Finite Group Databasebeta

← #7626967

Subgroups — #7626967

Order 512.

6906 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3506C211yesmaximal, characteristic
2#34510C214yesmaximal, complemented
3#34505C214yesmaximal, complemented
4#34483C212yesmaximal, complemented
5#34477C214yesmaximal, complemented
6#34467C212yesmaximal, complemented
7#34460C212yesmaximal, complemented
8#34454C214yesmaximal, complemented
9#34451C214yesmaximal, complemented
10#34415C212yesmaximal, complemented
11#34411C212yesmaximal, complemented
12#34403C211yesmaximal, characteristic, complemented
13#34396C212yesmaximal, complemented
14#34369C211yesmaximal, characteristic, complemented
15#34361C212yesmaximal, complemented
16#34329C214yesmaximal, complemented
17#34323C212yesmaximal, complemented
18#34319C212yesmaximal, complemented
19#34306C212yesmaximal, complemented
20#34298C212yesmaximal, complemented
21#34253C212yesmaximal, complemented
22#34252C212yesmaximal, complemented
23#34231C211yesmaximal, characteristic, complemented
24#34228C212yesmaximal, complemented
25#34190C211yesmaximal, characteristic, complemented
26C4×#553C212yesmaximal, complemented
27#34126C211yesmaximal, characteristic, complemented
28#34086C211yesmaximal, characteristic, complemented
29#34082C212yesmaximal, complemented
30#3506C4132yescomplemented
31C2×#559C2214yes—
32C2×#556C2212yes—
33C2×#555C2211yescharacteristic
34C2×#555C2211yescharacteristic
35C2×#553C2212yes—
36C2×#553C2212yes—
37C2×#550C2212yes—
38C2×#547C2211yescharacteristic
39C2×#547C2211yescharacteristic
40C2×#538C2214yes—
41C2×#535C2212yes—
42C2×#533C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#525C2212yes—
45C2×#525C2212yes—
46C2×#520C2212yes—
47C22×C4×D4C2211yescharacteristic
48#2383C2214yescomplemented
49#2381C2212yescomplemented
50#2380C2214yes—
51#2380C2212yescomplemented
52#2379C2214yes—
53#2379C2214yescomplemented
54#2378C2212yes—
55#2378C2212yes—
56#2378C2214yescomplemented
57#2377C2214yescomplemented
58#2377C2214yescomplemented
59#2376C2214yescomplemented
60#2375C2214yes—
61#2375C2214yes—
62#2374C2214yescomplemented
63#2374C2214yescomplemented
64#2374C2214yescomplemented
65#2373C2214yescomplemented
66#2373C2214yescomplemented
67#2373C2214yescomplemented
68#2372C2214yes—
69#2372C2214yescomplemented
70#2372C2214yescomplemented
71#2370C2212yescomplemented
72#2370C2212yescomplemented
73#2369C2212yescomplemented
74#2368C2214yescomplemented
75#2367C2214yescomplemented
76#2367C2214yescomplemented
77#2366C2214yes—
78#2365C2212yescomplemented
79#2364C2214yescomplemented
80#2364C2214yescomplemented
81#2363C2212yes—
82#2363C2212yes—
83#2363C2212yes—
84#2363C2212yes—
85#2363C2214yescomplemented
86#2362C2214yes—
87#2361C2212yes—
88#2361C2212yes—
89#2361C2212yes—
90#2361C2212yes—
91#2361C2214yescomplemented
92#2359C2214yescomplemented
93#2359C2214yescomplemented
94#2359C2214yescomplemented
95#2359C2214yescomplemented
96#2358C2214yes—
97#2358C2214yes—
98#2357C2212yes—
99#2357C2212yes—
100#2357C2214yes—
101#2357C2214yescomplemented
102#2356C2214yescomplemented
103#2356C2214yescomplemented
104#2356C2214yescomplemented
105#2355C2214yescomplemented
106#2354C2214yes—
107#2354C2214yescomplemented
108#2353C2214yes—
109#2353C2214yes—
110#2353C2214yes—
111#2353C2214yescomplemented
112#2353C2214yescomplemented
113#2352C2214yes—
114#2352C2212yescomplemented
115#2352C2212yescomplemented
116#2352C2214yescomplemented
117#2352C2212yescomplemented
118#2352C2212yescomplemented
119#2352C2214yescomplemented
120#2349C2212yes—
121#2349C2212yes—
122#2347C2212yes—
123#2347C2212yes—
124#2347C2212yescomplemented
125#2347C2212yescomplemented
126#2346C2212yes—
