Finite Group Databasebeta

← #7632943

Subgroups — #7632943

Order 512.

7810 conjugacy classes of subgroups.

The subgroup lattice has 1958 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3521C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#36472C212yesmaximal, complemented
4#36470C212yesmaximal, complemented
5#36267C214yesmaximal, complemented
6#36264C214yesmaximal, complemented
7#36258C212yesmaximal, complemented
8#36218C212yesmaximal, complemented
9#35956C211yesmaximal, characteristic, complemented
10#35953C212yesmaximal, complemented
11#35950C211yesmaximal, characteristic, complemented
12#35926C211yesmaximal, characteristic, complemented
13#35922C212yesmaximal, complemented
14#35921C211yesmaximal, characteristic, complemented
15#35909C211yesmaximal, characteristic, complemented
16#35906C212yesmaximal, complemented
17#35903C211yesmaximal, characteristic, complemented
18#35853C211yesmaximal, characteristic, complemented
19#35850C212yesmaximal, complemented
20#35847C211yesmaximal, characteristic, complemented
21#35638C212yesmaximal, complemented
22#35572C212yesmaximal, complemented
23#35393C214yesmaximal, complemented
24#35392C214yesmaximal, complemented
25#35303C211yesmaximal, characteristic, complemented
26#35191C211yesmaximal, characteristic, complemented
27#35145C212yesmaximal, complemented
28#35119C212yesmaximal, complemented
29#34965C212yesmaximal, complemented
30#34911C211yesmaximal, characteristic, complemented
31#34876C211yesmaximal, characteristic, complemented
32C2×#2603C212yesmaximal, complemented
33#34290C212yesmaximal, complemented
34#34288C212yesmaximal, complemented
35#33999C211yesmaximal, characteristic, complemented
36#3521—216no—
37#3481—216no—
38C2×#559C2211yescharacteristic, complemented
39C2×#556C2211yescharacteristic, complemented
40C2×#556C2211yescharacteristic, complemented
41C2×#554C2211yescharacteristic
42C2×#554C2211yescharacteristic
43C2×#554C2211yescharacteristic, complemented
44C2×#553C2212yescomplemented
45C2×#553C2212yescomplemented
46C2×#553C2211yescharacteristic, complemented
47C2×#553C2212yescomplemented
48C2×#552C2211yescharacteristic, complemented
49C2×#552C2212yescomplemented
50C2×#551C2212yescomplemented
51C2×#551C2212yescomplemented
52C2×#551C2214yescomplemented
53C2×#547C2211yescharacteristic
54C2×#546C2211yescharacteristic
55C2×#546C2211yescharacteristic
56C2×#546C2212yes—
57C2×#546C2212yes—
58C2×#546C2212yescomplemented
59C2×D42C2211yescharacteristic
60C2×D42C2212yes—
61C2×#542C2211yescharacteristic, complemented
62C2×#541C2211yescharacteristic, complemented
63C2×#539C2212yescomplemented
64C2×#538C2212yescomplemented
65C2×#532C2211yescharacteristic, complemented
66C2×#529C2212yescomplemented
67C2×#529C2212yescomplemented
68C2×#529C2212yescomplemented
69C2×#529C2211yescharacteristic, complemented
70C2×#529C2211yescharacteristic, complemented
71C22×#126C2212yescomplemented
72C2×#525C2214yescomplemented
73C2×#520C2211yescharacteristic
74C2×#518C2211yescharacteristic
75C2×C4×#41C2212yes—
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic, complemented
78C22×C4×D4C2212yes—
79C22×C4×D4C2212yescomplemented
80#2861C2212yescomplemented
81#2860C2214yescomplemented
82#2860C2214yescomplemented
83#2858C2212yescomplemented
84#2856C2212yescomplemented
85#2854C2214yescomplemented
86#2854C2214yescomplemented
87#2850C2212yescomplemented
88#2664C2212yescomplemented
89#2664C2212yescomplemented
90#2662C2212yescomplemented
91#2662C2212yescomplemented
92#2661C2212yescomplemented
93#2661C2212yescomplemented
94#2660C2211yescharacteristic, complemented
95#2659C2212yescomplemented
96#2657C2211yescharacteristic
97#2656C2212yes—
98#2641C2211yescharacteristic, complemented
99#2640C2211yescharacteristic, complemented
100#2639C2212yescomplemented
101#2639C2212yescomplemented
102#2611C2212yescomplemented
103#2611C2214yescomplemented
104#2611C2212yescomplemented
105#2611C2212yescomplemented
106#2610C2212yescomplemented
107#2610C2214yescomplemented
108#2610C2212yescomplemented
109#2610C2212yescomplemented
110#2610C2214yescomplemented
111#2604C2211yescharacteristic, complemented
112#2604C2212yescomplemented
113#2604C2214yescomplemented
114#2604C2211yescharacteristic, complemented
115#2603C2211yescharacteristic
116#2603C2212yes—
117#2603C2212yescomplemented
118#2603C2212yescomplemented
119#2603C2214yescomplemented
120#2603C2214yescomplemented
121#2603C2212yescomplemented
122#2603C2212yescomplemented
123#2603C2212yescomplemented
124#2603C2212yescomplemented
125#2603C2214yescomplemented
126#2603C2214yescomplemented
127#2603C2212yescomplemented
128#2603C2214yescomplemented
129#2603C2211yescharacteristic, complemented
130#2603C2212yescomplemented
131#2602C2214yescomplemented
132#2601C2214yescomplemented
