Finite Group Databasebeta

← #7985107

Subgroups — #7985107

Order 512.

8342 conjugacy classes of subgroups.

The subgroup lattice has 2021 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3546C211yesmaximal, characteristic, complemented
2C2×D4×#41C211yesmaximal, characteristic, complemented
3#59419C211yesmaximal, characteristic, complemented
4#59117C212yesmaximal, complemented
5#59066C211yesmaximal, characteristic, complemented
6#59033C211yesmaximal, characteristic, complemented
7#58999C212yesmaximal, complemented
8#47931C214yesmaximal, complemented
9#47828C214yesmaximal, complemented
10#45440C214yesmaximal, complemented
11#45255C212yesmaximal, complemented
12#45241C212yesmaximal, complemented
13#45095C212yesmaximal, complemented
14#44869C212yesmaximal, complemented
15#42673C212yesmaximal, complemented
16#42474C212yesmaximal, complemented
17#42435C212yesmaximal, complemented
18#42420C212yesmaximal, complemented
19#39488C211yesmaximal, characteristic, complemented
20#39471C211yesmaximal, characteristic, complemented
21#39360C211yesmaximal, characteristic, complemented
22#38911C211yesmaximal, characteristic, complemented
23#37788C214yesmaximal, complemented
24#37780C212yesmaximal, complemented
25#37668C212yesmaximal, complemented
26#36405C211yesmaximal, characteristic, complemented
27#36237C212yesmaximal, complemented
28#36213C212yesmaximal, complemented
29#36127C211yesmaximal, characteristic, complemented
30#36100C211yesmaximal, characteristic, complemented
31#35152C212yesmaximal, complemented
32#35149C212yesmaximal, complemented
33#34715C211yesmaximal, characteristic, complemented
34#34700C211yesmaximal, characteristic, complemented
35#34493C211yesmaximal, characteristic, complemented
36C23×#41C2212yes—
37#3546—216no—
38C2×#560C2214yescomplemented
39C2×#556C2211yescharacteristic, complemented
40C2×#553C2212yescomplemented
41D4×#41—216no—
42C2×#550C2211yescharacteristic
43C2×#550C2211yescharacteristic, complemented
44C2×#550C2212yescomplemented
45C2×D4×Q8C2211yescharacteristic
46C2×#548C2212yes—
47C2×#547C2211yescharacteristic
48C2×#547C2211yescharacteristic
49C2×#547C2212yes—
50C2×#547C2212yescomplemented
51C2×#547C2212yescomplemented
52C2×#546C2212yes—
53C2×#546C2214yes—
54C2×#546C2212yes—
55C2×#546C2212yescomplemented
56C2×D42C2212yes—
57C2×D42C2211yescharacteristic
58C2×#542C2212yescomplemented
59C2×#538C2214yescomplemented
60C2×#537C2212yescomplemented
61C2×#536C2212yescomplemented
62C2×#535C2212yes—
63C2×#535C2212yescomplemented
64C2×#532C2211yescharacteristic
65C2×#532C2212yes—
66C2×#532C2211yescharacteristic, complemented
67C2×#532C2211yescharacteristic, complemented
68C2×#529C2211yescharacteristic
69C2×#525C2212yes—
70C2×#525C2214yes—
71C2×#525C2212yescomplemented
72C2×C4×#41C2211yescharacteristic
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2212yes—
75#2868C2211yescharacteristic, complemented
76#2857C2211yescharacteristic, complemented
77#2857C2211yescharacteristic, complemented
78#2855C2212yescomplemented
79#2849C2214yescomplemented
80#2849C2214yescomplemented
81#2849C2214yescomplemented
82#2848C2212yescomplemented
83#2812C2214yescomplemented
84#2812C2214yescomplemented
85#2724C2214yescomplemented
86#2718C2214yescomplemented
87#2718C2214yescomplemented
88#2710C2214yescomplemented
89#2708C2214yescomplemented
90#2708C2214yescomplemented
91#2703C2214yescomplemented
92#2701C2214yescomplemented
93#2701C2214yescomplemented
94#2701C2214yescomplemented
95#2700C2214yescomplemented
96#2699C2214yescomplemented
97#2699C2214yescomplemented
98#2697C2214yescomplemented
99#2695C2214yescomplemented
100#2689C2214yescomplemented
101#2689C2214yescomplemented
102#2688C2214yescomplemented
103#2688C2214yescomplemented
104#2687C2214yescomplemented
105#2687C2214yescomplemented
106#2686C2214yescomplemented
107#2684C2214yescomplemented
108#2682C2214yescomplemented
109#2681C2214yescomplemented
110#2680C2214yescomplemented
111#2680C2214yescomplemented
112#2678C2214yescomplemented
113#2676C2214yescomplemented
114#2673C2214yescomplemented
115#2671C2214yescomplemented
116#2671C2214yescomplemented
117#2669C2214yescomplemented
118#2625C2212yescomplemented
119#2622C2214yescomplemented
120#2622C2214yescomplemented
121#2622C2214yescomplemented
122#2621C2212yescomplemented
123#2620C2212yescomplemented
124#2617C2214yescomplemented
125#2615C2212yescomplemented
126#2613C2214yescomplemented
127#2613C2214yescomplemented
128#2582C2211yescharacteristic, complemented
129#2568C2211yescharacteristic, complemented
130#2550C2212yescomplemented
131#2549C2214yescomplemented
132#2547C2212yescomplemented
133#2547C2211yescharacteristic, complemented
134#2546C2211yescharacteristic, complemented
135#2544C2212yescomplemented
136#2543C2214yescomplemented
