Finite Group Databasebeta

← #7674965

Subgroups — #7674965

Order 512.

7599 conjugacy classes of subgroups.

The subgroup lattice has 2015 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic, complemented
2C22×#553C211yesmaximal, characteristic, complemented
3#59812C212yesmaximal, complemented
4#59770C212yesmaximal, complemented
5#59315C212yesmaximal, complemented
6#59213C212yesmaximal, complemented
7#59121C212yesmaximal, complemented
8#59117C212yesmaximal, complemented
9#59028C212yesmaximal, complemented
10#59020C212yesmaximal, complemented
11#44456C214yesmaximal, complemented
12#43546C214yesmaximal, complemented
13#43542C214yesmaximal, complemented
14#43503C214yesmaximal, complemented
15#39466C212yesmaximal, complemented
16#39466C211yesmaximal, characteristic, complemented
17#39338C212yesmaximal, complemented
18#39338C211yesmaximal, characteristic, complemented
19#39134C211yesmaximal, characteristic, complemented
20#39122C211yesmaximal, characteristic, complemented
21#38038C212yesmaximal, complemented
22#38022C212yesmaximal, complemented
23#36581C211yesmaximal, characteristic, complemented
24#36546C211yesmaximal, characteristic, complemented
25#36237C211yesmaximal, characteristic, complemented
26#36236C211yesmaximal, characteristic, complemented
27#35467C212yesmaximal, complemented
28#35452C212yesmaximal, complemented
29#35091C212yesmaximal, complemented
30#35031C211yesmaximal, characteristic, complemented
31#34810C211yesmaximal, characteristic, complemented
32#34809C211yesmaximal, characteristic, complemented
33#34264C212yesmaximal, complemented
34#34246C211yesmaximal, characteristic, complemented
35C4×#534C211yesmaximal, characteristic, complemented
36#3519—216no—
37C2×#555C2211yescharacteristic, complemented
38C2×#554C2211yescharacteristic
39C2×#553—216no—
40C2×#553C2211yescharacteristic
41C2×#553C2212yes—
42C2×#553C2212yescomplemented
43C2×#553C2214yescomplemented
44C2×#553C2211yescharacteristic, complemented
45C2×#553C2212yescomplemented
46C2×#553C2212yescomplemented
47C2×#553C2212yescomplemented
48C2×#553C2214yescomplemented
49C2×#550C2211yescharacteristic, complemented
50C2×#546C2211yescharacteristic
51C2×#546C2212yes—
52C2×#546C2212yescomplemented
53C2×#546C2211yescharacteristic, complemented
54C2×D42C2212yes—
55C2×D42C2211yescharacteristic
56C2×#540C2212yescomplemented
57C2×#538C2212yes—
58C2×#538C2212yescomplemented
59C2×#534C2211yescharacteristic
60C2×#534C2212yes—
61C2×#532C2211yescharacteristic, complemented
62C2×#529C2211yescharacteristic, complemented
63C22×#126C2212yescomplemented
64C22×#125C2211yescharacteristic, complemented
65C2×#525C2211yescharacteristic
66C2×#525C2211yescharacteristic, complemented
67C22×#123C2212yescomplemented
68C22×#121C2211yescharacteristic
69C22×#121C2212yescomplemented
70C22×#121C2211yescharacteristic, complemented
71C22×#121C2211yescharacteristic, complemented
72C2×#518C2212yes—
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2212yescomplemented
75C22×C4×D4C2211yescharacteristic, complemented
76C22×C4×D4C2211yescharacteristic, complemented
77C22×#117C2211yescharacteristic, complemented
78C23×C4⋊C4C2211yescharacteristic, complemented
79#2855C2211yescharacteristic, complemented
80#2854C2211yescharacteristic, complemented
81#2849C2212yescomplemented
82#2849C2212yescomplemented
83#2848C2212yescomplemented
84#2848C2211yescharacteristic, complemented
85#2847C2212yescomplemented
86#2847C2211yescharacteristic, complemented
87#2724C2214yescomplemented
88#2721C2214yescomplemented
89#2719C2214yescomplemented
90#2717C2214yescomplemented
91#2709C2214yescomplemented
92#2708C2214yescomplemented
93#2708C2214yescomplemented
94#2708C2214yescomplemented
95#2708C2214yescomplemented
96#2708C2214yescomplemented
97#2701C2214yescomplemented
98#2701C2214yescomplemented
99#2697C2214yescomplemented
100#2694C2214yescomplemented
101#2690C2214yescomplemented
102#2688C2214yescomplemented
103#2688C2214yescomplemented
104#2688C2214yescomplemented
105#2671C2214yescomplemented
106#2671C2214yescomplemented
107#2671C2214yescomplemented
108#2668C2214yescomplemented
109#2668C2214yescomplemented
110#2668C2214yescomplemented
111#2627C2212yescomplemented
112#2622C2212yescomplemented
113#2618C2212yescomplemented
114#2613C2212yescomplemented
115#2613C2212yescomplemented
116#2613C2212yescomplemented
117#2602C2214yescomplemented
118#2600C2214yescomplemented
119#2591C2212yescomplemented
120#2583C2212yescomplemented
121#2579C2212yes—
122#2579C2212yescomplemented
123#2559C2214yescomplemented
124#2559C2214yescomplemented
125#2553C2214yescomplemented
126#2553C2214yescomplemented
127#2552C2212yescomplemented
128#2550C2212yescomplemented
