Finite Group Databasebeta

← #7681111

Subgroups — #7681111

Order 512.

4813 conjugacy classes of subgroups.

The subgroup lattice has 1679 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59510C212yesmaximal, complemented
2#59505C212yesmaximal, complemented
3#59500C212yesmaximal, complemented
4#59499C212yesmaximal, complemented
5#59494C214yesmaximal, complemented
6#59491C214yesmaximal, complemented
7#45293C212yesmaximal, complemented
8#45080C212yesmaximal, complemented
9#45030C212yesmaximal, complemented
10#44999C212yesmaximal, complemented
11#43266C214yesmaximal, complemented
12#43223C214yesmaximal, complemented
13#39547C212yesmaximal, complemented
14#39544C212yesmaximal, complemented
15#37938C212yesmaximal, complemented
16#37937C212yesmaximal, complemented
17#37887C212yesmaximal, complemented
18#37883C212yesmaximal, complemented
19#36201C212yesmaximal, complemented
20#36189C212yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35555C211yesmaximal, characteristic, complemented
23#35516C211yesmaximal, characteristic
24#35516C211yesmaximal, characteristic
25#35265C211yesmaximal, characteristic, complemented
26#35257C211yesmaximal, characteristic, complemented
27#35253C211yesmaximal, characteristic, complemented
28#34814C211yesmaximal, characteristic, complemented
29C2×#2497C211yesmaximal, characteristic, complemented
30#34253C211yesmaximal, characteristic, complemented
31#34252C211yesmaximal, characteristic, complemented
32#34183C211yesmaximal, characteristic, complemented
33#34180C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic
35C4×#544C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#525C2211yescharacteristic
38C2×#520C2211yescharacteristic
39C2×#520C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41C22×#117C2211yescharacteristic
42#2864C2212yescomplemented
43#2859C2212yescomplemented
44#2857C2212yes—
45#2857C2212yescomplemented
46#2851C2212yes—
47#2851C2212yescomplemented
48#2793C2214yes—
49#2793C2214yes—
50#2791C2214yescomplemented
51#2791C2214yescomplemented
52#2776C2214yescomplemented
53#2775C2214yes—
54#2772C2214yes—
55#2768C2214yes—
56#2767C2214yescomplemented
57#2765C2214yescomplemented
58#2764C2214yescomplemented
59#2758C2214yescomplemented
60#2750C2214yes—
61#2747C2214yescomplemented
62#2745C2214yescomplemented
63#2743C2214yes—
64#2741C2214yes—
65#2739C2214yescomplemented
66#2738C2214yes—
67#2719C2214yescomplemented
68#2707C2214yes—
69#2702C2214yes—
70#2694C2214yes—
71#2690C2214yescomplemented
72#2647C2212yescomplemented
73#2647C2212yescomplemented
74#2629C2212yes—
75#2629C2212yescomplemented
76#2628C2212yes—
77#2628C2212yescomplemented
78#2611C2214yes—
79#2611C2214yescomplemented
80#2609C2214yes—
81#2606C2214yescomplemented
82#2596C2214yes—
83#2577C2214yescomplemented
84#2575C2214yescomplemented
85#2570C2214yescomplemented
86#2570C2212yescomplemented
87#2570C2212yescomplemented
88#2569C2214yes—
89#2558C2214yes—
90#2556C2214yes—
91#2552C2212yescomplemented
92#2552C2212yescomplemented
93#2533C2214yescomplemented
94#2533C2214yescomplemented
95#2532C2214yes—
96#2530C2214yescomplemented
97#2529C2214yes—
98#2528C2214yescomplemented
99#2524C2214yescomplemented
100#2520C2214yescomplemented
101#2519C2214yes—
102#2515C2214yes—
103#2515C2214yescomplemented
104#2511C2214yescomplemented
105#2509C2212yescomplemented
106#2509C2212yescomplemented
107#2509C2212yescomplemented
108#2508C2212yescomplemented
109#2508C2212yescomplemented
110#2508C2212yescomplemented
111#2507C2212yescomplemented
112#2507C2212yescomplemented
113#2507C2212yescomplemented
114#2507C2212yescomplemented
115#2507C2212yescomplemented
116#2506C2212yescomplemented
117#2506C2212yescomplemented
118#2506C2212yescomplemented
119#2506C2212yescomplemented
120#2506C2212yescomplemented
121#2505C2214yes—
122#2497C2212yes—
123#2497C2212yes—
124#2497C2211yescharacteristic
125#2497C2212yes—
126#2497C2212yes—
127#2497C2212yes—
128#2497C2212yes—
129#2497C2212yes—
130#2497C2212yes—
131#2497C2211yescharacteristic
