Finite Group Databasebeta

← #7655425

Subgroups — #7655425

Order 512.

6886 conjugacy classes of subgroups.

The subgroup lattice has 1907 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3524C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42650C211yesmaximal, characteristic, complemented
4#42646C211yesmaximal, characteristic, complemented
5#42428C211yesmaximal, characteristic, complemented
6#42424C211yesmaximal, characteristic, complemented
7#42387C212yesmaximal, complemented
8#42310C212yesmaximal, complemented
9#42151C212yesmaximal, complemented
10#41955C212yesmaximal, complemented
11#39955C212yesmaximal, complemented
12#39950C212yesmaximal, complemented
13#39942C214yesmaximal, complemented
14#39941C214yesmaximal, complemented
15#39861C212yesmaximal, complemented
16#39860C212yesmaximal, complemented
17#38381C214yesmaximal, complemented
18#38380C214yesmaximal, complemented
19#37560C211yesmaximal, characteristic, complemented
20#37543C212yesmaximal, complemented
21#36471C212yesmaximal, complemented
22#36468C212yesmaximal, complemented
23#36235C212yesmaximal, complemented
24#36234C212yesmaximal, complemented
25#36030C211yesmaximal, characteristic, complemented
26#36019C211yesmaximal, characteristic, complemented
27#35738C211yesmaximal, characteristic, complemented
28#35701C211yesmaximal, characteristic, complemented
29#35342C212yesmaximal, complemented
30#35201C211yesmaximal, characteristic, complemented
31#35119C212yesmaximal, complemented
32#35102C211yesmaximal, characteristic, complemented
33#34965C211yesmaximal, characteristic, complemented
34#34876C212yesmaximal, complemented
35#34123C211yesmaximal, characteristic, complemented
36#3524—216no—
37C2×#559C2212yes—
38C2×#559C2211yescharacteristic, complemented
39C2×#557C2211yescharacteristic, complemented
40#3475—216no—
41C2×#556C2211yescharacteristic
42C2×#555C2211yescharacteristic
43C2×#555C2211yescharacteristic
44C2×#555C2212yescomplemented
45C2×#554C2211yescharacteristic
46C2×#553C2212yes—
47C2×#553C2212yes—
48C2×#553C2211yescharacteristic, complemented
49C2×#552C2212yes—
50C2×#552C2212yes—
51C2×#552C2211yescharacteristic
52C2×#552C2212yescomplemented
53C2×#551C2214yes—
54C2×#550C2211yescharacteristic
55C2×#548C2211yescharacteristic
56C2×#548C2211yescharacteristic, complemented
57C2×#547C2211yescharacteristic
58C2×#546C2212yes—
59C2×#542C2212yes—
60C2×#542C2211yescharacteristic, complemented
61C2×#540C2212yes—
62C2×#540C2211yescharacteristic, complemented
63C2×#533C2211yescharacteristic
64C2×#529C2211yescharacteristic
65C2×#529C2212yes—
66C2×#529C2211yescharacteristic
67C2×#529C2214yes—
68C2×#529C2212yescomplemented
69C2×#529C2212yescomplemented
70C2×#525C2212yes—
71C2×#520C2211yescharacteristic, complemented
72C2×#519C2211yescharacteristic, complemented
73C2×C4×#41C2212yes—
74C2×C4×#41C2211yescharacteristic
75C22×C4×D4C2211yescharacteristic
76C22×#117C2212yes—
77#2861C2212yescomplemented
78#2859C2212yescomplemented
79#2854C2214yescomplemented
80#2854C2214yescomplemented
81#2851C2214yescomplemented
82#2850C2214yescomplemented
83#2848C2212yes—
84#2847C2212yes—
85#2817C2212yes—
86#2816C2212yes—
87#2814C2212yescomplemented
88#2814C2212yescomplemented
89#2813C2212yes—
90#2813C2212yes—
91#2720C2214yescomplemented
92#2719C2214yescomplemented
93#2717C2214yes—
94#2715C2214yescomplemented
95#2713C2214yescomplemented
96#2712C2214yescomplemented
97#2711C2214yescomplemented
98#2709C2214yes—
99#2708C2214yes—
100#2708C2214yes—
101#2696C2214yes—
102#2695C2214yescomplemented
103#2694C2214yes—
104#2693C2214yescomplemented
105#2684C2214yes—
106#2676C2214yescomplemented
107#2674C2214yes—
108#2673C2214yes—
109#2672C2214yescomplemented
110#2672C2214yescomplemented
