Finite Group Databasebeta

← #7677664

Subgroups — #7677664

Order 512.

7487 conjugacy classes of subgroups.

The subgroup lattice has 1969 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C22×#559C211yesmaximal, characteristic, complemented
3#59829C212yesmaximal, complemented
4#59641C212yesmaximal, complemented
5#59417C212yesmaximal, complemented
6#59414C212yesmaximal, complemented
7#59147C212yesmaximal, complemented
8#59145C212yesmaximal, complemented
9#59072C212yesmaximal, complemented
10#59068C212yesmaximal, complemented
11#44778C214yesmaximal, complemented
12#44401C214yesmaximal, complemented
13#44275C214yesmaximal, complemented
14#44272C214yesmaximal, complemented
15#39464C211yesmaximal, characteristic, complemented
16#39461C212yesmaximal, complemented
17#39336C211yesmaximal, characteristic, complemented
18#39333C212yesmaximal, complemented
19#39135C211yesmaximal, characteristic, complemented
20#39123C211yesmaximal, characteristic, complemented
21#38039C212yesmaximal, complemented
22#38023C212yesmaximal, complemented
23#36578C211yesmaximal, characteristic, complemented
24Q8×#123C211yesmaximal, characteristic, complemented
25#36237C211yesmaximal, characteristic, complemented
26#36236C211yesmaximal, characteristic, complemented
27#35394C212yesmaximal, complemented
28#35354C212yesmaximal, complemented
29#35111C211yesmaximal, characteristic, complemented
30#34986C212yesmaximal, complemented
31#34965C211yesmaximal, characteristic, complemented
32#34963C211yesmaximal, characteristic, complemented
33#34264C212yesmaximal, complemented
34#34240C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36#3514—216no—
37C2×#559—216no—
38C2×#559C2212yes—
39C2×#559C2212yes—
40C2×#559C2212yescomplemented
41C2×#559C2212yescomplemented
42C2×#559C2211yescharacteristic, complemented
43C2×#559C2214yescomplemented
44C2×#559C2214yescomplemented
45C2×#556C2211yescharacteristic, complemented
46C2×#555C2212yescomplemented
47C2×#551C2212yes—
48C2×#551C2212yescomplemented
49C2×D4×Q8C2211yescharacteristic
50C2×#548C2211yescharacteristic
51C2×#548C2211yescharacteristic, complemented
52C2×#546C2211yescharacteristic
53C2×#546C2212yes—
54C2×#546C2211yescharacteristic, complemented
55C2×D42C2211yescharacteristic
56C2×#542C2212yescomplemented
57C2×#538C2212yes—
58C2×#538C2212yescomplemented
59C2×#536C2211yescharacteristic
60C2×#534C2212yes—
61C2×#532C2211yescharacteristic, complemented
62C22×#127C2211yescharacteristic
63C2×#529C2211yescharacteristic
64C2×#529C2211yescharacteristic, complemented
65C2×#529C2211yescharacteristic, complemented
66C22×#124C2211yescharacteristic
67C22×#124C2211yescharacteristic, complemented
68C22×#124C2212yescomplemented
69C22×#124C2211yescharacteristic, complemented
70C22×#123C2212yescomplemented
71C22×#123C2212yescomplemented
72C2×#518C2212yes—
73C2×C4×#41C2211yescharacteristic
74C22×C4×Q8C2211yescharacteristic, complemented
75C22×C4×Q8C2211yescharacteristic, complemented
76C22×C4×D4C2211yescharacteristic
77C22×C4×D4C2211yescharacteristic, complemented
78C22×C4×D4C2212yescomplemented
79#2855C2212yescomplemented
80#2855C2211yescharacteristic, complemented
81#2855C2211yescharacteristic, complemented
82#2854C2211yescharacteristic
83#2854C2211yescharacteristic
84#2854C2212yescomplemented
85#2849C2212yes—
86#2849C2212yescomplemented
87#2733C2214yescomplemented
88#2731C2214yescomplemented
89#2730C2214yescomplemented
90#2730C2214yescomplemented
91#2718C2214yescomplemented
92#2718C2214yescomplemented
93#2715C2214yescomplemented
94#2712C2214yescomplemented
95#2710C2214yescomplemented
96#2710C2214yescomplemented
97#2710C2214yescomplemented
98#2709C2214yescomplemented
99#2706C2214yescomplemented
100#2706C2214yescomplemented
101#2703C2214yescomplemented
102#2703C2214yescomplemented
103#2700C2214yescomplemented
104#2676C2214yescomplemented
105#2674C2214yescomplemented
106#2673C2214yes—
107#2673C2214yescomplemented
108#2672C2214yescomplemented
109#2670C2214yescomplemented
110#2669C2214yes—
111#2626C2212yescomplemented
112#2623C2212yescomplemented
113#2617C2212yescomplemented
114#2614C2212yescomplemented
115#2613C2212yes—
116#2613C2212yescomplemented
117#2604C2214yescomplemented
118#2603C2214yescomplemented
119#2599C2214yescomplemented
120#2598C2212yescomplemented
121#2598C2212yescomplemented
122#2592C2212yescomplemented
123#2584C2212yescomplemented
124#2581C2212yescomplemented
125#2580C2212yescomplemented
126#2580C2212yescomplemented
127#2566C2212yescomplemented
128#2561C2212yescomplemented
129#2557C2214yescomplemented
