Finite Group Databasebeta

← #7806303

Subgroups — #7806303

Order 512.

7768 conjugacy classes of subgroups.

The subgroup lattice has 1982 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C211yesmaximal, characteristic, complemented
2C2×#3519C211yesmaximal, characteristic, complemented
3#59823C211yesmaximal, characteristic, complemented
4#59815C211yesmaximal, characteristic, complemented
5#59659C211yesmaximal, characteristic, complemented
6#59655C211yesmaximal, characteristic, complemented
7#59652C211yesmaximal, characteristic, complemented
8#59420C211yesmaximal, characteristic, complemented
9#59412C211yesmaximal, characteristic, complemented
10#59411C211yesmaximal, characteristic, complemented
11#59110C212yesmaximal, complemented
12#59095C212yesmaximal, complemented
13#59062C212yesmaximal, complemented
14#59030C212yesmaximal, complemented
15#59023C212yesmaximal, complemented
16#59015C212yesmaximal, complemented
17#59002C212yesmaximal, complemented
18#58996C212yesmaximal, complemented
19#47679C214yesmaximal, complemented
20#47675C214yesmaximal, complemented
21#42444C212yesmaximal, complemented
22#42443C212yesmaximal, complemented
23#42440C212yesmaximal, complemented
24#42439C212yesmaximal, complemented
25#41982C214yesmaximal, complemented
26#37620C211yesmaximal, characteristic, complemented
27#35821C212yesmaximal, complemented
28#35821C214yesmaximal, complemented
29#35808C212yesmaximal, complemented
30#35776C212yesmaximal, complemented
31#35763C212yesmaximal, complemented
32#34972C211yesmaximal, characteristic, complemented
33#34965C211yesmaximal, characteristic, complemented
34C2×#2538C211yesmaximal, characteristic, complemented
35#34207C211yesmaximal, characteristic, complemented
36#3522—216no—
37#3519—216no—
38C2×#559C2211yescharacteristic, complemented
39C2×#559C2212yescomplemented
40C2×Q82C2211yescharacteristic, complemented
41C2×#555C2211yescharacteristic
42C2×#554C2211yescharacteristic
43C2×#554C2211yescharacteristic, complemented
44C2×#554C2212yescomplemented
45C2×#553C2212yes—
46C2×#553C2212yes—
47C2×#550C2211yescharacteristic
48C2×#550C2211yescharacteristic, complemented
49C2×#548C2212yescomplemented
50C2×#547C2212yescomplemented
51C2×#547C2214yescomplemented
52C2×#547C2212yescomplemented
53C2×#546C2212yes—
54C2×#546C2214yes—
55C2×#546C2212yescomplemented
56C2×#546C2214yescomplemented
57C2×D42C2211yescharacteristic
58C2×D42C2212yes—
59C2×#542C2214yescomplemented
60C2×#542C2212yescomplemented
61C2×#540C2212yes—
62C2×#538C2214yes—
63C2×#532C2211yescharacteristic
64C2×#532C2212yescomplemented
65C2×#529C2211yescharacteristic
66C2×#529C2211yescharacteristic, complemented
67C2×#529C2212yescomplemented
68C2×#525C2212yes—
69C22×C22⋊Q8C2212yescomplemented
70C22×#121C2212yes—
71C2×#520C2212yescomplemented
72C2×#520C2212yescomplemented
73C2×#518C2212yes—
74C22×C4×Q8C2211yescharacteristic, complemented
75C22×C4×D4C2211yescharacteristic
76#2823C2214yescomplemented
77#2814C2214yescomplemented
78#2813C2214yescomplemented
79#2732C2214yescomplemented
80#2731C2214yescomplemented
81#2730C2214yescomplemented
82#2729C2214yescomplemented
83#2722C2214yescomplemented
84#2718C2214yescomplemented
85#2715C2214yescomplemented
86#2710C2214yescomplemented
87#2701C2214yescomplemented
88#2697C2214yescomplemented
89#2693C2214yescomplemented
90#2691C2214yescomplemented
91#2687C2214yescomplemented
92#2685C2214yescomplemented
93#2682C2214yescomplemented
94#2681C2214yescomplemented
95#2680C2214yescomplemented
96#2678C2214yescomplemented
97#2676C2214yescomplemented
98#2676C2214yescomplemented
99#2672C2214yescomplemented
100#2672C2214yescomplemented
101#2671C2214yescomplemented
102#2670C2214yescomplemented
103#2630C2214yescomplemented
104#2630C2214yescomplemented
105#2629C2212yescomplemented
106#2629C2212yescomplemented
107#2626C2214yescomplemented
108#2620C2214yescomplemented
109#2620C2212yescomplemented
110#2620C2212yescomplemented
111#2618C2214yescomplemented
112#2618C2214yescomplemented
113#2618C2214yescomplemented
114#2604C2212yescomplemented
115#2604C2212yescomplemented
116#2603C2212yescomplemented
117#2603C2212yescomplemented
118#2582C2211yescharacteristic, complemented
119#2579C2214yescomplemented
120#2566C2211yescharacteristic
121#2566C2211yescharacteristic, complemented
122#2565C2211yescharacteristic, complemented
123#2565C2211yescharacteristic, complemented
124#2552C2212yescomplemented
125#2550C2212yescomplemented
126#2545C2214yescomplemented
127#2545C2211yescharacteristic, complemented