137#2542C2211yescharacteristic, complemented
138#2540C2212yescomplemented
139#2537C2211yescharacteristic, complemented
140#2537C2212yescomplemented
141#2537C2212yescomplemented
142#2535C2212yescomplemented
143#2521C2214yescomplemented
144#2502C2212yescomplemented
145#2500C2212yescomplemented
146#2492C2212yescomplemented
147#2492C2212yescomplemented
148#2487C2212yescomplemented
149#2485C2212yescomplemented
150#2483C2214yescomplemented
151#2480C2212yescomplemented
152#2478C2214yescomplemented
153#2476C2212yescomplemented
154#2474C2212yescomplemented
155#2468C2214yescomplemented
156#2468C2214yescomplemented
157#2468C2212yescomplemented
158#2464C2214yescomplemented
159#2461C2214yescomplemented
160#2459C2212yescomplemented
161#2457C2212yescomplemented
162#2456C2212yescomplemented
163#2456C2214yescomplemented
164#2455C2214yescomplemented
165#2455C2214yescomplemented
166#2454C2211yescharacteristic, complemented
167#2451C2211yescharacteristic, complemented
168#2450C2214yescomplemented
169#2449C2214yescomplemented
170#2447C2211yescharacteristic
171#2447C2212yes—
172#2447C2214yescomplemented
173#2447C2214yescomplemented
174#2447C2212yescomplemented
175#2447C2212yescomplemented
176#2445C2214yescomplemented
177#2445C2214yescomplemented
178#2445C2211yescharacteristic, complemented
179#2445C2212yescomplemented
180#2444C2214yescomplemented
181#2443C2214yescomplemented
182#2443C2214yescomplemented
183#2443C2214yescomplemented
184#2442C2211yescharacteristic, complemented
185#2440C2212yescomplemented
186#2440C2212yescomplemented
187#2439C2211yescharacteristic, complemented
188#2435C2211yescharacteristic
189#2434C2212yescomplemented
190#2432C2212yes—
191#2432C2212yescomplemented
192#2432C2212yescomplemented
193#2432C2212yescomplemented
194#2432C2212yescomplemented
195#2432C2212yescomplemented
196#2432C2212yescomplemented
197#2431C2211yescharacteristic
198#2431C2212yescomplemented
199#2431C2212yescomplemented
200#2431C2212yescomplemented
201#2431C2212yescomplemented
202#2430C2214yescomplemented
203#2430C2214yescomplemented
204#2429C2212yescomplemented
205#2429C2212yescomplemented
206#2428C2212yescomplemented
207#2428C2212yescomplemented
208#2428C2212yescomplemented
209#2427C2212yescomplemented
210#2427C2211yescharacteristic, complemented
211#2426C2211yescharacteristic, complemented
212#2422C2212yes—
213#2422C2212yes—
214#2422C2212yes—
215#2422C2212yescomplemented
216#2422C2212yescomplemented
217#2422C2212yescomplemented
218#2422C2212yescomplemented
219#2422C2212yescomplemented
220#2420C2211yescharacteristic
221#2420C2212yes—
222#2420C2212yescomplemented
223#2420C2212yescomplemented
224#2420C2212yescomplemented
225#2420C2211yescharacteristic, complemented
226#2419C2214yescomplemented
227#2419C2214yescomplemented
228#2418C2214yescomplemented
229#2418C2212yescomplemented
230#2417C2211yescharacteristic, complemented
231#2415C2212yescomplemented
232#2415C2212yescomplemented
233#2415C2212yescomplemented
234#2414C2212yescomplemented
235#2414C2211yescharacteristic, complemented
236#2412C2214yescomplemented
237#2410C2214yescomplemented
238#2409C2212yescomplemented
239#2408C2212yes—
240#2408C2211yescharacteristic
241#2407C2211yescharacteristic
242#2407C2212yescomplemented
243#2407C2212yescomplemented
244#2407C2214yescomplemented
245#2407C2214yescomplemented
246#2407C2212yescomplemented
247#2407C2214yescomplemented
248#2407C2214yescomplemented
249#2407C2212yescomplemented
250#2406C2214yescomplemented
251#2406C2214yescomplemented
252#2405C2214yescomplemented
253#2395C2212yescomplemented
254#2392C2212yescomplemented
255#2392C2212yescomplemented
256#2388C2212yescomplemented
257#2375C2214yescomplemented
258#2366C2211yescharacteristic, complemented
259#2365C2212yescomplemented
260#2363C2212yescomplemented
261#2363C2212yescomplemented
262#2362C2212yescomplemented
263#2361C2212yescomplemented
264#2361C2214yescomplemented
265#2354C2211yescharacteristic
266#2354C2211yescharacteristic, complemented
267D4×C4⋊C4C2212yescomplemented
268D4×C4⋊C4C2212yescomplemented
269D4×C4⋊C4C2212yescomplemented
270D4×C4⋊C4C2212yescomplemented
271#2339C2212yescomplemented
272#2339C2212yescomplemented
273#2339C2212yescomplemented
274#2339C2212yescomplemented
275D4×C22⋊C4C2212yes—
276D4×C22⋊C4C2212yescomplemented
277#2324C2212yescomplemented
278#2324C2212yescomplemented
279#2321C2214yescomplemented
280#2317C2212yescomplemented
281#2311C2212yescomplemented
282#2310C2212yescomplemented
283#2309C2212yes—
284#2309C2212yescomplemented
285C4×#127C2211yescharacteristic, complemented
286C4×#124C2211yescharacteristic, complemented
287C4×#124C2211yescharacteristic, complemented
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#123C2212yescomplemented
291C4×#121C2211yescharacteristic, complemented
292C4×#121C2211yescharacteristic, complemented
