Finite Group Databasebeta

← #7689669

Subgroups — #7689669

Order 512.

7892 conjugacy classes of subgroups.

The subgroup lattice has 2016 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic, complemented
2C2×#3483C211yesmaximal, characteristic, complemented
3#59412C211yesmaximal, characteristic, complemented
4#59315C212yesmaximal, complemented
5#59122C214yesmaximal, complemented
6#59117C212yesmaximal, complemented
7#59041C211yesmaximal, characteristic, complemented
8#59039C211yesmaximal, characteristic, complemented
9#59035C212yesmaximal, complemented
10#59026C212yesmaximal, complemented
11#44932C212yesmaximal, complemented
12#44895C212yesmaximal, complemented
13#43543C214yesmaximal, complemented
14#43504C214yesmaximal, complemented
15#39957C212yesmaximal, complemented
16#39861C212yesmaximal, complemented
17#39617C211yesmaximal, characteristic, complemented
18#39125C211yesmaximal, characteristic, complemented
19#37820C214yesmaximal, complemented
20#37764C212yesmaximal, complemented
21#36492C211yesmaximal, characteristic, complemented
22#36436C212yesmaximal, complemented
23#36411C211yesmaximal, characteristic, complemented
24#36216C212yesmaximal, complemented
25#36187C211yesmaximal, characteristic, complemented
26#36160C211yesmaximal, characteristic, complemented
27#36127C211yesmaximal, characteristic, complemented
28#36123C212yesmaximal, complemented
29#36062C212yesmaximal, complemented
30#36022C212yesmaximal, complemented
31#34742C212yesmaximal, complemented
32#34727C211yesmaximal, characteristic, complemented
33#34330C211yesmaximal, characteristic, complemented
34#34292C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3519—216no—
37#3483—216no—
38C2×Q82C2211yescharacteristic, complemented
39C2×#555C2211yescharacteristic
40C2×#555C2214yescomplemented
41C2×#555C2211yescharacteristic, complemented
42C2×#555C2212yescomplemented
43C2×#555C2212yescomplemented
44C2×#554C2211yescharacteristic
45C2×#553C2212yes—
46C2×#553C2212yes—
47C2×#550C2211yescharacteristic
48C2×#550C2211yescharacteristic, complemented
49C2×#550C2212yescomplemented
50C2×#550C2212yescomplemented
51C2×#547C2212yescomplemented
52C2×#546C2212yes—
53C2×#546C2212yes—
54C2×#546C2214yes—
55C2×#546C2211yescharacteristic
56C2×#546C2214yescomplemented
57C2×D42C2211yescharacteristic
58C2×D42C2212yes—
59C2×#540C2212yes—
60C2×#538C2214yes—
61C2×#532C2211yescharacteristic
62C2×#532C2212yescomplemented
63C2×#532C2211yescharacteristic, complemented
64C2×#532C2212yescomplemented
65C2×#532C2214yescomplemented
66C2×#529C2211yescharacteristic
67C2×#525C2212yes—
68C22×#121C2212yes—
69C2×#518C2212yes—
70C2×C4×#41C2211yescharacteristic, complemented
71C2×C4×#41C2212yescomplemented
72C2×C4×#41C2212yescomplemented
73C2×C4×#41C2211yescharacteristic, complemented
74C22×C4×D4C2211yescharacteristic
75#2868C2211yescharacteristic, complemented
76#2857C2211yescharacteristic, complemented
77#2857C2211yescharacteristic, complemented
78#2856C2212yescomplemented
79#2854C2212yescomplemented
80#2853C2214yescomplemented
81#2851C2212yescomplemented
82#2847C2212yescomplemented
83#2717C2214yescomplemented
84#2716C2214yescomplemented
85#2709C2214yescomplemented
86#2708C2214yescomplemented
87#2701C2214yescomplemented
88#2699C2214yescomplemented
89#2686C2214yescomplemented
90#2686C2214yescomplemented
91#2684C2214yescomplemented
92#2678C2214yescomplemented
93#2677C2214yescomplemented
94#2677C2214yescomplemented
95#2674C2214yescomplemented
96#2673C2214yescomplemented
97#2671C2214yescomplemented
98#2671C2214yescomplemented
99#2671C2214yescomplemented
100#2669C2214yescomplemented
101#2669C2214yescomplemented
102#2668C2214yescomplemented
103#2668C2214yescomplemented
104#2661C2214yescomplemented
105#2660C2212yescomplemented
106#2635C2214yescomplemented
107#2628C2212yescomplemented
108#2602C2214yescomplemented
109#2600C2214yescomplemented
110#2567C2211yescharacteristic, complemented
111#2565C2212yescomplemented
112#2563C2211yescharacteristic
113#2563C2211yescharacteristic, complemented
114#2563C2211yescharacteristic, complemented
115#2562C2212yescomplemented
116#2555C2214yescomplemented
117#2555C2214yescomplemented
118#2550C2212yescomplemented
119#2547C2212yescomplemented
120#2547C2212yescomplemented
121#2543C2214yescomplemented
122#2543C2214yescomplemented
123#2542C2212yes—
124#2539C2214yescomplemented
125#2538C2211yescharacteristic, complemented
126#2537C2211yescharacteristic
127#2537C2212yescomplemented
128#2537C2212yescomplemented
129#2537C2212yescomplemented
130#2537C2212yescomplemented
131#2537C2212yescomplemented
132#2536C2212yescomplemented
133#2535C2212yes—
134#2535C2212yescomplemented
135#2535C2212yescomplemented
