Finite Group Databasebeta

← #7664769

Subgroups — #7664769

Order 512.

7589 conjugacy classes of subgroups.

The subgroup lattice has 2000 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3481C211yesmaximal, characteristic, complemented
2C22×#553C211yesmaximal, characteristic, complemented
3#39952C212yesmaximal, complemented
4#39948C212yesmaximal, complemented
5#39942C214yesmaximal, complemented
6#39940C214yesmaximal, complemented
7#39856C212yesmaximal, complemented
8#39852C212yesmaximal, complemented
9#39846C214yesmaximal, complemented
10#39844C214yesmaximal, complemented
11#39466C211yesmaximal, characteristic, complemented
12#39460C212yesmaximal, complemented
13#39338C211yesmaximal, characteristic, complemented
14#39332C212yesmaximal, complemented
15#38916C211yesmaximal, characteristic, complemented
16#38913C212yesmaximal, complemented
17#38904C211yesmaximal, characteristic, complemented
18#38901C212yesmaximal, complemented
19#36581C211yesmaximal, characteristic, complemented
20#36546C211yesmaximal, characteristic, complemented
21#36517C211yesmaximal, characteristic, complemented
22#36516C211yesmaximal, characteristic, complemented
23#36471C212yesmaximal, complemented
24#36468C212yesmaximal, complemented
25#36440C212yesmaximal, complemented
26#36436C212yesmaximal, complemented
27#35139C211yesmaximal, characteristic, complemented
28#35138C211yesmaximal, characteristic, complemented
29#35102C211yesmaximal, characteristic, complemented
30#35064C212yesmaximal, complemented
31#35062C212yesmaximal, complemented
32#35031C212yesmaximal, complemented
33#34126C211yesmaximal, characteristic, complemented
34C4×#535C211yesmaximal, characteristic, complemented
35C4×#534C212yesmaximal, complemented
36#3481—216no—
37C2×#559C2211yescharacteristic, complemented
38C2×#554C2211yescharacteristic
39C2×#554C2211yescharacteristic, complemented
40C2×#553—216no—
41C2×#553C2212yes—
42C2×#553C2212yes—
43C2×#553C2211yescharacteristic
44C2×#553C2212yescomplemented
45C2×#553C2214yescomplemented
46C2×#553C2211yescharacteristic, complemented
47C2×#553C2212yescomplemented
48C2×#553C2214yescomplemented
49C2×#553C2212yescomplemented
50C2×#551C2212yes—
51C2×#551C2212yescomplemented
52C2×#546C2211yescharacteristic
53C2×#546C2212yes—
54C2×#546C2211yescharacteristic, complemented
55C2×D42C2211yescharacteristic
56C2×#535C2211yescharacteristic
57C2×#534C2212yes—
58C2×#532C2211yescharacteristic, complemented
59C2×#529C2211yescharacteristic
60C2×#529C2212yescomplemented
61C2×#529C2211yescharacteristic, complemented
62C22×#126C2212yescomplemented
63C22×#125C2211yescharacteristic, complemented
64C2×#525C2212yes—
65C2×#525C2212yescomplemented
66C22×#123C2212yescomplemented
67C22×#121C2211yescharacteristic
68C22×#121C2211yescharacteristic
69C22×#121C2212yescomplemented
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic, complemented
72C22×C4×D4C2212yes—
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2211yescharacteristic, complemented
75C22×C4×D4C2212yescomplemented
76C22×C4×D4C2211yescharacteristic, complemented
77C22×#117C2211yescharacteristic, complemented
78C23×C4⋊C4C2211yescharacteristic, complemented
79#2861C2212yescomplemented
80#2859C2212yescomplemented
81#2855C2212yescomplemented
82#2854C2214yescomplemented
83#2854C2214yescomplemented
84#2854C2212yescomplemented
85#2853C2214yescomplemented
86#2851C2212yescomplemented
87#2851C2212yescomplemented
88#2849C2214yescomplemented
89#2848C2211yescharacteristic, complemented
90#2848C2211yescharacteristic, complemented
91#2848C2212yescomplemented
92#2847C2211yescharacteristic
93#2847C2211yescharacteristic
94#2847C2212yescomplemented
95#2722C2214yescomplemented
96#2718C2214yescomplemented
97#2715C2214yescomplemented
98#2708C2214yescomplemented
99#2708C2214yescomplemented
100#2703C2214yescomplemented
101#2698C2214yescomplemented
102#2695C2214yescomplemented
103#2691C2214yescomplemented
104#2691C2214yescomplemented
105#2689C2214yescomplemented
106#2688C2214yescomplemented
107#2688C2214yescomplemented
108#2685C2214yescomplemented
109#2681C2214yescomplemented
110#2676C2214yescomplemented
111#2675C2214yescomplemented
112#2672C2214yescomplemented
113#2671C2214yescomplemented
114#2671C2214yescomplemented
115#2671C2214yescomplemented
116#2669C2214yescomplemented
117#2668C2214yescomplemented
118#2668C2214yescomplemented
119#2664C2214yescomplemented
120#2663C2214yescomplemented
121#2661C2214yescomplemented
122#2634C2212yescomplemented
123#2633C2212yescomplemented
124#2630C2214yescomplemented