130#2557C2214yescomplemented
131#2557C2214yescomplemented
132#2555C2214yescomplemented
133#2553C2214yescomplemented
134#2553C2214yescomplemented
135#2548C2212yescomplemented
136#2545C2212yescomplemented
137#2544C2212yes—
138#2544C2212yescomplemented
139#2541C2212yes—
140#2539C2214yescomplemented
141#2539C2212yescomplemented
142#2535C2212yescomplemented
143#2534C2212yes—
144#2534C2212yescomplemented
145#2521C2214yescomplemented
146#2504C2211yescharacteristic
147#2504C2212yescomplemented
148#2502C2212yescomplemented
149#2502C2211yescharacteristic, complemented
150#2501C2214yescomplemented
151#2491C2214yescomplemented
152#2488C2214yescomplemented
153#2488C2214yescomplemented
154#2487C2212yes—
155#2487C2211yescharacteristic
156#2487C2212yescomplemented
157#2487C2211yescharacteristic, complemented
158#2483C2212yescomplemented
159#2482C2212yescomplemented
160#2474C2214yescomplemented
161#2472C2214yescomplemented
162#2470C2214yescomplemented
163#2470C2214yescomplemented
164#2466C2214yescomplemented
165#2466C2214yescomplemented
166#2464C2214yescomplemented
167#2464C2214yescomplemented
168#2461C2214yescomplemented
169#2459C2214yescomplemented
170#2459C2214yescomplemented
171#2459C2214yescomplemented
172#2457C2214yescomplemented
173#2457C2214yescomplemented
174#2456C2214yescomplemented
175#2456C2214yescomplemented
176#2455C2214yescomplemented
177#2455C2214yescomplemented
178#2455C2214yescomplemented
179#2455C2214yescomplemented
180#2448C2212yescomplemented
181#2448C2212yescomplemented
182#2448C2212yescomplemented
183#2448C2214yescomplemented
184#2447C2212yescomplemented
185#2446C2212yescomplemented
186#2446C2214yescomplemented
187#2445C2212yes—
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2444C2214yescomplemented
191#2443C2214yescomplemented
192#2436C2212yescomplemented
193#2435C2211yescharacteristic, complemented
194#2433C2212yes—
195#2433C2211yescharacteristic
196#2431C2212yescomplemented
197#2431C2212yescomplemented
198#2428C2212yes—
199#2428C2212yes—
200#2426C2212yescomplemented
201#2426C2212yescomplemented
202#2425C2214yescomplemented
203#2425C2214yescomplemented
204#2423C2212yescomplemented
205#2423C2214yescomplemented
206#2422C2212yescomplemented
207#2422C2214yescomplemented
208#2422C2214yescomplemented
209#2421C2212yescomplemented
210#2421C2214yescomplemented
211#2420C2212yescomplemented
212#2419C2214yescomplemented
213#2418C2214yescomplemented
214#2418C2214yescomplemented
215#2418C2214yescomplemented
216#2413C2214yescomplemented
217#2412C2212yes—
218#2412C2214yescomplemented
219#2412C2212yescomplemented
220#2411C2212yescomplemented
221#2411C2212yescomplemented
222#2410C2212yes—
223#2410C2212yescomplemented
224#2408C2211yescharacteristic
225#2408C2211yescharacteristic, complemented
226#2405C2212yes—
227#2405C2212yescomplemented
228#2404C2212yes—
229#2403C2212yes—
230#2398C2212yescomplemented
231#2397C2212yescomplemented
232#2392C2214yescomplemented
233#2372C2214yescomplemented
234#2367C2212yescomplemented
235#2367C2212yescomplemented
236#2364C2214yescomplemented
237#2364C2214yescomplemented
238#2361C2214yescomplemented
239#2361C2214yescomplemented
240#2359C2214yescomplemented
241#2359C2214yescomplemented
242#2358C2214yescomplemented
243#2358C2214yescomplemented
244#2351C2212yescomplemented
245Q8×C4⋊C4C2212yescomplemented
246#2349C2212yescomplemented
247D4×C4⋊C4C2212yescomplemented
248#2342C2212yescomplemented
249#2342C2212yescomplemented
250#2341C2212yescomplemented
251Q8×C22⋊C4C2212yescomplemented
252Q8×C22⋊C4C2211yescharacteristic, complemented
253Q8×C22⋊C4C2211yescharacteristic, complemented
254#2339C2212yescomplemented
255D4×C22⋊C4C2211yescharacteristic
256D4×C22⋊C4C2211yescharacteristic
257D4×C22⋊C4C2212yescomplemented
258#2337C2214yescomplemented
259#2327C2212yescomplemented
260#2326C2212yescomplemented
261#2323C2212yescomplemented
262#2323C2212yescomplemented
263#2322C2211yescharacteristic
264#2322C2211yescharacteristic
265#2322C2212yescomplemented
266#2322C2212yescomplemented
267#2322C2211yescharacteristic, complemented
268#2322C2211yescharacteristic, complemented
269#2321C2212yes—
270#2321C2212yescomplemented
271#2317C2211yescharacteristic, complemented
272#2312C2212yescomplemented
273#2311C2211yescharacteristic
274#2310C2211yescharacteristic, complemented
275#2308C2212yescomplemented
276C4×C4⋊Q8C2212yescomplemented
277C4×#127C2212yescomplemented
278C4×#124C2212yescomplemented
279C4×#124C2212yescomplemented
280C4×#124C2212yescomplemented
281C4×#124C2212yescomplemented
282C4×C22⋊Q8C2212yescomplemented
