Finite Group Databasebeta

← #7693179

Subgroups — #7693179

Order 512.

7827 conjugacy classes of subgroups.

The subgroup lattice has 1995 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3508C211yesmaximal, characteristic, complemented
2C2×#3506C211yesmaximal, characteristic, complemented
3#59568C212yesmaximal, complemented
4#59411C211yesmaximal, characteristic, complemented
5#59411C212yesmaximal, complemented
6#59407C214yesmaximal, complemented
7#59124C211yesmaximal, characteristic, complemented
8#59115C212yesmaximal, complemented
9#59064C211yesmaximal, characteristic, complemented
10#59000C212yesmaximal, complemented
11#45097C212yesmaximal, complemented
12#44876C212yesmaximal, complemented
13#43922C214yesmaximal, complemented
14#43038C214yesmaximal, complemented
15#39889C212yesmaximal, complemented
16#39885C212yesmaximal, complemented
17#39727C211yesmaximal, characteristic, complemented
18#39726C211yesmaximal, characteristic, complemented
19#39392C214yesmaximal, complemented
20#39355C212yesmaximal, complemented
21#36597C211yesmaximal, characteristic, complemented
22#36469C212yesmaximal, complemented
23#36419C211yesmaximal, characteristic, complemented
24#36405C211yesmaximal, characteristic, complemented
25#36218C212yesmaximal, complemented
26#36147C212yesmaximal, complemented
27#36121C211yesmaximal, characteristic, complemented
28#36101C211yesmaximal, characteristic, complemented
29#35808C212yesmaximal, complemented
30#35778C212yesmaximal, complemented
31#34929C211yesmaximal, characteristic, complemented
32#34743C212yesmaximal, complemented
33#34309C212yesmaximal, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3508—216no—
37#3506—216no—
38C2×#559C2212yescomplemented
39C2×#559C2211yescharacteristic, complemented
40C2×#559C2211yescharacteristic, complemented
41C2×#559C2212yescomplemented
42C2×#559C2212yescomplemented
43C2×#556C2211yescharacteristic, complemented
44C2×#556C2211yescharacteristic, complemented
45C2×#555C2212yescomplemented
46C2×#553C2214yescomplemented
47C2×#550C2211yescharacteristic
48C2×#550C2211yescharacteristic
49C2×#550C2212yes—
50C2×#550C2211yescharacteristic
51C2×#547C2212yescomplemented
52C2×#546C2212yes—
53C2×#546C2211yescharacteristic
54C2×#546C2214yescomplemented
55C2×#546C2212yescomplemented
56C2×#546C2212yescomplemented
57C2×#546C2212yescomplemented
58C2×#540C2214yescomplemented
59C2×#538C2214yescomplemented
60C2×#535C2212yes—
61C2×#535C2212yescomplemented
62C2×#533C2211yescharacteristic, complemented
63C2×#533C2211yescharacteristic, complemented
64C2×#532C2211yescharacteristic
65C2×#532C2212yescomplemented
66C2×#532C2212yescomplemented
67C22×#127C2211yescharacteristic, complemented
68C2×#525C2212yescomplemented
69C2×#525C2212yescomplemented
70C2×#525C2212yescomplemented
71C2×#520C2212yescomplemented
72C2×#518C2212yescomplemented
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2212yescomplemented
75C22×C4×D4C2211yescharacteristic, complemented
76#2858C2211yescharacteristic, complemented
77#2858C2212yescomplemented
78#2857C2211yescharacteristic, complemented
79#2856C2211yescharacteristic
80#2855C2212yescomplemented
81#2854C2214yescomplemented
82#2850C2212yescomplemented
83#2847C2212yescomplemented
84#2725C2214yescomplemented
85#2708C2214yescomplemented
86#2707C2214yescomplemented
87#2702C2214yescomplemented
88#2701C2214yescomplemented
89#2701C2214yescomplemented
90#2701C2214yescomplemented
91#2701C2214yescomplemented
92#2699C2214yescomplemented
93#2697C2214yescomplemented
94#2688C2214yescomplemented
95#2686C2214yescomplemented
96#2684C2214yescomplemented
97#2682C2214yescomplemented
98#2682C2214yescomplemented
99#2681C2214yescomplemented
100#2679C2214yes—
101#2679C2214yes—
102#2678C2214yescomplemented
103#2673C2214yescomplemented
104#2668C2214yescomplemented
105#2630C2214yescomplemented
106#2630C2214yescomplemented
107#2620C2212yes—
108#2620C2212yescomplemented
109#2602C2214yescomplemented
110#2602C2214yescomplemented
111#2592C2212yescomplemented
112#2592C2212yescomplemented
113#2582C2211yescharacteristic, complemented
114#2582C2212yescomplemented
115#2579C2214yescomplemented
116#2568C2211yescharacteristic, complemented
117#2559C2214yescomplemented
118#2559C2214yescomplemented
119#2557C2214yescomplemented
120#2557C2214yescomplemented
121#2556C2212yescomplemented
122#2556C2212yescomplemented
123#2554C2214yescomplemented
124#2554C2214yescomplemented
125#2551C2211yescharacteristic, complemented