129#2537C2212yescomplemented
130#2537C2214yescomplemented
131#2535C2212yescomplemented
132#2535C2214yescomplemented
133#2534C2214yescomplemented
134#2521C2214yescomplemented
135#2521C2214yescomplemented
136#2504C2211yescharacteristic, complemented
137#2503C2212yescomplemented
138#2503C2211yescharacteristic, complemented
139#2502C2211yescharacteristic, complemented
140#2501C2212yescomplemented
141#2501C2211yescharacteristic, complemented
142#2500C2212yescomplemented
143#2499C2212yescomplemented
144#2498C2214yescomplemented
145#2496C2214yescomplemented
146#2496C2214yescomplemented
147#2490C2212yescomplemented
148#2489C2212yescomplemented
149#2487C2211yescharacteristic
150#2487C2211yescharacteristic, complemented
151#2486C2212yes—
152#2486C2211yescharacteristic
153#2486C2212yescomplemented
154#2486C2211yescharacteristic, complemented
155#2486C2214yescomplemented
156#2485C2212yescomplemented
157#2485C2212yescomplemented
158#2485C2212yescomplemented
159#2484C2212yescomplemented
160#2483C2212yescomplemented
161#2483C2212yescomplemented
162#2483C2212yescomplemented
163#2482C2212yescomplemented
164#2481C2214yescomplemented
165#2480C2214yescomplemented
166#2480C2214yescomplemented
167#2478C2214yescomplemented
168#2478C2214yescomplemented
169#2473C2214yescomplemented
170#2468C2214yescomplemented
171#2468C2214yescomplemented
172#2468C2214yescomplemented
173#2468C2214yescomplemented
174#2466C2214yescomplemented
175#2466C2214yescomplemented
176#2464C2214yescomplemented
177#2464C2214yescomplemented
178#2461C2214yescomplemented
179#2461C2214yescomplemented
180#2457C2214yescomplemented
181#2457C2214yescomplemented
182#2454C2212yescomplemented
183#2453C2212yescomplemented
184#2449C2214yescomplemented
185#2447C2212yescomplemented
186#2445C2212yescomplemented
187#2444C2214yescomplemented
188#2443C2214yescomplemented
189#2443C2214yescomplemented
190#2442C2212yescomplemented
191#2442C2212yescomplemented
192#2441C2212yescomplemented
193#2440C2212yescomplemented
194#2428C2214yescomplemented
195#2428C2212yescomplemented
196#2427C2212yescomplemented
197#2427C2214yescomplemented
198#2425C2214yescomplemented
199#2425C2214yescomplemented
200#2422C2214yescomplemented
201#2422C2212yescomplemented
202#2422C2212yescomplemented
203#2420C2214yescomplemented
204#2420C2212yescomplemented
205#2420C2212yescomplemented
206#2419C2214yescomplemented
207#2419C2214yescomplemented
208#2419C2214yescomplemented
209#2418C2214yescomplemented
210#2417C2212yescomplemented
211#2416C2212yescomplemented
212#2415C2212yescomplemented
213#2414C2212yescomplemented
214#2412C2212yescomplemented
215#2412C2212yescomplemented
216#2412C2212yescomplemented
217#2412C2212yescomplemented
218#2412C2212yescomplemented
219#2412C2212yescomplemented
220#2408C2214yescomplemented
221#2408C2212yescomplemented
222#2407C2214yescomplemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2406C2214yescomplemented
226#2405C2212yes—
227#2405C2212yes—
228#2405C2212yes—
229#2405C2214yescomplemented
230#2395C2214yescomplemented
231#2395C2212yescomplemented
232#2395C2212yescomplemented
233#2364C2214yescomplemented
234#2364C2214yescomplemented
235#2364C2214yescomplemented
236#2363C2212yescomplemented
237#2363C2212yescomplemented
238#2361C2214yescomplemented
239#2361C2212yescomplemented
240#2361C2214yescomplemented
241#2360C2212yescomplemented
242#2359C2214yescomplemented
243#2359C2214yescomplemented
244#2358C2214yescomplemented
245#2358C2214yescomplemented
246#2352C2212yescomplemented
247#2349C2212yescomplemented
248D4×C4⋊C4C2212yescomplemented
249D4×C4⋊C4C2212yescomplemented
250#2345C2211yescharacteristic, complemented
251#2345C2211yescharacteristic, complemented
252#2339C2212yescomplemented
253D4×C22⋊C4C2212yescomplemented
254D4×C22⋊C4C2211yescharacteristic, complemented
255D4×C22⋊C4C2212yescomplemented
256D4×C22⋊C4C2211yescharacteristic, complemented
257D4×C22⋊C4C2212yescomplemented
258#2333C2214yescomplemented
259#2325C2212yescomplemented
260#2325C2212yescomplemented
261#2322C2211yescharacteristic
262#2322C2212yes—
263#2322C2212yescomplemented
264#2322C2211yescharacteristic, complemented
265#2322C2212yescomplemented
266#2322C2212yescomplemented
267#2321C2211yescharacteristic
268#2321C2211yescharacteristic, complemented
269#2321C2212yescomplemented
270#2321C2212yescomplemented
271#2315C2211yescharacteristic, complemented
272#2312C2212yescomplemented
273#2308C2211yescharacteristic
274#2308C2211yescharacteristic, complemented
275#2308C2212yescomplemented
276C4×#123C2211yescharacteristic
277C4×#123C2212yes—
278C4×#123C2212yescomplemented
279C4×#123C2212yescomplemented
280C4×#123C2211yescharacteristic, complemented
281C4×#123C2212yescomplemented