128#2545C2211yescharacteristic, complemented
129#2544C2211yescharacteristic
130#2544C2212yescomplemented
131#2544C2211yescharacteristic, complemented
132#2542C2212yescomplemented
133#2541C2212yescomplemented
134#2540C2212yescomplemented
135#2538C2211yescharacteristic
136#2538C2211yescharacteristic
137#2538C2212yes—
138#2538C2211yescharacteristic, complemented
139#2538C2211yescharacteristic, complemented
140#2538C2211yescharacteristic, complemented
141#2538C2214yescomplemented
142#2538C2214yescomplemented
143#2538C2212yescomplemented
144#2538C2212yescomplemented
145#2538C2212yescomplemented
146#2538C2211yescharacteristic, complemented
147#2537C2211yescharacteristic, complemented
148#2537C2212yescomplemented
149#2535C2212yescomplemented
150#2534C2214yescomplemented
151#2534C2214yescomplemented
152#2534C2214yescomplemented
153#2504C2211yescharacteristic, complemented
154#2503C2211yescharacteristic, complemented
155#2502C2211yescharacteristic, complemented
156#2501C2211yescharacteristic
157#2492C2212yescomplemented
158#2491C2212yescomplemented
159#2491C2212yescomplemented
160#2490C2212yescomplemented
161#2478C2214yescomplemented
162#2476C2214yescomplemented
163#2472C2214yescomplemented
164#2466C2214yescomplemented
165#2461C2214yescomplemented
166#2457C2214yescomplemented
167#2456C2214yescomplemented
168#2454C2212yes—
169#2454C2212yescomplemented
170#2453C2212yescomplemented
171#2452C2212yes—
172#2450C2214yescomplemented
173#2449C2214yescomplemented
174#2447C2212yescomplemented
175#2445C2212yescomplemented
176#2445C2212yescomplemented
177#2445C2212yescomplemented
178#2443C2214yescomplemented
179#2443C2214yescomplemented
180#2441C2212yescomplemented
181#2440C2212yescomplemented
182#2439C2212yescomplemented
183#2439C2212yescomplemented
184#2437C2214yescomplemented
185#2437C2214yescomplemented
186#2436C2211yescharacteristic
187#2435C2212yes—
188#2435C2211yescharacteristic
189#2435C2212yescomplemented
190#2434C2211yescharacteristic, complemented
191#2433C2212yes—
192#2433C2211yescharacteristic
193#2432C2212yescomplemented
194#2430C2214yescomplemented
195#2429C2214yescomplemented
196#2429C2212yescomplemented
197#2428C2212yescomplemented
198#2428C2212yescomplemented
199#2427C2212yescomplemented
200#2427C2212yescomplemented
201#2427C2212yescomplemented
202#2426C2214yescomplemented
203#2426C2212yescomplemented
204#2426C2212yescomplemented
205#2425C2214yescomplemented
206#2425C2214yescomplemented
207#2425C2214yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2424C2214yescomplemented
211#2422C2212yescomplemented
212#2422C2212yescomplemented
213#2420C2212yescomplemented
214#2420C2212yescomplemented
215#2419C2214yescomplemented
216#2418C2214yescomplemented
217#2418C2214yescomplemented
218#2417C2212yescomplemented
219#2417C2212yescomplemented
220#2417C2212yescomplemented
221#2417C2212yescomplemented
222#2417C2214yescomplemented
223#2416C2212yes—
224#2416C2212yescomplemented
225#2416C2214yescomplemented
226#2416C2214yescomplemented
227#2416C2214yescomplemented
228#2416C2212yescomplemented
229#2415C2212yescomplemented
230#2413C2214yescomplemented
231#2413C2212yescomplemented
232#2413C2212yescomplemented
233#2413C2214yescomplemented
234#2411C2214yescomplemented
235#2411C2212yescomplemented
236#2411C2212yescomplemented
237#2411C2214yescomplemented
238#2410C2214yescomplemented
239#2408C2212yescomplemented
240#2407C2212yescomplemented
241#2407C2212yescomplemented
242#2407C2212yescomplemented
243#2405C2214yescomplemented
244#2404C2214yescomplemented
245#2396C2212yescomplemented
246#2396C2212yescomplemented
247#2392C2212yescomplemented
248#2392C2212yescomplemented
249#2392C2214yescomplemented
250C2×#396C2214yescomplemented
251C2×#396C2214yescomplemented
252#2367C2212yes—
253#2366C2212yes—
254#2363C2212yescomplemented
255#2362C2212yescomplemented
256#2362C2212yescomplemented
257#2361C2212yescomplemented
258#2361C2212yescomplemented
259#2361C2212yescomplemented
260#2361C2212yescomplemented
261#2360C2212yescomplemented
262#2354C2212yescomplemented
263#2354C2212yescomplemented
264#2352C2212yescomplemented
265#2349C2212yescomplemented
266D4×C4⋊C4C2214yescomplemented
267D4×C4⋊C4C2212yescomplemented
268D4×C4⋊C4C2212yescomplemented
269D4×C4⋊C4C2212yescomplemented
270D4×C4⋊C4C2212yescomplemented
271#2339C2212yescomplemented
272#2339C2214yescomplemented
273D4×C22⋊C4C2212yes—
274D4×C22⋊C4C2212yes—
275D4×C22⋊C4C2212yescomplemented
276D4×C22⋊C4C2214yescomplemented
277#2326C2212yescomplemented