126#2548C2211yescharacteristic, complemented
127#2547C2212yescomplemented
128#2546C2211yescharacteristic, complemented
129#2546C2211yescharacteristic, complemented
130#2545C2212yescomplemented
131#2545C2212yescomplemented
132#2544C2212yescomplemented
133#2544C2212yescomplemented
134#2544C2212yescomplemented
135#2544C2212yescomplemented
136#2544C2212yescomplemented
137#2543C2214yescomplemented
138#2542C2211yescharacteristic
139#2541C2211yescharacteristic
140#2541C2212yes—
141#2538C2211yescharacteristic
142#2538C2211yescharacteristic, complemented
143#2538C2212yescomplemented
144#2536C2212yescomplemented
145#2534C2214yescomplemented
146#2534C2214yescomplemented
147#2506C2212yescomplemented
148#2500C2212yescomplemented
149#2492C2211yescharacteristic, complemented
150#2492C2211yescharacteristic, complemented
151#2491C2214yescomplemented
152#2485C2212yescomplemented
153#2478C2214yescomplemented
154#2474C2214yescomplemented
155#2472C2214yescomplemented
156#2470C2214yescomplemented
157#2468C2214yescomplemented
158#2461C2214yescomplemented
159#2459C2214yescomplemented
160#2457C2214yescomplemented
161#2456C2214yescomplemented
162#2455C2214yescomplemented
163#2452C2212yes—
164#2452C2212yescomplemented
165#2447C2212yescomplemented
166#2447C2212yescomplemented
167#2447C2212yescomplemented
168#2447C2212yescomplemented
169#2445C2212yescomplemented
170#2445C2212yescomplemented
171#2445C2212yescomplemented
172#2445C2212yescomplemented
173#2445C2212yescomplemented
174#2444C2214yescomplemented
175#2439C2212yescomplemented
176#2435C2212yescomplemented
177#2433C2212yes—
178#2433C2212yescomplemented
179#2432C2212yes—
180#2432C2214yescomplemented
181#2432C2212yescomplemented
182#2432C2212yescomplemented
183#2432C2212yescomplemented
184#2431C2212yes—
185#2431C2212yescomplemented
186#2430C2214yescomplemented
187#2429C2212yescomplemented
188#2429C2211yescharacteristic, complemented
189#2429C2211yescharacteristic, complemented
190#2428C2212yes—
191#2428C2212yes—
192#2428C2212yescomplemented
193#2427C2212yescomplemented
194#2427C2214yescomplemented
195#2427C2212yescomplemented
196#2427C2212yescomplemented
197#2426C2212yescomplemented
198#2426C2212yescomplemented
199#2426C2212yescomplemented
200#2425C2214yescomplemented
201#2425C2214yescomplemented
202#2425C2214yescomplemented
203#2425C2214yescomplemented
204#2424C2214yes—
205#2424C2214yes—
206#2424C2214yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2422C2214yescomplemented
211#2422C2212yescomplemented
212#2422C2214yescomplemented
213#2420C2212yescomplemented
214#2419C2214yescomplemented
215#2418C2214yescomplemented
216#2418C2214yescomplemented
217#2415C2212yescomplemented
218#2415C2212yescomplemented
219#2414C2212yescomplemented
220#2413C2214yescomplemented
221#2411C2214yescomplemented
222#2410C2214yescomplemented
223#2408C2212yes—
224#2408C2212yes—
225#2408C2212yescomplemented
226#2407C2212yescomplemented
227#2404C2214yescomplemented
228#2396C2212yescomplemented
229#2396C2212yescomplemented
230#2392C2214yescomplemented
231#2392C2214yescomplemented
232#2367C2212yescomplemented
233#2367C2212yescomplemented
234#2367C2211yescharacteristic, complemented
235#2366C2212yescomplemented
236#2366C2212yescomplemented
237#2366C2211yescharacteristic, complemented
238#2365C2212yescomplemented
239#2364C2212yes—
240#2364C2214yescomplemented
241#2363C2211yescharacteristic
242#2363C2214yescomplemented
243#2363C2212yescomplemented
244#2363C2212yescomplemented
245#2363C2212yescomplemented
246#2362C2212yescomplemented
247#2361C2212yescomplemented
248#2360C2211yescharacteristic, complemented
249#2359C2214yescomplemented
250#2359C2212yescomplemented
251#2358C2214yes—
252#2358C2212yes—
253#2354C2211yescharacteristic, complemented
254#2354C2212yescomplemented
255#2352C2211yescharacteristic
256Q8×C4⋊C4C2211yescharacteristic, complemented
257#2349C2212yescomplemented
258#2349C2211yescharacteristic, complemented
259#2349C2212yescomplemented
260#2342C2214yescomplemented
261#2342C2212yescomplemented
262#2341C2212yescomplemented
263#2339C2211yescharacteristic
264#2339C2212yescomplemented
265#2339C2214yescomplemented
266#2339C2212yescomplemented
267D4×C22⋊C4C2212yescomplemented
268D4×C22⋊C4C2212yescomplemented
269D4×C22⋊C4C2212yescomplemented
270D4×C22⋊C4C2211yescharacteristic, complemented
271#2324C2212yescomplemented
272#2323C2212yescomplemented
273#2322C2214yescomplemented
274#2321C2214yes—