282C4×#123C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#120C2211yescharacteristic
288C4×#120C2212yes—
289C4×#120C2211yescharacteristic, complemented
290C4×#120C2212yescomplemented
291C4×#120C2212yescomplemented
292#2297C2212yescomplemented
293#2296C2212yescomplemented
294C2×#386C2212yes—
295C2×#385C2212yescomplemented
296#2285C2212yescomplemented
297#2280C2212yescomplemented
298#2280C2211yescharacteristic, complemented
299#2273C2212yescomplemented
300C2×C4×C22⋊C4C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C23×D4C2311yescharacteristic
305C23×D4C2311yescharacteristic
306C23×D4C2312yes—
307C23×D4C2312yes—
308C23×D4C2311yescharacteristic
309C23×D4C2312yes—
310C23×D4C2311yescharacteristic
311C23×D4C2312yes—
312C24×C4C2311yescharacteristic
313C24×C4C2311yescharacteristic
314C24×C4C2312yes—
315C24×C4C2312yes—
316C24×C4C2311yescharacteristic
317#555—28no—
318#554—28no—
319#553—216no—
320#553—216no—
321#553—232no—
322#553—232no—
323#553—216no—
324#553—216no—
325#553—216no—
326#553—28no—
327#553—28no—
328#550—28no—
329#546—216no—
330#546—28no—
331#546—216no—
332#546—28no—
333D42—216no—
334D42—28no—
335#540—216no—
336#538—216no—
337#538—216no—
338#534—28no—
339#534—216no—
340#532—28no—
341C2×C4⋊Q8C2311yescharacteristic
342C2×#127C2311yescharacteristic
343C2×#127C2312yes—
344#529—28no—
345C2×#126—216no—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#125—28no—
354C2×#125C2314yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#124C2311yescharacteristic
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363#525—28no—
364#525—28no—
365C2×#123—216no—
366C2×#123C2311yescharacteristic
367C2×#123C2312yes—
368C2×#123C2311yescharacteristic
369C2×#123C2312yes—
370C2×#123C2312yes—
371C2×#123C2312yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×#121—216no—
396C2×#121—28no—
397C2×#121—28no—
398C2×#121D4116yescomplemented
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2311yescharacteristic
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2311yescharacteristic
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2311yescharacteristic
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×#120C2311yescharacteristic
435C2×#120C2312yes—
436C2×#120C2312yes—
437C2×#120C2312yes—
438C2×#120C2312yes—
439C2×#120C2312yes—
440C2×#120C2314yes—
441C2×#120C2312yes—
442C2×#120C2312yes—
443C2×#120C2312yes—
444C2×#120C2311yescharacteristic
445#518—216no—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×D4—28no—
448C2×C4×D4—28no—
449C2×C4×D4—28no—
450C2×C4×D4—216no—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2314yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2314yes—
491C2×#117—28no—
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C22×C4⋊C4—28no—
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2311yescharacteristic
510C22×C4⋊C4C2314yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2314yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C22⋊C4C2311yescharacteristic
516C22×C22⋊C4C2311yescharacteristic
517C22×C22⋊C4C2312yes—
518C22×C22⋊C4C2311yescharacteristic
519C22×C22⋊C4C2311yescharacteristic
520C22×C22⋊C4C2311yescharacteristic
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2312yes—
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2312yes—
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2311yescharacteristic
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2314yes—
530C22×C22⋊C4C2312yes—
531C22×C42C2311yescharacteristic
532C22×C42C2312yes—
533C22×C42C2311yescharacteristic
534C22×C42C2312yes—
535#400C2314yes—
536#400C2314yes—
537#400C2312yes—
538#400C2314yes—
539#400C2312yes—
540#400C2314yes—
541#400C2314yes—
542#399C2314yes—
543#399C2312yes—
544#399C2312yes—
545#399C2314yes—
546#399C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2312yes—
554#398C2314yes—
555#398C2312yes—
556#398C2314yes—
557#398C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2312yes—
563#397C2314yes—
564#397C2314yes—
565#397C2312yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#395C2314yes—
582#395C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#391C2312yes—
612#391C2312yes—
613#391C2314yes—
614#391C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2312yes—
626#389C2312yes—
627#389C2314yes—
628#389C2312yes—
629#389C2314yes—
630#389C2314yes—
631#389C2314yes—
632#389C2314yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2314yes—
640#389C2312yes—
641#389C2314yes—
642#389C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#387C2312yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#386C2311yescharacteristic
684#386C2311yescharacteristic
685#386C2311yescharacteristic
686#386C2311yescharacteristic
