Finite Group Databasebeta

← #7653691

Subgroups — #7653691

Order 512.

5191 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42588C212yesmaximal, complemented
2#42582C212yesmaximal, complemented
3#41259C214yesmaximal, complemented
4#41238C214yesmaximal, complemented
5#40141C212yesmaximal, complemented
6#39585C214yesmaximal, complemented
7#39533C212yesmaximal, complemented
8#39437C212yesmaximal, complemented
9#39417C212yesmaximal, complemented
10#39363C211yesmaximal, characteristic, complemented
11#39343C211yesmaximal, characteristic, complemented
12#39341C211yesmaximal, characteristic
13#38966C211yesmaximal, characteristic, complemented
14#38837C214yesmaximal, complemented
15#38212C212yesmaximal, complemented
16#37787C212yesmaximal, complemented
17#37625C211yesmaximal, characteristic, complemented
18#37512C212yesmaximal, complemented
19#36481C211yesmaximal, characteristic, complemented
20#36477C211yesmaximal, characteristic, complemented
21#36462C212yesmaximal, complemented
22#36407C212yesmaximal, complemented
23#36302C211yesmaximal, characteristic, complemented
24#36115C211yesmaximal, characteristic, complemented
25#35890C212yesmaximal, complemented
26#35865C212yesmaximal, complemented
27#35308C212yesmaximal, complemented
28#35288C211yesmaximal, characteristic, complemented
29#35209C211yesmaximal, characteristic, complemented
30#35030C212yesmaximal, complemented
31#34975C211yesmaximal, characteristic, complemented
32#34724C212yesmaximal, complemented
33#34334C211yesmaximal, characteristic, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#541C2212yes—
39C2×#537C2212yes—
40C2×#536C2212yes—
41C2×#536C2212yes—
42C2×#532C2211yescharacteristic
43C2×#529C2212yes—
44C2×C4×#41C2212yes—
45#2863C2212yes—
46#2861C2212yes—
47#2860C2212yes—
48#2859C2211yescharacteristic
49#2859C2212yes—
50#2858C2211yescharacteristic
51#2857C2214yes—
52#2857C2211yescharacteristic
53#2856C2211yescharacteristic
54#2855C2212yes—
55#2850C2212yes—
56#2850C2214yes—
57#2831C2214yes—
58#2829C2214yes—
59#2829C2214yes—
60#2796C2214yes—
61#2795C2214yes—
62#2790C2214yes—
63#2772C2214yes—
64#2768C2214yes—
65#2716C2214yes—
66#2711C2214yes—
67#2711C2214yes—
68#2710C2214yes—
69#2707C2214yes—
70#2706C2214yes—
71#2705C2214yes—
72#2705C2214yes—
73#2704C2214yes—
74#2702C2214yes—
75#2691C2214yes—
76#2691C2214yes—
77#2690C2214yes—
78#2681C2214yes—
79#2681C2214yes—
80#2676C2214yes—
81#2675C2214yes—
82#2674C2214yes—
83#2672C2214yes—
84#2664C2214yes—
85#2653C2214yes—
86#2650C2214yes—
87#2648C2214yes—
88#2648C2214yes—
89#2644C2212yes—
90#2644C2212yes—
91#2641C2212yes—
92#2636C2214yes—
93#2630C2214yes—
94#2630C2214yes—
95#2629C2212yes—
96#2624C2212yes—
97#2624C2212yes—
98#2621C2214yes—
99#2620C2214yes—
100#2620C2212yes—
101#2620C2212yes—
102#2616C2212yes—
103#2615C2212yes—
104#2608C2214yes—
105#2606C2214yes—
106#2587C2214yes—
107#2578C2214yes—
108#2574C2214yes—
109#2574C2214yes—
110#2572C2214yes—
111#2570C2212yes—
112#2566C2212yes—
113#2566C2212yes—
114#2560C2214yes—
115#2559C2214yes—
116#2559C2214yes—
117#2558C2214yes—
118#2556C2214yes—
119#2556C2214yes—
120#2554C2214yes—
121#2554C2214yes—
122#2552C2212yes—
123#2552C2211yescharacteristic
124#2552C2211yescharacteristic
125#2551C2212yes—
126#2548C2211yescharacteristic
127#2546C2211yescharacteristic
128#2542C2211yescharacteristic
129#2541C2211yescharacteristic
130#2541C2212yes—
131#2538C2211yescharacteristic
132#2538C2211yescharacteristic
133#2533C2212yes—
134#2531C2214yes—
135#2528C2212yes—
136#2522C2214yes—
137#2519C2214yes—
138#2518C2214yes—
139#2514C2211yescharacteristic
140#2513C2212yes—
141#2513C2212yes—
142#2512C2212yes—
143#2512C2212yes—
144#2510C2214yes—
145#2508C2212yes—
146#2507C2212yes—
147#2506C2212yes—
148#2506C2211yescharacteristic
149#2500C2212yes—
150#2497C2212yes—
151#2496C2211yescharacteristic
152#2491C2212yes—
153#2490C2214yes—
154#2490C2212yes—
155#2490C2212yes—
156#2489C2212yes—
157#2489C2211yescharacteristic
158#2478C2214yes—
159#2478C2212yes—
160#2476C2214yes—
161#2476C2214yes—
162#2475C2212yes—