111#2671C2214yescomplemented
112#2669C2214yes—
113#2668C2214yes—
114#2668C2214yes—
115#2664C2214yescomplemented
116#2663C2212yes—
117#2663C2212yes—
118#2663C2212yes—
119#2663C2212yes—
120#2662C2214yescomplemented
121#2659C2212yescomplemented
122#2656C2212yes—
123#2639C2212yes—
124#2639C2212yescomplemented
125#2638C2214yescomplemented
126#2635C2214yescomplemented
127#2634C2212yescomplemented
128#2634C2212yescomplemented
129#2633C2212yescomplemented
130#2632C2212yes—
131#2632C2212yescomplemented
132#2631C2212yes—
133#2628C2211yescharacteristic, complemented
134#2628C2211yescharacteristic, complemented
135#2628C2211yescharacteristic, complemented
136#2628C2211yescharacteristic, complemented
137#2625C2212yescomplemented
138#2624C2212yescomplemented
139#2623C2212yes—
140#2616C2212yes—
141#2615C2212yes—
142#2613C2212yes—
143#2611C2214yescomplemented
144#2611C2212yescomplemented
145#2611C2214yescomplemented
146#2611C2212yescomplemented
147#2610C2212yes—
148#2610C2212yes—
149#2610C2214yescomplemented
150#2610C2214yescomplemented
151#2609C2214yescomplemented
152#2609C2214yescomplemented
153#2604C2214yescomplemented
154#2604C2212yescomplemented
155#2604C2212yescomplemented
156#2604C2212yescomplemented
157#2604C2212yescomplemented
158#2603C2211yescharacteristic
159#2603C2212yes—
160#2603C2212yes—
161#2603C2211yescharacteristic
162#2603C2211yescharacteristic
163#2603C2211yescharacteristic
164#2603C2214yescomplemented
165#2602C2214yescomplemented
166#2602C2214yescomplemented
167#2602C2214yescomplemented
168#2602C2214yescomplemented
169#2600C2214yescomplemented
170#2600C2214yescomplemented
171#2599C2212yescomplemented
172#2599C2212yescomplemented
173#2598C2212yes—
174#2598C2212yes—
175#2598C2214yes—
176#2584C2212yescomplemented
177#2568C2211yescharacteristic, complemented
178#2567C2211yescharacteristic, complemented
179#2566C2212yes—
180#2564C2214yescomplemented
181#2563C2211yescharacteristic, complemented
182#2562C2212yes—
183#2562C2212yescomplemented
184#2559C2214yes—
185#2559C2214yescomplemented
186#2555C2214yes—
187#2553C2214yescomplemented
188#2544C2212yes—
189#2543C2214yescomplemented
190#2542C2211yescharacteristic, complemented
191#2540C2212yes—
192#2537C2212yescomplemented
193#2537C2212yescomplemented
194#2536C2211yescharacteristic
195#2536C2211yescharacteristic
196#2535C2211yescharacteristic
197#2535C2211yescharacteristic
198#2535C2212yescomplemented
199#2535C2212yescomplemented
200#2521C2214yescomplemented
201#2504C2211yescharacteristic
202#2502C2211yescharacteristic
203#2500C2212yes—
204#2499C2212yes—
205#2498C2212yescomplemented
206#2498C2212yescomplemented
207#2496C2214yescomplemented
208#2485C2212yes—
209#2485C2212yes—
210#2481C2214yescomplemented
211#2480C2214yes—
212#2479C2214yescomplemented
213#2478C2214yes—
214#2477C2214yescomplemented
215#2476C2214yes—
216#2474C2214yes—
217#2472C2214yes—
218#2470C2214yes—
219#2469C2214yescomplemented
220#2467C2214yescomplemented
221#2465C2214yescomplemented
222#2464C2214yes—
223#2463C2214yescomplemented
224#2449C2214yescomplemented
225#2442C2212yescomplemented
226#2441C2212yescomplemented
227#2440C2212yescomplemented
228#2439C2212yescomplemented
229#2435C2211yescharacteristic
230#2433C2211yescharacteristic
231#2430C2212yes—
232#2430C2212yes—
233#2428C2214yes—
234#2428C2212yescomplemented
235#2428C2212yescomplemented
236#2427C2212yescomplemented
237#2427C2212yescomplemented
238#2424C2214yes—
239#2423C2212yescomplemented
240#2423C2212yescomplemented
241#2421C2212yescomplemented
242#2421C2212yescomplemented
243#2418C2214yes—
244#2417C2212yescomplemented
245#2416C2212yescomplemented
246#2415C2214yes—
247#2415C2212yescomplemented
248#2414C2212yescomplemented
249#2411C2212yes—
