Finite Group Databasebeta

← #7689419

Subgroups — #7689419

Order 512.

7367 conjugacy classes of subgroups.

The subgroup lattice has 1935 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#59824C212yesmaximal, complemented
4#59823C211yesmaximal, characteristic, complemented
5#59139C212yesmaximal, complemented
6#59102C212yesmaximal, complemented
7#59079C211yesmaximal, characteristic, complemented
8#59057C211yesmaximal, characteristic, complemented
9#59054C212yesmaximal, complemented
10#59019C214yesmaximal, complemented
11#45187C212yesmaximal, complemented
12#44892C212yesmaximal, complemented
13#43548C214yesmaximal, complemented
14#43045C214yesmaximal, complemented
15#39948C212yesmaximal, complemented
16#39881C212yesmaximal, complemented
17#39362C211yesmaximal, characteristic, complemented
18#38910C211yesmaximal, characteristic, complemented
19#37801C214yesmaximal, complemented
20#37799C212yesmaximal, complemented
21#36538C211yesmaximal, characteristic, complemented
22#36505C211yesmaximal, characteristic, complemented
23#36493C211yesmaximal, characteristic, complemented
24#36440C212yesmaximal, complemented
25#36404C211yesmaximal, characteristic, complemented
26#36162C212yesmaximal, complemented
27#36150C211yesmaximal, characteristic, complemented
28#36112C212yesmaximal, complemented
29#36015C212yesmaximal, complemented
30#35793C212yesmaximal, complemented
31#34724C211yesmaximal, characteristic, complemented
32#34700C212yesmaximal, complemented
33#34317C211yesmaximal, characteristic, complemented
34#34265C212yesmaximal, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36#3515—216no—
37#3481—216no—
38C2×#559C2211yescharacteristic
39C2×#557C2211yescharacteristic, complemented
40C2×#554C2211yescharacteristic
41C2×#554C2211yescharacteristic
42C2×#554C2211yescharacteristic, complemented
43C2×#553C2212yes—
44C2×#553C2212yes—
45C2×#553C2212yes—
46C2×#552C2214yescomplemented
47C2×#552C2212yescomplemented
48C2×#552C2212yescomplemented
49C2×#551C2214yes—
50C2×#550C2211yescharacteristic
51C2×#547C2211yescharacteristic
52C2×#547C2212yescomplemented
53C2×#546C2212yes—
54C2×#546C2212yes—
55C2×D42C2211yescharacteristic
56C2×#541C2212yescomplemented
57C2×#539C2214yescomplemented
58C2×#535C2212yes—
59C2×#533C2211yescharacteristic, complemented
60C2×#532C2211yescharacteristic
61C2×#529C2212yes—
62C2×#529C2212yes—
63C2×#529C2211yescharacteristic
64C2×#529C2212yes—
65C22×#125C2212yescomplemented
66C2×#525C2214yes—
67C2×#520C2212yescomplemented
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic, complemented
71C22×C4×D4C2212yes—
72C22×C4×D4C2212yes—
73#2861C2212yescomplemented
74#2858C2211yescharacteristic
75#2857C2211yescharacteristic, complemented
76#2856C2211yescharacteristic
77#2855C2212yescomplemented
78#2851C2212yescomplemented
79#2850C2212yescomplemented
80#2849C2214yescomplemented
81#2732C2214yescomplemented
82#2730C2214yescomplemented
83#2728C2214yescomplemented
84#2725C2214yescomplemented
85#2721C2214yescomplemented
86#2718C2214yescomplemented
87#2718C2214yescomplemented
88#2711C2214yescomplemented
89#2706C2214yescomplemented
90#2703C2214yescomplemented
91#2694C2214yescomplemented
92#2685C2214yes—
93#2685C2214yescomplemented
94#2685C2214yescomplemented
95#2682C2214yescomplemented
96#2678C2214yes—
97#2678C2214yes—
98#2678C2214yes—
99#2678C2214yescomplemented
100#2673C2214yescomplemented
101#2669C2214yescomplemented
102#2661C2214yescomplemented
103#2635C2214yescomplemented
104#2624C2212yes—
105#2620C2212yes—
106#2602C2214yescomplemented
107#2600C2214yescomplemented
108#2568C2211yescharacteristic, complemented
109#2566C2212yescomplemented
110#2562C2212yescomplemented
111#2558C2214yescomplemented
112#2558C2214yescomplemented
113#2558C2214yescomplemented
114#2558C2214yescomplemented
115#2554C2214yescomplemented
116#2554C2214yescomplemented
117#2552C2212yescomplemented
118#2548C2211yescharacteristic
119#2547C2211yescharacteristic
120#2545C2212yescomplemented
121#2545C2212yescomplemented