133#2601C2214yescomplemented
134#2592C2211yescharacteristic, complemented
135#2591C2212yescomplemented
136#2584C2211yescharacteristic, complemented
137#2583C2212yescomplemented
138#2566C2214yescomplemented
139#2564C2212yescomplemented
140#2562C2211yescharacteristic, complemented
141#2561C2212yescomplemented
142#2560C2214yescomplemented
143#2560C2214yescomplemented
144#2559C2214yescomplemented
145#2558C2214yescomplemented
146#2558C2214yescomplemented
147#2557C2214yescomplemented
148#2556C2214yescomplemented
149#2555C2214yescomplemented
150#2554C2214yescomplemented
151#2554C2214yescomplemented
152#2554C2214yescomplemented
153#2553C2214yescomplemented
154#2552C2212yescomplemented
155#2550C2212yescomplemented
156#2549C2214yescomplemented
157#2548C2211yescharacteristic, complemented
158#2548C2212yescomplemented
159#2547C2211yescharacteristic, complemented
160#2546C2211yescharacteristic, complemented
161#2545C2212yescomplemented
162#2544C2214yescomplemented
163#2543C2212yescomplemented
164#2543C2212yescomplemented
165#2543C2214yescomplemented
166#2543C2212yescomplemented
167#2541C2211yescharacteristic
168#2541C2212yes—
169#2540C2212yes—
170#2540C2211yescharacteristic
171#2539C2212yes—
172#2539C2214yes—
173#2538C2212yescomplemented
174#2536C2212yescomplemented
175#2534C2214yescomplemented
176#2519C2214yescomplemented
177#2512C2214yescomplemented
178#2504C2212yescomplemented
179#2502C2212yescomplemented
180#2498C2211yescharacteristic, complemented
181#2498C2211yescharacteristic, complemented
182#2491C2212yescomplemented
183#2490C2212yescomplemented
184#2490C2212yescomplemented
185#2489C2212yescomplemented
186#2488C2214yescomplemented
187#2472C2214yescomplemented
188#2472C2214yescomplemented
189#2472C2214yescomplemented
190#2464C2214yescomplemented
191#2464C2214yescomplemented
192#2461C2214yescomplemented
193#2461C2214yescomplemented
194#2461C2214yescomplemented
195#2452C2214yescomplemented
196#2445C2214yescomplemented
197#2445C2214yescomplemented
198#2440C2214yescomplemented
199#2435C2212yescomplemented
200#2433C2214yes—
201#2433C2212yes—
202#2432C2212yescomplemented
203#2431C2212yescomplemented
204#2430C2211yescharacteristic
205#2430C2211yescharacteristic, complemented
206#2430C2214yescomplemented
207#2429C2212yescomplemented
208#2428C2214yescomplemented
209#2426C2212yescomplemented
210#2426C2212yescomplemented
211#2426C2212yescomplemented
212#2425C2214yescomplemented
213#2424C2214yescomplemented
214#2424C2214yescomplemented
215#2424C2214yescomplemented
216#2422C2214yescomplemented
217#2416C2214yescomplemented
218#2415C2212yescomplemented
219#2414C2212yescomplemented
220#2414C2212yescomplemented
221#2414C2212yescomplemented
222#2413C2214yescomplemented
223#2411C2214yescomplemented
224#2411C2214yescomplemented
225#2411C2214yescomplemented
226#2408C2214yescomplemented
227#2399C2211yescharacteristic, complemented
228#2398C2211yescharacteristic, complemented
229#2398C2211yescharacteristic, complemented
230#2397C2211yescharacteristic
231#2395C2212yescomplemented
232#2392C2212yescomplemented
233#2392C2212yescomplemented
234#2392C2212yescomplemented
235#2392C2212yescomplemented
236C2×#398C2212yescomplemented
237C2×#397C2212yescomplemented
238#2388C2212yescomplemented
239C2×#394C2212yescomplemented
240C2×#392C2212yes—
241#2367C2212yescomplemented
242#2366C2212yescomplemented
243#2364C2214yescomplemented
244#2363C2212yescomplemented
245#2361C2212yescomplemented
246#2361C2212yescomplemented
247#2361C2214yescomplemented
248#2360C2212yescomplemented
249#2359C2214yescomplemented
250#2358C2214yescomplemented
251#2358C2214yescomplemented
252#2358C2214yescomplemented
253#2352C2212yescomplemented
254#2349C2212yes—
255D4×C4⋊C4C2212yes—
256D4×C4⋊C4C2212yescomplemented
257#2342C2214yescomplemented
258#2339C2212yes—
259D4×C22⋊C4C2212yes—
260D4×C22⋊C4C2212yes—
261D4×C22⋊C4C2212yes—
262D4×C22⋊C4C2214yescomplemented
263#2328C2212yescomplemented
264#2326C2212yescomplemented
265#2325C2214yescomplemented
266#2325C2214yescomplemented
267#2324C2212yescomplemented
268#2324C2212yescomplemented
269#2322C2214yescomplemented
270#2321C2214yescomplemented
271C4×#127C2214yescomplemented
272C4×#124C2214yescomplemented
273C4×C22⋊Q8C2212yescomplemented
274C4×#121C2212yescomplemented
275C4×#121C2212yescomplemented
276C4×#121C2212yescomplemented
277C4×#120C2214yescomplemented
278C4×#120C2214yescomplemented
279#2293C2214yescomplemented
280C2×#390C2214yescomplemented
281#2290C2212yescomplemented
282#2290C2212yescomplemented
283C2×#388C2214yescomplemented
284C2×#386C2214yescomplemented
285C2×#385C2214yescomplemented
286#2276C2211yescharacteristic, complemented
287#2276C2212yescomplemented
288#2276C2211yescharacteristic, complemented
289#2275C2211yescharacteristic