278#2326C2212yescomplemented
279#2311C2212yescomplemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×C4⋊Q8C2211yescharacteristic, complemented
284C4×#127C2211yescharacteristic
285C4×#127C2211yescharacteristic, complemented
286C4×#127C2211yescharacteristic, complemented
287C4×#127C2211yescharacteristic, complemented
288C4×#124C2211yescharacteristic
289C4×#124C2211yescharacteristic, complemented
290C4×#124C2211yescharacteristic, complemented
291C4×#124C2211yescharacteristic, complemented
292C4×#123C2212yescomplemented
293C4×#123C2212yescomplemented
294C4×#120C2212yescomplemented
295C4×#120C2212yescomplemented
296C2×#390C2212yes—
297C2×#389C2212yescomplemented
298C2×#384C2211yescharacteristic, complemented
299C2×#380C2212yescomplemented
300C4×#117C2211yescharacteristic, complemented
301C22×#41C2312yes—
302C22×#41C2314yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×Q8C2311yescharacteristic
306C23×D4C2312yes—
307C23×D4C2311yescharacteristic
308C23×D4C2314yes—
309C23×D4C2312yes—
310C24×C4C2312yes—
311#559—28no—
312#559—216no—
313Q82—28no—
314#555—28no—
315#554—28no—
316#554—28no—
317#554—216no—
318#553—216no—
319#553—216no—
320#550—28no—
321#550—28no—
322#548—216no—
323#547—232no—
324#547—216no—
325#547—48no—
326#546—232no—
327#546—216no—
328#546—416no—
329#546—48no—
330D42—28no—
331D42—216no—
332#542—232no—
333#542—216no—
334#540—216no—
335#538—232no—
336#532—216no—
337#532D4116yescomplemented
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×#127C2311yescharacteristic
345C2×#127C2312yes—
346C2×#127C2312yes—
347C2×#127C2311yescharacteristic
348C2×#127C2311yescharacteristic
349#529—216no—
350#529—28no—
351#529—28no—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#125C2311yescharacteristic
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#124C2311yescharacteristic
361C2×#124C2311yescharacteristic
362C2×#124C2311yescharacteristic
363C2×#124C2314yes—
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#124C2311yescharacteristic
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2311yescharacteristic
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373#525—216no—
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2312yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×C22⋊Q8—48no—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×#121—216no—
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2311yescharacteristic
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2311yescharacteristic
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435C2×#120C2312yes—
436C2×#120C2314yes—
437C2×#120C2312yes—
438C2×#120C2314yes—
439C2×#120C2314yes—
440#520—216no—
441#520—48no—
442#518—216no—
443C2×C4×Q8—28no—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×D4—28no—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2314yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2311yescharacteristic
499C2×#117C2314yes—
500C2×#117C2311yescharacteristic
501C2×#117C2314yes—
502C22×C4⋊C4C2314yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2311yescharacteristic
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2314yes—
510C22×C4⋊C4C2314yes—
511C22×C4⋊C4C2314yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C22⋊C4C2314yes—
515C22×C22⋊C4C2312yes—
516C22×C22⋊C4C2314yes—
517C22×C22⋊C4C2314yes—
518C22×C22⋊C4C2314yes—
519C22×C22⋊C4C2314yes—
520C22×C22⋊C4C2314yes—
521C22×C42C2312yes—
522C22×C42C2311yescharacteristic
523#400C2312yes—
524#400C2312yes—
525#400C2314yes—
526#399C2312yes—
527#399C2312yes—
528#399C2314yes—
529#399C2314yes—
530#399C2314yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2312yes—
540#398C2312yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#397C2312yes—
546#397C2312yes—
547#397C2314yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#396C2312yes—
554#396C2312yes—
555#396C2312yes—
556#396C2312yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2312yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2312yes—
572#396C2312yes—
573#396C2314yes—
574#396C2312yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#395C2312yes—
584#395C2312yes—
585#395C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2312yes—
590#394C2312yes—
591#394C2312yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2312yes—
601#394C2312yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2312yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#393C2312yes—
615#393C2312yes—
616#393C2314yes—
617#393C2314yes—
618#393C2314yes—
619#392C2312yes—
620#392C2312yes—
