Finite Group Databasebeta

← #7732621

Subgroups — #7732621

Order 512.

7121 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#51412C214yesmaximal, complemented
4#50859C214yesmaximal, complemented
5#46834C214yesmaximal, complemented
6#46379C214yesmaximal, complemented
7#45246C212yesmaximal, complemented
8#45245C212yesmaximal, complemented
9#45108C212yesmaximal, complemented
10#45103C212yesmaximal, complemented
11#39726C211yesmaximal, characteristic, complemented
12#39596C211yesmaximal, characteristic, complemented
13#38923C211yesmaximal, characteristic, complemented
14#38922C212yesmaximal, complemented
15#38910C211yesmaximal, characteristic, complemented
16#38902C212yesmaximal, complemented
17#38050C212yesmaximal, complemented
18#38024C212yesmaximal, complemented
19#37774C212yesmaximal, complemented
20#37759C212yesmaximal, complemented
21#37696C212yesmaximal, complemented
22#37676C212yesmaximal, complemented
23#37619C211yesmaximal, characteristic, complemented
24#37280C212yesmaximal, complemented
25#37275C212yesmaximal, complemented
26#36580C211yesmaximal, characteristic, complemented
27Q8×#121C211yesmaximal, characteristic, complemented
28#36405C211yesmaximal, characteristic, complemented
29#36258C211yesmaximal, characteristic, complemented
30#35522C212yesmaximal, complemented
31#35515C212yesmaximal, complemented
32#35280C211yesmaximal, characteristic, complemented
33#35273C211yesmaximal, characteristic, complemented
34#34909C211yesmaximal, characteristic, complemented
35#34384C211yesmaximal, characteristic, complemented
36#3514—216no—
37C2×#559C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#555C2212yes—
40C2×#551C2214yes—
41C2×D4×Q8C2211yescharacteristic
42C2×D4×Q8C2212yescomplemented
43C2×#548C2212yes—
44C2×#546C2212yes—
45C2×#546C2212yes—
46C2×#546C2212yes—
47C2×D42C2211yescharacteristic
48#3461—216no—
49C2×#544C2211yescharacteristic, complemented
50C2×#542C2211yescharacteristic
51C2×#542C2212yes—
52C2×#542C2211yescharacteristic
53C2×#542C2212yescomplemented
54C2×#541C2211yescharacteristic, complemented
55C2×#541C2211yescharacteristic, complemented
56C2×#541C2212yescomplemented
57C2×#539C2212yescomplemented
58C2×#539C2212yescomplemented
59C2×#538C2214yes—
60C2×#537C2211yescharacteristic
61C2×#537C2212yescomplemented
62C2×#536C2211yescharacteristic
63C2×#536C2211yescharacteristic, complemented
64C2×#533C2211yescharacteristic, complemented
65C2×#533C2212yescomplemented
66C2×#533C2211yescharacteristic, complemented
67C2×#532C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#529C2212yes—
70C2×#529C2211yescharacteristic
71C2×#529C2212yescomplemented
72C2×#529C2212yescomplemented
73C2×#529C2212yescomplemented
74C22×#124C2212yes—
75C2×#518C2212yes—
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic, complemented
79C22×C4×Q8C2211yescharacteristic, complemented
80#2857C2212yescomplemented
81#2857C2211yescharacteristic, complemented
82#2857C2212yescomplemented
83#2857C2211yescharacteristic, complemented
84#2857C2212yescomplemented
85#2856C2211yescharacteristic
86#2856C2211yescharacteristic
87#2855C2212yescomplemented
88#2854C2212yes—
89#2850C2212yescomplemented
90#2816C2214yescomplemented
91#2727C2214yescomplemented
92#2722C2214yescomplemented
93#2721C2214yescomplemented
94#2720C2214yescomplemented
95#2716C2214yescomplemented
96#2715C2214yescomplemented
97#2715C2214yescomplemented
98#2712C2214yescomplemented
99#2710C2214yescomplemented
100#2708C2214yescomplemented
101#2707C2214yescomplemented
102#2707C2214yescomplemented
103#2705C2214yescomplemented
104#2704C2214yescomplemented
105#2702C2214yescomplemented
106#2700C2214yescomplemented
107#2696C2214yescomplemented
108#2695C2214yescomplemented
109#2695C2214yescomplemented
110#2694C2214yescomplemented
111#2692C2214yescomplemented
112#2691C2214yescomplemented
113#2690C2214yescomplemented
114#2687C2214yescomplemented
115#2685C2214yes—
116#2684C2214yescomplemented
117#2681C2214yescomplemented
118#2681C2214yescomplemented
119#2680C2214yescomplemented
120#2678C2214yes—
121#2677C2214yescomplemented
122#2676C2214yescomplemented
123#2674C2214yescomplemented
124#2674C2214yescomplemented
125#2672C2214yescomplemented
126#2672C2214yescomplemented
127#2672C2214yescomplemented
128#2671C2214yescomplemented
129#2671C2214yescomplemented
130#2668C2214yescomplemented
131#2658C2212yescomplemented
132#2640C2212yescomplemented
133#2633C2214yescomplemented
134#2629C2214yescomplemented
135#2628C2212yescomplemented
136#2625C2212yescomplemented
137#2624C2212yes—
