Finite Group Databasebeta

← #7681028

Subgroups — #7681028

Order 512.

7795 conjugacy classes of subgroups.

The subgroup lattice has 2021 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic, complemented
2C2×#3520C211yesmaximal, characteristic, complemented
3#59127C211yesmaximal, characteristic, complemented
4#59125C211yesmaximal, characteristic, complemented
5#59080C211yesmaximal, characteristic, complemented
6#59055C211yesmaximal, characteristic, complemented
7#59051C211yesmaximal, characteristic, complemented
8#59051C211yesmaximal, characteristic, complemented
9#59049C211yesmaximal, characteristic, complemented
10#59040C211yesmaximal, characteristic, complemented
11#59005C212yesmaximal, complemented
12#59002C212yesmaximal, complemented
13#59001C212yesmaximal, complemented
14#58999C212yesmaximal, complemented
15#45018C212yesmaximal, complemented
16#44989C212yesmaximal, complemented
17#44915C212yesmaximal, complemented
18#44886C212yesmaximal, complemented
19#44292C214yesmaximal, complemented
20#44250C214yesmaximal, complemented
21#39954C212yesmaximal, complemented
22#39950C212yesmaximal, complemented
23#39944C214yesmaximal, complemented
24#38437C214yesmaximal, complemented
25#36465C212yesmaximal, complemented
26#36268C212yesmaximal, complemented
27#35539C212yesmaximal, complemented
28#35539C212yesmaximal, complemented
29#35198C212yesmaximal, complemented
30#35191C211yesmaximal, characteristic, complemented
31#34936C211yesmaximal, characteristic, complemented
32#34911C211yesmaximal, characteristic, complemented
33#34313C212yesmaximal, complemented
34#34154C211yesmaximal, characteristic, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36#3520—216no—
37#3511—216no—
38C2×#556C2211yescharacteristic
39C2×#556C2212yescomplemented
40C2×#555C2212yes—
41C2×#554C2212yes—
42C2×#554C2212yescomplemented
43C2×#553C2212yes—
44C2×#553C2212yescomplemented
45C2×#552C2212yes—
46C2×#551C2214yes—
47C2×#550C2212yes—
48C2×#550C2212yescomplemented
49C2×D4×Q8C2211yescharacteristic
50C2×D4×Q8C2212yescomplemented
51C2×#548C2212yes—
52C2×#548C2212yes—
53C2×#548C2212yescomplemented
54C2×#548C2212yescomplemented
55C2×#548C2212yescomplemented
56C2×#547C2211yescharacteristic
57C2×#547C2211yescharacteristic
58C2×#547C2212yes—
59C2×#546C2212yes—
60C2×#542C2212yes—
61C2×#542C2212yes—
62C2×#542C2212yescomplemented
63C2×#539C2214yes—
64C2×#537C2212yes—
65C2×#535C2211yescharacteristic
66C2×#533C2211yescharacteristic
67C2×#533C2211yescharacteristic, complemented
68C2×#532C2211yescharacteristic
69C2×#532C2211yescharacteristic, complemented
70C2×#532C2211yescharacteristic, complemented
71C22×C4⋊Q8C2211yescharacteristic, complemented
72C2×#529C2211yescharacteristic
73C2×#525C2212yes—
74C2×#525C2212yes—
75C2×#525C2212yes—
76C22×C22⋊Q8C2212yes—
77C2×#520C2212yes—
78C2×#520C2212yescomplemented
79C2×C4×#41C2211yescharacteristic
80C22×C4×D4C2211yescharacteristic
81#2861C2212yescomplemented
82#2860C2214yescomplemented
83#2858C2212yescomplemented
84#2858C2214yescomplemented
85#2723C2214yescomplemented
86#2721C2214yescomplemented
87#2720C2214yescomplemented
88#2714C2214yes—
89#2714C2214yescomplemented
90#2711C2214yescomplemented
91#2696C2214yes—
92#2694C2214yescomplemented
93#2692C2214yescomplemented
94#2681C2214yes—
95#2680C2214yes—
96#2678C2214yes—
97#2677C2214yescomplemented
98#2676C2214yes—
99#2676C2214yescomplemented
100#2674C2214yes—
101#2674C2214yescomplemented
102#2673C2214yes—
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2672C2214yes—
106#2670C2214yes—
107#2669C2214yes—
108#2669C2214yes—
109#2662C2214yescomplemented
110#2662C2214yescomplemented
111#2661C2214yes—
112#2610C2214yescomplemented
113#2610C2214yescomplemented
114#2604C2212yescomplemented
115#2603C2214yescomplemented
116#2603C2214yescomplemented
117#2603C2214yescomplemented
118#2603C2212yescomplemented
119#2602C2212yes—
120#2602C2212yes—
121#2601C2214yescomplemented
122#2601C2214yescomplemented
123#2592C2211yescharacteristic, complemented
124#2584C2211yescharacteristic, complemented
125#2562C2211yescharacteristic, complemented
126#2556C2214yescomplemented
127#2554C2214yes—
128#2551C2212yescomplemented
129#2548C2212yes—
130#2548C2211yescharacteristic, complemented
131#2547C2211yescharacteristic, complemented
132#2546C2211yescharacteristic, complemented
133#2542C2211yescharacteristic
134#2542C2211yescharacteristic
135#2542C2214yescomplemented
136#2542C2212yescomplemented
137#2541C2214yes—
138#2541C2212yes—
139#2541C2211yescharacteristic
