Finite Group Databasebeta

← #7689494

Subgroups — #7689494

Order 512.

7804 conjugacy classes of subgroups.

The subgroup lattice has 1979 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#59657C212yesmaximal, complemented
4#59655C211yesmaximal, characteristic, complemented
5#59104C212yesmaximal, complemented
6#59084C211yesmaximal, characteristic, complemented
7#59083C212yesmaximal, complemented
8#59058C212yesmaximal, complemented
9#59057C211yesmaximal, characteristic, complemented
10#58999C214yesmaximal, complemented
11#45263C212yesmaximal, complemented
12#45018C212yesmaximal, complemented
13#43925C214yesmaximal, complemented
14#43115C214yesmaximal, complemented
15#39953C212yesmaximal, complemented
16#39876C212yesmaximal, complemented
17#39361C211yesmaximal, characteristic, complemented
18#38910C211yesmaximal, characteristic, complemented
19#37803C214yesmaximal, complemented
20#37797C212yesmaximal, complemented
21#36595C211yesmaximal, characteristic, complemented
22#36580C211yesmaximal, characteristic, complemented
23#36493C211yesmaximal, characteristic, complemented
24#36441C212yesmaximal, complemented
25#36410C211yesmaximal, characteristic, complemented
26#36136C212yesmaximal, complemented
27#36128C211yesmaximal, characteristic, complemented
28#36102C212yesmaximal, complemented
29#35793C212yesmaximal, complemented
30#35768C212yesmaximal, complemented
31#34724C211yesmaximal, characteristic, complemented
32#34681C212yesmaximal, complemented
33#34317C211yesmaximal, characteristic, complemented
34#34265C212yesmaximal, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36#3522—216no—
37#3481—216no—
38C2×#559C2212yes—
39C2×#559C2211yescharacteristic
40C2×#559C2211yescharacteristic, complemented
41C2×Q82C2211yescharacteristic, complemented
42C2×#554C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#554C2212yescomplemented
45C2×#553C2212yes—
46C2×#553C2212yes—
47C2×#551C2214yes—
48C2×#550C2211yescharacteristic
49C2×#550C2212yescomplemented
50C2×#548C2211yescharacteristic
51C2×#548C2212yescomplemented
52C2×#547C2212yescomplemented
53C2×#547C2214yescomplemented
54C2×#546C2212yes—
55C2×#546C2212yes—
56C2×D42C2211yescharacteristic
57C2×#542C2214yescomplemented
58C2×#542C2212yescomplemented
59C2×#535C2212yes—
60C2×#532C2211yescharacteristic
61C2×#532C2212yes—
62C2×#532C2211yescharacteristic, complemented
63C2×#529C2212yes—
64C2×#529C2211yescharacteristic
65C2×#529C2212yes—
66C2×#529C2212yescomplemented
67C2×#525C2214yes—
68C2×#525C2214yescomplemented
69C2×#520C2212yescomplemented
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C22×C4×Q8C2211yescharacteristic, complemented
73C22×C4×D4C2212yes—
74C22×C4×D4C2212yes—
75#2867C2211yescharacteristic
76#2858C2212yescomplemented
77#2856C2211yescharacteristic
78#2856C2211yescharacteristic, complemented
79#2854C2212yescomplemented
80#2850C2212yescomplemented
81#2850C2212yescomplemented
82#2849C2214yescomplemented
83#2731C2214yescomplemented
84#2730C2214yescomplemented
85#2729C2214yescomplemented
86#2727C2214yescomplemented
87#2723C2214yescomplemented
88#2714C2214yescomplemented
89#2710C2214yescomplemented
90#2710C2214yescomplemented
91#2706C2214yescomplemented
92#2703C2214yescomplemented
93#2696C2214yescomplemented
94#2685C2214yes—
95#2681C2214yescomplemented
96#2678C2214yes—
97#2678C2214yescomplemented
98#2676C2214yescomplemented
99#2670C2214yescomplemented
100#2670C2214yescomplemented
101#2669C2214yes—
102#2669C2214yes—
103#2669C2214yescomplemented
104#2661C2214yescomplemented
105#2635C2214yescomplemented
106#2624C2212yes—
107#2619C2212yes—
108#2602C2214yescomplemented
109#2600C2214yescomplemented
110#2592C2212yescomplemented
111#2582C2211yescharacteristic, complemented
112#2580C2212yescomplemented
113#2560C2214yescomplemented
114#2560C2214yescomplemented
115#2554C2214yescomplemented
116#2554C2214yescomplemented
117#2550C2212yescomplemented
118#2548C2211yescharacteristic
119#2548C2211yescharacteristic
120#2548C2212yescomplemented
121#2548C2211yescharacteristic, complemented
122#2548C2212yescomplemented
123#2548C2212yescomplemented
124#2544C2212yescomplemented
125#2544C2212yescomplemented
126#2541C2211yescharacteristic
127#2541C2212yescomplemented
128#2541C2212yescomplemented
129#2540C2212yes—
130#2540C2214yescomplemented
131#2540C2212yescomplemented
132#2540C2212yescomplemented