138#2624C2212yescomplemented
139#2624C2212yescomplemented
140#2620C2212yescomplemented
141#2620C2212yescomplemented
142#2620C2212yescomplemented
143#2600C2212yescomplemented
144#2600C2212yescomplemented
145#2599C2212yescomplemented
146#2598C2212yescomplemented
147#2592C2212yescomplemented
148#2592C2212yescomplemented
149#2582C2211yescharacteristic, complemented
150#2582C2211yescharacteristic, complemented
151#2582C2212yescomplemented
152#2581C2211yescharacteristic, complemented
153#2580C2211yescharacteristic
154#2580C2212yes—
155#2580C2212yescomplemented
156#2580C2212yescomplemented
157#2580C2212yescomplemented
158#2567C2212yescomplemented
159#2559C2214yescomplemented
160#2548C2211yescharacteristic
161#2548C2211yescharacteristic
162#2547C2212yes—
163#2546C2211yescharacteristic, complemented
164#2546C2211yescharacteristic, complemented
165#2546C2212yescomplemented
166#2545C2212yescomplemented
167#2542C2212yescomplemented
168#2540C2212yes—
169#2538C2212yes—
170#2538C2211yescharacteristic
171#2538C2212yes—
172#2538C2211yescharacteristic
173#2538C2212yescomplemented
174#2538C2212yescomplemented
175#2538C2212yescomplemented
176#2537C2214yescomplemented
177#2537C2212yescomplemented
178#2537C2212yescomplemented
179#2536C2211yescharacteristic, complemented
180#2535C2211yescharacteristic
181#2534C2214yescomplemented
182#2521C2214yescomplemented
183#2492C2212yescomplemented
184#2491C2214yescomplemented
185#2490C2212yes—
186#2485C2211yescharacteristic, complemented
187#2485C2212yescomplemented
188#2485C2212yescomplemented
189#2485C2211yescharacteristic, complemented
190#2480C2214yescomplemented
191#2480C2214yescomplemented
192#2479C2214yescomplemented
193#2478C2214yescomplemented
194#2475C2214yescomplemented
195#2472C2214yescomplemented
196#2468C2214yescomplemented
197#2467C2214yescomplemented
198#2464C2214yescomplemented
199#2463C2214yescomplemented
200#2460C2214yescomplemented
201#2458C2214yescomplemented
202#2456C2214yescomplemented
203#2454C2214yescomplemented
204#2454C2214yescomplemented
205#2453C2212yescomplemented
206#2452C2214yescomplemented
207#2452C2212yescomplemented
208#2452C2214yescomplemented
209#2448C2212yescomplemented
210#2447C2212yes—
211#2443C2214yescomplemented
212#2441C2214yescomplemented
213#2437C2214yescomplemented
214#2437C2214yescomplemented
215#2437C2214yescomplemented
216#2437C2214yescomplemented
217#2437C2214yescomplemented
218#2436C2212yescomplemented
219#2435C2212yes—
220#2434C2212yescomplemented
221#2432C2212yes—
222#2432C2212yescomplemented
223#2432C2212yescomplemented
224#2429C2212yescomplemented
225#2429C2214yescomplemented
226#2429C2212yescomplemented
227#2427C2212yes—
228#2427C2214yescomplemented
229#2427C2212yescomplemented
230#2426C2212yes—
231#2426C2212yescomplemented
232#2424C2214yes—
233#2424C2214yescomplemented
234#2424C2214yescomplemented
235#2418C2214yescomplemented
236#2418C2214yescomplemented
237#2417C2212yescomplemented
238#2417C2214yescomplemented
239#2417C2212yescomplemented
240#2417C2212yescomplemented
241#2417C2212yescomplemented
242#2417C2214yescomplemented
243#2416C2212yes—
244#2416C2212yescomplemented
245#2416C2212yescomplemented
246#2416C2212yescomplemented
247#2416C2212yescomplemented
248#2415C2214yescomplemented
249#2415C2212yescomplemented
250#2414C2212yes—
251#2414C2212yes—
252#2412C2214yescomplemented
253#2411C2214yes—
254#2409C2212yescomplemented
255#2408C2212yes—
256#2408C2212yes—
257#2408C2212yes—
258#2407C2211yescharacteristic
259#2407C2211yescharacteristic
260#2395C2212yescomplemented
261#2388C2212yescomplemented
262#2383C2214yescomplemented
263#2367C2212yescomplemented
264#2365C2212yescomplemented
265#2362C2212yescomplemented
266#2361C2212yes—
267#2361C2212yescomplemented
268#2360C2212yescomplemented
269#2355C2211yescharacteristic, complemented
270#2354C2211yescharacteristic
271#2352C2212yescomplemented
272Q8×C4⋊C4C2211yescharacteristic, complemented
273D4×C4⋊C4C2211yescharacteristic
274D4×C4⋊C4C2212yescomplemented
275Q8×C22⋊C4C2212yescomplemented
276D4×C22⋊C4C2212yes—
277#2330C2212yescomplemented
278#2326C2212yes—
279#2324C2212yes—
280#2324C2212yescomplemented
281#2322C2214yescomplemented
282#2317C2212yescomplemented
283#2316C2212yescomplemented
284#2316C2212yescomplemented
285#2314C2212yescomplemented
286#2311C2212yes—
287#2311C2212yescomplemented
288#2309C2212yes—
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×C22⋊Q8C2211yescharacteristic, complemented
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic
293C4×#121C2212yes—