122#2545C2212yescomplemented
123#2542C2212yescomplemented
124#2541C2211yescharacteristic
125#2540C2212yes—
126#2540C2212yescomplemented
127#2540C2212yescomplemented
128#2540C2212yescomplemented
129#2538C2211yescharacteristic
130#2538C2214yescomplemented
131#2538C2211yescharacteristic, complemented
132#2536C2212yescomplemented
133#2535C2212yescomplemented
134#2519C2214yescomplemented
135#2512C2214yescomplemented
136#2500C2214yescomplemented
137#2490C2212yes—
138#2490C2212yescomplemented
139#2490C2214yescomplemented
140#2490C2212yescomplemented
141#2489C2212yescomplemented
142#2489C2212yescomplemented
143#2482C2214yescomplemented
144#2481C2214yescomplemented
145#2481C2214yescomplemented
146#2480C2214yescomplemented
147#2480C2214yescomplemented
148#2479C2214yescomplemented
149#2478C2212yescomplemented
150#2475C2214yescomplemented
151#2475C2214yescomplemented
152#2471C2214yescomplemented
153#2471C2214yescomplemented
154#2471C2214yescomplemented
155#2470C2214yescomplemented
156#2470C2212yescomplemented
157#2468C2214yescomplemented
158#2467C2214yescomplemented
159#2467C2214yescomplemented
160#2466C2214yescomplemented
161#2466C2212yescomplemented
162#2460C2214yescomplemented
163#2460C2214yescomplemented
164#2460C2214yescomplemented
165#2457C2214yescomplemented
166#2457C2214yescomplemented
167#2456C2214yescomplemented
168#2456C2214yescomplemented
169#2455C2212yescomplemented
170#2454C2212yes—
171#2454C2212yescomplemented
172#2454C2212yescomplemented
173#2454C2212yescomplemented
174#2453C2211yescharacteristic, complemented
175#2453C2212yescomplemented
176#2448C2212yescomplemented
177#2448C2212yescomplemented
178#2447C2211yescharacteristic
179#2446C2212yescomplemented
180#2443C2214yescomplemented
181#2443C2214yescomplemented
182#2442C2212yescomplemented
183#2441C2211yescharacteristic, complemented
184#2441C2214yescomplemented
185#2435C2212yes—
186#2435C2212yes—
187#2432C2212yes—
188#2432C2211yescharacteristic
189#2431C2212yes—
190#2431C2212yescomplemented
191#2429C2211yescharacteristic, complemented
192#2428C2212yescomplemented
193#2427C2212yes—
194#2427C2212yescomplemented
195#2427C2212yescomplemented
196#2426C2212yescomplemented
197#2426C2212yescomplemented
198#2424C2214yescomplemented
199#2422C2211yescharacteristic
200#2421C2214yescomplemented
201#2420C2212yes—
202#2418C2214yescomplemented
203#2417C2212yescomplemented
204#2417C2212yescomplemented
205#2416C2212yes—
206#2416C2212yes—
207#2416C2212yescomplemented
208#2416C2214yescomplemented
209#2415C2212yescomplemented
210#2415C2212yescomplemented
211#2415C2211yescharacteristic, complemented
212#2414C2212yes—
213#2414C2212yescomplemented
214#2414C2214yescomplemented
215#2411C2214yescomplemented
216#2408C2212yes—
217#2408C2212yes—
218#2408C2212yes—
219#2408C2212yes—
220#2407C2211yescharacteristic
221#2407C2212yes—
222#2407C2212yescomplemented
223#2407C2212yescomplemented
224#2407C2214yescomplemented
225#2395C2214yescomplemented
226#2395C2212yescomplemented
227#2392C2214yescomplemented
228#2392C2212yescomplemented
229#2370C2212yescomplemented
230#2369C2211yescharacteristic, complemented
231#2367C2212yes—
232#2367C2212yes—
233#2367C2212yescomplemented
234#2367C2212yescomplemented
235#2367C2212yescomplemented
236#2366C2212yes—
237#2366C2211yescharacteristic
238#2366C2212yescomplemented
239#2366C2212yescomplemented
240#2366C2212yescomplemented
241#2363C2211yescharacteristic
242#2363C2214yescomplemented
243#2363C2212yescomplemented
244#2363C2212yescomplemented
245#2363C2212yescomplemented
246#2363C2212yescomplemented
247#2363C2211yescharacteristic, complemented
248#2363C2214yescomplemented
249#2362C2214yescomplemented
250#2362C2212yescomplemented
251#2362C2212yescomplemented
252#2361C2214yescomplemented
253#2361C2212yescomplemented
254#2361C2214yescomplemented
255#2360C2212yescomplemented
256#2357C2212yes—
257#2355C2211yescharacteristic, complemented
258#2354C2211yescharacteristic
259#2354C2212yescomplemented
260#2354C2211yescharacteristic, complemented