133#2538C2211yescharacteristic
134#2535C2212yescomplemented
135#2492C2212yescomplemented
136#2491C2212yescomplemented
137#2491C2212yescomplemented
138#2490C2212yes—
139#2490C2212yescomplemented
140#2481C2214yescomplemented
141#2479C2214yescomplemented
142#2479C2214yescomplemented
143#2478C2212yescomplemented
144#2477C2214yescomplemented
145#2476C2214yescomplemented
146#2472C2214yescomplemented
147#2472C2214yescomplemented
148#2471C2214yescomplemented
149#2471C2214yescomplemented
150#2470C2212yescomplemented
151#2467C2214yescomplemented
152#2466C2212yescomplemented
153#2464C2214yescomplemented
154#2464C2214yescomplemented
155#2463C2214yescomplemented
156#2463C2214yescomplemented
157#2461C2214yescomplemented
158#2461C2214yescomplemented
159#2459C2214yescomplemented
160#2458C2214yescomplemented
161#2456C2214yescomplemented
162#2456C2214yescomplemented
163#2456C2214yescomplemented
164#2456C2214yescomplemented
165#2455C2214yescomplemented
166#2455C2212yescomplemented
167#2454C2212yescomplemented
168#2453C2212yescomplemented
169#2453C2211yescharacteristic, complemented
170#2452C2212yes—
171#2452C2212yescomplemented
172#2452C2212yescomplemented
173#2448C2212yescomplemented
174#2448C2212yescomplemented
175#2447C2211yescharacteristic
176#2445C2212yes—
177#2445C2214yescomplemented
178#2445C2214yescomplemented
179#2445C2214yescomplemented
180#2443C2214yescomplemented
181#2443C2214yescomplemented
182#2441C2211yescharacteristic, complemented
183#2440C2212yescomplemented
184#2436C2212yescomplemented
185#2435C2212yes—
186#2433C2212yes—
187#2433C2212yes—
188#2433C2212yes—
189#2432C2211yescharacteristic
190#2432C2214yescomplemented
191#2431C2212yes—
192#2431C2212yes—
193#2431C2212yes—
194#2431C2212yescomplemented
195#2431C2212yescomplemented
196#2431C2214yescomplemented
197#2429C2212yescomplemented
198#2429C2214yescomplemented
199#2429C2211yescharacteristic, complemented
200#2428C2212yes—
201#2428C2212yes—
202#2428C2212yes—
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2428C2214yescomplemented
208#2427C2212yescomplemented
209#2426C2212yescomplemented
210#2426C2212yescomplemented
211#2424C2214yescomplemented
212#2422C2211yescharacteristic
213#2418C2214yescomplemented
214#2416C2212yescomplemented
215#2415C2214yescomplemented
216#2415C2211yescharacteristic, complemented
217#2414C2212yes—
218#2414C2214yescomplemented
219#2414C2212yescomplemented
220#2411C2214yescomplemented
221#2408C2212yes—
222#2408C2212yes—
223#2407C2211yescharacteristic
224#2407C2212yescomplemented
225#2407C2214yescomplemented
226#2404C2214yescomplemented
227#2395C2212yescomplemented
228#2392C2214yescomplemented
229#2392C2212yescomplemented
230#2388C2214yescomplemented
231#2370C2212yescomplemented
232#2369C2211yescharacteristic, complemented
233#2367C2212yes—
234#2367C2211yescharacteristic
235#2367C2212yescomplemented
236#2367C2212yescomplemented
237#2367C2212yescomplemented
238#2367C2212yescomplemented
239#2367C2212yescomplemented
240#2366C2212yes—
241#2366C2212yes—
242#2366C2212yescomplemented
243#2366C2212yescomplemented
244#2366C2212yescomplemented
245#2366C2212yescomplemented
246#2363C2212yescomplemented
247#2363C2214yescomplemented
248#2363C2214yescomplemented
249#2363C2212yescomplemented
250#2363C2214yescomplemented
251#2362C2214yescomplemented
252#2362C2212yescomplemented
253#2362C2212yescomplemented
254#2362C2211yescharacteristic, complemented
255#2361C2211yescharacteristic
256#2361C2212yescomplemented
257#2361C2212yescomplemented
258#2361C2214yescomplemented
259#2361C2212yescomplemented
260#2361C2214yescomplemented
261#2360C2212yescomplemented
262#2357C2212yes—
263#2355C2211yescharacteristic, complemented
264#2354C2211yescharacteristic
265#2352C2212yescomplemented
266#2352C2211yescharacteristic, complemented
267#2351C2211yescharacteristic, complemented
268#2344C2212yescomplemented
269#2341C2211yescharacteristic
270Q8×C22⋊C4C2211yescharacteristic, complemented
271#2332C2214yescomplemented
272#2323C2212yescomplemented
273#2321C2214yescomplemented
274#2321C2214yescomplemented
275#2309C2212yes—
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2212yescomplemented
279C4×#125C2212yescomplemented
280C4×#124C2211yescharacteristic
281C4×#124C2212yescomplemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×C22⋊Q8C2212yescomplemented
284C4×C22⋊Q8C2211yescharacteristic, complemented