125#2630C2214yescomplemented
126#2623C2212yescomplemented
127#2622C2212yes—
128#2622C2212yescomplemented
129#2613C2212yes—
130#2613C2212yescomplemented
131#2613C2212yescomplemented
132#2611C2212yescomplemented
133#2611C2212yescomplemented
134#2611C2214yescomplemented
135#2603C2214yescomplemented
136#2602C2214yescomplemented
137#2602C2214yescomplemented
138#2602C2214yescomplemented
139#2602C2214yescomplemented
140#2602C2214yescomplemented
141#2602C2214yescomplemented
142#2600C2214yescomplemented
143#2600C2214yescomplemented
144#2598C2214yescomplemented
145#2591C2212yescomplemented
146#2584C2212yescomplemented
147#2583C2212yescomplemented
148#2579C2212yes—
149#2579C2212yescomplemented
150#2566C2212yescomplemented
151#2565C2212yescomplemented
152#2562C2212yescomplemented
153#2562C2212yescomplemented
154#2561C2212yescomplemented
155#2559C2214yescomplemented
156#2559C2214yescomplemented
157#2555C2214yescomplemented
158#2553C2214yescomplemented
159#2540C2212yescomplemented
160#2539C2212yescomplemented
161#2537C2212yescomplemented
162#2537C2212yescomplemented
163#2536C2212yescomplemented
164#2535C2212yescomplemented
165#2535C2212yescomplemented
166#2535C2212yescomplemented
167#2534C2212yes—
168#2534C2212yescomplemented
169#2521C2214yescomplemented
170#2504C2211yescharacteristic
171#2503C2211yescharacteristic, complemented
172#2502C2211yescharacteristic, complemented
173#2501C2211yescharacteristic
174#2498C2214yescomplemented
175#2496C2214yescomplemented
176#2487C2211yescharacteristic
177#2487C2211yescharacteristic, complemented
178#2486C2211yescharacteristic
179#2486C2211yescharacteristic, complemented
180#2485C2214yescomplemented
181#2484C2212yescomplemented
182#2483C2212yescomplemented
183#2481C2214yescomplemented
184#2480C2214yescomplemented
185#2479C2214yescomplemented
186#2478C2214yescomplemented
187#2477C2214yescomplemented
188#2476C2214yescomplemented
189#2475C2214yescomplemented
190#2473C2214yescomplemented
191#2471C2214yescomplemented
192#2468C2214yescomplemented
193#2466C2214yescomplemented
194#2464C2214yescomplemented
195#2464C2214yescomplemented
196#2456C2214yescomplemented
197#2449C2214yescomplemented
198#2443C2214yescomplemented
199#2442C2212yescomplemented
200#2441C2212yescomplemented
201#2440C2212yescomplemented
202#2439C2212yescomplemented
203#2430C2214yescomplemented
204#2428C2214yescomplemented
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2427C2212yescomplemented
208#2427C2212yescomplemented
209#2424C2214yescomplemented
210#2422C2212yescomplemented
211#2422C2212yescomplemented
212#2420C2212yescomplemented
213#2420C2212yescomplemented
214#2417C2212yescomplemented
215#2416C2212yescomplemented
216#2415C2214yescomplemented
217#2415C2212yescomplemented
218#2414C2214yescomplemented
219#2414C2212yescomplemented
220#2413C2212yescomplemented
221#2413C2214yescomplemented
222#2413C2212yescomplemented
223#2412C2212yes—
224#2412C2212yescomplemented
225#2411C2214yescomplemented
226#2410C2212yes—
227#2410C2212yescomplemented
228#2408C2212yescomplemented
229#2408C2212yescomplemented
230#2407C2212yescomplemented
231#2407C2212yescomplemented
232#2407C2214yescomplemented
233#2406C2212yes—
234#2405C2212yes—
235#2405C2212yescomplemented
236#2403C2212yes—
237#2363C2212yescomplemented
238#2362C2212yescomplemented
239#2361C2212yescomplemented
240#2360C2212yescomplemented
241#2357C2212yescomplemented
242#2354C2212yescomplemented
243#2353C2214yescomplemented
244#2352C2212yescomplemented
245#2352C2212yescomplemented
246#2349C2212yescomplemented
247D4×C4⋊C4C2212yescomplemented
248#2345C2211yescharacteristic, complemented
249#2345C2211yescharacteristic, complemented
250#2342C2212yescomplemented
251#2342C2212yescomplemented
252D4×C22⋊C4C2211yescharacteristic
253D4×C22⋊C4C2211yescharacteristic
254#2328C2212yescomplemented
255#2326C2212yescomplemented
256#2325C2214yescomplemented
257#2325C2214yescomplemented
258#2324C2212yescomplemented
259#2324C2212yescomplemented
260#2322C2212yes—
261#2322C2214yescomplemented
262#2322C2212yescomplemented
263#2322C2212yescomplemented
264#2322C2212yescomplemented
265#2321C2211yescharacteristic
266#2321C2211yescharacteristic
267#2321C2214yescomplemented
268#2321C2212yescomplemented
269#2321C2212yescomplemented
270#2321C2211yescharacteristic, complemented
271#2321C2211yescharacteristic, complemented
272#2317C2211yescharacteristic, complemented
273#2315C2212yescomplemented
274#2311C2211yescharacteristic
275#2309C2211yescharacteristic, complemented
276#2308C2212yes—
277#2308C2212yescomplemented