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2212yescomplemented
277C4×#127C2211yescharacteristic, complemented
278C4×#127C2212yescomplemented
279C4×#124C2212yescomplemented
280C4×#124C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×#123C2212yescomplemented
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2214yescomplemented
288C4×#121C2214yescomplemented
289C4×#121C2214yescomplemented
290C4×#121C2212yescomplemented
291C4×#120C2212yes—
292#2297C2212yescomplemented
293#2296C2212yescomplemented
294#2293C2212yes—
295C2×#388C2214yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2212yescomplemented
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2314yes—
306C22×#41C2312yes—
307C23×D4C2311yescharacteristic
308C23×D4C2312yes—
309C23×D4C2312yes—
310C23×D4C2312yes—
311C24×C4C2312yes—
312#559—216no—
313#559—28no—
314#559—28no—
315#559—216no—
316#559—216no—
317#556—28no—
318#556—28no—
319#555—216no—
320#553—232no—
321#550—28no—
322#550—216no—
323#550—28no—
324#550D4116yescomplemented
325#547—216no—
326#546—216no—
327#546—232no—
328#546—216no—
329#546—216no—
330#546—28no—
331#546—48no—
332#540—232no—
333#538—232no—
334#535—216no—
335#535—216no—
336#533—28no—
337#533—28no—
338#532—216no—
339#532—28no—
340#532—216no—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×#127—28no—
350C2×#127C2311yescharacteristic
351C2×#127C2312yes—
352C2×#127C2312yes—
353C2×#127C2312yes—
354C2×#127C2312yes—
355C2×#127C2312yes—
356C2×#127C2312yes—
357C2×#127C2311yescharacteristic
358C2×#127C2312yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2311yescharacteristic
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2314yes—
374C2×#124C2314yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377#525—216no—
378#525—216no—
379#525—48no—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2314yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#120C2314yes—
433C2×#120C2312yes—
434C2×#120C2314yes—
435C2×#120C2314yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438C2×#120C2314yes—
439C2×#120C2314yes—
440C2×#120C2314yes—
441C2×#120C2314yes—
442#520—216no—
443#518—216no—
444C4×#41—28no—
445C4×#41—48no—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×D4—28no—
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2314yes—
491C2×C4×D4C2314yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2314yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2312yes—
499C2×C4×D4C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2314yes—
504C2×#117C2311yescharacteristic
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2314yes—
509C22×C4⋊C4C2314yes—
510C22×C4⋊C4C2311yescharacteristic
511C22×C22⋊C4C2314yes—
512C22×C22⋊C4C2314yes—
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2314yes—
515C22×C22⋊C4C2312yes—
516C22×C22⋊C4C2312yes—
517C22×C22⋊C4C2314yes—
518C22×C42C2312yes—
519C22×C42C2311yescharacteristic
520C22×C42C2311yescharacteristic
521C22×C42C2312yes—
522C22×C42C2314yes—
523#400C2314yes—
524#400C2312yes—
525#400C2312yes—
526#399C2312yes—
527#399C2312yes—
528#398C2312yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2312yes—
552#396C2314yes—
553#396C2312yes—
554#396C2314yes—
555#396C2314yes—
556#396C2312yes—
557#396C2312yes—
558#396C2314yes—
559#395C2312yes—
560#395C2312yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
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#394C2314yes—
587#394C2314yes—
588#393C2314yes—
589#393C2314yes—
590#393C2312yes—
591#393C2312yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#391C2311yescharacteristic
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2312yes—
611#391C2314yes—
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2312yes—
615#391C2311yescharacteristic
616#391C2311yescharacteristic
617#390C2312yes—
618#390C2314yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2314yes—
624#390C2312yes—
625#390C2314yes—
626#390C2312yes—
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2311yescharacteristic
636#390C2312yes—
637#390C2314yes—
638#390C2314yes—
639#390C2314yes—
640#390C2314yes—
641#390C2312yes—
642#390C2314yes—
643#390C2314yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2314yes—
657#389C2312yes—
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2314yes—
661#389C2312yes—
662#389C2314yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2312yes—
669#389C2312yes—
670#389C2314yes—
671#389C2312yes—
672#389C2312yes—
673#389C2311yescharacteristic