127#2346C2212yes—
128#2346C2212yescomplemented
129#2346C2212yescomplemented
130#2345C2212yes—
131#2345C2212yescomplemented
132#2345C2212yescomplemented
133#2344C2211yescharacteristic
134#2344C2211yescharacteristic
135#2344C2212yescomplemented
136#2344C2212yescomplemented
137#2343C2214yescomplemented
138#2343C2214yescomplemented
139#2342C2214yes—
140#2342C2212yes—
141#2342C2212yes—
142#2339C2214yescomplemented
143#2339C2214yescomplemented
144D4×C22⋊C4C2212yes—
145D4×C22⋊C4C2211yescharacteristic
146D4×C22⋊C4C2211yescharacteristic
147#2337C2214yes—
148#2337C2214yes—
149#2337C2214yescomplemented
150#2337C2212yescomplemented
151#2337C2212yescomplemented
152#2337C2214yescomplemented
153#2335C2214yescomplemented
154#2335C2214yescomplemented
155#2335C2214yescomplemented
156#2335C2214yescomplemented
157#2334C2214yescomplemented
158#2334C2214yescomplemented
159#2334C2214yescomplemented
160#2333C2211yescharacteristic
161#2333C2212yes—
162#2333C2211yescharacteristic
163#2333C2211yescharacteristic
164#2333C2211yescharacteristic
165#2333C2212yes—
166#2333C2214yes—
167#2333C2214yescomplemented
168#2333C2214yescomplemented
169#2332C2212yes—
170#2332C2212yes—
171#2332C2212yes—
172#2332C2212yes—
173#2332C2214yescomplemented
174#2331C2212yescomplemented
175#2331C2212yescomplemented
176#2331C2212yescomplemented
177#2329C2214yescomplemented
178#2328C2214yes—
179#2328C2214yes—
180#2328C2212yescomplemented
181#2326C2214yescomplemented
182#2325C2214yescomplemented
183#2325C2214yescomplemented
184#2324C2212yes—
185#2324C2212yes—
186#2324C2212yes—
187#2324C2212yes—
188#2324C2212yes—
189#2324C2212yes—
190#2324C2214yescomplemented
191#2322C2214yescomplemented
192#2321C2214yes—
193#2321C2214yes—
194#2321C2214yes—
195#2321C2214yes—
196#2320C2214yescomplemented
197#2320C2212yescomplemented
198#2320C2214yescomplemented
199#2319C2214yes—
200#2319C2212yes—
201#2318C2214yes—
202#2318C2214yes—
203#2318C2214yescomplemented
204#2318C2214yescomplemented
205#2317C2212yescomplemented
206#2316C2212yescomplemented
207#2314C2214yescomplemented
208#2311C2212yes—
209#2311C2212yes—
210#2311C2214yescomplemented
211C4×#125C2212yescomplemented
212C4×#125C2212yescomplemented
213C4×#126C2214yescomplemented
214C4×#124C2214yescomplemented
215C4×#123C2214yescomplemented
216C4×#123C2214yescomplemented
217C4×#123C2214yescomplemented
218C4×#121C2212yes—
219C4×#121C2212yes—
220C4×#121C2212yes—
221C4×#121C2212yes—
222C4×#121C2214yescomplemented
223#2298C2214yescomplemented
224#2297C2212yes—
225#2297C2212yes—
226#2297C2214yescomplemented
227#2296C2212yescomplemented
228#2295C2214yescomplemented
229#2293C2211yescharacteristic
230#2293C2214yes—
231#2293C2211yescharacteristic
232#2293C2212yescomplemented
233C2×#389C2212yescomplemented
234#2290C2212yes—
235#2290C2214yes—
236#2290C2212yes—
237#2290C2212yescomplemented
238#2290C2214yescomplemented
239#2290C2214yescomplemented
240#2290C2212yescomplemented
241#2283C2211yescharacteristic
242#2283C2211yescharacteristic
243#2283C2211yescharacteristic
244#2280C2212yes—
245#2280C2212yes—
246C2×#381C2212yes—
247#2276C2212yescomplemented
248#2275C2212yes—
249#2275C2214yescomplemented
250#2274C2212yescomplemented
251#2274C2212yescomplemented
252C42×D4C2211yescharacteristic
253C42×D4C2211yescharacteristic
254C42×D4C2212yescomplemented
255C42×D4C2214yescomplemented
256C4×#117C2211yescharacteristic
257C4×#117C2212yescomplemented
258C2×C4×C4⋊C4C2212yescomplemented
259C2×C4×C22⋊C4C2212yes—
260C22×#41C2312yes—
261C22×#41C2312yes—
262C22×#41C2312yes—
263C23×D4C2311yescharacteristic
264C24×C4C2312yes—
265#559C2×C4164yescomplemented
266#556C2×C4132yescomplemented
267#555C2×C4116yescomplemented