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×#123C2212yescomplemented
287C4×#121C2211yescharacteristic
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290C4×#121C2212yescomplemented
291C4×#120C2214yescomplemented
292C4×#120C2214yescomplemented
293#2297C2212yescomplemented
294#2296C2212yescomplemented
295#2293C2212yes—
296#2293C2211yescharacteristic
297#2274C2212yescomplemented
298C42×Q8C2211yescharacteristic, complemented
299C42×D4C2211yescharacteristic, complemented
300C42×D4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2314yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×Q8C2311yescharacteristic
308C23×D4C2312yes—
309C23×D4C2312yes—
310C24×C4C2314yes—
311#559—28no—
312#559—28no—
313#559—216no—
314Q82—28no—
315#554—28no—
316#554—216no—
317#554D4116yescomplemented
318#553—216no—
319#553—216no—
320#551—232no—
321#550—28no—
322#550—48no—
323#548—28no—
324#548—216no—
325#547—232no—
326#547—216no—
327#546—216no—
328#546—216no—
329D42—28no—
330#542—216no—
331#542—232no—
332#535—216no—
333#532—28no—
334#532—28no—
335#532—216no—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×#127C2311yescharacteristic
342C2×#127C2311yescharacteristic
343C2×#127C2312yes—
344C2×#127C2312yes—
345C2×#127C2312yes—
346C2×#127C2312yes—
347C2×#127C2312yes—
348C2×#127C2312yes—
349C2×#127C2312yes—
350C2×#127C2314yes—
351C2×#127C2312yes—
352#529—216no—
353#529—216no—
354#529—216no—
355#529—28no—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2314yes—
369C2×#124C2311yescharacteristic
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2311yescharacteristic
378#525—232no—
379#525—416no—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×#121C2312yes—
407C2×#121C2311yescharacteristic
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2311yescharacteristic
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2314yes—
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435C2×#120C2314yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438C2×#120C2314yes—
439C2×#120C2314yes—
440#520—216no—
441C4×#41—28no—
442C4×#41—28no—
443C2×C4×Q8—28no—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×D4—216no—
460C2×C4×D4—216no—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2314yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2314yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2312yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2314yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2314yes—
497C2×C4×D4C2314yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2311yescharacteristic
505C2×#117C2314yes—
506C2×#117C2314yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2314yes—
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2314yes—
514C22×C4⋊C4C2312yes—
515C22×C22⋊C4C2314yes—
516C22×C22⋊C4C2314yes—
517C22×C42C2312yes—
518C22×C42C2312yes—
519C22×C42C2312yes—
520C22×C42C2311yescharacteristic
521C22×C42C2311yescharacteristic
522#400C2314yes—
523#400C2312yes—
524#399C2314yes—
525#399C2314yes—
526#399C2314yes—
527#399C2312yes—
528#399C2314yes—
529#398C2312yes—
530#398C2314yes—
531#398C2314yes—
532#398C2312yes—
533#398C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2312yes—
538#397C2312yes—
539#397C2314yes—
540#397C2312yes—
541#397C2312yes—
542#396C2314yes—
543#396C2312yes—
544#396C2314yes—
545#396C2312yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#395C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2312yes—
559#394C2314yes—
560#394C2312yes—
561#394C2314yes—
562#394C2312yes—
563#394C2312yes—
564#394C2314yes—
565#394C2312yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#393C2314yes—
577#393C2314yes—
578#393C2314yes—
579#393C2314yes—
580#393C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2312yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#391C2312yes—
601#391C2314yes—
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2314yes—
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#391C2311yescharacteristic
612#391C2311yescharacteristic
613#391C2312yes—
614#390C2314yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2314yes—
619#390C2311yescharacteristic
620#390C2312yes—
621#390C2314yes—
622#390C2314yes—
623#390C2312yes—
624#390C2312yes—
625#390C2314yes—
626#390C2314yes—
627#390C2314yes—
628#390C2314yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2314yes—
641#390C2314yes—