293C4×#120C2212yescomplemented
294#2297C2212yescomplemented
295#2296C2212yescomplemented
296#2293C2211yescharacteristic
297#2293C2211yescharacteristic, complemented
298C2×#385C2214yescomplemented
299#2280C2212yescomplemented
300C42×D4C2211yescharacteristic, complemented
301C22×#41—216no—
302C22×#41—48no—
303C22×#41—48no—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2314yes—
308C22×#41C2314yes—
309C22×#41C2312yes—
310C22×#41C2312yes—
311C22×#41C2312yes—
312C22×#41C2312yes—
313C22×#41C2312yes—
314C23×Q8C2312yes—
315C23×D4C2314yes—
316C23×D4C2311yescharacteristic
317C23×D4C2312yes—
318C23×D4C2312yes—
319C24×C4C2312yes—
320C24×C4C2314yes—
321#560—232no—
322#556—28no—
323#553—216no—
324#550—28no—
325#550—28no—
326#550—216no—
327D4×Q8—28no—
328#548—216no—
329#547—216no—
330#547—28no—
331#547—28no—
332#547—48no—
333#547—48no—
334#546—216no—
335#546—216no—
336#546—216no—
337#546—232no—
338D42—216no—
339D42D4116yescomplemented
340#542—216no—
341#538—232no—
342#537—216no—
343#536—48no—
344#535—216no—
345#535—216no—
346#532—28no—
347#532—28no—
348#532—216no—
349#532—28no—
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2311yescharacteristic
352C2×C4⋊Q8C2312yes—
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2311yescharacteristic
355C2×C4⋊Q8C2312yes—
356C2×C4⋊Q8C2312yes—
357C2×#127C2314yes—
358C2×#127C2312yes—
359C2×#127C2311yescharacteristic
360C2×#127C2312yes—
361C2×#127C2311yescharacteristic
362#529—28no—
363C2×#126C2312yes—
364C2×#126C2314yes—
365C2×#126C2314yes—
366C2×#125C2311yescharacteristic
367C2×#124C2311yescharacteristic
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2311yescharacteristic
375C2×#124C2311yescharacteristic
376C2×#124C2312yes—
377#525—216no—
378#525—232no—
379#525—48no—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2314yes—
436C2×#121C2312yes—
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#120C2314yes—
442C2×#120C2314yes—
443C2×#120C2314yes—
444C2×#120C2314yes—
445C2×#120C2314yes—
446C2×#120C2314yes—
447C2×#120C2312yes—
448C2×#120C2314yes—
449C4×#41—28no—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×D4—216no—
455C2×C4×D4—28no—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2314yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2311yescharacteristic
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2314yes—
504C22×C4⋊C4C2314yes—
505C22×C22⋊C4C2314yes—
506C22×C22⋊C4C2314yes—
507C22×C22⋊C4C2312yes—
508C22×C22⋊C4C2314yes—
509C22×C42C2312yes—
510C22×C42C2311yescharacteristic
511C22×C42C2311yescharacteristic
512#400C2314yes—
513#400C2314yes—
514#400C2312yes—
515#400C2314yes—
516#399C2312yes—
517#399C2314yes—
518#399C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2312yes—
534#397C2312yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2312yes—
544#397C2312yes—
545#397C2312yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2312yes—
552#396C2312yes—
553#396C2312yes—
554#396C2312yes—
555#395C2312yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2312yes—
568#394C2312yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2312yes—
573#394C2312yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2312yes—
584#394C2312yes—
585#394C2312yes—
586#394C2312yes—
587#394C2312yes—
588#394C2312yes—
589#394C2312yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#393C2314yes—
596#393C2312yes—
597#393C2314yes—
598#392C2312yes—
599#392C2312yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2312yes—
610#392C2312yes—
611#392C2312yes—
612#392C2314yes—
613#392C2314yes—
614#391C2311yescharacteristic
615#391C2312yes—
616#391C2312yes—
617#391C2312yes—
618#391C2314yes—
619#391C2314yes—
620#391C2314yes—
621#391C2312yes—
622#391C2312yes—
623#391C2312yes—
624#391C2311yescharacteristic
625#391C2311yescharacteristic
626#391C2311yescharacteristic
627#391C2312yes—
628#391C2312yes—
629#391C2312yes—
630#391C2312yes—
631#391C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2311yescharacteristic
636#390C2314yes—
637#390C2312yes—
638#390C2312yes—
639#390C2314yes—
640#390C2311yescharacteristic
641#390C2314yes—
642#390C2312yes—
643#390C2312yes—
644#390C2314yes—
645#390C2314yes—
646#390C2311yescharacteristic
647#390C2311yescharacteristic
648#390C2312yes—
649#390C2314yes—
650#390C2311yescharacteristic
651#390C2311yescharacteristic
652#390C2311yescharacteristic
653#390C2311yescharacteristic
654#390C2312yes—
655#390C2312yes—
656#389C2314yes—
657#389C2314yes—
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2311yescharacteristic
668#389C2314yes—
669#389C2314yes—
670#389C2311yescharacteristic
671#389C2311yescharacteristic
672#389C2314yes—
673#389C2311yescharacteristic
674#389C2311yescharacteristic
675#389C2312yes—
676#389C2311yescharacteristic
677#388C2312yes—