261#2352C2212yescomplemented
262#2352C2214yescomplemented
263#2352C2212yescomplemented
264Q8×C4⋊C4C2211yescharacteristic, complemented
265D4×C4⋊C4C2212yescomplemented
266#2344C2212yescomplemented
267#2341C2211yescharacteristic
268#2341C2212yescomplemented
269#2341C2211yescharacteristic, complemented
270#2332C2214yescomplemented
271#2323C2212yescomplemented
272#2321C2214yescomplemented
273#2321C2214yescomplemented
274#2309C2212yes—
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×#127C2211yescharacteristic
278C4×#127C2212yescomplemented
279C4×#125C2212yescomplemented
280C4×#124C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×#123C2212yescomplemented
285C4×#121C2211yescharacteristic
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2211yescharacteristic, complemented
289C4×#121C2212yescomplemented
290C4×#120C2214yescomplemented
291C4×#120C2214yescomplemented
292#2297C2212yescomplemented
293#2296C2212yescomplemented
294#2293C2212yes—
295#2293C2211yescharacteristic
296#2280C2214yescomplemented
297#2274C2212yescomplemented
298C42×Q8C2211yescharacteristic, complemented
299C42×D4C2212yescomplemented
300C42×D4C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C23×D4C2312yes—
307C23×D4C2312yes—
308C24×C4C2314yes—
309#559—28no—
310#557—28no—
311#554—28no—
312#554—28no—
313#554D4116yescomplemented
314#553—216no—
315#553—216no—
316#553—216no—
317#552—216no—
318#552—232no—
319#552—216no—
320#551—232no—
321#550—28no—
322#547—216no—
323#547—28no—
324#546—216no—
325#546—216no—
326D42—28no—
327#541—216no—
328#539—232no—
329#535—216no—
330#533—28no—
331#532—28no—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×#127C2312yes—
337C2×#127C2311yescharacteristic
338C2×#127C2312yes—
339C2×#127C2311yescharacteristic
340#529—216no—
341#529—216no—
342#529—216no—
343#529—28no—
344C2×#126C2314yes—
345C2×#126C2312yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#125—216no—
351C2×#125C2312yes—
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#125C2314yes—
355C2×#125C2314yes—
356C2×#125C2312yes—
357C2×#125C2314yes—
358C2×#125C2314yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2311yescharacteristic
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369#525—232no—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2311yescharacteristic
398C2×#121C2311yescharacteristic
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2312yes—
404C2×#121C2311yescharacteristic
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421#520—216no—
422C4×#41—28no—
423C4×#41—28no—
424C4×#41—28no—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×D4—216no—
439C2×C4×D4—216no—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2312yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2314yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2311yescharacteristic
481C2×#117C2312yes—
482C2×#117C2314yes—
483C2×#117C2311yescharacteristic
484C2×#117C2311yescharacteristic
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2314yes—
488C2×#117C2314yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2314yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2314yes—
496C22×C4⋊C4C2314yes—
497C22×C4⋊C4C2312yes—
498C22×C22⋊C4C2314yes—
499C22×C22⋊C4C2314yes—
500C22×C42C2312yes—
501C22×C42C2312yes—
502C22×C42C2312yes—
503C22×C42C2311yescharacteristic
504C22×C42C2311yescharacteristic
505#400C2314yes—
506#400C2314yes—
507#400C2314yes—
508#400C2314yes—
509#400C2312yes—
510#399C2314yes—
511#399C2314yes—
512#399C2314yes—
513#399C2312yes—
514#399C2314yes—
515#399C2314yes—
516#399C2314yes—
517#398C2314yes—
518#398C2312yes—
519#398C2314yes—
520#398C2312yes—
521#398C2314yes—
522#398C2314yes—
523#397C2312yes—
524#397C2314yes—
525#397C2314yes—
526#397C2312yes—
527#397C2312yes—
528#397C2312yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2312yes—
540#396C2314yes—
541#396C2314yes—
542#396C2312yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2312yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2312yes—
557#394C2314yes—
