Finite Group Databasebeta

← #7680458

Subgroups — #7680458

Order 512.

4710 conjugacy classes of subgroups.

The subgroup lattice has 1645 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59330C212yesmaximal, complemented
2#59323C212yesmaximal, complemented
3#59297C212yesmaximal, complemented
4#59292C212yesmaximal, complemented
5#59280C212yesmaximal, complemented
6#59275C212yesmaximal, complemented
7#59264C212yesmaximal, complemented
8#59251C212yesmaximal, complemented
9#44810C214yesmaximal, complemented
10#44805C214yesmaximal, complemented
11#43949C214yesmaximal, complemented
12#43943C214yesmaximal, complemented
13#39761C211yesmaximal, characteristic, complemented
14#39635C211yesmaximal, characteristic, complemented
15#39047C212yesmaximal, complemented
16#39041C212yesmaximal, complemented
17#38978C211yesmaximal, characteristic, complemented
18#38976C211yesmaximal, characteristic, complemented
19#37938C212yesmaximal, complemented
20#37749C212yesmaximal, complemented
21#36477C211yesmaximal, characteristic, complemented
22#36464C211yesmaximal, characteristic, complemented
23#36174C211yesmaximal, characteristic, complemented
24#36134C211yesmaximal, characteristic, complemented
25#35645C212yesmaximal, complemented
26#35587C212yesmaximal, complemented
27#35294C211yesmaximal, characteristic, complemented
28#35270C212yesmaximal, complemented
29#34976C211yesmaximal, characteristic
30#34952C211yesmaximal, characteristic, complemented
31#34221C212yesmaximal, complemented
32#34196C211yesmaximal, characteristic, complemented
33#34193C211yesmaximal, characteristic, complemented
34#34123C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#533C2212yes—
38C2×C4×#41C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41#2868C2211yescharacteristic
42#2859C2211yescharacteristic
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2857C2212yes—
46#2855C2212yes—
47#2854C2212yes—
48#2850C2212yes—
49#2802C2214yes—
50#2802C2214yes—
51#2793C2214yes—
52#2777C2214yes—
53#2772C2214yes—
54#2766C2214yes—
55#2764C2214yes—
56#2764C2214yes—
57#2762C2214yes—
58#2761C2214yes—
59#2758C2214yes—
60#2749C2214yes—
61#2748C2214yes—
62#2747C2214yes—
63#2744C2214yes—
64#2743C2214yes—
65#2743C2214yes—
66#2738C2214yes—
67#2719C2214yes—
68#2716C2214yes—
69#2696C2214yes—
70#2694C2214yes—
71#2692C2214yes—
72#2690C2214yes—
73#2647C2212yes—
74#2645C2212yes—
75#2644C2212yes—
76#2640C2212yes—
77#2629C2212yes—
78#2628C2212yes—
79#2611C2214yes—
80#2609C2214yes—
81#2608C2214yes—
82#2601C2214yes—
83#2589C2214yes—
84#2587C2214yes—
85#2582C2211yescharacteristic
86#2582C2211yescharacteristic
87#2582C2211yescharacteristic
88#2581C2212yes—
89#2580C2212yes—
90#2579C2214yes—
91#2577C2214yes—
92#2577C2214yes—
93#2576C2214yes—
94#2575C2214yes—
95#2573C2214yes—
96#2573C2214yes—
97#2573C2214yes—
98#2570C2212yes—
99#2570C2212yes—
100#2570C2212yes—
101#2566C2212yes—
102#2558C2214yes—
103#2556C2214yes—
104#2553C2214yes—
105#2552C2212yes—
106#2550C2212yes—
107#2550C2212yes—
108#2542C2212yes—
109#2538C2211yescharacteristic
110#2538C2211yescharacteristic
111#2538C2211yescharacteristic
112#2538C2211yescharacteristic
113#2537C2211yescharacteristic
114#2533C2214yes—
115#2533C2214yes—
116#2532C2214yes—
117#2530C2214yes—
118#2530C2214yes—
119#2529C2214yes—
120#2529C2214yes—
121#2527C2214yes—
122#2526C2214yes—
123#2526C2214yes—
124#2524C2214yes—
125#2524C2214yes—
126#2522C2214yes—
127#2520C2214yes—
128#2519C2214yes—
129#2518C2214yes—
130#2518C2214yes—
131#2516C2214yes—
132#2514C2212yes—
133#2512C2212yes—
134#2511C2212yes—
135#2511C2212yes—
136#2511C2212yes—
137#2511C2212yes—
138#2510C2214yes—
139#2509C2212yes—
140#2508C2214yes—
141#2508C2212yes—
142#2507C2212yes—
143#2507C2212yes—
144#2506C2212yes—
145#2506C2212yes—
146#2499C2212yes—
147#2499C2212yes—
148#2497C2212yes—
149#2497C2212yes—
150#2496C2212yes—
151#2495C2212yes—
152#2495C2212yes—
153#2495C2212yes—
154#2492C2212yes—
155#2490C2212yes—
156#2489C2212yes—
157#2489C2212yes—
158#2488C2214yes—
159#2487C2212yes—
160#2485C2212yes—
161#2485C2212yes—