140#2541C2211yescharacteristic
141#2541C2212yescomplemented
142#2541C2211yescharacteristic, complemented
143#2540C2214yes—
144#2540C2212yes—
145#2540C2212yes—
146#2540C2214yescomplemented
147#2540C2214yescomplemented
148#2540C2211yescharacteristic, complemented
149#2540C2214yescomplemented
150#2540C2212yescomplemented
151#2540C2212yescomplemented
152#2539C2214yes—
153#2538C2212yescomplemented
154#2519C2214yescomplemented
155#2501C2212yes—
156#2491C2212yes—
157#2491C2212yescomplemented
158#2479C2214yescomplemented
159#2472C2214yes—
160#2471C2214yescomplemented
161#2467C2214yescomplemented
162#2464C2214yes—
163#2463C2214yescomplemented
164#2463C2214yescomplemented
165#2463C2214yescomplemented
166#2461C2214yes—
167#2461C2214yes—
168#2461C2214yescomplemented
169#2461C2214yescomplemented
170#2456C2214yes—
171#2456C2214yescomplemented
172#2456C2214yescomplemented
173#2456C2214yescomplemented
174#2456C2214yescomplemented
175#2455C2214yes—
176#2452C2212yes—
177#2452C2214yescomplemented
178#2452C2212yescomplemented
179#2449C2214yescomplemented
180#2449C2214yescomplemented
181#2449C2214yescomplemented
182#2448C2212yes—
183#2448C2212yescomplemented
184#2445C2214yescomplemented
185#2443C2214yescomplemented
186#2443C2214yescomplemented
187#2443C2214yescomplemented
188#2440C2212yescomplemented
189#2440C2212yescomplemented
190#2436C2212yescomplemented
191#2434C2212yescomplemented
192#2433C2212yes—
193#2432C2212yes—
194#2432C2212yescomplemented
195#2431C2212yes—
196#2431C2212yes—
197#2431C2212yes—
198#2431C2212yescomplemented
199#2429C2212yescomplemented
200#2429C2212yescomplemented
201#2429C2212yescomplemented
202#2428C2212yes—
203#2428C2212yes—
204#2428C2212yescomplemented
205#2427C2212yescomplemented
206#2426C2212yes—
207#2426C2212yescomplemented
208#2426C2212yescomplemented
209#2426C2212yescomplemented
210#2426C2212yescomplemented
211#2424C2214yes—
212#2424C2214yes—
213#2423C2212yescomplemented
214#2423C2212yescomplemented
215#2418C2214yes—
216#2417C2212yescomplemented
217#2416C2212yes—
218#2416C2212yescomplemented
219#2416C2212yescomplemented
220#2415C2211yescharacteristic
221#2415C2211yescharacteristic
222#2415C2212yescomplemented
223#2414C2212yes—
224#2414C2211yescharacteristic
225#2414C2211yescharacteristic
226#2414C2212yes—
227#2414C2212yescomplemented
228#2409C2212yescomplemented
229#2409C2212yescomplemented
230#2407C2212yes—
231#2407C2212yescomplemented
232#2407C2212yescomplemented
233#2407C2212yescomplemented
234#2397C2214yes—
235#2395C2212yes—
236#2388C2212yes—
237#2371C2214yescomplemented
238#2366C2212yes—
239#2366C2214yescomplemented
240#2365C2211yescharacteristic, complemented
241#2365C2211yescharacteristic, complemented
242#2365C2211yescharacteristic, complemented
243#2365C2211yescharacteristic, complemented
244#2363C2212yescomplemented
245#2362C2212yes—
246#2362C2212yes—
247#2362C2212yes—
248#2362C2212yes—
249#2362C2212yescomplemented
250#2361C2212yes—
251#2361C2214yescomplemented
252#2361C2214yescomplemented
253#2361C2212yescomplemented
254#2361C2212yescomplemented
255#2360C2212yescomplemented
256Q8×C4⋊C4C2212yescomplemented
257D4×C4⋊C4C2214yescomplemented
258D4×C4⋊C4C2212yescomplemented
259#2341C2212yes—
260#2341C2212yescomplemented
261#2328C2212yes—
262#2326C2212yes—
263#2324C2211yescharacteristic
264#2324C2211yescharacteristic
265#2324C2211yescharacteristic
266#2324C2211yescharacteristic
267#2324C2214yescomplemented
268#2324C2214yescomplemented
269#2324C2212yescomplemented
270#2324C2212yescomplemented
271#2321C2212yes—
272#2321C2212yes—
273#2317C2211yescharacteristic
274#2311C2211yescharacteristic
275#2309C2211yescharacteristic
276C4×#127C2212yes—
277C4×#127C2212yes—
278C4×#127C2212yes—
279C4×#127C2214yescomplemented
280C4×#124C2212yes—
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2211yescharacteristic, complemented
289C4×#120C2212yes—
290C4×#120C2212yes—
291#2298C2214yes—
292#2295C2212yescomplemented
293#2295C2212yescomplemented
294#2293C2214yescomplemented
295#2293C2212yescomplemented
296#2293C2212yescomplemented
297C42×Q8C2212yescomplemented
298C42×Q8C2212yescomplemented
299C4×#117C2211yescharacteristic
300C4×#117C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×Q8C2312yes—
308C23×Q8C2312yes—
309C23×D4C2311yescharacteristic
310C24×C4C2312yes—
311#556—28no—
312#556—216no—
313#555—216no—
314#554—216no—
315#554—216no—
316#553—216no—
317#553—216no—
318#552—216no—
319#551—232no—
320#550—216no—
321#550—48no—
322D4×Q8—28no—
323D4×Q8—48no—
324#548—216no—