294C4×#121C2212yescomplemented
295#2296C2212yescomplemented
296C2×#390C2212yes—
297#2290C2212yescomplemented
298#2290C2212yescomplemented
299C2×#384C2211yescharacteristic, complemented
300#2283C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C23×Q8C2311yescharacteristic
306C23×Q8C2312yes—
307C23×D4C2312yes—
308C23×D4C2312yes—
309#559—28no—
310#556—28no—
311#555—216no—
312#551—232no—
313D4×Q8—28no—
314D4×Q8—48no—
315#548—216no—
316#546—216no—
317#546—216no—
318#546—48no—
319D42—28no—
320#544—28no—
321#542—28no—
322#542—216no—
323#542—28no—
324#542—216no—
325#541—216no—
326#541—28no—
327#541—28no—
328#539—216no—
329#539—216no—
330#538—232no—
331#537—28no—
332#537—48no—
333#536—28no—
334#536—28no—
335#533—28no—
336#533—216no—
337#533—28no—
338#532—28no—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2314yes—
350C2×#127C2311yescharacteristic
351#529—216no—
352#529—28no—
353#529—216no—
354#529—216no—
355#529—216no—
356#529D4116yescomplemented
357C2×#126C2314yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2314yes—
366C2×#126C2312yes—
367C2×#125C2312yes—
368C2×#125C2311yescharacteristic
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#125C2312yes—
375C2×#125C2311yescharacteristic
376C2×#124—216no—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2314yes—
380C2×#124C2314yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2311yescharacteristic
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2314yes—
388C2×#124C2312yes—
389C2×#124C2312yes—
390C2×#124C2311yescharacteristic
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2314yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×#123C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2314yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2314yes—
429C2×C22⋊Q8C2314yes—
430C2×C22⋊Q8C2314yes—
431C2×C22⋊Q8C2314yes—
432C2×C22⋊Q8C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2311yescharacteristic
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2314yes—
450C2×#121C2314yes—
451C2×#121C2314yes—
452C2×#121C2314yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2311yescharacteristic
456C2×#120C2314yes—
457C2×#120C2314yes—
458C2×#120C2314yes—
459C2×#120C2314yes—
460#518—216no—
461C4×#41—28no—
462C4×#41—28no—
463C4×#41—28no—
464C2×C4×Q8—28no—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2312yes—
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2312yes—
479C2×C4×Q8C2312yes—
480C2×C4×Q8C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2314yes—
501C2×C4×D4C2314yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2314yes—
506C2×C4×D4C2314yes—
507C2×C4×D4C2314yes—
508C2×C4×D4C2311yescharacteristic
509C2×C4×D4C2312yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C2×#117C2311yescharacteristic
513C2×#117C2311yescharacteristic
514C2×#117C2312yes—
515C2×#117C2312yes—
516C2×#117C2312yes—
517C2×#117C2311yescharacteristic
518C2×#117C2311yescharacteristic
519C2×#117C2311yescharacteristic
520C2×#117C2312yes—
521C2×#117C2314yes—
522C2×#117C2312yes—
523C2×#117C2312yes—
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2312yes—
529C22×C4⋊C4C2312yes—
530C22×C22⋊C4C2314yes—
531C22×C22⋊C4C2314yes—
532C22×C22⋊C4C2314yes—
533C22×C22⋊C4C2314yes—
534C22×C22⋊C4C2314yes—
535C22×C42C2312yes—
536C22×C42C2312yes—
537C22×C42C2311yescharacteristic
538C22×C42C2311yescharacteristic
539C22×C42C2312yes—
540C22×C42C2311yescharacteristic
541#400C2312yes—
542#400C2314yes—
543#400C2314yes—
544#399C2314yes—
545#399C2314yes—
546#399C2312yes—
547#399C2314yes—
548#399C2314yes—
549#399C2314yes—
550#399C2314yes—
551#399C2314yes—
552#399C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2312yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#398C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#395C2314yes—
594#395C2314yes—
595#395C2312yes—
596#395C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2312yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#393C2314yes—
624#393C2314yes—
625#393C2312yes—
626#393C2314yes—
627#393C2314yes—
628#393C2314yes—
629#393C2314yes—
630#393C2314yes—
631#392C2312yes—
632#392C2312yes—
633#392C2312yes—
634#392C2314yes—
635#392C2314yes—
636#392C2314yes—
637#391C2312yes—
638#391C2312yes—
639#391C2312yes—
640#391C2312yes—
641#391C2314yes—
642#391C2311yescharacteristic
643#391C2311yescharacteristic
644#391C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2314yes—
648#391C2314yes—
649#391C2312yes—
650#391C2314yes—
651#391C2312yes—
652#390C2311yescharacteristic