250#2411C2212yes—
251#2409C2212yescomplemented
252#2409C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2399C2212yescomplemented
256#2398C2212yes—
257#2398C2212yescomplemented
258#2397C2212yes—
259#2392C2211yescharacteristic
260#2392C2211yescharacteristic
261#2392C2211yescharacteristic
262#2392C2211yescharacteristic
263#2363C2212yescomplemented
264#2362C2212yescomplemented
265#2361C2212yescomplemented
266#2360C2212yescomplemented
267#2356C2211yescharacteristic, complemented
268#2356C2211yescharacteristic, complemented
269#2354C2212yescomplemented
270#2353C2212yes—
271#2353C2212yes—
272#2352C2212yescomplemented
273#2352C2212yescomplemented
274#2349C2211yescharacteristic, complemented
275#2349C2211yescharacteristic, complemented
276D4×C4⋊C4C2212yescomplemented
277#2346C2212yes—
278#2343C2214yescomplemented
279#2339C2212yes—
280#2325C2214yescomplemented
281#2325C2214yescomplemented
282#2324C2214yescomplemented
283#2323C2214yescomplemented
284#2323C2214yescomplemented
285#2321C2214yes—
286C4×#127C2212yes—
287C4×#124C2212yes—
288C4×#121C2214yescomplemented
289C4×#121C2214yescomplemented
290C4×#120C2212yes—
291C4×#120C2212yes—
292#2295C2212yescomplemented
293#2290C2214yes—
294#2290C2214yescomplemented
295#2290C2214yescomplemented
296#2283C2211yescharacteristic
297#2283C2212yescomplemented
298C42×D4C2212yescomplemented
299C4×#117C2211yescharacteristic
300C2×#376C2212yescomplemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×D4C2311yescharacteristic
306C24×C4C2312yes—
307#559—216no—
308#559—28no—
309#557—28no—
310#556—28no—
311#555—28no—
312#555—28no—
313#555—216no—
314#554—28no—
315#553—216no—
316#553—216no—
317#553—28no—
318#552—216no—
319#552—216no—
320#552—28no—
321#552—216no—
322#551—232no—
323#550—28no—
324#548—28no—
325#548—28no—
326#547—28no—
327#546—216no—
328#542—216no—
329#542—28no—
330#540—216no—
331#540—28no—
332#533—28no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×#127C2312yes—
338C2×#127C2311yescharacteristic
339C2×#127C2312yes—
340#529—232no—
341#529—216no—
342#529—28no—
343#529—28no—
344#529—216no—
345#529—216no—
346C2×#126C2311yescharacteristic
347C2×#126C2312yes—
348C2×#126C2311yescharacteristic
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#125C2311yescharacteristic
356C2×#125C2312yes—
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2312yes—
363C2×#125C2311yescharacteristic
364C2×#124C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376#525—216no—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2311yescharacteristic
382C2×#123C2311yescharacteristic
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×#121C2311yescharacteristic
408C2×#121C2311yescharacteristic
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2311yescharacteristic
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×#120C2312yes—
434C2×#120C2312yes—
435#520—28no—
436#519—28no—
437C4×#41—216no—
438C4×#41D4116yescomplemented
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×D4—28no—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×#117—216no—
489C2×#117C2312yes—
490C2×#117C2314yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2311yescharacteristic
494C2×#117C2312yes—
495C2×#117C2314yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2311yescharacteristic
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2314yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2311yescharacteristic
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2314yes—
515C22×C42C2314yes—
516C22×C42C2314yes—
517C22×C42C2311yescharacteristic
518C22×C42C2312yes—
519#400C2314yes—
520#400C2312yes—
521#400C2312yes—
522#400C2314yes—
523#400C2314yes—
524#400C2312yes—
525#400C2312yes—
526#400C2314yes—