162#2477C2214yes—
163#2477C2214yes—
164#2471C2214yes—
165#2471C2214yes—
166#2468C2214yes—
167#2465C2214yes—
168#2458C2214yes—
169#2454C2214yes—
170#2453C2212yes—
171#2453C2212yes—
172#2450C2214yes—
173#2448C2212yes—
174#2446C2212yes—
175#2441C2214yes—
176#2441C2212yes—
177#2441C2212yes—
178#2441C2212yes—
179#2439C2212yes—
180#2439C2212yes—
181#2439C2212yes—
182#2429C2214yes—
183#2429C2212yes—
184#2426C2212yes—
185#2423C2212yes—
186#2423C2212yes—
187#2422C2212yes—
188#2420C2212yes—
189#2419C2214yes—
190#2409C2212yes—
191#2407C2212yes—
192#2407C2212yes—
193#2396C2214yes—
194#2392C2214yes—
195#2371C2214yes—
196#2371C2214yes—
197#2370C2212yes—
198#2368C2214yes—
199#2368C2214yes—
200#2365C2212yes—
201#2363C2212yes—
202#2363C2212yes—
203#2357C2212yes—
204#2356C2214yes—
205#2356C2211yescharacteristic
206#2356C2211yescharacteristic
207#2356C2214yes—
208#2355C2211yescharacteristic
209#2355C2211yescharacteristic
210#2355C2212yes—
211#2355C2212yes—
212#2354C2212yes—
213#2354C2211yescharacteristic
214#2354C2211yescharacteristic
215#2354C2212yes—
216#2354C2212yes—
217#2353C2212yes—
218#2353C2212yes—
219Q8×C4⋊C4C2211yescharacteristic
220Q8×C4⋊C4C2211yescharacteristic
221Q8×C4⋊C4C2211yescharacteristic
222Q8×C4⋊C4C2211yescharacteristic
223#2349C2211yescharacteristic
224#2349C2211yescharacteristic
225#2347C2214yes—
226#2347C2212yes—
227#2347C2212yes—
228#2346C2211yescharacteristic
229#2346C2211yescharacteristic
230#2346C2212yes—
231#2344C2212yes—
232#2344C2214yes—
233#2343C2212yes—
234#2343C2214yes—
235#2343C2212yes—
236#2343C2214yes—
237#2341C2212yes—
238Q8×C22⋊C4C2212yes—
239#2339C2211yescharacteristic
240#2339C2211yescharacteristic
241#2331C2212yes—
242#2331C2212yes—
243#2330C2212yes—
244#2327C2211yescharacteristic
245#2327C2211yescharacteristic
246#2327C2212yes—
247#2326C2211yescharacteristic
248#2326C2211yescharacteristic
249#2323C2212yes—
250#2323C2212yes—
251#2322C2212yes—
252#2322C2212yes—
253#2320C2214yes—
254#2320C2212yes—
255#2320C2212yes—
256#2320C2212yes—
257#2319C2212yes—
258#2319C2214yes—
259#2317C2211yescharacteristic
260#2311C2211yescharacteristic
261#2310C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×#124C2211yescharacteristic
265C4×#124C2211yescharacteristic
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×#123C2212yes—
275C4×#123C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278#2297C2212yes—
279#2296C2212yes—
280#2295C2211yescharacteristic
281#2295C2211yescharacteristic
282#2290C2212yes—
283#2290C2212yes—
284#2285C2211yescharacteristic
285#2285C2212yes—
286#2285C2212yes—
287#2285C2211yescharacteristic
288#2283C2212yes—
289#2283C2212yes—
290#2283C2211yescharacteristic
291#2283C2212yes—
292#2283C2212yes—
293#2276C2212yes—
294#2276C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×#376C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302#536—28no—
303#533—216no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×#126C2314yes—
310C2×#125C2314yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#124C2311yescharacteristic
316C2×#124C2311yescharacteristic
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C4×#41—28no—
331C4×#41—28no—
332C2×C4×Q8—28no—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2314yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2314yes—
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2314yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2314yes—
372C2×#117C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C42C2312yes—
376C22×C42C2312yes—
377C22×C42C2312yes—
378C22×C42C2312yes—
379C22×C42C2312yes—
380C22×C42C2311yescharacteristic
381#401C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#395C2314yes—
442#395C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#392C2314yes—
453#391C2311yescharacteristic
454#391C2311yescharacteristic
455#391C2311yescharacteristic
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2312yes—
459#391C2312yes—
460#391C2311yescharacteristic
461#391C2312yes—
462#391C2312yes—
463#391C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2311yescharacteristic
