Finite Group Databasebeta

← #7674995

Subgroups — #7674995

Order 512.

7569 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×#555C211yesmaximal, characteristic, complemented
3#59810C212yesmaximal, complemented
4#59568C212yesmaximal, complemented
5#59315C212yesmaximal, complemented
6#59229C212yesmaximal, complemented
7#59119C212yesmaximal, complemented
8#59115C212yesmaximal, complemented
9#59026C212yesmaximal, complemented
10#59018C212yesmaximal, complemented
11#44457C214yesmaximal, complemented
12#43547C214yesmaximal, complemented
13#43543C214yesmaximal, complemented
14#43504C214yesmaximal, complemented
15#39720C211yesmaximal, characteristic, complemented
16#39592C211yesmaximal, characteristic, complemented
17#38918C212yesmaximal, complemented
18#38916C211yesmaximal, characteristic, complemented
19#38906C212yesmaximal, complemented
20#38904C211yesmaximal, characteristic, complemented
21#37834C212yesmaximal, complemented
22#37646C212yesmaximal, complemented
23#36517C211yesmaximal, characteristic, complemented
24#36516C211yesmaximal, characteristic, complemented
25#36155C211yesmaximal, characteristic, complemented
26D4×#123C211yesmaximal, characteristic, complemented
27#35466C212yesmaximal, complemented
28#35451C212yesmaximal, complemented
29#35093C212yesmaximal, complemented
30#35031C211yesmaximal, characteristic, complemented
31#34810C211yesmaximal, characteristic, complemented
32#34809C211yesmaximal, characteristic, complemented
33#34246C211yesmaximal, characteristic, complemented
34#34199C212yesmaximal, complemented
35C4×#534C211yesmaximal, characteristic, complemented
36#3519—216no—
37C2×#555—216no—
38C2×#555C2212yes—
39C2×#555C2214yescomplemented
40C2×#555C2211yescharacteristic, complemented
41C2×#555C2212yescomplemented
42C2×#555C2212yescomplemented
43C2×#555C2212yescomplemented
44C2×#555C2214yescomplemented
45C2×#554C2211yescharacteristic
46C2×#553C2211yescharacteristic
47C2×#553C2212yescomplemented
48C2×#553C2211yescharacteristic, complemented
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×#532C2211yescharacteristic, complemented
61C22×C4⋊Q8C2211yescharacteristic, complemented
62C2×#529C2211yescharacteristic, complemented
63C22×#124C2212yescomplemented
64C22×#124C2212yescomplemented
65C2×#525C2211yescharacteristic
66C2×#525C2211yescharacteristic, complemented
67C22×#123C2212yes—
68C22×#121C2211yescharacteristic
69C22×#121C2211yescharacteristic, complemented
70C22×#121C2212yescomplemented
71C22×#121C2211yescharacteristic, complemented
72C2×#518C2212yes—
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2211yescharacteristic, complemented
75C22×C4×D4C2211yescharacteristic, complemented
76C22×#117C2212yescomplemented
77C22×#117C2211yescharacteristic, complemented
78C22×#117C2211yescharacteristic, complemented
79#2855C2212yescomplemented
80#2855C2211yescharacteristic, complemented
81#2854C2212yescomplemented
82#2854C2211yescharacteristic, complemented
83#2849C2212yescomplemented
84#2849C2212yescomplemented
85#2848C2211yescharacteristic, complemented
86#2847C2211yescharacteristic, complemented
87#2717C2214yescomplemented
88#2717C2214yescomplemented
89#2716C2214yescomplemented
90#2713C2214yescomplemented
91#2708C2214yescomplemented
92#2701C2214yescomplemented
93#2699C2214yescomplemented
94#2688C2214yescomplemented
95#2688C2214yescomplemented
96#2686C2214yescomplemented
97#2686C2214yescomplemented
98#2686C2214yescomplemented
99#2686C2214yescomplemented
100#2686C2214yescomplemented
101#2684C2214yescomplemented
102#2684C2214yescomplemented
103#2682C2214yescomplemented
104#2678C2214yescomplemented
105#2677C2214yescomplemented
106#2674C2214yescomplemented
107#2673C2214yescomplemented
108#2671C2214yescomplemented
109#2671C2214yescomplemented
110#2668C2214yescomplemented
111#2627C2212yescomplemented
112#2622C2212yescomplemented
113#2622C2212yescomplemented
114#2622C2212yescomplemented
115#2618C2212yescomplemented
116#2613C2212yescomplemented
117#2602C2214yescomplemented
118#2600C2214yescomplemented
119#2561C2212yescomplemented
120#2557C2214yescomplemented
121#2557C2214yescomplemented
122#2555C2214yescomplemented
123#2555C2214yescomplemented
124#2551C2212yescomplemented
125#2550C2212yescomplemented
126#2547C2214yescomplemented
127#2544C2214yescomplemented
128#2543C2214yescomplemented
129#2539C2212yescomplemented
130#2537C2212yescomplemented
131#2535C2212yescomplemented
132#2534C2212yes—
133#2534C2212yescomplemented
134#2521C2214yescomplemented
135#2521C2214yescomplemented
136#2504C2211yescharacteristic, complemented
137#2503C2211yescharacteristic, complemented
138#2502C2211yescharacteristic, complemented