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#385C2311yescharacteristic
730#385C2311yescharacteristic
731#385C2312yes—
732#385C2311yescharacteristic
733#385C2311yescharacteristic
734#385C2312yes—
735#385C2312yes—
736#385C2312yes—
737#385C2314yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#384C2312yes—
766#384C2312yes—
767#384C2314yes—
768#382C2312yes—
769#382C2312yes—
770#382C2314yes—
771#381C2312yes—
772#381C2312yes—
773#381C2311yescharacteristic
774#381C2311yescharacteristic
775#381C2312yes—
776#381C2312yes—
777#381C2312yes—
778#381C2314yes—
779#381C2314yes—
780#381C2314yes—
781#381C2312yes—
782#381C2312yes—
783#381C2314yes—
784#381C2314yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2312yes—
791#380C2314yes—
792#380C2311yescharacteristic
793#380C2312yes—
794#380C2314yes—
795#380C2312yes—
796#380C2312yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2312yes—
801#380C2312yes—
802#380C2314yes—
803#380C2312yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#379C2312yes—
809#379C2311yescharacteristic
810#379C2312yes—
811#379C2311yescharacteristic
812#379C2312yes—
813#379C2312yes—
814#379C2312yes—
815#379C2314yes—
816#379C2314yes—
817#379C2314yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850C2×#95C2312yes—
851C2×#95C2314yes—
852C2×#95C2314yes—
853C25C2412yes—
854C25C2411yescharacteristic
855C25C2411yescharacteristic
856C25C2412yes—
857C25C2411yescharacteristic
858C2×#41—24no—
859C2×#41—28no—
860C2×#41—24no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—84no—
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×D4—24no—
867C22×D4—28no—
868C22×D4—24no—
869C22×D4—28no—
870C22×D4—24no—
871C22×D4—28no—
872C22×D4—24no—
873C22×D4—28no—
874C22×D4—24no—
875C22×D4—28no—
876C22×D4—44no—
877C22×D4—44no—
878C22×D4—42no—
879C22×D4—44no—
880C22×D4—42no—
881C22×D4—44no—
882C22×D4—84no—
883C22×D4—84no—
884C22×D4C2×D418yes—
885C22×D4C2×D4116yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2411yescharacteristic
896C22×D4C2412yes—
897C22×D4C2411yescharacteristic
898C22×D4C2411yescharacteristic
899C22×D4C2411yescharacteristic
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2412yes—
915C23×C4—28no—
916C23×C4—24no—
917C23×C4—28no—
918C23×C4—24no—
919C23×C4—44no—
920C23×C4—44no—
921C23×C4—44no—
922C23×C4—84no—
923C23×C4—84no—
924C23×C4C2×D418yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2412yes—
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2412yes—
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2411yescharacteristic
943C23×C4C2414yes—
944C23×C4C2412yes—
945C23×C4C2414yes—
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2412yes—
949C23×C4C2414yes—
950C23×C4C2414yes—
951C23×C4C2412yes—
952C23×C4C2414yes—
953C23×C4C2411yescharacteristic
954C23×C4C2414yes—
955C23×C4C2412yes—
956C23×C4C2411yescharacteristic
957C23×C4C2412yes—
958C23×C4C2411yescharacteristic
959C23×C4C2411yescharacteristic
960C4⋊Q8—24no—
961#127—24no—
962#127—28no—
963#126—28no—
964#126—216no—
965#126—216no—
966#126—216no—
967#126—216no—
968#126—28no—
969#126—28no—
970#125—28no—
971#125—28no—
972#125—216no—
973#125—24no—
974#125—28no—
975#124—24no—
976#124—28no—
977#124—28no—
978#124—28no—
979#123—216no—
980#123—216no—
981#123—216no—
982#123—216no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—24no—
987#123—28no—
988#123—28no—
989#123—28no—
990#123—28no—
991#123—28no—
992#123—28no—
993#123—216no—
994#123—24no—
995#123—28no—
996#123—44no—
997#123—44no—
998#123—44no—
999#123—84no—
1000#123—84no—
1001C22⋊Q8—24no—
1002C22⋊Q8—24no—
1003C22⋊Q8—28no—
1004C22⋊Q8—24no—
1005C22⋊Q8—28no—
1006C22⋊Q8—44no—
1007C22⋊Q8—84no—
1008#121—28no—
1009#121—24no—
1010#121—216no—
1011#121—216no—
1012#121—216no—
1013#121—216no—
1014#121—28no—
1015#121—28no—
1016#121—216no—
1017#121—24no—
1018#121—28no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—28no—
1024#121—28no—
1025#121—28no—
1026#121—216no—
1027#121—24no—
1028#121—24no—
1029#121—28no—
1030#121—24no—
1031#121—28no—
1032#121—28no—
1033#121—28no—
1034#121—216no—
1035#121—44no—
1036#121—84no—
1037#121C2×D418yes—
1038#121C2×D418yes—
1039#121C2×D4116yes—
1040#121C2×D4116yes—
1041#121C2×D418yes—
1042#121C2×D418yes—
1043#120—28no—
1044#120—28no—
1045#120—28no—
1046#120—24no—
1047#120—28no—
1048#120—28no—
1049#120—28no—
1050#120—28no—
1051#120—28no—
1052#120—216no—
1053#120#4118yescomplemented
1054C4×Q8—24no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—216no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4—24no—
1063C4×D4—24no—
1064C4×D4—24no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—24no—
1068C4×D4—24no—
1069C4×D4—24no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—24no—