163#2471C2214yes—
164#2471C2214yes—
165#2470C2214yes—
166#2467C2214yes—
167#2466C2214yes—
168#2459C2214yes—
169#2457C2214yes—
170#2455C2214yes—
171#2454C2212yes—
172#2454C2212yes—
173#2454C2212yes—
174#2453C2211yescharacteristic
175#2452C2212yes—
176#2452C2212yes—
177#2452C2212yes—
178#2448C2212yes—
179#2447C2212yes—
180#2446C2211yescharacteristic
181#2445C2212yes—
182#2445C2212yes—
183#2445C2212yes—
184#2445C2212yes—
185#2445C2212yes—
186#2444C2214yes—
187#2442C2212yes—
188#2441C2214yes—
189#2441C2212yes—
190#2441C2212yes—
191#2439C2214yes—
192#2436C2212yes—
193#2432C2212yes—
194#2429C2212yes—
195#2429C2212yes—
196#2429C2212yes—
197#2429C2211yescharacteristic
198#2428C2212yes—
199#2428C2212yes—
200#2427C2212yes—
201#2427C2212yes—
202#2427C2212yes—
203#2427C2212yes—
204#2426C2212yes—
205#2426C2212yes—
206#2425C2214yes—
207#2425C2214yes—
208#2425C2214yes—
209#2425C2214yes—
210#2423C2212yes—
211#2422C2212yes—
212#2422C2212yes—
213#2421C2211yescharacteristic
214#2420C2212yes—
215#2416C2212yes—
216#2415C2212yes—
217#2409C2212yes—
218#2407C2212yes—
219#2402C2212yes—
220#2401C2212yes—
221#2395C2214yes—
222#2392C2214yes—
223#2372C2212yes—
224#2372C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2369C2212yes—
228#2369C2211yescharacteristic
229#2369C2211yescharacteristic
230#2368C2214yes—
231#2366C2212yes—
232#2366C2211yescharacteristic
233#2366C2211yescharacteristic
234#2366C2212yes—
235#2366C2211yescharacteristic
236#2365C2211yescharacteristic
237#2363C2214yes—
238#2363C2212yes—
239#2363C2211yescharacteristic
240#2363C2212yes—
241#2363C2212yes—
242#2363C2211yescharacteristic
243#2363C2211yescharacteristic
244#2363C2211yescharacteristic
245#2363C2212yes—
246#2360C2212yes—
247#2357C2212yes—
248#2355C2211yescharacteristic
249#2354C2212yes—
250#2354C2212yes—
251#2354C2211yescharacteristic
252#2354C2212yes—
253Q8×C4⋊C4C2211yescharacteristic
254#2349C2212yes—
255D4×C4⋊C4C2211yescharacteristic
256#2347C2212yes—
257#2341C2212yes—
258Q8×C22⋊C4C2212yes—
259#2331C2212yes—
260#2329C2214yes—
261#2325C2214yes—
262#2324C2212yes—
263#2323C2212yes—
264#2319C2212yes—
265#2318C2214yes—
266#2317C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2212yes—
270C4×#127C2212yes—
271C4×#127C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#125C2212yes—
274C4×#126C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#123C2214yes—
280C4×#121C2212yes—
281C4×#121C2214yes—
282#2297C2212yes—
283#2297C2212yes—
284#2296C2214yes—
285#2295C2211yescharacteristic
286C2×#391C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302#550—28no—
303D4×Q8—28no—
304#541—48no—
305#537—48no—
306#536—48no—
307#536—48no—
308#532—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2314yes—
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319#529—48no—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#125C2312yes—
330C2×#125C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C4×#41—48no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2311yescharacteristic
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2311yescharacteristic
402C2×#117C2314yes—
403C2×#117C2314yes—
404C2×#117C2314yes—
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C22×C4⋊C4C2312yes—
408C22×C42C2311yescharacteristic
409C22×C42C2312yes—
410C22×C42C2314yes—
411C22×C42C2312yes—
412#401C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2312yes—
439#398C2312yes—
440#398C2312yes—
441#398C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#395C2314yes—
475#395C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2314yes—
519#391C2314yes—
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2312yes—
526#391C2311yescharacteristic
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2314yes—
606#389C2311yescharacteristic
607#389C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#384C2312yes—
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#384C2314yes—
716#384C2312yes—
717#383C2312yes—
718#383C2314yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2314yes—