136#2535C2212yescomplemented
137#2521C2214yescomplemented
138#2521C2214yescomplemented
139#2500C2212yescomplemented
140#2500C2212yescomplemented
141#2498C2214yescomplemented
142#2491C2212yes—
143#2491C2214yescomplemented
144#2491C2214yescomplemented
145#2485C2212yescomplemented
146#2485C2212yescomplemented
147#2482C2214yescomplemented
148#2479C2212yescomplemented
149#2478C2214yescomplemented
150#2477C2214yescomplemented
151#2476C2214yescomplemented
152#2474C2214yescomplemented
153#2472C2214yescomplemented
154#2472C2214yescomplemented
155#2472C2214yescomplemented
156#2471C2212yescomplemented
157#2468C2214yescomplemented
158#2467C2212yescomplemented
159#2464C2214yescomplemented
160#2463C2214yescomplemented
161#2461C2214yescomplemented
162#2461C2214yescomplemented
163#2461C2214yescomplemented
164#2459C2214yescomplemented
165#2456C2212yescomplemented
166#2454C2211yescharacteristic, complemented
167#2448C2212yescomplemented
168#2448C2211yescharacteristic, complemented
169#2445C2212yescomplemented
170#2444C2214yescomplemented
171#2443C2214yescomplemented
172#2441C2211yescharacteristic, complemented
173#2440C2212yescomplemented
174#2440C2212yescomplemented
175#2435C2214yescomplemented
176#2433C2212yescomplemented
177#2432C2212yescomplemented
178#2432C2212yescomplemented
179#2431C2211yescharacteristic, complemented
180#2430C2214yescomplemented
181#2430C2214yescomplemented
182#2428C2211yescharacteristic
183#2428C2212yescomplemented
184#2428C2212yescomplemented
185#2427C2214yescomplemented
186#2425C2214yescomplemented
187#2424C2214yescomplemented
188#2423C2212yescomplemented
189#2423C2212yescomplemented
190#2423C2211yescharacteristic, complemented
191#2422C2212yescomplemented
192#2422C2212yescomplemented
193#2422C2212yescomplemented
194#2422C2212yescomplemented
195#2422C2212yescomplemented
196#2422C2212yescomplemented
197#2422C2212yescomplemented
198#2421C2212yescomplemented
199#2421C2212yescomplemented
200#2420C2212yescomplemented
201#2420C2212yescomplemented
202#2420C2212yescomplemented
203#2420C2212yescomplemented
204#2419C2214yescomplemented
205#2419C2214yescomplemented
206#2418C2214yescomplemented
207#2418C2214yescomplemented
208#2418C2214yescomplemented
209#2418C2214yescomplemented
210#2414C2211yescharacteristic
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2410C2214yescomplemented
214#2410C2214yescomplemented
215#2408C2212yes—
216#2408C2212yes—
217#2408C2212yes—
218#2408C2212yescomplemented
219#2407C2212yescomplemented
220#2407C2212yescomplemented
221#2407C2212yescomplemented
222#2407C2212yescomplemented
223#2407C2214yescomplemented
224#2407C2211yescharacteristic, complemented
225#2406C2214yescomplemented
226#2404C2214yescomplemented
227#2397C2212yescomplemented
228#2395C2214yescomplemented
229#2395C2214yescomplemented
230#2392C2212yescomplemented
231#2367C2211yescharacteristic
232#2366C2212yescomplemented
233#2366C2211yescharacteristic, complemented
234#2364C2214yescomplemented
235#2364C2212yescomplemented
236#2363C2212yes—
237#2363C2211yescharacteristic
238#2363C2212yescomplemented
239#2362C2212yescomplemented
240#2361C2212yescomplemented
241#2361C2214yescomplemented
242#2360C2211yescharacteristic, complemented
243#2359C2214yescomplemented
244#2359C2212yescomplemented
245#2358C2214yescomplemented
246#2358C2212yescomplemented
247#2357C2212yescomplemented
248#2355C2211yescharacteristic, complemented
249#2354C2211yescharacteristic, complemented
250#2354C2212yescomplemented
251#2354C2212yescomplemented
252#2354C2212yescomplemented
253#2352C2212yescomplemented
254#2352C2211yescharacteristic, complemented
255#2352C2212yescomplemented
256#2349C2211yescharacteristic, complemented
257#2349C2212yescomplemented
258D4×C4⋊C4C2212yescomplemented
259D4×C4⋊C4C2212yescomplemented
260#2342C2212yescomplemented
261#2342C2214yescomplemented
262#2339C2212yescomplemented
263#2339C2211yescharacteristic, complemented
264#2339C2212yescomplemented
265D4×C22⋊C4C2211yescharacteristic
266D4×C22⋊C4C2212yes—
267D4×C22⋊C4C2212yescomplemented
268D4×C22⋊C4C2212yescomplemented
269#2333C2214yescomplemented
270#2328C2212yescomplemented
271#2326C2212yes—
272#2325C2214yescomplemented
273#2323C2212yescomplemented
274#2321C2214yescomplemented
275C4×#127C2211yescharacteristic, complemented
276C4×#127C2211yescharacteristic, complemented
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic, complemented
279C4×#123C2214yescomplemented
280C4×#123C2212yescomplemented
281C4×#123C2214yescomplemented
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286C4×#121C2211yescharacteristic, complemented
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2212yescomplemented