268#555C2×C4116yescomplemented
269#553C2×C4132yescomplemented
270#553C2×C4132yescomplemented
271#550C2×C4132yescomplemented
272#547C2×C4116yescomplemented
273#547C2×C4116yescomplemented
274#538C2×C4164yescomplemented
275#535C2×C4132yescomplemented
276#533C2×C4116yescomplemented
277#532C2×C4116yescomplemented
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2311yescharacteristic
281C2×#127C2314yes—
282C2×#127C2311yescharacteristic
283C2×#126C2314yes—
284C2×#126C2314yes—
285C2×#125C2312yes—
286C2×#124C2314yes—
287C2×#124C2314yes—
288C2×#124C2312yes—
289C2×#124C2314yes—
290#525C2×C4132yescomplemented
291#525C2×C4132yescomplemented
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2314yes—
306C2×#121C2312yes—
307C2×#121C2311yescharacteristic
308C2×#121C2311yescharacteristic
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#120C2314yes—
312C2×#120C2314yes—
313#520C2×C4132yescomplemented
314C2×C4×Q8C2314yes—
315C2×C4×Q8C2312yes—
316C2×C4×Q8C2314yes—
317C2×C4×Q8C2312yes—
318C2×C4×D4C2×C4116yescomplemented
319C2×C4×D4C2314yes—
320C2×C4×D4C2314yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2314yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2314yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2314yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2314yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2314yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×#117C2312yes—
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2312yes—
352C2×#117C2314yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2314yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2314yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2312yes—
369C22×C22⋊C4C2314yes—
370C22×C22⋊C4C2312yes—
371C22×C22⋊C4C2312yes—
372C22×C22⋊C4C2312yes—
373C22×C42C2312yes—
374C22×C42C2312yes—
375C22×C42C2312yes—
376C22×C42C2312yes—
377C22×C42C2314yes—
378C22×C42C2311yescharacteristic
379#391C2314yes—
380#391C2314yes—
381#391C2314yes—
382#391C2314yes—
383#391C2312yes—
384#391C2314yes—
385#391C2314yes—
386#391C2314yes—
387#391C2314yes—
388#391C2312yes—
389#391C2312yes—
390#391C2312yes—
391#391C2314yes—
392#390C2314yes—
393#390C2314yes—
394#390C2314yes—
395#390C2314yes—
396#390C2312yes—
397#390C2312yes—
398#390C2312yes—
399#390C2312yes—
400#390C2314yes—
401#390C2314yes—
402#390C2314yes—
403#390C2314yes—
404#390C2312yes—
405#390C2312yes—
406#390C2312yes—
407#390C2312yes—
408#390C2312yes—
409#390C2314yes—
410#390C2314yes—
411#390C2312yes—
412#389C2312yes—
413#389C2312yes—
414#389C2312yes—
415#389C2312yes—
416#389C2312yes—
417#389C2312yes—
418#389C2314yes—
419#389C2314yes—
420#389C2312yes—
421#389C2312yes—
422#389C2312yes—
423#389C2314yes—
424#389C2314yes—
425#389C2314yes—
426#389C2314yes—
427#389C2312yes—
428#389C2312yes—
429#389C2312yes—
430#389C2312yes—
431#389C2314yes—
432#389C2312yes—
433#388C2314yes—
434#388C2314yes—
435#388C2314yes—
436#388C2314yes—
437#388C2314yes—
438#388C2314yes—
439#388C2314yes—
440#388C2314yes—
441#388C2314yes—
442#388C2312yes—
443#388C2314yes—
444#388C2314yes—
445#388C2314yes—
446#388C2314yes—
447#388C2314yes—
448#388C2314yes—
449#388C2314yes—
450#388C2314yes—
451#388C2314yes—
452#388C2314yes—
453#388C2314yes—
454#388C2314yes—
455#388C2314yes—
456#388C2314yes—
457#388C2314yes—
458#388C2314yes—
459#388C2314yes—
460#388C2314yes—
461#388C2314yes—
462#388C2314yes—
463#388C2314yes—
464#388C2312yes—
465#388C2312yes—
466#388C2312yes—
467#388C2312yes—
468#388C2314yes—
469#388C2314yes—
470#388C2314yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2312yes—
477#388C2314yes—
478#388C2314yes—
479#388C2312yes—
480#388C2312yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#387C2314yes—