527#400C2312yes—
528#400C2312yes—
529#400C2314yes—
530#399C2312yes—
531#399C2312yes—
532#399C2314yes—
533#399C2312yes—
534#399C2314yes—
535#399C2312yes—
536#399C2314yes—
537#399C2312yes—
538#399C2312yes—
539#399C2314yes—
540#398C2314yes—
541#398C2311yescharacteristic
542#398C2312yes—
543#398C2311yescharacteristic
544#398C2312yes—
545#398C2311yescharacteristic
546#398C2311yescharacteristic
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2311yescharacteristic
555#397C2312yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2311yescharacteristic
561#397C2312yes—
562#397C2311yescharacteristic
563#397C2311yescharacteristic
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#396C2312yes—
570#396C2312yes—
571#396C2312yes—
572#396C2312yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#395C2314yes—
578#395C2312yes—
579#395C2312yes—
580#395C2314yes—
581#395C2312yes—
582#395C2312yes—
583#395C2314yes—
584#395C2312yes—
585#395C2312yes—
586#395C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2311yescharacteristic
592#394C2312yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2311yescharacteristic
602#394C2312yes—
603#394C2311yescharacteristic
604#394C2311yescharacteristic
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2314yes—
615#394C2314yes—
616#393C2312yes—
617#393C2312yes—
618#393C2312yes—
619#393C2312yes—
620#393C2314yes—
621#393C2314yes—
622#393C2312yes—
623#393C2312yes—
624#393C2314yes—
625#392C2311yescharacteristic
626#392C2312yes—
627#392C2314yes—
628#392C2314yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2311yescharacteristic
633#392C2312yes—
634#392C2311yescharacteristic
635#392C2311yescharacteristic
636#392C2314yes—
637#392C2314yes—
638#392C2314yes—
639#391C2312yes—
640#391C2314yes—
641#391C2312yes—
642#391C2314yes—
643#391C2312yes—
644#391C2312yes—
645#391C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2314yes—
655#390C2314yes—
656#390C2314yes—
657#390C2314yes—
658#390C2314yes—
659#390C2312yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2314yes—
664#389C2314yes—
665#389C2314yes—
666#389C2314yes—
667#389C2314yes—
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2314yes—
673#389C2314yes—
674#389C2314yes—
675#389C2312yes—
676#389C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2312yes—
705#388C2314yes—
706#388C2314yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2312yes—
753#386C2312yes—
754#386C2314yes—
755#386C2314yes—
756#386C2312yes—
757#386C2312yes—
758#386C2314yes—
759#386C2314yes—
760#385C2312yes—
761#385C2314yes—
762#385C2312yes—
763#385C2312yes—
764#385C2312yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2312yes—
780#385C2312yes—
781#384C2312yes—
782#384C2312yes—
783#384C2312yes—
784#383C2312yes—
785#383C2312yes—
786#383C2312yes—
787#382C2312yes—
788#382C2312yes—
789#382C2312yes—
790#382C2314yes—
791#382C2311yescharacteristic
792#382C2311yescharacteristic
793#381C2312yes—
794#381C2314yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2314yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#379C2314yes—
814#379C2312yes—
815#379C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840#376C2314yes—
841#376C2311yescharacteristic
842#376C2312yes—
843#376C2311yescharacteristic
844#376C2314yes—
845#376C2312yes—
846#376C2312yes—
847C2×#95C2314yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C43C2312yes—
851C25C2412yes—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—48no—
855C2×#41—42no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—42no—
859C2×#41C2×D418yes—
860C22×Q8—24no—
861C22×Q8—42no—
862C22×Q8—42no—
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×D4—24no—
871C22×D4—44no—
872C22×D4C2411yescharacteristic