558#394C2312yes—
559#394C2314yes—
560#394C2312yes—
561#394C2312yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2312yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#391C2312yes—
584#391C2311yescharacteristic
585#391C2311yescharacteristic
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2314yes—
591#391C2311yescharacteristic
592#391C2312yes—
593#391C2312yes—
594#391C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2311yescharacteristic
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2311yescharacteristic
606#390C2312yes—
607#390C2314yes—
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2311yescharacteristic
621#390C2312yes—
622#390C2314yes—
623#390C2314yes—
624#390C2314yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2311yescharacteristic
629#390C2312yes—
630#390C2314yes—
631#390C2312yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2314yes—
635#390C2314yes—
636#389C2311yescharacteristic
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2314yes—
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2312yes—
648#389C2314yes—
649#389C2311yescharacteristic
650#389C2312yes—
651#389C2312yes—
652#389C2314yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2314yes—
661#389C2311yescharacteristic
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2314yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2314yes—
698#388C2312yes—
699#388C2314yes—
700#388C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2312yes—
712#387C2312yes—
713#387C2314yes—
714#387C2312yes—
715#387C2312yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2314yes—
732#386C2312yes—
733#386C2312yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2314yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#384C2311yescharacteristic
760#384C2312yes—
761#384C2311yescharacteristic
762#384C2311yescharacteristic
763#384C2314yes—
764#382C2312yes—
765#382C2312yes—
766#382C2314yes—
767#381C2314yes—
768#381C2314yes—
769#381C2312yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2312yes—
778#380C2312yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#379C2314yes—
789#379C2314yes—
790#379C2314yes—
791#379C2314yes—
792#379C2314yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2312yes—
845C43C2312yes—
846C43C2311yescharacteristic
847C25C2414yes—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—28no—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—42no—
859C2×#41—42no—
860C2×#41—42no—
861C2×#41—42no—
862C2×#41—82no—
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×D4—28no—
869C22×D4—28no—
870C22×D4—28no—
871C22×D4—44no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C23×C4—216no—
897C23×C4—48no—
898C23×C4—84no—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2414yes—
907C23×C4C2412yes—
908C23×C4C2414yes—
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2412yes—
917C23×C4C2414yes—
918C23×C4C2411yescharacteristic
919C23×C4C2414yes—
920C4⋊Q8—28no—
921C4⋊Q8—24no—
922C4⋊Q8—42no—
923C4⋊Q8C2×D418yes—
924#127—28no—
925#127—28no—
926#127—24no—
927#127#4118yescomplemented
928#126—216no—
929#126—216no—
930#126—216no—
931#126—216no—
932#126—28no—
933#126—216no—
934#125—24no—
935#125—28no—
936#125—216no—
937#125—216no—
938#125—28no—
939#125—216no—
940#125—216no—
941#125—28no—
942#125—28no—
943#125C2×D4116yes—
944#124—28no—
945#124—28no—
946#124—24no—
947#124—28no—
948#124—28no—
949#124—28no—
950#124—44no—
951#124—44no—
952#123—216no—
953#123—216no—
954#123—216no—
955#123—216no—
956#123—216no—
957#123—28no—
958#123—216no—
959#123—216no—
960#123—216no—
961#123—44no—
962C22⋊Q8—216no—
963C22⋊Q8—28no—
964C22⋊Q8—216no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—24no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—44no—
971C22⋊Q8—42no—
972C22⋊Q8—42no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975C22⋊Q8C2×D4132yes—
976C22⋊Q8C2×D4116yes—
977#121—28no—
978#121—24no—
979#121—216no—
980#121—216no—
981#121—24no—
982#121—24no—
983#121—28no—
984#121—28no—