486#387C2314yes—
487#387C2314yes—
488#387C2314yes—
489#387C2314yes—
490#387C2314yes—
491#387C2314yes—
492#387C2312yes—
493#387C2314yes—
494#387C2314yes—
495#387C2314yes—
496#387C2314yes—
497#387C2314yes—
498#387C2314yes—
499#387C2314yes—
500#387C2314yes—
501#387C2314yes—
502#387C2314yes—
503#387C2314yes—
504#387C2314yes—
505#387C2314yes—
506#387C2314yes—
507#387C2312yes—
508#387C2314yes—
509#387C2314yes—
510#387C2314yes—
511#387C2312yes—
512#387C2312yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#386C2314yes—
520#386C2314yes—
521#386C2314yes—
522#386C2314yes—
523#386C2312yes—
524#386C2314yes—
525#386C2314yes—
526#386C2314yes—
527#386C2312yes—
528#386C2314yes—
529#386C2314yes—
530#386C2312yes—
531#386C2314yes—
532#386C2314yes—
533#386C2312yes—
534#386C2314yes—
535#386C2314yes—
536#386C2314yes—
537#386C2314yes—
538#386C2314yes—
539#386C2314yes—
540#386C2314yes—
541#386C2314yes—
542#386C2312yes—
543#386C2312yes—
544#386C2314yes—
545#386C2314yes—
546#386C2312yes—
547#386C2314yes—
548#386C2314yes—
549#386C2314yes—
550#386C2312yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2312yes—
555#386C2312yes—
556#386C2312yes—
557#386C2312yes—
558#386C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2312yes—
571#385C2314yes—
572#385C2312yes—
573#385C2314yes—
574#385C2312yes—
575#385C2312yes—
576#385C2314yes—
577#385C2314yes—
578#385C2314yes—
579#384C2314yes—
580#383C2314yes—
581#383C2312yes—
582#383C2314yes—
583#383C2314yes—
584#383C2314yes—
585#383C2312yes—
586#383C2312yes—
587#382C2312yes—
588#382C2314yes—
589#382C2314yes—
590#382C2312yes—
591#382C2314yes—
592#382C2314yes—
593#382C2314yes—
594#382C2312yes—
595#381C2312yes—
596#381C2314yes—
597#381C2314yes—
598#381C2312yes—
599#381C2314yes—
600#381C2311yescharacteristic
601#381C2312yes—
602#381C2311yescharacteristic
603#381C2314yes—
604#381C2312yes—
605#381C2314yes—
606#380C2311yescharacteristic
607#380C2311yescharacteristic
608#380C2312yes—
609#380C2312yes—
610#380C2312yes—
611#380C2312yes—
612#380C2312yes—
613#380C2314yes—
614#380C2314yes—
615#380C2314yes—
616#380C2314yes—
617#380C2314yes—
618#380C2314yes—
619#380C2314yes—
620#380C2311yescharacteristic
621#380C2311yescharacteristic
622#380C2314yes—
623#379C2312yes—
624#379C2312yes—
625#379C2314yes—
626C4×C4⋊C4C2312yes—
627C4×C4⋊C4C2314yes—
628C4×C4⋊C4C2314yes—
629C4×C4⋊C4C2312yes—
630C4×C4⋊C4C2312yes—
631C4×C4⋊C4C2314yes—
632C4×C4⋊C4C2314yes—
633C4×C4⋊C4C2314yes—
634C4×C4⋊C4C2312yes—
635C4×C4⋊C4C2312yes—
636C4×C4⋊C4C2314yes—
637C4×C4⋊C4C2314yes—
638C4×C4⋊C4C2314yes—
639C4×C4⋊C4C2312yes—
640C4×C4⋊C4C2311yescharacteristic
641C4×C4⋊C4C2314yes—
642C4×C4⋊C4C2314yes—
643C4×C4⋊C4C2312yes—
644C4×C4⋊C4C2312yes—
645C4×C4⋊C4C2312yes—
646C4×C4⋊C4C2312yes—
647C4×C4⋊C4C2312yes—
648C4×C4⋊C4C2314yes—
649C4×C4⋊C4C2314yes—
650C4×C4⋊C4C2314yes—
651C4×C4⋊C4C2314yes—
652C4×C4⋊C4C2314yes—
653C4×C4⋊C4C2314yes—
654C4×C4⋊C4C2314yes—
655C4×C4⋊C4C2314yes—
656C4×C4⋊C4C2311yescharacteristic
657C4×C4⋊C4C2312yes—
658C4×C4⋊C4C2312yes—
659C4×C4⋊C4C2312yes—
660C4×C4⋊C4C2312yes—
661C4×C4⋊C4C2314yes—
662C4×C4⋊C4C2312yes—
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2311yescharacteristic
665C4×C4⋊C4C2311yescharacteristic
666C4×C22⋊C4C2314yes—
667C4×C22⋊C4C2314yes—
668C4×C22⋊C4C2314yes—
669C4×C22⋊C4C2314yes—
670C4×C22⋊C4C2314yes—
671C4×C22⋊C4C2312yes—
672C4×C22⋊C4C2314yes—
673C4×C22⋊C4C2314yes—
674C4×C22⋊C4C2314yes—
675C4×C22⋊C4C2314yes—
676C4×C22⋊C4C2314yes—
677C4×C22⋊C4C2311yescharacteristic
678C4×C22⋊C4C2312yes—
679C4×C22⋊C4C2311yescharacteristic
680C4×C22⋊C4C2312yes—
681C4×C22⋊C4C2312yes—
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2312yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2312yes—