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C23×C4—28no—
897C23×C4—44no—
898C23×C4—44no—
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2414yes—
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2414yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C4⋊Q8—24no—
922C4⋊Q8—28no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925#127—24no—
926#127—28no—
927#127—44no—
928#126—216no—
929#126—216no—
930#126—28no—
931#126—28no—
932#126—28no—
933#126—24no—
934#126—28no—
935#126—24no—
936#126—216no—
937#125—216no—
938#125—24no—
939#125—28no—
940#125—28no—
941#125—24no—
942#125—28no—
943#125—28no—
944#125—24no—
945#125—28no—
946#124—24no—
947#124—28no—
948#124—216no—
949#124—28no—
950#124—28no—
951#124—28no—
952#124—28no—
953#124—28no—
954#124—24no—
955#124—28no—
956#124—24no—
957#124—44no—
958#123—216no—
959#123—28no—
960#123—28no—
961#123—28no—
962#123—216no—
963#123—24no—
964#123—28no—
965#123—24no—
966#123—28no—
967#123—216no—
968#123—216no—
969#123—28no—
970#123—28no—
971#123—28no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—24no—
975C22⋊Q8—28no—
976C22⋊Q8—28no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—216no—
982C22⋊Q8—24no—
983C22⋊Q8—28no—
984C22⋊Q8—48no—
985C22⋊Q8—48no—
986C22⋊Q8—44no—
987C22⋊Q8—44no—
988#121—28no—
989#121—28no—
990#121—24no—
991#121—28no—
992#121—24no—
993#121—28no—
994#121—24no—
995#121—28no—
996#121—28no—
997#121—24no—
998#121—28no—
999#121—24no—
1000#121—28no—
1001#121—216no—
1002#121—28no—
1003#121—28no—
1004#121—28no—
1005#121—48no—
1006#121—48no—
1007#121—48no—
1008#121—44no—
1009#121—44no—
1010#121—48no—
1011#121—48no—
1012#120—216no—
1013#120—44no—
1014#120—44no—
1015#120—48no—
1016C4×Q8—24no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—28no—
1022C4×Q8—24no—
1023C4×Q8—28no—
1024C4×Q8—28no—
1025C4×Q8—28no—
1026C4×Q8—24no—
1027C4×Q8C2×D418yes—
1028C4×Q8C2×D418yes—
1029C4×D4—216no—
1030C4×D4—216no—
1031C4×D4—216no—
1032C4×D4—24no—
1033C4×D4—28no—
1034C4×D4—24no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—24no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—24no—
1052C4×D4—48no—
1053C4×D4—48no—
1054C4×D4—44no—
1055C4×D4—44no—
1056C4×D4—44no—
1057C4×D4—44no—
1058C4×D4—44no—
1059C4×D4—44no—
1060C4×D4C2×D4116yes—
1061C4×D4C2×D418yes—
1062C4×D4C2×D4116yes—
1063C4×D4C2×D418yes—
1064#117—28no—
1065#117—28no—
1066#117—28no—
1067#117—28no—
1068#117—24no—
1069#117—28no—
1070#117—216no—
1071#117—216no—
1072#117—216no—
1073#117—24no—
1074#117—28no—
1075#117—24no—
1076#117—28no—
1077#117—28no—
1078#117—28no—
1079#117—28no—
1080#117—44no—
1081#117C2×D418yes—
1082#117C2×D4116yes—
1083C2×C4⋊C4—24no—
1084C2×C4⋊C4—28no—
1085C2×C4⋊C4—28no—
1086C2×C4⋊C4—24no—
1087C2×C4⋊C4—28no—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C22⋊C4—28no—
1150C2×C22⋊C4—216no—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C42—216no—
1226C2×C42—48no—
1227C2×C42C2×D418yes—
1228C2×C42C2×D4116yes—
1229C2×C42C2414yes—
1230C2×C42C2414yes—
1231C2×C42C2412yes—
1232C2×C42C2412yes—
1233C2×C42C2412yes—
1234C2×C42C2414yes—
1235C2×C42C2411yescharacteristic
1236C2×C42C2412yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2414yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2414yes—
1247C2×C42C2414yes—
1248C2×C42C2412yes—
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255#95C2412yes—
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303C24—24no—
1304C24—24no—
1305C24—42no—
1306C24—42no—
1307C24—42no—
1308C24—42no—
1309C24—42no—
1310C24C2512yes—
1311C24C2512yes—
1312C24C2511yescharacteristic
1313C24C2511yescharacteristic
1314C24C2511yescharacteristic
1315C24C2512yes—
1316C24C2512yes—
1317#41—416no—
1318#41—432no—
1319#41—416no—
1320C2×Q8—24no—