1079C4×D4—216no—
1080C4×D4—216no—
1081C4×D4—216no—
1082C4×D4—216no—
1083C4×D4—28no—
1084C4×D4—28no—
1085C4×D4—28no—
1086C4×D4—28no—
1087C4×D4—44no—
1088C4×D4—44no—
1089C4×D4—44no—
1090C4×D4—44no—
1091C4×D4—84no—
1092C4×D4—84no—
1093C4×D4—84no—
1094C4×D4—84no—
1095#117—28no—
1096#117—28no—
1097#117—28no—
1098#117—28no—
1099#117—24no—
1100#117—24no—
1101#117—28no—
1102#117—28no—
1103#117—44no—
1104C2×C4⋊C4—24no—
1105C2×C4⋊C4—28no—
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4—28no—
1108C2×C4⋊C4—24no—
1109C2×C4⋊C4—24no—
1110C2×C4⋊C4—28no—
1111C2×C4⋊C4—28no—
1112C2×C4⋊C4—28no—
1113C2×C4⋊C4—216no—
1114C2×C4⋊C4—24no—
1115C2×C4⋊C4—84no—
1116C2×C4⋊C4C2×D418yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2412yes—
1167C2×C22⋊C4—28no—
1168C2×C22⋊C4—28no—
1169C2×C22⋊C4—24no—
1170C2×C22⋊C4—24no—
1171C2×C22⋊C4—28no—
1172C2×C22⋊C4—28no—
1173C2×C22⋊C4—24no—
1174C2×C22⋊C4—24no—
1175C2×C22⋊C4—28no—
1176C2×C22⋊C4—28no—
1177C2×C22⋊C4—24no—
1178C2×C22⋊C4—28no—
1179C2×C22⋊C4—42no—
1180C2×C22⋊C4—44no—
1181C2×C22⋊C4—84no—
1182C2×C22⋊C4C2×D4116yes—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2411yescharacteristic
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2411yescharacteristic
1261C2×C22⋊C4C2412yes—
1262C2×C42—28no—
1263C2×C42—24no—
1264C2×C42—24no—
1265C2×C42—44no—
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2414yes—
1270C2×C42C2414yes—
1271C2×C42C2412yes—
1272C2×C42C2411yescharacteristic
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2414yes—
1280C2×C42C2414yes—
1281C2×C42C2414yes—
1282C2×C42C2412yes—
1283C2×C42C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2412yes—
1317#95C2414yes—
1318#95C2412yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2412yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329C24—22no—
1330C24—22no—
1331C24—22no—
1332C24—24no—
1333C24—22no—
1334C24—24no—
1335C24—22no—
1336C24—24no—
1337C24—22no—
1338C24—24no—
1339C24—42no—
1340C24—42no—
1341C24—42no—
1342C24—44no—
1343C24—44no—
1344C24—41no—
1345C24—42no—
1346C24—42no—
1347C24—42no—
1348C24—42no—
1349C24—44no—
1350C24—44no—
1351C24C22×D414yes—
1352C24C22×D418yes—
1353C24C2×#4114yes—
1354C24C2511yescharacteristic
1355C24C2512yes—
1356C24C2511yescharacteristic
1357C24C2512yes—
1358C24C2512yes—
1359C24C2511yescharacteristic
1360C24C2511yescharacteristic
1361C24C2512yes—
1362C24C2511yescharacteristic
1363#41—88no—
1364#41—88no—
1365#41—816no—
1366C2×Q8—22no—
1367C2×Q8—24no—
1368C2×Q8—24no—
1369C2×Q8—44no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—28no—
1378C2×D4—24no—
1379C2×D4—28no—
1380C2×D4—22no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—28no—
1385C2×D4—22no—
1386C2×D4—24no—
1387C2×D4—22no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—28no—
1391C2×D4—22no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—28no—
1400C2×D4—22no—
1401C2×D4—24no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—416no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—42no—
1414C2×D4—41no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—41no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—42no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—42no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—416no—
1435C2×D4—432no—
1436C2×D4—416no—
1437C2×D4—432no—
1438C2×D4—88no—
1439C2×D4—816no—
1440C2×D4—816no—
1441C2×D4C22×D414yes—
1442C2×D4C22×D414yes—
1443C2×D4C22×D418yes—
1444C2×D4C22×D418yes—
1445C2×D4C22×D418yes—
1446C2×D4C22×D418yes—
1447C2×D4C22×D418yes—
1448C2×D4C2×#4114yes—
1449C2×D4C2×#4118yes—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—24no—
1465C22×C4—22no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—28no—
1469C22×C4—28no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—22no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—28no—
1485C22×C4—28no—
1486C22×C4—22no—
1487C22×C4—28no—
1488C22×C4—24no—
1489C22×C4—416no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—41no—
1500C22×C4—42no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—44no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—42no—
1511C22×C4—42no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—44no—
1519C22×C4—44no—
1520C22×C4—42no—
1521C22×C4—42no—
1522C22×C4—42no—
1523C22×C4—44no—
1524C22×C4—44no—
1525C22×C4—44no—
1526C22×C4—44no—
1527C22×C4—44no—
1528C22×C4—416no—
1529C22×C4—88no—
1530C22×C4—816no—
1531C22×C4—816no—
1532C22×C4C22×D414yes—
1533C22×C4C22×D414yes—
1534C22×C4C22×D414yes—
1535C22×C4C22×D414yes—
1536C22×C4C22×D414yes—
1537C22×C4C22×D418yes—
1538C22×C4C22×D414yes—
1539C22×C4C2512yes—
1540C22×C4C2512yes—
1541C22×C4C2514yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2512yes—
1544C22×C4C2511yescharacteristic