278C4×#127C2212yescomplemented
279C4×#124C2212yescomplemented
280C4×#123C2212yes—
281C4×#123C2212yescomplemented
282C4×#123C2214yescomplemented
283C4×#121C2214yescomplemented
284C4×#121C2214yescomplemented
285C4×#121C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#120C2212yes—
288C4×#120C2211yescharacteristic
289C4×#120C2211yescharacteristic
290C4×#120C2211yescharacteristic, complemented
291C4×#120C2212yescomplemented
292C4×#120C2214yescomplemented
293C4×#120C2211yescharacteristic, complemented
294#2293C2212yescomplemented
295#2290C2214yescomplemented
296#2283C2211yescharacteristic, complemented
297#2280C2212yescomplemented
298C42×D4C2212yescomplemented
299C4×#117C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C23×D4C2312yes—
309C23×D4C2311yescharacteristic
310C24×C4C2311yescharacteristic
311C24×C4C2311yescharacteristic
312C24×C4C2312yes—
313C24×C4C2312yes—
314C24×C4C2312yes—
315#559—28no—
316#554—28no—
317#554—28no—
318#553—216no—
319#553—216no—
320#553—232no—
321#553—216no—
322#553—232no—
323#553—216no—
324#553—216no—
325#553—28no—
326#553—28no—
327#551—216no—
328#551—216no—
329#546—28no—
330#546—28no—
331#546—216no—
332D42—28no—
333#535—28no—
334#534—216no—
335#532—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×#127C2312yes—
338C2×#127C2311yescharacteristic
339#529—216no—
340#529—28no—
341#529—28no—
342C2×#126—216no—
343C2×#126C2312yes—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#125—28no—
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#124C2312yes—
360C2×#124C2311yescharacteristic
361C2×#124C2311yescharacteristic
362C2×#124C2312yes—
363C2×#124C2312yes—
364#525—216no—
365#525—216no—
366C2×#123—216no—
367C2×#123C2312yes—
368C2×#123C2312yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2312yes—
373C2×#123C2312yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×#121—28no—
396C2×#121—28no—
397C2×#121—216no—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2311yescharacteristic
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2311yescharacteristic
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#120C2311yescharacteristic
428C2×#120C2312yes—
429C2×#120C2311yescharacteristic
430C2×#120C2314yes—
431C2×#120C2311yescharacteristic
432C2×#120C2312yes—
433C2×#120C2312yes—
434C2×#120C2312yes—
435C2×#120C2312yes—
436C2×#120C2312yes—
437C2×#120C2314yes—
438C2×#120C2311yescharacteristic
439C4×#41—28no—
440C4×#41—28no—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×D4—216no—
446C2×C4×D4—216no—
447C2×C4×D4—28no—
448C2×C4×D4—28no—
449C2×C4×D4D4116yescomplemented
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×#117—28no—
494C2×#117C2311yescharacteristic
495C2×#117C2311yescharacteristic
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2314yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C2×#117C2314yes—
507C22×C4⋊C4—28no—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2314yes—
517C22×C4⋊C4C2311yescharacteristic
518C22×C4⋊C4C2312yes—
519C22×C4⋊C4C2311yescharacteristic
520C22×C22⋊C4C2312yes—
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2312yes—
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2311yescharacteristic
525C22×C22⋊C4C2311yescharacteristic
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2312yes—
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2312yes—
530C22×C22⋊C4C2312yes—
531C22×C42C2311yescharacteristic
532C22×C42C2311yescharacteristic
533C22×C42C2312yes—
534C22×C42C2312yes—
535C22×C42C2314yes—
536C22×C42C2311yescharacteristic
537#400C2314yes—
538#400C2314yes—
539#400C2314yes—
540#400C2312yes—
541#400C2312yes—
542#400C2314yes—
543#399C2314yes—
544#399C2312yes—
545#399C2312yes—
546#399C2314yes—
547#399C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2312yes—
556#398C2312yes—
557#398C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2312yes—
569#397C2312yes—
570#397C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#395C2314yes—
578#395C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#393C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2314yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2314yes—
630#390C2312yes—
631#390C2312yes—
632#390C2314yes—
633#390C2314yes—
634#390C2314yes—
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2314yes—
639#389C2314yes—
640#389C2314yes—
641#389C2314yes—
642#389C2314yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2314yes—
648#389C2314yes—
649#389C2312yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#386C2311yescharacteristic