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2312yes—
702#388C2314yes—
703#388C2312yes—
704#388C2312yes—
705#388C2314yes—
706#387C2312yes—
707#387C2314yes—
708#387C2314yes—
709#387C2312yes—
710#387C2314yes—
711#387C2314yes—
712#387C2312yes—
713#387C2312yes—
714#387C2312yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2312yes—
733#386C2312yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2312yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2312yes—
757#385C2312yes—
758#385C2314yes—
759#385C2312yes—
760#385C2312yes—
761#385C2312yes—
762#385C2314yes—
763#385C2314yes—
764#385C2312yes—
765#385C2312yes—
766#385C2314yes—
767#385C2314yes—
768#384C2311yescharacteristic
769#384C2312yes—
770#384C2312yes—
771#384C2311yescharacteristic
772#382C2312yes—
773#382C2311yescharacteristic
774#381C2314yes—
775#381C2312yes—
776#381C2314yes—
777#381C2314yes—
778#381C2314yes—
779#380C2311yescharacteristic
780#380C2314yes—
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2314yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2311yescharacteristic
792#380C2314yes—
793#379C2314yes—
794#379C2312yes—
795#379C2314yes—
796#379C2314yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C2×#95C2312yes—
845C2×#95C2312yes—
846C2×#95C2314yes—
847C2×#95C2314yes—
848C43C2311yescharacteristic
849C43C2312yes—
850C25C2414yes—
851C25C2412yes—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—28no—
855C2×#41—216no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—48no—
867C2×#41—44no—
868C2×#41—84no—
869C2×#41C2×D4116yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2412yes—
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×D4—24no—
878C22×D4—28no—
879C22×D4—28no—
880C22×D4—28no—
881C22×D4—24no—
882C22×D4—28no—
883C22×D4—44no—
884C22×D4—42no—
885C22×D4—44no—
886C22×D4—44no—
887C22×D4—44no—
888C22×D4—82no—
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2411yescharacteristic
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2412yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2412yes—
913C22×D4C2411yescharacteristic
914C23×C4—28no—
915C23×C4—44no—
916C23×C4—44no—
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2414yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2412yes—
929C23×C4C2414yes—
930C23×C4C2414yes—
931C23×C4C2414yes—
932C23×C4C2412yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2414yes—
940C4⋊Q8—24no—
941C4⋊Q8—24no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944C4⋊Q8—24no—
945C4⋊Q8—42no—
946C4⋊Q8—44no—
947C4⋊Q8—44no—
948#127—28no—
949#127—28no—
950#127—28no—
951#127—28no—
952#127—28no—
953#127—24no—
954#127—44no—
955#127C2×D418yes—
956#127C2×D4116yes—
957#126—216no—
958#126—216no—
959#125—28no—
960#125—28no—
961#124—28no—
962#124—28no—
963#124—28no—
964#124—28no—
965#124—28no—
966#124—216no—
967#124—216no—
968#124—216no—
969#124—28no—
970#124—28no—
971#124—28no—
972#124—24no—
973#124—44no—
974#124—44no—
975#123—216no—
976#123—216no—
977#123—216no—
978#123—216no—
979#123—216no—
980#123—216no—
981#123—216no—
982#123—28no—
983#123—216no—
984#123—216no—
985#123—48no—
986#123—48no—
987#123—84no—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—24no—
991C22⋊Q8—28no—
992C22⋊Q8—24no—
993C22⋊Q8—28no—
994C22⋊Q8—24no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—24no—
998C22⋊Q8—24no—
999C22⋊Q8—24no—
1000C22⋊Q8—44no—
1001C22⋊Q8—84no—
1002#121—28no—
1003#121—28no—
1004#121—216no—
1005#121—216no—
1006#121—28no—
1007#121—216no—
1008#121—216no—
1009#121—216no—
1010#121—216no—
1011#121—216no—
1012#121—216no—
1013#121—28no—
1014#121—28no—
1015#121—24no—
1016#121—28no—
1017#121—216no—
1018#121—28no—
1019#121—216no—
1020#121—48no—
1021#121—44no—
1022#121—44no—
1023#121—48no—
1024#121—82no—
1025#121C2×D4116yes—
1026#121C2×D4132yes—
1027#120—216no—
1028#120—216no—
1029#120—216no—
1030#120—216no—
1031#120—28no—
1032#120—216no—
1033#120—48no—
1034#120—48no—
1035#120—84no—
1036#120—84no—
1037C4×Q8—24no—
1038C4×Q8—28no—
1039C4×Q8—24no—
1040C4×Q8—24no—
1041C4×Q8—28no—
1042C4×Q8—24no—
1043C4×Q8—28no—
1044C4×Q8—24no—
1045C4×Q8—28no—
1046C4×Q8—42no—
1047C4×Q8—44no—
1048C4×Q8C2×D418yes—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—216no—
1054C4×D4—28no—
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—24no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—216no—
1070C4×D4—216no—
1071C4×D4—24no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—24no—
1075C4×D4—48no—
1076C4×D4—48no—