1545C22×C4C2512yes—
1546C22×C4C2514yes—
1547C22×C4C2512yes—
1548C22×C4C2511yescharacteristic
1549C22×C4C2514yes—
1550C22×C4C2512yes—
1551C22×C4C2511yescharacteristic
1552C22×C4C2512yes—
1553C22×C4C2514yes—
1554C22×C4C2511yescharacteristic
1555C22×C4C2512yes—
1556C22×C4C2512yes—
1557C22×C4C2511yescharacteristic
1558C22×C4C2511yescharacteristic
1559C22×C4C2511yescharacteristic
1560C22×C4C2512yes—
1561C22×C4C2512yes—
1562C22×C4C2512yes—
1563C22×C4C2511yescharacteristic
1564C22×C4C2511yescharacteristic
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—28no—
1568C4⋊C4—28no—
1569C4⋊C4—22no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—22no—
1573C4⋊C4—22no—
1574C4⋊C4—28no—
1575C4⋊C4—28no—
1576C4⋊C4—22no—
1577C4⋊C4—22no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—28no—
1582C4⋊C4—28no—
1583C4⋊C4—22no—
1584C4⋊C4—24no—
1585C4⋊C4—24no—
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—28no—
1593C4⋊C4—24no—
1594C4⋊C4—28no—
1595C4⋊C4—24no—
1596C4⋊C4—24no—
1597C4⋊C4—42no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—44no—
1601C4⋊C4—42no—
1602C4⋊C4—42no—
1603C4⋊C4—44no—
1604C4⋊C4—44no—
1605C4⋊C4—44no—
1606C4⋊C4—44no—
1607C4⋊C4—44no—
1608C4⋊C4—44no—
1609C4⋊C4—44no—
1610C4⋊C4—44no—
1611C4⋊C4—42no—
1612C4⋊C4C22×D414yes—
1613C4⋊C4C22×D414yes—
1614C4⋊C4C22×D418yes—
1615C22⋊C4—22no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—28no—
1619C22⋊C4—28no—
1620C22⋊C4—22no—
1621C22⋊C4—24no—
1622C22⋊C4—22no—
1623C22⋊C4—22no—
1624C22⋊C4—28no—
1625C22⋊C4—28no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—28no—
1629C22⋊C4—28no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—22no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—28no—
1640C22⋊C4—24no—
1641C22⋊C4—28no—
1642C22⋊C4—22no—
1643C22⋊C4—22no—
1644C22⋊C4—24no—
1645C22⋊C4—22no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—22no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—22no—
1652C22⋊C4—24no—
1653C22⋊C4—22no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—24no—
1657C22⋊C4—24no—
1658C22⋊C4—28no—
1659C22⋊C4—24no—
1660C22⋊C4—28no—
1661C22⋊C4—42no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—42no—
1670C22⋊C4—42no—
1671C22⋊C4—44no—
1672C22⋊C4—42no—
1673C22⋊C4—42no—
1674C22⋊C4—42no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—42no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—44no—
1687C22⋊C4—42no—
1688C22⋊C4C22×D418yes—
1689C22⋊C4C22×D418yes—
1690C22⋊C4C22×D418yes—
1691C22⋊C4C22×D418yes—
1692C22⋊C4C2×#4114yes—
1693C22⋊C4C2×#4118yes—
1694C42—22no—
1695C42—28no—
1696C42—28no—
1697C42—22no—
1698C42—24no—
1699C42—24no—
1700C42—22no—
1701C42—22no—
1702C42—24no—
1703C42—24no—
1704C42—24no—
1705C42—24no—
1706C42—24no—
1707C42—42no—
1708C42—42no—
1709C42—44no—
1710C42—44no—
1711C42—44no—
1712C23—22no—
1713C23—22no—
1714C23—21no—
1715C23—22no—
1716C23—21no—
1717C23—22no—
1718C23—22no—
1719C23—21no—
1720C23—22no—
1721C23—22no—
1722C23—21no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—24no—
1727C23—24no—
1728C23—22no—
1729C23—22no—
1730C23—21no—
1731C23—21no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—24no—
1738C23—24no—
1739C23—22no—
1740C23—28no—
1741C23—28no—
1742C23—216no—
1743C23—21no—
1744C23—22no—
1745C23—21no—
1746C23—22no—
1747C23—21no—
1748C23—22no—
1749C23—22no—
1750C23—24no—
1751C23—24no—
1752C23—22no—
1753C23—48no—
1754C23—44no—
1755C23—48no—
1756C23—48no—
1757C23—44no—
1758C23—44no—
1759C23—48no—
1760C23—44no—
1761C23—44no—
1762C23—48no—
1763C23—44no—
1764C23—82no—
1765C23—84no—
1766C23—88no—
1767C23—84no—
1768C23—88no—
1769C23—84no—
1770C23—84no—
1771C23—84no—
1772C23—88no—
1773C23—84no—
1774C23—164no—
1775C23C23×D412yes—
1776C23C23×D414yes—
1777C23C23×D412yes—
1778C23C23×D414yes—
1779C23C23×D412yes—
1780C23C22×#4112yes—
1781C23C22×#4114yes—
1782C23C22×#4112yes—
1783C23#58512yes—
1784C23C2611yescharacteristic
1785Q8—44no—
1786Q8—84no—
1787D4—28no—
1788D4—28no—
1789D4—28no—
1790D4—48no—
1791D4—48no—
1792D4—48no—
1793D4—48no—
1794D4—48no—
1795D4—48no—
1796D4—48no—
1797D4—44no—
1798D4—48no—
1799D4—416no—
1800D4—48no—
1801D4—44no—
1802D4—416no—
1803D4—48no—
1804D4—48no—
1805D4—44no—
1806D4—48no—
1807D4—44no—
1808D4—84no—
1809D4—84no—
1810D4—88no—
1811D4—84no—
1812D4—84no—
1813D4—84no—
1814D4—84no—
1815D4—84no—
1816C2×C4—21no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—24no—
1824C2×C4—24no—
1825C2×C4—28no—
1826C2×C4—28no—
1827C2×C4—28no—
1828C2×C4—21no—
1829C2×C4—22no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—24no—
1834C2×C4—22no—
1835C2×C4—24no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—21no—
1844C2×C4—22no—
1845C2×C4—24no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—24no—