642#390C2314yes—
643#390C2312yes—
644#390C2311yescharacteristic
645#390C2312yes—
646#390C2312yes—
647#390C2314yes—
648#390C2314yes—
649#390C2314yes—
650#390C2314yes—
651#390C2312yes—
652#390C2312yes—
653#390C2314yes—
654#390C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2314yes—
662#389C2311yescharacteristic
663#389C2312yes—
664#389C2312yes—
665#389C2311yescharacteristic
666#389C2314yes—
667#389C2312yes—
668#389C2311yescharacteristic
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2314yes—
676#389C2312yes—
677#389C2311yescharacteristic
678#389C2311yescharacteristic
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2312yes—
685#388C2312yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2312yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2314yes—
710#388C2312yes—
711#388C2312yes—
712#388C2312yes—
713#388C2314yes—
714#388C2312yes—
715#388C2314yes—
716#387C2312yes—
717#387C2312yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2312yes—
724#387C2314yes—
725#387C2312yes—
726#387C2312yes—
727#387C2312yes—
728#387C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2312yes—
746#386C2312yes—
747#386C2312yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2312yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#385C2312yes—
759#385C2312yes—
760#385C2314yes—
761#385C2314yes—
762#385C2312yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2312yes—
767#385C2314yes—
768#385C2312yes—
769#385C2314yes—
770#385C2314yes—
771#385C2312yes—
772#385C2312yes—
773#385C2312yes—
774#385C2312yes—
775#385C2312yes—
776#384C2311yescharacteristic
777#384C2311yescharacteristic
778#382C2312yes—
779#382C2311yescharacteristic
780#382C2312yes—
781#381C2314yes—
782#381C2312yes—
783#380C2312yes—
784#380C2311yescharacteristic
785#380C2312yes—
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2311yescharacteristic
789#380C2314yes—
790#380C2312yes—
791#380C2311yescharacteristic
792#379C2314yes—
793#379C2314yes—
794#379C2314yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2311yescharacteristic
847C43C2312yes—
848C43C2311yescharacteristic
849C25C2414yes—
850C2×#41—24no—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—216no—
858C2×#41—44no—
859C2×#41—48no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—42no—
863C2×#41—42no—
864C2×#41—42no—
865C2×#41—82no—
866C2×#41—84no—
867C2×#41—82no—
868C22×Q8—24no—
869C22×Q8—24no—
870C22×Q8—42no—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2414yes—
877C22×Q8C2412yes—
878C22×D4—28no—
879C22×D4—28no—
880C22×D4—28no—
881C22×D4—44no—
882C22×D4—44no—
883C22×D4—44no—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2412yes—
907C22×D4C2414yes—
908C22×D4C2412yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C23×C4—216no—
912C23×C4—48no—
913C23×C4—84no—
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2414yes—
923C23×C4C2412yes—
924C23×C4C2414yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2414yes—
931C23×C4C2414yes—
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C4⋊Q8—216no—
936C4⋊Q8—28no—
937C4⋊Q8—28no—
938C4⋊Q8—42no—
939C4⋊Q8C2×D418yes—
940#127—28no—
941#127—28no—
942#127—24no—
943#127—24no—
944#127—28no—
945#127—44no—
946#127—44no—
947#127—44no—
948#127—44no—
949#127—48no—
950#127—82no—
951#126—216no—
952#126—216no—
953#126—216no—
954#126—28no—
955#125—28no—
956#125—24no—
957#125C2×D4116yes—
958#124—28no—
959#124—28no—
960#124—28no—
961#124—28no—
962#124—28no—
963#124—24no—
964#124—216no—
965#124—216no—
966#124—28no—
967#124—28no—
968#124—28no—
969#124—44no—
970#124—44no—
971#124—84no—
972#124#4118yescomplemented
973#123—216no—
974#123—216no—
975#123—216no—
976#123—216no—
977#123—216no—
978#123—216no—
979#123—216no—
980#123—28no—
981#123—216no—
982#123—28no—
983#123—48no—
984C22⋊Q8—216no—
985C22⋊Q8—24no—
986C22⋊Q8—24no—
987C22⋊Q8—28no—
988C22⋊Q8—216no—
989C22⋊Q8—216no—
990C22⋊Q8—216no—
991C22⋊Q8—28no—
992C22⋊Q8—48no—
993C22⋊Q8—48no—
994C22⋊Q8—42no—
995C22⋊Q8—42no—
996C22⋊Q8—44no—
997C22⋊Q8C2×D4132yes—
998C22⋊Q8C2×D4116yes—
999#121—24no—
1000#121—24no—
1001#121—216no—
1002#121—28no—
1003#121—28no—
1004#121—216no—
1005#121—28no—
1006#121—28no—
1007#121—28no—
1008#121—28no—
1009#121—28no—
1010#121—216no—
1011#121—216no—
1012#121—216no—
1013#121—216no—
1014#121—28no—
1015#121—216no—
1016#121—44no—
1017#121—48no—
1018#121—48no—
1019#121—44no—
1020#121—44no—
1021#121—44no—
