Finite Group Databasebeta

← #7685999

Subgroups — #7685999

Order 512.

7792 conjugacy classes of subgroups.

The subgroup lattice has 1984 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3508C211yesmaximal, characteristic, complemented
2C2×#3517C211yesmaximal, characteristic, complemented
3#59419C212yesmaximal, complemented
4#59411C211yesmaximal, characteristic, complemented
5#59406C214yesmaximal, complemented
6#59129C212yesmaximal, complemented
7#59124C211yesmaximal, characteristic, complemented
8#59103C212yesmaximal, complemented
9#59097C212yesmaximal, complemented
10#59064C211yesmaximal, characteristic, complemented
11#44892C212yesmaximal, complemented
12#44880C212yesmaximal, complemented
13#43927C214yesmaximal, complemented
14#43923C214yesmaximal, complemented
15#39889C212yesmaximal, complemented
16#39888C212yesmaximal, complemented
17#39599C211yesmaximal, characteristic, complemented
18#39454C214yesmaximal, complemented
19#39416C212yesmaximal, complemented
20#39137C211yesmaximal, characteristic, complemented
21#36538C211yesmaximal, characteristic, complemented
22#36471C212yesmaximal, complemented
23#36410C211yesmaximal, characteristic, complemented
24#36404C211yesmaximal, characteristic, complemented
25#36218C212yesmaximal, complemented
26#36139C212yesmaximal, complemented
27#36125C211yesmaximal, characteristic, complemented
28#36121C211yesmaximal, characteristic, complemented
29#35823C212yesmaximal, complemented
30#35778C212yesmaximal, complemented
31#34937C212yesmaximal, complemented
32#34919C211yesmaximal, characteristic, complemented
33#34309C212yesmaximal, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36#3517—216no—
37#3508—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2212yes—
40C2×#559C2211yescharacteristic
41C2×#557C2211yescharacteristic, complemented
42C2×#553C2214yescomplemented
43C2×#553C2212yescomplemented
44C2×#550C2211yescharacteristic
45C2×#550C2212yes—
46C2×#550C2211yescharacteristic
47C2×#550C2211yescharacteristic
48C2×#550C2212yescomplemented
49C2×#550C2212yescomplemented
50C2×#547C2211yescharacteristic
51C2×#547C2211yescharacteristic, complemented
52C2×#547C2212yescomplemented
53C2×#546C2212yes—
54C2×#546C2214yes—
55C2×#546C2212yes—
56C2×#546C2212yes—
57C2×#546C2212yes—
58C2×#540C2214yes—
59C2×#540C2214yescomplemented
60C2×#540C2212yescomplemented
61C2×#535C2212yes—
62C2×#533C2211yescharacteristic
63C2×#532C2211yescharacteristic
64C2×#532C2212yes—
65C2×#532C2212yes—
66C2×#532C2212yescomplemented
67C2×#532C2212yescomplemented
68C22×#127C2211yescharacteristic
69C2×#529C2212yescomplemented
70C2×#529C2211yescharacteristic, complemented
71C2×#520C2212yescomplemented
72C2×#518C2212yes—
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic, complemented
75C2×C4×#41C2212yescomplemented
76#2861C2212yescomplemented
77#2858C2211yescharacteristic
78#2857C2211yescharacteristic
79#2856C2211yescharacteristic
80#2855C2212yescomplemented
81#2854C2214yescomplemented
82#2854C2212yescomplemented
83#2850C2212yescomplemented
84#2726C2214yescomplemented
85#2708C2214yescomplemented
86#2708C2214yescomplemented
87#2705C2214yescomplemented
88#2704C2214yes—
89#2701C2214yescomplemented
90#2701C2214yescomplemented
91#2701C2214yescomplemented
92#2699C2214yescomplemented
93#2699C2214yescomplemented
94#2699C2214yescomplemented
95#2697C2214yes—
96#2682C2214yescomplemented
97#2682C2214yescomplemented
98#2682C2214yescomplemented
99#2678C2214yes—
100#2678C2214yes—
101#2673C2214yes—
102#2673C2214yescomplemented
103#2671C2214yescomplemented
104#2669C2214yes—
105#2630C2214yescomplemented
106#2630C2214yescomplemented
107#2629C2212yes—
108#2620C2212yescomplemented
109#2602C2214yescomplemented
110#2602C2214yescomplemented
111#2584C2212yescomplemented
112#2582C2211yescharacteristic, complemented
113#2582C2212yescomplemented
114#2579C2214yescomplemented
115#2568C2211yescharacteristic, complemented
116#2566C2212yescomplemented
117#2560C2212yes—
118#2558C2214yescomplemented
119#2558C2212yescomplemented
120#2558C2214yescomplemented
121#2555C2214yescomplemented
122#2553C2214yescomplemented
123#2550C2211yescharacteristic, complemented
124#2548C2211yescharacteristic
125#2548C2212yescomplemented
126#2547C2212yescomplemented
127#2546C2211yescharacteristic, complemented