290#2275C2211yescharacteristic
291#2275C2212yes—
292#2275C2212yescomplemented
293#2275C2214yescomplemented
294#2275C2212yescomplemented
295C4×#117C2212yescomplemented
296C4×#117C2211yescharacteristic, complemented
297C4×#117C2212yescomplemented
298C4×#117C2214yescomplemented
299C2×#376C2212yescomplemented
300C2×#376C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C23×D4C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2314yes—
309C24×C4C2314yes—
310#559—28no—
311#556—28no—
312#556—28no—
313#554—28no—
314#554—28no—
315#554—28no—
316#553—216no—
317#553—216no—
318#553—216no—
319#553—28no—
320#552—28no—
321#552—216no—
322#551—216no—
323#551—232no—
324#551—216no—
325#547—28no—
326#546—216no—
327#546—28no—
328#546—28no—
329#546—216no—
330#546—216no—
331D42—28no—
332D42—216no—
333#542—28no—
334#541—28no—
335#539—216no—
336#538—216no—
337#532—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×#127C2312yes—
343C2×#127C2311yescharacteristic
344C2×#127C2314yes—
345C2×#127C2312yes—
346#529—216no—
347#529—216no—
348#529—216no—
349#529—28no—
350#529—28no—
351C2×#126—216no—
352C2×#126C2312yes—
353C2×#126C2314yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2311yescharacteristic
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2311yescharacteristic
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2314yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#125C2311yescharacteristic
367C2×#125C2312yes—
368C2×#125C2311yescharacteristic
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2311yescharacteristic
374C2×#124C2312yes—
375C2×#124C2311yescharacteristic
376C2×#124C2311yescharacteristic
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2311yescharacteristic
382C2×#124C2312yes—
383C2×#124C2314yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386#525—232no—
387C2×#123C2314yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×#123C2311yescharacteristic
393C2×#123C2311yescharacteristic
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#120C2314yes—
440C2×#120C2314yes—
441C2×#120C2314yes—
442C2×#120C2312yes—
443C2×#120C2314yes—
444C2×#120C2314yes—
445C2×#120C2312yes—
446#520—28no—
447#518—28no—
448C4×#41—216no—
449C4×#41—28no—
450C4×#41D4116yescomplemented
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2311yescharacteristic
461C2×C4×D4—216no—
462C2×C4×D4—216no—
463C2×C4×D4C2312yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2314yes—
491C2×C4×D4C2314yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2314yes—
496C2×C4×D4C2314yes—
497C2×C4×D4C2314yes—
498C2×C4×D4C2314yes—
499C2×C4×D4C2314yes—
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C2×#117C2312yes—
508C2×#117C2314yes—
509C2×#117C2311yescharacteristic
510C2×#117C2312yes—
511C2×#117C2312yes—
512C2×#117C2312yes—
513C2×#117C2312yes—
514C2×#117C2311yescharacteristic
515C2×#117C2314yes—
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2311yescharacteristic
519C22×C4⋊C4C2312yes—
520C22×C4⋊C4C2312yes—
521C22×C4⋊C4C2311yescharacteristic
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2312yes—
525C22×C4⋊C4C2314yes—
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2312yes—
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2314yes—
530C22×C22⋊C4C2314yes—
531C22×C22⋊C4C2314yes—
532C22×C22⋊C4C2312yes—
533C22×C22⋊C4C2314yes—
534C22×C22⋊C4C2314yes—
535C22×C22⋊C4C2314yes—
536C22×C42C2312yes—
537C22×C42C2314yes—
538C22×C42C2312yes—
539C22×C42C2312yes—
540C22×C42C2311yescharacteristic
541#400C2312yes—
542#400C2312yes—
543#400C2311yescharacteristic
544#400C2311yescharacteristic
545#400C2314yes—
546#399C2312yes—
547#399C2311yescharacteristic
548#399C2312yes—
549#399C2314yes—
550#399C2311yescharacteristic
551#398C2314yes—
552#398C2314yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2311yescharacteristic
557#398C2312yes—
558#398C2314yes—
559#398C2314yes—
560#398C2312yes—
561#398C2314yes—
562#398C2311yescharacteristic
563#398C2312yes—
564#397C2312yes—
565#397C2314yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2314yes—
570#397C2311yescharacteristic
571#397C2312yes—
572#397C2314yes—
573#397C2312yes—
574#397C2314yes—
575#397C2311yescharacteristic
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#395C2312yes—
585#395C2311yescharacteristic
586#395C2312yes—
587#395C2311yescharacteristic
588#395C2314yes—
589#395C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2312yes—
593#394C2312yes—
594#394C2312yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2311yescharacteristic
600#394C2312yes—
601#394C2314yes—
602#394C2314yes—
603#394C2312yes—
604#394C2314yes—
605#394C2311yescharacteristic
606#394C2314yes—
607#394C2312yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#393C2314yes—
613#393C2314yes—
614#393C2311yescharacteristic