1022#121—44no—
1023#121—44no—
1024#121—44no—
1025#121—44no—
1026#120—216no—
1027#120—216no—
1028#120—216no—
1029#120—216no—
1030#120—48no—
1031#120—48no—
1032#120—84no—
1033C4×Q8—24no—
1034C4×Q8—24no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—24no—
1038C4×Q8—28no—
1039C4×Q8—28no—
1040C4×Q8—24no—
1041C4×Q8—28no—
1042C4×Q8—24no—
1043C4×Q8—24no—
1044C4×Q8—24no—
1045C4×Q8—44no—
1046C4×Q8—42no—
1047C4×Q8C2×D418yes—
1048C4×D4—24no—
1049C4×D4—216no—
1050C4×D4—28no—
1051C4×D4—216no—
1052C4×D4—216no—
1053C4×D4—28no—
1054C4×D4—24no—
1055C4×D4—216no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—216no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—216no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—216no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—24no—
1072C4×D4—28no—
1073C4×D4—24no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—24no—
1077C4×D4—48no—
1078C4×D4—44no—
1079C4×D4—42no—
1080C4×D4—48no—
1081C4×D4—48no—
1082C4×D4—48no—
1083C4×D4—84no—
1084C4×D4—84no—
1085C4×D4C2×D4116yes—
1086C4×D4C2×D418yes—
1087#117—28no—
1088#117—28no—
1089#117—24no—
1090#117—24no—
1091#117—216no—
1092#117—216no—
1093#117—28no—
1094#117—28no—
1095#117—48no—
1096#117—44no—
1097C2×C4⋊C4—28no—
1098C2×C4⋊C4—28no—
1099C2×C4⋊C4—24no—
1100C2×C4⋊C4—216no—
1101C2×C4⋊C4C2×D4116yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2414yes—
1157C2×C22⋊C4—216no—
1158C2×C22⋊C4—216no—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2411yescharacteristic
1231C2×C42—28no—
1232C2×C42—28no—
1233C2×C42—24no—
1234C2×C42—28no—
1235C2×C42—24no—
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2414yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251C2×C42C2412yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2412yes—
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2414yes—
1261C2×C42C2414yes—
1262C2×C42C2412yes—
1263C2×C42C2414yes—
1264C2×C42C2414yes—
1265C2×C42C2412yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268C2×C42C2411yescharacteristic
1269C2×C42C2411yescharacteristic
1270#95C2412yes—
1271#95C2411yescharacteristic
1272#95C2411yescharacteristic
1273#95C2412yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2411yescharacteristic
1278#95C2412yes—
1279#95C2412yes—
1280#95C2411yescharacteristic
1281#95C2412yes—
1282#95C2411yescharacteristic
1283#95C2412yes—
1284#95C2411yescharacteristic
1285#95C2412yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2414yes—
1316C24—28no—
1317C24—28no—
1318C24—44no—
1319C24—44no—
1320C24—44no—
1321C24—44no—
1322C24—44no—
1323C24C2514yes—
1324C24C2514yes—
1325C24C2511yescharacteristic
1326C24C2512yes—
1327C24C2512yes—
1328C24C2511yescharacteristic
1329#41—432no—
1330#41—416no—
1331#41—416no—
1332#41—816no—
1333#41—832no—
1334#41—816no—
1335C2×Q8—22no—
1336C2×Q8—22no—
1337C2×Q8—24no—
1338C2×Q8—22no—
1339C2×Q8—28no—
1340C2×Q8—22no—
1341C2×Q8—24no—
1342C2×Q8—22no—
1343C2×Q8—22no—
1344C2×Q8—22no—
1345C2×Q8—22no—
1346C2×Q8—22no—
1347C2×Q8—22no—
1348C2×Q8—42no—
1349C2×Q8—42no—
1350C2×Q8—42no—
1351C2×Q8—44no—
1352C2×Q8—44no—
1353C2×Q8—416no—
1354C2×Q8C22×D414yes—
1355C2×Q8C22×D418yes—
1356C2×Q8C2×#4114yes—
1357C2×D4—24no—
1358C2×D4—28no—
1359C2×D4—28no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—28no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—28no—
1368C2×D4—28no—
1369C2×D4—28no—
1370C2×D4—28no—
1371C2×D4—28no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—28no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—28no—
1380C2×D4—24no—
1381C2×D4—28no—
1382C2×D4—24no—
1383C2×D4—22no—
1384C2×D4—28no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—28no—
1388C2×D4—28no—
1389C2×D4—28no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—432no—
1400C2×D4—41no—
1401C2×D4—42no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—42no—
1406C2×D4—44no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—44no—
1410C2×D4—42no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—42no—
1430C2×D4—42no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—432no—
1438C2×D4C22×D414yes—
1439C2×D4C2×#4114yes—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—24no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—24no—
1457C22×C4—22no—
1458C22×C4—28no—
1459C22×C4—28no—
1460C22×C4—24no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—28no—
1464C22×C4—24no—