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2311yescharacteristic
710#386C2311yescharacteristic
711#386C2311yescharacteristic
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2312yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2311yescharacteristic
744#385C2312yes—
745#385C2314yes—
746#385C2312yes—
747#385C2312yes—
748#385C2314yes—
749#385C2311yescharacteristic
750#385C2311yescharacteristic
751#385C2311yescharacteristic
752#385C2312yes—
753#385C2314yes—
754#385C2312yes—
755#385C2314yes—
756#385C2314yes—
757#385C2312yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2312yes—
762#385C2312yes—
763#385C2312yes—
764#385C2312yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#384C2312yes—
776#384C2312yes—
777#384C2312yes—
778#383C2312yes—
779#382C2312yes—
780#382C2312yes—
781#382C2312yes—
782#382C2312yes—
783#381C2312yes—
784#381C2312yes—
785#381C2314yes—
786#381C2312yes—
787#381C2312yes—
788#381C2314yes—
789#381C2314yes—
790#381C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2314yes—
802#380C2314yes—
803#380C2312yes—
804#380C2312yes—
805#380C2311yescharacteristic
806#380C2311yescharacteristic
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2314yes—
811#380C2314yes—
812#379C2311yescharacteristic
813#379C2312yes—
814#379C2314yes—
815#379C2311yescharacteristic
816#379C2312yes—
817#379C2311yescharacteristic
818#379C2311yescharacteristic
819#379C2314yes—
820#379C2312yes—
821#379C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849#376C2312yes—
850#376C2312yes—
851C2×#95C2314yes—
852C43C2312yes—
853C25C2411yescharacteristic
854C25C2412yes—
855C25C2412yes—
856C25C2411yescharacteristic
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—28no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—84no—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×D4—28no—
868C22×D4—28no—
869C22×D4—28no—
870C22×D4—24no—
871C22×D4—28no—
872C22×D4—24no—
873C22×D4—28no—
874C22×D4—24no—
875C22×D4—44no—
876C22×D4—44no—
877C22×D4—42no—
878C22×D4—44no—
879C22×D4—44no—
880C22×D4—84no—
881C22×D4C2×D418yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2411yescharacteristic
894C22×D4C2411yescharacteristic
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C23×C4—24no—
910C23×C4—24no—
911C23×C4—28no—
912C23×C4—28no—
913C23×C4—44no—
914C23×C4—44no—
915C23×C4—84no—
916C23×C4—84no—
917C23×C4—84no—
918C23×C4C2×D4116yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2414yes—
936C23×C4C2414yes—
937C23×C4C2414yes—
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2414yes—
945C23×C4C2411yescharacteristic
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2412yes—
949C23×C4C2412yes—
950C23×C4C2412yes—
951C4⋊Q8—24no—
952#127—24no—
953#127—28no—
954#126—28no—
955#126—216no—
956#126—216no—
957#126—216no—
958#126—216no—
959#126—28no—
960#126—28no—
961#126—28no—
962#125—28no—
963#125—24no—
964#125—28no—
965#125—28no—
966#125—28no—
967#125—28no—
968#125—24no—
969#124—24no—
970#124—28no—
971#124—28no—
972#124—28no—
973#124—24no—
974#123—28no—
975#123—28no—
976#123—216no—
977#123—216no—
978#123—216no—
979#123—216no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—216no—
988#123—28no—
989#123—44no—
990#123—44no—
991#123—84no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—24no—
995C22⋊Q8—28no—
996C22⋊Q8—24no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—44no—
1000C22⋊Q8—44no—
1001C22⋊Q8—84no—
1002#121—28no—
1003#121—28no—
1004#121—216no—
1005#121—28no—
1006#121—28no—
1007#121—216no—
1008#121—28no—
1009#121—24no—
1010#121—28no—
1011#121—24no—
1012#121—216no—
1013#121—28no—
1014#121—28no—
1015#121—28no—
1016#121—24no—
1017#121—24no—
1018#121—216no—
1019#121—216no—
1020#121—216no—
1021#121—216no—
1022#121—28no—
1023#121—28no—
1024#121—216no—
1025#121—28no—
1026#121—44no—
1027#121—44no—
1028#121—84no—
1029#121—84no—
1030#121—84no—
1031#120—28no—
1032#120—28no—
1033#120—28no—
1034#120—24no—
1035#120—28no—
1036#120—216no—
1037#120—24no—
1038#120—28no—
1039#120—24no—
1040#120—44no—
1041#120—84no—
1042#120#4118yescomplemented
1043C4×Q8—24no—
1044C4×Q8—24no—
1045C4×Q8—24no—
1046C4×Q8—24no—
1047C4×D4—24no—
1048C4×D4—24no—
1049C4×D4—24no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—216no—
1058C4×D4—216no—
1059C4×D4—216no—
1060C4×D4—216no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—24no—
1064C4×D4—24no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—24no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—24no—
1075C4×D4—24no—
1076C4×D4—44no—
1077C4×D4—44no—
1078C4×D4—44no—
1079C4×D4—44no—