132#2496C2211yescharacteristic
133#2496C2211yescharacteristic
134#2495C2211yescharacteristic
135#2495C2211yescharacteristic
136#2494C2211yescharacteristic
137#2494C2211yescharacteristic
138#2493C2212yes—
139#2493C2212yes—
140#2487C2212yes—
141#2487C2212yes—
142#2486C2212yes—
143#2486C2212yes—
144#2485C2212yes—
145#2485C2212yes—
146#2485C2212yes—
147#2485C2212yes—
148#2484C2214yescomplemented
149#2484C2214yescomplemented
150#2480C2212yes—
151#2480C2212yes—
152#2477C2214yes—
153#2475C2214yescomplemented
154#2473C2214yes—
155#2473C2214yes—
156#2473C2214yes—
157#2468C2214yes—
158#2462C2214yescomplemented
159#2460C2214yes—
160#2458C2214yes—
161#2454C2212yescomplemented
162#2453C2212yescomplemented
163#2452C2212yescomplemented
164#2451C2212yescomplemented
165#2450C2214yes—
166#2449C2214yes—
167#2442C2214yes—
168#2442C2212yes—
169#2442C2214yescomplemented
170#2441C2214yes—
171#2441C2212yes—
172#2440C2212yes—
173#2439C2212yes—
174#2438C2214yes—
175#2437C2214yes—
176#2423C2212yes—
177#2423C2212yes—
178#2423C2214yes—
179#2422C2212yes—
180#2422C2212yes—
181#2421C2212yes—
182#2421C2212yes—
183#2420C2212yes—
184#2420C2212yes—
185#2419C2214yes—
186#2419C2214yes—
187#2418C2214yes—
188#2418C2214yes—
189#2417C2214yes—
190#2413C2214yes—
191#2413C2214yes—
192#2401C2212yes—
193#2401C2212yes—
194C2×#400C2212yes—
195C2×#396C2212yes—
196#2373C2214yes—
197#2371C2214yescomplemented
198#2363C2211yescharacteristic
199#2363C2211yescharacteristic
200#2362C2211yescharacteristic
201#2362C2211yescharacteristic
202#2361C2211yescharacteristic
203#2361C2211yescharacteristic
204#2360C2211yescharacteristic
205#2360C2211yescharacteristic
206#2360C2214yescomplemented
207#2359C2212yes—
208#2359C2212yes—
209#2358C2212yes—
210#2358C2212yes—
211#2357C2212yescomplemented
212#2356C2212yescomplemented
213#2355C2212yescomplemented
214#2354C2212yescomplemented
215#2353C2214yes—
216#2352C2214yes—
217#2352C2214yes—
218Q8×C4⋊C4C2212yescomplemented
219Q8×C4⋊C4C2212yescomplemented
220D4×C4⋊C4C2214yes—
221D4×C4⋊C4C2214yes—
222D4×C4⋊C4C2212yescomplemented
223D4×C4⋊C4C2212yescomplemented
224#2347C2212yes—
225#2347C2212yescomplemented
226#2347C2212yescomplemented
227#2346C2212yes—
228#2346C2212yescomplemented
229#2346C2212yescomplemented
230#2345C2212yes—
231#2345C2212yescomplemented
232#2345C2212yescomplemented
233#2344C2212yes—
234#2344C2212yescomplemented
235#2344C2212yescomplemented
236#2343C2214yes—
237#2342C2214yes—
238#2331C2212yescomplemented
239#2331C2212yescomplemented
240#2330C2212yescomplemented
241#2330C2212yescomplemented
242#2329C2214yes—
243#2320C2212yescomplemented
244#2319C2212yescomplemented
245#2318C2214yes—
246#2317C2211yescharacteristic
247#2317C2211yescharacteristic
248#2317C2211yescharacteristic
249#2317C2211yescharacteristic
250#2317C2211yescharacteristic
251#2317C2211yescharacteristic
252#2317C2212yescomplemented
253#2317C2212yescomplemented
254#2316C2211yescharacteristic
255#2316C2211yescharacteristic
256#2316C2211yescharacteristic
257#2314C2212yes—
258#2314C2212yes—
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261C4×C4⋊Q8C2212yescomplemented
262C4×C4⋊Q8C2212yescomplemented
263C4×#125C2212yescomplemented
264C4×#125C2212yescomplemented
265C4×#126C2212yes—
266C4×#126C2212yes—
267C4×C22⋊Q8C2214yes—
268#2297C2211yescharacteristic
269#2296C2211yescharacteristic
270#2296C2211yescharacteristic
271#2296C2211yescharacteristic
272#2295C2212yescomplemented
273#2293C2212yes—
274#2293C2212yescomplemented
275C2×#389C2211yescharacteristic
276C2×#389C2211yescharacteristic
277#2290C2212yes—
278#2290C2212yes—
279#2290C2214yes—
280C2×#388C2212yes—
281C2×#387C2212yes—
282#2285C2211yescharacteristic
283#2285C2212yes—
284#2285C2212yescomplemented
285C2×#384C2211yescharacteristic
286C2×#384C2212yescomplemented
287#2283C2212yes—
288#2280C2211yescharacteristic
289#2280C2211yescharacteristic
290C2×#380C2211yescharacteristic
291C2×#380C2211yescharacteristic
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294C42×D4C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C24×C4C2311yescharacteristic