325#548—216no—
326#548—216no—
327#548—48no—
328#548—48no—
329#547—28no—
330#547—28no—
331#547—216no—
332#546—216no—
333#542—216no—
334#542—216no—
335#542—216no—
336#539—232no—
337#537—216no—
338#535—28no—
339#533—28no—
340#533D4116yescomplemented
341#532—28no—
342#532—28no—
343#532—28no—
344C2×C4⋊Q8—28no—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2314yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2311yescharacteristic
353C2×C4⋊Q8C2311yescharacteristic
354C2×#127C2312yes—
355C2×#127C2312yes—
356C2×#127C2314yes—
357C2×#127C2311yescharacteristic
358C2×#127C2312yes—
359C2×#127C2314yes—
360C2×#127C2312yes—
361#529—28no—
362C2×#126C2314yes—
363C2×#126C2314yes—
364C2×#126C2312yes—
365C2×#126C2314yes—
366C2×#126C2314yes—
367C2×#125C2311yescharacteristic
368C2×#125C2312yes—
369C2×#125C2314yes—
370C2×#125C2312yes—
371C2×#124C2312yes—
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2314yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2314yes—
381C2×#124C2314yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384#525—216no—
385#525—48no—
386#525—48no—
387C2×#123C2312yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×C22⋊Q8—216no—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2314yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2314yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2314yes—
450C2×#121C2314yes—
451C2×#121C2314yes—
452C2×#121C2314yes—
453C2×#121C2311yescharacteristic
454C2×#120C2312yes—
455C2×#120C2312yes—
456C2×#120C2314yes—
457C2×#120C2314yes—
458C2×#120C2314yes—
459#520—216no—
460#520—216no—
461C4×#41—28no—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2312yes—
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2312yes—
474C2×C4×D4—28no—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2314yes—
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2314yes—
504C2×C4×D4C2314yes—
505C2×C4×D4C2314yes—
506C2×C4×D4C2314yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2312yes—
511C2×C4×D4C2314yes—
512C2×C4×D4C2314yes—
513C2×C4×D4C2314yes—
514C2×C4×D4C2314yes—
515C2×C4×D4C2312yes—
516C2×#117C2311yescharacteristic
517C2×#117C2311yescharacteristic
518C2×#117C2311yescharacteristic
519C2×#117C2311yescharacteristic
520C2×#117C2312yes—
521C2×#117C2314yes—
522C2×#117C2314yes—
523C2×#117C2311yescharacteristic
524C2×#117C2311yescharacteristic
525C2×#117C2312yes—
526C2×#117C2312yes—
527C2×#117C2311yescharacteristic
528C2×#117C2312yes—
529C22×C4⋊C4C2311yescharacteristic
530C22×C4⋊C4C2312yes—
531C22×C4⋊C4C2314yes—
532C22×C4⋊C4C2312yes—
533C22×C4⋊C4C2314yes—
534C22×C4⋊C4C2312yes—
535C22×C4⋊C4C2312yes—
536C22×C22⋊C4C2312yes—
537C22×C22⋊C4C2314yes—
538C22×C42C2311yescharacteristic
539C22×C42C2311yescharacteristic
540C22×C42C2311yescharacteristic
541#400C2312yes—
542#399C2312yes—
543#399C2314yes—
544#399C2314yes—
545#399C2314yes—
546#399C2314yes—
547#399C2314yes—
548#399C2314yes—
549#399C2314yes—
550#399C2314yes—
551#398C2312yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#395C2312yes—
572#395C2314yes—
573#395C2314yes—
574#395C2314yes—
575#395C2314yes—
576#394C2312yes—
577#394C2314yes—
578#394C2314yes—
579#394C2312yes—
580#394C2312yes—
581#394C2312yes—
582#394C2312yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#393C2312yes—
597#393C2314yes—
598#393C2314yes—
599#393C2314yes—
600#393C2314yes—
601#392C2312yes—
602#392C2312yes—
603#392C2312yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#392C2314yes—
618#392C2314yes—
619#392C2314yes—
620#392C2314yes—
621#391C2312yes—
622#391C2311yescharacteristic
623#391C2311yescharacteristic
624#391C2312yes—
625#391C2312yes—
626#391C2312yes—
627#391C2312yes—
628#391C2312yes—
629#391C2312yes—
630#390C2312yes—
631#390C2314yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2314yes—
638#390C2312yes—
639#390C2312yes—
640#390C2314yes—
641#390C2314yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2314yes—
646#390C2314yes—
647#390C2314yes—
648#390C2311yescharacteristic
649#390C2311yescharacteristic
650#390C2311yescharacteristic
651#390C2311yescharacteristic
652#390C2312yes—
653#390C2314yes—
654#390C2312yes—
655#390C2314yes—
656#390C2314yes—
657#390C2312yes—
658#390C2311yescharacteristic
659#390C2311yescharacteristic
660#390C2312yes—
661#390C2314yes—
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2314yes—
666#390C2314yes—
667#390C2312yes—
668#390C2312yes—
669#390C2314yes—
670#390C2314yes—
671#390C2312yes—
672#390C2312yes—
673#390C2314yes—
674#389C2311yescharacteristic