283C4×C22⋊Q8C2212yescomplemented
284C4×#123C2211yescharacteristic
285C4×#123C2211yescharacteristic
286C4×#123C2212yes—
287C4×#123C2212yescomplemented
288C4×#123C2211yescharacteristic, complemented
289C4×#123C2211yescharacteristic, complemented
290C4×#121C2212yescomplemented
291C4×#121C2212yescomplemented
292C4×#120C2212yes—
293C4×#120C2212yescomplemented
294C4×#120C2212yescomplemented
295C4×#120C2212yescomplemented
296C2×#386C2212yes—
297C2×#385C2212yescomplemented
298#2283C2211yescharacteristic, complemented
299#2273C2212yescomplemented
300C4×#117C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2312yes—
309C23×D4C2311yescharacteristic
310C23×D4C2311yescharacteristic
311C23×D4C2312yes—
312C23×D4C2311yescharacteristic
313C24×C4C2312yes—
314C24×C4C2312yes—
315#559—216no—
316#559—216no—
317#559—216no—
318#559—232no—
319#559—216no—
320#559—232no—
321#559—28no—
322#556—28no—
323#555—216no—
324#551—216no—
325#551—216no—
326D4×Q8—28no—
327#548—28no—
328#548—28no—
329#546—28no—
330#546—28no—
331#546—216no—
332D42—28no—
333#542—216no—
334#538—216no—
335#538—216no—
336#536—28no—
337#534—216no—
338#532—28no—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×#127—28no—
343C2×#127C2314yes—
344C2×#127C2312yes—
345C2×#127C2312yes—
346C2×#127C2311yescharacteristic
347C2×#127C2312yes—
348#529—28no—
349#529—28no—
350#529—28no—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#125C2311yescharacteristic
357C2×#124—28no—
358C2×#124—28no—
359C2×#124—216no—
360C2×#124D4116yescomplemented
361C2×#124C2312yes—
362C2×#124C2311yescharacteristic
363C2×#124C2314yes—
364C2×#124C2314yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2311yescharacteristic
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2314yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380C2×#124C2311yescharacteristic
381C2×#124C2312yes—
382C2×#124C2311yescharacteristic
383C2×#124C2311yescharacteristic
384C2×#123—216no—
385C2×#123—216no—
386C2×#123C2311yescharacteristic
387C2×#123C2312yes—
388C2×#123C2311yescharacteristic
389C2×#123C2311yescharacteristic
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2314yes—
408C2×#123C2314yes—
409C2×#123C2314yes—
410C2×#123C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#120C2312yes—
438C2×#120C2312yes—
439C2×#120C2312yes—
440C2×#120C2312yes—
441C2×#120C2314yes—
442C2×#120C2312yes—
443C2×#120C2312yes—
444C2×#120C2312yes—
445C2×#120C2312yes—
446C2×#120C2314yes—
447#518—216no—
448C4×#41—28no—
449C2×C4×Q8—28no—
450C2×C4×Q8—28no—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2314yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×D4—28no—
466C2×C4×D4—216no—
467C2×C4×D4—28no—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2314yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2314yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2314yes—
500C2×C4×D4C2314yes—
501C2×C4×D4C2314yes—
502C2×C4×D4C2314yes—
503C2×#117C2311yescharacteristic
504C2×#117C2311yescharacteristic
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2311yescharacteristic
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2311yescharacteristic
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2311yescharacteristic
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2314yes—
518C22×C22⋊C4C2312yes—
519C22×C22⋊C4C2312yes—
520C22×C22⋊C4C2312yes—
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2312yes—
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2312yes—
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2312yes—
528C22×C22⋊C4C2314yes—
529C22×C22⋊C4C2312yes—
530C22×C22⋊C4C2312yes—
531C22×C42C2311yescharacteristic
532C22×C42C2311yescharacteristic
533C22×C42C2312yes—
534C22×C42C2311yescharacteristic
535C22×C42C2311yescharacteristic
536C22×C42C2311yescharacteristic
537#400C2314yes—
538#400C2312yes—
539#400C2312yes—
540#400C2314yes—
541#400C2314yes—
542#399C2314yes—
543#399C2314yes—
544#399C2312yes—
545#399C2312yes—
546#399C2314yes—
547#399C2314yes—
548#399C2314yes—
549#399C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#395C2314yes—
572#395C2314yes—
573#394C2312yes—
574#394C2312yes—
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#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#393C2314yes—
598#393C2314yes—
599#392C2312yes—
600#392C2312yes—
601#392C2314yes—
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#391C2312yes—
617#391C2312yes—
618#391C2312yes—
619#391C2312yes—
620#391C2314yes—
621#391C2314yes—
622#391C2312yes—
623#391C2314yes—
624#391C2312yes—
625#391C2312yes—