615#393C2312yes—
616#393C2312yes—
617#393C2311yescharacteristic
618#392C2314yes—
619#392C2311yescharacteristic
620#392C2312yes—
621#392C2312yes—
622#392C2312yes—
623#392C2314yes—
624#392C2314yes—
625#392C2312yes—
626#392C2314yes—
627#392C2311yescharacteristic
628#392C2312yes—
629#392C2312yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#391C2312yes—
634#391C2314yes—
635#391C2312yes—
636#391C2312yes—
637#391C2312yes—
638#390C2314yes—
639#390C2314yes—
640#390C2312yes—
641#390C2314yes—
642#390C2314yes—
643#390C2314yes—
644#390C2314yes—
645#390C2314yes—
646#390C2314yes—
647#390C2314yes—
648#390C2314yes—
649#390C2312yes—
650#390C2312yes—
651#390C2314yes—
652#390C2314yes—
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2312yes—
657#390C2314yes—
658#390C2314yes—
659#390C2314yes—
660#390C2314yes—
661#390C2314yes—
662#390C2312yes—
663#390C2314yes—
664#390C2314yes—
665#390C2314yes—
666#390C2314yes—
667#390C2312yes—
668#390C2312yes—
669#389C2314yes—
670#389C2314yes—
671#389C2312yes—
672#389C2312yes—
673#389C2314yes—
674#389C2314yes—
675#389C2314yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2314yes—
680#389C2314yes—
681#389C2314yes—
682#389C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2312yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2312yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#387C2312yes—
723#387C2314yes—
724#387C2312yes—
725#387C2312yes—
726#387C2314yes—
727#387C2314yes—
728#387C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
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#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2312yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2312yes—
754#386C2314yes—
755#386C2314yes—
756#386C2312yes—
757#386C2312yes—
758#386C2312yes—
759#386C2312yes—
760#385C2312yes—
761#385C2312yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2312yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2312yes—
779#384C2314yes—
780#384C2312yes—
781#382C2314yes—
782#382C2312yes—
783#381C2314yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2314yes—
791#380C2314yes—
792#379C2314yes—
793#379C2314yes—
794#379C2314yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833#376C2312yes—
834#376C2311yescharacteristic
835#376C2312yes—
836#376C2312yes—
837#376C2311yescharacteristic
838#376C2314yes—
839#376C2314yes—
840#376C2312yes—
841#376C2312yes—
842#376C2311yescharacteristic
843#376C2311yescharacteristic
844C2×#95C2312yes—
845C2×#95C2314yes—
846C2×#95C2314yes—
847C2×#95C2314yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2311yescharacteristic
851C2×#95C2311yescharacteristic
852C43C2314yes—
853C43C2312yes—
854C25C2414yes—
855C25C2412yes—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—28no—
861C2×#41—44no—
862C2×#41—82no—
863C2×#41—82no—
864C2×#41C2×D418yes—
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×D4—28no—
872C22×D4—24no—
873C22×D4—28no—
874C22×D4—28no—
875C22×D4—28no—
876C22×D4—28no—
877C22×D4—216no—
878C22×D4—48no—
879C22×D4—48no—
880C22×D4—84no—
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2414yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2411yescharacteristic
895C22×D4C2411yescharacteristic
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2411yescharacteristic
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2411yescharacteristic
906C23×C4—216no—
907C23×C4—84no—
908C23×C4—84no—
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2414yes—
919C23×C4C2414yes—
920C23×C4C2414yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2414yes—
925C23×C4C2414yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2414yes—
934C4⋊Q8—24no—
935C4⋊Q8—24no—
936C4⋊Q8—24no—
937C4⋊Q8—82no—
938#127—24no—
939#127—28no—
940#127—48no—
941#127—82no—
942#126—216no—
943#126—28no—
944#126—28no—
945#126—28no—
946#126—24no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—28no—
952#126—28no—
953#126—28no—
954#126—24no—
955#126—216no—
956#125—28no—
957#125—28no—
958#125—28no—
959#125—24no—
960#125—28no—
961#125—24no—
962#125—24no—
963#125—28no—
964#124—28no—
965#124—24no—
966#124—28no—
967#124—28no—
968#124—24no—
969#124—28no—
970#124—24no—
971#124—28no—
972#124—28no—
973#124—48no—
974#124—82no—
975#124—82no—
976#123—28no—
977#123—28no—
978#123—216no—
979#123—28no—
980#123—28no—
981#123—24no—
982#123—24no—
983#123—216no—
984#123—216no—
985#123—28no—
986#123—28no—
987#123—216no—
988#123—28no—
989#123—28no—
990#123—216no—
991C22⋊Q8—28no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—28no—
996C22⋊Q8—24no—
997C22⋊Q8—28no—
998C22⋊Q8—216no—
999C22⋊Q8—28no—
1000C22⋊Q8—24no—
1001C22⋊Q8—28no—
1002C22⋊Q8—28no—
1003C22⋊Q8—216no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006#121—216no—
1007#121—28no—
1008#121—28no—
1009#121—24no—