128#2546C2212yescomplemented
129#2545C2212yescomplemented
130#2545C2211yescharacteristic, complemented
131#2545C2212yescomplemented
132#2545C2212yescomplemented
133#2544C2212yes—
134#2544C2212yescomplemented
135#2543C2214yescomplemented
136#2543C2214yescomplemented
137#2543C2214yescomplemented
138#2541C2211yescharacteristic
139#2541C2212yes—
140#2540C2211yescharacteristic
141#2540C2212yescomplemented
142#2538C2211yescharacteristic, complemented
143#2537C2212yescomplemented
144#2536C2211yescharacteristic
145#2534C2214yes—
146#2534C2214yes—
147#2521C2214yescomplemented
148#2519C2212yescomplemented
149#2491C2211yescharacteristic, complemented
150#2489C2211yescharacteristic
151#2480C2214yes—
152#2476C2214yescomplemented
153#2474C2214yescomplemented
154#2470C2214yescomplemented
155#2470C2214yescomplemented
156#2468C2214yescomplemented
157#2464C2214yescomplemented
158#2464C2214yescomplemented
159#2464C2214yescomplemented
160#2464C2214yescomplemented
161#2464C2214yescomplemented
162#2461C2212yes—
163#2459C2214yescomplemented
164#2457C2214yes—
165#2455C2214yescomplemented
166#2454C2212yescomplemented
167#2451C2212yescomplemented
168#2447C2212yescomplemented
169#2447C2212yescomplemented
170#2447C2212yescomplemented
171#2445C2212yes—
172#2445C2212yes—
173#2445C2212yes—
174#2445C2212yescomplemented
175#2445C2212yescomplemented
176#2443C2214yescomplemented
177#2435C2212yes—
178#2433C2212yes—
179#2432C2212yescomplemented
180#2432C2212yescomplemented
181#2432C2212yescomplemented
182#2431C2212yes—
183#2431C2212yes—
184#2431C2212yescomplemented
185#2431C2214yescomplemented
186#2431C2212yescomplemented
187#2430C2214yescomplemented
188#2429C2212yes—
189#2429C2212yes—
190#2429C2211yescharacteristic, complemented
191#2428C2212yes—
192#2428C2212yes—
193#2428C2212yes—
194#2428C2212yescomplemented
195#2428C2214yescomplemented
196#2428C2212yescomplemented
197#2428C2212yescomplemented
198#2427C2212yescomplemented
199#2427C2212yescomplemented
200#2426C2211yescharacteristic
201#2426C2212yescomplemented
202#2425C2214yescomplemented
203#2425C2214yescomplemented
204#2425C2214yescomplemented
205#2424C2214yes—
206#2424C2214yes—
207#2424C2214yes—
208#2422C2212yescomplemented
209#2420C2212yescomplemented
210#2420C2214yescomplemented
211#2420C2212yescomplemented
212#2419C2214yescomplemented
213#2418C2214yes—
214#2416C2214yescomplemented
215#2416C2214yescomplemented
216#2415C2212yes—
217#2414C2212yescomplemented
218#2413C2214yescomplemented
219#2411C2214yes—
220#2410C2214yes—
221#2408C2212yes—
222#2408C2212yes—
223#2408C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yescomplemented
227#2406C2214yescomplemented
228#2396C2212yescomplemented
229#2392C2212yes—
230#2392C2214yescomplemented
231#2392C2214yescomplemented
232#2367C2212yescomplemented
233#2367C2212yescomplemented
234#2367C2212yescomplemented
235#2366C2211yescharacteristic
236#2366C2212yescomplemented
237#2365C2211yescharacteristic, complemented
238#2364C2214yescomplemented
239#2363C2212yescomplemented
240#2363C2214yescomplemented
241#2363C2212yescomplemented
242#2362C2211yescharacteristic
243#2362C2211yescharacteristic, complemented
244#2361C2212yes—
245#2361C2212yescomplemented
246#2361C2212yescomplemented
247#2360C2212yescomplemented
248#2359C2212yes—
249#2359C2214yescomplemented
250#2359C2212yescomplemented
251#2358C2214yes—
252#2354C2211yescharacteristic
253#2354C2211yescharacteristic, complemented
254#2354C2212yescomplemented
255#2352C2212yes—
256Q8×C4⋊C4C2211yescharacteristic, complemented
257#2349C2212yescomplemented
258#2349C2212yescomplemented
259D4×C4⋊C4C2211yescharacteristic, complemented
260#2344C2212yescomplemented
261#2342C2214yes—
262#2341C2212yescomplemented
263#2339C2211yescharacteristic
264#2339C2212yescomplemented
265#2339C2214yescomplemented
266#2339C2211yescharacteristic, complemented
267#2339C2212yescomplemented
268D4×C22⋊C4C2212yes—
269D4×C22⋊C4C2212yes—
270D4×C22⋊C4C2212yes—
271#2324C2212yescomplemented
272#2323C2212yes—
273#2322C2214yescomplemented
274#2321C2214yes—
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#127C2211yescharacteristic
277C4×#127C2212yescomplemented
278C4×#124C2212yescomplemented
279C4×#124C2211yescharacteristic, complemented