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2314yes—
657#390C2314yes—
658#390C2312yes—
659#390C2312yes—
660#390C2312yes—
661#390C2314yes—
662#390C2312yes—
663#390C2314yes—
664#390C2311yescharacteristic
665#390C2312yes—
666#390C2312yes—
667#390C2312yes—
668#390C2312yes—
669#390C2312yes—
670#390C2312yes—
671#390C2312yes—
672#390C2312yes—
673#390C2314yes—
674#390C2314yes—
675#390C2314yes—
676#389C2311yescharacteristic
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2311yescharacteristic
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2314yes—
686#389C2314yes—
687#389C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2314yes—
692#389C2311yescharacteristic
693#389C2312yes—
694#389C2312yes—
695#389C2311yescharacteristic
696#389C2312yes—
697#389C2312yes—
698#389C2314yes—
699#389C2312yes—
700#389C2314yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2314yes—
706#389C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2312yes—
720#388C2312yes—
721#388C2314yes—
722#388C2314yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2312yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2312yes—
737#387C2312yes—
738#387C2314yes—
739#387C2312yes—
740#387C2312yes—
741#387C2312yes—
742#387C2312yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2312yes—
759#386C2312yes—
760#386C2312yes—
761#386C2312yes—
762#386C2312yes—
763#386C2312yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2312yes—
774#385C2312yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2312yes—
785#385C2312yes—
786#385C2312yes—
787#385C2312yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#384C2314yes—
792#384C2312yes—
793#384C2312yes—
794#384C2312yes—
795#384C2311yescharacteristic
796#384C2311yescharacteristic
797#384C2312yes—
798#383C2312yes—
799#382C2311yescharacteristic
800#382C2311yescharacteristic
801#382C2312yes—
802#381C2312yes—
803#381C2314yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2312yes—
809#380C2312yes—
810#380C2314yes—
811#380C2314yes—
812#380C2314yes—
813#380C2314yes—
814#380C2312yes—
815#380C2311yescharacteristic
816#380C2312yes—
817#380C2312yes—
818#380C2314yes—
819#380C2312yes—
820#380C2311yescharacteristic
821#380C2314yes—
822#380C2312yes—
823#380C2312yes—
824#380C2314yes—
825#380C2311yescharacteristic
826#380C2311yescharacteristic
827#380C2311yescharacteristic
828#380C2314yes—
829#380C2314yes—
830#380C2311yescharacteristic
831#379C2314yes—
832#379C2314yes—
833#379C2314yes—
834#379C2314yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2314yes—
842C4×C4⋊C4C2312yes—
843C4×C4⋊C4C2314yes—
844C4×C4⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2312yes—
852C4×C22⋊C4C2312yes—
853#376C2312yes—
854C25C2414yes—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—28no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—42no—
863C2×#41—42no—
864C2×#41—42no—
865C2×#41—44no—
866C2×#41—44no—
867C22×Q8—24no—
868C22×Q8—28no—
869C22×Q8—24no—
870C22×Q8—42no—
871C22×Q8—44no—
872C22×Q8—44no—
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2411yescharacteristic
878C22×Q8C2412yes—
879C22×Q8C2411yescharacteristic
880C22×Q8C2412yes—
881C22×Q8C2412yes—
882C22×Q8C2414yes—
883C22×D4—28no—
884C22×D4—28no—
885C22×D4—28no—
886C22×D4—44no—
887C22×D4—44no—
888C22×D4—44no—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2411yescharacteristic
898C22×D4C2411yescharacteristic
899C22×D4C2411yescharacteristic
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2412yes—
922C23×C4C2414yes—
923C23×C4C2414yes—
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2414yes—
928C23×C4C2414yes—
929C23×C4C2411yescharacteristic
930C4⋊Q8—24no—
931C4⋊Q8—28no—
932C4⋊Q8—28no—
933C4⋊Q8—24no—
934C4⋊Q8—24no—
935C4⋊Q8—24no—
936C4⋊Q8—24no—
937C4⋊Q8—28no—
938C4⋊Q8—44no—
939C4⋊Q8—44no—
940C4⋊Q8—48no—
941#127—24no—
942#126—216no—
943#126—28no—
944#126—28no—
945#126—28no—
946#126—28no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—216no—
951#126C2×D4116yes—
952#125—28no—
953#125—28no—
954#125—28no—
955#125—24no—
956#125—28no—
957#125—28no—
958#125—28no—
959#125—28no—
960#125C2×D418yes—
961#124—28no—
962#124—28no—
963#124—24no—
964#124—28no—
965#124—216no—
966#124—216no—
967#124—28no—
968#124—28no—
969#124—216no—
970#124—28no—
971#124—28no—
972#124—44no—
973#124—44no—
974#124C2×D418yes—
975#123—28no—
976#123—28no—
977#123—216no—
978#123—216no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—216no—
985#123—48no—
986#123C2×D4116yes—
987C22⋊Q8—24no—
988C22⋊Q8—24no—