289C4×#120C2212yescomplemented
290#2297C2212yescomplemented
291#2296C2212yescomplemented
292#2295C2211yescharacteristic, complemented
293#2290C2212yescomplemented
294C2×#388C2214yescomplemented
295#2285C2212yescomplemented
296#2280C2212yescomplemented
297#2275C2212yescomplemented
298C42×D4C2211yescharacteristic, complemented
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2314yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C23×D4C2311yescharacteristic
309C23×D4C2312yes—
310C23×D4C2312yes—
311C23×D4C2314yes—
312C24×C4C2312yes—
313Q82—28no—
314#555—216no—
315#555—232no—
316#555—28no—
317#555—28no—
318#555—216no—
319#554—28no—
320#553—216no—
321#553—216no—
322#550—216no—
323#550—28no—
324#550—216no—
325#550D4116yescomplemented
326#547—48no—
327#546—216no—
328#546—216no—
329#546—28no—
330#546—232no—
331#546—416no—
332D42—28no—
333D42—216no—
334#540—216no—
335#538—232no—
336#532—28no—
337#532—28no—
338#532—216no—
339#532—216no—
340#532—232no—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×#127C2314yes—
349C2×#127C2312yes—
350C2×#127C2311yescharacteristic
351C2×#127C2311yescharacteristic
352C2×#127C2312yes—
353#529—28no—
354C2×#126C2312yes—
355C2×#126C2314yes—
356C2×#125C2312yes—
357C2×#125C2311yescharacteristic
358C2×#124C2311yescharacteristic
359C2×#124C2312yes—
360C2×#124C2314yes—
361C2×#124C2312yes—
362C2×#124C2314yes—
363C2×#124C2314yes—
364C2×#124C2314yes—
365C2×#124C2314yes—
366C2×#124C2314yes—
367C2×#124C2311yescharacteristic
368#525—216no—
369C2×#123C2314yes—
370C2×#123C2312yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2311yescharacteristic
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×#121—216no—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2311yescharacteristic
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2311yescharacteristic
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2311yescharacteristic
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2311yescharacteristic
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#120C2314yes—
425C2×#120C2312yes—
426C2×#120C2314yes—
427C2×#120C2314yes—
428C2×#120C2314yes—
429C2×#120C2314yes—
430C2×#120C2314yes—
431C2×#120C2314yes—
432#518—216no—
433C4×#41—216no—
434C4×#41—28no—
435C4×#41—28no—
436C4×#41—216no—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×D4—28no—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2314yes—
451C2×C4×D4C2314yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2314yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2314yes—
493C2×#117C2311yescharacteristic
494C2×#117C2312yes—
495C2×#117C2311yescharacteristic
496C2×#117C2312yes—
497C2×#117C2314yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2314yes—
505C22×C22⋊C4C2314yes—
506C22×C22⋊C4C2312yes—
507C22×C22⋊C4C2314yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2314yes—
510C22×C22⋊C4C2312yes—
511C22×C22⋊C4C2314yes—
512C22×C42C2312yes—
513C22×C42C2314yes—
514C22×C42C2312yes—
515C22×C42C2311yescharacteristic
516C22×C42C2311yescharacteristic
517C22×C42C2312yes—
518#400C2314yes—
519#400C2314yes—
520#399C2314yes—
521#399C2314yes—
522#399C2312yes—
523#399C2314yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#398C2314yes—
528#398C2314yes—
529#398C2312yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2312yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#396C2312yes—
546#396C2312yes—
547#396C2314yes—
548#395C2314yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2312yes—
558#394C2314yes—
559#394C2314yes—
560#394C2312yes—
561#394C2312yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#393C2314yes—
579#393C2314yes—
580#393C2314yes—
581#393C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2312yes—
588#392C2312yes—
589#392C2312yes—
590#392C2312yes—
591#392C2312yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#391C2311yescharacteristic
597#391C2312yes—
598#391C2311yescharacteristic
599#391C2311yescharacteristic
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2314yes—
604#391C2311yescharacteristic
605#390C2312yes—
606#390C2311yescharacteristic
607#390C2312yes—
608#390C2311yescharacteristic
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2312yes—
619#390C2314yes—
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#390C2311yescharacteristic
623#390C2312yes—
624#390C2314yes—
625#390C2314yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2311yescharacteristic
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2314yes—
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2312yes—
645#389C2311yescharacteristic