280C4×#124C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×#123C2212yes—
285C4×#123C2212yescomplemented
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2214yescomplemented
289C4×#121C2214yescomplemented
290C4×#121C2214yescomplemented
291C4×#121C2212yescomplemented
292#2297C2212yescomplemented
293#2297C2212yescomplemented
294#2293C2212yes—
295C2×#388C2214yes—
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2212yescomplemented
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C4⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2314yes—
308C22×#41C2312yes—
309C23×D4C2312yes—
310C23×D4C2312yes—
311C23×D4C2312yes—
312#559—28no—
313#559—28no—
314#559—216no—
315#557—28no—
316#553—232no—
317#553—216no—
318#550—216no—
319#550—28no—
320#550—216no—
321#550—216no—
322#550—28no—
323#550D4116yescomplemented
324#547—216no—
325#547—28no—
326#547—28no—
327#546—216no—
328#546—216no—
329#546—232no—
330#546—216no—
331#546—48no—
332#540—216no—
333#540—232no—
334#540—232no—
335#535—216no—
336#533—28no—
337#532—216no—
338#532—216no—
339#532—28no—
340#532—216no—
341#532—48no—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×#127—28no—
349C2×#127C2311yescharacteristic
350C2×#127C2314yes—
351C2×#127C2312yes—
352C2×#127C2312yes—
353C2×#127C2312yes—
354C2×#127C2312yes—
355C2×#127C2312yes—
356C2×#127C2312yes—
357C2×#127C2311yescharacteristic
358C2×#127C2312yes—
359#529—216no—
360#529—28no—
361C2×#126C2312yes—
362C2×#126C2314yes—
363C2×#125C2312yes—
364C2×#125C2311yescharacteristic
365C2×#125C2312yes—
366C2×#125C2314yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2314yes—
375C2×#124C2311yescharacteristic
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2311yescharacteristic
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2314yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437C2×#120C2314yes—
438C2×#120C2314yes—
439C2×#120C2314yes—
440C2×#120C2314yes—
441C2×#120C2314yes—
442#520—216no—
443#518—216no—
444C4×#41—28no—
445C4×#41—28no—
446C4×#41—48no—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2314yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2314yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2314yes—
495C2×C4×D4C2314yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2314yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2314yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C2×#117C2314yes—
508C2×#117C2312yes—
509C22×C4⋊C4C2314yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C22⋊C4C2314yes—
514C22×C22⋊C4C2314yes—
515C22×C22⋊C4C2314yes—
516C22×C22⋊C4C2314yes—
517C22×C42C2312yes—
518C22×C42C2312yes—
519C22×C42C2312yes—
520C22×C42C2311yescharacteristic
521C22×C42C2311yescharacteristic
522C22×C42C2314yes—
523#400C2314yes—
524#400C2312yes—
525#399C2312yes—
526#399C2314yes—
527#398C2312yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2312yes—
535#398C2312yes—
536#398C2314yes—
537#397C2312yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2312yes—
553#396C2312yes—
554#396C2312yes—
555#396C2312yes—
556#396C2314yes—
557#396C2314yes—
558#395C2314yes—
559#395C2312yes—
560#394C2312yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2312yes—
573#394C2312yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#393C2312yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2312yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#391C2312yes—
602#391C2311yescharacteristic
603#391C2311yescharacteristic
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2311yescharacteristic
609#391C2314yes—
610#391C2312yes—
611#391C2312yes—
612#391C2311yescharacteristic
613#391C2312yes—
614#391C2311yescharacteristic
615#391C2311yescharacteristic
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2312yes—
622#390C2312yes—
623#390C2314yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2314yes—
636#390C2312yes—
637#390C2314yes—
638#390C2314yes—
639#390C2312yes—
640#390C2314yes—
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2311yescharacteristic
645#390C2312yes—
646#390C2311yescharacteristic
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2314yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2314yes—
658#389C2311yescharacteristic
659#389C2314yes—
660#389C2314yes—
661#389C2311yescharacteristic
662#389C2314yes—
663#389C2311yescharacteristic