985#121—216no—
986#121—28no—
987#121—216no—
988#121—28no—
989#121—28no—
990#121—28no—
991#121—216no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—44no—
996#121—82no—
997#121—84no—
998#120—216no—
999#120—216no—
1000#120—216no—
1001#120—216no—
1002#120—84no—
1003C4×Q8—24no—
1004C4×Q8—24no—
1005C4×Q8—28no—
1006C4×Q8—24no—
1007C4×Q8—28no—
1008C4×Q8—28no—
1009C4×Q8—24no—
1010C4×Q8—28no—
1011C4×Q8—24no—
1012C4×Q8—24no—
1013C4×Q8—42no—
1014C4×Q8—82no—
1015C4×Q8C2×D418yes—
1016C4×D4—24no—
1017C4×D4—28no—
1018C4×D4—216no—
1019C4×D4—28no—
1020C4×D4—216no—
1021C4×D4—216no—
1022C4×D4—28no—
1023C4×D4—24no—
1024C4×D4—216no—
1025C4×D4—28no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—216no—
1029C4×D4—28no—
1030C4×D4—24no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—216no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—42no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—48no—
1049C4×D4—42no—
1050C4×D4—84no—
1051C4×D4—84no—
1052C4×D4C2×D4116yes—
1053C4×D4C2×D418yes—
1054#117—28no—
1055#117—216no—
1056#117—28no—
1057#117—24no—
1058#117—28no—
1059#117—24no—
1060#117—24no—
1061#117—216no—
1062#117—216no—
1063#117—28no—
1064#117—28no—
1065#117—28no—
1066#117—44no—
1067#117—84no—
1068C2×C4⋊C4—28no—
1069C2×C4⋊C4—216no—
1070C2×C4⋊C4—216no—
1071C2×C4⋊C4—28no—
1072C2×C4⋊C4—28no—
1073C2×C4⋊C4C2×D4116yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C22⋊C4—216no—
1137C2×C22⋊C4—216no—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C42—28no—
1211C2×C42—28no—
1212C2×C42—24no—
1213C2×C42—28no—
1214C2×C42—24no—
1215C2×C42C2411yescharacteristic
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2412yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2414yes—
1223C2×C42C2414yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2412yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2414yes—
1239C2×C42C2414yes—
1240C2×C42C2414yes—
1241C2×C42C2412yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2414yes—
1244C2×C42C2411yescharacteristic
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2414yes—
1253#95C2412yes—
1254#95C2414yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2412yes—
1263#95C2412yes—
1264#95C2411yescharacteristic
1265#95C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295C24—28no—
1296C24—28no—
1297C24—44no—
1298C24—44no—
1299C24—44no—
1300C24—44no—
1301C24—44no—
1302C24C2514yes—
1303C24C2511yescharacteristic
1304C24C2511yescharacteristic
1305C24C2512yes—
1306C24C2512yes—
1307C24C2512yes—
1308#41—432no—
1309#41—416no—
1310#41—416no—
1311#41—416no—
1312#41—816no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—24no—
1316C2×Q8—22no—
1317C2×Q8—24no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—22no—
1321C2×Q8—24no—
1322C2×Q8—22no—
1323C2×Q8—22no—
1324C2×Q8—42no—
1325C2×Q8—42no—
1326C2×Q8C22×D414yes—
1327C2×Q8C22×D418yes—
1328C2×D4—24no—
1329C2×D4—28no—
1330C2×D4—28no—
1331C2×D4—28no—
1332C2×D4—28no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—28no—
1337C2×D4—28no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—24no—
1343C2×D4—28no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—432no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—41no—
1362C2×D4—42no—
1363C2×D4—41no—
1364C2×D4—42no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—44no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—42no—
1382C2×D4—44no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—42no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—432no—
1391C2×D4C22×D414yes—
1392C2×D4C2×#4114yes—
1393C2×D4C2×#4114yes—
1394C2×D4C2×#4118yes—
1395C2×D4C2×#4118yes—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—28no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—28no—
1414C22×C4—28no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—28no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—28no—
1434C22×C4—28no—
1435C22×C4—28no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—42no—
1439C22×C4—42no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—41no—