1077C4×D4—42no—
1078C4×D4—44no—
1079C4×D4—44no—
1080C4×D4—48no—
1081C4×D4—42no—
1082C4×D4—44no—
1083C4×D4—42no—
1084C4×D4—48no—
1085C4×D4—84no—
1086C4×D4—82no—
1087C4×D4C2×D418yes—
1088C4×D4C2×D4116yes—
1089C4×D4#4118yescomplemented
1090#117—28no—
1091#117—24no—
1092#117—28no—
1093#117—28no—
1094#117—28no—
1095#117—216no—
1096#117—28no—
1097#117—28no—
1098#117—48no—
1099C2×C4⋊C4—216no—
1100C2×C4⋊C4—24no—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C22⋊C4—216no—
1158C2×C22⋊C4—28no—
1159C2×C22⋊C4—216no—
1160C2×C22⋊C4—216no—
1161C2×C22⋊C4—28no—
1162C2×C22⋊C4—44no—
1163C2×C22⋊C4—48no—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2411yescharacteristic
1216C2×C22⋊C4C2411yescharacteristic
1217C2×C22⋊C4C2411yescharacteristic
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2411yescharacteristic
1234C2×C22⋊C4C2411yescharacteristic
1235C2×C42—28no—
1236C2×C42—24no—
1237C2×C42—24no—
1238C2×C42—48no—
1239C2×C42—44no—
1240C2×C42C2412yes—
1241C2×C42C2414yes—
1242C2×C42C2414yes—
1243C2×C42C2414yes—
1244C2×C42C2411yescharacteristic
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2412yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258C2×C42C2412yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2412yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2412yes—
1263C2×C42C2414yes—
1264C2×C42C2411yescharacteristic
1265C2×C42C2412yes—
1266C2×C42C2412yes—
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271#95C2412yes—
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2411yescharacteristic
1291#95C2412yes—
1292#95C2411yescharacteristic
1293#95C2414yes—
1294#95C2412yes—
1295#95C2411yescharacteristic
1296#95C2411yescharacteristic
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2414yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319C24—24no—
1320C24—28no—
1321C24—24no—
1322C24—28no—
1323C24—42no—
1324C24—42no—
1325C24—42no—
1326C24—44no—
1327C24—42no—
1328C24—42no—
1329C24—44no—
1330C24—44no—
1331C24—44no—
1332C24—44no—
1333C24C2512yes—
1334C24C2514yes—
1335C24C2512yes—
1336C24C2514yes—
1337C24C2511yescharacteristic
1338C24C2511yescharacteristic
1339#41—432no—
1340#41—416no—
1341#41—432no—
1342#41—816no—
1343#41—816no—
1344#41—832no—
1345C2×Q8—22no—
1346C2×Q8—24no—
1347C2×Q8—22no—
1348C2×Q8—24no—
1349C2×Q8—22no—
1350C2×Q8—24no—
1351C2×Q8—22no—
1352C2×Q8—24no—
1353C2×Q8—22no—
1354C2×Q8—22no—
1355C2×Q8—22no—
1356C2×Q8—22no—
1357C2×Q8—24no—
1358C2×Q8—22no—
1359C2×Q8—24no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—42no—
1363C2×Q8—42no—
1364C2×Q8—42no—
1365C2×Q8C22×D414yes—
1366C2×D4—24no—
1367C2×D4—28no—
1368C2×D4—24no—
1369C2×D4—28no—
1370C2×D4—28no—
1371C2×D4—24no—
1372C2×D4—28no—
1373C2×D4—28no—
1374C2×D4—28no—
1375C2×D4—28no—
1376C2×D4—28no—
1377C2×D4—28no—
1378C2×D4—24no—
1379C2×D4—28no—
1380C2×D4—22no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—22no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—28no—
1388C2×D4—22no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—28no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—28no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—22no—
1400C2×D4—432no—
1401C2×D4—416no—
1402C2×D4—44no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—42no—
1406C2×D4—44no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—42no—
1427C2×D4—44no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—816no—
1437C2×D4—816no—
1438C2×D4C22×D414yes—
1439C2×D4C22×D418yes—
1440C2×D4C22×D418yes—
1441C2×D4C22×D4116yes—
1442C2×D4C22×D418yes—
1443C2×D4C22×D4116yes—
1444C2×D4C2×#4114yes—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—28no—
1454C22×C4—28no—
1455C22×C4—28no—
1456C22×C4—24no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—28no—
1462C22×C4—24no—
1463C22×C4—22no—
1464C22×C4—24no—
1465C22×C4—22no—
1466C22×C4—24no—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—28no—
1474C22×C4—28no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—28no—
1478C22×C4—28no—
1479C22×C4—44no—
1480C22×C4—41no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—44no—
1487C22×C4—42no—
1488C22×C4—44no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—41no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—41no—
1500C22×C4—44no—
1501C22×C4—42no—
1502C22×C4—44no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—816no—
1511C22×C4C22×D418yes—
1512C22×C4C22×D4116yes—
1513C22×C4C2×#4114yes—
1514C22×C4C2×#4114yes—