621#392C2314yes—
622#392C2314yes—
623#392C2314yes—
624#392C2314yes—
625#392C2314yes—
626#392C2314yes—
627#391C2311yescharacteristic
628#391C2311yescharacteristic
629#391C2312yes—
630#391C2312yes—
631#391C2311yescharacteristic
632#391C2311yescharacteristic
633#391C2311yescharacteristic
634#391C2311yescharacteristic
635#391C2312yes—
636#391C2312yes—
637#391C2314yes—
638#391C2314yes—
639#391C2311yescharacteristic
640#391C2311yescharacteristic
641#390C2311yescharacteristic
642#390C2312yes—
643#390C2312yes—
644#390C2311yescharacteristic
645#390C2311yescharacteristic
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2311yescharacteristic
655#390C2311yescharacteristic
656#390C2311yescharacteristic
657#390C2312yes—
658#390C2312yes—
659#390C2311yescharacteristic
660#390C2312yes—
661#390C2314yes—
662#390C2314yes—
663#390C2314yes—
664#390C2312yes—
665#390C2314yes—
666#390C2311yescharacteristic
667#390C2314yes—
668#390C2314yes—
669#390C2312yes—
670#390C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2314yes—
684#389C2314yes—
685#389C2314yes—
686#389C2312yes—
687#389C2314yes—
688#389C2312yes—
689#389C2314yes—
690#389C2312yes—
691#389C2312yes—
692#389C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#387C2312yes—
718#387C2312yes—
719#387C2312yes—
720#387C2312yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2312yes—
752#386C2312yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2312yes—
766#385C2312yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2312yes—
774#385C2312yes—
775#384C2311yescharacteristic
776#384C2311yescharacteristic
777#384C2311yescharacteristic
778#384C2311yescharacteristic
779#384C2311yescharacteristic
780#384C2311yescharacteristic
781#384C2312yes—
782#384C2312yes—
783#384C2312yes—
784#384C2314yes—
785#382C2311yescharacteristic
786#382C2311yescharacteristic
787#382C2311yescharacteristic
788#382C2311yescharacteristic
789#381C2312yes—
790#381C2314yes—
791#381C2314yes—
792#381C2312yes—
793#380C2314yes—
794#380C2314yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2314yes—
799#380C2312yes—
800#380C2314yes—
801#380C2314yes—
802#380C2314yes—
803#380C2312yes—
804#380C2314yes—
805#380C2314yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2314yes—
810#380C2314yes—
811#379C2314yes—
812#379C2314yes—
813#379C2312yes—
814#379C2314yes—
815#379C2314yes—
816#379C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844#376C2311yescharacteristic
845#376C2311yescharacteristic
846C2×#95C2314yes—
847C2×#95C2314yes—
848C43C2311yescharacteristic
849C43C2311yescharacteristic
850C25C2412yes—
851C25C2414yes—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—28no—
855C2×#41—216no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—48no—
859C2×#41—48no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41C2×D4116yes—
864C22×Q8—24no—
865C22×Q8—24no—
866C22×Q8—42no—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2414yes—
873C22×Q8C2412yes—
874C22×D4—28no—
875C22×D4—24no—
876C22×D4—28no—
877C22×D4—28no—
878C22×D4—216no—
879C22×D4—24no—
880C22×D4—42no—
881C22×D4—44no—
882C22×D4—44no—
883C22×D4—44no—
884C22×D4—48no—
885C22×D4—48no—
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2411yescharacteristic
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2412yes—
907C22×D4C2414yes—
908C22×D4C2412yes—
909C23×C4—28no—
910C23×C4—44no—
911C23×C4—44no—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2414yes—
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2414yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2414yes—
929C23×C4C2414yes—
930C23×C4C2412yes—
931C23×C4C2414yes—
932C23×C4C2414yes—
933C4⋊Q8—216no—
934C4⋊Q8—24no—
935C4⋊Q8—28no—
936C4⋊Q8—28no—
937C4⋊Q8—42no—
938C4⋊Q8C2×D418yes—
939#127—28no—
940#127—28no—
941#127—24no—
942#127—42no—
943#127C2×D418yes—
944#126—216no—
945#126—216no—
946#126—28no—
947#126—28no—
948#125—28no—
949#125—28no—
950#125—24no—
951#125—24no—
952#124—216no—
953#124—24no—
954#124—28no—
955#124—28no—
956#124—24no—
957#124—216no—
958#124—216no—
959#124—24no—
960#124—24no—
961#124—48no—
962#124—42no—
963#124—42no—
964#124C2×D4116yes—
965#123—216no—
966#123—216no—
967#123—28no—
968#123—28no—
969#123—216no—
970#123—216no—
971#123—216no—
972#123—216no—
973#123—216no—
974#123—28no—
975#123—48no—
976#123—48no—
977#123—48no—
978#123—44no—
979#123—48no—
980C22⋊Q8—216no—
981C22⋊Q8—216no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—24no—
985C22⋊Q8—24no—
986C22⋊Q8—216no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—216no—
