Finite Group Databasebeta

← #7655396

Subgroups — #7655396

Order 512.

6973 conjugacy classes of subgroups.

The subgroup lattice has 1915 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3480C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42891C211yesmaximal, characteristic, complemented
4#42887C211yesmaximal, characteristic, complemented
5#42814C211yesmaximal, characteristic, complemented
6#42810C211yesmaximal, characteristic, complemented
7#41425C212yesmaximal, complemented
8#41421C212yesmaximal, complemented
9#40606C212yesmaximal, complemented
10#40602C212yesmaximal, complemented
11#39861C212yesmaximal, complemented
12#39860C212yesmaximal, complemented
13#39856C212yesmaximal, complemented
14#39852C212yesmaximal, complemented
15#39849C214yesmaximal, complemented
16#39848C214yesmaximal, complemented
17#38376C214yesmaximal, complemented
18#38372C214yesmaximal, complemented
19#37545C211yesmaximal, characteristic, complemented
20#37541C212yesmaximal, complemented
21#36439C212yesmaximal, complemented
22#36438C212yesmaximal, complemented
23#36232C212yesmaximal, complemented
24#36228C212yesmaximal, complemented
25#36062C211yesmaximal, characteristic, complemented
26#36051C211yesmaximal, characteristic, complemented
27#35923C211yesmaximal, characteristic, complemented
28#35912C211yesmaximal, characteristic, complemented
29#35200C211yesmaximal, characteristic, complemented
30#35144C212yesmaximal, complemented
31#35144C212yesmaximal, complemented
32#35102C211yesmaximal, characteristic, complemented
33#34963C211yesmaximal, characteristic, complemented
34#34909C212yesmaximal, complemented
35#34195C211yesmaximal, characteristic, complemented
36#3480—216no—
37C2×#559C2212yes—
38C2×#559C2211yescharacteristic, complemented
39C2×#557C2211yescharacteristic, complemented
40#3475—216no—
41C2×#556C2211yescharacteristic
42C2×#556C2211yescharacteristic
43C2×#556C2212yescomplemented
44C2×#555C2211yescharacteristic
45C2×#554C2211yescharacteristic
46C2×#553C2211yescharacteristic
47C2×#553C2212yes—
48C2×#553C2212yes—
49C2×#553C2211yescharacteristic, complemented
50C2×#553C2212yescomplemented
51C2×#552C2212yes—
52C2×#552C2212yes—
53C2×#551C2214yes—
54C2×#550C2211yescharacteristic
55C2×#548C2211yescharacteristic
56C2×#548C2211yescharacteristic, complemented
57C2×#547C2211yescharacteristic
58C2×#546C2212yes—
59C2×#533C2211yescharacteristic
60C2×#532C2212yes—
61C2×#532C2211yescharacteristic, complemented
62C2×#529C2211yescharacteristic
63C2×#529C2212yes—
64C2×#529C2214yes—
65C2×#529C2212yes—
66C2×#529C2212yescomplemented
67C2×#529C2211yescharacteristic, complemented
68C2×#525C2212yes—
69C2×C4×#41C2212yes—
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2212yescomplemented
73C2×C4×#41C2211yescharacteristic, complemented
74C22×C4×Q8C2211yescharacteristic, complemented
75C22×C4×D4C2211yescharacteristic
76C22×#117C2212yes—
77#2852C2214yescomplemented
78#2852C2214yescomplemented
79#2852C2214yescomplemented
80#2852C2214yescomplemented
81#2851C2212yescomplemented
82#2851C2212yescomplemented
83#2848C2212yes—
84#2847C2212yes—
85#2822C2212yescomplemented
86#2820C2212yes—
87#2820C2212yescomplemented
88#2819C2212yes—
89#2814C2212yes—
90#2814C2212yes—
91#2723C2214yescomplemented
92#2722C2214yescomplemented
93#2721C2214yescomplemented
94#2717C2214yes—
95#2716C2214yescomplemented
96#2715C2214yescomplemented
97#2714C2214yescomplemented
98#2709C2214yes—
99#2708C2214yes—
100#2708C2214yes—
101#2695C2214yescomplemented
102#2692C2214yescomplemented
103#2691C2214yes—
104#2691C2214yescomplemented
105#2690C2214yescomplemented
106#2684C2214yes—
107#2677C2214yescomplemented
108#2676C2214yes—
109#2676C2214yescomplemented
110#2675C2214yes—
111#2671C2214yes—
112#2669C2214yes—
113#2668C2214yes—
114#2668C2214yes—
115#2663C2212yescomplemented
116#2663C2212yescomplemented
117#2661C2212yes—
118#2661C2212yes—
119#2660C2211yescharacteristic, complemented
120#2660C2211yescharacteristic, complemented
121#2640C2211yescharacteristic, complemented
122#2640C2211yescharacteristic, complemented
123#2638C2212yes—
124#2638C2212yes—
125#2638C2214yes—
126#2638C2214yescomplemented