989C22⋊Q8—24no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—24no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—24no—
998C22⋊Q8—28no—
999C22⋊Q8—216no—
1000C22⋊Q8—216no—
1001C22⋊Q8—28no—
1002C22⋊Q8—28no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—48no—
1007C22⋊Q8—48no—
1008C22⋊Q8—48no—
1009C22⋊Q8—42no—
1010C22⋊Q8—42no—
1011C22⋊Q8—44no—
1012C22⋊Q8—44no—
1013C22⋊Q8—44no—
1014C22⋊Q8—84no—
1015C22⋊Q8—84no—
1016C22⋊Q8C2×D418yes—
1017#121—28no—
1018#121—24no—
1019#121—28no—
1020#121—216no—
1021#121—24no—
1022#121—24no—
1023#121—28no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—216no—
1030#121—48no—
1031#121—48no—
1032#121—48no—
1033#121—48no—
1034#121—44no—
1035#121—44no—
1036#121—44no—
1037#121—82no—
1038#121—82no—
1039#121C2×D418yes—
1040#120—216no—
1041#120—216no—
1042#120—48no—
1043#120—84no—
1044C4×Q8—24no—
1045C4×Q8—28no—
1046C4×Q8—24no—
1047C4×Q8—24no—
1048C4×Q8—28no—
1049C4×Q8—28no—
1050C4×Q8—24no—
1051C4×Q8—24no—
1052C4×Q8—24no—
1053C4×Q8—24no—
1054C4×Q8—24no—
1055C4×Q8—24no—
1056C4×Q8—28no—
1057C4×Q8—28no—
1058C4×Q8—44no—
1059C4×Q8C2×D418yes—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4—28no—
1063C4×D4—24no—
1064C4×D4—28no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—216no—
1071C4×D4—216no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—24no—
1075C4×D4—24no—
1076C4×D4—24no—
1077C4×D4—24no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—44no—
1083C4×D4—44no—
1084C4×D4—48no—
1085C4×D4—84no—
1086C4×D4—84no—
1087C4×D4C2×D418yes—
1088C4×D4C2×D4116yes—
1089#117—24no—
1090#117—24no—
1091#117—28no—
1092#117—28no—
1093#117—28no—
1094#117—24no—
1095#117—216no—
1096#117—28no—
1097#117—24no—
1098#117—24no—
1099#117—28no—
1100#117—28no—
1101#117—44no—
1102#117C2×D4116yes—
1103C2×C4⋊C4—24no—
1104C2×C4⋊C4—28no—
1105C2×C4⋊C4—44no—
1106C2×C4⋊C4—44no—
1107C2×C4⋊C4—44no—
1108C2×C4⋊C4—82no—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2411yescharacteristic
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2411yescharacteristic
1182C2×C22⋊C4—216no—
1183C2×C22⋊C4—216no—
1184C2×C22⋊C4—216no—
1185C2×C22⋊C4—48no—
1186C2×C22⋊C4—84no—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2411yescharacteristic
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C42—28no—
1258C2×C42—24no—
1259C2×C42—28no—
1260C2×C42—28no—
1261C2×C42—24no—
1262C2×C42C2×D418yes—
1263C2×C42C2412yes—
1264C2×C42C2414yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2411yescharacteristic
1271C2×C42C2412yes—
1272C2×C42C2412yes—
1273C2×C42C2412yes—
1274C2×C42C2411yescharacteristic
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2411yescharacteristic
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2414yes—
1282C2×C42C2414yes—
1283C2×C42C2414yes—
1284C2×C42C2411yescharacteristic
1285C2×C42C2412yes—
1286C2×C42C2411yescharacteristic
1287C2×C42C2411yescharacteristic
1288C2×C42C2411yescharacteristic
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2412yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2412yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331C24—28no—
1332C24—28no—
1333C24—44no—
1334C24—44no—
1335C24—44no—
1336C24—44no—
1337C24—44no—
1338C24C2514yes—
1339C24C2511yescharacteristic
1340C24C2512yes—
1341C24C2511yescharacteristic
1342C24C2511yescharacteristic
1343C24C2512yes—
1344#41—416no—
1345#41—416no—
1346#41—416no—
1347#41—816no—
1348C2×Q8—22no—
1349C2×Q8—24no—
1350C2×Q8—22no—
1351C2×Q8—22no—
1352C2×Q8—22no—
1353C2×Q8—24no—
1354C2×Q8—24no—
1355C2×Q8—24no—
1356C2×Q8—28no—
1357C2×Q8—22no—
1358C2×Q8—24no—
1359C2×Q8—22no—
1360C2×Q8—22no—
1361C2×Q8—24no—
1362C2×Q8—22no—
1363C2×Q8—22no—
1364C2×Q8—22no—
1365C2×Q8—22no—
1366C2×Q8—22no—
1367C2×Q8—22no—
1368C2×Q8—24no—
1369C2×Q8—42no—
1370C2×Q8—41no—
1371C2×Q8—44no—
1372C2×Q8—42no—
1373C2×Q8—42no—
1374C2×Q8—44no—
1375C2×Q8—42no—
1376C2×Q8—42no—
1377C2×Q8—416no—
1378C2×Q8—816no—
1379C2×Q8C22×D414yes—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—24no—
1389C2×D4—28no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—28no—
1393C2×D4—28no—
1394C2×D4—28no—
1395C2×D4—24no—
1396C2×D4—22no—
1397C2×D4—28no—
1398C2×D4—22no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—22no—
1405C2×D4—24no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—432no—
1411C2×D4—42no—
1412C2×D4—44no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—44no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—42no—
1428C2×D4—44no—
1429C2×D4—42no—
1430C2×D4—42no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—816no—
1436C2×D4C22×D414yes—
1437C2×D4C22×D418yes—