678#388C2312yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2312yes—
705#387C2312yes—
706#387C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2312yes—
736#386C2314yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2312yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2312yes—
765#385C2312yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2312yes—
770#385C2312yes—
771#385C2314yes—
772#385C2312yes—
773#384C2311yescharacteristic
774#384C2312yes—
775#384C2312yes—
776#384C2312yes—
777#384C2312yes—
778#384C2312yes—
779#382C2312yes—
780#382C2311yescharacteristic
781#382C2311yescharacteristic
782#381C2314yes—
783#381C2314yes—
784#381C2312yes—
785#381C2312yes—
786#381C2314yes—
787#381C2314yes—
788#381C2314yes—
789#381C2314yes—
790#381C2314yes—
791#381C2312yes—
792#380C2311yescharacteristic
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2311yescharacteristic
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2311yescharacteristic
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2311yescharacteristic
813#379C2314yes—
814#379C2314yes—
815#379C2314yes—
816#379C2314yes—
817#379C2312yes—
818#379C2312yes—
819#379C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2311yescharacteristic
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C2×#95C2314yes—
849C2×#95C2314yes—
850C43C2311yescharacteristic
851C25C2412yes—
852C25C2414yes—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—216no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—216no—
860C2×#41—28no—
861C2×#41—28no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—28no—
865C2×#41—24no—
866C2×#41—28no—
867C2×#41—48no—
868C2×#41—44no—
869C2×#41—44no—
870C2×#41—48no—
871C2×#41—44no—
872C2×#41—48no—
873C2×#41—48no—
874C2×#41—44no—
875C2×#41—44no—
876C2×#41—44no—
877C2×#41—44no—
878C2×#41—44no—
879C2×#41—44no—
880C2×#41—44no—
881C2×#41—44no—
882C2×#41—44no—
883C2×#41—4128no—
884C22×Q8—28no—
885C22×Q8—28no—
886C22×Q8—44no—
887C22×Q8C2412yes—
888C22×Q8C2411yescharacteristic
889C22×Q8C2412yes—
890C22×Q8C2414yes—
891C22×Q8C2411yescharacteristic
892C22×Q8C2412yes—
893C22×D4—216no—
894C22×D4—24no—
895C22×D4—44no—
896C22×D4—44no—
897C22×D4—42no—
898C22×D4—42no—
899C22×D4—44no—
900C22×D4—44no—
901C22×D4—48no—
902C22×D4—48no—
903C22×D4C2×D4116yes—
904C22×D4C2×D4116yes—
905C22×D4C2411yescharacteristic
906C22×D4C2412yes—
907C22×D4C2411yescharacteristic
908C22×D4C2411yescharacteristic
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2412yes—
912C22×D4C2411yescharacteristic
913C22×D4C2412yes—
914C22×D4C2411yescharacteristic
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2412yes—
918C22×D4C2414yes—
919C22×D4C2412yes—
920C22×D4C2414yes—
921C22×D4C2414yes—
922C22×D4C2412yes—
923C22×D4C2412yes—
924C22×D4C2414yes—
925C22×D4C2414yes—
926C22×D4C2414yes—
927C22×D4C2412yes—
928C22×D4C2412yes—
929C22×D4C2414yes—
930C22×D4C2412yes—
931C22×D4C2414yes—
932C22×D4C2414yes—
933C23×C4—216no—
934C23×C4—28no—
935C23×C4—28no—
936C23×C4—44no—
937C23×C4—48no—
938C23×C4—48no—
939C23×C4C2411yescharacteristic
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2411yescharacteristic
943C23×C4C2412yes—
944C23×C4C2411yescharacteristic
945C23×C4C2412yes—
946C23×C4C2414yes—
947C23×C4C2414yes—
948C23×C4C2412yes—
949C23×C4C2412yes—
950C23×C4C2414yes—
951C23×C4C2412yes—
952C23×C4C2412yes—
953C23×C4C2411yescharacteristic
954C23×C4C2411yescharacteristic
955C23×C4C2412yes—
956C23×C4C2414yes—
957C23×C4C2414yes—
958C23×C4C2414yes—
959C23×C4C2414yes—
960C23×C4C2414yes—
961C23×C4C2411yescharacteristic
962C23×C4C2414yes—
963C4⋊Q8—28no—
964C4⋊Q8—24no—
965C4⋊Q8—28no—
966C4⋊Q8—24no—
967C4⋊Q8—24no—
968C4⋊Q8—44no—
969C4⋊Q8—44no—
970#127—24no—
971#127—28no—
972#127—28no—
973#127—216no—
974#127C2×D418yes—
975#126—28no—
976#126—216no—
977#126—216no—
978#125—24no—
979#124—24no—
980#124—24no—
981#124—28no—
982#124—28no—
983#124—216no—
984#124—28no—
985#124—28no—
986#124—216no—
987#124—42no—
988#124—44no—
989#123—216no—
990#123—216no—
991#123—216no—
992#123—216no—
993#123—216no—
994#123—28no—
995#123—216no—
996#123—44no—
997#123—48no—
998#123—48no—
999#123—48no—
1000#123—48no—
1001#123—48no—
1002#123—48no—
1003#123—48no—
1004C22⋊Q8—24no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—24no—
1011C22⋊Q8—216no—
1012C22⋊Q8—216no—
1013C22⋊Q8—216no—
1014C22⋊Q8—48no—
1015C22⋊Q8—48no—
1016C22⋊Q8—42no—
1017C22⋊Q8—44no—
1018C22⋊Q8—44no—
1019C22⋊Q8—44no—
1020#121—216no—
1021#121—28no—
1022#121—216no—
1023#121—24no—
1024#121—28no—
1025#121—28no—
1026#121—24no—
1027#121—28no—
1028#121—216no—
1029#121—28no—
1030#121—216no—
1031#121—28no—
1032#121—28no—
1033#121—216no—
1034#121—216no—
1035#121—216no—
1036#121—216no—
1037#121—28no—
1038#121—24no—
1039#121—24no—
1040#121—28no—
1041#121—216no—
1042#121—48no—
1043#121—48no—
1044#121—48no—