724#382C2314yes—
725#381C2314yes—
726#381C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2314yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809#376C2311yescharacteristic
810#376C2312yes—
811#376C2312yes—
812#376C2311yescharacteristic
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8—28no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2414yes—
832C22×Q8C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2411yescharacteristic
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2414yes—
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C4⋊Q8—24no—
862C4⋊Q8—28no—
863C4⋊Q8—24no—
864C4⋊Q8—28no—
865C4⋊Q8—24no—
866C4⋊Q8—48no—
867#127—24no—
868#127—28no—
869#127—24no—
870#127—44no—
871#126—44no—
872#126—48no—
873#126—48no—
874#126—48no—
875#125—24no—
876#125—44no—
877#125—44no—
878#125—44no—
879#125—48no—
880#125—44no—
881#125—48no—
882#124—28no—
883#124—48no—
884#124—44no—
885#124—44no—
886#124—44no—
887#123—48no—
888#123—48no—
889#123—48no—
890#123—48no—
891#123—48no—
892#123—48no—
893C22⋊Q8—24no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—24no—
898C22⋊Q8—216no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905#121—24no—
906#121—28no—
907#121—24no—
908#121—28no—
909#121—216no—
910#121—44no—
911#121—48no—
912#121—48no—
913#121—48no—
914#121—48no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919C4×Q8—24no—
920C4×Q8—24no—
921C4×Q8—24no—
922C4×Q8—24no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—24no—
933C4×D4—24no—
934C4×D4—48no—
935C4×D4—44no—
936C4×D4—42no—
937C4×D4—44no—
938C4×D4—42no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—48no—
943C4×D4—44no—
944C4×D4—48no—
945C4×D4—48no—
946C4×D4#4118yes—
947#117—28no—
948#117—24no—
949#117—44no—
950#117—44no—
951#117—48no—
952#117—42no—
953#117—48no—
954#117—42no—
955#117—42no—
956#117—48no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C42—24no—
1084C2×C42—44no—
1085C2×C42—48no—
1086C2×C42—44no—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2414yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192C24C2512yes—
1193C24C2514yes—
1194C24C2511yescharacteristic
1195C24C2512yes—
1196#41—432no—
1197#41—816no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—24no—
1201C2×Q8—28no—
1202C2×Q8—24no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—44no—
1209C2×Q8—42no—
1210C2×Q8—44no—
1211C2×Q8—42no—
1212C2×Q8—816no—
1213C2×Q8H(5,𝔽2)14yes—
1214C2×D4—24no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—28no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4C2×#4114yes—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—28no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—28no—
1264C22×C4—28no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—28no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—28no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—28no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—41no—
1281C22×C4—42no—
1282C22×C4—44no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4C2×#4118yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2514yes—
1314C22×C4C2514yes—
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—28no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—28no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—28no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—28no—
1354C4⋊C4—28no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—44no—
1367C4⋊C4—41no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4C2×#4114yes—
1395C4⋊C4H(5,𝔽2)14yes—
1396C4⋊C42−1+414yes—
1397C22⋊C4—24no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—22no—
1414C22⋊C4—24no—
1415C22⋊C4—41no—
1416C22⋊C4—44no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4C2×#4118yes—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—24no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—22no—
1462C42—22no—
1463C42—28no—
1464C42—22no—
1465C42—22no—
1466C42—24no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—22no—
1477C42—24no—
1478C42—42no—
1479C42—42no—
1480C42—42no—