139#2501C2211yescharacteristic, complemented
140#2500C2212yescomplemented
141#2499C2212yescomplemented
142#2498C2214yescomplemented
143#2492C2212yescomplemented
144#2491C2214yescomplemented
145#2491C2212yescomplemented
146#2491C2214yescomplemented
147#2487C2211yescharacteristic
148#2487C2211yescharacteristic, complemented
149#2486C2211yescharacteristic
150#2486C2211yescharacteristic, complemented
151#2485C2212yescomplemented
152#2485C2212yescomplemented
153#2485C2212yescomplemented
154#2484C2212yescomplemented
155#2483C2212yescomplemented
156#2483C2212yescomplemented
157#2482C2212yescomplemented
158#2479C2214yescomplemented
159#2478C2214yescomplemented
160#2478C2214yescomplemented
161#2477C2214yescomplemented
162#2476C2214yescomplemented
163#2476C2214yescomplemented
164#2475C2214yescomplemented
165#2474C2214yescomplemented
166#2474C2214yescomplemented
167#2474C2214yescomplemented
168#2474C2214yescomplemented
169#2472C2214yescomplemented
170#2472C2214yescomplemented
171#2471C2214yescomplemented
172#2470C2214yescomplemented
173#2470C2214yescomplemented
174#2461C2214yescomplemented
175#2461C2214yescomplemented
176#2459C2214yescomplemented
177#2459C2214yescomplemented
178#2452C2212yescomplemented
179#2451C2212yescomplemented
180#2447C2214yescomplemented
181#2447C2214yescomplemented
182#2447C2212yescomplemented
183#2445C2212yescomplemented
184#2444C2214yescomplemented
185#2444C2214yescomplemented
186#2443C2214yescomplemented
187#2443C2214yescomplemented
188#2441C2212yescomplemented
189#2440C2212yescomplemented
190#2439C2212yescomplemented
191#2439C2212yescomplemented
192#2436C2212yescomplemented
193#2435C2214yescomplemented
194#2434C2212yescomplemented
195#2432C2214yescomplemented
196#2430C2214yescomplemented
197#2428C2212yescomplemented
198#2427C2212yescomplemented
199#2427C2214yescomplemented
200#2427C2214yescomplemented
201#2425C2214yescomplemented
202#2424C2214yescomplemented
203#2422C2212yescomplemented
204#2422C2212yescomplemented
205#2420C2212yescomplemented
206#2420C2212yescomplemented
207#2419C2214yescomplemented
208#2418C2214yescomplemented
209#2416C2214yescomplemented
210#2415C2212yescomplemented
211#2415C2212yescomplemented
212#2414C2212yescomplemented
213#2414C2212yescomplemented
214#2412C2212yescomplemented
215#2412C2212yescomplemented
216#2412C2212yescomplemented
217#2412C2212yescomplemented
218#2410C2212yescomplemented
219#2410C2214yescomplemented
220#2410C2212yescomplemented
221#2409C2212yes—
222#2409C2212yescomplemented
223#2408C2212yescomplemented
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226#2405C2212yes—
227#2405C2212yes—
228#2405C2212yescomplemented
229#2403C2212yes—
230#2395C2214yescomplemented
231#2395C2212yescomplemented
232#2395C2212yescomplemented
233#2364C2214yescomplemented
234#2363C2212yescomplemented
235#2363C2212yescomplemented
236#2363C2212yescomplemented
237#2362C2212yescomplemented
238#2359C2214yescomplemented
239#2359C2214yescomplemented
240#2359C2214yescomplemented
241#2359C2214yescomplemented
242#2354C2212yescomplemented
243#2352C2212yescomplemented
244#2349C2212yescomplemented
245D4×C4⋊C4C2212yescomplemented
246#2345C2211yescharacteristic, complemented
247#2345C2211yescharacteristic, complemented
248#2344C2214yescomplemented
249#2344C2214yescomplemented
250#2342C2214yescomplemented
251#2342C2214yescomplemented
252#2339C2212yescomplemented
253D4×C22⋊C4C2211yescharacteristic, complemented
254D4×C22⋊C4C2212yescomplemented
255D4×C22⋊C4C2211yescharacteristic, complemented
256D4×C22⋊C4C2212yescomplemented
257D4×C22⋊C4C2212yescomplemented
258#2333C2214yescomplemented
259#2325C2212yescomplemented
260#2325C2212yescomplemented
261#2322C2212yes—
262#2322C2211yescharacteristic
263#2322C2211yescharacteristic, complemented
264#2322C2212yescomplemented
265#2322C2212yescomplemented
266#2322C2212yescomplemented
267#2321C2211yescharacteristic
268#2321C2212yescomplemented
269#2321C2211yescharacteristic, complemented
270#2321C2212yescomplemented
271#2315C2212yescomplemented
272#2315C2211yescharacteristic, complemented
273#2312C2212yescomplemented
274#2308C2211yescharacteristic
275#2308C2212yes—
276#2308C2211yescharacteristic, complemented
277C4×#123C2211yescharacteristic
278C4×#123C2212yes—
279C4×#123C2212yes—
280C4×#123C2212yescomplemented
281C4×#123C2212yescomplemented
282C4×#123C2212yescomplemented
283C4×#123C2211yescharacteristic, complemented
284C4×#123C2212yescomplemented
285C4×#123C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290C4×#120C2211yescharacteristic
291C4×#120C2211yescharacteristic, complemented
292C4×#120C2212yescomplemented