1438C2×D42−1+414yes—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—24no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—22no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—24no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—24no—
1467C22×C4—22no—
1468C22×C4—24no—
1469C22×C4—22no—
1470C22×C4—28no—
1471C22×C4—28no—
1472C22×C4—28no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—44no—
1480C22×C4—42no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—41no—
1484C22×C4—41no—
1485C22×C4—42no—
1486C22×C4—41no—
1487C22×C4—41no—
1488C22×C4—42no—
1489C22×C4—44no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—44no—
1500C22×C4C22×D418yes—
1501C22×C4C22×D414yes—
1502C22×C4C22×D414yes—
1503C22×C4C22×D414yes—
1504C22×C4H(5,𝔽2)14yes—
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2514yes—
1510C22×C4C2511yescharacteristic
1511C22×C4C2512yes—
1512C22×C4C2511yescharacteristic
1513C22×C4C2511yescharacteristic
1514C22×C4C2511yescharacteristic
1515C22×C4C2512yes—
1516C22×C4C2514yes—
1517C22×C4C2512yes—
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2514yes—
1521C22×C4C2512yes—
1522C22×C4C2512yes—
1523C22×C4C2511yescharacteristic
1524C22×C4C2512yes—
1525C22×C4C2511yescharacteristic
1526C22×C4C2511yescharacteristic
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C4⋊C4—24no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—22no—
1540C4⋊C4—24no—
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—22no—
1544C4⋊C4—22no—
1545C4⋊C4—22no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—22no—
1549C4⋊C4—24no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—22no—
1553C4⋊C4—28no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—28no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—28no—
1573C4⋊C4—22no—
1574C4⋊C4—22no—
1575C4⋊C4—24no—
1576C4⋊C4—22no—
1577C4⋊C4—24no—
1578C4⋊C4—22no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—42no—
1583C4⋊C4—42no—
1584C4⋊C4—44no—
1585C4⋊C4—42no—
1586C4⋊C4—42no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—44no—
1592C4⋊C4—44no—
1593C4⋊C4—42no—
1594C4⋊C4—42no—
1595C4⋊C4—44no—
1596C4⋊C4—44no—
1597C4⋊C4—42no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—44no—
1601C4⋊C4C22×D414yes—
1602C4⋊C4C22×D418yes—
1603C4⋊C4C22×D418yes—
1604C4⋊C4C22×D414yes—
1605C4⋊C4C22×D418yes—
1606C4⋊C4C22×D418yes—
1607C22⋊C4—28no—
1608C22⋊C4—28no—
1609C22⋊C4—24no—
1610C22⋊C4—22no—
1611C22⋊C4—24no—
1612C22⋊C4—22no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—28no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—28no—
1624C22⋊C4—28no—
1625C22⋊C4—28no—
1626C22⋊C4—28no—
1627C22⋊C4—28no—
1628C22⋊C4—24no—
1629C22⋊C4—22no—
1630C22⋊C4—24no—
1631C22⋊C4—22no—
1632C22⋊C4—22no—
1633C22⋊C4—22no—
1634C22⋊C4—28no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—28no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—28no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—42no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—42no—
1648C22⋊C4—44no—
1649C22⋊C4—42no—
1650C22⋊C4—44no—
1651C22⋊C4—42no—
1652C22⋊C4—44no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—42no—
1658C22⋊C4—42no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—42no—
1669C22⋊C4—42no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4C22×D418yes—
1673C22⋊C4C22×D418yes—
1674C22⋊C4C22×D418yes—
1675C22⋊C4C22×D418yes—
1676C22⋊C4C22×D418yes—
1677C42—22no—
1678C42—24no—
1679C42—22no—
1680C42—22no—
1681C42—24no—
1682C42—24no—
1683C42—22no—
1684C42—24no—
1685C42—22no—
1686C42—24no—
1687C42—24no—
1688C42—24no—
1689C42—22no—
1690C42—24no—
1691C42—24no—
1692C42—28no—
1693C42—24no—
1694C42—24no—
1695C42—44no—
1696C42—44no—
1697C42—44no—
1698C42C22×D414yes—
1699C42C22×D414yes—
1700C42C22×D418yes—
1701C42C22×D414yes—
1702C42C22×D414yes—
1703C23—21no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—21no—
1708C23—21no—
1709C23—21no—
1710C23—22no—
1711C23—22no—
1712C23—21no—
1713C23—22no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—21no—
1721C23—21no—
1722C23—22no—
1723C23—21no—
1724C23—22no—
1725C23—21no—
1726C23—22no—
1727C23—21no—
1728C23—24no—
1729C23—24no—
1730C23—21no—
1731C23—21no—
1732C23—24no—
1733C23—21no—
1734C23—21no—
1735C23—24no—
1736C23—24no—
1737C23—24no—
1738C23—21no—
1739C23—21no—
1740C23—24no—
1741C23—416no—
1742C23—88no—
1743C23—88no—
1744C23—88no—
1745C23—88no—
1746C23—164no—
1747C23—164no—
1748C23C23×D414yes—
1749C23C23×D412yes—
1750C23C2×H(5,𝔽2)12yes—
1751C23C2×2−1+414yes—
1752C23C2611yescharacteristic
1753Q8—28no—
1754Q8—48no—
1755Q8—44no—