127#2637C2214yescomplemented
128#2635C2214yescomplemented
129#2634C2212yescomplemented
130#2634C2212yescomplemented
131#2633C2212yes—
132#2633C2212yescomplemented
133#2632C2212yes—
134#2632C2212yescomplemented
135#2631C2212yes—
136#2631C2212yes—
137#2630C2214yescomplemented
138#2630C2214yescomplemented
139#2623C2212yes—
140#2613C2212yes—
141#2604C2214yescomplemented
142#2603C2214yes—
143#2603C2214yescomplemented
144#2601C2214yescomplemented
145#2601C2214yescomplemented
146#2600C2214yescomplemented
147#2600C2214yescomplemented
148#2599C2212yescomplemented
149#2599C2214yescomplemented
150#2599C2212yescomplemented
151#2599C2212yescomplemented
152#2599C2214yescomplemented
153#2599C2212yescomplemented
154#2598C2212yes—
155#2598C2212yes—
156#2598C2211yescharacteristic
157#2598C2211yescharacteristic
158#2598C2211yescharacteristic
159#2598C2211yescharacteristic
160#2598C2214yescomplemented
161#2598C2214yescomplemented
162#2581C2212yescomplemented
163#2580C2212yes—
164#2580C2212yescomplemented
165#2567C2211yescharacteristic, complemented
166#2566C2212yescomplemented
167#2565C2212yescomplemented
168#2564C2212yescomplemented
169#2564C2212yescomplemented
170#2564C2214yescomplemented
171#2563C2211yescharacteristic, complemented
172#2562C2211yescharacteristic
173#2562C2211yescharacteristic
174#2557C2214yescomplemented
175#2557C2214yescomplemented
176#2555C2214yescomplemented
177#2553C2214yescomplemented
178#2547C2211yescharacteristic, complemented
179#2546C2211yescharacteristic, complemented
180#2543C2212yes—
181#2543C2212yes—
182#2543C2214yescomplemented
183#2540C2211yescharacteristic
184#2540C2211yescharacteristic
185#2537C2212yescomplemented
186#2537C2212yescomplemented
187#2536C2212yes—
188#2536C2212yes—
189#2535C2212yes—
190#2535C2212yes—
191#2535C2212yes—
192#2535C2212yescomplemented
193#2535C2212yescomplemented
194#2521C2214yescomplemented
195#2500C2212yes—
196#2499C2212yes—
197#2499C2212yes—
198#2498C2214yescomplemented
199#2498C2212yescomplemented
200#2498C2212yescomplemented
201#2491C2214yescomplemented
202#2487C2211yescharacteristic
203#2487C2211yescharacteristic
204#2485C2212yes—
205#2485C2212yes—
206#2485C2214yescomplemented
207#2482C2212yes—
208#2480C2214yes—
209#2478C2214yes—
210#2476C2214yes—
211#2475C2214yescomplemented
212#2474C2214yes—
213#2473C2214yescomplemented
214#2472C2214yes—
215#2471C2214yes—
216#2470C2214yes—
217#2464C2214yescomplemented
218#2462C2214yescomplemented
219#2460C2214yescomplemented
220#2458C2214yes—
221#2456C2214yes—
222#2443C2214yes—
223#2442C2212yescomplemented
224#2441C2212yescomplemented
225#2440C2212yescomplemented
226#2439C2212yescomplemented
227#2432C2212yes—
228#2430C2212yes—
229#2430C2212yes—
230#2430C2214yescomplemented
231#2428C2212yescomplemented
232#2428C2212yescomplemented
233#2427C2212yescomplemented
234#2427C2212yescomplemented
235#2424C2214yes—
236#2423C2212yescomplemented
237#2423C2212yescomplemented
238#2422C2214yescomplemented
239#2421C2212yescomplemented
240#2421C2212yescomplemented
241#2418C2214yes—
242#2417C2212yescomplemented
243#2416C2212yescomplemented
244#2415C2212yescomplemented
245#2414C2212yescomplemented
246#2409C2212yescomplemented
247#2409C2212yescomplemented
248#2408C2211yescharacteristic
249#2408C2211yescharacteristic
250#2407C2212yescomplemented
251#2407C2214yescomplemented
252#2407C2212yescomplemented
253#2404C2212yes—
254#2398C2211yescharacteristic
255#2398C2211yescharacteristic
256#2397C2211yescharacteristic
257#2397C2211yescharacteristic
258#2395C2212yescomplemented
259#2395C2212yescomplemented
260#2388C2212yes—
261#2388C2212yes—
262#2363C2212yescomplemented
263#2362C2212yescomplemented
264#2361C2212yescomplemented
265#2360C2212yescomplemented
266#2356C2212yescomplemented
267#2354C2212yescomplemented
268#2353C2214yes—
269#2352C2212yescomplemented
270#2352C2212yescomplemented
271#2349C2212yescomplemented
272D4×C4⋊C4C2212yescomplemented
273#2347C2212yes—
274#2343C2214yescomplemented
275#2339C2212yes—
276#2327C2212yescomplemented
277#2326C2212yescomplemented
278#2325C2214yescomplemented
279#2325C2214yescomplemented
280#2325C2214yescomplemented
281#2325C2214yescomplemented