675#389C2311yescharacteristic
676#389C2311yescharacteristic
677#389C2311yescharacteristic
678#389C2312yes—
679#389C2314yes—
680#389C2314yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2311yescharacteristic
685#389C2311yescharacteristic
686#389C2311yescharacteristic
687#389C2311yescharacteristic
688#389C2312yes—
689#389C2314yes—
690#389C2312yes—
691#389C2314yes—
692#389C2314yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2312yes—
711#388C2314yes—
712#388C2314yes—
713#388C2312yes—
714#388C2312yes—
715#388C2314yes—
716#388C2314yes—
717#388C2312yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2312yes—
738#387C2312yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#386C2312yes—
748#386C2312yes—
749#386C2312yes—
750#386C2312yes—
751#386C2312yes—
752#386C2312yes—
753#386C2312yes—
754#386C2312yes—
755#386C2312yes—
756#386C2312yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2312yes—
766#386C2312yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#385C2312yes—
776#385C2312yes—
777#385C2312yes—
778#385C2312yes—
779#385C2312yes—
780#385C2312yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2312yes—
790#385C2312yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#384C2312yes—
796#384C2312yes—
797#384C2312yes—
798#384C2314yes—
799#382C2312yes—
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2311yescharacteristic
803#380C2311yescharacteristic
804#380C2311yescharacteristic
805#380C2311yescharacteristic
806#380C2311yescharacteristic
807#380C2311yescharacteristic
808#380C2312yes—
809#380C2314yes—
810#380C2314yes—
811#380C2312yes—
812#379C2312yes—
813#379C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849#376C2312yes—
850#376C2314yes—
851#376C2312yes—
852C43C2312yes—
853C43C2312yes—
854C43C2314yes—
855C25C2412yes—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—28no—
861C2×#41—24no—
862C2×#41—28no—
863C2×#41—24no—
864C2×#41—28no—
865C2×#41—42no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—44no—
870C2×#41—44no—
871C2×#41—44no—
872C2×#41—44no—
873C2×#41—44no—
874C22×Q8—28no—
875C22×Q8—28no—
876C22×Q8—44no—
877C22×Q8—44no—
878C22×Q8—44no—
879C22×Q8—44no—
880C22×Q8C2411yescharacteristic
881C22×Q8C2412yes—
882C22×Q8C2411yescharacteristic
883C22×Q8C2412yes—
884C22×Q8C2412yes—
885C22×Q8C2414yes—
886C22×Q8C2414yes—
887C22×D4—24no—
888C22×D4—24no—
889C22×D4—42no—
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C22×D4C2411yescharacteristic
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2411yescharacteristic
901C22×D4C2412yes—
902C22×D4C2411yescharacteristic
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2412yes—
918C23×C4—28no—
919C23×C4—44no—
920C23×C4—44no—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2414yes—
928C23×C4C2414yes—
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2414yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2414yes—
936C23×C4C2411yescharacteristic
937C23×C4C2414yes—
938C23×C4C2414yes—
939C23×C4C2414yes—
940C23×C4C2411yescharacteristic
941C23×C4C2412yes—
942C23×C4C2411yescharacteristic
943C4⋊Q8—28no—
944C4⋊Q8—28no—
945C4⋊Q8—28no—
946C4⋊Q8—28no—
947C4⋊Q8—24no—
948C4⋊Q8—48no—
949C4⋊Q8—44no—
950C4⋊Q8C2×D418yes—
951C4⋊Q8C2×D418yes—
952#127—28no—
953#127—216no—
954#127—28no—
955#127—24no—
956#127—44no—
957#127—44no—
958#127—48no—
959#126—216no—
960#126—216no—
961#126—28no—
962#126—216no—
963#126—216no—
964#125—28no—
965#125—216no—
966#125—24no—
967#125C2×D4116yes—
968#124—28no—
969#124—28no—
970#124—28no—
971#124—216no—
972#124—28no—
973#124—24no—
974#124—28no—
975#124—216no—
976#124—216no—
977#124—48no—
978#124—48no—
979#124—44no—
980#124—44no—
981#123—28no—
982#123—216no—
983#123—216no—
984#123—216no—
985#123—216no—
986#123—216no—
987#123—216no—
988#123—48no—
989#123—48no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—24no—
995C22⋊Q8—216no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—216no—
999C22⋊Q8—216no—
1000C22⋊Q8—216no—
1001C22⋊Q8—216no—
1002C22⋊Q8—216no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—24no—
1006C22⋊Q8—24no—
1007C22⋊Q8—216no—
1008C22⋊Q8—48no—
1009C22⋊Q8—48no—
1010C22⋊Q8—48no—
1011C22⋊Q8—48no—
1012C22⋊Q8—44no—
1013C22⋊Q8—44no—
1014C22⋊Q8C2×D4116yes—
1015C22⋊Q8C2×D4116yes—
1016#121—24no—
1017#121—216no—
1018#121—24no—
1019#121—28no—
1020#121—28no—
1021#121—24no—
1022#121—28no—
1023#121—28no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—216no—
1028#121—216no—
1029#121—28no—
1030#121—24no—
1031#121—28no—
1032#121—28no—
1033#121—28no—
1034#121—24no—