1010#121—28no—
1011#121—24no—
1012#121—28no—
1013#121—28no—
1014#121—28no—
1015#121—216no—
1016#121—216no—
1017#121—28no—
1018#121—24no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—216no—
1023#121—28no—
1024#121—44no—
1025#121—44no—
1026#121—84no—
1027#121—84no—
1028#120—216no—
1029#120—28no—
1030#120—216no—
1031#120—28no—
1032#120—216no—
1033#120—216no—
1034#120—216no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—24no—
1038C4×Q8—24no—
1039C4×Q8—24no—
1040C4×Q8—28no—
1041C4×Q8—24no—
1042C4×Q8—28no—
1043C4×Q8C2×D418yescomplemented
1044C4×Q8C2×D418yescomplemented
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—28no—
1049C4×D4—216no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—24no—
1055C4×D4—24no—
1056C4×D4—28no—
1057C4×D4—216no—
1058C4×D4—28no—
1059C4×D4—24no—
1060C4×D4—216no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—216no—
1064C4×D4—24no—
1065C4×D4—216no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—216no—
1070C4×D4—28no—
1071C4×D4—24no—
1072C4×D4—24no—
1073C4×D4—24no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—48no—
1078C4×D4—84no—
1079C4×D4—84no—
1080C4×D4—84no—
1081C4×D4—84no—
1082C4×D4C2×D418yes—
1083C4×D4C2×D418yes—
1084C4×D4C2×D4116yescomplemented
1085C4×D4C2×D4116yescomplemented
1086C4×D4#41116yescomplemented
1087#117—24no—
1088#117—24no—
1089#117—28no—
1090#117—28no—
1091#117—216no—
1092#117—28no—
1093#117—24no—
1094#117—24no—
1095#117—216no—
1096#117—28no—
1097#117—28no—
1098#117—28no—
1099#117C2×D4116yescomplemented
1100#117C2×D418yescomplemented
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4—28no—
1103C2×C4⋊C4—28no—
1104C2×C4⋊C4—28no—
1105C2×C4⋊C4—28no—
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4—84no—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C22⋊C4—216no—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4—28no—
1168C2×C22⋊C4—28no—
1169C2×C22⋊C4—216no—
1170C2×C22⋊C4—216no—
1171C2×C22⋊C4—28no—
1172C2×C22⋊C4—48no—
1173C2×C22⋊C4—84no—
1174C2×C22⋊C4—84no—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2411yescharacteristic
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2411yescharacteristic
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2411yescharacteristic
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
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×C42—216no—
1252C2×C42—28no—
1253C2×C42—28no—
1254C2×C42C2×D4116yescomplemented
1255C2×C42C2×D418yescomplemented
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2412yes—
1262C2×C42C2414yes—
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265C2×C42C2412yes—
1266C2×C42C2412yes—
1267C2×C42C2414yes—
1268C2×C42C2414yes—
1269C2×C42C2412yes—
1270C2×C42C2414yes—
1271C2×C42C2414yes—
1272C2×C42C2414yes—
1273C2×C42C2412yes—
1274C2×C42C2414yes—
1275C2×C42C2412yes—
1276C2×C42C2414yes—
1277C2×C42C2411yescharacteristic
1278C2×C42C2411yescharacteristic
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2411yescharacteristic
1283C2×C42C2411yescharacteristic
1284C2×C42C2412yes—
1285#95C2412yes—
1286#95C2411yescharacteristic
1287#95C2411yescharacteristic
1288#95C2412yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2411yescharacteristic
1299#95C2414yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2411yescharacteristic
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2412yes—
1326#95C2414yes—
1327#95C2412yes—
1328C24—28no—
1329C24—28no—
1330C24—28no—
1331C24—28no—
1332C24—24no—
1333C24—28no—
1334C24—44no—
1335C24—44no—
1336C24—44no—
1337C24—42no—
1338C24—44no—
1339C24—42no—
1340C24C2511yescharacteristic
1341C24C2512yes—
1342C24C2514yes—
1343C24C2511yescharacteristic
1344C24C2511yescharacteristic
1345C24C2512yes—
1346C24C2512yes—
1347#41—232no—
1348#41—416no—
1349#41—416no—
1350#41—816no—
1351C2×Q8—22no—
1352C2×Q8—22no—
1353C2×Q8—22no—
1354C2×Q8—24no—
1355C2×Q8—24no—
1356C2×Q8—24no—
1357C2×Q8—24no—
1358C2×Q8—42no—
1359C2×Q8—44no—
1360C2×Q8—41no—
1361C2×Q8—42no—
1362C2×Q8—41no—
1363C2×Q8—42no—
1364C2×Q8C22×D414yes—
1365C2×D4—28no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—28no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—28no—
1372C2×D4—28no—
1373C2×D4—28no—
1374C2×D4—28no—
1375C2×D4—28no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—28no—
1380C2×D4—22no—
1381C2×D4—24no—
1382C2×D4—22no—
1383C2×D4—28no—
1384C2×D4—22no—
1385C2×D4—28no—
1386C2×D4—22no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—22no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—28no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—28no—
1399C2×D4—28no—
1400C2×D4—28no—
1401C2×D4—28no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—41no—
1418C2×D4—42no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—41no—
1423C2×D4—44no—