686C4×C22⋊C4C2312yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2311yescharacteristic
700C4×C22⋊C4C2311yescharacteristic
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713#376C2314yes—
714#376C2312yes—
715#376C2314yes—
716#376C2312yes—
717#376C2314yes—
718#376C2314yes—
719#376C2312yes—
720#376C2314yes—
721#376C2312yes—
722C2×#95C2314yes—
723C2×#95C2314yes—
724C2×#95C2314yes—
725C2×#95C2314yes—
726C2×#95C2314yes—
727C43C2314yes—
728C43C2311yescharacteristic
729C43C2311yescharacteristic
730C25C2412yes—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—82no—
734C2×#41—82no—
735C2×#41—82no—
736C2×#41—82no—
737C2×#41C22×C4116yes—
738C2×#41C22×C4116yes—
739C2×#41C22×C4116yes—
740C22×Q8C2412yes—
741C22×Q8C2412yes—
742C22×Q8C2412yes—
743C22×D4—44no—
744C22×D4C22×C418yes—
745C22×D4C2411yescharacteristic
746C22×D4C2411yescharacteristic
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2412yes—
750C22×D4C2412yes—
751C22×D4C2412yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2411yescharacteristic
757C22×D4C2411yescharacteristic
758C23×C4—82no—
759C23×C4—82no—
760C23×C4C22×C4116yes—
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2411yescharacteristic
764C23×C4C2414yes—
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2414yes—
768C23×C4C2414yes—
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2412yes—
772C23×C4C2414yes—
773C23×C4C2412yes—
774C23×C4C2411yescharacteristic
775C23×C4C2412yes—
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2411yescharacteristic
783C4⋊Q8C22×C418yes—
784C4⋊Q8C22×C418yes—
785C4⋊Q8C22×C418yes—
786#127C22×C418yes—
787#127C22×C4132yes—
788#126C22×C4132yes—
789#126C22×C4132yes—
790#125C22×C4116yes—
791#124C22×C4116yes—
792#124C22×C4132yes—
793#124C22×C4132yes—
794#124C22×C4132yes—
795#123C22×C4132yes—
796#123C22×C4132yes—
797#123C22×C4132yes—
798#123C22×C4132yes—
799C22⋊Q8C22×C4116yes—
800C22⋊Q8C22×C4116yes—
801C22⋊Q8C22×C4116yes—
802C22⋊Q8C22×C4116yes—
803#121C22×C418yes—
804#121C22×C418yes—
805#121C22×C4116yes—
806#121C22×C4116yes—
807#121C22×C4116yes—
808#121C22×C4116yes—
809#121C22×C4116yes—
810#121C22×C4116yes—
811#121C22×C4116yes—
812#121C22×C4132yes—
813#121C22×C4132yes—
814#120C22×C4132yes—
815#120C22×C4132yes—
816C4×Q8—48no—
817C4×Q8C22×C4132yes—
818C4×Q8C22×C4116yes—
819C4×Q8C22×C4116yes—
820C4×D4—44no—
821C4×D4—48no—
822C4×D4—44no—
823C4×D4—44no—
824C4×D4—44no—
825C4×D4—44no—
826C4×D4—44no—
827C4×D4—48no—
828C4×D4—48no—
829C4×D4—48no—
830C4×D4—84no—
831C4×D4—84no—
832C4×D4—84no—
833C4×D4—84no—
834C4×D4C22×C418yes—
835C4×D4C22×C418yes—
836C4×D4C22×C4116yes—
837C4×D4C22×C418yes—
838C4×D4C22×C418yes—
839C4×D4C22×C4116yes—
840C4×D4C22×C4132yes—
841C4×D4C22×C4132yes—
842C4×D4C22×C4132yes—
843C4×D4C22×C4132yes—
844C4×D4C22×C4132yes—
845C4×D4C22×C418yes—
846C4×D4C22×C418yes—
847C4×D4C22×C4116yes—
848#117—44no—
849#117—44no—
850#117—44no—
851#117—44no—
852#117—44no—
853#117—82no—
854#117—84no—
855#117—82no—
856#117—82no—
857#117—84no—
858#117—82no—
859#117C22×C4116yes—
860#117C22×C4116yes—
861#117C22×C4116yes—
862#117C22×C4116yes—
863#117C22×C4116yes—
864C2×C4⋊C4—44no—
865C2×C4⋊C4—44no—
866C2×C4⋊C4—84no—
867C2×C4⋊C4C22×C418yes—
868C2×C4⋊C4C22×C4116yes—
869C2×C4⋊C4C22×C4116yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C22⋊C4—48no—
911C2×C22⋊C4—82no—
912C2×C22⋊C4—82no—
913C2×C22⋊C4C22×C4116yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2411yescharacteristic
919C2×C22⋊C4C2411yescharacteristic
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2411yescharacteristic
927C2×C22⋊C4C2411yescharacteristic
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C42—44no—