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2511yescharacteristic
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2511yescharacteristic
1521C22×C4C2512yes—
1522C22×C4C2514yes—
1523C22×C4C2512yes—
1524C22×C4C2514yes—
1525C22×C4C2512yes—
1526C22×C4C2511yescharacteristic
1527C22×C4C2511yescharacteristic
1528C22×C4C2512yes—
1529C22×C4C2512yes—
1530C22×C4C2512yes—
1531C22×C4C2511yescharacteristic
1532C22×C4C2512yes—
1533C22×C4C2512yes—
1534C22×C4C2511yescharacteristic
1535C22×C4C2512yes—
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2512yes—
1541C22×C4C2511yescharacteristic
1542C22×C4C2511yescharacteristic
1543C22×C4C2511yescharacteristic
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—22no—
1547C4⋊C4—28no—
1548C4⋊C4—28no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—22no—
1552C4⋊C4—22no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—22no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—22no—
1569C4⋊C4—24no—
1570C4⋊C4—28no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—22no—
1576C4⋊C4—22no—
1577C4⋊C4—22no—
1578C4⋊C4—24no—
1579C4⋊C4—44no—
1580C4⋊C4—41no—
1581C4⋊C4—44no—
1582C4⋊C4—42no—
1583C4⋊C4—42no—
1584C4⋊C4—44no—
1585C4⋊C4—42no—
1586C4⋊C4—42no—
1587C4⋊C4—44no—
1588C4⋊C4—42no—
1589C4⋊C4—42no—
1590C4⋊C4—44no—
1591C4⋊C4—42no—
1592C4⋊C4—42no—
1593C4⋊C4—42no—
1594C4⋊C4—44no—
1595C4⋊C4C22×D414yes—
1596C4⋊C4C22×D414yes—
1597C4⋊C4C22×D418yes—
1598C4⋊C4C2×#4114yes—
1599C4⋊C4H(5,𝔽2)14yes—
1600C22⋊C4—28no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—28no—
1606C22⋊C4—28no—
1607C22⋊C4—28no—
1608C22⋊C4—28no—
1609C22⋊C4—28no—
1610C22⋊C4—28no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—28no—
1616C22⋊C4—28no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—28no—
1623C22⋊C4—28no—
1624C22⋊C4—28no—
1625C22⋊C4—28no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—28no—
1629C22⋊C4—24no—
1630C22⋊C4—28no—
1631C22⋊C4—24no—
1632C22⋊C4—28no—
1633C22⋊C4—24no—
1634C22⋊C4—28no—
1635C22⋊C4—28no—
1636C22⋊C4—28no—
1637C22⋊C4—24no—
1638C22⋊C4—22no—
1639C22⋊C4—24no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—42no—
1646C22⋊C4—41no—
1647C22⋊C4—41no—
1648C22⋊C4—44no—
1649C22⋊C4—41no—
1650C22⋊C4—44no—
1651C22⋊C4—42no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—42no—
1658C22⋊C4—42no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—42no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4C22×D418yes—
1668C22⋊C4C22×D4116yes—
1669C22⋊C4C2×#4114yes—
1670C22⋊C4C2×#4114yes—
1671C42—22no—
1672C42—24no—
1673C42—22no—
1674C42—22no—
1675C42—22no—
1676C42—24no—
1677C42—24no—
1678C42—22no—
1679C42—22no—
1680C42—28no—
1681C42—28no—
1682C42—24no—
1683C42—24no—
1684C42—24no—
1685C42—22no—
1686C42—28no—
1687C42—24no—
1688C42—22no—
1689C42—22no—
1690C42—24no—
1691C42—42no—
1692C42—42no—
1693C42—44no—
1694C42—41no—
1695C42—41no—
1696C42—42no—
1697C42—42no—
1698C42—42no—
1699C42C22×D414yes—
1700C42C22×D418yes—
1701C42C2×#4114yes—
1702C23—21no—
1703C23—21no—
1704C23—22no—
1705C23—24no—
1706C23—21no—
1707C23—22no—
1708C23—21no—
1709C23—24no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—22no—
1715C23—24no—
1716C23—22no—
1717C23—22no—
1718C23—21no—
1719C23—21no—
1720C23—24no—
1721C23—24no—
1722C23—22no—
1723C23—24no—
1724C23—21no—
1725C23—21no—
1726C23—22no—
1727C23—24no—
1728C23—22no—
1729C23—24no—
1730C23—24no—
1731C23—22no—
1732C23—22no—
1733C23—24no—
1734C23—24no—
1735C23—24no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—24no—
1740C23—48no—
1741C23—416no—
1742C23—48no—
1743C23—84no—
1744C23—84no—
1745C23—84no—
1746C23—88no—
1747C23—88no—
1748C23—88no—
1749C23—88no—
1750C23—84no—
1751C23—84no—
1752C23—164no—
1753C23—164no—
1754C23C23×D414yes—
1755C23C23×D418yes—
1756C23C22×#4112yes—
1757C23C22×#4112yes—
1758C23C2611yescharacteristic
1759Q8—28no—
1760Q8—48no—
1761Q8—44no—
1762Q8—48no—
1763Q8—44no—
1764Q8—44no—
1765Q8—84no—
1766D4—28no—
1767D4—216no—
1768D4—216no—
1769D4—48no—
1770D4—416no—
1771D4—416no—
1772D4—44no—
1773D4—48no—
1774D4—416no—
1775D4—416no—
1776D4—416no—
1777D4—48no—
1778D4—44no—
1779D4—48no—
1780D4—48no—
1781D4—88no—
1782D4—84no—
1783D4—88no—
1784D4—84no—
1785D4—88no—
1786D4—88no—
1787D4—88no—
1788D4—88no—
1789D4—88no—
1790D4—164no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—28no—
1812C2×C4—28no—
1813C2×C4—216no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—24no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—24no—
1827C2×C4—22no—
1828C2×C4—24no—