626#391C2314yes—
627#390C2312yes—
628#390C2312yes—
629#390C2314yes—
630#390C2314yes—
631#390C2312yes—
632#390C2312yes—
633#390C2314yes—
634#390C2314yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2314yes—
642#390C2314yes—
643#390C2314yes—
644#390C2314yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#387C2312yes—
700#387C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2312yes—
705#387C2312yes—
706#387C2312yes—
707#387C2312yes—
708#387C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2311yescharacteristic
720#386C2311yescharacteristic
721#386C2311yescharacteristic
722#386C2311yescharacteristic
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2312yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2314yes—
732#386C2312yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2312yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2312yes—
749#386C2314yes—
750#386C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2311yescharacteristic
754#385C2311yescharacteristic
755#385C2311yescharacteristic
756#385C2311yescharacteristic
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#385C2314yes—
761#385C2314yes—
762#385C2312yes—
763#385C2312yes—
764#385C2312yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2312yes—
770#385C2314yes—
771#385C2312yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2312yes—
778#385C2312yes—
779#384C2312yes—
780#384C2312yes—
781#384C2314yes—
782#383C2312yes—
783#382C2312yes—
784#382C2312yes—
785#382C2312yes—
786#382C2314yes—
787#381C2311yescharacteristic
788#381C2312yes—
789#381C2311yescharacteristic
790#381C2312yes—
791#381C2311yescharacteristic
792#381C2311yescharacteristic
793#381C2314yes—
794#381C2314yes—
795#381C2314yes—
796#381C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2311yescharacteristic
802#380C2311yescharacteristic
803#380C2312yes—
804#380C2312yes—
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2314yes—
809#379C2312yes—
810#379C2312yes—
811#379C2312yes—
812#379C2312yes—
813#379C2312yes—
814#379C2314yes—
815#379C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848#376C2312yes—
849#376C2312yes—
850C2×#95C2314yes—
851C2×#95C2314yes—
852C43C2312yes—
853C25C2412yes—
854C25C2412yes—
855C25C2412yes—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—42no—
861C2×#41—44no—
862C2×#41—44no—
863C22×Q8—24no—
864C22×Q8—24no—
865C22×Q8—24no—
866C22×Q8—42no—
867C22×Q8—44no—
868C22×Q8—44no—
869C22×Q8C2×D418yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2412yes—
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2412yes—
878C22×D4—28no—
879C22×D4—28no—
880C22×D4—28no—
881C22×D4—28no—
882C22×D4—24no—
883C22×D4—24no—
884C22×D4—28no—
885C22×D4—44no—
886C22×D4—44no—
887C22×D4—44no—
888C22×D4—44no—
889C22×D4—44no—
890C22×D4—84no—
891C22×D4C2×D418yes—
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2414yes—
901C22×D4C2411yescharacteristic
902C22×D4C2411yescharacteristic
903C22×D4C2411yescharacteristic
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2414yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2412yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2412yes—
917C23×C4—28no—
918C23×C4—28no—
919C23×C4—84no—
920C23×C4—84no—
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2412yes—
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2414yes—
936C23×C4C2412yes—
937C23×C4C2414yes—
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2411yescharacteristic
941C23×C4C2414yes—
942C23×C4C2411yescharacteristic
943C23×C4C2414yes—
944C23×C4C2414yes—
945C23×C4C2414yes—
946C23×C4C2412yes—
947C23×C4C2411yescharacteristic
948C4⋊Q8—24no—
949C4⋊Q8—28no—
950C4⋊Q8—28no—
951#127—28no—
952#127—28no—
953#127—216no—
954#127—24no—
955#127—44no—
956#126—28no—
957#126—28no—
958#126—28no—
959#126—28no—
960#126—28no—
961#125—24no—
962#124—24no—
963#124—28no—
964#124—28no—
965#124—216no—
966#124—28no—
967#124—24no—
968#124—28no—
969#124—28no—
970#124—216no—
971#124—216no—
972#124—216no—
973#124—216no—
974#124—28no—
975#124—28no—
976#124—28no—
977#124—24no—
978#124—44no—
979#124C2×D418yes—
980#124C2×D418yes—
981#124C2×D4116yes—
982#124C2×D418yes—
983#124C2×D418yes—
984#124C2×D4116yes—
985#123—28no—
986#123—24no—
987#123—28no—
988#123—28no—
989#123—24no—
990#123—216no—
991#123—216no—
992#123—216no—
993#123—216no—
994#123—216no—
995#123—216no—
996#123—216no—
997#123—216no—
998#123—216no—
999#123—28no—
1000#123—28no—
1001#123—28no—
1002#123—28no—
1003#123—28no—
1004#123—24no—
1005#123—44no—
1006#123—84no—
1007#123—84no—
1008#123—84no—
1009#123#4118yescomplemented