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2314yes—
668#389C2312yes—
669#389C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2314yes—
683#388C2312yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2314yes—
692#388C2314yes—
693#388C2312yes—
694#388C2312yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2312yes—
699#388C2312yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2312yes—
704#388C2312yes—
705#388C2314yes—
706#388C2312yes—
707#387C2312yes—
708#387C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2312yes—
712#387C2314yes—
713#387C2312yes—
714#387C2312yes—
715#387C2312yes—
716#387C2312yes—
717#386C2312yes—
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#386C2314yes—
731#386C2312yes—
732#386C2312yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2312yes—
762#385C2312yes—
763#385C2314yes—
764#385C2314yes—
765#385C2312yes—
766#385C2312yes—
767#385C2312yes—
768#384C2311yescharacteristic
769#384C2312yes—
770#384C2311yescharacteristic
771#382C2312yes—
772#382C2311yescharacteristic
773#382C2312yes—
774#381C2314yes—
775#381C2312yes—
776#381C2314yes—
777#381C2312yes—
778#381C2314yes—
779#381C2314yes—
780#380C2312yes—
781#380C2314yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2311yescharacteristic
788#380C2314yes—
789#380C2312yes—
790#380C2314yes—
791#380C2314yes—
792#380C2312yes—
793#380C2314yes—
794#379C2314yes—
795#379C2314yes—
796#379C2314yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C2×#95C2312yes—
845C2×#95C2312yes—
846C2×#95C2314yes—
847C2×#95C2314yes—
848C43C2311yescharacteristic
849C43C2312yes—
850C25C2414yes—
851C2×#41—28no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—216no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—24no—
861C2×#41—44no—
862C2×#41—42no—
863C2×#41—44no—
864C2×#41—42no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—44no—
870C2×#41—44no—
871C2×#41—48no—
872C2×#41—44no—
873C2×#41—84no—
874C2×#41C2×D4116yes—
875C22×Q8C2411yescharacteristic
876C22×Q8C2411yescharacteristic
877C22×Q8C2412yes—
878C22×Q8C2412yes—
879C22×Q8C2411yescharacteristic
880C22×Q8C2411yescharacteristic
881C22×D4—28no—
882C22×D4—28no—
883C22×D4—28no—
884C22×D4—28no—
885C22×D4—44no—
886C22×D4—44no—
887C22×D4—44no—
888C22×D4—44no—
889C22×D4—82no—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2411yescharacteristic
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2411yescharacteristic
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2412yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2412yes—
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2414yes—
930C23×C4C2414yes—
931C23×C4C2414yes—
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2411yescharacteristic
939C23×C4C2414yes—
940C4⋊Q8—24no—
941C4⋊Q8—28no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944C4⋊Q8—24no—
945C4⋊Q8—44no—
946#127—28no—
947#127—28no—
948#127—28no—
949#127—28no—
950#127—28no—
951#127—216no—
952#127—24no—
953#127—44no—
954#127C2×D418yes—
955#127C2×D4116yes—
956#126—28no—
957#126—216no—
958#125—24no—
959#125—28no—
960#125—216no—
961#125—28no—
962#124—24no—
963#124—28no—
964#124—28no—
965#124—28no—
966#124—28no—
967#124—28no—
968#124—216no—
969#124—28no—
970#124—24no—
971#124—28no—
972#124—44no—
973#124—44no—
974#123—216no—
975#123—216no—
976#123—216no—
977#123—216no—
978#123—216no—
979#123—28no—
980#123—216no—
981#123—216no—
982#123—28no—
983#123—216no—
984#123—216no—
985#123—28no—
986#123—48no—
987#123—84no—
988#123—84no—
989C22⋊Q8—24no—
990C22⋊Q8—24no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—44no—
996C22⋊Q8—42no—
997C22⋊Q8—44no—
998C22⋊Q8#4118yescomplemented
999#121—216no—
1000#121—216no—
1001#121—28no—
1002#121—216no—
1003#121—216no—
1004#121—28no—
1005#121—216no—
1006#121—216no—
1007#121—216no—
1008#121—28no—
1009#121—216no—
1010#121—216no—
1011#121—28no—
1012#121—216no—
1013#121—28no—
1014#121—24no—
1015#121—28no—
1016#121—216no—
1017#121—216no—
1018#121—216no—
1019#121—28no—
1020#121—48no—
1021#121—48no—
1022#121—48no—
1023#121—48no—
1024#121—44no—
1025#121—44no—
1026#121—42no—
1027#121—44no—
1028#121—84no—
1029#121—82no—
1030#121C2×D4116yes—
1031#121C2×D4132yes—
1032#120—216no—
1033#120—216no—
1034#120—216no—
1035#120—48no—
1036#120—84no—
1037C4×Q8—24no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—24no—