1447C22×C4—42no—
1448C22×C4—44no—
1449C22×C4—41no—
1450C22×C4—42no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—41no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—832no—
1458C22×C4C22×D418yes—
1459C22×C4C22×D4116yes—
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2514yes—
1466C22×C4C2512yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2512yes—
1472C22×C4C2514yes—
1473C22×C4C2512yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2512yes—
1476C22×C4C2511yescharacteristic
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2512yes—
1480C22×C4C2512yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2512yes—
1483C22×C4C2514yes—
1484C22×C4C2511yescharacteristic
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C4⋊C4—22no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—22no—
1493C4⋊C4—24no—
1494C4⋊C4—28no—
1495C4⋊C4—28no—
1496C4⋊C4—28no—
1497C4⋊C4—28no—
1498C4⋊C4—28no—
1499C4⋊C4—28no—
1500C4⋊C4—28no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—24no—
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—28no—
1509C4⋊C4—28no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—28no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—22no—
1516C4⋊C4—24no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—22no—
1521C4⋊C4—24no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—24no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—42no—
1528C4⋊C4—41no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4—42no—
1544C4⋊C4C22×D418yes—
1545C4⋊C4C22×D414yes—
1546C4⋊C4C22×D4116yes—
1547C4⋊C4C22×D4116yes—
1548C4⋊C4C22×D414yes—
1549C4⋊C4C22×D418yes—
1550C4⋊C4C22×D418yes—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—28no—
1559C22⋊C4—28no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—28no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—28no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—28no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—22no—
1580C22⋊C4—22no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—24no—
1584C22⋊C4—22no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4—44no—
1588C22⋊C4—41no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—41no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—41no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—42no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4C22×D4116yes—
1622C22⋊C4C22×D418yes—
1623C42—22no—
1624C42—22no—
1625C42—22no—
1626C42—22no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—24no—
1631C42—24no—
1632C42—22no—
1633C42—22no—
1634C42—24no—
1635C42—24no—
1636C42—28no—
1637C42—28no—
1638C42—24no—
1639C42—24no—
1640C42—24no—
1641C42—22no—
1642C42—24no—
1643C42—22no—
1644C42—22no—
1645C42—44no—
1646C42—42no—
1647C42—44no—
1648C42—42no—
1649C42—41no—
1650C42—44no—
1651C42—44no—
1652C42—42no—
1653C42—41no—
1654C42C22×D418yes—
1655C42C22×D414yes—
1656C42C2×#4114yes—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—21no—
1676C23—24no—
1677C23—21no—
1678C23—24no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—24no—
1686C23—24no—
1687C23—21no—
1688C23—24no—
1689C23—24no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—24no—
1694C23—21no—
1695C23—21no—
1696C23—416no—
1697C23—416no—
1698C23—88no—
1699C23—88no—
1700C23—88no—
1701C23—88no—
1702C23—88no—
1703C23C23×D414yes—
1704C23C22×#4114yes—
1705C23C22×#4114yes—
1706C23C2611yescharacteristic
1707Q8—28no—
1708Q8—48no—
1709Q8—48no—
1710Q8—44no—
1711Q8—44no—
1712D4—28no—
1713D4—28no—
1714D4—28no—
1715D4—48no—
1716D4—48no—
1717D4—416no—
1718D4—48no—
1719D4—48no—
1720D4—44no—
1721D4—416no—
1722D4—416no—
1723D4—48no—
1724D4—48no—
1725D4—48no—
1726D4—88no—
1727D4—84no—
1728D4—84no—
1729D4—84no—
1730D4—88no—
1731D4—84no—
1732D4—88no—