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2314yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2312yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2314yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2314yes—
724#386C2312yes—
725#386C2312yes—
726#386C2314yes—
727#386C2312yes—
728#386C2314yes—
729#386C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2312yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2312yes—
744#385C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2314yes—
750#385C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#384C2312yes—
757#384C2312yes—
758#384C2312yes—
759#384C2312yes—
760#384C2312yes—
761#382C2312yes—
762#382C2312yes—
763#382C2312yes—
764#382C2312yes—
765#382C2311yescharacteristic
766#381C2314yes—
767#381C2314yes—
768#381C2312yes—
769#381C2314yes—
770#381C2314yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2312yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2314yes—
789#380C2314yes—
790#380C2312yes—
791#380C2312yes—
792#380C2311yescharacteristic
793#380C2311yescharacteristic
794#380C2314yes—
795#380C2314yes—
796#379C2314yes—
797#379C2312yes—
798#379C2314yes—
799#379C2314yes—
800#379C2314yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2314yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843#376C2312yes—
844C2×#95C2314yes—
845C2×#95C2314yes—
846C2×#95C2312yes—
847C2×#95C2312yes—
848C43C2311yescharacteristic
849C25C2412yes—
850C25C2414yes—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—216no—
858C2×#41—28no—
859C2×#41—48no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—42no—
865C2×#41—44no—
866C2×#41—42no—
867C2×#41—42no—
868C2×#41—84no—
869C2×#41—82no—
870C2×#41—82no—
871C2×#41C2×D4116yes—
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2414yes—
876C22×Q8C2412yes—
877C22×D4—24no—
878C22×D4—28no—
879C22×D4—24no—
880C22×D4—28no—
881C22×D4—28no—
882C22×D4—216no—
883C22×D4—42no—
884C22×D4—44no—
885C22×D4—44no—
886C22×D4—44no—
887C22×D4—48no—
888C22×D4—84no—
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2411yescharacteristic
900C22×D4C2412yes—
901C22×D4C2411yescharacteristic
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2412yes—
914C22×D4C2414yes—
915C22×D4C2412yes—
916C22×D4C2414yes—
917C23×C4—28no—
918C23×C4—44no—
919C23×C4—44no—
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2414yes—
929C23×C4C2414yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2411yescharacteristic
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2414yes—
937C23×C4C2414yes—
938C23×C4C2414yes—
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2412yes—
943C23×C4C2412yes—
944C23×C4C2414yes—
945C23×C4C2414yes—
946C4⋊Q8—28no—
947C4⋊Q8—216no—
948C4⋊Q8—24no—
949C4⋊Q8—24no—
950C4⋊Q8—28no—
951C4⋊Q8—44no—
952C4⋊Q8—82no—
953#127—28no—
954#127—216no—
955#127—42no—
956#127C2×D418yes—
957#127C2×D4116yes—
958#126—28no—
959#126—216no—
960#125—24no—
961#125—28no—
962#124—24no—
963#124—28no—
964#124—28no—
965#124—216no—
966#124—216no—
967#124—216no—
968#124—216no—
969#124—216no—
970#124—48no—
971#124#4118yescomplemented
972#123—216no—
973#123—216no—
974#123—216no—
975#123—28no—
976#123—28no—
977#123—216no—
978#123—216no—
979#123—48no—
980#123—48no—
981#123—84no—
982C22⋊Q8—24no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—24no—
986C22⋊Q8—216no—
987C22⋊Q8—44no—
988C22⋊Q8—48no—
989C22⋊Q8—44no—
990C22⋊Q8—84no—
991#121—28no—
992#121—216no—
993#121—28no—
994#121—28no—
995#121—28no—
996#121—28no—
997#121—28no—
998#121—28no—
999#121—216no—
1000#121—216no—
1001#121—216no—
1002#121—216no—
1003#121—216no—
1004#121—28no—
1005#121—28no—
1006#121—216no—
1007#121—24no—
1008#121—28no—
1009#121—28no—
1010#121—28no—
1011#121—216no—
1012#121—24no—
1013#121—216no—
1014#121—216no—
1015#121—28no—
1016#121—28no—
1017#121—48no—
1018#121—48no—
1019#121—42no—
1020#121—44no—
1021#121—42no—
1022#121—48no—
1023#121—84no—
1024#121C2×D4116yes—
1025#121C2×D4132yes—
1026#120—216no—
1027#120—216no—
1028#120—216no—
1029#120—28no—
1030#120—216no—
1031#120—48no—
1032#120—48no—
1033#120—84no—
1034C4×Q8—24no—
1035C4×Q8—28no—
1036C4×Q8—24no—
1037C4×Q8—24no—
1038C4×Q8—28no—
1039C4×Q8C2×D418yes—
1040C4×D4—24no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—24no—
1044C4×D4—216no—
1045C4×D4—28no—
1046C4×D4—216no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—216no—
1052C4×D4—216no—
1053C4×D4—216no—
1054C4×D4—24no—
1055C4×D4—24no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—216no—
1059C4×D4—28no—
1060C4×D4—216no—
1061C4×D4—24no—
1062C4×D4—24no—
1063C4×D4—24no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—24no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—24no—
1072C4×D4—44no—
1073C4×D4—44no—
1074C4×D4—44no—
1075C4×D4—42no—
1076C4×D4—44no—
1077C4×D4—44no—