1035#121—24no—
1036#121—216no—
1037#121—216no—
1038#121—216no—
1039#121—48no—
1040#121—48no—
1041#121—48no—
1042#121—48no—
1043#121—44no—
1044#121—44no—
1045#121—44no—
1046#121#4118yescomplemented
1047#120—28no—
1048#120—216no—
1049#120—28no—
1050#120—48no—
1051#120—48no—
1052C4×Q8—28no—
1053C4×Q8—28no—
1054C4×Q8—28no—
1055C4×Q8—28no—
1056C4×Q8—28no—
1057C4×Q8—28no—
1058C4×Q8—24no—
1059C4×Q8—24no—
1060C4×Q8—24no—
1061C4×Q8—44no—
1062C4×Q8C2×D4116yes—
1063C4×Q8C2×D4116yes—
1064C4×D4—24no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—216no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—216no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—216no—
1078C4×D4—216no—
1079C4×D4—24no—
1080C4×D4—28no—
1081C4×D4—24no—
1082C4×D4—24no—
1083C4×D4—24no—
1084C4×D4—28no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—28no—
1088C4×D4—216no—
1089C4×D4—216no—
1090C4×D4—24no—
1091C4×D4—28no—
1092C4×D4—48no—
1093C4×D4—48no—
1094C4×D4—48no—
1095C4×D4—48no—
1096C4×D4—48no—
1097C4×D4—48no—
1098C4×D4—48no—
1099C4×D4—48no—
1100C4×D4—44no—
1101C4×D4—44no—
1102C4×D4—44no—
1103C4×D4—44no—
1104C4×D4—44no—
1105#117—24no—
1106#117—28no—
1107#117—28no—
1108#117—24no—
1109#117—24no—
1110#117—24no—
1111#117—24no—
1112#117—24no—
1113#117—28no—
1114#117—216no—
1115#117—216no—
1116#117—42no—
1117#117C2×D4116yes—
1118C2×C4⋊C4—24no—
1119C2×C4⋊C4—216no—
1120C2×C4⋊C4—28no—
1121C2×C4⋊C4—216no—
1122C2×C4⋊C4—28no—
1123C2×C4⋊C4—28no—
1124C2×C4⋊C4—28no—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2411yescharacteristic
1182C2×C4⋊C4C2411yescharacteristic
1183C2×C4⋊C4C2411yescharacteristic
1184C2×C22⋊C4—28no—
1185C2×C22⋊C4—216no—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2411yescharacteristic
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2412yes—
1262C2×C42—24no—
1263C2×C42—24no—
1264C2×C42C2×D418yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2414yes—
1267C2×C42C2414yes—
1268C2×C42C2411yescharacteristic
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2412yes—
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275C2×C42C2411yescharacteristic
1276C2×C42C2412yes—
1277C2×C42C2414yes—
1278C2×C42C2412yes—
1279C2×C42C2414yes—
1280C2×C42C2411yescharacteristic
1281C2×C42C2412yes—
1282C2×C42C2412yes—
1283C2×C42C2414yes—
1284C2×C42C2412yes—
1285C2×C42C2414yes—
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288C2×C42C2412yes—
1289C2×C42C2412yes—
1290C2×C42C2411yescharacteristic
1291C2×C42C2414yes—
1292C2×C42C2411yescharacteristic
1293C2×C42C2411yescharacteristic
1294C2×C42C2411yescharacteristic
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2412yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335C24—24no—
1336C24—24no—
1337C24—42no—
1338C24—42no—
1339C24—42no—
1340C24—42no—
1341C24—42no—
1342C24C2512yes—
1343C24C2512yes—
1344C24C2514yes—
1345C24C2511yescharacteristic
1346C24C2511yescharacteristic
1347C24C2512yes—
1348C24C2511yescharacteristic
1349#41—416no—
1350#41—432no—
1351#41—432no—
1352#41—816no—
1353#41—816no—
1354#41—816no—
1355C2×Q8—22no—
1356C2×Q8—22no—
1357C2×Q8—24no—
1358C2×Q8—28no—
1359C2×Q8—28no—
1360C2×Q8—24no—
1361C2×Q8—22no—
1362C2×Q8—24no—
1363C2×Q8—24no—
1364C2×Q8—24no—
1365C2×Q8—24no—
1366C2×Q8—22no—
1367C2×Q8—22no—
1368C2×Q8—24no—
1369C2×Q8—41no—
1370C2×Q8—44no—
1371C2×Q8—44no—
1372C2×Q8—44no—
1373C2×Q8—44no—
1374C2×Q8—816no—
1375C2×Q8—816no—
1376C2×Q8C22×D418yes—
1377C2×Q8C22×D418yes—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—24no—
1382C2×D4—28no—
1383C2×D4—22no—
1384C2×D4—28no—
1385C2×D4—28no—
1386C2×D4—24no—
1387C2×D4—22no—
1388C2×D4—28no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—28no—
1392C2×D4—22no—
1393C2×D4—24no—
1394C2×D4—28no—
1395C2×D4—28no—
1396C2×D4—22no—
1397C2×D4—24no—
1398C2×D4—22no—
1399C2×D4—24no—
1400C2×D4—22no—
1401C2×D4—24no—
1402C2×D4—28no—
1403C2×D4—28no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—28no—
1409C2×D4—28no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—24no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—28no—
1416C2×D4—24no—
1417C2×D4—22no—
1418C2×D4—24no—
1419C2×D4—22no—
1420C2×D4—416no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—44no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—42no—
1430C2×D4—41no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—41no—
1434C2×D4—41no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—44no—
1440C2×D4—42no—
1441C2×D4—42no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—42no—