1733D4—164no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—216no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—24no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—24no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—24no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—24no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—21no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—24no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—416no—
1809C2×C4—48no—
1810C2×C4—416no—
1811C2×C4—44no—
1812C2×C4—48no—
1813C2×C4—416no—
1814C2×C4—48no—
1815C2×C4—48no—
1816C2×C4—48no—
1817C2×C4—44no—
1818C2×C4—44no—
1819C2×C4—48no—
1820C2×C4—44no—
1821C2×C4—48no—
1822C2×C4—44no—
1823C2×C4—84no—
1824C2×C4—88no—
1825C2×C4—82no—
1826C2×C4—88no—
1827C2×C4—88no—
1828C2×C4C23×D414yes—
1829C2×C4C23×D414yes—
1830C2×C4C23×D412yes—
1831C2×C4C23×D414yes—
1832C2×C4C23×D418yes—
1833C2×C4C23×D412yes—
1834C2×C4C23×D412yes—
1835C2×C4C22×#4112yes—
1836C2×C4C22×#4112yes—
1837C2×C4C22×#4112yes—
1838C2×C4#58512yes—
1839C2×C4#58512yes—
1840C2×C4#58512yes—
1841C2×C4#58512yes—
1842C22—24no—
1843C22—24no—
1844C22—24no—
1845C22—24no—
1846C22—24no—
1847C22—24no—
1848C22—24no—
1849C22—24no—
1850C22—24no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—42no—
1862C22—42no—
1863C22—44no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—44no—
1869C22—41no—
1870C22—41no—
1871C22—44no—
1872C22—41no—
1873C22—41no—
1874C22—44no—
1875C22—41no—
1876C22—41no—
1877C22—44no—
1878C22—41no—
1879C22—41no—
1880C22—44no—
1881C22—41no—
1882C22—44no—
1883C22—41no—
1884C22—832no—
1885C22C24×D411yescharacteristic
1886C22C23×#4111yescharacteristic
1887C22C2×#58511yescharacteristic
1888C22C2×#58511yescharacteristic
1889C22C2×#58511yescharacteristic
1890C22C2×#58511yescharacteristic
1891C22H(7,𝔽2)11yescharacteristic
1892C4—22no—
1893C4—24no—
1894C4—28no—
1895C4—22no—
1896C4—22no—
1897C4—22no—
1898C4—24no—
1899C4—24no—
1900C4—42no—
1901C4—41no—
1902C4—42no—
1903C4—42no—
1904C4—42no—
1905C4—42no—
1906C4—41no—
1907C4—42no—
1908C4—41no—
1909C4—42no—
1910C4—41no—
1911C4—42no—
1912C4—42no—
1913C4—42no—
1914C4—41no—
1915C4—41no—
1916C4—44no—
1917C4—41no—
1918C4—44no—
1919C4D4×#4114yes—
1920C4#348714yes—
1921C2—44no—
1922C2—44no—
1923C2—44no—
1924C2—81no—
1925C2—81no—
1926C2—84no—
1927C2C2×D4×#4111yescharacteristic
1928C2#6278111yescharacteristic
1929C2C2×#348711yescharacteristic
1930C2#6296911yescharacteristic
1931C2#6298711yescharacteristic
1932C2#6299211yescharacteristic
1933C2#6303111yescharacteristic
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×#3515C2semidirect
2. C2×#3481C2semidirect
3. #59824C2semidirect
4. #59823C2semidirect
5. #59139C2semidirect
6. #59102C2semidirect
7. #59079C2semidirect
8. #59057C2semidirect
9. #59054C2semidirect
10. #59019C2semidirect
11. #45187C2semidirect
12. #44892C2semidirect
13. #43548C2semidirect
14. #43045C2semidirect
15. #39948C2semidirect
16. #39881C2semidirect
17. #39362C2semidirect
18. #38910C2semidirect
19. #37801C2semidirect
20. #37799C2semidirect
21. #36538C2semidirect
22. #36505C2semidirect
23. #36493C2semidirect
24. #36440C2semidirect
25. #36404C2semidirect
26. #36162C2semidirect
27. #36150C2semidirect
28. #36112C2semidirect
29. #36015C2semidirect
30. #35793C2semidirect
31. #34724C2semidirect
32. #34700C2semidirect
33. #34317C2semidirect
34. #34265C2semidirect
35. C4×#550C2semidirect
39. C2×#557C22semidirect
42. C2×#554C22semidirect
46. C2×#552C22semidirect
47. C2×#552C22semidirect
48. C2×#552C22semidirect
52. C2×#547C22semidirect
56. C2×#541C22semidirect
57. C2×#539C22semidirect
59. C2×#533C22semidirect
65. C22×#125C22semidirect
67. C2×#520C22semidirect
70. C2×C4×#41C22semidirect
73. #2861C22semidirect
75. #2857C22semidirect
77. #2855C22semidirect
78. #2851C22semidirect
79. #2850C22semidirect
80. #2849C22semidirect
81. #2732C22semidirect
82. #2730C22semidirect
83. #2728C22semidirect
84. #2725C22semidirect
85. #2721C22semidirect
86. #2718C22semidirect
87. #2718C22semidirect
88. #2711C22semidirect
89. #2706C22semidirect
90. #2703C22semidirect
91. #2694C22semidirect
93. #2685C22semidirect
94. #2685C22semidirect
95. #2682C22semidirect
99. #2678C22semidirect
100. #2673C22semidirect
101. #2669C22semidirect