1080C4×D4—44no—
1081C4×D4—44no—
1082C4×D4—84no—
1083C4×D4—84no—
1084C4×D4C2×D418yes—
1085C4×D4C2×D4116yes—
1086C4×D4C2×D418yes—
1087C4×D4C2×D418yes—
1088C4×D4C2×D4116yes—
1089C4×D4C2×D418yes—
1090#117—24no—
1091#117—28no—
1092#117—28no—
1093#117—28no—
1094#117—216no—
1095#117—24no—
1096#117—28no—
1097#117—24no—
1098#117—24no—
1099#117—24no—
1100#117—28no—
1101#117—42no—
1102#117—84no—
1103C2×C4⋊C4—24no—
1104C2×C4⋊C4—28no—
1105C2×C4⋊C4—24no—
1106C2×C4⋊C4—28no—
1107C2×C4⋊C4—24no—
1108C2×C4⋊C4—28no—
1109C2×C4⋊C4—28no—
1110C2×C4⋊C4—28no—
1111C2×C4⋊C4—28no—
1112C2×C4⋊C4—216no—
1113C2×C4⋊C4—24no—
1114C2×C4⋊C4C2×D418yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2411yescharacteristic
1167C2×C4⋊C4C2412yes—
1168C2×C22⋊C4—28no—
1169C2×C22⋊C4—28no—
1170C2×C22⋊C4—28no—
1171C2×C22⋊C4—28no—
1172C2×C22⋊C4—24no—
1173C2×C22⋊C4—24no—
1174C2×C22⋊C4—28no—
1175C2×C22⋊C4—28no—
1176C2×C22⋊C4—28no—
1177C2×C22⋊C4—44no—
1178C2×C22⋊C4C2×D4116yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2411yescharacteristic
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2411yescharacteristic
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2411yescharacteristic
1257C2×C22⋊C4C2412yes—
1258C2×C42—28no—
1259C2×C42—28no—
1260C2×C42—24no—
1261C2×C42—24no—
1262C2×C42—84no—
1263C2×C42C2×D418yes—
1264C2×C42C2411yescharacteristic
1265C2×C42C2412yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268C2×C42C2414yes—
1269C2×C42C2411yescharacteristic
1270C2×C42C2414yes—
1271C2×C42C2412yes—
1272C2×C42C2411yescharacteristic
1273C2×C42C2412yes—
1274C2×C42C2411yescharacteristic
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2411yescharacteristic
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2414yes—
1281C2×C42C2414yes—
1282C2×C42C2414yes—
1283C2×C42C2412yes—
1284C2×C42C2411yescharacteristic
1285C2×C42C2411yescharacteristic
1286C2×C42C2411yescharacteristic
1287C2×C42C2411yescharacteristic
1288#95C2412yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329C24—22no—
1330C24—22no—
1331C24—24no—
1332C24—24no—
1333C24—22no—
1334C24—24no—
1335C24—24no—
1336C24—22no—
1337C24—22no—
1338C24—42no—
1339C24—42no—
1340C24—42no—
1341C24—44no—
1342C24—44no—
1343C24—44no—
1344C24—42no—
1345C24—42no—
1346C24—44no—
1347C24C22×D418yes—
1348C24C2×#4114yes—
1349C24C2512yes—
1350C24C2512yes—
1351C24C2511yescharacteristic
1352C24C2512yes—
1353C24C2512yes—
1354C24C2511yescharacteristic
1355C24C2512yes—
1356C24C2511yescharacteristic
1357#41—416no—
1358#41—416no—
1359#41—816no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—24no—
1363C2×Q8—22no—
1364C2×Q8—24no—
1365C2×Q8—41no—
1366C2×Q8—44no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—24no—
1370C2×D4—22no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—28no—
1375C2×D4—28no—
1376C2×D4—24no—
1377C2×D4—22no—
1378C2×D4—28no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—28no—
1383C2×D4—24no—
1384C2×D4—22no—
1385C2×D4—24no—
1386C2×D4—22no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—28no—
1390C2×D4—28no—
1391C2×D4—28no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—22no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—22no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—24no—
1404C2×D4—416no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—44no—
1410C2×D4—42no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—42no—
1415C2×D4—41no—
1416C2×D4—44no—
1417C2×D4—416no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—44no—
1422C2×D4—42no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—432no—
1437C2×D4—416no—
1438C2×D4—432no—
1439C2×D4—816no—
1440C2×D4C22×D414yes—
1441C2×D4C22×D414yes—
1442C2×D4C22×D418yes—
1443C2×D4C2×#4114yes—
1444C2×D4C2×#4118yes—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—24no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—24no—
1478C22×C4—28no—
1479C22×C4—28no—
1480C22×C4—24no—
1481C22×C4—28no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—42no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—42no—
1498C22×C4—41no—
1499C22×C4—41no—
1500C22×C4—44no—
1501C22×C4—42no—
1502C22×C4—44no—
1503C22×C4—44no—
1504C22×C4—44no—
1505C22×C4—44no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—416no—
1515C22×C4—416no—
1516C22×C4—816no—
1517C22×C4—816no—
1518C22×C4—816no—
1519C22×C4C22×D414yes—
1520C22×C4C22×D414yes—
1521C22×C4C22×D418yes—
1522C22×C4C22×D418yes—
1523C22×C4C22×D414yes—
1524C22×C4C22×D418yes—
1525C22×C4C22×D418yes—
1526C22×C4C22×D418yes—
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2514yes—