1045#121—44no—
1046#121—42no—
1047#121—44no—
1048#121C2×D4116yes—
1049#121C2×D4116yes—
1050#120—216no—
1051#120—216no—
1052#120—216no—
1053#120—216no—
1054#120—216no—
1055#120—44no—
1056#120—48no—
1057#120C2×D4132yes—
1058C4×Q8—24no—
1059C4×Q8—28no—
1060C4×Q8—24no—
1061C4×Q8—24no—
1062C4×D4—24no—
1063C4×D4—216no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—216no—
1067C4×D4—28no—
1068C4×D4—24no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—24no—
1078C4×D4—24no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—216no—
1082C4×D4—216no—
1083C4×D4—24no—
1084C4×D4—24no—
1085C4×D4—44no—
1086C4×D4—44no—
1087C4×D4—42no—
1088C4×D4—44no—
1089C4×D4—44no—
1090C4×D4—44no—
1091C4×D4—42no—
1092C4×D4—44no—
1093C4×D4—44no—
1094C4×D4—48no—
1095C4×D4—48no—
1096C4×D4C2×D418yes—
1097C4×D4C2×D418yes—
1098#117—28no—
1099#117—28no—
1100#117—24no—
1101#117—28no—
1102#117—44no—
1103#117—44no—
1104#117—44no—
1105#117—44no—
1106C2×C4⋊C4—28no—
1107C2×C4⋊C4—24no—
1108C2×C4⋊C4—28no—
1109C2×C4⋊C4—48no—
1110C2×C4⋊C4—48no—
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⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C22⋊C4—216no—
1165C2×C22⋊C4—216no—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4—48no—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2411yescharacteristic
1217C2×C22⋊C4C2411yescharacteristic
1218C2×C22⋊C4C2411yescharacteristic
1219C2×C22⋊C4C2411yescharacteristic
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2414yes—
1246C2×C42—28no—
1247C2×C42—24no—
1248C2×C42—24no—
1249C2×C42C2411yescharacteristic
1250C2×C42C2412yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253C2×C42C2411yescharacteristic
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2414yes—
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2414yes—
1268C2×C42C2414yes—
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2411yescharacteristic
1282#95C2411yescharacteristic
1283#95C2411yescharacteristic
1284#95C2411yescharacteristic
1285#95C2411yescharacteristic
1286#95C2411yescharacteristic
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#95C2412yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321C24—24no—
1322C24—24no—
1323C24—44no—
1324C24—44no—
1325C24—42no—
1326C24—44no—
1327C24—42no—
1328C24—44no—
1329C24—44no—
1330C24—42no—
1331C24—44no—
1332C24—42no—
1333C24—42no—
1334C24C22×D4116yes—
1335C24C2512yes—
1336C24C2512yes—
1337C24C2511yescharacteristic
1338C24C2512yes—
1339C24C2512yes—
1340C24C2514yes—
1341C24C2511yescharacteristic
1342#41—232no—
1343#41—432no—
1344#41—464no—
1345#41—432no—
1346#41—464no—
1347#41—432no—
1348#41—816no—
1349#41—816no—
1350#41—816no—
1351#41—816no—
1352C2×Q8—22no—
1353C2×Q8—22no—
1354C2×Q8—24no—
1355C2×Q8—28no—
1356C2×Q8—24no—
1357C2×Q8—24no—
1358C2×Q8—22no—
1359C2×Q8—24no—
1360C2×Q8—28no—
1361C2×Q8—24no—
1362C2×Q8—24no—
1363C2×Q8—24no—
1364C2×Q8—22no—
1365C2×Q8—22no—
1366C2×Q8—44no—
1367C2×Q8—42no—
1368C2×Q8—42no—
1369C2×Q8—432no—
1370C2×Q8H(5,𝔽2)14yes—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—28no—
1375C2×D4—28no—
1376C2×D4—28no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—28no—
1380C2×D4—28no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—28no—
1384C2×D4—24no—
1385C2×D4—28no—
1386C2×D4—24no—
1387C2×D4—28no—
1388C2×D4—28no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—28no—
1399C2×D4—22no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—432no—
1408C2×D4—432no—
1409C2×D4—42no—
1410C2×D4—41no—
1411C2×D4—42no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—44no—
1425C2×D4—42no—
1426C2×D4—44no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—42no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—42no—
1442C2×D4—42no—
1443C2×D4—42no—
1444C2×D4—42no—
1445C2×D4—42no—
1446C2×D4—44no—
1447C2×D4—42no—
1448C2×D4—42no—
1449C2×D4—44no—
1450C2×D4—416no—
1451C2×D4—464no—
1452C2×D4C22×D414yes—
1453C2×D4C22×D418yes—
1454C2×D4C22×D414yes—
1455C2×D4C22×D418yes—
1456C2×D4C22×D4116yes—
1457C2×D4C22×D418yes—
1458C2×D4C22×D4116yes—
1459C22×C4—24no—
1460C22×C4—22no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—22no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—28no—
1469C22×C4—24no—
1470C22×C4—28no—
1471C22×C4—28no—
1472C22×C4—28no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—28no—
1476C22×C4—28no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—28no—
1485C22×C4—28no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—28no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—24no—
1496C22×C4—22no—
1497C22×C4—24no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—22no—
1501C22×C4—28no—
1502C22×C4—28no—
1503C22×C4—42no—
1504C22×C4—44no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—432no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—41no—