301#544—28no—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×#126C2312yes—
305C2×#126C2312yes—
306C2×#125C2312yes—
307C2×#125C2312yes—
308C2×#125C2314yes—
309C2×#125C2314yes—
310C2×#125C2314yes—
311C2×#125C2314yes—
312#525—28no—
313C2×#123C2312yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#120C2312yes—
324#520—28no—
325#520—28no—
326C4×#41—28no—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2314yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×#117—28no—
345C2×#117C2311yescharacteristic
346C2×#117C2311yescharacteristic
347C2×#117C2312yes—
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2314yes—
359C2×#117C2314yes—
360C2×#117C2314yes—
361C2×#117C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2314yes—
374C22×C4⋊C4C2314yes—
375C22×C4⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C42C2312yes—
382C22×C42C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386#401C2312yes—
387#401C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2312yes—
458#395C2314yes—
459#395C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#393C2314yes—
465#393C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2311yescharacteristic
475#390C2312yes—
476#390C2312yes—
477#390C2311yescharacteristic
478#390C2311yescharacteristic
479#390C2312yes—
480#390C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2314yes—
490#389C2314yes—
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2312yes—
495#389C2314yes—
496#389C2314yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2312yes—
516#389C2314yes—
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2314yes—
534#389C2314yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
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#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#386C2312yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2314yes—
656#385C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2312yes—
660#385C2314yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#384C2312yes—
665#384C2312yes—
666#384C2312yes—
667#384C2314yes—
668#384C2312yes—
669#384C2312yes—
670#384C2312yes—
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#384C2314yes—
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2311yescharacteristic
678#383C2312yes—
679#383C2312yes—
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2314yes—
688#382C2314yes—
689#382C2312yes—
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#382C2314yes—
694#382C2314yes—
695#382C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2312yes—
701#381C2312yes—
702#381C2314yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2314yes—
709#380C2314yes—
710#380C2311yescharacteristic
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2311yescharacteristic
735#379C2312yes—
736#379C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C22⋊C4C2311yescharacteristic
776C4×C22⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2311yescharacteristic
812C2×#95C2311yescharacteristic
813C2×#95C2312yes—
814C43C2312yes—
815C43C2312yes—
816C25C2411yescharacteristic
817C2×#41—24no—
818C2×#41—24no—
819C2×#41#4118yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2414yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C23×C4—24no—
827C23×C4—24no—
828C23×C4—24no—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2411yescharacteristic
850C4⋊Q8—28no—
851C4⋊Q8—28no—
852#126—28no—
853#126—44no—
854#125—28no—
855#125—28no—
856#125—48no—
857#125—84no—
858#125—84no—
859#125—84no—
860#123—28no—
861#123—84no—
862#123—84no—
863C22⋊Q8—24no—
864C22⋊Q8—24no—
865C22⋊Q8—216no—
866C22⋊Q8—48no—
867C22⋊Q8—84no—
868#121—24no—
869#121—24no—
870#120—28no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—84no—
876C4×D4—216no—
877C4×D4—216no—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—24no—
883C4×D4—24no—
884C4×D4—28no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—44no—
888#117—24no—
889#117—28no—