1452C2×D4—42no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—42no—
1456C2×D4—42no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—44no—
1460C2×D4—44no—
1461C2×D4C2×#4114yes—
1462C2×D4C2×#4118yes—
1463C22×C4—22no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—28no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—22no—
1476C22×C4—28no—
1477C22×C4—28no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—28no—
1482C22×C4—24no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—22no—
1493C22×C4—24no—
1494C22×C4—28no—
1495C22×C4—24no—
1496C22×C4—28no—
1497C22×C4—28no—
1498C22×C4—28no—
1499C22×C4—28no—
1500C22×C4—24no—
1501C22×C4—41no—
1502C22×C4—41no—
1503C22×C4—41no—
1504C22×C4—41no—
1505C22×C4—41no—
1506C22×C4—41no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—42no—
1510C22×C4—42no—
1511C22×C4—42no—
1512C22×C4—42no—
1513C22×C4—44no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—44no—
1519C22×C4—44no—
1520C22×C4—44no—
1521C22×C4—44no—
1522C22×C4—44no—
1523C22×C4—42no—
1524C22×C4—42no—
1525C22×C4—816no—
1526C22×C4C22×D414yes—
1527C22×C4C22×D414yes—
1528C22×C4C22×D414yes—
1529C22×C4C2×#4114yes—
1530C22×C4C2512yes—
1531C22×C4C2512yes—
1532C22×C4C2512yes—
1533C22×C4C2512yes—
1534C22×C4C2512yes—
1535C22×C4C2511yescharacteristic
1536C22×C4C2512yes—
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2512yes—
1540C22×C4C2511yescharacteristic
1541C22×C4C2511yescharacteristic
1542C22×C4C2512yes—
1543C22×C4C2512yes—
1544C22×C4C2514yes—
1545C22×C4C2512yes—
1546C22×C4C2511yescharacteristic
1547C22×C4C2511yescharacteristic
1548C22×C4C2511yescharacteristic
1549C22×C4C2514yes—
1550C22×C4C2514yes—
1551C22×C4C2511yescharacteristic
1552C22×C4C2512yes—
1553C22×C4C2511yescharacteristic
1554C22×C4C2512yes—
1555C22×C4C2512yes—
1556C22×C4C2511yescharacteristic
1557C22×C4C2511yescharacteristic
1558C4⋊C4—22no—
1559C4⋊C4—22no—
1560C4⋊C4—28no—
1561C4⋊C4—24no—
1562C4⋊C4—28no—
1563C4⋊C4—22no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—22no—
1567C4⋊C4—24no—
1568C4⋊C4—28no—
1569C4⋊C4—28no—
1570C4⋊C4—28no—
1571C4⋊C4—28no—
1572C4⋊C4—22no—
1573C4⋊C4—24no—
1574C4⋊C4—22no—
1575C4⋊C4—22no—
1576C4⋊C4—22no—
1577C4⋊C4—22no—
1578C4⋊C4—22no—
1579C4⋊C4—28no—
1580C4⋊C4—24no—
1581C4⋊C4—28no—
1582C4⋊C4—24no—
1583C4⋊C4—22no—
1584C4⋊C4—24no—
1585C4⋊C4—28no—
1586C4⋊C4—22no—
1587C4⋊C4—22no—
1588C4⋊C4—24no—
1589C4⋊C4—28no—
1590C4⋊C4—28no—
1591C4⋊C4—28no—
1592C4⋊C4—28no—
1593C4⋊C4—24no—
1594C4⋊C4—22no—
1595C4⋊C4—22no—
1596C4⋊C4—42no—
1597C4⋊C4—42no—
1598C4⋊C4—42no—
1599C4⋊C4—42no—
1600C4⋊C4—42no—
1601C4⋊C4—42no—
1602C4⋊C4—44no—
1603C4⋊C4—44no—
1604C4⋊C4—44no—
1605C4⋊C4—42no—
1606C4⋊C4—44no—
1607C4⋊C4—44no—
1608C4⋊C4C22×D418yes—
1609C4⋊C4C22×D4116yes—
1610C4⋊C4C22×D418yes—
1611C4⋊C4C22×D418yes—
1612C4⋊C4C22×D418yes—
1613C4⋊C4C22×D4116yes—
1614C4⋊C4C2×#4114yes—
1615C4⋊C4H(5,𝔽2)14yes—
1616C4⋊C4H(5,𝔽2)14yes—
1617C22⋊C4—24no—
1618C22⋊C4—22no—
1619C22⋊C4—22no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—28no—
1627C22⋊C4—28no—
1628C22⋊C4—22no—
1629C22⋊C4—22no—
1630C22⋊C4—28no—
1631C22⋊C4—24no—
1632C22⋊C4—28no—
1633C22⋊C4—28no—
1634C22⋊C4—22no—
1635C22⋊C4—24no—
1636C22⋊C4—22no—
1637C22⋊C4—28no—
1638C22⋊C4—28no—
1639C22⋊C4—28no—
1640C22⋊C4—24no—
1641C22⋊C4—28no—
1642C22⋊C4—28no—
1643C22⋊C4—28no—
1644C22⋊C4—28no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—28no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—28no—
1654C22⋊C4—24no—
1655C22⋊C4—28no—
1656C22⋊C4—24no—
1657C22⋊C4—28no—
1658C22⋊C4—28no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—42no—
1662C22⋊C4—42no—
1663C22⋊C4—44no—
1664C22⋊C4—42no—
1665C22⋊C4—42no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—42no—
1669C22⋊C4—42no—
1670C22⋊C4—44no—
1671C22⋊C4—42no—
1672C22⋊C4—42no—
1673C22⋊C4—42no—
1674C22⋊C4—42no—
1675C22⋊C4—42no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—42no—
1679C22⋊C4—42no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—42no—
1683C22⋊C4—42no—
1684C22⋊C4—42no—
1685C22⋊C4—42no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—44no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4C22×D4116yes—
1692C22⋊C4C2×#4118yes—
1693C42—22no—
1694C42—22no—
1695C42—22no—
1696C42—22no—
1697C42—22no—
1698C42—22no—
1699C42—28no—
1700C42—28no—
1701C42—24no—
1702C42—24no—
1703C42—28no—
1704C42—24no—
1705C42—24no—
1706C42—24no—
1707C42—28no—
1708C42—24no—
1709C42—28no—
1710C42—24no—
1711C42—24no—
1712C42—42no—
1713C42—42no—
1714C42—42no—
1715C42—42no—
1716C42—42no—
1717C42—44no—
1718C42C22×D414yes—