1530C22×C4C2514yes—
1531C22×C4C2512yes—
1532C22×C4C2511yescharacteristic
1533C22×C4C2512yes—
1534C22×C4C2511yescharacteristic
1535C22×C4C2512yes—
1536C22×C4C2514yes—
1537C22×C4C2512yes—
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C22×C4C2512yes—
1542C22×C4C2512yes—
1543C22×C4C2514yes—
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C22×C4C2512yes—
1547C22×C4C2511yescharacteristic
1548C22×C4C2511yescharacteristic
1549C22×C4C2512yes—
1550C22×C4C2511yescharacteristic
1551C22×C4C2512yes—
1552C22×C4C2511yescharacteristic
1553C22×C4C2511yescharacteristic
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—28no—
1557C4⋊C4—28no—
1558C4⋊C4—22no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—22no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—28no—
1567C4⋊C4—28no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—28no—
1571C4⋊C4—28no—
1572C4⋊C4—22no—
1573C4⋊C4—22no—
1574C4⋊C4—24no—
1575C4⋊C4—22no—
1576C4⋊C4—22no—
1577C4⋊C4—22no—
1578C4⋊C4—22no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—24no—
1583C4⋊C4—24no—
1584C4⋊C4—24no—
1585C4⋊C4—28no—
1586C4⋊C4—28no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—42no—
1590C4⋊C4—44no—
1591C4⋊C4—44no—
1592C4⋊C4—42no—
1593C4⋊C4—42no—
1594C4⋊C4—42no—
1595C4⋊C4—42no—
1596C4⋊C4—44no—
1597C4⋊C4—44no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—44no—
1601C4⋊C4—44no—
1602C4⋊C4—44no—
1603C4⋊C4—44no—
1604C4⋊C4C22×D414yes—
1605C4⋊C4C22×D414yes—
1606C4⋊C4C22×D418yes—
1607C22⋊C4—22no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—28no—
1611C22⋊C4—28no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—28no—
1616C22⋊C4—24no—
1617C22⋊C4—22no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—22no—
1622C22⋊C4—28no—
1623C22⋊C4—28no—
1624C22⋊C4—24no—
1625C22⋊C4—22no—
1626C22⋊C4—24no—
1627C22⋊C4—22no—
1628C22⋊C4—22no—
1629C22⋊C4—28no—
1630C22⋊C4—28no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—22no—
1641C22⋊C4—24no—
1642C22⋊C4—22no—
1643C22⋊C4—22no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—28no—
1647C22⋊C4—28no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—42no—
1657C22⋊C4—42no—
1658C22⋊C4—42no—
1659C22⋊C4—42no—
1660C22⋊C4—42no—
1661C22⋊C4—42no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—42no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—42no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—42no—
1680C22⋊C4C22×D418yes—
1681C22⋊C4C22×D418yes—
1682C22⋊C4C22×D418yes—
1683C22⋊C4C22×D418yes—
1684C22⋊C4C2×#4114yes—
1685C22⋊C4C2×#4118yes—
1686C42—22no—
1687C42—22no—
1688C42—24no—
1689C42—22no—
1690C42—28no—
1691C42—24no—
1692C42—28no—
1693C42—22no—
1694C42—24no—
1695C42—22no—
1696C42—22no—
1697C42—24no—
1698C42—24no—
1699C42—24no—
1700C42—42no—
1701C42—44no—
1702C42—44no—
1703C42—44no—
1704C42—42no—
1705C42—42no—
1706C42C22×D414yes—
1707C42C22×D414yes—
1708C42C22×D414yes—
1709C42C22×D414yes—
1710C23—22no—
1711C23—22no—
1712C23—21no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—24no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—24no—
1723C23—21no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—24no—
1728C23—22no—
1729C23—24no—
1730C23—28no—
1731C23—216no—
1732C23—22no—
1733C23—22no—
1734C23—21no—
1735C23—22no—
1736C23—22no—
1737C23—21no—
1738C23—21no—
1739C23—22no—
1740C23—22no—
1741C23—24no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—24no—
1747C23—22no—
1748C23—22no—
1749C23—48no—
1750C23—48no—
1751C23—48no—
1752C23—48no—
1753C23—44no—
1754C23—44no—
1755C23—48no—
1756C23—44no—
1757C23—48no—
1758C23—44no—
1759C23—44no—
1760C23—84no—
1761C23—88no—
1762C23—84no—
1763C23—88no—
1764C23—84no—
1765C23—88no—
1766C23—88no—
1767C23C23×D414yes—
1768C23C23×D414yes—
1769C23C23×D412yes—
1770C23C22×#4112yes—
1771C23C22×#4114yes—
1772C23C22×#4112yes—
1773C23#58512yes—
1774C23C2611yescharacteristic
1775Q8—44no—
1776Q8—44no—
1777Q8—84no—
1778D4—28no—
1779D4—28no—
1780D4—28no—
1781D4—48no—
1782D4—48no—
1783D4—48no—
1784D4—48no—
1785D4—48no—
1786D4—44no—
1787D4—48no—
1788D4—416no—
1789D4—416no—
1790D4—48no—
1791D4—48no—
1792D4—48no—
1793D4—44no—
1794D4—44no—
1795D4—84no—
1796D4—84no—
1797D4—88no—
1798D4—84no—
1799D4—84no—
1800D4—88no—
1801D4—88no—
1802D4—84no—
1803D4—84no—
1804D4—164no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—24no—
1817C2×C4—22no—
1818C2×C4—28no—
1819C2×C4—28no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—24no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—24no—
1832C2×C4—22no—
1833C2×C4—24no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—24no—