1465C22×C4—22no—
1466C22×C4—28no—
1467C22×C4—24no—
1468C22×C4—22no—
1469C22×C4—24no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—28no—
1477C22×C4—28no—
1478C22×C4—28no—
1479C22×C4—28no—
1480C22×C4—44no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—42no—
1486C22×C4—44no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—41no—
1492C22×C4—41no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—832no—
1502C22×C4C22×D418yes—
1503C22×C4C22×D4116yes—
1504C22×C4C2511yescharacteristic
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2514yes—
1508C22×C4C2512yes—
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C22×C4C2512yes—
1512C22×C4C2511yescharacteristic
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2512yes—
1516C22×C4C2511yescharacteristic
1517C22×C4C2512yes—
1518C22×C4C2512yes—
1519C22×C4C2511yescharacteristic
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2512yes—
1523C22×C4C2511yescharacteristic
1524C22×C4C2512yes—
1525C22×C4C2514yes—
1526C22×C4C2511yescharacteristic
1527C22×C4C2511yescharacteristic
1528C22×C4C2512yes—
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C4⋊C4—24no—
1534C4⋊C4—22no—
1535C4⋊C4—24no—
1536C4⋊C4—28no—
1537C4⋊C4—28no—
1538C4⋊C4—24no—
1539C4⋊C4—22no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—22no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—28no—
1548C4⋊C4—22no—
1549C4⋊C4—24no—
1550C4⋊C4—28no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—22no—
1556C4⋊C4—24no—
1557C4⋊C4—22no—
1558C4⋊C4—28no—
1559C4⋊C4—22no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—22no—
1564C4⋊C4—24no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—24no—
1568C4⋊C4—44no—
1569C4⋊C4—41no—
1570C4⋊C4—42no—
1571C4⋊C4—44no—
1572C4⋊C4—42no—
1573C4⋊C4—42no—
1574C4⋊C4—42no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—42no—
1578C4⋊C4—44no—
1579C4⋊C4—42no—
1580C4⋊C4—42no—
1581C4⋊C4C22×D414yes—
1582C4⋊C4C22×D4116yes—
1583C4⋊C4C22×D418yes—
1584C4⋊C4C22×D418yes—
1585C4⋊C4C22×D418yes—
1586C4⋊C4C22×D414yes—
1587C4⋊C4C22×D4116yes—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—28no—
1596C22⋊C4—28no—
1597C22⋊C4—28no—
1598C22⋊C4—28no—
1599C22⋊C4—28no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—28no—
1606C22⋊C4—28no—
1607C22⋊C4—24no—
1608C22⋊C4—28no—
1609C22⋊C4—28no—
1610C22⋊C4—28no—
1611C22⋊C4—28no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—22no—
1615C22⋊C4—22no—
1616C22⋊C4—28no—
1617C22⋊C4—28no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—22no—
1622C22⋊C4—28no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—41no—
1628C22⋊C4—41no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—42no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—42no—
1647C22⋊C4—44no—
1648C22⋊C4—42no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4C22×D4116yes—
1656C22⋊C4C22×D418yes—
1657C22⋊C4C2×#4118yes—
1658C22⋊C4C2×#4118yes—
1659C22⋊C4H(5,𝔽2)14yes—
1660C42—22no—
1661C42—22no—
1662C42—22no—
1663C42—24no—
1664C42—24no—
1665C42—24no—
1666C42—22no—
1667C42—24no—
1668C42—24no—
1669C42—24no—
1670C42—22no—
1671C42—24no—
1672C42—22no—
1673C42—24no—
1674C42—28no—
1675C42—24no—
1676C42—24no—
1677C42—24no—
1678C42—24no—
1679C42—22no—
1680C42—24no—
1681C42—22no—
1682C42—22no—
1683C42—22no—
1684C42—44no—
1685C42—44no—
1686C42—44no—
1687C42—42no—
1688C42—44no—
1689C42—42no—
1690C42—41no—
1691C42C22×D418yes—
1692C42C22×D414yes—
1693C42C2×#4114yes—
1694C23—22no—
1695C23—21no—
1696C23—22no—
1697C23—21no—
1698C23—22no—
1699C23—22no—
1700C23—21no—
1701C23—21no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—21no—
1706C23—22no—
1707C23—22no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—21no—
1712C23—24no—
1713C23—24no—
1714C23—21no—
1715C23—21no—
1716C23—24no—
1717C23—24no—
1718C23—24no—
1719C23—21no—
1720C23—24no—
1721C23—21no—
1722C23—24no—
1723C23—24no—
1724C23—24no—
1725C23—24no—
1726C23—24no—
1727C23—24no—
1728C23—21no—
1729C23—21no—
1730C23—21no—
1731C23—24no—
1732C23—24no—
1733C23—416no—
1734C23—416no—
1735C23—88no—
1736C23—88no—
1737C23—88no—
1738C23—88no—
1739C23—88no—
1740C23C23×D414yes—
1741C23C22×#4114yes—
1742C23C2×H(5,𝔽2)12yes—
1743C23C2611yescharacteristic
1744Q8—28no—
1745Q8—28no—
1746Q8—48no—
1747Q8—48no—
1748Q8—44no—
1749Q8—44no—
1750Q8—88no—
1751D4—28no—
1752D4—28no—
1753D4—44no—
1754D4—416no—
1755D4—416no—
1756D4—48no—
1757D4—416no—
1758D4—48no—