890#117—28no—
891#117—24no—
892#117—24no—
893#117—24no—
894#117—24no—
895#117—24no—
896#117—24no—
897#117—24no—
898#117—28no—
899#117—28no—
900#117—28no—
901#117—84no—
902#117—84no—
903#117—84no—
904#117#4118yes—
905C2×C4⋊C4—28no—
906C2×C4⋊C4—28no—
907C2×C4⋊C4—24no—
908C2×C4⋊C4—24no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—24no—
911C2×C4⋊C4—24no—
912C2×C4⋊C4—24no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4—84no—
915C2×C4⋊C4—84no—
916C2×C4⋊C4—82no—
917C2×C4⋊C4—82no—
918C2×C4⋊C4—82no—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C22⋊C4—28no—
995C2×C22⋊C4—24no—
996C2×C22⋊C4—42no—
997C2×C22⋊C4—82no—
998C2×C22⋊C4—82no—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C42—24no—
1045C2×C42—24no—
1046C2×C42—28no—
1047C2×C42—28no—
1048C2×C42—82no—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24—22no—
1165C24—22no—
1166C24—22no—
1167C24—22no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24C2511yescharacteristic
1172C24C2512yes—
1173C24C2511yescharacteristic
1174C24C2511yescharacteristic
1175#41—232no—
1176C2×Q8—22no—
1177C2×Q8—28no—
1178C2×Q8—22no—
1179C2×Q8—44no—
1180C2×Q8—44no—
1181C2×Q8C2×#4114yes—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4C2×#4118yes—
1193C2×D4C2×#4114yes—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—24no—
1202C22×C4—22no—
1203C22×C4—28no—
1204C22×C4—28no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—41no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—416no—
1254C22×C4C2×#4118yes—
1255C22×C4C2×#4114yes—
1256C22×C4C2×#4114yes—
1257C22×C42−1+414yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
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—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4C2×#4114yes—
1363C4⋊C4C2×#4114yes—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—22no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4C2×#4118yes—
1408C22⋊C42−1+414yes—
1409C42—22no—
1410C42—24no—
1411C42—24no—
1412C42—22no—
1413C42—24no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—22no—
1418C42—24no—
1419C42—28no—
1420C42—28no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—42no—
1435C42—44no—
1436C42—44no—
1437C42—42no—
1438C42—42no—
1439C42—42no—
1440C42—44no—
1441C42—42no—
1442C42—42no—
1443C42C2×#4118yes—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—22no—
1456C23—21no—
1457C23—21no—
1458C23—22no—
1459C23—22no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—82no—
1472C23—82no—
1473C23—82no—
1474C23C22×#4114yes—
1475C23C22×#4112yes—
1476C23C22×#4112yes—
1477C23C2×2−1+412yes—
1478C23C2×2−1+412yes—
1479C23C2611yescharacteristic
1480Q8—28no—
1481Q8—88no—
1482D4—216no—
1483D4—28no—
1484D4—48no—
1485D4—84no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—216no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—24no—
1568C2×C4—48no—
1569C2×C4—48no—
1570C2×C4—44no—
1571C2×C4—48no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—84no—
1580C2×C4—84no—
1581C2×C4—84no—
1582C2×C4—84no—
1583C2×C4—88no—
1584C2×C4—88no—
1585C2×C4—82no—
1586C2×C4—84no—
1587C2×C4#552116yes—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4114yes—
1590C2×C4C22×#4114yes—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4112yes—
1595C2×C4C2×2−1+412yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4C2×2−1+412yes—
1598C2×C4C2×2−1+412yes—
1599C2×C4#58512yes—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—24no—
1609C22—24no—
1610C22—22no—
1611C22—24no—
1612C22—42no—
1613C22—42no—
1614C22—41no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—42no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—88no—
1628C22C2×#55214yes—
1629C22C23×#4111yescharacteristic
1630C22C23×#4111yescharacteristic
1631C22C22×2−1+411yescharacteristic
1632C22C22×2−1+411yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22H(7,𝔽2)11yescharacteristic
1635C22H(7,𝔽2)11yescharacteristic
1636C4—22no—
1637C4—24no—
1638C4—22no—
1639C4—24no—
1640C4—22no—
1641C4—24no—
1642C4—42no—
1643C4—41no—
1644C4—42no—