1844C2×C4—24no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—24no—
1850C2×C4—22no—
1851C2×C4—24no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—21no—
1855C2×C4—22no—
1856C2×C4—24no—
1857C2×C4—24no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—24no—
1861C2×C4—22no—
1862C2×C4—24no—
1863C2×C4—22no—
1864C2×C4—24no—
1865C2×C4—44no—
1866C2×C4—48no—
1867C2×C4—48no—
1868C2×C4—48no—
1869C2×C4—48no—
1870C2×C4—48no—
1871C2×C4—44no—
1872C2×C4—48no—
1873C2×C4—44no—
1874C2×C4—48no—
1875C2×C4—48no—
1876C2×C4—44no—
1877C2×C4—48no—
1878C2×C4—44no—
1879C2×C4—44no—
1880C2×C4—44no—
1881C2×C4—48no—
1882C2×C4—48no—
1883C2×C4—48no—
1884C2×C4—48no—
1885C2×C4—48no—
1886C2×C4—44no—
1887C2×C4—44no—
1888C2×C4—88no—
1889C2×C4—84no—
1890C2×C4—88no—
1891C2×C4—84no—
1892C2×C4—88no—
1893C2×C4—84no—
1894C2×C4—88no—
1895C2×C4C23×D412yes—
1896C2×C4C23×D414yes—
1897C2×C4C23×D412yes—
1898C2×C4C23×D414yes—
1899C2×C4C23×D412yes—
1900C2×C4C23×D412yes—
1901C2×C4C23×D412yes—
1902C2×C4C23×D412yes—
1903C2×C4C22×#4114yes—
1904C2×C4C22×#4112yes—
1905C2×C4#58514yes—
1906C22—24no—
1907C22—22no—
1908C22—24no—
1909C22—22no—
1910C22—24no—
1911C22—24no—
1912C22—24no—
1913C22—24no—
1914C22—24no—
1915C22—24no—
1916C22—24no—
1917C22—22no—
1918C22—24no—
1919C22—24no—
1920C22—24no—
1921C22—416no—
1922C22—44no—
1923C22—44no—
1924C22—41no—
1925C22—42no—
1926C22—44no—
1927C22—42no—
1928C22—42no—
1929C22—42no—
1930C22—44no—
1931C22—42no—
1932C22—41no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—44no—
1937C22—42no—
1938C22—41no—
1939C22—42no—
1940C22—42no—
1941C22—44no—
1942C22—42no—
1943C22—42no—
1944C22—42no—
1945C22—41no—
1946C22—42no—
1947C22—41no—
1948C22—42no—
1949C22—42no—
1950C22—816no—
1951C22—88no—
1952C22—816no—
1953C22D4×#4114yes—
1954C22C24×D411yescharacteristic
1955C22C23×#4111yescharacteristic
1956C22C2×#58512yes—
1957C22C2×#58511yescharacteristic
1958C22H(7,𝔽2)12yes—
1959C4—24no—
1960C4—22no—
1961C4—22no—
1962C4—24no—
1963C4—24no—
1964C4—22no—
1965C4—22no—
1966C4—22no—
1967C4—22no—
1968C4—44no—
1969C4—42no—
1970C4—41no—
1971C4—44no—
1972C4—42no—
1973C4—41no—
1974C4—42no—
1975C4—42no—
1976C4—44no—
1977C4—42no—
1978C4—41no—
1979C4—42no—
1980C4—41no—
1981C4—42no—
1982C4—44no—
1983C4—42no—
1984C4—41no—
1985C4#344914yes—
1986C2—24no—
1987C2—44no—
1988C2—44no—
1989C2—42no—
1990C2—44no—
1991C2—81no—
1992C2—82no—
1993C2—82no—
1994C2C2×#344911yescharacteristic
1995C2C2×D4×#4111yescharacteristic
1996C2#6284211yescharacteristic
1997C2#6293512yes—
1998C2#6299212yes—
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×#3481C2semidirect
2. C22×#553C2semidirect
3. #39952C2semidirect
4. #39948C2semidirect
5. #39942C2semidirect
6. #39940C2semidirect
7. #39856C2semidirect
8. #39852C2semidirect
9. #39846C2semidirect
10. #39844C2semidirect
11. #39466C2semidirect
12. #39460C2semidirect
13. #39338C2semidirect
14. #39332C2semidirect
15. #38916C2semidirect
16. #38913C2semidirect
17. #38904C2semidirect
18. #38901C2semidirect
19. #36581C2semidirect
20. #36546C2semidirect
21. #36517C2semidirect
22. #36516C2semidirect
23. #36471C2semidirect
24. #36468C2semidirect
25. #36440C2semidirect
26. #36436C2semidirect
27. #35139C2semidirect
28. #35138C2semidirect
29. #35102C2semidirect
30. #35064C2semidirect
31. #35062C2semidirect
32. #35031C2semidirect
33. #34126C2semidirect
34. C4×#535C2semidirect
35. C4×#534C2semidirect
37. C2×#559C22semidirect
39. C2×#554C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
46. C2×#553C22semidirect
47. C2×#553C22semidirect
48. C2×#553C22semidirect
49. C2×#553C22semidirect
51. C2×#551C22semidirect
54. C2×#546C22semidirect
58. C2×#532C22semidirect
60. C2×#529C22semidirect
61. C2×#529C22semidirect
62. C22×#126C22semidirect
63. C22×#125C22semidirect
65. C2×#525C22semidirect
66. C22×#123C22semidirect
69. C22×#121C22semidirect
71. C2×C4×#41C22semidirect
74. C22×C4×D4C22semidirect
75. C22×C4×D4C22semidirect
76. C22×C4×D4C22semidirect
77. C22×#117C22semidirect
78. C23×C4⋊C4C22semidirect
79. #2861C22semidirect
80. #2859C22semidirect
81. #2855C22semidirect
82. #2854C22semidirect
83. #2854C22semidirect
84. #2854C22semidirect
85. #2853C22semidirect
86. #2851C22semidirect
87. #2851C22semidirect
88. #2849C22semidirect
89. #2848C22semidirect
90. #2848C22semidirect
91. #2848C22semidirect
94. #2847C22semidirect
95. #2722C22semidirect
96. #2718C22semidirect
97. #2715C22semidirect
98. #2708C22semidirect
99. #2708C22semidirect
100. #2703C22semidirect
101. #2698C22semidirect
102. #2695C22semidirect
103. #2691C22semidirect