293#2297C2212yescomplemented
294#2296C2212yescomplemented
295#2285C2212yescomplemented
296#2280C2212yescomplemented
297#2280C2211yescharacteristic, complemented
298C2×#381C2212yescomplemented
299#2273C2212yescomplemented
300C2×C4×C22⋊C4C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C23×Q8C2312yes—
305C23×D4C2311yescharacteristic
306C23×D4C2312yes—
307C23×D4C2311yescharacteristic
308C23×D4C2311yescharacteristic
309C23×D4C2312yes—
310C23×D4C2312yes—
311C23×D4C2311yescharacteristic
312C23×D4C2312yes—
313C24×C4C2312yes—
314C24×C4C2311yescharacteristic
315C24×C4C2311yescharacteristic
316C24×C4C2311yescharacteristic
317#555—216no—
318#555—216no—
319#555—232no—
320#555—232no—
321#555—216no—
322#555—216no—
323#555—28no—
324#554—28no—
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#532—28no—
340C2×C4⋊Q8—28no—
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2314yes—
346C2×#127C2312yes—
347C2×#127C2311yescharacteristic
348#529—28no—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#124—216no—
355C2×#124—216no—
356C2×#124C2314yes—
357C2×#124C2314yes—
358C2×#124C2314yes—
359C2×#124C2314yes—
360C2×#124C2314yes—
361C2×#124C2314yes—
362C2×#124C2314yes—
363C2×#124C2314yes—
364C2×#124C2311yescharacteristic
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2314yes—
369#525—28no—
370#525—28no—
371C2×#123—216no—
372C2×#123C2312yes—
373C2×#123C2311yescharacteristic
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2314yes—
389C2×#123C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×#121—28no—
399C2×#121—216no—
400C2×#121—28no—
401C2×#121D4116yescomplemented
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2311yescharacteristic
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2311yescharacteristic
410C2×#121C2314yes—
411C2×#121C2311yescharacteristic
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2311yescharacteristic
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#120C2311yescharacteristic
437C2×#120C2312yes—
438C2×#120C2311yescharacteristic
439C2×#120C2312yes—
440C2×#120C2312yes—
441C2×#120C2312yes—
442C2×#120C2312yes—
443C2×#120C2312yes—
444C2×#120C2312yes—
445C2×#120C2312yes—
446C2×#120C2314yes—
447#518—216no—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×D4—28no—
450C2×C4×D4—28no—
451C2×C4×D4—28no—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2314yes—
486C2×#117—28no—
487C2×#117—28no—
488C2×#117—216no—
489C2×#117C2314yes—
490C2×#117C2314yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2314yes—
497C2×#117C2314yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2314yes—
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C2×#117C2312yes—
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2311yescharacteristic
508C22×C4⋊C4C2314yes—
509C22×C4⋊C4C2311yescharacteristic
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2311yescharacteristic
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2311yescharacteristic
516C22×C22⋊C4C2311yescharacteristic
517C22×C22⋊C4C2312yes—
518C22×C22⋊C4C2311yescharacteristic
519C22×C22⋊C4C2312yes—
520C22×C22⋊C4C2311yescharacteristic
521C22×C22⋊C4C2311yescharacteristic
522C22×C22⋊C4C2314yes—
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2312yes—
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2311yescharacteristic
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2312yes—
530C22×C42C2312yes—
531C22×C42C2311yescharacteristic
532C22×C42C2312yes—
533C22×C42C2311yescharacteristic
534C22×C42C2312yes—
535#400C2314yes—
536#400C2314yes—
537#400C2312yes—
538#400C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2314yes—
542#399C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2312yes—
548#398C2312yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2312yes—
560#397C2314yes—
561#397C2314yes—
562#397C2312yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#395C2314yes—
572#395C2314yes—
573#395C2314yes—
574#395C2314yes—
575#395C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
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#393C2314yes—
600#393C2314yes—
601#393C2314yes—
602#393C2314yes—
603#393C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#391C2312yes—
612#391C2312yes—
613#391C2314yes—
614#391C2312yes—
615#391C2314yes—
616#391C2314yes—
617#391C2314yes—
618#391C2314yes—
619#390C2312yes—
620#390C2312yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2314yes—
630#390C2314yes—
631#390C2312yes—
632#389C2312yes—
633#389C2314yes—
634#389C2312yes—
635#389C2314yes—
636#389C2314yes—
637#389C2312yes—
638#389C2314yes—
639#389C2312yes—
640#389C2314yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#387C2312yes—