1010C22⋊Q8—24no—
1011C22⋊Q8—24no—
1012C22⋊Q8—28no—
1013C22⋊Q8—28no—
1014C22⋊Q8—24no—
1015C22⋊Q8—28no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—28no—
1020#121—24no—
1021#121—24no—
1022#121—28no—
1023#121—28no—
1024#121—24no—
1025#121—28no—
1026#121—216no—
1027#121—28no—
1028#121—28no—
1029#121—28no—
1030#121—28no—
1031#121—216no—
1032#121—44no—
1033#121—44no—
1034#121—84no—
1035#121—84no—
1036#120—28no—
1037#120—28no—
1038#120—28no—
1039#120—28no—
1040#120—28no—
1041#120—216no—
1042#120—28no—
1043#120—44no—
1044#120—44no—
1045#120—84no—
1046C4×Q8—28no—
1047C4×Q8—28no—
1048C4×Q8—216no—
1049C4×Q8—24no—
1050C4×Q8—24no—
1051C4×Q8—28no—
1052C4×Q8—28no—
1053C4×Q8—28no—
1054C4×Q8—28no—
1055C4×Q8—24no—
1056C4×Q8—24no—
1057C4×Q8—24no—
1058C4×Q8—44no—
1059C4×Q8—44no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—216no—
1063C4×D4—24no—
1064C4×D4—24no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—24no—
1068C4×D4—24no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—216no—
1073C4×D4—216no—
1074C4×D4—216no—
1075C4×D4—216no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—28no—
1084C4×D4—28no—
1085C4×D4—28no—
1086C4×D4—24no—
1087C4×D4—24no—
1088C4×D4—24no—
1089C4×D4—44no—
1090C4×D4—44no—
1091C4×D4—84no—
1092C4×D4—84no—
1093C4×D4—84no—
1094C4×D4—84no—
1095#117—24no—
1096#117—28no—
1097#117—28no—
1098#117—28no—
1099#117—24no—
1100#117—24no—
1101#117—24no—
1102#117—28no—
1103#117—42no—
1104C2×C4⋊C4—24no—
1105C2×C4⋊C4—24no—
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4—24no—
1108C2×C4⋊C4—28no—
1109C2×C4⋊C4—84no—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2412yes—
1160C2×C22⋊C4—28no—
1161C2×C22⋊C4—28no—
1162C2×C22⋊C4—28no—
1163C2×C22⋊C4—28no—
1164C2×C22⋊C4—28no—
1165C2×C22⋊C4—28no—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4—28no—
1168C2×C22⋊C4—28no—
1169C2×C22⋊C4—44no—
1170C2×C22⋊C4—84no—
1171C2×C22⋊C4C2×D4116yes—
1172C2×C22⋊C4C2×D4116yes—
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C22⋊C4C2411yescharacteristic
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2411yescharacteristic
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2411yescharacteristic
1249C2×C22⋊C4C2412yes—
1250C2×C42—28no—
1251C2×C42—24no—
1252C2×C42—24no—
1253C2×C42—24no—
1254C2×C42—24no—
1255C2×C42C2×D418yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2411yescharacteristic
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263C2×C42C2412yes—
1264C2×C42C2414yes—
1265C2×C42C2414yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268C2×C42C2411yescharacteristic
1269C2×C42C2411yescharacteristic
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2412yes—
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2414yes—
1278C2×C42C2414yes—
1279C2×C42C2414yes—
1280C2×C42C2411yescharacteristic
1281C2×C42C2411yescharacteristic
1282C2×C42C2411yescharacteristic
1283C2×C42C2411yescharacteristic
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2414yes—
1322#95C2412yes—
1323#95C2414yes—
1324#95C2412yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329C24—24no—
1330C24—24no—
1331C24—24no—
1332C24—24no—
1333C24—24no—
1334C24—24no—
1335C24—24no—
1336C24—44no—
1337C24—44no—
1338C24—44no—
1339C24—44no—
1340C24—42no—
1341C24—44no—
1342C24—44no—
1343C24C22×D418yes—
1344C24C2514yes—
1345C24C2512yes—
1346C24C2511yescharacteristic
1347C24C2512yes—
1348C24C2512yes—
1349C24C2511yescharacteristic
1350C24C2511yescharacteristic
1351#41—416no—
1352#41—88no—
1353#41—88no—
1354C2×Q8—22no—
1355C2×Q8—24no—
1356C2×Q8—24no—
1357C2×Q8—22no—
1358C2×Q8—24no—
1359C2×Q8—24no—
1360C2×Q8—24no—
1361C2×Q8—22no—
1362C2×Q8—24no—
1363C2×Q8—24no—
1364C2×Q8—24no—
1365C2×Q8—42no—
1366C2×Q8—44no—
1367C2×Q8—42no—
1368C2×Q8—41no—
1369C2×Q8—44no—
1370C2×Q8—416no—
1371C2×Q8—416no—
1372C2×Q8—88no—
1373C2×Q8C22×D414yes—
1374C2×Q8C22×D414yes—
1375C2×Q8C22×D418yes—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—28no—
1383C2×D4—28no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—28no—
1395C2×D4—28no—
1396C2×D4—28no—
1397C2×D4—22no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—22no—
1401C2×D4—24no—
1402C2×D4—28no—
1403C2×D4—24no—
1404C2×D4—28no—
1405C2×D4—28no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—416no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—41no—
1419C2×D4—432no—
1420C2×D4—416no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—432no—
1441C2×D4—88no—
1442C2×D4—816no—
1443C2×D4C22×D414yes—
1444C2×D4C22×D414yes—
1445C2×D4C22×D418yes—