1759D4—48no—
1760D4—416no—
1761D4—48no—
1762D4—48no—
1763D4—48no—
1764D4—48no—
1765D4—48no—
1766D4—88no—
1767D4—88no—
1768D4—88no—
1769D4—88no—
1770D4—84no—
1771D4—84no—
1772D4—88no—
1773D4—88no—
1774D4—88no—
1775D4—88no—
1776D4—164no—
1777D4—164no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—24no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—216no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—24no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—24no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—24no—
1836C2×C4—22no—
1837C2×C4—21no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—21no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—21no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—21no—
1850C2×C4—416no—
1851C2×C4—48no—
1852C2×C4—416no—
1853C2×C4—48no—
1854C2×C4—416no—
1855C2×C4—44no—
1856C2×C4—48no—
1857C2×C4—48no—
1858C2×C4—48no—
1859C2×C4—44no—
1860C2×C4—48no—
1861C2×C4—44no—
1862C2×C4—44no—
1863C2×C4—44no—
1864C2×C4—48no—
1865C2×C4—44no—
1866C2×C4—88no—
1867C2×C4—88no—
1868C2×C4—88no—
1869C2×C4—88no—
1870C2×C4C23×D414yes—
1871C2×C4C23×D414yes—
1872C2×C4C23×D412yes—
1873C2×C4C23×D414yes—
1874C2×C4C23×D418yes—
1875C2×C4C23×D412yes—
1876C2×C4C23×D412yes—
1877C2×C4C22×#4112yes—
1878C2×C4C22×#4112yes—
1879C2×C4C22×#4114yes—
1880C2×C4C22×#4112yes—
1881C2×C4C2×H(5,𝔽2)12yes—
1882C2×C4C2×H(5,𝔽2)12yes—
1883C2×C4#58512yes—
1884C2×C4#58512yes—
1885C2×C4#58512yes—
1886C22—22no—
1887C22—24no—
1888C22—24no—
1889C22—22no—
1890C22—24no—
1891C22—22no—
1892C22—24no—
1893C22—24no—
1894C22—24no—
1895C22—42no—
1896C22—41no—
1897C22—42no—
1898C22—42no—
1899C22—42no—
1900C22—41no—
1901C22—42no—
1902C22—42no—
1903C22—41no—
1904C22—41no—
1905C22—42no—
1906C22—42no—
1907C22—44no—
1908C22—41no—
1909C22—44no—
1910C22—44no—
1911C22—44no—
1912C22—41no—
1913C22—44no—
1914C22—44no—
1915C22—41no—
1916C22—41no—
1917C22—44no—
1918C22—44no—
1919C22—41no—
1920C22—44no—
1921C22—44no—
1922C22—44no—
1923C22—41no—
1924C22—44no—
1925C22—44no—
1926C22—44no—
1927C22—41no—
1928C22—832no—
1929C22C24×D411yescharacteristic
1930C22C23×#4111yescharacteristic
1931C22C22×H(5,𝔽2)11yescharacteristic
1932C22C2×#58511yescharacteristic
1933C22C2×#58511yescharacteristic
1934C22C2×#58511yescharacteristic
1935C22H(7,𝔽2)11yescharacteristic
1936C4—22no—
1937C4—24no—
1938C4—28no—
1939C4—22no—
1940C4—22no—
1941C4—22no—
1942C4—22no—
1943C4—24no—
1944C4—24no—
1945C4—24no—
1946C4—42no—
1947C4—41no—
1948C4—42no—
1949C4—42no—
1950C4—42no—
1951C4—44no—
1952C4—41no—
1953C4—41no—
1954C4—42no—
1955C4—42no—
1956C4—42no—
1957C4—42no—
1958C4—42no—
1959C4—41no—
1960C4—41no—
1961C4—42no—
1962C4—41no—
1963C4D4×#4114yes—
1964C4#348714yes—
1965C2—42no—
1966C2—44no—
1967C2—44no—
1968C2—81no—
1969C2—84no—
1970C2—84no—
1971C2C2×D4×#4111yescharacteristic
1972C2C2×#348711yescharacteristic
1973C2#6280011yescharacteristic
1974C2#6296911yescharacteristic
1975C2D4×H(5,𝔽2)11yescharacteristic
1976C2#6301011yescharacteristic
1977C2#6302111yescharacteristic
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×#3522C2semidirect
2. C2×#3481C2semidirect
3. #59657C2semidirect
4. #59655C2semidirect
5. #59104C2semidirect
6. #59084C2semidirect
7. #59083C2semidirect
8. #59058C2semidirect
9. #59057C2semidirect
10. #58999C2semidirect
11. #45263C2semidirect
12. #45018C2semidirect
13. #43925C2semidirect
14. #43115C2semidirect
15. #39953C2semidirect
16. #39876C2semidirect
17. #39361C2semidirect
18. #38910C2semidirect
19. #37803C2semidirect
20. #37797C2semidirect
21. #36595C2semidirect
22. #36580C2semidirect
23. #36493C2semidirect
24. #36441C2semidirect
25. #36410C2semidirect
26. #36136C2semidirect
27. #36128C2semidirect
28. #36102C2semidirect
29. #35793C2semidirect
30. #35768C2semidirect
31. #34724C2semidirect
32. #34681C2semidirect
33. #34317C2semidirect
34. #34265C2semidirect
35. C4×#548C2semidirect
40. C2×#559C22semidirect
41. C2×Q82C22semidirect
44. C2×#554C22semidirect
49. C2×#550C22semidirect
51. C2×#548C22semidirect
52. C2×#547C22semidirect
53. C2×#547C22semidirect
57. C2×#542C22semidirect
58. C2×#542C22semidirect
62. C2×#532C22semidirect
66. C2×#529C22semidirect
68. C2×#525C22semidirect
69. C2×#520C22semidirect
72. C22×C4×Q8C22semidirect
76. #2858C22semidirect
78. #2856C22semidirect
79. #2854C22semidirect
80. #2850C22semidirect
81. #2850C22semidirect
82. #2849C22semidirect