1321C2×Q8—22no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—22no—
1326C2×Q8—22no—
1327C2×Q8—22no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—42no—
1331C2×Q8—42no—
1332C2×Q8—44no—
1333C2×Q8—44no—
1334C2×Q8—44no—
1335C2×Q8—42no—
1336C2×Q8—416no—
1337C2×Q8C22×D414yes—
1338C2×D4—24no—
1339C2×D4—28no—
1340C2×D4—24no—
1341C2×D4—28no—
1342C2×D4—24no—
1343C2×D4—28no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—28no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—22no—
1358C2×D4—24no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—24no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—44no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—416no—
1398C2×D4C22×D414yes—
1399C2×D4C22×D418yes—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—28no—
1404C22×C4—24no—
1405C22×C4—28no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—28no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—28no—
1426C22×C4—44no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—432no—
1454C22×C4C22×D414yes—
1455C22×C4C22×D414yes—
1456C22×C4C22×D414yes—
1457C22×C4C22×D418yes—
1458C22×C4C22×D418yes—
1459C22×C4C22×D418yes—
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2514yes—
1463C22×C4C2514yes—
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2512yes—
1472C22×C4C2514yes—
1473C22×C4C2514yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2512yes—
1487C22×C4C2511yescharacteristic
1488C4⋊C4—24no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—28no—
1494C4⋊C4—28no—
1495C4⋊C4—22no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—24no—
1501C4⋊C4—22no—
1502C4⋊C4—24no—
1503C4⋊C4—28no—
1504C4⋊C4—28no—
1505C4⋊C4—24no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—22no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—22no—
1519C4⋊C4—28no—
1520C4⋊C4—22no—
1521C4⋊C4—28no—
1522C4⋊C4—24no—
1523C4⋊C4—22no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—28no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—44no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4C22×D414yes—
1546C4⋊C4C22×D414yes—
1547C4⋊C4C22×D418yes—
1548C4⋊C4C22×D418yes—
1549C22⋊C4—28no—
1550C22⋊C4—28no—
1551C22⋊C4—22no—
1552C22⋊C4—24no—
1553C22⋊C4—28no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—22no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—22no—
1569C22⋊C4—24no—
1570C22⋊C4—22no—
1571C22⋊C4—24no—
1572C22⋊C4—22no—
1573C22⋊C4—28no—
1574C22⋊C4—24no—
1575C22⋊C4—22no—
1576C22⋊C4—24no—
1577C22⋊C4—22no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—22no—
1582C22⋊C4—22no—
1583C22⋊C4—24no—
1584C22⋊C4—22no—
1585C22⋊C4—28no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—28no—
1589C22⋊C4—24no—
1590C22⋊C4—42no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4C22×D418yes—
1621C22⋊C4C22×D418yes—
1622C22⋊C4C22×D418yes—
1623C42—28no—
1624C42—28no—
1625C42—28no—
1626C42—24no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—22no—
1631C42—24no—
1632C42—22no—
1633C42—24no—
1634C42—28no—
1635C42—24no—
1636C42—24no—
1637C42—44no—
1638C42—44no—
1639C42—42no—
1640C42—42no—
1641C42—42no—
1642C42C22×D418yes—
1643C42C22×D414yes—
1644C42C22×D414yes—
1645C42C22×D414yes—
1646C42C22×D418yes—
1647C42C22×D418yes—
1648C42C22×D414yes—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—24no—
1659C23—21no—
1660C23—21no—
1661C23—24no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—21no—
1666C23—21no—
1667C23—24no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—24no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—48no—
1686C23—48no—
1687C23—84no—
1688C23—84no—
1689C23—84no—
1690C23—84no—
1691C23—84no—
1692C23C23×D412yes—
1693C23C23×D414yes—
1694C23#58514yes—
1695C23C2611yescharacteristic