1446C2×D4C2×#4114yes—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—24no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—28no—
1463C22×C4—28no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—28no—
1478C22×C4—28no—
1479C22×C4—28no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—44no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—44no—
1486C22×C4—41no—
1487C22×C4—41no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—42no—
1494C22×C4—44no—
1495C22×C4—42no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—44no—
1503C22×C4—44no—
1504C22×C4—44no—
1505C22×C4—44no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—816no—
1509C22×C4—816no—
1510C22×C4C22×D414yes—
1511C22×C4C22×D414yes—
1512C22×C4C22×D418yes—
1513C22×C4C22×D414yes—
1514C22×C4C2×#4114yes—
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2514yes—
1518C22×C4C2514yes—
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2512yes—
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2514yes—
1528C22×C4C2512yes—
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2512yes—
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C22×C4C2512yes—
1537C22×C4C2512yes—
1538C22×C4C2511yescharacteristic
1539C22×C4C2512yes—
1540C22×C4C2512yes—
1541C22×C4C2511yescharacteristic
1542C22×C4C2511yescharacteristic
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—28no—
1550C4⋊C4—28no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—22no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—22no—
1559C4⋊C4—22no—
1560C4⋊C4—22no—
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—28no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—42no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—42no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—42no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—42no—
1591C4⋊C4—42no—
1592C4⋊C4C2×#4118yes—
1593C22⋊C4—22no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—28no—
1598C22⋊C4—28no—
1599C22⋊C4—24no—
1600C22⋊C4—22no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—22no—
1606C22⋊C4—24no—
1607C22⋊C4—22no—
1608C22⋊C4—24no—
1609C22⋊C4—22no—
1610C22⋊C4—22no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—28no—
1616C22⋊C4—28no—
1617C22⋊C4—28no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—28no—
1621C22⋊C4—28no—
1622C22⋊C4—22no—
1623C22⋊C4—22no—
1624C22⋊C4—22no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—28no—
1629C22⋊C4—28no—
1630C22⋊C4—28no—
1631C22⋊C4—28no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—44no—
1635C22⋊C4—42no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—42no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—42no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—42no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4C22×D418yes—
1661C22⋊C4C22×D418yes—
1662C22⋊C4C22×D418yes—
1663C22⋊C4C22×D418yes—
1664C22⋊C4C22×D418yes—
1665C22⋊C4C22×D418yes—
1666C22⋊C4C22×D418yes—
1667C22⋊C4C22×D418yes—
1668C22⋊C4C2×#4114yes—
1669C22⋊C4C2×#4118yes—
1670C42—22no—
1671C42—22no—
1672C42—22no—
1673C42—28no—
1674C42—28no—
1675C42—22no—
1676C42—24no—
1677C42—24no—
1678C42—22no—
1679C42—22no—
1680C42—24no—
1681C42—24no—
1682C42—24no—
1683C42—24no—
1684C42—24no—
1685C42—24no—
1686C42—24no—
1687C42—24no—
1688C42—42no—
1689C42—42no—
1690C42—42no—
1691C42—44no—
1692C42—44no—
1693C42—44no—
1694C42C22×D414yes—
1695C42C22×D414yes—
1696C42C22×D414yes—
1697C42C22×D414yes—
1698C23—22no—
1699C23—22no—
1700C23—21no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—24no—
1705C23—24no—
1706C23—22no—
1707C23—22no—
1708C23—21no—
1709C23—22no—
1710C23—24no—
1711C23—24no—
1712C23—216no—
1713C23—22no—
1714C23—24no—
1715C23—21no—
1716C23—21no—
1717C23—22no—
1718C23—24no—
1719C23—24no—
1720C23—24no—
1721C23—22no—
1722C23—24no—
1723C23—22no—
1724C23—21no—
1725C23—24no—
1726C23—22no—
1727C23—24no—
1728C23—24no—
1729C23—24no—
1730C23—48no—
1731C23—48no—
1732C23—48no—
1733C23—48no—
1734C23—48no—
1735C23—48no—
1736C23—88no—
1737C23—88no—
1738C23—88no—
1739C23—88no—
1740C23—84no—
1741C23—88no—
1742C23—84no—
1743C23—164no—
1744C23C23×D414yes—
1745C23C23×D414yes—
1746C23C23×D412yes—
1747C23C22×#4112yes—
1748C23C22×#4112yes—
1749C23#58512yes—
1750C23C2611yescharacteristic
1751Q8—28no—
1752Q8—28no—
1753Q8—48no—
1754Q8—48no—
1755Q8—48no—
1756Q8—44no—
1757Q8—44no—
1758Q8—84no—
1759D4—28no—
1760D4—28no—
1761D4—28no—
1762D4—48no—
1763D4—416no—
1764D4—416no—
1765D4—48no—
1766D4—44no—
1767D4—48no—
1768D4—48no—
1769D4—48no—
1770D4—44no—
1771D4—48no—
1772D4—44no—
1773D4—88no—
1774D4—84no—
1775D4—88no—
1776D4—84no—