1078C4×D4—44no—
1079C4×D4—44no—
1080C4×D4—44no—
1081C4×D4—42no—
1082C4×D4—48no—
1083C4×D4—48no—
1084C4×D4C2×D418yes—
1085C4×D4C2×D4116yes—
1086#117—28no—
1087#117—216no—
1088#117—28no—
1089#117—24no—
1090#117—28no—
1091#117—28no—
1092#117—24no—
1093#117—28no—
1094#117—216no—
1095#117—28no—
1096#117—28no—
1097#117—44no—
1098C2×C4⋊C4—24no—
1099C2×C4⋊C4—28no—
1100C2×C4⋊C4—48no—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2412yes—
1151C2×C22⋊C4—216no—
1152C2×C22⋊C4—28no—
1153C2×C22⋊C4—216no—
1154C2×C22⋊C4—216no—
1155C2×C22⋊C4—28no—
1156C2×C22⋊C4—28no—
1157C2×C22⋊C4—48no—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2411yescharacteristic
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2411yescharacteristic
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2411yescharacteristic
1234C2×C42—28no—
1235C2×C42—216no—
1236C2×C42—24no—
1237C2×C42—24no—
1238C2×C42—28no—
1239C2×C42—44no—
1240C2×C42C2412yes—
1241C2×C42C2414yes—
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2414yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253C2×C42C2411yescharacteristic
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2414yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2412yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2414yes—
1261C2×C42C2414yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2412yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268#95C2412yes—
1269#95C2411yescharacteristic
1270#95C2412yes—
1271#95C2411yescharacteristic
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
1290#95C2411yescharacteristic
1291#95C2412yes—
1292#95C2412yes—
1293#95C2411yescharacteristic
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2412yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2414yes—
1316C24—24no—
1317C24—24no—
1318C24—24no—
1319C24—28no—
1320C24—28no—
1321C24—42no—
1322C24—42no—
1323C24—42no—
1324C24—44no—
1325C24—42no—
1326C24—44no—
1327C24—44no—
1328C24—44no—
1329C24—44no—
1330C24C2512yes—
1331C24C2511yescharacteristic
1332C24C2512yes—
1333C24C2514yes—
1334C24C2512yes—
1335C24C2512yes—
1336C24C2511yescharacteristic
1337#41—432no—
1338#41—416no—
1339#41—432no—
1340#41—416no—
1341#41—832no—
1342#41—816no—
1343#41—816no—
1344C2×Q8—22no—
1345C2×Q8—24no—
1346C2×Q8—24no—
1347C2×Q8—28no—
1348C2×Q8—22no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—44no—
1352C2×Q8—42no—
1353C2×Q8—42no—
1354C2×Q8—44no—
1355C2×Q8—42no—
1356C2×Q8—42no—
1357C2×Q8C22×D414yes—
1358C2×Q8C2×#4114yes—
1359C2×D4—24no—
1360C2×D4—28no—
1361C2×D4—28no—
1362C2×D4—24no—
1363C2×D4—28no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—28no—
1369C2×D4—28no—
1370C2×D4—28no—
1371C2×D4—28no—
1372C2×D4—28no—
1373C2×D4—28no—
1374C2×D4—28no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—24no—
1384C2×D4—22no—
1385C2×D4—24no—
1386C2×D4—28no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—22no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—44no—
1399C2×D4—41no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—44no—
1403C2×D4—42no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—42no—
1409C2×D4—44no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—44no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—42no—
1426C2×D4—44no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—416no—
1437C2×D4—432no—
1438C2×D4—816no—
1439C2×D4—832no—
1440C2×D4C22×D418yes—
1441C2×D4C22×D414yes—
1442C2×D4C22×D418yes—
1443C2×D4C22×D4116yes—
1444C2×D4C22×D418yes—
1445C2×D4C22×D4116yes—
1446C2×D4C2×#4114yes—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—28no—
1450C22×C4—24no—
1451C22×C4—28no—
1452C22×C4—24no—
1453C22×C4—22no—
1454C22×C4—28no—
1455C22×C4—24no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—24no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—24no—
1464C22×C4—22no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—28no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—28no—
1475C22×C4—22no—
1476C22×C4—24no—
1477C22×C4—22no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—24no—
1485C22×C4—22no—
1486C22×C4—24no—
1487C22×C4—24no—
1488C22×C4—24no—
1489C22×C4—28no—
1490C22×C4—24no—
1491C22×C4—28no—
1492C22×C4—24no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—44no—
1498C22×C4—42no—
1499C22×C4—41no—
1500C22×C4—41no—
1501C22×C4—42no—
1502C22×C4—44no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—42no—
1510C22×C4—44no—
1511C22×C4—42no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—42no—
1515C22×C4—42no—
1516C22×C4—42no—
1517C22×C4—42no—
1518C22×C4—42no—
1519C22×C4—42no—
1520C22×C4—44no—
1521C22×C4—44no—
1522C22×C4—44no—
1523C22×C4—816no—
1524C22×C4C22×D418yes—
1525C22×C4C22×D4116yes—