1756Q8—44no—
1757Q8—48no—
1758Q8—44no—
1759Q8—44no—
1760Q8—84no—
1761Q8—84no—
1762Q8—88no—
1763D4—28no—
1764D4—28no—
1765D4—48no—
1766D4—416no—
1767D4—44no—
1768D4—44no—
1769D4—48no—
1770D4—44no—
1771D4—48no—
1772D4—48no—
1773D4—48no—
1774D4—48no—
1775D4—84no—
1776D4—84no—
1777D4—84no—
1778D4—88no—
1779D4—88no—
1780D4—88no—
1781D4—164no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—28no—
1799C2×C4—28no—
1800C2×C4—216no—
1801C2×C4—28no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—24no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—24no—
1818C2×C4—24no—
1819C2×C4—24no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—24no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—24no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—21no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—21no—
1850C2×C4—24no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—21no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—21no—
1859C2×C4—44no—
1860C2×C4—48no—
1861C2×C4—48no—
1862C2×C4—48no—
1863C2×C4—48no—
1864C2×C4—44no—
1865C2×C4—44no—
1866C2×C4—44no—
1867C2×C4—82no—
1868C2×C4—82no—
1869C2×C4—84no—
1870C2×C4—88no—
1871C2×C4—84no—
1872C2×C4—88no—
1873C2×C4—88no—
1874C2×C4—84no—
1875C2×C4—164no—
1876C2×C4—164no—
1877C2×C4C23×D414yes—
1878C2×C4C23×D412yes—
1879C2×C4C23×D412yes—
1880C2×C4C23×D412yes—
1881C2×C4C23×D414yes—
1882C2×C4C23×D414yes—
1883C2×C4C23×D412yes—
1884C2×C4C23×D412yes—
1885C2×C4C23×D412yes—
1886C2×C4C2×H(5,𝔽2)12yes—
1887C2×C4C2×H(5,𝔽2)12yes—
1888C2×C4C2×2−1+412yes—
1889C2×C4#58512yes—
1890C2×C4#58512yes—
1891C22—22no—
1892C22—22no—
1893C22—24no—
1894C22—22no—
1895C22—24no—
1896C22—24no—
1897C22—22no—
1898C22—24no—
1899C22—22no—
1900C22—24no—
1901C22—24no—
1902C22—22no—
1903C22—42no—
1904C22—41no—
1905C22—41no—
1906C22—42no—
1907C22—41no—
1908C22—42no—
1909C22—41no—
1910C22—41no—
1911C22—42no—
1912C22—41no—
1913C22—42no—
1914C22—42no—
1915C22—41no—
1916C22—41no—
1917C22—42no—
1918C22—42no—
1919C22—41no—
1920C22—44no—
1921C22—41no—
1922C22—44no—
1923C22—41no—
1924C22—44no—
1925C22—41no—
1926C22—44no—
1927C22—41no—
1928C22—44no—
1929C22—44no—
1930C22—41no—
1931C22—41no—
1932C22—44no—
1933C22—1616no—
1934C22C24×D411yescharacteristic
1935C22C22×H(5,𝔽2)11yescharacteristic
1936C22C22×2−1+411yescharacteristic
1937C22C2×#58511yescharacteristic
1938C22C2×#58511yescharacteristic
1939C22H(7,𝔽2)11yescharacteristic
1940C222−1+611yescharacteristic
1941C4—22no—
1942C4—22no—
1943C4—24no—
1944C4—22no—
1945C4—24no—
1946C4—22no—
1947C4—22no—
1948C4—24no—
1949C4—42no—
1950C4—41no—
1951C4—42no—
1952C4—42no—
1953C4—44no—
1954C4—41no—
1955C4—41no—
1956C4—42no—
1957C4—42no—
1958C4—41no—
1959C4—42no—
1960C4—41no—
1961C4—42no—
1962C4—42no—
1963C4—42no—
1964C4—42no—
1965C4—44no—
1966C4—44no—
1967C4—42no—
1968C4#348814yes—
1969C4#348914yes—
1970C2—42no—
1971C2—42no—
1972C2—44no—
1973C2—44no—
1974C2—81no—
1975C2—84no—
1976C2C2×#348811yescharacteristic
1977C2C2×#348911yescharacteristic
1978C2#6285311yescharacteristic
1979C2#6294211yescharacteristic
1980C2#6295111yescharacteristic
1981C2#6296111yescharacteristic
1982C2#6296811yescharacteristic
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. C2×#3461C2semidirect
3. #51412C2semidirect
4. #50859C2semidirect
5. #46834C2semidirect
6. #46379C2semidirect
7. #45246C2semidirect
8. #45245C2semidirect
9. #45108C2semidirect
10. #45103C2semidirect
11. #39726C2semidirect
12. #39596C2semidirect
13. #38923C2semidirect
14. #38922C2semidirect
15. #38910C2semidirect
16. #38902C2semidirect
17. #38050C2semidirect
18. #38024C2semidirect
19. #37774C2semidirect
20. #37759C2semidirect
21. #37696C2semidirect
22. #37676C2semidirect
23. #37619C2semidirect
24. #37280C2semidirect
25. #37275C2semidirect
26. #36580C2semidirect
27. Q8×#121C2semidirect
28. #36405C2semidirect
29. #36258C2semidirect
30. #35522C2semidirect
31. #35515C2semidirect
32. #35280C2semidirect
33. #35273C2semidirect
34. #34909C2semidirect
35. #34384C2semidirect
42. C2×D4×Q8C22semidirect
49. C2×#544C22semidirect
53. C2×#542C22semidirect
54. C2×#541C22semidirect
55. C2×#541C22semidirect
56. C2×#541C22semidirect
57. C2×#539C22semidirect
58. C2×#539C22semidirect
61. C2×#537C22semidirect
63. C2×#536C22semidirect
64. C2×#533C22semidirect
65. C2×#533C22semidirect
66. C2×#533C22semidirect
71. C2×#529C22semidirect
72. C2×#529C22semidirect
73. C2×#529C22semidirect
78. C2×C4×#41C22semidirect
79. C22×C4×Q8C22semidirect
80. #2857C22semidirect
81. #2857C22semidirect
82. #2857C22semidirect
83. #2857C22semidirect