969C2×C42—44no—
970C2×C42—82no—
971C2×C42—82no—
972C2×C42—84no—
973C2×C42C22×C418yes—
974C2×C42C2412yes—
975C2×C42C2412yes—
976C2×C42C2412yes—
977C2×C42C2412yes—
978C2×C42C2414yes—
979C2×C42C2412yes—
980C2×C42C2411yescharacteristic
981C2×C42C2414yes—
982C2×C42C2411yescharacteristic
983C2×C42C2414yes—
984C2×C42C2414yes—
985C2×C42C2412yes—
986C2×C42C2414yes—
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2414yes—
990C2×C42C2414yes—
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2414yes—
994C2×C42C2414yes—
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2412yes—
999C2×C42C2411yescharacteristic
1000C2×C42C2414yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2414yes—
1007C2×C42C2414yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012#95C2414yes—
1013#95C2412yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070C24—44no—
1071C24—42no—
1072C24—42no—
1073C24—44no—
1074C24C23×C418yes—
1075C24C2511yescharacteristic
1076C24C2512yes—
1077C24C2512yes—
1078C24C2512yes—
1079C24C2512yes—
1080#41—432no—
1081#41—816no—
1082#41—816no—
1083C2×Q8—44no—
1084C2×Q8—42no—
1085C2×Q8—42no—
1086C2×Q8—42no—
1087C2×Q8—42no—
1088C2×Q8C23×C418yes—
1089C2×Q8C23×C418yes—
1090C2×Q8C23×C418yes—
1091C2×D4—24no—
1092C2×D4—24no—
1093C2×D4—416no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4C23×C414yes—
1116C2×D4C23×C414yes—
1117C2×D4C23×C418yes—
1118C2×D4C23×C418yes—
1119C2×D4C23×C418yes—
1120C2×D4C23×C418yes—
1121C2×D4C23×C4116yes—
1122C2×D4C23×C4116yes—
1123C2×D4C23×C418yes—
1124C2×D4C23×C414yes—
1125C2×D4C23×C414yes—
1126C2×D4C23×C4116yes—
1127C2×D4C23×C4116yes—
1128C22×C4—24no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—24no—
1132C22×C4—24no—
1133C22×C4—24no—
1134C22×C4—28no—
1135C22×C4—24no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—42no—
1143C22×C4—42no—
1144C22×C4—42no—
1145C22×C4—42no—
1146C22×C4—42no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—42no—
1164C22×C4—44no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—816no—
1181C22×C4C23×C414yes—
1182C22×C4C23×C418yes—
1183C22×C4C23×C418yes—
1184C22×C4C23×C414yes—
1185C22×C4C23×C414yes—
1186C22×C4C23×C418yes—
1187C22×C4C23×C4116yes—
1188C22×C4C23×C4116yes—
1189C22×C4C23×C418yes—
1190C22×C4C23×C418yes—
1191C22×C4C23×C418yes—
1192C22×C4C23×C418yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2514yes—
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2514yes—
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2514yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—28no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4C23×C414yes—
1244C4⋊C4C23×C414yes—
1245C4⋊C4C23×C418yes—
1246C4⋊C4C23×C418yes—
1247C4⋊C4C23×C4116yes—
1248C4⋊C4C23×C4116yes—
1249C4⋊C4C23×C418yes—
1250C4⋊C4C23×C414yes—
1251C4⋊C4C23×C414yes—
1252C4⋊C4C23×C418yes—
1253C4⋊C4C23×C4116yes—
1254C4⋊C4C23×C418yes—
1255C4⋊C4C23×C4116yes—
1256C4⋊C4C23×C418yes—
1257C22⋊C4—24no—
1258C22⋊C4—28no—
1259C22⋊C4—24no—
1260C22⋊C4—24no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—41no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—41no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4C23×C418yes—
1297C22⋊C4C23×C418yes—
1298C22⋊C4C23×C418yes—
1299C22⋊C4C23×C418yes—
1300C22⋊C4C23×C4116yes—
1301C22⋊C4C23×C4116yes—
1302C22⋊C4C23×C4116yes—
1303C22⋊C4C23×C4116yes—
1304C22⋊C4C23×C4116yes—
1305C22⋊C4C23×C418yes—
1306C22⋊C4C23×C418yes—
1307C22⋊C4C23×C4116yes—
1308C22⋊C4C23×C4116yes—
1309C22⋊C4C23×C418yes—
1310C22⋊C4C23×C418yes—
1311C42—24no—
1312C42—24no—
1313C42—24no—
1314C42—24no—
1315C42—24no—
1316C42—28no—
1317C42—42no—
1318C42—42no—
1319C42—42no—
1320C42—42no—
1321C42—41no—