1424C2×D4—42no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—432no—
1428C2×D4—432no—
1429C2×D4—416no—
1430C2×D4—832no—
1431C2×D4C22×D418yes—
1432C2×D4C22×D414yes—
1433C2×D4C2×#4118yes—
1434C22×C4—28no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—28no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—28no—
1442C22×C4—28no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—28no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—28no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—28no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—44no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—41no—
1472C22×C4—41no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—42no—
1477C22×C4—44no—
1478C22×C4—42no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—832no—
1494C22×C4C22×D418yes—
1495C22×C4C22×D414yes—
1496C22×C4C22×D418yes—
1497C22×C4C22×D418yes—
1498C22×C4C22×D414yes—
1499C22×C4C22×D414yes—
1500C22×C4C2×#41116yes—
1501C22×C4C2512yes—
1502C22×C4C2514yes—
1503C22×C4C2512yes—
1504C22×C4C2511yescharacteristic
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2511yescharacteristic
1512C22×C4C2511yescharacteristic
1513C22×C4C2514yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2512yes—
1517C22×C4C2511yescharacteristic
1518C22×C4C2511yescharacteristic
1519C22×C4C2511yescharacteristic
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2514yes—
1527C22×C4C2512yes—
1528C22×C4C2511yescharacteristic
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—22no—
1533C4⋊C4—22no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—28no—
1539C4⋊C4—28no—
1540C4⋊C4—22no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—22no—
1549C4⋊C4—22no—
1550C4⋊C4—22no—
1551C4⋊C4—22no—
1552C4⋊C4—22no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—28no—
1556C4⋊C4—28no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—22no—
1561C4⋊C4—24no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—24no—
1565C4⋊C4—28no—
1566C4⋊C4—28no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—28no—
1571C4⋊C4—42no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—44no—
1576C4⋊C4—42no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4—42no—
1580C4⋊C4—42no—
1581C4⋊C4C22×D414yes—
1582C4⋊C4C22×D414yes—
1583C4⋊C4C22×D418yes—
1584C4⋊C4C22×D418yes—
1585C4⋊C4C2×#4118yes—
1586C22⋊C4—28no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—22no—
1591C22⋊C4—24no—
1592C22⋊C4—22no—
1593C22⋊C4—28no—
1594C22⋊C4—24no—
1595C22⋊C4—28no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—22no—
1599C22⋊C4—22no—
1600C22⋊C4—24no—
1601C22⋊C4—22no—
1602C22⋊C4—22no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—28no—
1606C22⋊C4—28no—
1607C22⋊C4—28no—
1608C22⋊C4—28no—
1609C22⋊C4—28no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—22no—
1617C22⋊C4—24no—
1618C22⋊C4—22no—
1619C22⋊C4—22no—
1620C22⋊C4—28no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—28no—
1624C22⋊C4—24no—
1625C22⋊C4—22no—
1626C22⋊C4—24no—
1627C22⋊C4—28no—
1628C22⋊C4—28no—
1629C22⋊C4—28no—
1630C22⋊C4—28no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—28no—
1635C22⋊C4—28no—
1636C22⋊C4—28no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—42no—
1640C22⋊C4—42no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4C22×D418yes—
1659C22⋊C4C22×D418yes—
1660C22⋊C4C22×D418yes—
1661C22⋊C4C2×#41116yes—
1662C42—24no—
1663C42—24no—
1664C42—24no—
1665C42—24no—
1666C42—24no—
1667C42—24no—
1668C42—22no—
1669C42—22no—
1670C42—24no—
1671C42—28no—
1672C42—24no—
1673C42—28no—
1674C42—28no—
1675C42—24no—
1676C42—44no—
1677C42—44no—
1678C42—44no—
1679C42—44no—
1680C42—42no—
1681C42—44no—
1682C42—42no—
1683C42C22×D414yes—
1684C42C22×D414yes—
1685C42C22×D414yes—
1686C42C22×D418yes—
1687C42C22×D418yes—
1688C42C22×D418yes—
1689C42C22×D414yes—
1690C42C2×#4118yes—
1691C23—24no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—21no—
1703C23—21no—
1704C23—21no—
1705C23—22no—
1706C23—21no—
1707C23—24no—
1708C23—24no—
1709C23—22no—
1710C23—22no—
1711C23—24no—
1712C23—24no—
1713C23—24no—
1714C23—24no—
1715C23—24no—
1716C23—22no—
1717C23—22no—
1718C23—21no—
1719C23—21no—
1720C23—22no—
1721C23—24no—
1722C23—21no—
1723C23—22no—
1724C23—24no—
1725C23—21no—
1726C23—416no—
1727C23—416no—
1728C23—416no—
1729C23—416no—
1730C23—48no—
1731C23—88no—
1732C23—88no—
1733C23—88no—
1734C23—88no—
1735C23—88no—
1736C23—84no—
1737C23—84no—
1738C23C23×D412yes—
1739C23C23×D414yes—
1740C23C22×#4118yes—
1741C23#58514yes—
1742C23C2611yescharacteristic
1743Q8—28no—
1744Q8—44no—
1745Q8—44no—
1746Q8—84no—
1747Q8—82no—
1748Q8—84no—
1749D4—28no—
1750D4—216no—
1751D4—48no—
1752D4—416no—
1753D4—416no—
1754D4—48no—
1755D4—48no—
1756D4—48no—
1757D4—416no—
1758D4—48no—
1759D4—48no—
1760D4—44no—
1761D4—48no—