1777D4—84no—
1778D4—84no—
1779D4—88no—
1780D4—88no—
1781D4—84no—
1782D4—88no—
1783D4—88no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—24no—
1791C2×C4—24no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—28no—
1800C2×C4—28no—
1801C2×C4—28no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—24no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—24no—
1825C2×C4—24no—
1826C2×C4—24no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—24no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—24no—
1836C2×C4—24no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—24no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—24no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—44no—
1848C2×C4—48no—
1849C2×C4—44no—
1850C2×C4—48no—
1851C2×C4—44no—
1852C2×C4—44no—
1853C2×C4—48no—
1854C2×C4—44no—
1855C2×C4—44no—
1856C2×C4—44no—
1857C2×C4—44no—
1858C2×C4—88no—
1859C2×C4—82no—
1860C2×C4—84no—
1861C2×C4—82no—
1862C2×C4—88no—
1863C2×C4—88no—
1864C2×C4—84no—
1865C2×C4—84no—
1866C2×C4—84no—
1867C2×C4—88no—
1868C2×C4—88no—
1869C2×C4—84no—
1870C2×C4—164no—
1871C2×C4C23×D412yes—
1872C2×C4C23×D414yes—
1873C2×C4C23×D414yes—
1874C2×C4C23×D412yes—
1875C2×C4C23×D412yes—
1876C2×C4C23×D412yes—
1877C2×C4C23×D412yes—
1878C2×C4C23×D412yes—
1879C2×C4C22×#4114yes—
1880C2×C4C22×#4112yes—
1881C2×C4C22×#4114yes—
1882C2×C4#58514yes—
1883C22—24no—
1884C22—22no—
1885C22—22no—
1886C22—24no—
1887C22—24no—
1888C22—24no—
1889C22—24no—
1890C22—24no—
1891C22—24no—
1892C22—22no—
1893C22—24no—
1894C22—24no—
1895C22—44no—
1896C22—44no—
1897C22—41no—
1898C22—41no—
1899C22—44no—
1900C22—44no—
1901C22—42no—
1902C22—44no—
1903C22—44no—
1904C22—44no—
1905C22—42no—
1906C22—41no—
1907C22—42no—
1908C22—44no—
1909C22—44no—
1910C22—41no—
1911C22—42no—
1912C22—41no—
1913C22—44no—
1914C22—42no—
1915C22—42no—
1916C22—44no—
1917C22—44no—
1918C22—44no—
1919C22—816no—
1920C22—816no—
1921C22—168no—
1922C22D4×#4114yes—
1923C22C24×D411yescharacteristic
1924C22C23×#4111yescharacteristic
1925C22C2×#58512yes—
1926C22C2×#58511yescharacteristic
1927C22H(7,𝔽2)12yes—
1928C4—24no—
1929C4—22no—
1930C4—24no—
1931C4—24no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—24no—
1937C4—22no—
1938C4—42no—
1939C4—44no—
1940C4—41no—
1941C4—41no—
1942C4—42no—
1943C4—42no—
1944C4—44no—
1945C4—42no—
1946C4—41no—
1947C4—42no—
1948C4—41no—
1949C4—42no—
1950C4—41no—
1951C4—42no—
1952C4—42no—
1953C4—44no—
1954C4—42no—
1955C4#348514yes—
1956C2—24no—
1957C2—44no—
1958C2—44no—
1959C2—42no—
1960C2—81no—
1961C2—84no—
1962C2—82no—
1963C2C2×D4×#4111yescharacteristic
1964C2C2×#348511yescharacteristic
1965C2#6285211yescharacteristic
1966C2#6296512yes—
1967C2#6301012yes—
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×#3514C2semidirect
2. C22×#559C2semidirect
3. #59829C2semidirect
4. #59641C2semidirect
5. #59417C2semidirect
6. #59414C2semidirect
7. #59147C2semidirect
8. #59145C2semidirect
9. #59072C2semidirect
10. #59068C2semidirect
11. #44778C2semidirect
12. #44401C2semidirect
13. #44275C2semidirect
14. #44272C2semidirect
15. #39464C2semidirect
16. #39461C2semidirect
17. #39336C2semidirect
18. #39333C2semidirect
19. #39135C2semidirect
20. #39123C2semidirect
21. #38039C2semidirect
22. #38023C2semidirect
23. #36578C2semidirect
24. Q8×#123C2semidirect
25. #36237C2semidirect
26. #36236C2semidirect
27. #35394C2semidirect
28. #35354C2semidirect
29. #35111C2semidirect
30. #34986C2semidirect
31. #34965C2semidirect
32. #34963C2semidirect
33. #34264C2semidirect
34. #34240C2semidirect
35. C4×#536C2semidirect
40. C2×#559C22semidirect
41. C2×#559C22semidirect
42. C2×#559C22semidirect
43. C2×#559C22semidirect
44. C2×#559C22semidirect
45. C2×#556C22semidirect
46. C2×#555C22semidirect
48. C2×#551C22semidirect
51. C2×#548C22semidirect
54. C2×#546C22semidirect
56. C2×#542C22semidirect
58. C2×#538C22semidirect
61. C2×#532C22semidirect
64. C2×#529C22semidirect
65. C2×#529C22semidirect
67. C22×#124C22semidirect
68. C22×#124C22semidirect
69. C22×#124C22semidirect
70. C22×#123C22semidirect
71. C22×#123C22semidirect
74. C22×C4×Q8C22semidirect
75. C22×C4×Q8C22semidirect
77. C22×C4×D4C22semidirect
78. C22×C4×D4C22semidirect
79. #2855C22semidirect
80. #2855C22semidirect
81. #2855C22semidirect
84. #2854C22semidirect
86. #2849C22semidirect
87. #2733C22semidirect
88. #2731C22semidirect
89. #2730C22semidirect
90. #2730C22semidirect
91. #2718C22semidirect
92. #2718C22semidirect
93. #2715C22semidirect
94. #2712C22semidirect
95. #2710C22semidirect
96. #2710C22semidirect
97. #2710C22semidirect