476#391C2311yescharacteristic
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2314yes—
480#390C2312yes—
481#390C2312yes—
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#390C2312yes—
485#390C2312yes—
486#390C2314yes—
487#390C2314yes—
488#390C2312yes—
489#390C2314yes—
490#390C2314yes—
491#390C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#388C2312yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2312yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#386C2312yes—
630#386C2312yes—
631#386C2312yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2312yes—
646#385C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2314yes—
651#385C2312yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2312yes—
660#385C2314yes—
661#384C2311yescharacteristic
662#384C2311yescharacteristic
663#384C2312yes—
664#384C2312yes—
665#384C2312yes—
666#384C2311yescharacteristic
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#383C2312yes—
675#383C2314yes—
676#383C2314yes—
677#383C2312yes—
678#383C2314yes—
679#383C2312yes—
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#382C2314yes—
691#382C2314yes—
692#382C2314yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2314yes—
697#382C2311yescharacteristic
698#382C2311yescharacteristic
699#382C2312yes—
700#381C2312yes—
701#381C2312yes—
702#381C2312yes—
703#381C2314yes—
704#381C2312yes—
705#381C2312yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2312yes—
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2314yes—
717#380C2312yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2311yescharacteristic
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797#376C2312yes—
798#376C2314yes—
799#376C2312yes—
800#376C2314yes—
801#376C2311yescharacteristic
802#376C2311yescharacteristic
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808#376C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—42no—
820C2×#41—42no—
821C22×Q8—24no—
822C22×Q8—24no—
823C22×Q8—42no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2414yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2414yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C4⋊Q8—24no—
851C4⋊Q8—28no—
852C4⋊Q8—44no—
853C4⋊Q8—82no—
854C4⋊Q8#4118yescomplemented
855#126—84no—
856#125—216no—
857#125—44no—
858#125—44no—
859#125—84no—
860#125—82no—
861#124—24no—
862#124—24no—
863#123—28no—
864#123—28no—
865#123—84no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—216no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—84no—
874#121—28no—
875#121—44no—
876C4×Q8—28no—
877C4×Q8—28no—
878C4×Q8—216no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—28no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×D4—24no—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—42no—
902C4×D4—42no—
903C4×D4—84no—
904#117—24no—
905#117—24no—
906#117—216no—
907#117—28no—
908#117—28no—
909#117—24no—
910#117—42no—
911#117—44no—
912#117—44no—
913#117—44no—
914#117—82no—
915#117—84no—
916C2×C4⋊C4—24no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C42—28no—
1030C2×C42—28no—
1031C2×C42—28no—
1032C2×C42—28no—
1033C2×C42—44no—
1034C2×C42#4118yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161C24C2512yes—
1162C24C2511yescharacteristic
1163C24C2512yes—
1164#41—416no—
1165#41—416no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—28no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—42no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×Q8—416no—
1183C2×Q8C2×#4114yes—
1184C2×Q8C2×#4114yes—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—28no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D42−1+414yes—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—41no—
1224C22×C4—42no—
1225C22×C4—41no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4C2×#4114yes—
1243C22×C4C2×#4114yes—
1244C22×C4C2×#4114yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2514yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2514yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2514yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4C2×#4118yes—