1762D4—88no—
1763D4—88no—
1764D4—84no—
1765D4—82no—
1766D4—88no—
1767D4—88no—
1768D4—84no—
1769D4—82no—
1770D4—82no—
1771D4—84no—
1772D4—88no—
1773D4#532116yes—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—24no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—216no—
1792C2×C4—28no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—24no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—24no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—24no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—24no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—24no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—24no—
1834C2×C4—21no—
1835C2×C4—48no—
1836C2×C4—48no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—416no—
1840C2×C4—48no—
1841C2×C4—48no—
1842C2×C4—416no—
1843C2×C4—48no—
1844C2×C4—48no—
1845C2×C4—44no—
1846C2×C4—44no—
1847C2×C4—84no—
1848C2×C4—84no—
1849C2×C4—84no—
1850C2×C4—84no—
1851C2×C4—84no—
1852C2×C4—88no—
1853C2×C4—88no—
1854C2×C4—88no—
1855C2×C4—84no—
1856C2×C4—84no—
1857C2×C4—88no—
1858C2×C4C23×D412yes—
1859C2×C4C23×D412yes—
1860C2×C4C23×D414yes—
1861C2×C4C23×D412yes—
1862C2×C4C23×D412yes—
1863C2×C4C23×D414yes—
1864C2×C4C23×D414yes—
1865C2×C4C23×D412yes—
1866C2×C4C23×D412yes—
1867C2×C4C22×#4114yes—
1868C2×C4C22×#4118yes—
1869C2×C4C22×#4114yes—
1870C2×C4C22×#4114yes—
1871C22—28no—
1872C22—28no—
1873C22—24no—
1874C22—24no—
1875C22—24no—
1876C22—24no—
1877C22—24no—
1878C22—22no—
1879C22—22no—
1880C22—22no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—44no—
1889C22—42no—
1890C22—44no—
1891C22—44no—
1892C22—42no—
1893C22—44no—
1894C22—44no—
1895C22—44no—
1896C22—42no—
1897C22—42no—
1898C22—44no—
1899C22—41no—
1900C22—41no—
1901C22—44no—
1902C22—41no—
1903C22—42no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—44no—
1908C22—42no—
1909C22—832no—
1910C22—168no—
1911C22C2×#53218yes—
1912C22C24×D411yescharacteristic
1913C22C23×#4112yes—
1914C22C2×#58512yes—
1915C22H(7,𝔽2)11yescharacteristic
1916C22H(7,𝔽2)11yescharacteristic
1917C4—24no—
1918C4—28no—
1919C4—24no—
1920C4—22no—
1921C4—22no—
1922C4—24no—
1923C4—22no—
1924C4—24no—
1925C4—22no—
1926C4—22no—
1927C4—24no—
1928C4—42no—
1929C4—44no—
1930C4—42no—
1931C4—42no—
1932C4—41no—
1933C4—42no—
1934C4—41no—
1935C4—42no—
1936C4—44no—
1937C4—42no—
1938C4—41no—
1939C4—41no—
1940C4—41no—
1941C4—42no—
1942C4—41no—
1943C4—42no—
1944C4C2×#53214yes—
1945C2—28no—
1946C2—42no—
1947C2—44no—
1948C2—81no—
1949C2—84no—
1950C2—82no—
1951C2—81no—
1952C2C22×#53211yescharacteristic
1953C2#6281111yescharacteristic
1954C2#6285211yescharacteristic
1955C2#6299012yes—
1956C2#6300812yes—
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×#3521C2semidirect
2. C2×#3481C2semidirect
3. #36472C2semidirect
4. #36470C2semidirect
5. #36267C2semidirect
6. #36264C2semidirect
7. #36258C2semidirect
8. #36218C2semidirect
9. #35956C2semidirect
10. #35953C2semidirect
11. #35950C2semidirect
12. #35926C2semidirect
13. #35922C2semidirect
14. #35921C2semidirect
15. #35909C2semidirect
16. #35906C2semidirect
17. #35903C2semidirect
18. #35853C2semidirect
19. #35850C2semidirect
20. #35847C2semidirect
21. #35638C2semidirect
22. #35572C2semidirect
23. #35393C2semidirect
24. #35392C2semidirect
25. #35303C2semidirect
26. #35191C2semidirect
27. #35145C2semidirect
28. #35119C2semidirect
29. #34965C2semidirect
30. #34911C2semidirect
31. #34876C2semidirect
32. C2×#2603C2semidirect
33. #34290C2semidirect
34. #34288C2semidirect
35. #33999C2semidirect
38. C2×#559C22semidirect
39. C2×#556C22semidirect
40. C2×#556C22semidirect
43. C2×#554C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
46. C2×#553C22semidirect
47. C2×#553C22semidirect
48. C2×#552C22semidirect
49. C2×#552C22semidirect
50. C2×#551C22semidirect
51. C2×#551C22semidirect
52. C2×#551C22semidirect
58. C2×#546C22semidirect
61. C2×#542C22semidirect
62. C2×#541C22semidirect
63. C2×#539C22semidirect
64. C2×#538C22semidirect
65. C2×#532C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
68. C2×#529C22semidirect
69. C2×#529C22semidirect
70. C2×#529C22semidirect
71. C22×#126C22semidirect
72. C2×#525C22semidirect
77. C2×C4×#41C22semidirect
79. C22×C4×D4C22semidirect
80. #2861C22semidirect
81. #2860C22semidirect
82. #2860C22semidirect
83. #2858C22semidirect
84. #2856C22semidirect
85. #2854C22semidirect
86. #2854C22semidirect
87. #2850C22semidirect
88. #2664C22semidirect
89. #2664C22semidirect
90. #2662C22semidirect
91. #2662C22semidirect
92. #2661C22semidirect
93. #2661C22semidirect
94. #2660C22semidirect
95. #2659C22semidirect
98. #2641C22semidirect
99. #2640C22semidirect
100. #2639C22semidirect
101. #2639C22semidirect
102. #2611C22semidirect
103. #2611C22semidirect
104. #2611C22semidirect
105. #2611C22semidirect
106. #2610C22semidirect