98. #2709C22semidirect
99. #2706C22semidirect
100. #2706C22semidirect
101. #2703C22semidirect
102. #2703C22semidirect
103. #2700C22semidirect
104. #2676C22semidirect
105. #2674C22semidirect
107. #2673C22semidirect
108. #2672C22semidirect
109. #2670C22semidirect
111. #2626C22semidirect
112. #2623C22semidirect
113. #2617C22semidirect
114. #2614C22semidirect
116. #2613C22semidirect
117. #2604C22semidirect
118. #2603C22semidirect
119. #2599C22semidirect
120. #2598C22semidirect
121. #2598C22semidirect
122. #2592C22semidirect
123. #2584C22semidirect
124. #2581C22semidirect
125. #2580C22semidirect
126. #2580C22semidirect
127. #2566C22semidirect
128. #2561C22semidirect
129. #2557C22semidirect
130. #2557C22semidirect
131. #2557C22semidirect
132. #2555C22semidirect
133. #2553C22semidirect
134. #2553C22semidirect
135. #2548C22semidirect
136. #2545C22semidirect
138. #2544C22semidirect
140. #2539C22semidirect
141. #2539C22semidirect
142. #2535C22semidirect
144. #2534C22semidirect
145. #2521C22semidirect
147. #2504C22semidirect
148. #2502C22semidirect
149. #2502C22semidirect
150. #2501C22semidirect
151. #2491C22semidirect
152. #2488C22semidirect
153. #2488C22semidirect
156. #2487C22semidirect
157. #2487C22semidirect
158. #2483C22semidirect
159. #2482C22semidirect
160. #2474C22semidirect
161. #2472C22semidirect
162. #2470C22semidirect
163. #2470C22semidirect
164. #2466C22semidirect
165. #2466C22semidirect
166. #2464C22semidirect
167. #2464C22semidirect
168. #2461C22semidirect
169. #2459C22semidirect
170. #2459C22semidirect
171. #2459C22semidirect
172. #2457C22semidirect
173. #2457C22semidirect
174. #2456C22semidirect
175. #2456C22semidirect
176. #2455C22semidirect
177. #2455C22semidirect
178. #2455C22semidirect
179. #2455C22semidirect
180. #2448C22semidirect
181. #2448C22semidirect
182. #2448C22semidirect
183. #2448C22semidirect
184. #2447C22semidirect
185. #2446C22semidirect
186. #2446C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2444C22semidirect
191. #2443C22semidirect
192. #2436C22semidirect
193. #2435C22semidirect
196. #2431C22semidirect
197. #2431C22semidirect
200. #2426C22semidirect
201. #2426C22semidirect
202. #2425C22semidirect
203. #2425C22semidirect
204. #2423C22semidirect
205. #2423C22semidirect
206. #2422C22semidirect
207. #2422C22semidirect
208. #2422C22semidirect
209. #2421C22semidirect
210. #2421C22semidirect
211. #2420C22semidirect
212. #2419C22semidirect
213. #2418C22semidirect
214. #2418C22semidirect
215. #2418C22semidirect
216. #2413C22semidirect
218. #2412C22semidirect
219. #2412C22semidirect
220. #2411C22semidirect
221. #2411C22semidirect
223. #2410C22semidirect
225. #2408C22semidirect
227. #2405C22semidirect
230. #2398C22semidirect
231. #2397C22semidirect
232. #2392C22semidirect
233. #2372C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
236. #2364C22semidirect
237. #2364C22semidirect
238. #2361C22semidirect
239. #2361C22semidirect
240. #2359C22semidirect
241. #2359C22semidirect
242. #2358C22semidirect
243. #2358C22semidirect
244. #2351C22semidirect
245. Q8×C4⋊C4C22semidirect
246. #2349C22semidirect
247. D4×C4⋊C4C22semidirect
248. #2342C22semidirect
249. #2342C22semidirect
250. #2341C22semidirect
251. Q8×C22⋊C4C22semidirect
252. Q8×C22⋊C4C22semidirect
253. Q8×C22⋊C4C22semidirect
254. #2339C22semidirect
257. D4×C22⋊C4C22semidirect
258. #2337C22semidirect
259. #2327C22semidirect
260. #2326C22semidirect
261. #2323C22semidirect
262. #2323C22semidirect
265. #2322C22semidirect
266. #2322C22semidirect
267. #2322C22semidirect
268. #2322C22semidirect
270. #2321C22semidirect
271. #2317C22semidirect
272. #2312C22semidirect
274. #2310C22semidirect
275. #2308C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×#127C22semidirect
278. C4×#124C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
281. C4×#124C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
287. C4×#123C22semidirect
288. C4×#123C22semidirect
289. C4×#123C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
293. C4×#120C22semidirect
294. C4×#120C22semidirect
295. C4×#120C22semidirect
297. C2×#385C22semidirect
298. #2283C22semidirect
299. #2273C22semidirect
300. C4×#117C22semidirect
360. C2×#124D4semidirect
1009. #123#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C22×#5592
#598292
#596412
#594172
#594142
#591472
#591452
#590722
#590682
#447782
#444012
#442752
#442722
#394642
#394612
#393362
#393332
#391352
#391232
#380392
#380232
#365782
Q8×#1232
#362372
#362362
#353942
#353542
#351112
#349862
#349652
#349632
#342642
#342402
C4×#5362