1041C4×Q8—24no—
1042C4×Q8—28no—
1043C4×Q8—28no—
1044C4×Q8—24no—
1045C4×Q8—24no—
1046C4×Q8—42no—
1047C4×Q8—44no—
1048C4×Q8C2×D418yes—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—216no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—216no—
1060C4×D4—216no—
1061C4×D4—216no—
1062C4×D4—216no—
1063C4×D4—28no—
1064C4×D4—24no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—24no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—216no—
1072C4×D4—216no—
1073C4×D4—28no—
1074C4×D4—24no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—24no—
1078C4×D4—48no—
1079C4×D4—48no—
1080C4×D4—42no—
1081C4×D4—44no—
1082C4×D4—44no—
1083C4×D4—48no—
1084C4×D4—42no—
1085C4×D4—48no—
1086C4×D4—84no—
1087C4×D4—82no—
1088C4×D4C2×D418yes—
1089C4×D4C2×D4116yes—
1090#117—24no—
1091#117—24no—
1092#117—28no—
1093#117—28no—
1094#117—216no—
1095#117—28no—
1096#117—28no—
1097#117—48no—
1098#117—44no—
1099C2×C4⋊C4—216no—
1100C2×C4⋊C4—28no—
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4—44no—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2411yescharacteristic
1159C2×C22⋊C4—216no—
1160C2×C22⋊C4—216no—
1161C2×C22⋊C4—216no—
1162C2×C22⋊C4—48no—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2411yescharacteristic
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2411yescharacteristic
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C42—28no—
1234C2×C42—28no—
1235C2×C42—24no—
1236C2×C42—24no—
1237C2×C42—28no—
1238C2×C42—48no—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2412yes—
1247C2×C42C2414yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2411yescharacteristic
1255C2×C42C2412yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2412yes—
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261C2×C42C2414yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2412yes—
1264C2×C42C2414yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2412yes—
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271#95C2412yes—
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2411yescharacteristic
1293#95C2411yescharacteristic
1294#95C2411yescharacteristic
1295#95C2412yes—
1296#95C2411yescharacteristic
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2414yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2414yes—
1318#95C2414yes—
1319C24—28no—
1320C24—28no—
1321C24—44no—
1322C24—44no—
1323C24—44no—
1324C24—44no—
1325C24—44no—
1326C24C2514yes—
1327C24C2511yescharacteristic
1328C24C2512yes—
1329C24C2514yes—
1330C24C2512yes—
1331C24C2511yescharacteristic
1332#41—432no—
1333#41—416no—
1334#41—432no—
1335#41—416no—
1336#41—816no—
1337#41—816no—
1338#41—816no—
1339#41—832no—
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—24no—
1343C2×Q8—22no—
1344C2×Q8—24no—
1345C2×Q8—22no—
1346C2×Q8—22no—
1347C2×Q8—24no—
1348C2×Q8—22no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—22no—
1352C2×Q8—22no—
1353C2×Q8—24no—
1354C2×Q8—24no—
1355C2×Q8—42no—
1356C2×Q8C22×D414yes—
1357C2×Q8C2×#4114yes—
1358C2×D4—24no—
1359C2×D4—28no—
1360C2×D4—28no—
1361C2×D4—24no—
1362C2×D4—28no—
1363C2×D4—22no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—28no—
1367C2×D4—28no—
1368C2×D4—28no—
1369C2×D4—28no—
1370C2×D4—28no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—22no—
1379C2×D4—28no—
1380C2×D4—28no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—28no—
1384C2×D4—24no—
1385C2×D4—22no—
1386C2×D4—24no—
1387C2×D4—22no—
1388C2×D4—24no—
1389C2×D4—22no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—28no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—432no—
1396C2×D4—44no—
1397C2×D4—41no—
1398C2×D4—42no—
1399C2×D4—44no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—42no—
1406C2×D4—44no—
1407C2×D4—42no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—42no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—42no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—44no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—816no—
1435C2×D4—816no—
1436C2×D4C22×D418yes—
1437C2×D4C22×D414yes—
1438C2×D4C22×D418yes—
1439C2×D4C22×D4116yes—
1440C2×D4C22×D418yes—
1441C2×D4C22×D4116yes—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—28no—
1450C22×C4—24no—
1451C22×C4—28no—
1452C22×C4—28no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—24no—