678#387C2314yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#386C2311yescharacteristic
696#386C2311yescharacteristic
697#386C2311yescharacteristic
698#386C2312yes—
699#386C2312yes—
700#386C2311yescharacteristic
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
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#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#385C2311yescharacteristic
740#385C2311yescharacteristic
741#385C2311yescharacteristic
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2311yescharacteristic
746#385C2312yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2312yes—
751#385C2312yes—
752#385C2314yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2312yes—
766#385C2312yes—
767#385C2314yes—
768#385C2314yes—
769#384C2312yes—
770#384C2312yes—
771#382C2312yes—
772#382C2312yes—
773#381C2312yes—
774#381C2312yes—
775#381C2312yes—
776#381C2314yes—
777#381C2311yescharacteristic
778#381C2311yescharacteristic
779#381C2312yes—
780#381C2312yes—
781#381C2312yes—
782#381C2314yes—
783#381C2314yes—
784#381C2314yes—
785#381C2314yes—
786#381C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2311yescharacteristic
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2314yes—
800#380C2314yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2314yes—
805#380C2314yes—
806#379C2311yescharacteristic
807#379C2312yes—
808#379C2312yes—
809#379C2314yes—
810#379C2311yescharacteristic
811#379C2312yes—
812#379C2312yes—
813#379C2312yes—
814#379C2314yes—
815#379C2314yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2311yescharacteristic
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⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850C2×#95C2312yes—
851C2×#95C2314yes—
852C2×#95C2314yes—
853C25C2411yescharacteristic
854C25C2412yes—
855C25C2411yescharacteristic
856C25C2412yes—
857C25C2411yescharacteristic
858C2×#41—24no—
859C2×#41—28no—
860C2×#41—24no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—84no—
864C22×Q8—28no—
865C22×Q8—84no—
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2414yes—
869C22×Q8C2414yes—
870C22×D4—24no—
871C22×D4—24no—
872C22×D4—28no—
873C22×D4—28no—
874C22×D4—28no—
875C22×D4—24no—
876C22×D4—24no—
877C22×D4—28no—
878C22×D4—24no—
879C22×D4—44no—
880C22×D4—44no—
881C22×D4—42no—
882C22×D4—44no—
883C22×D4—42no—
884C22×D4—84no—
885C22×D4—84no—
886C22×D4—84no—
887C22×D4C2×D418yes—
888C22×D4C2×D4116yes—
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2411yescharacteristic
899C22×D4C2411yescharacteristic
900C22×D4C2411yescharacteristic
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2414yes—
909C22×D4C2412yes—
910C22×D4C2414yes—
911C22×D4C2412yes—
912C22×D4C2414yes—
913C22×D4C2412yes—
914C22×D4C2412yes—
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2412yes—
918C23×C4—28no—
919C23×C4—24no—
920C23×C4—28no—
921C23×C4—24no—
922C23×C4—44no—
923C23×C4—44no—
924C23×C4—44no—
925C23×C4—44no—
926C23×C4C2×D418yes—
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2414yes—
932C23×C4C2412yes—
933C23×C4C2411yescharacteristic
934C23×C4C2414yes—
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C23×C4C2411yescharacteristic
941C23×C4C2412yes—
942C23×C4C2414yes—
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2411yescharacteristic
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2412yes—
949C23×C4C2412yes—
950C23×C4C2412yes—
951C23×C4C2412yes—
952C23×C4C2412yes—
953C23×C4C2411yescharacteristic
954C23×C4C2414yes—
955C23×C4C2412yes—
956C23×C4C2411yescharacteristic
957C23×C4C2412yes—
958C23×C4C2411yescharacteristic
959C23×C4C2411yescharacteristic
960C4⋊Q8—28no—
961C4⋊Q8—28no—
962C4⋊Q8—216no—
963C4⋊Q8—24no—
964C4⋊Q8—84no—
965#127—24no—
966#127—28no—
967#126—28no—
968#126—28no—
969#126—28no—
970#125—24no—
971#125—28no—
972#124—216no—
973#124—216no—
974#124—216no—
975#124—216no—
976#124—24no—
977#124—28no—
978#124—216no—
979#124—216no—
980#124—216no—
981#124—216no—
982#124—28no—
983#124—28no—
984#124—84no—
985#123—28no—
986#123—28no—
987#123—28no—
988#123—28no—
989#123—28no—
990#123—28no—
991#123—24no—
992#123—28no—
993#123—216no—
994#123—28no—
995#123—28no—
996#123—28no—
997#123—216no—
998#123—28no—
999#123—44no—
1000#123—44no—
1001#123—84no—
1002#123#4118yescomplemented
1003C22⋊Q8—24no—
1004C22⋊Q8—24no—
1005C22⋊Q8—28no—
1006C22⋊Q8—24no—
1007C22⋊Q8—28no—
1008C22⋊Q8—44no—
1009C22⋊Q8—84no—
1010C22⋊Q8—84no—
1011#121—28no—
1012#121—24no—
1013#121—28no—
1014#121—28no—
1015#121—216no—
1016#121—216no—
1017#121—216no—
1018#121—216no—
1019#121—216no—
1020#121—24no—
1021#121—28no—
1022#121—28no—
1023#121—28no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—24no—