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2511yescharacteristic
1529C22×C4C2512yes—
1530C22×C4C2512yes—
1531C22×C4C2512yes—
1532C22×C4C2514yes—
1533C22×C4C2511yescharacteristic
1534C22×C4C2512yes—
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C22×C4C2512yes—
1539C22×C4C2511yescharacteristic
1540C22×C4C2512yes—
1541C22×C4C2514yes—
1542C22×C4C2514yes—
1543C22×C4C2512yes—
1544C22×C4C2512yes—
1545C22×C4C2511yescharacteristic
1546C22×C4C2512yes—
1547C22×C4C2511yescharacteristic
1548C22×C4C2512yes—
1549C22×C4C2511yescharacteristic
1550C22×C4C2511yescharacteristic
1551C22×C4C2511yescharacteristic
1552C22×C4C2511yescharacteristic
1553C22×C4C2511yescharacteristic
1554C4⋊C4—24no—
1555C4⋊C4—22no—
1556C4⋊C4—24no—
1557C4⋊C4—28no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—22no—
1561C4⋊C4—22no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—28no—
1567C4⋊C4—28no—
1568C4⋊C4—24no—
1569C4⋊C4—22no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—28no—
1573C4⋊C4—22no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—22no—
1577C4⋊C4—24no—
1578C4⋊C4—28no—
1579C4⋊C4—22no—
1580C4⋊C4—28no—
1581C4⋊C4—24no—
1582C4⋊C4—28no—
1583C4⋊C4—22no—
1584C4⋊C4—24no—
1585C4⋊C4—22no—
1586C4⋊C4—22no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—42no—
1590C4⋊C4—41no—
1591C4⋊C4—42no—
1592C4⋊C4—42no—
1593C4⋊C4—42no—
1594C4⋊C4—42no—
1595C4⋊C4—44no—
1596C4⋊C4—44no—
1597C4⋊C4—42no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—42no—
1601C4⋊C4C22×D414yes—
1602C4⋊C4C22×D414yes—
1603C4⋊C4C22×D418yes—
1604C22⋊C4—24no—
1605C22⋊C4—28no—
1606C22⋊C4—28no—
1607C22⋊C4—28no—
1608C22⋊C4—28no—
1609C22⋊C4—28no—
1610C22⋊C4—24no—
1611C22⋊C4—28no—
1612C22⋊C4—28no—
1613C22⋊C4—28no—
1614C22⋊C4—28no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—28no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—28no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—28no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—22no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—28no—
1636C22⋊C4—28no—
1637C22⋊C4—24no—
1638C22⋊C4—22no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—22no—
1644C22⋊C4—28no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—42no—
1650C22⋊C4—42no—
1651C22⋊C4—44no—
1652C22⋊C4—42no—
1653C22⋊C4—41no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—41no—
1657C22⋊C4—44no—
1658C22⋊C4—42no—
1659C22⋊C4—42no—
1660C22⋊C4—42no—
1661C22⋊C4—42no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—42no—
1669C22⋊C4—44no—
1670C22⋊C4—42no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—42no—
1674C22⋊C4—42no—
1675C22⋊C4C22×D4116yes—
1676C22⋊C4C22×D418yes—
1677C22⋊C4C2×#4118yes—
1678C22⋊C4C2×#4118yes—
1679C22⋊C4H(5,𝔽2)14yes—
1680C42—24no—
1681C42—24no—
1682C42—22no—
1683C42—22no—
1684C42—22no—
1685C42—24no—
1686C42—24no—
1687C42—28no—
1688C42—22no—
1689C42—22no—
1690C42—28no—
1691C42—24no—
1692C42—22no—
1693C42—28no—
1694C42—22no—
1695C42—22no—
1696C42—24no—
1697C42—22no—
1698C42—22no—
1699C42—24no—
1700C42—42no—
1701C42—42no—
1702C42—44no—
1703C42—44no—
1704C42—41no—
1705C42C22×D414yes—
1706C42C22×D418yes—
1707C42C2×#4114yes—
1708C23—22no—
1709C23—21no—
1710C23—21no—
1711C23—22no—
1712C23—24no—
1713C23—22no—
1714C23—24no—
1715C23—22no—
1716C23—22no—
1717C23—21no—
1718C23—21no—
1719C23—22no—
1720C23—24no—
1721C23—24no—
1722C23—22no—
1723C23—24no—
1724C23—22no—
1725C23—21no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—24no—
1730C23—22no—
1731C23—21no—
1732C23—22no—
1733C23—21no—
1734C23—22no—
1735C23—22no—
1736C23—21no—
1737C23—22no—
1738C23—21no—
1739C23—22no—
1740C23—22no—
1741C23—21no—
1742C23—22no—
1743C23—21no—
1744C23—22no—
1745C23—22no—
1746C23—21no—
1747C23—22no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—22no—
1752C23—21no—
1753C23—48no—
1754C23—48no—
1755C23—48no—
1756C23—416no—
1757C23—84no—
1758C23—84no—
1759C23—84no—
1760C23—88no—
1761C23—88no—
1762C23—88no—
1763C23—88no—
1764C23—84no—
1765C23—164no—
1766C23—164no—
1767C23C23×D418yes—
1768C23C23×D414yes—
1769C23C22×#4114yes—
1770C23C2×H(5,𝔽2)12yes—
1771C23C2611yescharacteristic
1772Q8—28no—
1773Q8—28no—
1774Q8—84no—
1775Q8—84no—
1776Q8—88no—
1777D4—28no—
1778D4—28no—
1779D4—216no—
1780D4—216no—
1781D4—416no—
1782D4—416no—
1783D4—48no—
1784D4—44no—
1785D4—48no—
1786D4—48no—
1787D4—416no—
1788D4—48no—
1789D4—48no—
1790D4—416no—
1791D4—416no—
1792D4—44no—
1793D4—44no—
1794D4—84no—
1795D4—84no—
1796D4—84no—
1797D4—84no—
1798D4—88no—
1799D4—88no—
1800D4—88no—
1801D4—88no—
1802D4—88no—
1803D4—88no—
1804D4—84no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—216no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—24no—