1458C22×C4—28no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—22no—
1464C22×C4—24no—
1465C22×C4—22no—
1466C22×C4—22no—
1467C22×C4—24no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—28no—
1475C22×C4—28no—
1476C22×C4—28no—
1477C22×C4—28no—
1478C22×C4—24no—
1479C22×C4—28no—
1480C22×C4—44no—
1481C22×C4—42no—
1482C22×C4—41no—
1483C22×C4—44no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—44no—
1487C22×C4—42no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—42no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—42no—
1495C22×C4—41no—
1496C22×C4—44no—
1497C22×C4—42no—
1498C22×C4—44no—
1499C22×C4—41no—
1500C22×C4—44no—
1501C22×C4—42no—
1502C22×C4—44no—
1503C22×C4—44no—
1504C22×C4—44no—
1505C22×C4—44no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4C22×D418yes—
1509C22×C4C22×D4116yes—
1510C22×C4C2×#4114yes—
1511C22×C4C2511yescharacteristic
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2511yescharacteristic
1518C22×C4C2511yescharacteristic
1519C22×C4C2514yes—
1520C22×C4C2512yes—
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2512yes—
1524C22×C4C2514yes—
1525C22×C4C2512yes—
1526C22×C4C2511yescharacteristic
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2512yes—
1530C22×C4C2511yescharacteristic
1531C22×C4C2512yes—
1532C22×C4C2512yes—
1533C22×C4C2512yes—
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—28no—
1543C4⋊C4—28no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—22no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—22no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—22no—
1557C4⋊C4—28no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—28no—
1563C4⋊C4—22no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—22no—
1570C4⋊C4—24no—
1571C4⋊C4—22no—
1572C4⋊C4—22no—
1573C4⋊C4—24no—
1574C4⋊C4—22no—
1575C4⋊C4—24no—
1576C4⋊C4—22no—
1577C4⋊C4—42no—
1578C4⋊C4—42no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—42no—
1583C4⋊C4—44no—
1584C4⋊C4—42no—
1585C4⋊C4—44no—
1586C4⋊C4—42no—
1587C4⋊C4—44no—
1588C4⋊C4—42no—
1589C4⋊C4—42no—
1590C4⋊C4—44no—
1591C4⋊C4C22×D414yes—
1592C4⋊C4C22×D414yes—
1593C4⋊C4C22×D418yes—
1594C4⋊C4C2×#4118yes—
1595C4⋊C4C2×#4114yes—
1596C22⋊C4—28no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—28no—
1600C22⋊C4—28no—
1601C22⋊C4—28no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—24no—
1606C22⋊C4—22no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—28no—
1611C22⋊C4—28no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—28no—
1617C22⋊C4—28no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—28no—
1621C22⋊C4—28no—
1622C22⋊C4—28no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—22no—
1626C22⋊C4—28no—
1627C22⋊C4—24no—
1628C22⋊C4—22no—
1629C22⋊C4—28no—
1630C22⋊C4—28no—
1631C22⋊C4—22no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—28no—
1635C22⋊C4—22no—
1636C22⋊C4—24no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—42no—
1643C22⋊C4—41no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—42no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—42no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—42no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—42no—
1657C22⋊C4—44no—
1658C22⋊C4—42no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—42no—
1662C22⋊C4—42no—
1663C22⋊C4C22×D4116yes—
1664C22⋊C4C22×D418yes—
1665C22⋊C4C2×#4118yes—
1666C42—22no—
1667C42—22no—
1668C42—24no—
1669C42—24no—
1670C42—22no—
1671C42—24no—
1672C42—22no—
1673C42—22no—
1674C42—24no—
1675C42—24no—
1676C42—24no—
1677C42—22no—
1678C42—24no—
1679C42—28no—
1680C42—24no—
1681C42—22no—
1682C42—24no—
1683C42—24no—
1684C42—24no—
1685C42—24no—
1686C42—22no—
1687C42—22no—
1688C42—44no—
1689C42—44no—
1690C42—41no—
1691C42—41no—
1692C42—42no—
1693C42—42no—
1694C42—42no—
1695C42C22×D414yes—
1696C42C22×D418yes—
1697C42H(5,𝔽2)14yes—
1698C23—21no—
1699C23—22no—
1700C23—24no—
1701C23—21no—
1702C23—24no—
1703C23—22no—
1704C23—21no—
1705C23—22no—
1706C23—24no—
1707C23—22no—
1708C23—22no—
1709C23—21no—
1710C23—21no—
1711C23—24no—
1712C23—24no—
1713C23—22no—
1714C23—24no—
1715C23—21no—
1716C23—21no—
1717C23—22no—
1718C23—24no—
1719C23—21no—
1720C23—24no—
1721C23—22no—
1722C23—24no—
1723C23—22no—
1724C23—21no—
1725C23—21no—
1726C23—22no—
1727C23—21no—