1029#121—24no—
1030#121—28no—
1031#121—24no—
1032#121—28no—
1033#121—28no—
1034#121—28no—
1035#121—28no—
1036#121—44no—
1037#121—84no—
1038#121—84no—
1039#121C2×D418yes—
1040#121C2×D418yes—
1041#121C2×D4116yes—
1042#121C2×D4116yes—
1043#121C2×D418yes—
1044#121C2×D418yes—
1045#120—28no—
1046#120—28no—
1047#120—28no—
1048#120—28no—
1049#120—28no—
1050#120—28no—
1051#120—24no—
1052#120—28no—
1053#120—24no—
1054#120—44no—
1055#120—84no—
1056C4×Q8—24no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—216no—
1060C4×D4—28no—
1061C4×D4—28no—
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—24no—
1071C4×D4—24no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—24no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—28no—
1084C4×D4—28no—
1085C4×D4—44no—
1086C4×D4—44no—
1087C4×D4—44no—
1088C4×D4—44no—
1089C4×D4—84no—
1090C4×D4—84no—
1091#117—28no—
1092#117—28no—
1093#117—28no—
1094#117—28no—
1095#117—24no—
1096#117—28no—
1097#117—28no—
1098#117—216no—
1099#117—24no—
1100#117—216no—
1101#117—216no—
1102#117—216no—
1103#117—216no—
1104#117—28no—
1105#117—28no—
1106#117—44no—
1107C2×C4⋊C4—24no—
1108C2×C4⋊C4—24no—
1109C2×C4⋊C4—28no—
1110C2×C4⋊C4—24no—
1111C2×C4⋊C4—24no—
1112C2×C4⋊C4—24no—
1113C2×C4⋊C4—216no—
1114C2×C4⋊C4C2×D418yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2411yescharacteristic
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C22⋊C4—28no—
1162C2×C22⋊C4—28no—
1163C2×C22⋊C4—24no—
1164C2×C22⋊C4—28no—
1165C2×C22⋊C4—24no—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4—28no—
1168C2×C22⋊C4—24no—
1169C2×C22⋊C4—24no—
1170C2×C22⋊C4—28no—
1171C2×C22⋊C4—28no—
1172C2×C22⋊C4—28no—
1173C2×C22⋊C4—216no—
1174C2×C22⋊C4—24no—
1175C2×C22⋊C4—44no—
1176C2×C22⋊C4—42no—
1177C2×C22⋊C4C2×D4116yes—
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2411yescharacteristic
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2411yescharacteristic
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2411yescharacteristic
1258C2×C22⋊C4C2412yes—
1259C2×C42—28no—
1260C2×C42—28no—
1261C2×C42—24no—
1262C2×C42—24no—
1263C2×C42—44no—
1264C2×C42C2414yes—
1265C2×C42C2414yes—
1266C2×C42C2414yes—
1267C2×C42C2414yes—
1268C2×C42C2411yescharacteristic
1269C2×C42C2412yes—
1270C2×C42C2412yes—
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#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2414yes—
1310#95C2412yes—
1311#95C2414yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329C24—24no—
1330C24—22no—
1331C24—24no—
1332C24—22no—
1333C24—22no—
1334C24—22no—
1335C24—24no—
1336C24—24no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—42no—
1341C24—42no—
1342C24—44no—
1343C24—41no—
1344C24—42no—
1345C24—44no—
1346C24—42no—
1347C24—42no—
1348C24—42no—
1349C24—42no—
1350C24—44no—
1351C24—44no—
1352C24C22×D414yes—
1353C24C22×D418yes—
1354C24C2512yes—
1355C24C2512yes—
1356C24C2511yescharacteristic
1357C24C2511yescharacteristic
1358C24C2512yes—
1359C24C2512yes—
1360C24C2511yescharacteristic
1361C24C2511yescharacteristic
1362C24C2511yescharacteristic
1363#41—88no—
1364#41—88no—
1365#41—816no—
1366C2×Q8—22no—
1367C2×Q8—24no—
1368C2×Q8—28no—
1369C2×Q8—28no—
1370C2×Q8—24no—
1371C2×Q8—44no—
1372C2×Q8—44no—
1373C2×Q8—44no—
1374C2×Q8—44no—
1375C2×Q8—44no—
1376C2×Q8—816no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—22no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—28no—
1400C2×D4—28no—
1401C2×D4—24no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—22no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—416no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—41no—
1420C2×D4—42no—
1421C2×D4—41no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—416no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—42no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—432no—
1444C2×D4—416no—
1445C2×D4—88no—
1446C2×D4—816no—
1447C2×D4—816no—
1448C2×D4—816no—
1449C2×D4C22×D414yes—
1450C2×D4C22×D414yes—
1451C2×D4C22×D418yes—
1452C2×D4C22×D418yes—
1453C2×D4C22×D418yes—
1454C2×D4C22×D418yes—
1455C2×D4C22×D418yes—
1456C2×D4C2×#4114yes—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—22no—
1463C22×C4—24no—
1464C22×C4—22no—
1465C22×C4—24no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—28no—
1469C22×C4—28no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—22no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—22no—
1480C22×C4—28no—
1481C22×C4—24no—
1482C22×C4—28no—
1483C22×C4—22no—
1484C22×C4—24no—
1485C22×C4—24no—
1486C22×C4—24no—
1487C22×C4—24no—
1488C22×C4—22no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—22no—
1493C22×C4—28no—
1494C22×C4—24no—