1322C42—44no—
1323C42—41no—
1324C42—44no—
1325C42—42no—
1326C42—42no—
1327C42—44no—
1328C42—44no—
1329C42—44no—
1330C42—42no—
1331C42—44no—
1332C42—44no—
1333C42—41no—
1334C42—44no—
1335C42—41no—
1336C42—44no—
1337C42—44no—
1338C42—44no—
1339C42—44no—
1340C42—44no—
1341C42—44no—
1342C42C23×C414yes—
1343C42C23×C414yes—
1344C42C23×C414yes—
1345C42C23×C414yes—
1346C42C23×C4116yes—
1347C42C23×C4116yes—
1348C42C23×C4116yes—
1349C23—22no—
1350C23—24no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—24no—
1359C23—24no—
1360C23—24no—
1361C23—22no—
1362C23—22no—
1363C23—21no—
1364C23—21no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—48no—
1374C23—48no—
1375C23—48no—
1376C23—88no—
1377C23—88no—
1378C23C24×C414yes—
1379C23C24×C414yes—
1380C23C24×C412yes—
1381C23C24×C414yes—
1382C23C24×C414yes—
1383C23C2611yescharacteristic
1384Q8—48no—
1385Q8—48no—
1386Q8—48no—
1387D4—28no—
1388D4—28no—
1389D4—48no—
1390D4—48no—
1391D4—416no—
1392D4—416no—
1393D4—48no—
1394D4—48no—
1395D4—48no—
1396D4—416no—
1397D4—416no—
1398D4—44no—
1399D4—44no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—24no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—24no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—28no—
1422C2×C4—216no—
1423C2×C4—216no—
1424C2×C4—22no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—44no—
1458C2×C4—48no—
1459C2×C4—48no—
1460C2×C4—48no—
1461C2×C4—48no—
1462C2×C4—48no—
1463C2×C4—44no—
1464C2×C4—416no—
1465C2×C4—416no—
1466C2×C4—48no—
1467C2×C4—88no—
1468C2×C4—84no—
1469C2×C4—88no—
1470C2×C4—84no—
1471C2×C4—88no—
1472C2×C4—84no—
1473C2×C4—164no—
1474C2×C4—164no—
1475C2×C4—164no—
1476C2×C4C24×C412yes—
1477C2×C4C24×C418yes—
1478C2×C4C24×C412yes—
1479C2×C4C24×C414yes—
1480C2×C4C24×C414yes—
1481C2×C4C24×C412yes—
1482C2×C4C24×C412yes—
1483C2×C4C24×C414yes—
1484C2×C4C24×C414yes—
1485C2×C4C24×C412yes—
1486C2×C4C24×C418yes—
1487C2×C4C24×C412yes—
1488C2×C4#58514yes—
1489C2×C4#58514yes—
1490C22—22no—
1491C22—24no—
1492C22—24no—
1493C22—24no—
1494C22—24no—
1495C22—22no—
1496C22—24no—
1497C22—24no—
1498C22—24no—
1499C22—24no—
1500C22—22no—
1501C22—24no—
1502C22—24no—
1503C22—24no—
1504C22—24no—
1505C22—42no—
1506C22—42no—
1507C22—42no—
1508C22—44no—
1509C22—44no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—44no—
1515C22—44no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—816no—
1520C22C25×C411yescharacteristic
1521C22C2×#58512yes—
1522C22C2×#58512yes—
1523C22H(7,𝔽2)11yescharacteristic
1524C22H(7,𝔽2)11yescharacteristic
1525C4—22no—
1526C4—24no—
1527C4—24no—
1528C4—22no—
1529C4—22no—
1530C4—28no—
1531C4—22no—
1532C4—24no—
1533C4—24no—
1534C4—22no—
1535C4—28no—
1536C4—24no—
1537C4—42no—
1538C4—42no—
1539C4—44no—
1540C4—44no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—42no—
1545C4—44no—
1546C4—42no—
1547C4—44no—
1548C4#342814yes—
1549C2—44no—
1550C2—44no—
1551C2—44no—
1552C2—44no—
1553C2—42no—
1554C2C2×#342811yescharacteristic
1555C2C4×#58511yescharacteristic
1556C2#6265211yescharacteristic
1557C2#6293512yes—
1558C2#6293812yes—
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC2×#3506C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34510C2semidirect
3. #34505C2semidirect
4. #34483C2semidirect
5. #34477C2semidirect
6. #34467C2semidirect
7. #34460C2semidirect
8. #34454C2semidirect
9. #34451C2semidirect
10. #34415C2semidirect
11. #34411C2semidirect
12. #34403C2semidirect
13. #34396C2semidirect
14. #34369C2semidirect
15. #34361C2semidirect
16. #34329C2semidirect
17. #34323C2semidirect
18. #34319C2semidirect
19. #34306C2semidirect
20. #34298C2semidirect
21. #34253C2semidirect
22. #34252C2semidirect
23. #34231C2semidirect
24. #34228C2semidirect