1519C22×C4—41no—
1520C22×C4—44no—
1521C22×C4—44no—
1522C22×C4—44no—
1523C22×C4—42no—
1524C22×C4—41no—
1525C22×C4—41no—
1526C22×C4—42no—
1527C22×C4—44no—
1528C22×C4—44no—
1529C22×C4—464no—
1530C22×C4C22×D418yes—
1531C22×C4C22×D418yes—
1532C22×C4H(5,𝔽2)14yes—
1533C22×C4C2511yescharacteristic
1534C22×C4C2512yes—
1535C22×C4C2512yes—
1536C22×C4C2512yes—
1537C22×C4C2511yescharacteristic
1538C22×C4C2512yes—
1539C22×C4C2512yes—
1540C22×C4C2514yes—
1541C22×C4C2512yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2512yes—
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C22×C4C2512yes—
1547C22×C4C2511yescharacteristic
1548C22×C4C2512yes—
1549C22×C4C2514yes—
1550C22×C4C2511yescharacteristic
1551C22×C4C2511yescharacteristic
1552C22×C4C2514yes—
1553C22×C4C2512yes—
1554C22×C4C2511yescharacteristic
1555C22×C4C2512yes—
1556C22×C4C2511yescharacteristic
1557C22×C4C2512yes—
1558C22×C4C2511yescharacteristic
1559C22×C4C2511yescharacteristic
1560C22×C4C2511yescharacteristic
1561C4⋊C4—22no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—28no—
1566C4⋊C4—28no—
1567C4⋊C4—22no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—22no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—22no—
1574C4⋊C4—24no—
1575C4⋊C4—28no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—28no—
1580C4⋊C4—24no—
1581C4⋊C4—22no—
1582C4⋊C4—24no—
1583C4⋊C4—28no—
1584C4⋊C4—28no—
1585C4⋊C4—22no—
1586C4⋊C4—24no—
1587C4⋊C4—22no—
1588C4⋊C4—28no—
1589C4⋊C4—22no—
1590C4⋊C4—24no—
1591C4⋊C4—22no—
1592C4⋊C4—22no—
1593C4⋊C4—42no—
1594C4⋊C4—44no—
1595C4⋊C4—44no—
1596C4⋊C4—44no—
1597C4⋊C4—42no—
1598C4⋊C4—42no—
1599C4⋊C4—42no—
1600C4⋊C4—42no—
1601C4⋊C4—42no—
1602C4⋊C4—42no—
1603C4⋊C4—41no—
1604C4⋊C4—42no—
1605C4⋊C4—44no—
1606C4⋊C4—44no—
1607C4⋊C4—42no—
1608C4⋊C4—44no—
1609C4⋊C4—44no—
1610C4⋊C4—42no—
1611C4⋊C4—44no—
1612C4⋊C4C22×D414yes—
1613C4⋊C4C22×D414yes—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—28no—
1618C22⋊C4—28no—
1619C22⋊C4—28no—
1620C22⋊C4—28no—
1621C22⋊C4—28no—
1622C22⋊C4—24no—
1623C22⋊C4—28no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—28no—
1627C22⋊C4—28no—
1628C22⋊C4—28no—
1629C22⋊C4—28no—
1630C22⋊C4—22no—
1631C22⋊C4—28no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—28no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—22no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—44no—
1655C22⋊C4—42no—
1656C22⋊C4—42no—
1657C22⋊C4—42no—
1658C22⋊C4—42no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—42no—
1662C22⋊C4—42no—
1663C22⋊C4—44no—
1664C22⋊C4—41no—
1665C22⋊C4—44no—
1666C22⋊C4—41no—
1667C22⋊C4—41no—
1668C22⋊C4—41no—
1669C22⋊C4—44no—
1670C22⋊C4—42no—
1671C22⋊C4—42no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—42no—
1677C22⋊C4—42no—
1678C22⋊C4—42no—
1679C22⋊C4—44no—
1680C22⋊C4—42no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—42no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—42no—
1687C22⋊C4—42no—
1688C22⋊C4—42no—
1689C22⋊C4C22×D418yes—
1690C22⋊C4C22×D418yes—
1691C22⋊C4C22×D4116yes—
1692C42—22no—
1693C42—24no—
1694C42—22no—
1695C42—22no—
1696C42—22no—
1697C42—24no—
1698C42—22no—
1699C42—24no—
1700C42—22no—
1701C42—24no—
1702C42—28no—
1703C42—22no—
1704C42—24no—
1705C42—22no—
1706C42—22no—
1707C42—24no—
1708C42—22no—
1709C42—22no—
1710C42—41no—
1711C42—44no—
1712C42—44no—
1713C42C22×D414yes—
1714C23—21no—
1715C23—22no—
1716C23—22no—
1717C23—24no—
1718C23—24no—
1719C23—22no—
1720C23—22no—
1721C23—21no—
1722C23—22no—
1723C23—22no—
1724C23—21no—
1725C23—21no—
1726C23—22no—
1727C23—22no—
1728C23—21no—
1729C23—24no—
1730C23—24no—
1731C23—24no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—24no—
1736C23—22no—
1737C23—21no—
1738C23—22no—
1739C23—21no—
1740C23—22no—
1741C23—22no—
1742C23—21no—
1743C23—21no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—21no—
1752C23—22no—
1753C23—21no—
1754C23—22no—
1755C23—21no—
1756C23—21no—
1757C23—22no—
1758C23—22no—
1759C23—416no—
1760C23—416no—
1761C23—416no—
1762C23—48no—
1763C23—48no—
1764C23—84no—
1765C23—84no—
1766C23—84no—
1767C23—88no—
1768C23—88no—
1769C23—84no—
1770C23—88no—
1771C23—84no—
1772C23—88no—
1773C23C23×D414yes—
1774C23C23×D414yes—
1775C23C23×D418yes—
1776C23C2×H(5,𝔽2)12yes—
1777C23C2611yescharacteristic
1778Q8—28no—
1779Q8—416no—
1780Q8—48no—
1781Q8—48no—
1782Q8—44no—
1783Q8—84no—
1784D4—216no—
1785D4—28no—
1786D4—216no—
1787D4—28no—
1788D4—216no—
1789D4—416no—
1790D4—416no—
1791D4—48no—
1792D4—44no—
1793D4—416no—
1794D4—416no—
1795D4—48no—
1796D4—48no—
1797D4—416no—
1798D4—44no—
1799D4—44no—
1800D4—84no—
1801D4—84no—
1802D4—88no—
1803D4—88no—
1804D4—84no—
1805D4—88no—
1806D4—88no—
1807D4—84no—
1808D4—84no—
1809D4—88no—
1810D4—88no—
1811D4—84no—
1812C2×C4—216no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—28no—
1826C2×C4—216no—
1827C2×C4—216no—