1495C22×C4—416no—
1496C22×C4—42no—
1497C22×C4—42no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—41no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—42no—
1509C22×C4—42no—
1510C22×C4—42no—
1511C22×C4—42no—
1512C22×C4—42no—
1513C22×C4—44no—
1514C22×C4—42no—
1515C22×C4—42no—
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—432no—
1529C22×C4—416no—
1530C22×C4—88no—
1531C22×C4C22×D414yes—
1532C22×C4C22×D414yes—
1533C22×C4C22×D414yes—
1534C22×C4C22×D414yes—
1535C22×C4C22×D418yes—
1536C22×C4C22×D414yes—
1537C22×C4C22×D414yes—
1538C22×C4C2×#4114yes—
1539C22×C4C2512yes—
1540C22×C4C2512yes—
1541C22×C4C2514yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2512yes—
1544C22×C4C2511yescharacteristic
1545C22×C4C2514yes—
1546C22×C4C2512yes—
1547C22×C4C2514yes—
1548C22×C4C2512yes—
1549C22×C4C2512yes—
1550C22×C4C2511yescharacteristic
1551C22×C4C2512yes—
1552C22×C4C2511yescharacteristic
1553C22×C4C2511yescharacteristic
1554C22×C4C2514yes—
1555C22×C4C2512yes—
1556C22×C4C2511yescharacteristic
1557C22×C4C2511yescharacteristic
1558C22×C4C2511yescharacteristic
1559C22×C4C2512yes—
1560C22×C4C2512yes—
1561C22×C4C2512yes—
1562C22×C4C2511yescharacteristic
1563C22×C4C2512yes—
1564C22×C4C2511yescharacteristic
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—22no—
1570C4⋊C4—28no—
1571C4⋊C4—28no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—22no—
1575C4⋊C4—22no—
1576C4⋊C4—22no—
1577C4⋊C4—22no—
1578C4⋊C4—24no—
1579C4⋊C4—22no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—24no—
1583C4⋊C4—24no—
1584C4⋊C4—24no—
1585C4⋊C4—24no—
1586C4⋊C4—24no—
1587C4⋊C4—28no—
1588C4⋊C4—28no—
1589C4⋊C4—28no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—42no—
1594C4⋊C4—42no—
1595C4⋊C4—44no—
1596C4⋊C4—44no—
1597C4⋊C4—44no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—42no—
1601C4⋊C4—44no—
1602C4⋊C4—44no—
1603C4⋊C4—44no—
1604C4⋊C4—44no—
1605C4⋊C4—44no—
1606C4⋊C4—42no—
1607C4⋊C4C22×D414yes—
1608C4⋊C4C22×D414yes—
1609C4⋊C4C22×D418yes—
1610C4⋊C4C2×#4118yes—
1611C22⋊C4—22no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—28no—
1616C22⋊C4—28no—
1617C22⋊C4—28no—
1618C22⋊C4—22no—
1619C22⋊C4—24no—
1620C22⋊C4—22no—
1621C22⋊C4—22no—
1622C22⋊C4—24no—
1623C22⋊C4—28no—
1624C22⋊C4—24no—
1625C22⋊C4—28no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—22no—
1633C22⋊C4—24no—
1634C22⋊C4—28no—
1635C22⋊C4—22no—
1636C22⋊C4—24no—
1637C22⋊C4—22no—
1638C22⋊C4—22no—
1639C22⋊C4—28no—
1640C22⋊C4—28no—
1641C22⋊C4—22no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—22no—
1645C22⋊C4—24no—
1646C22⋊C4—22no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—28no—
1654C22⋊C4—28no—
1655C22⋊C4—28no—
1656C22⋊C4—24no—
1657C22⋊C4—24no—
1658C22⋊C4—24no—
1659C22⋊C4—42no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—42no—
1665C22⋊C4—44no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—42no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—42no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—42no—
1685C22⋊C4—42no—
1686C22⋊C4C22×D418yes—
1687C22⋊C4C22×D418yes—
1688C22⋊C4C22×D418yes—
1689C22⋊C4C22×D418yes—
1690C22⋊C4C2×#4114yes—
1691C22⋊C4C2×#4118yes—
1692C42—28no—
1693C42—28no—
1694C42—28no—
1695C42—28no—
1696C42—22no—
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—21no—
1719C23—22no—
1720C23—22no—
1721C23—21no—
1722C23—22no—
1723C23—24no—
1724C23—24no—
1725C23—22no—
1726C23—22no—
1727C23—21no—
1728C23—21no—
1729C23—22no—
1730C23—22no—
1731C23—24no—
1732C23—24no—
1733C23—22no—
1734C23—216no—
1735C23—28no—
1736C23—22no—
1737C23—21no—
1738C23—22no—
1739C23—22no—
1740C23—21no—
1741C23—22no—
1742C23—21no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—24no—
1749C23—24no—
1750C23—22no—
1751C23—22no—
1752C23—22no—
1753C23—44no—
1754C23—48no—
1755C23—44no—
1756C23—48no—
1757C23—44no—
1758C23—48no—
1759C23—44no—
1760C23—44no—
1761C23—44no—
1762C23—44no—
1763C23—82no—
1764C23—84no—
1765C23—88no—
1766C23—84no—
1767C23—84no—
1768C23—88no—
1769C23—84no—
1770C23—84no—
1771C23—84no—
1772C23—84no—
1773C23—88no—
1774C23—84no—
1775C23—164no—
1776C23C23×D412yes—
1777C23C23×D414yes—
1778C23C23×D412yes—
1779C23C23×D414yes—
1780C23C23×D412yes—
1781C23C22×#4112yes—
1782C23C22×#4112yes—
1783C23#58512yes—
1784C23C2611yescharacteristic
1785Q8—44no—
1786Q8—88no—
1787Q8—88no—
1788Q8—84no—
1789D4—28no—
1790D4—28no—
1791D4—28no—
1792D4—48no—
1793D4—48no—
1794D4—48no—
1795D4—48no—
1796D4—48no—
1797D4—48no—
1798D4—48no—
1799D4—48no—
1800D4—44no—
1801D4—48no—
1802D4—44no—
1803D4—48no—
1804D4—44no—
1805D4—48no—
1806D4—44no—
1807D4—84no—
1808D4—84no—
1809D4—84no—
1810D4—84no—
1811D4—88no—
1812D4—88no—
1813D4—84no—
1814D4—84no—