83. #2731C22semidirect
84. #2730C22semidirect
85. #2729C22semidirect
86. #2727C22semidirect
87. #2723C22semidirect
88. #2714C22semidirect
89. #2710C22semidirect
90. #2710C22semidirect
91. #2706C22semidirect
92. #2703C22semidirect
93. #2696C22semidirect
95. #2681C22semidirect
97. #2678C22semidirect
98. #2676C22semidirect
99. #2670C22semidirect
100. #2670C22semidirect
103. #2669C22semidirect
104. #2661C22semidirect
105. #2635C22semidirect
108. #2602C22semidirect
109. #2600C22semidirect
110. #2592C22semidirect
111. #2582C22semidirect
112. #2580C22semidirect
113. #2560C22semidirect
114. #2560C22semidirect
115. #2554C22semidirect
116. #2554C22semidirect
117. #2550C22semidirect
120. #2548C22semidirect
121. #2548C22semidirect
122. #2548C22semidirect
123. #2548C22semidirect
124. #2544C22semidirect
125. #2544C22semidirect
127. #2541C22semidirect
128. #2541C22semidirect
130. #2540C22semidirect
131. #2540C22semidirect
132. #2540C22semidirect
134. #2535C22semidirect
135. #2492C22semidirect
136. #2491C22semidirect
137. #2491C22semidirect
139. #2490C22semidirect
140. #2481C22semidirect
141. #2479C22semidirect
142. #2479C22semidirect
143. #2478C22semidirect
144. #2477C22semidirect
145. #2476C22semidirect
146. #2472C22semidirect
147. #2472C22semidirect
148. #2471C22semidirect
149. #2471C22semidirect
150. #2470C22semidirect
151. #2467C22semidirect
152. #2466C22semidirect
153. #2464C22semidirect
154. #2464C22semidirect
155. #2463C22semidirect
156. #2463C22semidirect
157. #2461C22semidirect
158. #2461C22semidirect
159. #2459C22semidirect
160. #2458C22semidirect
161. #2456C22semidirect
162. #2456C22semidirect
163. #2456C22semidirect
164. #2456C22semidirect
165. #2455C22semidirect
166. #2455C22semidirect
167. #2454C22semidirect
168. #2453C22semidirect
169. #2453C22semidirect
171. #2452C22semidirect
172. #2452C22semidirect
173. #2448C22semidirect
174. #2448C22semidirect
177. #2445C22semidirect
178. #2445C22semidirect
179. #2445C22semidirect
180. #2443C22semidirect
181. #2443C22semidirect
182. #2441C22semidirect
183. #2440C22semidirect
184. #2436C22semidirect
190. #2432C22semidirect
194. #2431C22semidirect
195. #2431C22semidirect
196. #2431C22semidirect
197. #2429C22semidirect
198. #2429C22semidirect
199. #2429C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
208. #2427C22semidirect
209. #2426C22semidirect
210. #2426C22semidirect
211. #2424C22semidirect
213. #2418C22semidirect
214. #2416C22semidirect
215. #2415C22semidirect
216. #2415C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2411C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2404C22semidirect
227. #2395C22semidirect
228. #2392C22semidirect
229. #2392C22semidirect
230. #2388C22semidirect
231. #2370C22semidirect
232. #2369C22semidirect
235. #2367C22semidirect
236. #2367C22semidirect
237. #2367C22semidirect
238. #2367C22semidirect
239. #2367C22semidirect
242. #2366C22semidirect
243. #2366C22semidirect
244. #2366C22semidirect
245. #2366C22semidirect
246. #2363C22semidirect
247. #2363C22semidirect
248. #2363C22semidirect
249. #2363C22semidirect
250. #2363C22semidirect
251. #2362C22semidirect
252. #2362C22semidirect
253. #2362C22semidirect
254. #2362C22semidirect
256. #2361C22semidirect
257. #2361C22semidirect
258. #2361C22semidirect
259. #2361C22semidirect
260. #2361C22semidirect
261. #2360C22semidirect
263. #2355C22semidirect
265. #2352C22semidirect
266. #2352C22semidirect
267. #2351C22semidirect
268. #2344C22semidirect
270. Q8×C22⋊C4C22semidirect
271. #2332C22semidirect
272. #2323C22semidirect
273. #2321C22semidirect
274. #2321C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×#127C22semidirect
279. C4×#125C22semidirect
281. C4×#124C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×#123C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#120C22semidirect
292. C4×#120C22semidirect
293. #2297C22semidirect
294. #2296C22semidirect
297. #2274C22semidirect
298. C42×Q8C22semidirect
299. C42×D4C22semidirect
300. C42×D4C22semidirect
317. #554D4semidirect
972. #124#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35222
C2×#34812
#596572
#596552
#591042
#590842
#590832
#590582
#590572
#589992
#452632
#450182
#439252
#431152
#399532
#398762
#393612
#389102
#378032
#377972
#365952
#365802
#364932
#364412
#364102
#361362
#361282
#361022
#357932
#357682
#347242
#346812
#343172
#342652
C4×#5482