1829C2×C4—22no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—24no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—24no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—24no—
1861C2×C4—21no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—416no—
1866C2×C4—44no—
1867C2×C4—416no—
1868C2×C4—48no—
1869C2×C4—48no—
1870C2×C4—44no—
1871C2×C4—48no—
1872C2×C4—44no—
1873C2×C4—84no—
1874C2×C4—88no—
1875C2×C4—82no—
1876C2×C4—88no—
1877C2×C4—84no—
1878C2×C4—84no—
1879C2×C4—88no—
1880C2×C4—88no—
1881C2×C4—84no—
1882C2×C4—88no—
1883C2×C4—88no—
1884C2×C4—84no—
1885C2×C4C23×D414yes—
1886C2×C4C23×D414yes—
1887C2×C4C23×D412yes—
1888C2×C4C23×D414yes—
1889C2×C4C23×D412yes—
1890C2×C4C23×D412yes—
1891C2×C4C22×#4112yes—
1892C2×C4C22×#4112yes—
1893C2×C4C22×#4112yes—
1894C2×C4C22×#4112yes—
1895C2×C4C22×#4112yes—
1896C2×C4C2×H(5,𝔽2)14yes—
1897C2×C4C2×H(5,𝔽2)12yes—
1898C2×C4#58512yes—
1899C2×C4#58512yes—
1900C2×C4#58512yes—
1901C22—22no—
1902C22—22no—
1903C22—24no—
1904C22—28no—
1905C22—24no—
1906C22—28no—
1907C22—22no—
1908C22—22no—
1909C22—22no—
1910C22—22no—
1911C22—24no—
1912C22—28no—
1913C22—42no—
1914C22—44no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—42no—
1920C22—44no—
1921C22—41no—
1922C22—41no—
1923C22—42no—
1924C22—44no—
1925C22—42no—
1926C22—41no—
1927C22—44no—
1928C22—41no—
1929C22—42no—
1930C22—44no—
1931C22—44no—
1932C22—42no—
1933C22—42no—
1934C22—44no—
1935C22—42no—
1936C22—44no—
1937C22—42no—
1938C22—44no—
1939C22—42no—
1940C22—44no—
1941C22—42no—
1942C22—44no—
1943C22—816no—
1944C22—1616no—
1945C22C24×D411yescharacteristic
1946C22C23×#4111yescharacteristic
1947C22C22×H(5,𝔽2)11yescharacteristic
1948C22C2×#58511yescharacteristic
1949C22C2×#58511yescharacteristic
1950C22C2×#58511yescharacteristic
1951C22H(7,𝔽2)11yescharacteristic
1952C4—22no—
1953C4—22no—
1954C4—22no—
1955C4—24no—
1956C4—24no—
1957C4—24no—
1958C4—24no—
1959C4—22no—
1960C4—22no—
1961C4—22no—
1962C4—42no—
1963C4—44no—
1964C4—42no—
1965C4—42no—
1966C4—41no—
1967C4—42no—
1968C4—42no—
1969C4—41no—
1970C4—41no—
1971C4—42no—
1972C4—42no—
1973C4—41no—
1974C4—42no—
1975C4—42no—
1976C4—44no—
1977C4—41no—
1978C4—42no—
1979C4D4×#4114yes—
1980C4#349614yes—
1981C2—44no—
1982C2—42no—
1983C2—48no—
1984C2—42no—
1985C2—82no—
1986C2—84no—
1987C2C2×D4×#4111yescharacteristic
1988C2C2×#349611yescharacteristic
1989C2#6281511yescharacteristic
1990C2#6296611yescharacteristic
1991C2#6298611yescharacteristic
1992C2#6298711yescharacteristic
1993C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3508C2semidirect
2. C2×#3506C2semidirect
3. #59568C2semidirect
4. #59411C2semidirect
5. #59411C2semidirect
6. #59407C2semidirect
7. #59124C2semidirect
8. #59115C2semidirect
9. #59064C2semidirect
10. #59000C2semidirect
11. #45097C2semidirect
12. #44876C2semidirect
13. #43922C2semidirect
14. #43038C2semidirect
15. #39889C2semidirect
16. #39885C2semidirect
17. #39727C2semidirect
18. #39726C2semidirect
19. #39392C2semidirect
20. #39355C2semidirect
21. #36597C2semidirect
22. #36469C2semidirect
23. #36419C2semidirect
24. #36405C2semidirect
25. #36218C2semidirect
26. #36147C2semidirect
27. #36121C2semidirect
28. #36101C2semidirect
29. #35808C2semidirect
30. #35778C2semidirect
31. #34929C2semidirect
32. #34743C2semidirect
33. #34309C2semidirect
34. C4×#550C2semidirect
35. C4×#546C2semidirect
38. C2×#559C22semidirect
39. C2×#559C22semidirect
40. C2×#559C22semidirect
41. C2×#559C22semidirect
42. C2×#559C22semidirect
43. C2×#556C22semidirect
44. C2×#556C22semidirect
45. C2×#555C22semidirect
46. C2×#553C22semidirect
51. C2×#547C22semidirect
54. C2×#546C22semidirect
55. C2×#546C22semidirect
56. C2×#546C22semidirect
57. C2×#546C22semidirect
58. C2×#540C22semidirect
59. C2×#538C22semidirect
61. C2×#535C22semidirect
62. C2×#533C22semidirect
63. C2×#533C22semidirect
65. C2×#532C22semidirect
66. C2×#532C22semidirect
67. C22×#127C22semidirect
68. C2×#525C22semidirect
69. C2×#525C22semidirect
70. C2×#525C22semidirect
71. C2×#520C22semidirect
72. C2×#518C22semidirect
74. C2×C4×#41C22semidirect
75. C22×C4×D4C22semidirect
76. #2858C22semidirect
77. #2858C22semidirect
78. #2857C22semidirect
80. #2855C22semidirect
81. #2854C22semidirect
82. #2850C22semidirect
83. #2847C22semidirect
84. #2725C22semidirect
85. #2708C22semidirect
86. #2707C22semidirect
87. #2702C22semidirect
88. #2701C22semidirect
89. #2701C22semidirect
90. #2701C22semidirect
91. #2701C22semidirect
92. #2699C22semidirect
93. #2697C22semidirect