1833C2×C4—24no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—24no—
1846C2×C4—21no—
1847C2×C4—24no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—24no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—22no—
1861C2×C4—21no—
1862C2×C4—22no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—22no—
1866C2×C4—21no—
1867C2×C4—22no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—21no—
1872C2×C4—24no—
1873C2×C4—24no—
1874C2×C4—22no—
1875C2×C4—416no—
1876C2×C4—44no—
1877C2×C4—48no—
1878C2×C4—48no—
1879C2×C4—416no—
1880C2×C4—416no—
1881C2×C4—48no—
1882C2×C4—44no—
1883C2×C4—48no—
1884C2×C4—44no—
1885C2×C4—48no—
1886C2×C4—44no—
1887C2×C4—48no—
1888C2×C4—44no—
1889C2×C4—48no—
1890C2×C4—44no—
1891C2×C4—84no—
1892C2×C4—84no—
1893C2×C4—88no—
1894C2×C4—84no—
1895C2×C4—84no—
1896C2×C4—88no—
1897C2×C4—84no—
1898C2×C4—88no—
1899C2×C4—164no—
1900C2×C4C23×D414yes—
1901C2×C4C23×D414yes—
1902C2×C4C23×D412yes—
1903C2×C4C23×D414yes—
1904C2×C4C23×D412yes—
1905C2×C4C23×D412yes—
1906C2×C4C22×#4112yes—
1907C2×C4C22×#4112yes—
1908C2×C4C22×#4114yes—
1909C2×C4C22×#4112yes—
1910C2×C4C2×H(5,𝔽2)12yes—
1911C2×C4C2×H(5,𝔽2)12yes—
1912C2×C4#58512yes—
1913C2×C4#58512yes—
1914C2×C4#58512yes—
1915C22—28no—
1916C22—22no—
1917C22—24no—
1918C22—24no—
1919C22—22no—
1920C22—24no—
1921C22—28no—
1922C22—22no—
1923C22—24no—
1924C22—24no—
1925C22—28no—
1926C22—24no—
1927C22—42no—
1928C22—42no—
1929C22—44no—
1930C22—41no—
1931C22—42no—
1932C22—44no—
1933C22—42no—
1934C22—41no—
1935C22—42no—
1936C22—44no—
1937C22—42no—
1938C22—42no—
1939C22—41no—
1940C22—42no—
1941C22—44no—
1942C22—41no—
1943C22—41no—
1944C22—42no—
1945C22—42no—
1946C22—41no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—41no—
1952C22—42no—
1953C22—41no—
1954C22—42no—
1955C22—41no—
1956C22—42no—
1957C22—42no—
1958C22—41no—
1959C22—42no—
1960C22—42no—
1961C22—41no—
1962C22—42no—
1963C22—42no—
1964C22—816no—
1965C22—1616no—
1966C22C24×D411yescharacteristic
1967C22C23×#4111yescharacteristic
1968C22C22×H(5,𝔽2)11yescharacteristic
1969C22C2×#58511yescharacteristic
1970C22C2×#58511yescharacteristic
1971C22C2×#58511yescharacteristic
1972C22H(7,𝔽2)11yescharacteristic
1973C4—22no—
1974C4—22no—
1975C4—24no—
1976C4—22no—
1977C4—22no—
1978C4—24no—
1979C4—24no—
1980C4—22no—
1981C4—24no—
1982C4—41no—
1983C4—42no—
1984C4—44no—
1985C4—44no—
1986C4—42no—
1987C4—42no—
1988C4—42no—
1989C4—41no—
1990C4—41no—
1991C4—42no—
1992C4—44no—
1993C4—41no—
1994C4—42no—
1995C4—42no—
1996C4—41no—
1997C4—41no—
1998C4—42no—
1999C4D4×#4114yes—
2000C4#348514yes—
2001C2—44no—
2002C2—42no—
2003C2—44no—
2004C2—48no—
2005C2—81no—
2006C2—82no—
2007C2—82no—
2008C2C2×D4×#4111yescharacteristic
2009C2C2×#348511yescharacteristic
2010C2#6280011yescharacteristic
2011C2#6293711yescharacteristic
2012C2D4×H(5,𝔽2)11yescharacteristic
2013C2#6299411yescharacteristic
2014C2#6302411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3519C2semidirect
2. C2×#3483C2semidirect
3. #59412C2semidirect
4. #59315C2semidirect
5. #59122C2semidirect
6. #59117C2semidirect
7. #59041C2semidirect
8. #59039C2semidirect
9. #59035C2semidirect
10. #59026C2semidirect
11. #44932C2semidirect
12. #44895C2semidirect
13. #43543C2semidirect
14. #43504C2semidirect
15. #39957C2semidirect
16. #39861C2semidirect
17. #39617C2semidirect
18. #39125C2semidirect
19. #37820C2semidirect
20. #37764C2semidirect
21. #36492C2semidirect
22. #36436C2semidirect
23. #36411C2semidirect
24. #36216C2semidirect
25. #36187C2semidirect
26. #36160C2semidirect
27. #36127C2semidirect
28. #36123C2semidirect
29. #36062C2semidirect
30. #36022C2semidirect
31. #34742C2semidirect
32. #34727C2semidirect
33. #34330C2semidirect
34. #34292C2semidirect
35. C4×#546C2semidirect
38. C2×Q82C22semidirect
40. C2×#555C22semidirect
41. C2×#555C22semidirect
42. C2×#555C22semidirect
43. C2×#555C22semidirect
48. C2×#550C22semidirect
49. C2×#550C22semidirect
50. C2×#550C22semidirect
51. C2×#547C22semidirect
56. C2×#546C22semidirect
62. C2×#532C22semidirect
63. C2×#532C22semidirect
64. C2×#532C22semidirect
65. C2×#532C22semidirect
70. C2×C4×#41C22semidirect
71. C2×C4×#41C22semidirect
72. C2×C4×#41C22semidirect
73. C2×C4×#41C22semidirect
75. #2868C22semidirect
76. #2857C22semidirect
77. #2857C22semidirect
78. #2856C22semidirect
79. #2854C22semidirect
80. #2853C22semidirect
81. #2851C22semidirect
82. #2847C22semidirect
83. #2717C22semidirect
84. #2716C22semidirect
85. #2709C22semidirect
86. #2708C22semidirect
87. #2701C22semidirect
88. #2699C22semidirect
89. #2686C22semidirect
90. #2686C22semidirect
91. #2684C22semidirect
92. #2678C22semidirect
93. #2677C22semidirect
94. #2677C22semidirect
95. #2674C22semidirect
96. #2673C22semidirect
97. #2671C22semidirect