1728C23—22no—
1729C23—24no—
1730C23—24no—
1731C23—22no—
1732C23—24no—
1733C23—21no—
1734C23—22no—
1735C23—21no—
1736C23—24no—
1737C23—416no—
1738C23—88no—
1739C23—88no—
1740C23—88no—
1741C23—88no—
1742C23—164no—
1743C23—164no—
1744C23C23×D418yes—
1745C23C23×D414yes—
1746C23C22×#4112yes—
1747C23C2611yescharacteristic
1748Q8—28no—
1749Q8—28no—
1750Q8—48no—
1751Q8—44no—
1752Q8—44no—
1753Q8—48no—
1754D4—216no—
1755D4—28no—
1756D4—216no—
1757D4—48no—
1758D4—416no—
1759D4—416no—
1760D4—44no—
1761D4—416no—
1762D4—416no—
1763D4—48no—
1764D4—416no—
1765D4—48no—
1766D4—48no—
1767D4—48no—
1768D4—44no—
1769D4—84no—
1770D4—88no—
1771D4—84no—
1772D4—88no—
1773D4—84no—
1774D4—88no—
1775D4—88no—
1776D4—88no—
1777D4—88no—
1778D4—88no—
1779D4—88no—
1780D4—164no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—28no—
1802C2×C4—216no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—24no—
1823C2×C4—24no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—24no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—24no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—24no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—416no—
1855C2×C4—48no—
1856C2×C4—44no—
1857C2×C4—48no—
1858C2×C4—48no—
1859C2×C4—416no—
1860C2×C4—48no—
1861C2×C4—44no—
1862C2×C4—48no—
1863C2×C4—44no—
1864C2×C4—44no—
1865C2×C4—82no—
1866C2×C4—88no—
1867C2×C4—84no—
1868C2×C4—88no—
1869C2×C4—88no—
1870C2×C4—88no—
1871C2×C4—88no—
1872C2×C4—84no—
1873C2×C4—88no—
1874C2×C4—88no—
1875C2×C4C23×D414yes—
1876C2×C4C23×D414yes—
1877C2×C4C23×D412yes—
1878C2×C4C23×D414yes—
1879C2×C4C23×D412yes—
1880C2×C4C23×D412yes—
1881C2×C4C22×#4114yes—
1882C2×C4C22×#4114yes—
1883C2×C4C22×#4112yes—
1884C2×C4C22×#4112yes—
1885C2×C4C2×H(5,𝔽2)12yes—
1886C2×C4C2×H(5,𝔽2)12yes—
1887C2×C4C2×H(5,𝔽2)12yes—
1888C2×C4#58512yes—
1889C2×C4#58512yes—
1890C2×C4#58512yes—
1891C22—24no—
1892C22—28no—
1893C22—22no—
1894C22—24no—
1895C22—28no—
1896C22—22no—
1897C22—22no—
1898C22—24no—
1899C22—28no—
1900C22—41no—
1901C22—42no—
1902C22—44no—
1903C22—41no—
1904C22—42no—
1905C22—44no—
1906C22—41no—
1907C22—42no—
1908C22—44no—
1909C22—42no—
1910C22—44no—
1911C22—41no—
1912C22—44no—
1913C22—41no—
1914C22—42no—
1915C22—42no—
1916C22—41no—
1917C22—44no—
1918C22—41no—
1919C22—42no—
1920C22—44no—
1921C22—41no—
1922C22—42no—
1923C22—44no—
1924C22—41no—
1925C22—42no—
1926C22—44no—
1927C22—42no—
1928C22—44no—
1929C22—41no—
1930C22—41no—
1931C22—42no—
1932C22—44no—
1933C22—1616no—
1934C22C24×D411yescharacteristic
1935C22C23×#4111yescharacteristic
1936C22C22×H(5,𝔽2)11yescharacteristic
1937C22C2×#58511yescharacteristic
1938C22C2×#58511yescharacteristic
1939C22C2×#58511yescharacteristic
1940C22H(7,𝔽2)11yescharacteristic
1941C4—22no—
1942C4—22no—
1943C4—24no—
1944C4—24no—
1945C4—24no—
1946C4—22no—
1947C4—24no—
1948C4—22no—
1949C4—22no—
1950C4—24no—
1951C4—42no—
1952C4—41no—
1953C4—42no—
1954C4—42no—
1955C4—41no—
1956C4—42no—
1957C4—41no—
1958C4—41no—
1959C4—42no—
1960C4—44no—
1961C4—41no—
1962C4—42no—
1963C4—42no—
1964C4—44no—
1965C4—41no—
1966C4—42no—
1967C4—42no—
1968C4D4×#4114yes—
1969C4#349614yes—
1970C2—44no—
1971C2—48no—
1972C2—42no—
1973C2—81no—
1974C2—82no—
1975C2—84no—
1976C2C2×D4×#4111yescharacteristic
1977C2C2×#349611yescharacteristic
1978C2#6280011yescharacteristic
1979C2#6295511yescharacteristic
1980C2#6298711yescharacteristic
1981C2#6300611yescharacteristic
1982C2#6303611yescharacteristic
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×#3508C2semidirect
2. C2×#3517C2semidirect
3. #59419C2semidirect
4. #59411C2semidirect
5. #59406C2semidirect
6. #59129C2semidirect
7. #59124C2semidirect
8. #59103C2semidirect
9. #59097C2semidirect
10. #59064C2semidirect
11. #44892C2semidirect
12. #44880C2semidirect
13. #43927C2semidirect
14. #43923C2semidirect
15. #39889C2semidirect
16. #39888C2semidirect
17. #39599C2semidirect
18. #39454C2semidirect
19. #39416C2semidirect
20. #39137C2semidirect
21. #36538C2semidirect
22. #36471C2semidirect
23. #36410C2semidirect
24. #36404C2semidirect
25. #36218C2semidirect
26. #36139C2semidirect
27. #36125C2semidirect
28. #36121C2semidirect
29. #35823C2semidirect
30. #35778C2semidirect
31. #34937C2semidirect
32. #34919C2semidirect
33. #34309C2semidirect
34. C4×#550C2semidirect
35. C4×#547C2semidirect
41. C2×#557C22semidirect