1696Q8—28no—
1697Q8—48no—
1698Q8—48no—
1699Q8—44no—
1700Q8—84no—
1701Q8—82no—
1702Q8—84no—
1703D4—28no—
1704D4—28no—
1705D4—48no—
1706D4—48no—
1707D4—48no—
1708D4—44no—
1709D4—48no—
1710D4—416no—
1711D4—44no—
1712D4—84no—
1713D4—84no—
1714D4—82no—
1715D4—88no—
1716D4—84no—
1717D4—84no—
1718D4—84no—
1719D4—84no—
1720D4—84no—
1721D4—82no—
1722D4—88no—
1723D4—84no—
1724D4—82no—
1725D4—84no—
1726D4—164no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—28no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—24no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—24no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—24no—
1771C2×C4—24no—
1772C2×C4—24no—
1773C2×C4—24no—
1774C2×C4—24no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—24no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—24no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—24no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—48no—
1789C2×C4—44no—
1790C2×C4—44no—
1791C2×C4—48no—
1792C2×C4—48no—
1793C2×C4—416no—
1794C2×C4—48no—
1795C2×C4—48no—
1796C2×C4—48no—
1797C2×C4—48no—
1798C2×C4—48no—
1799C2×C4—48no—
1800C2×C4—48no—
1801C2×C4—44no—
1802C2×C4—44no—
1803C2×C4—88no—
1804C2×C4—84no—
1805C2×C4—84no—
1806C2×C4—88no—
1807C2×C4—84no—
1808C2×C4—88no—
1809C2×C4C23×D412yes—
1810C2×C4C23×D414yes—
1811C2×C4C23×D412yes—
1812C2×C4C23×D414yes—
1813C2×C4C23×D414yes—
1814C2×C4C23×D412yes—
1815C2×C4C23×D412yes—
1816C2×C4C23×D412yes—
1817C2×C4C23×D412yes—
1818C2×C4#58514yes—
1819C2×C4#58512yes—
1820C2×C4#58512yes—
1821C22—24no—
1822C22—24no—
1823C22—24no—
1824C22—24no—
1825C22—22no—
1826C22—24no—
1827C22—22no—
1828C22—22no—
1829C22—24no—
1830C22—44no—
1831C22—42no—
1832C22—42no—
1833C22—44no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—44no—
1843C22—44no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—41no—
1850C22—41no—
1851C22—42no—
1852C22—42no—
1853C22—41no—
1854C22—41no—
1855C22—42no—
1856C22—41no—
1857C22—42no—
1858C22—42no—
1859C22—41no—
1860C22—816no—
1861C22C24×D411yescharacteristic
1862C22C2×#58511yescharacteristic
1863C22C2×#58512yes—
1864C22C2×#58512yes—
1865C22C2×#58511yescharacteristic
1866C4—24no—
1867C4—22no—
1868C4—24no—
1869C4—22no—
1870C4—22no—
1871C4—24no—
1872C4—22no—
1873C4—22no—
1874C4—24no—
1875C4—42no—
1876C4—44no—
1877C4—42no—
1878C4—44no—
1879C4—42no—
1880C4—44no—
1881C4—42no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—42no—
1886C4—44no—
1887C4—41no—
1888C4—42no—
1889C4—42no—
1890C4—41no—
1891C4—41no—
1892C4—42no—
1893C4#344914yes—
1894C2—44no—
1895C2—44no—
1896C2—42no—
1897C2—81no—
1898C2—81no—
1899C2—82no—
1900C2—82no—
1901C2C2×#344911yescharacteristic
1902C2#6281111yescharacteristic
1903C2#6281211yescharacteristic
1904C2#6302712yes—
1905C2#6302812yes—
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×#3524C2semidirect
2. C2×#3475C2semidirect
3. #42650C2semidirect
4. #42646C2semidirect
5. #42428C2semidirect
6. #42424C2semidirect
7. #42387C2semidirect
8. #42310C2semidirect
9. #42151C2semidirect
10. #41955C2semidirect
11. #39955C2semidirect
12. #39950C2semidirect
13. #39942C2semidirect
14. #39941C2semidirect
15. #39861C2semidirect
16. #39860C2semidirect
17. #38381C2semidirect
18. #38380C2semidirect
19. #37560C2semidirect
20. #37543C2semidirect
21. #36471C2semidirect
22. #36468C2semidirect
23. #36235C2semidirect
24. #36234C2semidirect
25. #36030C2semidirect
26. #36019C2semidirect
27. #35738C2semidirect
28. #35701C2semidirect
29. #35342C2semidirect
30. #35201C2semidirect
31. #35119C2semidirect
32. #35102C2semidirect
33. #34965C2semidirect
34. #34876C2semidirect
35. #34123C2semidirect
38. C2×#559C22semidirect
39. C2×#557C22semidirect
44. C2×#555C22semidirect
48. C2×#553C22semidirect