94. #2688C22semidirect
95. #2686C22semidirect
96. #2684C22semidirect
97. #2682C22semidirect
98. #2682C22semidirect
99. #2681C22semidirect
102. #2678C22semidirect
103. #2673C22semidirect
104. #2668C22semidirect
105. #2630C22semidirect
106. #2630C22semidirect
108. #2620C22semidirect
109. #2602C22semidirect
110. #2602C22semidirect
111. #2592C22semidirect
112. #2592C22semidirect
113. #2582C22semidirect
114. #2582C22semidirect
115. #2579C22semidirect
116. #2568C22semidirect
117. #2559C22semidirect
118. #2559C22semidirect
119. #2557C22semidirect
120. #2557C22semidirect
121. #2556C22semidirect
122. #2556C22semidirect
123. #2554C22semidirect
124. #2554C22semidirect
125. #2551C22semidirect
126. #2548C22semidirect
127. #2547C22semidirect
128. #2546C22semidirect
129. #2546C22semidirect
130. #2545C22semidirect
131. #2545C22semidirect
132. #2544C22semidirect
133. #2544C22semidirect
134. #2544C22semidirect
135. #2544C22semidirect
136. #2544C22semidirect
137. #2543C22semidirect
142. #2538C22semidirect
143. #2538C22semidirect
144. #2536C22semidirect
145. #2534C22semidirect
146. #2534C22semidirect
147. #2506C22semidirect
148. #2500C22semidirect
149. #2492C22semidirect
150. #2492C22semidirect
151. #2491C22semidirect
152. #2485C22semidirect
153. #2478C22semidirect
154. #2474C22semidirect
155. #2472C22semidirect
156. #2470C22semidirect
157. #2468C22semidirect
158. #2461C22semidirect
159. #2459C22semidirect
160. #2457C22semidirect
161. #2456C22semidirect
162. #2455C22semidirect
164. #2452C22semidirect
165. #2447C22semidirect
166. #2447C22semidirect
167. #2447C22semidirect
168. #2447C22semidirect
169. #2445C22semidirect
170. #2445C22semidirect
171. #2445C22semidirect
172. #2445C22semidirect
173. #2445C22semidirect
174. #2444C22semidirect
175. #2439C22semidirect
176. #2435C22semidirect
178. #2433C22semidirect
180. #2432C22semidirect
181. #2432C22semidirect
182. #2432C22semidirect
183. #2432C22semidirect
185. #2431C22semidirect
186. #2430C22semidirect
187. #2429C22semidirect
188. #2429C22semidirect
189. #2429C22semidirect
192. #2428C22semidirect
193. #2427C22semidirect
194. #2427C22semidirect
195. #2427C22semidirect
196. #2427C22semidirect
197. #2426C22semidirect
198. #2426C22semidirect
199. #2426C22semidirect
200. #2425C22semidirect
201. #2425C22semidirect
202. #2425C22semidirect
203. #2425C22semidirect
206. #2424C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
210. #2422C22semidirect
211. #2422C22semidirect
212. #2422C22semidirect
213. #2420C22semidirect
214. #2419C22semidirect
215. #2418C22semidirect
216. #2418C22semidirect
217. #2415C22semidirect
218. #2415C22semidirect
219. #2414C22semidirect
220. #2413C22semidirect
221. #2411C22semidirect
222. #2410C22semidirect
225. #2408C22semidirect
226. #2407C22semidirect
227. #2404C22semidirect
228. #2396C22semidirect
229. #2396C22semidirect
230. #2392C22semidirect
231. #2392C22semidirect
232. #2367C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
235. #2366C22semidirect
236. #2366C22semidirect
237. #2366C22semidirect
238. #2365C22semidirect
240. #2364C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2363C22semidirect
246. #2362C22semidirect
247. #2361C22semidirect
248. #2360C22semidirect
249. #2359C22semidirect
250. #2359C22semidirect
253. #2354C22semidirect
254. #2354C22semidirect
256. Q8×C4⋊C4C22semidirect
257. #2349C22semidirect
258. #2349C22semidirect
259. #2349C22semidirect
260. #2342C22semidirect
261. #2342C22semidirect
262. #2341C22semidirect
264. #2339C22semidirect
265. #2339C22semidirect
266. #2339C22semidirect
267. D4×C22⋊C4C22semidirect
268. D4×C22⋊C4C22semidirect
269. D4×C22⋊C4C22semidirect
270. D4×C22⋊C4C22semidirect
271. #2324C22semidirect
272. #2323C22semidirect
273. #2322C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×#127C22semidirect
278. C4×#127C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×#123C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
292. #2297C22semidirect
293. #2296C22semidirect
295. C2×#388C22semidirect
296. C42×Q8C22semidirect
298. C42×D4C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
324. #550D4semidirect
1089. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35082
C2×#35062
#595682
#594112
#594072
#591242
#591152
#590642
#590002
#450972
#448762
#439222
#430382
#398892
#398852
#397272
#397262
#393922
#393552
#365972
#364692
#364192
#364052
#362182
#361472
#361212
#361012
#358082
#357782
#349292
#347432
#343092
C4×#5502
C4×#5462