42. C2×#553C22semidirect
43. C2×#553C22semidirect
48. C2×#550C22semidirect
49. C2×#550C22semidirect
51. C2×#547C22semidirect
52. C2×#547C22semidirect
59. C2×#540C22semidirect
60. C2×#540C22semidirect
66. C2×#532C22semidirect
67. C2×#532C22semidirect
69. C2×#529C22semidirect
70. C2×#529C22semidirect
71. C2×#520C22semidirect
74. C2×C4×#41C22semidirect
75. C2×C4×#41C22semidirect
76. #2861C22semidirect
80. #2855C22semidirect
81. #2854C22semidirect
82. #2854C22semidirect
83. #2850C22semidirect
84. #2726C22semidirect
85. #2708C22semidirect
86. #2708C22semidirect
87. #2705C22semidirect
89. #2701C22semidirect
90. #2701C22semidirect
91. #2701C22semidirect
92. #2699C22semidirect
93. #2699C22semidirect
94. #2699C22semidirect
96. #2682C22semidirect
97. #2682C22semidirect
98. #2682C22semidirect
102. #2673C22semidirect
103. #2671C22semidirect
105. #2630C22semidirect
106. #2630C22semidirect
108. #2620C22semidirect
109. #2602C22semidirect
110. #2602C22semidirect
111. #2584C22semidirect
112. #2582C22semidirect
113. #2582C22semidirect
114. #2579C22semidirect
115. #2568C22semidirect
116. #2566C22semidirect
118. #2558C22semidirect
119. #2558C22semidirect
120. #2558C22semidirect
121. #2555C22semidirect
122. #2553C22semidirect
123. #2550C22semidirect
125. #2548C22semidirect
126. #2547C22semidirect
127. #2546C22semidirect
128. #2546C22semidirect
129. #2545C22semidirect
130. #2545C22semidirect
131. #2545C22semidirect
132. #2545C22semidirect
134. #2544C22semidirect
135. #2543C22semidirect
136. #2543C22semidirect
137. #2543C22semidirect
141. #2540C22semidirect
142. #2538C22semidirect
143. #2537C22semidirect
147. #2521C22semidirect
148. #2519C22semidirect
149. #2491C22semidirect
152. #2476C22semidirect
153. #2474C22semidirect
154. #2470C22semidirect
155. #2470C22semidirect
156. #2468C22semidirect
157. #2464C22semidirect
158. #2464C22semidirect
159. #2464C22semidirect
160. #2464C22semidirect
161. #2464C22semidirect
163. #2459C22semidirect
165. #2455C22semidirect
166. #2454C22semidirect
167. #2451C22semidirect
168. #2447C22semidirect
169. #2447C22semidirect
170. #2447C22semidirect
174. #2445C22semidirect
175. #2445C22semidirect
176. #2443C22semidirect
179. #2432C22semidirect
180. #2432C22semidirect
181. #2432C22semidirect
184. #2431C22semidirect
185. #2431C22semidirect
186. #2431C22semidirect
187. #2430C22semidirect
190. #2429C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2427C22semidirect
199. #2427C22semidirect
201. #2426C22semidirect
202. #2425C22semidirect
203. #2425C22semidirect
204. #2425C22semidirect
208. #2422C22semidirect
209. #2420C22semidirect
210. #2420C22semidirect
211. #2420C22semidirect
212. #2419C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
217. #2414C22semidirect
218. #2413C22semidirect
226. #2407C22semidirect
227. #2406C22semidirect
228. #2396C22semidirect
230. #2392C22semidirect
231. #2392C22semidirect
232. #2367C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
236. #2366C22semidirect
237. #2365C22semidirect
238. #2364C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
243. #2362C22semidirect
245. #2361C22semidirect
246. #2361C22semidirect
247. #2360C22semidirect
249. #2359C22semidirect
250. #2359C22semidirect
253. #2354C22semidirect
254. #2354C22semidirect
256. Q8×C4⋊C4C22semidirect
257. #2349C22semidirect
258. #2349C22semidirect
259. D4×C4⋊C4C22semidirect
260. #2344C22semidirect
262. #2341C22semidirect
264. #2339C22semidirect
265. #2339C22semidirect
266. #2339C22semidirect
267. #2339C22semidirect
271. #2324C22semidirect
273. #2322C22semidirect
275. C4×C4⋊Q8C22semidirect
277. C4×#127C22semidirect
278. C4×#124C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
285. C4×#123C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2297C22semidirect
293. #2297C22semidirect
296. C42×Q8C22semidirect
298. C42×D4C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C4⋊C4C22semidirect
323. #550D4semidirect
998. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35082
C2×#35172
#594192
#594112
#594062
#591292
#591242
#591032
#590972
#590642
#448922
#448802
#439272
#439232
#398892
#398882
#395992
#394542
#394162
#391372
#365382
#364712
#364102
#364042
#362182
#361392
#361252
#361212
#358232
#357782
#349372
#349192
#343092
C4×#5502
C4×#5472