990C22⋊Q8—216no—
991C22⋊Q8—48no—
992C22⋊Q8—48no—
993C22⋊Q8—48no—
994C22⋊Q8—44no—
995C22⋊Q8—44no—
996C22⋊Q8—44no—
997C22⋊Q8—44no—
998#121—216no—
999#121—28no—
1000#121—28no—
1001#121—216no—
1002#121—216no—
1003#121—28no—
1004#121—28no—
1005#121—216no—
1006#121—24no—
1007#121—24no—
1008#121—216no—
1009#121—28no—
1010#121—28no—
1011#121—216no—
1012#121—216no—
1013#121—48no—
1014#121—48no—
1015#121—48no—
1016#121—44no—
1017#121—44no—
1018#121—48no—
1019#121—48no—
1020#121C2×D4116yes—
1021#121C2×D4116yes—
1022#120—216no—
1023#120—216no—
1024#120—216no—
1025#120—28no—
1026#120—48no—
1027#120—48no—
1028#120—44no—
1029C4×Q8—28no—
1030C4×Q8—28no—
1031C4×Q8—24no—
1032C4×Q8—28no—
1033C4×Q8—24no—
1034C4×Q8—24no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—24no—
1038C4×Q8—24no—
1039C4×Q8—44no—
1040C4×Q8—44no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—216no—
1044C4×D4—216no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—216no—
1048C4×D4—216no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—216no—
1054C4×D4—216no—
1055C4×D4—216no—
1056C4×D4—24no—
1057C4×D4—28no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—28no—
1061C4×D4—24no—
1062C4×D4—24no—
1063C4×D4—24no—
1064C4×D4—44no—
1065C4×D4—44no—
1066C4×D4—44no—
1067C4×D4—48no—
1068C4×D4—44no—
1069C4×D4—44no—
1070C4×D4—44no—
1071C4×D4—44no—
1072C4×D4—44no—
1073C4×D4—44no—
1074C4×D4—44no—
1075C4×D4—48no—
1076C4×D4C2×D4116yes—
1077C4×D4C2×D4116yes—
1078#117—28no—
1079#117—28no—
1080#117—216no—
1081#117—24no—
1082#117—28no—
1083#117—28no—
1084#117—48no—
1085#117—42no—
1086C2×C4⋊C4—24no—
1087C2×C4⋊C4—24no—
1088C2×C4⋊C4—28no—
1089C2×C4⋊C4—216no—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—44no—
1093C2×C4⋊C4—48no—
1094C2×C4⋊C4—48no—
1095C2×C4⋊C4—44no—
1096C2×C4⋊C4—48no—
1097C2×C4⋊C4—44no—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C22⋊C4—28no—
1163C2×C22⋊C4—216no—
1164C2×C22⋊C4—216no—
1165C2×C22⋊C4—48no—
1166C2×C22⋊C4—48no—
1167C2×C22⋊C4—48no—
1168C2×C22⋊C4—48no—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2411yescharacteristic
1243C2×C42—28no—
1244C2×C42C2×D418yes—
1245C2×C42C2414yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2414yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2414yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2412yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2412yes—
1261C2×C42C2412yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264C2×C42C2414yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2411yescharacteristic
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271#95C2414yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2411yescharacteristic
1279#95C2411yescharacteristic
1280#95C2411yescharacteristic
1281#95C2411yescharacteristic
1282#95C2411yescharacteristic
1283#95C2411yescharacteristic
1284#95C2411yescharacteristic
1285#95C2411yescharacteristic
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317C24—24no—
1318C24—24no—
1319C24—24no—
1320C24—24no—
1321C24—28no—
1322C24—28no—
1323C24—42no—
1324C24—42no—
1325C24—42no—
1326C24—44no—
1327C24—44no—
1328C24—44no—
1329C24—44no—
1330C24—44no—
1331C24C2512yes—
1332C24C2512yes—
1333C24C2512yes—
1334C24C2514yes—
1335C24C2512yes—
1336C24C2511yescharacteristic
1337#41—432no—
1338#41—432no—
1339#41—832no—
1340#41—816no—
1341C2×Q8—22no—
1342C2×Q8—22no—
1343C2×Q8—24no—
1344C2×Q8—22no—
1345C2×Q8—22no—
1346C2×Q8—28no—
1347C2×Q8—24no—
1348C2×Q8—22no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—22no—
1352C2×Q8—22no—
1353C2×Q8—22no—
1354C2×Q8—22no—
1355C2×Q8—42no—
1356C2×Q8—42no—
1357C2×Q8—42no—
1358C2×Q8—44no—
1359C2×Q8—44no—
1360C2×Q8—416no—
1361C2×Q8C22×D418yes—
1362C2×Q8H(5,𝔽2)14yes—
1363C2×D4—28no—
1364C2×D4—28no—
1365C2×D4—28no—
1366C2×D4—28no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—28no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—28no—
1377C2×D4—28no—
1378C2×D4—28no—
1379C2×D4—28no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—24no—
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—28no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—28no—
1390C2×D4—22no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—24no—
1396C2×D4—22no—
1397C2×D4—24no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—416no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—44no—
1406C2×D4—42no—
1407C2×D4—44no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—44no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—432no—
1429C2×D4—816no—
1430C2×D4—832no—