52. C2×#552C22semidirect
56. C2×#548C22semidirect
60. C2×#542C22semidirect
62. C2×#540C22semidirect
68. C2×#529C22semidirect
69. C2×#529C22semidirect
71. C2×#520C22semidirect
72. C2×#519C22semidirect
77. #2861C22semidirect
78. #2859C22semidirect
79. #2854C22semidirect
80. #2854C22semidirect
81. #2851C22semidirect
82. #2850C22semidirect
87. #2814C22semidirect
88. #2814C22semidirect
91. #2720C22semidirect
92. #2719C22semidirect
94. #2715C22semidirect
95. #2713C22semidirect
96. #2712C22semidirect
97. #2711C22semidirect
102. #2695C22semidirect
104. #2693C22semidirect
106. #2676C22semidirect
109. #2672C22semidirect
110. #2672C22semidirect
111. #2671C22semidirect
115. #2664C22semidirect
120. #2662C22semidirect
121. #2659C22semidirect
124. #2639C22semidirect
125. #2638C22semidirect
126. #2635C22semidirect
127. #2634C22semidirect
128. #2634C22semidirect
129. #2633C22semidirect
131. #2632C22semidirect
133. #2628C22semidirect
134. #2628C22semidirect
135. #2628C22semidirect
136. #2628C22semidirect
137. #2625C22semidirect
138. #2624C22semidirect
143. #2611C22semidirect
144. #2611C22semidirect
145. #2611C22semidirect
146. #2611C22semidirect
149. #2610C22semidirect
150. #2610C22semidirect
151. #2609C22semidirect
152. #2609C22semidirect
153. #2604C22semidirect
154. #2604C22semidirect
155. #2604C22semidirect
156. #2604C22semidirect
157. #2604C22semidirect
164. #2603C22semidirect
165. #2602C22semidirect
166. #2602C22semidirect
167. #2602C22semidirect
168. #2602C22semidirect
169. #2600C22semidirect
170. #2600C22semidirect
171. #2599C22semidirect
172. #2599C22semidirect
176. #2584C22semidirect
177. #2568C22semidirect
178. #2567C22semidirect
180. #2564C22semidirect
181. #2563C22semidirect
183. #2562C22semidirect
185. #2559C22semidirect
187. #2553C22semidirect
189. #2543C22semidirect
190. #2542C22semidirect
192. #2537C22semidirect
193. #2537C22semidirect
198. #2535C22semidirect
199. #2535C22semidirect
200. #2521C22semidirect
205. #2498C22semidirect
206. #2498C22semidirect
207. #2496C22semidirect
210. #2481C22semidirect
212. #2479C22semidirect
214. #2477C22semidirect
219. #2469C22semidirect
220. #2467C22semidirect
221. #2465C22semidirect
223. #2463C22semidirect
224. #2449C22semidirect
225. #2442C22semidirect
226. #2441C22semidirect
227. #2440C22semidirect
228. #2439C22semidirect
234. #2428C22semidirect
235. #2428C22semidirect
236. #2427C22semidirect
237. #2427C22semidirect
239. #2423C22semidirect
240. #2423C22semidirect
241. #2421C22semidirect
242. #2421C22semidirect
244. #2417C22semidirect
245. #2416C22semidirect
247. #2415C22semidirect
248. #2414C22semidirect
251. #2409C22semidirect
252. #2409C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2399C22semidirect
257. #2398C22semidirect
263. #2363C22semidirect
264. #2362C22semidirect
265. #2361C22semidirect
266. #2360C22semidirect
267. #2356C22semidirect
268. #2356C22semidirect
269. #2354C22semidirect
272. #2352C22semidirect
273. #2352C22semidirect
274. #2349C22semidirect
275. #2349C22semidirect
276. D4×C4⋊C4C22semidirect
278. #2343C22semidirect
280. #2325C22semidirect
281. #2325C22semidirect
282. #2324C22semidirect
283. #2323C22semidirect
284. #2323C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
292. #2295C22semidirect
294. #2290C22semidirect
295. #2290C22semidirect
297. #2283C22semidirect
298. C42×D4C22semidirect
300. C2×#376C22semidirect
438. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35242
C2×#34752
#426502
#426462
#424282
#424242
#423872
#423102
#421512
#419552
#399552
#399502
#399422
#399412
#398612
#398602
#383812
#383802
#375602
#375432
#364712
#364682
#362352
#362342
#360302
#360192
#357382
#357012
#353422
#352012
#351192
#351022
#349652
#348762
#341232