102. #2661C22semidirect
103. #2635C22semidirect
106. #2602C22semidirect
107. #2600C22semidirect
108. #2568C22semidirect
109. #2566C22semidirect
110. #2562C22semidirect
111. #2558C22semidirect
112. #2558C22semidirect
113. #2558C22semidirect
114. #2558C22semidirect
115. #2554C22semidirect
116. #2554C22semidirect
117. #2552C22semidirect
120. #2545C22semidirect
121. #2545C22semidirect
122. #2545C22semidirect
123. #2542C22semidirect
126. #2540C22semidirect
127. #2540C22semidirect
128. #2540C22semidirect
130. #2538C22semidirect
131. #2538C22semidirect
132. #2536C22semidirect
133. #2535C22semidirect
134. #2519C22semidirect
135. #2512C22semidirect
136. #2500C22semidirect
138. #2490C22semidirect
139. #2490C22semidirect
140. #2490C22semidirect
141. #2489C22semidirect
142. #2489C22semidirect
143. #2482C22semidirect
144. #2481C22semidirect
145. #2481C22semidirect
146. #2480C22semidirect
147. #2480C22semidirect
148. #2479C22semidirect
149. #2478C22semidirect
150. #2475C22semidirect
151. #2475C22semidirect
152. #2471C22semidirect
153. #2471C22semidirect
154. #2471C22semidirect
155. #2470C22semidirect
156. #2470C22semidirect
157. #2468C22semidirect
158. #2467C22semidirect
159. #2467C22semidirect
160. #2466C22semidirect
161. #2466C22semidirect
162. #2460C22semidirect
163. #2460C22semidirect
164. #2460C22semidirect
165. #2457C22semidirect
166. #2457C22semidirect
167. #2456C22semidirect
168. #2456C22semidirect
169. #2455C22semidirect
171. #2454C22semidirect
172. #2454C22semidirect
173. #2454C22semidirect
174. #2453C22semidirect
175. #2453C22semidirect
176. #2448C22semidirect
177. #2448C22semidirect
179. #2446C22semidirect
180. #2443C22semidirect
181. #2443C22semidirect
182. #2442C22semidirect
183. #2441C22semidirect
184. #2441C22semidirect
190. #2431C22semidirect
191. #2429C22semidirect
192. #2428C22semidirect
194. #2427C22semidirect
195. #2427C22semidirect
196. #2426C22semidirect
197. #2426C22semidirect
198. #2424C22semidirect
200. #2421C22semidirect
202. #2418C22semidirect
203. #2417C22semidirect
204. #2417C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2415C22semidirect
210. #2415C22semidirect
211. #2415C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2411C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2395C22semidirect
226. #2395C22semidirect
227. #2392C22semidirect
228. #2392C22semidirect
229. #2370C22semidirect
230. #2369C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
238. #2366C22semidirect
239. #2366C22semidirect
240. #2366C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2363C22semidirect
246. #2363C22semidirect
247. #2363C22semidirect
248. #2363C22semidirect
249. #2362C22semidirect
250. #2362C22semidirect
251. #2362C22semidirect
252. #2361C22semidirect
253. #2361C22semidirect
254. #2361C22semidirect
255. #2360C22semidirect
257. #2355C22semidirect
259. #2354C22semidirect
260. #2354C22semidirect
261. #2352C22semidirect
262. #2352C22semidirect
263. #2352C22semidirect
264. Q8×C4⋊C4C22semidirect
265. D4×C4⋊C4C22semidirect
266. #2344C22semidirect
268. #2341C22semidirect
269. #2341C22semidirect
270. #2332C22semidirect
271. #2323C22semidirect
272. #2321C22semidirect
273. #2321C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
278. C4×#127C22semidirect
279. C4×#125C22semidirect
280. C4×#124C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×#123C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#120C22semidirect
291. C4×#120C22semidirect
292. #2297C22semidirect
293. #2296C22semidirect
296. #2280C22semidirect
297. #2274C22semidirect
298. C42×Q8C22semidirect
299. C42×D4C22semidirect
300. C42×D4C22semidirect
313. #554D4semidirect
927. #127#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
C2×#34812
#598242
#598232
#591392
#591022
#590792
#590572
#590542
#590192
#451872
#448922
#435482
#430452
#399482
#398812
#393622
#389102
#378012
#377992
#365382
#365052
#364932
#364402
#364042
#361622
#361502
#361122
#360152
#357932
#347242
#347002
#343172
#342652
C4×#5502