1431C2×D4C22×D418yes—
1432C2×D4C22×D4116yes—
1433C2×D4C22×D418yes—
1434C2×D4C22×D418yes—
1435C2×D42−1+414yes—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—28no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—28no—
1449C22×C4—28no—
1450C22×C4—28no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—28no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—28no—
1467C22×C4—28no—
1468C22×C4—24no—
1469C22×C4—28no—
1470C22×C4—44no—
1471C22×C4—42no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—42no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—816no—
1496C22×C4C22×D414yes—
1497C22×C4C22×D414yes—
1498C22×C4C22×D414yes—
1499C22×C4C22×D4116yes—
1500C22×C4C2511yescharacteristic
1501C22×C4C2511yescharacteristic
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C22×C4C2511yescharacteristic
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2514yes—
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2512yes—
1516C22×C4C2514yes—
1517C22×C4C2512yes—
1518C22×C4C2512yes—
1519C22×C4C2511yescharacteristic
1520C22×C4C2514yes—
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2512yes—
1527C22×C4C2511yescharacteristic
1528C22×C4C2511yescharacteristic
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—28no—
1532C4⋊C4—24no—
1533C4⋊C4—22no—
1534C4⋊C4—22no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—28no—
1538C4⋊C4—24no—
1539C4⋊C4—22no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—28no—
1544C4⋊C4—24no—
1545C4⋊C4—22no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—22no—
1549C4⋊C4—22no—
1550C4⋊C4—24no—
1551C4⋊C4—28no—
1552C4⋊C4—28no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—28no—
1556C4⋊C4—24no—
1557C4⋊C4—22no—
1558C4⋊C4—24no—
1559C4⋊C4—28no—
1560C4⋊C4—28no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—28no—
1564C4⋊C4—22no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—44no—
1571C4⋊C4—42no—
1572C4⋊C4—44no—
1573C4⋊C4—42no—
1574C4⋊C4—42no—
1575C4⋊C4—44no—
1576C4⋊C4—44no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—41no—
1581C4⋊C4—41no—
1582C4⋊C4—42no—
1583C4⋊C4—42no—
1584C4⋊C4—42no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—42no—
1588C4⋊C4—42no—
1589C4⋊C4—42no—
1590C4⋊C4—42no—
1591C4⋊C4C22×D418yes—
1592C4⋊C4C22×D418yes—
1593C22⋊C4—28no—
1594C22⋊C4—28no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—28no—
1598C22⋊C4—28no—
1599C22⋊C4—28no—
1600C22⋊C4—28no—
1601C22⋊C4—22no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—28no—
1609C22⋊C4—24no—
1610C22⋊C4—28no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—28no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—28no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—28no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—28no—
1627C22⋊C4—28no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—42no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—42no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—42no—
1659C22⋊C4—42no—
1660C22⋊C4—42no—
1661C22⋊C4—42no—
1662C22⋊C4—42no—
1663C22⋊C4—42no—
1664C22⋊C4C22×D4116yes—
1665C22⋊C4C22×D4116yes—
1666C22⋊C4H(5,𝔽2)14yes—
1667C42—24no—
1668C42—24no—
1669C42—24no—
1670C42—24no—
1671C42—28no—
1672C42—24no—
1673C42—28no—
1674C42—24no—
1675C42—22no—
1676C42—22no—
1677C42—28no—
1678C42—22no—
1679C42—22no—
1680C42—22no—
1681C42—22no—
1682C42—22no—
1683C42—22no—
1684C42—22no—
1685C42—22no—
1686C42—41no—
1687C42—41no—
1688C42—44no—
1689C42C22×D414yes—
1690C42C22×D414yes—
1691C42C22×D414yes—
1692C42C22×D414yes—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—24no—
1701C23—24no—
1702C23—24no—
1703C23—24no—
1704C23—22no—
1705C23—22no—
1706C23—24no—
1707C23—24no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—48no—
1731C23—48no—
1732C23—48no—
1733C23—416no—
1734C23—48no—
1735C23—84no—
1736C23—84no—
1737C23—84no—
1738C23—88no—
1739C23—88no—
1740C23—88no—
1741C23—88no—
1742C23—164no—
1743C23—164no—
1744C23C23×D418yes—
1745C23C23×D412yes—
1746C23C2×H(5,𝔽2)12yes—
1747C23C2×2−1+414yes—
1748C23#58512yes—
1749C23C2611yescharacteristic
1750Q8—28no—
1751Q8—48no—
1752Q8—48no—
1753Q8—44no—
1754Q8—44no—
1755Q8—44no—
1756Q8—88no—
1757D4—232no—
1758D4—216no—
1759D4—28no—
1760D4—216no—
1761D4—48no—
1762D4—48no—
1763D4—48no—
1764D4—416no—
1765D4—416no—
1766D4—48no—
1767D4—48no—
1768D4—44no—
1769D4—44no—
1770D4—44no—
1771D4—84no—
1772D4—88no—
1773D4—84no—
1774D4—88no—
1775D4—88no—
1776D4—88no—
1777D4—88no—
1778D4—84no—
1779D4—164no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—24no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—24no—