25. #34190C2semidirect
26. C4×#553C2semidirect
27. #34126C2semidirect
28. #34086C2semidirect
29. #34082C2semidirect
30. #3506C4semidirect
48. #2383C22semidirect
49. #2381C22semidirect
51. #2380C22semidirect
53. #2379C22semidirect
56. #2378C22semidirect
57. #2377C22semidirect
58. #2377C22semidirect
59. #2376C22semidirect
62. #2374C22semidirect
63. #2374C22semidirect
64. #2374C22semidirect
65. #2373C22semidirect
66. #2373C22semidirect
67. #2373C22semidirect
69. #2372C22semidirect
70. #2372C22semidirect
71. #2370C22semidirect
72. #2370C22semidirect
73. #2369C22semidirect
74. #2368C22semidirect
75. #2367C22semidirect
76. #2367C22semidirect
78. #2365C22semidirect
79. #2364C22semidirect
80. #2364C22semidirect
85. #2363C22semidirect
91. #2361C22semidirect
92. #2359C22semidirect
93. #2359C22semidirect
94. #2359C22semidirect
95. #2359C22semidirect
101. #2357C22semidirect
102. #2356C22semidirect
103. #2356C22semidirect
104. #2356C22semidirect
105. #2355C22semidirect
107. #2354C22semidirect
111. #2353C22semidirect
112. #2353C22semidirect
114. #2352C22semidirect
115. #2352C22semidirect
116. #2352C22semidirect
117. #2352C22semidirect
118. #2352C22semidirect
119. #2352C22semidirect
124. #2347C22semidirect
125. #2347C22semidirect
128. #2346C22semidirect
129. #2346C22semidirect
131. #2345C22semidirect
132. #2345C22semidirect
135. #2344C22semidirect
136. #2344C22semidirect
137. #2343C22semidirect
138. #2343C22semidirect
142. #2339C22semidirect
143. #2339C22semidirect
149. #2337C22semidirect
150. #2337C22semidirect
151. #2337C22semidirect
152. #2337C22semidirect
153. #2335C22semidirect
154. #2335C22semidirect
155. #2335C22semidirect
156. #2335C22semidirect
157. #2334C22semidirect
158. #2334C22semidirect
159. #2334C22semidirect
167. #2333C22semidirect
168. #2333C22semidirect
173. #2332C22semidirect
174. #2331C22semidirect
175. #2331C22semidirect
176. #2331C22semidirect
177. #2329C22semidirect
180. #2328C22semidirect
181. #2326C22semidirect
182. #2325C22semidirect
183. #2325C22semidirect
190. #2324C22semidirect
191. #2322C22semidirect
196. #2320C22semidirect
197. #2320C22semidirect
198. #2320C22semidirect
203. #2318C22semidirect
204. #2318C22semidirect
205. #2317C22semidirect
206. #2316C22semidirect
207. #2314C22semidirect
210. #2311C22semidirect
211. C4×#125C22semidirect
212. C4×#125C22semidirect
213. C4×#126C22semidirect
214. C4×#124C22semidirect
215. C4×#123C22semidirect
216. C4×#123C22semidirect
217. C4×#123C22semidirect
222. C4×#121C22semidirect
223. #2298C22semidirect
226. #2297C22semidirect
227. #2296C22semidirect
228. #2295C22semidirect
232. #2293C22semidirect
233. C2×#389C22semidirect
237. #2290C22semidirect
238. #2290C22semidirect
239. #2290C22semidirect
240. #2290C22semidirect
247. #2276C22semidirect
249. #2275C22semidirect
250. #2274C22semidirect
251. #2274C22semidirect
254. C42×D4C22semidirect
255. C42×D4C22semidirect
257. C4×#117C22semidirect
258. C2×C4×C4⋊C4C22semidirect
265. #559C2×C4semidirect
266. #556C2×C4semidirect
267. #555C2×C4semidirect
268. #555C2×C4semidirect
269. #553C2×C4semidirect
270. #553C2×C4semidirect
271. #550C2×C4semidirect
272. #547C2×C4semidirect
273. #547C2×C4semidirect
274. #538C2×C4semidirect
275. #535C2×C4semidirect
276. #533C2×C4semidirect
277. #532C2×C4semidirect
290. #525C2×C4semidirect
291. #525C2×C4semidirect
313. #520C2×C4semidirect
318. C2×C4×D4C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#35062
#345102
#345052
#344832
#344772
#344672
#344602
#344542
#344512
#344152
#344112
#344032
#343962
#343692
#343612
#343292
#343232
#343192
#343062
#342982
#342532
#342522
#342312
#342282
#341902
C4×#5532
#341262
#340862
#340822