98. #2671C22semidirect
99. #2671C22semidirect
100. #2669C22semidirect
101. #2669C22semidirect
102. #2668C22semidirect
103. #2668C22semidirect
104. #2661C22semidirect
105. #2660C22semidirect
106. #2635C22semidirect
107. #2628C22semidirect
108. #2602C22semidirect
109. #2600C22semidirect
110. #2567C22semidirect
111. #2565C22semidirect
113. #2563C22semidirect
114. #2563C22semidirect
115. #2562C22semidirect
116. #2555C22semidirect
117. #2555C22semidirect
118. #2550C22semidirect
119. #2547C22semidirect
120. #2547C22semidirect
121. #2543C22semidirect
122. #2543C22semidirect
124. #2539C22semidirect
125. #2538C22semidirect
127. #2537C22semidirect
128. #2537C22semidirect
129. #2537C22semidirect
130. #2537C22semidirect
131. #2537C22semidirect
132. #2536C22semidirect
134. #2535C22semidirect
135. #2535C22semidirect
136. #2535C22semidirect
137. #2521C22semidirect
138. #2521C22semidirect
139. #2500C22semidirect
140. #2500C22semidirect
141. #2498C22semidirect
143. #2491C22semidirect
144. #2491C22semidirect
145. #2485C22semidirect
146. #2485C22semidirect
147. #2482C22semidirect
148. #2479C22semidirect
149. #2478C22semidirect
150. #2477C22semidirect
151. #2476C22semidirect
152. #2474C22semidirect
153. #2472C22semidirect
154. #2472C22semidirect
155. #2472C22semidirect
156. #2471C22semidirect
157. #2468C22semidirect
158. #2467C22semidirect
159. #2464C22semidirect
160. #2463C22semidirect
161. #2461C22semidirect
162. #2461C22semidirect
163. #2461C22semidirect
164. #2459C22semidirect
165. #2456C22semidirect
166. #2454C22semidirect
167. #2448C22semidirect
168. #2448C22semidirect
169. #2445C22semidirect
170. #2444C22semidirect
171. #2443C22semidirect
172. #2441C22semidirect
173. #2440C22semidirect
174. #2440C22semidirect
175. #2435C22semidirect
176. #2433C22semidirect
177. #2432C22semidirect
178. #2432C22semidirect
179. #2431C22semidirect
180. #2430C22semidirect
181. #2430C22semidirect
183. #2428C22semidirect
184. #2428C22semidirect
185. #2427C22semidirect
186. #2425C22semidirect
187. #2424C22semidirect
188. #2423C22semidirect
189. #2423C22semidirect
190. #2423C22semidirect
191. #2422C22semidirect
192. #2422C22semidirect
193. #2422C22semidirect
194. #2422C22semidirect
195. #2422C22semidirect
196. #2422C22semidirect
197. #2422C22semidirect
198. #2421C22semidirect
199. #2421C22semidirect
200. #2420C22semidirect
201. #2420C22semidirect
202. #2420C22semidirect
203. #2420C22semidirect
204. #2419C22semidirect
205. #2419C22semidirect
206. #2418C22semidirect
207. #2418C22semidirect
208. #2418C22semidirect
209. #2418C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
218. #2408C22semidirect
219. #2407C22semidirect
220. #2407C22semidirect
221. #2407C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2406C22semidirect
226. #2404C22semidirect
227. #2397C22semidirect
228. #2395C22semidirect
229. #2395C22semidirect
230. #2392C22semidirect
232. #2366C22semidirect
233. #2366C22semidirect
234. #2364C22semidirect
235. #2364C22semidirect
238. #2363C22semidirect
239. #2362C22semidirect
240. #2361C22semidirect
241. #2361C22semidirect
242. #2360C22semidirect
243. #2359C22semidirect
244. #2359C22semidirect
245. #2358C22semidirect
246. #2358C22semidirect
247. #2357C22semidirect
248. #2355C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
251. #2354C22semidirect
252. #2354C22semidirect
253. #2352C22semidirect
254. #2352C22semidirect
255. #2352C22semidirect
256. #2349C22semidirect
257. #2349C22semidirect
258. D4×C4⋊C4C22semidirect
259. D4×C4⋊C4C22semidirect
260. #2342C22semidirect
261. #2342C22semidirect
262. #2339C22semidirect
263. #2339C22semidirect
264. #2339C22semidirect
267. D4×C22⋊C4C22semidirect
268. D4×C22⋊C4C22semidirect
269. #2333C22semidirect
270. #2328C22semidirect
272. #2325C22semidirect
273. #2323C22semidirect
274. #2321C22semidirect
275. C4×#127C22semidirect
276. C4×#127C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×#123C22semidirect
280. C4×#123C22semidirect
281. C4×#123C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#120C22semidirect
290. #2297C22semidirect
291. #2296C22semidirect
292. #2295C22semidirect
293. #2290C22semidirect
294. C2×#388C22semidirect
295. #2285C22semidirect
296. #2280C22semidirect
297. #2275C22semidirect
298. C42×D4C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
325. #550D4semidirect
971. #124#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C2×#34832
#594122
#593152
#591222
#591172
#590412
#590392
#590352
#590262
#449322
#448952
#435432
#435042
#399572
#398612
#396172
#391252
#378202
#377642
#364922
#364362
#364112
#362162
#361872
#361602
#361272
#361232
#360622
#360222
#347422
#347272
#343302
#342922
C4×#5462