1795C2×C4—22no—
1796C2×C4—28no—
1797C2×C4—28no—
1798C2×C4—28no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—24no—
1816C2×C4—24no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—24no—
1821C2×C4—24no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—24no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—416no—
1857C2×C4—48no—
1858C2×C4—416no—
1859C2×C4—48no—
1860C2×C4—48no—
1861C2×C4—48no—
1862C2×C4—48no—
1863C2×C4—48no—
1864C2×C4—88no—
1865C2×C4—84no—
1866C2×C4—84no—
1867C2×C4—88no—
1868C2×C4—88no—
1869C2×C4—88no—
1870C2×C4—84no—
1871C2×C4—88no—
1872C2×C4—88no—
1873C2×C4—164no—
1874C2×C4C23×D412yes—
1875C2×C4C23×D418yes—
1876C2×C4C23×D412yes—
1877C2×C4C23×D412yes—
1878C2×C4C23×D412yes—
1879C2×C4C23×D412yes—
1880C2×C4C23×D412yes—
1881C2×C4C2×H(5,𝔽2)12yes—
1882C2×C4C2×H(5,𝔽2)12yes—
1883C2×C4C2×H(5,𝔽2)14yes—
1884C2×C4C2×H(5,𝔽2)12yes—
1885C2×C4C2×2−1+412yes—
1886C2×C4#58512yes—
1887C2×C4#58512yes—
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—24no—
1895C22—24no—
1896C22—28no—
1897C22—28no—
1898C22—24no—
1899C22—28no—
1900C22—44no—
1901C22—44no—
1902C22—42no—
1903C22—44no—
1904C22—42no—
1905C22—42no—
1906C22—44no—
1907C22—42no—
1908C22—42no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—42no—
1927C22—42no—
1928C22—42no—
1929C22—816no—
1930C22—1616no—
1931C22#349614yes—
1932C22C24×D411yescharacteristic
1933C22C22×H(5,𝔽2)11yescharacteristic
1934C22C22×H(5,𝔽2)11yescharacteristic
1935C22C22×2−1+411yescharacteristic
1936C22C2×#58511yescharacteristic
1937C22C2×#58511yescharacteristic
1938C22C2×#58511yescharacteristic
1939C4—22no—
1940C4—22no—
1941C4—22no—
1942C4—22no—
1943C4—28no—
1944C4—22no—
1945C4—24no—
1946C4—22no—
1947C4—41no—
1948C4—44no—
1949C4—44no—
1950C4—41no—
1951C4—41no—
1952C4—41no—
1953C4—42no—
1954C4—42no—
1955C4—42no—
1956C4—42no—
1957C4—41no—
1958C4—41no—
1959C4—42no—
1960C4—42no—
1961C4—42no—
1962C4—42no—
1963C4—42no—
1964C4—42no—
1965C4—42no—
1966C4#348814yes—
1967C4#348914yes—
1968C2—24no—
1969C2—44no—
1970C2—48no—
1971C2—82no—
1972C2—82no—
1973C2—82no—
1974C2C2×#349611yescharacteristic
1975C2C2×#348811yescharacteristic
1976C2C2×#348911yescharacteristic
1977C2#6301311yescharacteristic
1978C2#6301411yescharacteristic
1979C2#6301511yescharacteristic
1980C2#6302911yescharacteristic
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×#3522C2semidirect
2. C2×#3519C2semidirect
3. #59823C2semidirect
4. #59815C2semidirect
5. #59659C2semidirect
6. #59655C2semidirect
7. #59652C2semidirect
8. #59420C2semidirect
9. #59412C2semidirect
10. #59411C2semidirect
11. #59110C2semidirect
12. #59095C2semidirect
13. #59062C2semidirect
14. #59030C2semidirect
15. #59023C2semidirect
16. #59015C2semidirect
17. #59002C2semidirect
18. #58996C2semidirect
19. #47679C2semidirect
20. #47675C2semidirect
21. #42444C2semidirect
22. #42443C2semidirect
23. #42440C2semidirect
24. #42439C2semidirect
25. #41982C2semidirect
26. #37620C2semidirect
27. #35821C2semidirect
28. #35821C2semidirect
29. #35808C2semidirect
30. #35776C2semidirect
31. #35763C2semidirect
32. #34972C2semidirect
33. #34965C2semidirect
34. C2×#2538C2semidirect
35. #34207C2semidirect
38. C2×#559C22semidirect
39. C2×#559C22semidirect
40. C2×Q82C22semidirect
43. C2×#554C22semidirect
44. C2×#554C22semidirect
48. C2×#550C22semidirect
49. C2×#548C22semidirect
50. C2×#547C22semidirect
51. C2×#547C22semidirect
52. C2×#547C22semidirect
55. C2×#546C22semidirect
56. C2×#546C22semidirect
59. C2×#542C22semidirect
60. C2×#542C22semidirect
64. C2×#532C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
69. C22×C22⋊Q8C22semidirect
71. C2×#520C22semidirect
72. C2×#520C22semidirect
74. C22×C4×Q8C22semidirect
76. #2823C22semidirect
77. #2814C22semidirect
78. #2813C22semidirect
79. #2732C22semidirect
80. #2731C22semidirect
81. #2730C22semidirect
82. #2729C22semidirect
83. #2722C22semidirect
84. #2718C22semidirect
85. #2715C22semidirect
86. #2710C22semidirect
87. #2701C22semidirect
88. #2697C22semidirect
89. #2693C22semidirect
90. #2691C22semidirect
91. #2687C22semidirect
92. #2685C22semidirect
93. #2682C22semidirect
94. #2681C22semidirect
95. #2680C22semidirect
96. #2678C22semidirect
97. #2676C22semidirect
98. #2676C22semidirect
99. #2672C22semidirect
100. #2672C22semidirect
101. #2671C22semidirect
102. #2670C22semidirect
103. #2630C22semidirect
104. #2630C22semidirect
105. #2629C22semidirect
106. #2629C22semidirect
107. #2626C22semidirect
108. #2620C22semidirect