1851C2×C4—24no—
1852C2×C4—22no—
1853C2×C4—24no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—24no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—24no—
1862C2×C4—21no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—24no—
1866C2×C4—24no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—24no—
1871C2×C4—24no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—24no—
1875C2×C4—22no—
1876C2×C4—44no—
1877C2×C4—44no—
1878C2×C4—44no—
1879C2×C4—48no—
1880C2×C4—44no—
1881C2×C4—48no—
1882C2×C4—48no—
1883C2×C4—44no—
1884C2×C4—44no—
1885C2×C4—48no—
1886C2×C4—44no—
1887C2×C4—48no—
1888C2×C4—44no—
1889C2×C4—48no—
1890C2×C4—44no—
1891C2×C4—44no—
1892C2×C4—84no—
1893C2×C4—88no—
1894C2×C4—82no—
1895C2×C4—82no—
1896C2×C4—88no—
1897C2×C4—88no—
1898C2×C4—84no—
1899C2×C4—84no—
1900C2×C4—84no—
1901C2×C4—82no—
1902C2×C4—88no—
1903C2×C4—88no—
1904C2×C4—84no—
1905C2×C4—84no—
1906C2×C4—84no—
1907C2×C4—164no—
1908C2×C4C23×D412yes—
1909C2×C4C23×D412yes—
1910C2×C4C23×D412yes—
1911C2×C4C23×D414yes—
1912C2×C4C23×D414yes—
1913C2×C4C23×D412yes—
1914C2×C4C22×#4114yes—
1915C2×C4C22×#4112yes—
1916C2×C4#58514yes—
1917C22—24no—
1918C22—22no—
1919C22—22no—
1920C22—24no—
1921C22—24no—
1922C22—24no—
1923C22—24no—
1924C22—22no—
1925C22—22no—
1926C22—24no—
1927C22—24no—
1928C22—22no—
1929C22—24no—
1930C22—24no—
1931C22—22no—
1932C22—22no—
1933C22—24no—
1934C22—22no—
1935C22—24no—
1936C22—24no—
1937C22—22no—
1938C22—416no—
1939C22—44no—
1940C22—42no—
1941C22—42no—
1942C22—44no—
1943C22—42no—
1944C22—41no—
1945C22—42no—
1946C22—41no—
1947C22—42no—
1948C22—44no—
1949C22—42no—
1950C22—42no—
1951C22—44no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—44no—
1956C22—41no—
1957C22—42no—
1958C22—42no—
1959C22—41no—
1960C22—42no—
1961C22—44no—
1962C22—41no—
1963C22—42no—
1964C22—88no—
1965C22—816no—
1966C22—88no—
1967C22—168no—
1968C22D4×#4114yes—
1969C22C24×D411yescharacteristic
1970C22C23×#4111yescharacteristic
1971C22C2×#58512yes—
1972C22C2×#58511yescharacteristic
1973C22H(7,𝔽2)12yes—
1974C4—24no—
1975C4—22no—
1976C4—22no—
1977C4—22no—
1978C4—24no—
1979C4—24no—
1980C4—22no—
1981C4—42no—
1982C4—44no—
1983C4—42no—
1984C4—41no—
1985C4—41no—
1986C4—42no—
1987C4—41no—
1988C4—42no—
1989C4—44no—
1990C4—41no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—44no—
1995C4—41no—
1996C4—42no—
1997C4—44no—
1998C4—42no—
1999C4#348514yes—
2000C2—24no—
2001C2—44no—
2002C2—42no—
2003C2—44no—
2004C2—42no—
2005C2—44no—
2006C2—42no—
2007C2—81no—
2008C2—82no—
2009C2C2×D4×#4111yescharacteristic
2010C2C2×#348511yescharacteristic
2011C2#6284211yescharacteristic
2012C2#6290812yes—
2013C2#6299212yes—
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. C22×#553C2semidirect
3. #59812C2semidirect
4. #59770C2semidirect
5. #59315C2semidirect
6. #59213C2semidirect
7. #59121C2semidirect
8. #59117C2semidirect
9. #59028C2semidirect
10. #59020C2semidirect
11. #44456C2semidirect
12. #43546C2semidirect
13. #43542C2semidirect
14. #43503C2semidirect
15. #39466C2semidirect
16. #39466C2semidirect
17. #39338C2semidirect
18. #39338C2semidirect
19. #39134C2semidirect
20. #39122C2semidirect
21. #38038C2semidirect
22. #38022C2semidirect
23. #36581C2semidirect
24. #36546C2semidirect
25. #36237C2semidirect
26. #36236C2semidirect
27. #35467C2semidirect
28. #35452C2semidirect
29. #35091C2semidirect
30. #35031C2semidirect
31. #34810C2semidirect
32. #34809C2semidirect
33. #34264C2semidirect
34. #34246C2semidirect
35. C4×#534C2semidirect
37. C2×#555C22semidirect
42. C2×#553C22semidirect
43. C2×#553C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
46. C2×#553C22semidirect
47. C2×#553C22semidirect
48. C2×#553C22semidirect
49. C2×#550C22semidirect
52. C2×#546C22semidirect
53. C2×#546C22semidirect
56. C2×#540C22semidirect
58. C2×#538C22semidirect
61. C2×#532C22semidirect
62. C2×#529C22semidirect
63. C22×#126C22semidirect
64. C22×#125C22semidirect
66. C2×#525C22semidirect
67. C22×#123C22semidirect
69. C22×#121C22semidirect
70. C22×#121C22semidirect
71. C22×#121C22semidirect
74. C22×C4×D4C22semidirect
75. C22×C4×D4C22semidirect
76. C22×C4×D4C22semidirect
77. C22×#117C22semidirect
78. C23×C4⋊C4C22semidirect
79. #2855C22semidirect
80. #2854C22semidirect
81. #2849C22semidirect
82. #2849C22semidirect
83. #2848C22semidirect
84. #2848C22semidirect
85. #2847C22semidirect
86. #2847C22semidirect
87. #2724C22semidirect
88. #2721C22semidirect
89. #2719C22semidirect
90. #2717C22semidirect
91. #2709C22semidirect
92. #2708C22semidirect
93. #2708C22semidirect
94. #2708C22semidirect
95. #2708C22semidirect
96. #2708C22semidirect
97. #2701C22semidirect
98. #2701C22semidirect
99. #2697C22semidirect
100. #2694C22semidirect
101. #2690C22semidirect