104. #2691C22semidirect
105. #2689C22semidirect
106. #2688C22semidirect
107. #2688C22semidirect
108. #2685C22semidirect
109. #2681C22semidirect
110. #2676C22semidirect
111. #2675C22semidirect
112. #2672C22semidirect
113. #2671C22semidirect
114. #2671C22semidirect
115. #2671C22semidirect
116. #2669C22semidirect
117. #2668C22semidirect
118. #2668C22semidirect
119. #2664C22semidirect
120. #2663C22semidirect
121. #2661C22semidirect
122. #2634C22semidirect
123. #2633C22semidirect
124. #2630C22semidirect
125. #2630C22semidirect
126. #2623C22semidirect
128. #2622C22semidirect
130. #2613C22semidirect
131. #2613C22semidirect
132. #2611C22semidirect
133. #2611C22semidirect
134. #2611C22semidirect
135. #2603C22semidirect
136. #2602C22semidirect
137. #2602C22semidirect
138. #2602C22semidirect
139. #2602C22semidirect
140. #2602C22semidirect
141. #2602C22semidirect
142. #2600C22semidirect
143. #2600C22semidirect
144. #2598C22semidirect
145. #2591C22semidirect
146. #2584C22semidirect
147. #2583C22semidirect
149. #2579C22semidirect
150. #2566C22semidirect
151. #2565C22semidirect
152. #2562C22semidirect
153. #2562C22semidirect
154. #2561C22semidirect
155. #2559C22semidirect
156. #2559C22semidirect
157. #2555C22semidirect
158. #2553C22semidirect
159. #2540C22semidirect
160. #2539C22semidirect
161. #2537C22semidirect
162. #2537C22semidirect
163. #2536C22semidirect
164. #2535C22semidirect
165. #2535C22semidirect
166. #2535C22semidirect
168. #2534C22semidirect
169. #2521C22semidirect
171. #2503C22semidirect
172. #2502C22semidirect
174. #2498C22semidirect
175. #2496C22semidirect
177. #2487C22semidirect
179. #2486C22semidirect
180. #2485C22semidirect
181. #2484C22semidirect
182. #2483C22semidirect
183. #2481C22semidirect
184. #2480C22semidirect
185. #2479C22semidirect
186. #2478C22semidirect
187. #2477C22semidirect
188. #2476C22semidirect
189. #2475C22semidirect
190. #2473C22semidirect
191. #2471C22semidirect
192. #2468C22semidirect
193. #2466C22semidirect
194. #2464C22semidirect
195. #2464C22semidirect
196. #2456C22semidirect
197. #2449C22semidirect
198. #2443C22semidirect
199. #2442C22semidirect
200. #2441C22semidirect
201. #2440C22semidirect
202. #2439C22semidirect
203. #2430C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2427C22semidirect
208. #2427C22semidirect
209. #2424C22semidirect
210. #2422C22semidirect
211. #2422C22semidirect
212. #2420C22semidirect
213. #2420C22semidirect
214. #2417C22semidirect
215. #2416C22semidirect
216. #2415C22semidirect
217. #2415C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2413C22semidirect
221. #2413C22semidirect
222. #2413C22semidirect
224. #2412C22semidirect
225. #2411C22semidirect
227. #2410C22semidirect
228. #2408C22semidirect
229. #2408C22semidirect
230. #2407C22semidirect
231. #2407C22semidirect
232. #2407C22semidirect
235. #2405C22semidirect
237. #2363C22semidirect
238. #2362C22semidirect
239. #2361C22semidirect
240. #2360C22semidirect
241. #2357C22semidirect
242. #2354C22semidirect
243. #2353C22semidirect
244. #2352C22semidirect
245. #2352C22semidirect
246. #2349C22semidirect
247. D4×C4⋊C4C22semidirect
248. #2345C22semidirect
249. #2345C22semidirect
250. #2342C22semidirect
251. #2342C22semidirect
254. #2328C22semidirect
255. #2326C22semidirect
256. #2325C22semidirect
257. #2325C22semidirect
258. #2324C22semidirect
259. #2324C22semidirect
261. #2322C22semidirect
262. #2322C22semidirect
263. #2322C22semidirect
264. #2322C22semidirect
267. #2321C22semidirect
268. #2321C22semidirect
269. #2321C22semidirect
270. #2321C22semidirect
271. #2321C22semidirect
272. #2317C22semidirect
273. #2315C22semidirect
275. #2309C22semidirect
277. #2308C22semidirect
278. C4×#127C22semidirect
279. C4×#124C22semidirect
281. C4×#123C22semidirect
282. C4×#123C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
290. C4×#120C22semidirect
291. C4×#120C22semidirect
292. C4×#120C22semidirect
293. C4×#120C22semidirect
294. #2293C22semidirect
295. #2290C22semidirect
296. #2283C22semidirect
297. #2280C22semidirect
298. C42×D4C22semidirect
299. C4×#117C22semidirect
300. C2×C4×C22⋊C4C22semidirect
449. C2×C4×D4D4semidirect
1042. #120#41semidirect

Maximal subgroups

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

subgroupindex
C2×#34812
C22×#5532
#399522
#399482
#399422
#399402
#398562
#398522
#398462
#398442
#394662
#394602
#393382
#393322
#389162
#389132
#389042
#389012
#365812
#365462
#365172
#365162
#364712
#364682
#364402
#364362
#351392
#351382
#351022
#350642
#350622
#350312
#341262
C4×#5352
C4×#5342