1828C2×C4—21no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—24no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—24no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—24no—
1847C2×C4—22no—
1848C2×C4—24no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—22no—
1852C2×C4—24no—
1853C2×C4—24no—
1854C2×C4—22no—
1855C2×C4—24no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—24no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—24no—
1871C2×C4—21no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—21no—
1879C2×C4—22no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—21no—
1886C2×C4—22no—
1887C2×C4—21no—
1888C2×C4—48no—
1889C2×C4—48no—
1890C2×C4—416no—
1891C2×C4—416no—
1892C2×C4—416no—
1893C2×C4—48no—
1894C2×C4—416no—
1895C2×C4—48no—
1896C2×C4—44no—
1897C2×C4—44no—
1898C2×C4—48no—
1899C2×C4—44no—
1900C2×C4—82no—
1901C2×C4—82no—
1902C2×C4—88no—
1903C2×C4—88no—
1904C2×C4—84no—
1905C2×C4—88no—
1906C2×C4—88no—
1907C2×C4—88no—
1908C2×C4C23×D414yes—
1909C2×C4C23×D412yes—
1910C2×C4C23×D414yes—
1911C2×C4C23×D412yes—
1912C2×C4C23×D412yes—
1913C2×C4C2×H(5,𝔽2)12yes—
1914C2×C4C2×H(5,𝔽2)14yes—
1915C2×C4C2×H(5,𝔽2)12yes—
1916C2×C4C2×H(5,𝔽2)12yes—
1917C2×C4#58512yes—
1918C2×C4#58512yes—
1919C2×C4#58512yes—
1920C22—24no—
1921C22—28no—
1922C22—24no—
1923C22—22no—
1924C22—24no—
1925C22—24no—
1926C22—22no—
1927C22—28no—
1928C22—24no—
1929C22—28no—
1930C22—24no—
1931C22—22no—
1932C22—41no—
1933C22—44no—
1934C22—42no—
1935C22—42no—
1936C22—44no—
1937C22—42no—
1938C22—41no—
1939C22—42no—
1940C22—41no—
1941C22—44no—
1942C22—41no—
1943C22—42no—
1944C22—42no—
1945C22—44no—
1946C22—42no—
1947C22—42no—
1948C22—41no—
1949C22—42no—
1950C22—42no—
1951C22—41no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—41no—
1956C22—42no—
1957C22—41no—
1958C22—42no—
1959C22—42no—
1960C22—41no—
1961C22—42no—
1962C22—42no—
1963C22—42no—
1964C22—41no—
1965C22—42no—
1966C22—42no—
1967C22—41no—
1968C22—42no—
1969C22—832no—
1970C22—816no—
1971C22C24×D411yescharacteristic
1972C22C22×H(5,𝔽2)11yescharacteristic
1973C22C22×H(5,𝔽2)11yescharacteristic
1974C22C2×#58511yescharacteristic
1975C22C2×#58511yescharacteristic
1976C22C2×#58511yescharacteristic
1977C222−1+611yescharacteristic
1978C4—22no—
1979C4—22no—
1980C4—22no—
1981C4—24no—
1982C4—24no—
1983C4—24no—
1984C4—41no—
1985C4—42no—
1986C4—41no—
1987C4—42no—
1988C4—44no—
1989C4—42no—
1990C4—44no—
1991C4—41no—
1992C4—44no—
1993C4—41no—
1994C4—42no—
1995C4—42no—
1996C4—42no—
1997C4—41no—
1998C4—41no—
1999C4—42no—
2000C4—41no—
2001C4—42no—
2002C4—41no—
2003C4—42no—
2004C4#348414yes—
2005C4#348514yes—
2006C2—48no—
2007C2—44no—
2008C2—42no—
2009C2—44no—
2010C2—81no—
2011C2—82no—
2012C2—82no—
2013C2#6274811yescharacteristic
2014C2C2×#348411yescharacteristic
2015C2C2×#348511yescharacteristic
2016C2#6292211yescharacteristic
2017C2#6292511yescharacteristic
2018C2#6298811yescharacteristic
2019C2#6302211yescharacteristic
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×#3546C2semidirect
2. C2×D4×#41C2semidirect
3. #59419C2semidirect
4. #59117C2semidirect
5. #59066C2semidirect
6. #59033C2semidirect
7. #58999C2semidirect
8. #47931C2semidirect
9. #47828C2semidirect
10. #45440C2semidirect
11. #45255C2semidirect
12. #45241C2semidirect
13. #45095C2semidirect
14. #44869C2semidirect
15. #42673C2semidirect
16. #42474C2semidirect
17. #42435C2semidirect
18. #42420C2semidirect
19. #39488C2semidirect
20. #39471C2semidirect
21. #39360C2semidirect
22. #38911C2semidirect
23. #37788C2semidirect
24. #37780C2semidirect
25. #37668C2semidirect
26. #36405C2semidirect
27. #36237C2semidirect
28. #36213C2semidirect
29. #36127C2semidirect
30. #36100C2semidirect
31. #35152C2semidirect
32. #35149C2semidirect
33. #34715C2semidirect
34. #34700C2semidirect
35. #34493C2semidirect
38. C2×#560C22semidirect
39. C2×#556C22semidirect
40. C2×#553C22semidirect
43. C2×#550C22semidirect
44. C2×#550C22semidirect
50. C2×#547C22semidirect
51. C2×#547C22semidirect
55. C2×#546C22semidirect
58. C2×#542C22semidirect
59. C2×#538C22semidirect
60. C2×#537C22semidirect
61. C2×#536C22semidirect
63. C2×#535C22semidirect
66. C2×#532C22semidirect
67. C2×#532C22semidirect
71. C2×#525C22semidirect
75. #2868C22semidirect
76. #2857C22semidirect
77. #2857C22semidirect
78. #2855C22semidirect
79. #2849C22semidirect
80. #2849C22semidirect
81. #2849C22semidirect
82. #2848C22semidirect
83. #2812C22semidirect
84. #2812C22semidirect
85. #2724C22semidirect
86. #2718C22semidirect
87. #2718C22semidirect
88. #2710C22semidirect
89. #2708C22semidirect
90. #2708C22semidirect
91. #2703C22semidirect
92. #2701C22semidirect
93. #2701C22semidirect
94. #2701C22semidirect
95. #2700C22semidirect
96. #2699C22semidirect
97. #2699C22semidirect
98. #2697C22semidirect
99. #2695C22semidirect