107. #2610C22semidirect
108. #2610C22semidirect
109. #2610C22semidirect
110. #2610C22semidirect
111. #2604C22semidirect
112. #2604C22semidirect
113. #2604C22semidirect
114. #2604C22semidirect
117. #2603C22semidirect
118. #2603C22semidirect
119. #2603C22semidirect
120. #2603C22semidirect
121. #2603C22semidirect
122. #2603C22semidirect
123. #2603C22semidirect
124. #2603C22semidirect
125. #2603C22semidirect
126. #2603C22semidirect
127. #2603C22semidirect
128. #2603C22semidirect
129. #2603C22semidirect
130. #2603C22semidirect
131. #2602C22semidirect
132. #2601C22semidirect
133. #2601C22semidirect
134. #2592C22semidirect
135. #2591C22semidirect
136. #2584C22semidirect
137. #2583C22semidirect
138. #2566C22semidirect
139. #2564C22semidirect
140. #2562C22semidirect
141. #2561C22semidirect
142. #2560C22semidirect
143. #2560C22semidirect
144. #2559C22semidirect
145. #2558C22semidirect
146. #2558C22semidirect
147. #2557C22semidirect
148. #2556C22semidirect
149. #2555C22semidirect
150. #2554C22semidirect
151. #2554C22semidirect
152. #2554C22semidirect
153. #2553C22semidirect
154. #2552C22semidirect
155. #2550C22semidirect
156. #2549C22semidirect
157. #2548C22semidirect
158. #2548C22semidirect
159. #2547C22semidirect
160. #2546C22semidirect
161. #2545C22semidirect
162. #2544C22semidirect
163. #2543C22semidirect
164. #2543C22semidirect
165. #2543C22semidirect
166. #2543C22semidirect
173. #2538C22semidirect
174. #2536C22semidirect
175. #2534C22semidirect
176. #2519C22semidirect
177. #2512C22semidirect
178. #2504C22semidirect
179. #2502C22semidirect
180. #2498C22semidirect
181. #2498C22semidirect
182. #2491C22semidirect
183. #2490C22semidirect
184. #2490C22semidirect
185. #2489C22semidirect
186. #2488C22semidirect
187. #2472C22semidirect
188. #2472C22semidirect
189. #2472C22semidirect
190. #2464C22semidirect
191. #2464C22semidirect
192. #2461C22semidirect
193. #2461C22semidirect
194. #2461C22semidirect
195. #2452C22semidirect
196. #2445C22semidirect
197. #2445C22semidirect
198. #2440C22semidirect
199. #2435C22semidirect
202. #2432C22semidirect
203. #2431C22semidirect
205. #2430C22semidirect
206. #2430C22semidirect
207. #2429C22semidirect
208. #2428C22semidirect
209. #2426C22semidirect
210. #2426C22semidirect
211. #2426C22semidirect
212. #2425C22semidirect
213. #2424C22semidirect
214. #2424C22semidirect
215. #2424C22semidirect
216. #2422C22semidirect
217. #2416C22semidirect
218. #2415C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
222. #2413C22semidirect
223. #2411C22semidirect
224. #2411C22semidirect
225. #2411C22semidirect
226. #2408C22semidirect
227. #2399C22semidirect
228. #2398C22semidirect
229. #2398C22semidirect
231. #2395C22semidirect
232. #2392C22semidirect
233. #2392C22semidirect
234. #2392C22semidirect
235. #2392C22semidirect
236. C2×#398C22semidirect
237. C2×#397C22semidirect
238. #2388C22semidirect
239. C2×#394C22semidirect
241. #2367C22semidirect
242. #2366C22semidirect
243. #2364C22semidirect
244. #2363C22semidirect
245. #2361C22semidirect
246. #2361C22semidirect
247. #2361C22semidirect
248. #2360C22semidirect
249. #2359C22semidirect
250. #2358C22semidirect
251. #2358C22semidirect
252. #2358C22semidirect
253. #2352C22semidirect
256. D4×C4⋊C4C22semidirect
257. #2342C22semidirect
262. D4×C22⋊C4C22semidirect
263. #2328C22semidirect
264. #2326C22semidirect
265. #2325C22semidirect
266. #2325C22semidirect
267. #2324C22semidirect
268. #2324C22semidirect
269. #2322C22semidirect
270. #2321C22semidirect
271. C4×#127C22semidirect
272. C4×#124C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×#121C22semidirect
275. C4×#121C22semidirect
276. C4×#121C22semidirect
277. C4×#120C22semidirect
278. C4×#120C22semidirect
279. #2293C22semidirect
280. C2×#390C22semidirect
281. #2290C22semidirect
282. #2290C22semidirect
283. C2×#388C22semidirect
284. C2×#386C22semidirect
285. C2×#385C22semidirect
286. #2276C22semidirect
287. #2276C22semidirect
288. #2276C22semidirect
292. #2275C22semidirect
293. #2275C22semidirect
294. #2275C22semidirect
295. C4×#117C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect
299. C2×#376C22semidirect
300. C2×#376C22semidirect
450. C4×#41D4semidirect
1043. C4×Q8C2×D4semidirect
1044. C4×Q8C2×D4semidirect
1084. C4×D4C2×D4semidirect
1085. C4×D4C2×D4semidirect
1086. C4×D4#41semidirect
1099. #117C2×D4semidirect
1100. #117C2×D4semidirect
1254. C2×C42C2×D4semidirect
1255. C2×C42C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35212
C2×#34812
#364722
#364702
#362672
#362642
#362582
#362182
#359562
#359532
#359502
#359262
#359222
#359212
#359092
#359062
#359032
#358532
#358502
#358472
#356382
#355722
#353932
#353922
#353032
#351912
#351452
#351192
#349652
#349112
#348762
C2×#26032
#342902
#342882
#339992