109. #2620C22semidirect
110. #2620C22semidirect
111. #2618C22semidirect
112. #2618C22semidirect
113. #2618C22semidirect
114. #2604C22semidirect
115. #2604C22semidirect
116. #2603C22semidirect
117. #2603C22semidirect
118. #2582C22semidirect
119. #2579C22semidirect
121. #2566C22semidirect
122. #2565C22semidirect
123. #2565C22semidirect
124. #2552C22semidirect
125. #2550C22semidirect
126. #2545C22semidirect
127. #2545C22semidirect
128. #2545C22semidirect
130. #2544C22semidirect
131. #2544C22semidirect
132. #2542C22semidirect
133. #2541C22semidirect
134. #2540C22semidirect
138. #2538C22semidirect
139. #2538C22semidirect
140. #2538C22semidirect
141. #2538C22semidirect
142. #2538C22semidirect
143. #2538C22semidirect
144. #2538C22semidirect
145. #2538C22semidirect
146. #2538C22semidirect
147. #2537C22semidirect
148. #2537C22semidirect
149. #2535C22semidirect
150. #2534C22semidirect
151. #2534C22semidirect
152. #2534C22semidirect
153. #2504C22semidirect
154. #2503C22semidirect
155. #2502C22semidirect
157. #2492C22semidirect
158. #2491C22semidirect
159. #2491C22semidirect
160. #2490C22semidirect
161. #2478C22semidirect
162. #2476C22semidirect
163. #2472C22semidirect
164. #2466C22semidirect
165. #2461C22semidirect
166. #2457C22semidirect
167. #2456C22semidirect
169. #2454C22semidirect
170. #2453C22semidirect
172. #2450C22semidirect
173. #2449C22semidirect
174. #2447C22semidirect
175. #2445C22semidirect
176. #2445C22semidirect
177. #2445C22semidirect
178. #2443C22semidirect
179. #2443C22semidirect
180. #2441C22semidirect
181. #2440C22semidirect
182. #2439C22semidirect
183. #2439C22semidirect
184. #2437C22semidirect
185. #2437C22semidirect
189. #2435C22semidirect
190. #2434C22semidirect
193. #2432C22semidirect
194. #2430C22semidirect
195. #2429C22semidirect
196. #2429C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2427C22semidirect
200. #2427C22semidirect
201. #2427C22semidirect
202. #2426C22semidirect
203. #2426C22semidirect
204. #2426C22semidirect
205. #2425C22semidirect
206. #2425C22semidirect
207. #2425C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
210. #2424C22semidirect
211. #2422C22semidirect
212. #2422C22semidirect
213. #2420C22semidirect
214. #2420C22semidirect
215. #2419C22semidirect
216. #2418C22semidirect
217. #2418C22semidirect
218. #2417C22semidirect
219. #2417C22semidirect
220. #2417C22semidirect
221. #2417C22semidirect
222. #2417C22semidirect
224. #2416C22semidirect
225. #2416C22semidirect
226. #2416C22semidirect
227. #2416C22semidirect
228. #2416C22semidirect
229. #2415C22semidirect
230. #2413C22semidirect
231. #2413C22semidirect
232. #2413C22semidirect
233. #2413C22semidirect
234. #2411C22semidirect
235. #2411C22semidirect
236. #2411C22semidirect
237. #2411C22semidirect
238. #2410C22semidirect
239. #2408C22semidirect
240. #2407C22semidirect
241. #2407C22semidirect
242. #2407C22semidirect
243. #2405C22semidirect
244. #2404C22semidirect
245. #2396C22semidirect
246. #2396C22semidirect
247. #2392C22semidirect
248. #2392C22semidirect
249. #2392C22semidirect
250. C2×#396C22semidirect
251. C2×#396C22semidirect
254. #2363C22semidirect
255. #2362C22semidirect
256. #2362C22semidirect
257. #2361C22semidirect
258. #2361C22semidirect
259. #2361C22semidirect
260. #2361C22semidirect
261. #2360C22semidirect
262. #2354C22semidirect
263. #2354C22semidirect
264. #2352C22semidirect
265. #2349C22semidirect
266. D4×C4⋊C4C22semidirect
267. D4×C4⋊C4C22semidirect
268. D4×C4⋊C4C22semidirect
269. D4×C4⋊C4C22semidirect
270. D4×C4⋊C4C22semidirect
271. #2339C22semidirect
272. #2339C22semidirect
275. D4×C22⋊C4C22semidirect
276. D4×C22⋊C4C22semidirect
277. #2326C22semidirect
278. #2326C22semidirect
279. #2311C22semidirect
280. C4×C4⋊Q8C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×C4⋊Q8C22semidirect
285. C4×#127C22semidirect
286. C4×#127C22semidirect
287. C4×#127C22semidirect
289. C4×#124C22semidirect
290. C4×#124C22semidirect
291. C4×#124C22semidirect
292. C4×#123C22semidirect
293. C4×#123C22semidirect
294. C4×#120C22semidirect
295. C4×#120C22semidirect
297. C2×#389C22semidirect
298. C2×#384C22semidirect
299. C2×#380C22semidirect
300. C4×#117C22semidirect
337. #532D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35222
C2×#35192
#598232
#598152
#596592
#596552
#596522
#594202
#594122
#594112
#591102
#590952
#590622
#590302
#590232
#590152
#590022
#589962
#476792
#476752
#424442
#424432
#424402
#424392
#419822
#376202
#358212
#358082
#357762
#357632
#349722
#349652
C2×#25382
#342072