100. #2689C22semidirect
101. #2689C22semidirect
102. #2688C22semidirect
103. #2688C22semidirect
104. #2687C22semidirect
105. #2687C22semidirect
106. #2686C22semidirect
107. #2684C22semidirect
108. #2682C22semidirect
109. #2681C22semidirect
110. #2680C22semidirect
111. #2680C22semidirect
112. #2678C22semidirect
113. #2676C22semidirect
114. #2673C22semidirect
115. #2671C22semidirect
116. #2671C22semidirect
117. #2669C22semidirect
118. #2625C22semidirect
119. #2622C22semidirect
120. #2622C22semidirect
121. #2622C22semidirect
122. #2621C22semidirect
123. #2620C22semidirect
124. #2617C22semidirect
125. #2615C22semidirect
126. #2613C22semidirect
127. #2613C22semidirect
128. #2582C22semidirect
129. #2568C22semidirect
130. #2550C22semidirect
131. #2549C22semidirect
132. #2547C22semidirect
133. #2547C22semidirect
134. #2546C22semidirect
135. #2544C22semidirect
136. #2543C22semidirect
137. #2542C22semidirect
138. #2540C22semidirect
139. #2537C22semidirect
140. #2537C22semidirect
141. #2537C22semidirect
142. #2535C22semidirect
143. #2521C22semidirect
144. #2502C22semidirect
145. #2500C22semidirect
146. #2492C22semidirect
147. #2492C22semidirect
148. #2487C22semidirect
149. #2485C22semidirect
150. #2483C22semidirect
151. #2480C22semidirect
152. #2478C22semidirect
153. #2476C22semidirect
154. #2474C22semidirect
155. #2468C22semidirect
156. #2468C22semidirect
157. #2468C22semidirect
158. #2464C22semidirect
159. #2461C22semidirect
160. #2459C22semidirect
161. #2457C22semidirect
162. #2456C22semidirect
163. #2456C22semidirect
164. #2455C22semidirect
165. #2455C22semidirect
166. #2454C22semidirect
167. #2451C22semidirect
168. #2450C22semidirect
169. #2449C22semidirect
172. #2447C22semidirect
173. #2447C22semidirect
174. #2447C22semidirect
175. #2447C22semidirect
176. #2445C22semidirect
177. #2445C22semidirect
178. #2445C22semidirect
179. #2445C22semidirect
180. #2444C22semidirect
181. #2443C22semidirect
182. #2443C22semidirect
183. #2443C22semidirect
184. #2442C22semidirect
185. #2440C22semidirect
186. #2440C22semidirect
187. #2439C22semidirect
189. #2434C22semidirect
191. #2432C22semidirect
192. #2432C22semidirect
193. #2432C22semidirect
194. #2432C22semidirect
195. #2432C22semidirect
196. #2432C22semidirect
198. #2431C22semidirect
199. #2431C22semidirect
200. #2431C22semidirect
201. #2431C22semidirect
202. #2430C22semidirect
203. #2430C22semidirect
204. #2429C22semidirect
205. #2429C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
209. #2427C22semidirect
210. #2427C22semidirect
211. #2426C22semidirect
215. #2422C22semidirect
216. #2422C22semidirect
217. #2422C22semidirect
218. #2422C22semidirect
219. #2422C22semidirect
222. #2420C22semidirect
223. #2420C22semidirect
224. #2420C22semidirect
225. #2420C22semidirect
226. #2419C22semidirect
227. #2419C22semidirect
228. #2418C22semidirect
229. #2418C22semidirect
230. #2417C22semidirect
231. #2415C22semidirect
232. #2415C22semidirect
233. #2415C22semidirect
234. #2414C22semidirect
235. #2414C22semidirect
236. #2412C22semidirect
237. #2410C22semidirect
238. #2409C22semidirect
242. #2407C22semidirect
243. #2407C22semidirect
244. #2407C22semidirect
245. #2407C22semidirect
246. #2407C22semidirect
247. #2407C22semidirect
248. #2407C22semidirect
249. #2407C22semidirect
250. #2406C22semidirect
251. #2406C22semidirect
252. #2405C22semidirect
253. #2395C22semidirect
254. #2392C22semidirect
255. #2392C22semidirect
256. #2388C22semidirect
257. #2375C22semidirect
258. #2366C22semidirect
259. #2365C22semidirect
260. #2363C22semidirect
261. #2363C22semidirect
262. #2362C22semidirect
263. #2361C22semidirect
264. #2361C22semidirect
266. #2354C22semidirect
267. D4×C4⋊C4C22semidirect
268. D4×C4⋊C4C22semidirect
269. D4×C4⋊C4C22semidirect
270. D4×C4⋊C4C22semidirect
271. #2339C22semidirect
272. #2339C22semidirect
273. #2339C22semidirect
274. #2339C22semidirect
276. D4×C22⋊C4C22semidirect
277. #2324C22semidirect
278. #2324C22semidirect
279. #2321C22semidirect
280. #2317C22semidirect
281. #2311C22semidirect
282. #2310C22semidirect
284. #2309C22semidirect
285. C4×#127C22semidirect
286. C4×#124C22semidirect
287. C4×#124C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×#123C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
293. C4×#120C22semidirect
294. #2297C22semidirect
295. #2296C22semidirect
297. #2293C22semidirect
298. C2×#385C22semidirect
299. #2280C22semidirect
300. C42×D4C22semidirect
339. D42D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35462
C2×D4×#412
#594192
#591172
#590662
#590332
#589992
#479312
#478282
#454402
#452552
#452412
#450952
#448692
#426732
#424742
#424352
#424202
#394882
#394712
#393602
#389112
#377882
#377802
#376682
#364052
#362372
#362132
#361272
#361002
#351522
#351492
#347152
#347002
#344932