1815D4—84no—
1816D4—84no—
1817D4—164no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—24no—
1828C2×C4—24no—
1829C2×C4—28no—
1830C2×C4—28no—
1831C2×C4—28no—
1832C2×C4—28no—
1833C2×C4—22no—
1834C2×C4—24no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—24no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—21no—
1845C2×C4—24no—
1846C2×C4—22no—
1847C2×C4—24no—
1848C2×C4—21no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—24no—
1854C2×C4—24no—
1855C2×C4—22no—
1856C2×C4—24no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—24no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—24no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—24no—
1868C2×C4—24no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—24no—
1873C2×C4—24no—
1874C2×C4—22no—
1875C2×C4—24no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—44no—
1879C2×C4—44no—
1880C2×C4—44no—
1881C2×C4—48no—
1882C2×C4—416no—
1883C2×C4—416no—
1884C2×C4—48no—
1885C2×C4—44no—
1886C2×C4—48no—
1887C2×C4—44no—
1888C2×C4—48no—
1889C2×C4—44no—
1890C2×C4—44no—
1891C2×C4—48no—
1892C2×C4—48no—
1893C2×C4—44no—
1894C2×C4—44no—
1895C2×C4—88no—
1896C2×C4—84no—
1897C2×C4—82no—
1898C2×C4—82no—
1899C2×C4—84no—
1900C2×C4—84no—
1901C2×C4—84no—
1902C2×C4—82no—
1903C2×C4—84no—
1904C2×C4—84no—
1905C2×C4—84no—
1906C2×C4—164no—
1907C2×C4C23×D412yes—
1908C2×C4C23×D412yes—
1909C2×C4C23×D414yes—
1910C2×C4C23×D414yes—
1911C2×C4C23×D412yes—
1912C2×C4C23×D412yes—
1913C2×C4C22×#4114yes—
1914C2×C4C22×#4114yes—
1915C2×C4C22×#4112yes—
1916C2×C4#58514yes—
1917C22—24no—
1918C22—22no—
1919C22—22no—
1920C22—24no—
1921C22—24no—
1922C22—22no—
1923C22—22no—
1924C22—24no—
1925C22—24no—
1926C22—22no—
1927C22—24no—
1928C22—22no—
1929C22—24no—
1930C22—24no—
1931C22—24no—
1932C22—22no—
1933C22—22no—
1934C22—22no—
1935C22—42no—
1936C22—44no—
1937C22—44no—
1938C22—42no—
1939C22—41no—
1940C22—41no—
1941C22—42no—
1942C22—44no—
1943C22—42no—
1944C22—44no—
1945C22—42no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—44no—
1950C22—42no—
1951C22—41no—
1952C22—42no—
1953C22—42no—
1954C22—41no—
1955C22—42no—
1956C22—42no—
1957C22—44no—
1958C22—42no—
1959C22—42no—
1960C22—42no—
1961C22—41no—
1962C22—42no—
1963C22—88no—
1964C22—816no—
1965C22—88no—
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—24no—
1981C4—22no—
1982C4—44no—
1983C4—42no—
1984C4—42no—
1985C4—41no—
1986C4—41no—
1987C4—42no—
1988C4—41no—
1989C4—41no—
1990C4—44no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—42no—
1995C4—44no—
1996C4—44no—
1997C4—41no—
1998C4—42no—
1999C4#348514yes—
2000C2—24no—
2001C2—42no—
2002C2—44no—
2003C2—42no—
2004C2—44no—
2005C2—42no—
2006C2—82no—
2007C2—81no—
2008C2—82no—
2009C2C2×D4×#4111yescharacteristic
2010C2C2×#348511yescharacteristic
2011C2#6284211yescharacteristic
2012C2#6291012yes—
2013C2#6299412yes—
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×#555C2semidirect
3. #59810C2semidirect
4. #59568C2semidirect
5. #59315C2semidirect
6. #59229C2semidirect
7. #59119C2semidirect
8. #59115C2semidirect
9. #59026C2semidirect
10. #59018C2semidirect
11. #44457C2semidirect
12. #43547C2semidirect
13. #43543C2semidirect
14. #43504C2semidirect
15. #39720C2semidirect
16. #39592C2semidirect
17. #38918C2semidirect
18. #38916C2semidirect
19. #38906C2semidirect
20. #38904C2semidirect
21. #37834C2semidirect
22. #37646C2semidirect
23. #36517C2semidirect
24. #36516C2semidirect
25. #36155C2semidirect
26. D4×#123C2semidirect
27. #35466C2semidirect
28. #35451C2semidirect
29. #35093C2semidirect
30. #35031C2semidirect
31. #34810C2semidirect
32. #34809C2semidirect
33. #34246C2semidirect
34. #34199C2semidirect
35. C4×#534C2semidirect
39. C2×#555C22semidirect
40. C2×#555C22semidirect
41. C2×#555C22semidirect
42. C2×#555C22semidirect
43. C2×#555C22semidirect
44. C2×#555C22semidirect
47. C2×#553C22semidirect
48. C2×#553C22semidirect
49. C2×#550C22semidirect
52. C2×#546C22semidirect
53. C2×#546C22semidirect
56. C2×#540C22semidirect
58. C2×#538C22semidirect
60. C2×#532C22semidirect
61. C22×C4⋊Q8C22semidirect
62. C2×#529C22semidirect
63. C22×#124C22semidirect
64. C22×#124C22semidirect
66. C2×#525C22semidirect
69. C22×#121C22semidirect
70. C22×#121C22semidirect
71. C22×#121C22semidirect
74. C22×C4×D4C22semidirect
75. C22×C4×D4C22semidirect
76. C22×#117C22semidirect
77. C22×#117C22semidirect
78. C22×#117C22semidirect
79. #2855C22semidirect
80. #2855C22semidirect
81. #2854C22semidirect
82. #2854C22semidirect
83. #2849C22semidirect
84. #2849C22semidirect
85. #2848C22semidirect
86. #2847C22semidirect
87. #2717C22semidirect
88. #2717C22semidirect
89. #2716C22semidirect
90. #2713C22semidirect