84. #2857C22semidirect
87. #2855C22semidirect
89. #2850C22semidirect
90. #2816C22semidirect
91. #2727C22semidirect
92. #2722C22semidirect
93. #2721C22semidirect
94. #2720C22semidirect
95. #2716C22semidirect
96. #2715C22semidirect
97. #2715C22semidirect
98. #2712C22semidirect
99. #2710C22semidirect
100. #2708C22semidirect
101. #2707C22semidirect
102. #2707C22semidirect
103. #2705C22semidirect
104. #2704C22semidirect
105. #2702C22semidirect
106. #2700C22semidirect
107. #2696C22semidirect
108. #2695C22semidirect
109. #2695C22semidirect
110. #2694C22semidirect
111. #2692C22semidirect
112. #2691C22semidirect
113. #2690C22semidirect
114. #2687C22semidirect
116. #2684C22semidirect
117. #2681C22semidirect
118. #2681C22semidirect
119. #2680C22semidirect
121. #2677C22semidirect
122. #2676C22semidirect
123. #2674C22semidirect
124. #2674C22semidirect
125. #2672C22semidirect
126. #2672C22semidirect
127. #2672C22semidirect
128. #2671C22semidirect
129. #2671C22semidirect
130. #2668C22semidirect
131. #2658C22semidirect
132. #2640C22semidirect
133. #2633C22semidirect
134. #2629C22semidirect
135. #2628C22semidirect
136. #2625C22semidirect
138. #2624C22semidirect
139. #2624C22semidirect
140. #2620C22semidirect
141. #2620C22semidirect
142. #2620C22semidirect
143. #2600C22semidirect
144. #2600C22semidirect
145. #2599C22semidirect
146. #2598C22semidirect
147. #2592C22semidirect
148. #2592C22semidirect
149. #2582C22semidirect
150. #2582C22semidirect
151. #2582C22semidirect
152. #2581C22semidirect
155. #2580C22semidirect
156. #2580C22semidirect
157. #2580C22semidirect
158. #2567C22semidirect
159. #2559C22semidirect
163. #2546C22semidirect
164. #2546C22semidirect
165. #2546C22semidirect
166. #2545C22semidirect
167. #2542C22semidirect
173. #2538C22semidirect
174. #2538C22semidirect
175. #2538C22semidirect
176. #2537C22semidirect
177. #2537C22semidirect
178. #2537C22semidirect
179. #2536C22semidirect
181. #2534C22semidirect
182. #2521C22semidirect
183. #2492C22semidirect
184. #2491C22semidirect
186. #2485C22semidirect
187. #2485C22semidirect
188. #2485C22semidirect
189. #2485C22semidirect
190. #2480C22semidirect
191. #2480C22semidirect
192. #2479C22semidirect
193. #2478C22semidirect
194. #2475C22semidirect
195. #2472C22semidirect
196. #2468C22semidirect
197. #2467C22semidirect
198. #2464C22semidirect
199. #2463C22semidirect
200. #2460C22semidirect
201. #2458C22semidirect
202. #2456C22semidirect
203. #2454C22semidirect
204. #2454C22semidirect
205. #2453C22semidirect
206. #2452C22semidirect
207. #2452C22semidirect
208. #2452C22semidirect
209. #2448C22semidirect
211. #2443C22semidirect
212. #2441C22semidirect
213. #2437C22semidirect
214. #2437C22semidirect
215. #2437C22semidirect
216. #2437C22semidirect
217. #2437C22semidirect
218. #2436C22semidirect
220. #2434C22semidirect
222. #2432C22semidirect
223. #2432C22semidirect
224. #2429C22semidirect
225. #2429C22semidirect
226. #2429C22semidirect
228. #2427C22semidirect
229. #2427C22semidirect
231. #2426C22semidirect
233. #2424C22semidirect
234. #2424C22semidirect
235. #2418C22semidirect
236. #2418C22semidirect
237. #2417C22semidirect
238. #2417C22semidirect
239. #2417C22semidirect
240. #2417C22semidirect
241. #2417C22semidirect
242. #2417C22semidirect
244. #2416C22semidirect
245. #2416C22semidirect
246. #2416C22semidirect
247. #2416C22semidirect
248. #2415C22semidirect
249. #2415C22semidirect
252. #2412C22semidirect
254. #2409C22semidirect
260. #2395C22semidirect
261. #2388C22semidirect
262. #2383C22semidirect
263. #2367C22semidirect
264. #2365C22semidirect
265. #2362C22semidirect
267. #2361C22semidirect
268. #2360C22semidirect
269. #2355C22semidirect
271. #2352C22semidirect
272. Q8×C4⋊C4C22semidirect
274. D4×C4⋊C4C22semidirect
275. Q8×C22⋊C4C22semidirect
277. #2330C22semidirect
280. #2324C22semidirect
281. #2322C22semidirect
282. #2317C22semidirect
283. #2316C22semidirect
284. #2316C22semidirect
285. #2314C22semidirect
287. #2311C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×C22⋊Q8C22semidirect
294. C4×#121C22semidirect
295. #2296C22semidirect
297. #2290C22semidirect
298. #2290C22semidirect
299. C2×#384C22semidirect
300. #2283C22semidirect
356. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34612
#514122
#508592
#468342
#463792
#452462
#452452
#451082
#451032
#397262
#395962
#389232
#389222
#389102
#389022
#380502
#380242
#377742
#377592
#376962
#376762
#376192
#372802
#372752
#365802
Q8×#1212
#364052
#362582
#355222
#355152
#352802
#352732
#349092
#343842