1347C4⋊C4C2×#4118yes—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C42—24no—
1389C42—24no—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—24no—
1394C42—24no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—28no—
1402C42—28no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—42no—
1412C42—42no—
1413C42—41no—
1414C42—41no—
1415C42—44no—
1416C42—44no—
1417C42—44no—
1418C42—44no—
1419C42—44no—
1420C42—44no—
1421C42—44no—
1422C42—44no—
1423C42—41no—
1424C42—41no—
1425C42C2×#4114yes—
1426C42C2×#4114yes—
1427C42C2×#4114yes—
1428C42C2×#4114yes—
1429C42C2×#4114yes—
1430C23—22no—
1431C23—22no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—22no—
1436C23—21no—
1437C23—22no—
1438C23—21no—
1439C23—22no—
1440C23—22no—
1441C23—21no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23C22×#4112yes—
1450C23C2×2−1+414yes—
1451C23C2611yescharacteristic
1452Q8—28no—
1453Q8—28no—
1454Q8—48no—
1455Q8—44no—
1456Q8—44no—
1457Q8—88no—
1458D4—28no—
1459D4—48no—
1460D4—48no—
1461D4—44no—
1462D4—88no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—28no—
1480C2×C4—28no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—44no—
1548C2×C4—48no—
1549C2×C4—48no—
1550C2×C4—48no—
1551C2×C4—48no—
1552C2×C4—48no—
1553C2×C4—48no—
1554C2×C4—48no—
1555C2×C4—84no—
1556C2×C4—84no—
1557C2×C4—84no—
1558C2×C4—84no—
1559C2×C4—84no—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4112yes—
1563C2×C4C22×#4112yes—
1564C2×C4C22×#4112yes—
1565C2×C4C22×#4114yes—
1566C2×C4C22×#4114yes—
1567C2×C4C22×#4112yes—
1568C2×C4C22×#4112yes—
1569C2×C4C22×#4112yes—
1570C2×C4C22×#4112yes—
1571C2×C4C2×2−1+412yes—
1572C2×C4#58512yes—
1573C2×C4#58512yes—
1574C22—24no—
1575C22—22no—
1576C22—24no—
1577C22—22no—
1578C22—24no—
1579C22—22no—
1580C22—41no—
1581C22—42no—
1582C22—41no—
1583C22—42no—
1584C22—41no—
1585C22—42no—
1586C22—42no—
1587C22—41no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22C23×#4111yescharacteristic
1596C22C23×#4111yescharacteristic
1597C22C22×2−1+411yescharacteristic
1598C22C2×#58511yescharacteristic
1599C22C2×#58511yescharacteristic
1600C22H(7,𝔽2)11yescharacteristic
1601C222−1+611yescharacteristic
1602C4—22no—
1603C4—22no—
1604C4—22no—
1605C4—22no—
1606C4—22no—
1607C4—22no—
1608C4—24no—
1609C4—24no—
1610C4—41no—
1611C4—42no—
1612C4—41no—
1613C4—42no—
1614C4—44no—
1615C4—44no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—41no—
1623C4—42no—
1624C4—41no—
1625C4—44no—
1626C4—42no—
1627C4—42no—
1628C4—41no—
1629C4—44no—
1630C4—42no—
1631C4—41no—
1632C4#347514yes—
1633C4#349514yes—
1634C2—44no—
1635C2—42no—
1636C2—82no—
1637C2C2×#347511yescharacteristic
1638C2C2×#349511yescharacteristic
1639C2#6285611yescharacteristic
1640C2#6295111yescharacteristic
1641C2#6296711yescharacteristic
1642C2#6299811yescharacteristic
1643C2#6300611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34976C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59330C2semidirect
2. #59323C2semidirect
3. #59297C2semidirect
4. #59292C2semidirect
5. #59280C2semidirect
6. #59275C2semidirect
7. #59264C2semidirect
8. #59251C2semidirect
9. #44810C2semidirect
10. #44805C2semidirect
11. #43949C2semidirect
12. #43943C2semidirect
13. #39761C2semidirect
14. #39635C2semidirect
15. #39047C2semidirect
16. #39041C2semidirect
17. #38978C2semidirect
18. #38976C2semidirect
19. #37938C2semidirect
20. #37749C2semidirect
21. #36477C2semidirect
22. #36464C2semidirect
23. #36174C2semidirect
24. #36134C2semidirect
25. #35645C2semidirect
26. #35587C2semidirect
27. #35294C2semidirect
28. #35270C2semidirect
30. #34952C2semidirect
31. #34221C2semidirect
32. #34196C2semidirect
33. #34193C2semidirect
34. #34123C2semidirect
35. C4×#536C2semidirect
854. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#593302
#593232
#592972
#592922
#592802
#592752
#592642
#592512
#448102
#448052
#439492
#439432
#397612
#396352
#390472
#390412
#389782
#389762
#379382
#377492
#364772
#364642
#361742
#361342
#356452
#355872
#352942
#352702
#349762
#349522
#342212
#341962
#341932
#341232
C4×#5362