1719C42C22×D414yes—
1720C42C22×D414yes—
1721C42C22×D414yes—
1722C42C22×D4116yes—
1723C23—22no—
1724C23—21no—
1725C23—21no—
1726C23—21no—
1727C23—22no—
1728C23—21no—
1729C23—21no—
1730C23—22no—
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—22no—
1735C23—21no—
1736C23—22no—
1737C23—22no—
1738C23—21no—
1739C23—21no—
1740C23—21no—
1741C23—22no—
1742C23—21no—
1743C23—22no—
1744C23—24no—
1745C23—22no—
1746C23—22no—
1747C23—24no—
1748C23—21no—
1749C23—21no—
1750C23—22no—
1751C23—22no—
1752C23—24no—
1753C23—24no—
1754C23—22no—
1755C23—22no—
1756C23—21no—
1757C23—21no—
1758C23—22no—
1759C23—24no—
1760C23—22no—
1761C23—21no—
1762C23—22no—
1763C23—24no—
1764C23—24no—
1765C23—22no—
1766C23—22no—
1767C23—21no—
1768C23—22no—
1769C23—48no—
1770C23—48no—
1771C23—84no—
1772C23—84no—
1773C23—84no—
1774C23—84no—
1775C23—84no—
1776C23C23×D412yes—
1777C23C22×#4112yes—
1778C23C22×#4114yes—
1779C23C2611yescharacteristic
1780Q8—216no—
1781Q8—216no—
1782Q8—44no—
1783Q8—44no—
1784Q8—48no—
1785Q8—88no—
1786Q8—88no—
1787D4—28no—
1788D4—48no—
1789D4—48no—
1790D4—416no—
1791D4—48no—
1792D4—44no—
1793D4—44no—
1794D4—416no—
1795D4—416no—
1796D4—48no—
1797D4—44no—
1798D4—48no—
1799D4—44no—
1800D4—48no—
1801D4—44no—
1802D4—48no—
1803D4—88no—
1804D4—84no—
1805D4—84no—
1806D4—88no—
1807D4—88no—
1808D4—88no—
1809D4—88no—
1810D4—84no—
1811D4—84no—
1812D4—88no—
1813D4—88no—
1814D4—164no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—21no—
1818C2×C4—24no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—24no—
1823C2×C4—24no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—24no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—28no—
1836C2×C4—28no—
1837C2×C4—28no—
1838C2×C4—21no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—24no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—24no—
1864C2×C4—24no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—21no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—22no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—22no—
1886C2×C4—44no—
1887C2×C4—416no—
1888C2×C4—416no—
1889C2×C4—44no—
1890C2×C4—44no—
1891C2×C4—48no—
1892C2×C4—44no—
1893C2×C4—48no—
1894C2×C4—48no—
1895C2×C4—44no—
1896C2×C4—44no—
1897C2×C4—84no—
1898C2×C4—84no—
1899C2×C4—88no—
1900C2×C4—88no—
1901C2×C4—88no—
1902C2×C4—88no—
1903C2×C4—88no—
1904C2×C4—84no—
1905C2×C4C23×D412yes—
1906C2×C4C23×D418yes—
1907C2×C4C23×D412yes—
1908C2×C4C23×D412yes—
1909C2×C4C23×D412yes—
1910C2×C4C23×D418yes—
1911C2×C4C23×D412yes—
1912C2×C4C23×D412yes—
1913C2×C4C22×#4114yes—
1914C2×C4C22×#4112yes—
1915C2×C4C22×#4112yes—
1916C2×C4C2×H(5,𝔽2)14yes—
1917C2×C4C2×H(5,𝔽2)14yes—
1918C2×C4C2×H(5,𝔽2)12yes—
1919C2×C4C2×H(5,𝔽2)12yes—
1920C2×C4#58512yes—
1921C22—22no—
1922C22—24no—
1923C22—22no—
1924C22—24no—
1925C22—22no—
1926C22—22no—
1927C22—22no—
1928C22—22no—
1929C22—24no—
1930C22—41no—
1931C22—41no—
1932C22—41no—
1933C22—42no—
1934C22—41no—
1935C22—42no—
1936C22—41no—
1937C22—42no—
1938C22—41no—
1939C22—41no—
1940C22—42no—
1941C22—41no—
1942C22—42no—
1943C22—41no—
1944C22—44no—
1945C22—42no—
1946C22—42no—
1947C22—44no—
1948C22—41no—
1949C22—42no—
1950C22—42no—
1951C22—41no—
1952C22—42no—
1953C22—44no—
1954C22—41no—
1955C22—44no—
1956C22—42no—
1957C22—42no—
1958C22—41no—
1959C22—42no—
1960C22—42no—
1961C22—44no—
1962C22—42no—
1963C22—44no—
1964C22—41no—
1965C22—42no—
1966C22—44no—
1967C22—42no—
1968C22—41no—
1969C22—42no—
1970C22—816no—
1971C22C24×D411yescharacteristic
1972C22C23×#4111yescharacteristic
1973C22C22×H(5,𝔽2)11yescharacteristic
1974C22C22×H(5,𝔽2)11yescharacteristic
1975C22C2×#58511yescharacteristic
1976C222−1+611yescharacteristic
1977C222−1+611yescharacteristic
1978C4—24no—
1979C4—24no—
1980C4—22no—
1981C4—28no—
1982C4—22no—
1983C4—22no—
1984C4—24no—
1985C4—22no—
1986C4—22no—
1987C4—28no—
1988C4—42no—
1989C4—42no—
1990C4—41no—
1991C4—42no—
1992C4—42no—
1993C4—41no—
1994C4—44no—
1995C4—42no—
1996C4—41no—
1997C4—41no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—41no—
2004C4D4×#4114yes—
2005C4#349814yes—
2006C2—42no—
2007C2—44no—
2008C2—42no—
2009C2—82no—
2010C2—84no—
2011C2—81no—
2012C2—82no—
2013C2C2×D4×#4111yescharacteristic
2014C2C2×#349811yescharacteristic
2015C2#6284811yescharacteristic
2016C2#6292111yescharacteristic
2017C2#6292211yescharacteristic
2018C2#6298411yescharacteristic
2019C2#6298511yescharacteristic
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×#3511C2semidirect
2. C2×#3520C2semidirect
3. #59127C2semidirect
4. #59125C2semidirect
5. #59080C2semidirect