91. #2708C22semidirect
92. #2701C22semidirect
93. #2699C22semidirect
94. #2688C22semidirect
95. #2688C22semidirect
96. #2686C22semidirect
97. #2686C22semidirect
98. #2686C22semidirect
99. #2686C22semidirect
100. #2686C22semidirect
101. #2684C22semidirect
102. #2684C22semidirect
103. #2682C22semidirect
104. #2678C22semidirect
105. #2677C22semidirect
106. #2674C22semidirect
107. #2673C22semidirect
108. #2671C22semidirect
109. #2671C22semidirect
110. #2668C22semidirect
111. #2627C22semidirect
112. #2622C22semidirect
113. #2622C22semidirect
114. #2622C22semidirect
115. #2618C22semidirect
116. #2613C22semidirect
117. #2602C22semidirect
118. #2600C22semidirect
119. #2561C22semidirect
120. #2557C22semidirect
121. #2557C22semidirect
122. #2555C22semidirect
123. #2555C22semidirect
124. #2551C22semidirect
125. #2550C22semidirect
126. #2547C22semidirect
127. #2544C22semidirect
128. #2543C22semidirect
129. #2539C22semidirect
130. #2537C22semidirect
131. #2535C22semidirect
133. #2534C22semidirect
134. #2521C22semidirect
135. #2521C22semidirect
136. #2504C22semidirect
137. #2503C22semidirect
138. #2502C22semidirect
139. #2501C22semidirect
140. #2500C22semidirect
141. #2499C22semidirect
142. #2498C22semidirect
143. #2492C22semidirect
144. #2491C22semidirect
145. #2491C22semidirect
146. #2491C22semidirect
148. #2487C22semidirect
150. #2486C22semidirect
151. #2485C22semidirect
152. #2485C22semidirect
153. #2485C22semidirect
154. #2484C22semidirect
155. #2483C22semidirect
156. #2483C22semidirect
157. #2482C22semidirect
158. #2479C22semidirect
159. #2478C22semidirect
160. #2478C22semidirect
161. #2477C22semidirect
162. #2476C22semidirect
163. #2476C22semidirect
164. #2475C22semidirect
165. #2474C22semidirect
166. #2474C22semidirect
167. #2474C22semidirect
168. #2474C22semidirect
169. #2472C22semidirect
170. #2472C22semidirect
171. #2471C22semidirect
172. #2470C22semidirect
173. #2470C22semidirect
174. #2461C22semidirect
175. #2461C22semidirect
176. #2459C22semidirect
177. #2459C22semidirect
178. #2452C22semidirect
179. #2451C22semidirect
180. #2447C22semidirect
181. #2447C22semidirect
182. #2447C22semidirect
183. #2445C22semidirect
184. #2444C22semidirect
185. #2444C22semidirect
186. #2443C22semidirect
187. #2443C22semidirect
188. #2441C22semidirect
189. #2440C22semidirect
190. #2439C22semidirect
191. #2439C22semidirect
192. #2436C22semidirect
193. #2435C22semidirect
194. #2434C22semidirect
195. #2432C22semidirect
196. #2430C22semidirect
197. #2428C22semidirect
198. #2427C22semidirect
199. #2427C22semidirect
200. #2427C22semidirect
201. #2425C22semidirect
202. #2424C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2420C22semidirect
206. #2420C22semidirect
207. #2419C22semidirect
208. #2418C22semidirect
209. #2416C22semidirect
210. #2415C22semidirect
211. #2415C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2412C22semidirect
215. #2412C22semidirect
216. #2412C22semidirect
217. #2412C22semidirect
218. #2410C22semidirect
219. #2410C22semidirect
220. #2410C22semidirect
222. #2409C22semidirect
223. #2408C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
228. #2405C22semidirect
230. #2395C22semidirect
231. #2395C22semidirect
232. #2395C22semidirect
233. #2364C22semidirect
234. #2363C22semidirect
235. #2363C22semidirect
236. #2363C22semidirect
237. #2362C22semidirect
238. #2359C22semidirect
239. #2359C22semidirect
240. #2359C22semidirect
241. #2359C22semidirect
242. #2354C22semidirect
243. #2352C22semidirect
244. #2349C22semidirect
245. D4×C4⋊C4C22semidirect
246. #2345C22semidirect
247. #2345C22semidirect
248. #2344C22semidirect
249. #2344C22semidirect
250. #2342C22semidirect
251. #2342C22semidirect
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. #2315C22semidirect
273. #2312C22semidirect
276. #2308C22semidirect
280. C4×#123C22semidirect
281. C4×#123C22semidirect
282. C4×#123C22semidirect
283. C4×#123C22semidirect
284. C4×#123C22semidirect
285. C4×#123C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
291. C4×#120C22semidirect
292. C4×#120C22semidirect
293. #2297C22semidirect
294. #2296C22semidirect
295. #2285C22semidirect
296. #2280C22semidirect
297. #2280C22semidirect
298. C2×#381C22semidirect
299. #2273C22semidirect
300. C2×C4×C22⋊C4C22semidirect
401. C2×#121D4semidirect
1002. #123#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C22×#5552
#598102
#595682
#593152
#592292
#591192
#591152
#590262
#590182
#444572
#435472
#435432
#435042
#397202
#395922
#389182
#389162
#389062
#389042
#378342
#376462
#365172
#365162
#361552
D4×#1232
#354662
#354512
#350932
#350312
#348102
#348092
#342462
#341992
C4×#5342