1481C42—44no—
1482C42—42no—
1483C42—44no—
1484C42—41no—
1485C42—41no—
1486C42—41no—
1487C42—42no—
1488C42—44no—
1489C42—42no—
1490C42—44no—
1491C42—42no—
1492C42C2×#4114yes—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—24no—
1501C23—21no—
1502C23—21no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23—24no—
1507C23—24no—
1508C23—21no—
1509C23—24no—
1510C23—22no—
1511C23—21no—
1512C23—22no—
1513C23—24no—
1514C23—24no—
1515C23—22no—
1516C23—21no—
1517C23—21no—
1518C23—24no—
1519C23—22no—
1520C23C22×#4114yes—
1521C23C2611yescharacteristic
1522Q8—28no—
1523Q8—48no—
1524Q8—44no—
1525Q8—88no—
1526Q8—84no—
1527D4—28no—
1528D4—48no—
1529D4—416no—
1530D4—44no—
1531D4—48no—
1532D4—48no—
1533D4—84no—
1534D4—84no—
1535D4—88no—
1536D4—84no—
1537D4—84no—
1538D4—88no—
1539D4—164no—
1540D4—164no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—216no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—24no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—416no—
1623C2×C4—44no—
1624C2×C4—416no—
1625C2×C4—44no—
1626C2×C4—48no—
1627C2×C4—44no—
1628C2×C4—84no—
1629C2×C4—84no—
1630C2×C4—88no—
1631C2×C4—84no—
1632C2×C4—88no—
1633C2×C4—84no—
1634C2×C4—164no—
1635C2×C4C22×#4112yes—
1636C2×C4C22×#4114yes—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4112yes—
1639C2×C4C2×H(5,𝔽2)14yes—
1640C2×C4C2×H(5,𝔽2)14yes—
1641C2×C4C2×H(5,𝔽2)12yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×2−1+414yes—
1644C2×C4C2×2−1+412yes—
1645C2×C4#58512yes—
1646C2×C4#58512yes—
1647C2×C4#58512yes—
1648C22—24no—
1649C22—24no—
1650C22—24no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—44no—
1656C22—42no—
1657C22—41no—
1658C22—42no—
1659C22—44no—
1660C22—41no—
1661C22—44no—
1662C22—41no—
1663C22—42no—
1664C22—41no—
1665C22—42no—
1666C22—44no—
1667C22—42no—
1668C22—41no—
1669C22—44no—
1670C22—41no—
1671C22—42no—
1672C22—44no—
1673C22—41no—
1674C22—42no—
1675C22—44no—
1676C22C23×#4111yescharacteristic
1677C22C22×H(5,𝔽2)11yescharacteristic
1678C22C22×H(5,𝔽2)11yescharacteristic
1679C22C22×2−1+411yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22C2×#58511yescharacteristic
1683C4—24no—
1684C4—24no—
1685C4—22no—
1686C4—24no—
1687C4—24no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—44no—
1693C4—42no—
1694C4—41no—
1695C4—42no—
1696C4—41no—
1697C4—42no—
1698C4—42no—
1699C4—44no—
1700C4—41no—
1701C4—41no—
1702C4—42no—
1703C4—42no—
1704C4—44no—
1705C4—41no—
1706C4—41no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4#346114yes—
1713C4#351914yes—
1714C2—44no—
1715C2—84no—
1716C2—82no—
1717C2—81no—
1718C2C2×#346111yescharacteristic
1719C2C2×#351911yescharacteristic
1720C2#6281011yescharacteristic
1721C2#6301311yescharacteristic
1722C2#6301911yescharacteristic
1723C2#6303511yescharacteristic
1724C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39341C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42588C2semidirect
2. #42582C2semidirect
3. #41259C2semidirect
4. #41238C2semidirect
5. #40141C2semidirect
6. #39585C2semidirect
7. #39533C2semidirect
8. #39437C2semidirect
9. #39417C2semidirect
10. #39363C2semidirect
11. #39343C2semidirect
13. #38966C2semidirect
14. #38837C2semidirect
15. #38212C2semidirect
16. #37787C2semidirect
17. #37625C2semidirect
18. #37512C2semidirect
19. #36481C2semidirect
20. #36477C2semidirect
21. #36462C2semidirect
22. #36407C2semidirect
23. #36302C2semidirect
24. #36115C2semidirect
25. #35890C2semidirect
26. #35865C2semidirect
27. #35308C2semidirect
28. #35288C2semidirect
29. #35209C2semidirect
30. #35030C2semidirect
31. #34975C2semidirect
32. #34724C2semidirect
33. #34334C2semidirect
34. C4×#550C2semidirect
35. #34155C2semidirect

Maximal subgroups

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

subgroupindex
#425882
#425822
#412592
#412382
#401412
#395852
#395332
#394372
#394172
#393632
#393432
#393412
#389662
#388372
#382122
#377872
#376252
#375122
#364812
#364772
#364622
#364072
#363022
#361152
#358902
#358652
#353082
#352882
#352092
#350302
#349752
#347242
#343342
C4×#5502
#341552