6. #59055C2semidirect
7. #59051C2semidirect
8. #59051C2semidirect
9. #59049C2semidirect
10. #59040C2semidirect
11. #59005C2semidirect
12. #59002C2semidirect
13. #59001C2semidirect
14. #58999C2semidirect
15. #45018C2semidirect
16. #44989C2semidirect
17. #44915C2semidirect
18. #44886C2semidirect
19. #44292C2semidirect
20. #44250C2semidirect
21. #39954C2semidirect
22. #39950C2semidirect
23. #39944C2semidirect
24. #38437C2semidirect
25. #36465C2semidirect
26. #36268C2semidirect
27. #35539C2semidirect
28. #35539C2semidirect
29. #35198C2semidirect
30. #35191C2semidirect
31. #34936C2semidirect
32. #34911C2semidirect
33. #34313C2semidirect
34. #34154C2semidirect
35. C4×#535C2semidirect
39. C2×#556C22semidirect
42. C2×#554C22semidirect
44. C2×#553C22semidirect
48. C2×#550C22semidirect
50. C2×D4×Q8C22semidirect
53. C2×#548C22semidirect
54. C2×#548C22semidirect
55. C2×#548C22semidirect
62. C2×#542C22semidirect
67. C2×#533C22semidirect
69. C2×#532C22semidirect
70. C2×#532C22semidirect
71. C22×C4⋊Q8C22semidirect
78. C2×#520C22semidirect
81. #2861C22semidirect
82. #2860C22semidirect
83. #2858C22semidirect
84. #2858C22semidirect
85. #2723C22semidirect
86. #2721C22semidirect
87. #2720C22semidirect
89. #2714C22semidirect
90. #2711C22semidirect
92. #2694C22semidirect
93. #2692C22semidirect
97. #2677C22semidirect
99. #2676C22semidirect
101. #2674C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
109. #2662C22semidirect
110. #2662C22semidirect
112. #2610C22semidirect
113. #2610C22semidirect
114. #2604C22semidirect
115. #2603C22semidirect
116. #2603C22semidirect
117. #2603C22semidirect
118. #2603C22semidirect
121. #2601C22semidirect
122. #2601C22semidirect
123. #2592C22semidirect
124. #2584C22semidirect
125. #2562C22semidirect
126. #2556C22semidirect
128. #2551C22semidirect
130. #2548C22semidirect
131. #2547C22semidirect
132. #2546C22semidirect
135. #2542C22semidirect
136. #2542C22semidirect
141. #2541C22semidirect
142. #2541C22semidirect
146. #2540C22semidirect
147. #2540C22semidirect
148. #2540C22semidirect
149. #2540C22semidirect
150. #2540C22semidirect
151. #2540C22semidirect
153. #2538C22semidirect
154. #2519C22semidirect
157. #2491C22semidirect
158. #2479C22semidirect
160. #2471C22semidirect
161. #2467C22semidirect
163. #2463C22semidirect
164. #2463C22semidirect
165. #2463C22semidirect
168. #2461C22semidirect
169. #2461C22semidirect
171. #2456C22semidirect
172. #2456C22semidirect
173. #2456C22semidirect
174. #2456C22semidirect
177. #2452C22semidirect
178. #2452C22semidirect
179. #2449C22semidirect
180. #2449C22semidirect
181. #2449C22semidirect
183. #2448C22semidirect
184. #2445C22semidirect
185. #2443C22semidirect
186. #2443C22semidirect
187. #2443C22semidirect
188. #2440C22semidirect
189. #2440C22semidirect
190. #2436C22semidirect
191. #2434C22semidirect
194. #2432C22semidirect
198. #2431C22semidirect
199. #2429C22semidirect
200. #2429C22semidirect
201. #2429C22semidirect
204. #2428C22semidirect
205. #2427C22semidirect
207. #2426C22semidirect
208. #2426C22semidirect
209. #2426C22semidirect
210. #2426C22semidirect
213. #2423C22semidirect
214. #2423C22semidirect
216. #2417C22semidirect
218. #2416C22semidirect
219. #2416C22semidirect
222. #2415C22semidirect
227. #2414C22semidirect
228. #2409C22semidirect
229. #2409C22semidirect
231. #2407C22semidirect
232. #2407C22semidirect
233. #2407C22semidirect
237. #2371C22semidirect
239. #2366C22semidirect
240. #2365C22semidirect
241. #2365C22semidirect
242. #2365C22semidirect
243. #2365C22semidirect
244. #2363C22semidirect
249. #2362C22semidirect
251. #2361C22semidirect
252. #2361C22semidirect
253. #2361C22semidirect
254. #2361C22semidirect
255. #2360C22semidirect
256. Q8×C4⋊C4C22semidirect
257. D4×C4⋊C4C22semidirect
258. D4×C4⋊C4C22semidirect
260. #2341C22semidirect
267. #2324C22semidirect
268. #2324C22semidirect
269. #2324C22semidirect
270. #2324C22semidirect
279. C4×#127C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
292. #2295C22semidirect
293. #2295C22semidirect
294. #2293C22semidirect
295. #2293C22semidirect
296. #2293C22semidirect
297. C42×Q8C22semidirect
298. C42×Q8C22semidirect
340. #533D4semidirect
1046. #121#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35112
C2×#35202
#591272
#591252
#590802
#590552
#590512
#590492
#590402
#590052
#590022
#590012
#589992
#450182
#449892
#449152
#448862
#442922
#442502
#399542
#399502
#399442
#384372
#364652
#362682
#355392
#351982
#351912
#349362
#349112
#343132
#341542
C4×#5352