1645C4—41no—
1646C4—42no—
1647C4—44no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—44no—
1654C4—44no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—41no—
1659C4—41no—
1660C4—44no—
1661C4—42no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4C2×#55214yes—
1666C4C2×#55214yes—
1667C2—24no—
1668C2—44no—
1669C2—42no—
1670C2—81no—
1671C2C22×#55211yescharacteristic
1672C2#6280511yescharacteristic
1673C2#6285811yescharacteristic
1674C2#6292911yescharacteristic
1675C2#6294511yescharacteristic
1676C2#6300011yescharacteristic
1677C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59510C2semidirect
2. #59505C2semidirect
3. #59500C2semidirect
4. #59499C2semidirect
5. #59494C2semidirect
6. #59491C2semidirect
7. #45293C2semidirect
8. #45080C2semidirect
9. #45030C2semidirect
10. #44999C2semidirect
11. #43266C2semidirect
12. #43223C2semidirect
13. #39547C2semidirect
14. #39544C2semidirect
15. #37938C2semidirect
16. #37937C2semidirect
17. #37887C2semidirect
18. #37883C2semidirect
19. #36201C2semidirect
20. #36189C2semidirect
21. #35585C2semidirect
22. #35555C2semidirect
25. #35265C2semidirect
26. #35257C2semidirect
27. #35253C2semidirect
28. #34814C2semidirect
29. C2×#2497C2semidirect
30. #34253C2semidirect
31. #34252C2semidirect
32. #34183C2semidirect
33. #34180C2semidirect
35. C4×#544C2semidirect
42. #2864C22semidirect
43. #2859C22semidirect
45. #2857C22semidirect
47. #2851C22semidirect
50. #2791C22semidirect
51. #2791C22semidirect
52. #2776C22semidirect
56. #2767C22semidirect
57. #2765C22semidirect
58. #2764C22semidirect
59. #2758C22semidirect
61. #2747C22semidirect
62. #2745C22semidirect
65. #2739C22semidirect
67. #2719C22semidirect
71. #2690C22semidirect
72. #2647C22semidirect
73. #2647C22semidirect
75. #2629C22semidirect
77. #2628C22semidirect
79. #2611C22semidirect
81. #2606C22semidirect
83. #2577C22semidirect
84. #2575C22semidirect
85. #2570C22semidirect
86. #2570C22semidirect
87. #2570C22semidirect
91. #2552C22semidirect
92. #2552C22semidirect
93. #2533C22semidirect
94. #2533C22semidirect
96. #2530C22semidirect
98. #2528C22semidirect
99. #2524C22semidirect
100. #2520C22semidirect
103. #2515C22semidirect
104. #2511C22semidirect
105. #2509C22semidirect
106. #2509C22semidirect
107. #2509C22semidirect
108. #2508C22semidirect
109. #2508C22semidirect
110. #2508C22semidirect
111. #2507C22semidirect
112. #2507C22semidirect
113. #2507C22semidirect
114. #2507C22semidirect
115. #2507C22semidirect
116. #2506C22semidirect
117. #2506C22semidirect
118. #2506C22semidirect
119. #2506C22semidirect
120. #2506C22semidirect
148. #2484C22semidirect
149. #2484C22semidirect
153. #2475C22semidirect
158. #2462C22semidirect
161. #2454C22semidirect
162. #2453C22semidirect
163. #2452C22semidirect
164. #2451C22semidirect
169. #2442C22semidirect
197. #2371C22semidirect
206. #2360C22semidirect
211. #2357C22semidirect
212. #2356C22semidirect
213. #2355C22semidirect
214. #2354C22semidirect
218. Q8×C4⋊C4C22semidirect
219. Q8×C4⋊C4C22semidirect
222. D4×C4⋊C4C22semidirect
223. D4×C4⋊C4C22semidirect
225. #2347C22semidirect
226. #2347C22semidirect
228. #2346C22semidirect
229. #2346C22semidirect
231. #2345C22semidirect
232. #2345C22semidirect
234. #2344C22semidirect
235. #2344C22semidirect
238. #2331C22semidirect
239. #2331C22semidirect
240. #2330C22semidirect
241. #2330C22semidirect
243. #2320C22semidirect
244. #2319C22semidirect
252. #2317C22semidirect
253. #2317C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×#125C22semidirect
264. C4×#125C22semidirect
272. #2295C22semidirect
274. #2293C22semidirect
284. #2285C22semidirect
286. C2×#384C22semidirect

Maximal subgroups

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

subgroupindex
#595102
#595052
#595002
#594992
#594942
#594912
#452932
#450802
#450302
#449992
#432662
#432232
#395472
#395442
#379382
#379372
#378872
#378832
#362012
#361892
#355852
#355552
#355162
#352652
#352572
#352532
#348142
C2×#24972
#342532
#342522
#341832
#341802
#341362
C4×#5442