102. #2688C22semidirect
103. #2688C22semidirect
104. #2688C22semidirect
105. #2671C22semidirect
106. #2671C22semidirect
107. #2671C22semidirect
108. #2668C22semidirect
109. #2668C22semidirect
110. #2668C22semidirect
111. #2627C22semidirect
112. #2622C22semidirect
113. #2618C22semidirect
114. #2613C22semidirect
115. #2613C22semidirect
116. #2613C22semidirect
117. #2602C22semidirect
118. #2600C22semidirect
119. #2591C22semidirect
120. #2583C22semidirect
122. #2579C22semidirect
123. #2559C22semidirect
124. #2559C22semidirect
125. #2553C22semidirect
126. #2553C22semidirect
127. #2552C22semidirect
128. #2550C22semidirect
129. #2537C22semidirect
130. #2537C22semidirect
131. #2535C22semidirect
132. #2535C22semidirect
133. #2534C22semidirect
134. #2521C22semidirect
135. #2521C22semidirect
136. #2504C22semidirect
137. #2503C22semidirect
138. #2503C22semidirect
139. #2502C22semidirect
140. #2501C22semidirect
141. #2501C22semidirect
142. #2500C22semidirect
143. #2499C22semidirect
144. #2498C22semidirect
145. #2496C22semidirect
146. #2496C22semidirect
147. #2490C22semidirect
148. #2489C22semidirect
150. #2487C22semidirect
153. #2486C22semidirect
154. #2486C22semidirect
155. #2486C22semidirect
156. #2485C22semidirect
157. #2485C22semidirect
158. #2485C22semidirect
159. #2484C22semidirect
160. #2483C22semidirect
161. #2483C22semidirect
162. #2483C22semidirect
163. #2482C22semidirect
164. #2481C22semidirect
165. #2480C22semidirect
166. #2480C22semidirect
167. #2478C22semidirect
168. #2478C22semidirect
169. #2473C22semidirect
170. #2468C22semidirect
171. #2468C22semidirect
172. #2468C22semidirect
173. #2468C22semidirect
174. #2466C22semidirect
175. #2466C22semidirect
176. #2464C22semidirect
177. #2464C22semidirect
178. #2461C22semidirect
179. #2461C22semidirect
180. #2457C22semidirect
181. #2457C22semidirect
182. #2454C22semidirect
183. #2453C22semidirect
184. #2449C22semidirect
185. #2447C22semidirect
186. #2445C22semidirect
187. #2444C22semidirect
188. #2443C22semidirect
189. #2443C22semidirect
190. #2442C22semidirect
191. #2442C22semidirect
192. #2441C22semidirect
193. #2440C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2427C22semidirect
197. #2427C22semidirect
198. #2425C22semidirect
199. #2425C22semidirect
200. #2422C22semidirect
201. #2422C22semidirect
202. #2422C22semidirect
203. #2420C22semidirect
204. #2420C22semidirect
205. #2420C22semidirect
206. #2419C22semidirect
207. #2419C22semidirect
208. #2419C22semidirect
209. #2418C22semidirect
210. #2417C22semidirect
211. #2416C22semidirect
212. #2415C22semidirect
213. #2414C22semidirect
214. #2412C22semidirect
215. #2412C22semidirect
216. #2412C22semidirect
217. #2412C22semidirect
218. #2412C22semidirect
219. #2412C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2406C22semidirect
229. #2405C22semidirect
230. #2395C22semidirect
231. #2395C22semidirect
232. #2395C22semidirect
233. #2364C22semidirect
234. #2364C22semidirect
235. #2364C22semidirect
236. #2363C22semidirect
237. #2363C22semidirect
238. #2361C22semidirect
239. #2361C22semidirect
240. #2361C22semidirect
241. #2360C22semidirect
242. #2359C22semidirect
243. #2359C22semidirect
244. #2358C22semidirect
245. #2358C22semidirect
246. #2352C22semidirect
247. #2349C22semidirect
248. D4×C4⋊C4C22semidirect
249. D4×C4⋊C4C22semidirect
250. #2345C22semidirect
251. #2345C22semidirect
252. #2339C22semidirect
253. D4×C22⋊C4C22semidirect
254. D4×C22⋊C4C22semidirect
255. D4×C22⋊C4C22semidirect
256. D4×C22⋊C4C22semidirect
257. D4×C22⋊C4C22semidirect
258. #2333C22semidirect
259. #2325C22semidirect
260. #2325C22semidirect
263. #2322C22semidirect
264. #2322C22semidirect
265. #2322C22semidirect
266. #2322C22semidirect
268. #2321C22semidirect
269. #2321C22semidirect
270. #2321C22semidirect
271. #2315C22semidirect
272. #2312C22semidirect
274. #2308C22semidirect
275. #2308C22semidirect
278. C4×#123C22semidirect
279. C4×#123C22semidirect
280. C4×#123C22semidirect
281. C4×#123C22semidirect
282. C4×#123C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
289. C4×#120C22semidirect
290. C4×#120C22semidirect
291. C4×#120C22semidirect
292. #2297C22semidirect
293. #2296C22semidirect
295. C2×#385C22semidirect
296. #2285C22semidirect
297. #2280C22semidirect
298. #2280C22semidirect
299. #2273C22semidirect
300. C2×C4×C22⋊C4C22semidirect
398. C2×#121D4semidirect
1053. #120#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C22×#5532
#598122
#597702
#593152
#592132
#591212
#591172
#590282
#590202
#444562
#435462
#435422
#435032
#394662
#393382
#391342
#391222
#380382
#380222
#365812
#365462
#362372
#362362
#354672
#354522
#350912
#350312
#348102
#348092
#342642
#342462
C4×#5342