282#2321C2214yes—
283#2320C2211yescharacteristic, complemented
284#2320C2211yescharacteristic, complemented
285#2318C2212yes—
286#2318C2212yes—
287C4×C22⋊Q8C2214yescomplemented
288C4×#121C2212yes—
289C4×#121C2212yes—
290C4×#121C2214yescomplemented
291C4×#120C2212yes—
292C4×#120C2212yes—
293#2290C2214yescomplemented
294#2290C2214yescomplemented
295#2283C2211yescharacteristic
296#2283C2211yescharacteristic
297#2283C2212yescomplemented
298C2×#383C2212yescomplemented
299#2275C2211yescharacteristic, complemented
300#2275C2211yescharacteristic, complemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C24×C4C2312yes—
309#559—216no—
310#559—28no—
311#557—28no—
312#556—28no—
313#556—28no—
314#556—216no—
315#555—28no—
316#554—28no—
317#553—216no—
318#553—216no—
319#553—28no—
320#553—28no—
321#553—216no—
322#552—216no—
323#552—216no—
324#551—232no—
325#550—28no—
326#548—28no—
327#548—28no—
328#547—28no—
329#546—216no—
330#533—28no—
331#532—216no—
332#532—28no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×#127C2312yes—
339C2×#127C2311yescharacteristic
340#529—216no—
341#529—28no—
342#529—232no—
343#529—216no—
344#529—28no—
345#529—216no—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2314yes—
349C2×#126C2312yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#125C2311yescharacteristic
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2314yes—
361C2×#125C2311yescharacteristic
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2311yescharacteristic
365C2×#124C2312yes—
366C2×#124C2314yes—
367C2×#124C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372#525—216no—
373C2×#123C2312yes—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×#121C2311yescharacteristic
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2311yescharacteristic
404C2×#121C2314yes—
405C2×#121C2311yescharacteristic
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2311yescharacteristic
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422C2×#120C2312yes—
423C2×#120C2312yes—
424C4×#41—28no—
425C4×#41—216no—
426C4×#41—28no—
427C4×#41—216no—
428C4×#41D4116yescomplemented
429C2×C4×Q8—28no—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×D4—28no—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2314yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×#117—216no—
488C2×#117C2311yescharacteristic
489C2×#117C2311yescharacteristic
490C2×#117C2312yes—
491C2×#117C2314yes—
492C2×#117C2314yes—
493C2×#117C2311yescharacteristic
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2314yes—
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C22⋊C4C2312yes—
510C22×C22⋊C4C2314yes—
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513C22×C42C2314yes—
514C22×C42C2312yes—
515C22×C42C2312yes—
516C22×C42C2311yescharacteristic
517C22×C42C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2311yescharacteristic
521#400C2314yes—
522#400C2311yescharacteristic
523#400C2314yes—
524#400C2311yescharacteristic
525#400C2311yescharacteristic
526#400C2314yes—
527#399C2311yescharacteristic
528#399C2312yes—
529#399C2314yes—
530#399C2314yes—
531#399C2311yescharacteristic
532#399C2312yes—
533#399C2312yes—
534#399C2311yescharacteristic
535#399C2312yes—
536#399C2311yescharacteristic
537#399C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2312yes—
541#398C2312yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2312yes—
546#398C2314yes—
547#398C2312yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#397C2314yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2314yes—
556#397C2314yes—
557#397C2312yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2312yes—
569#397C2312yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#395C2312yes—
577#395C2312yes—
578#395C2314yes—
579#395C2312yes—
580#395C2312yes—
581#395C2314yes—
582#395C2314yes—
583#395C2314yes—
584#394C2312yes—
585#394C2312yes—
586#394C2314yes—
587#394C2314yes—
588#394C2311yescharacteristic
589#394C2314yes—
590#394C2311yescharacteristic
591#394C2311yescharacteristic
592#394C2311yescharacteristic
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#393C2312yes—
609#393C2312yes—
610#393C2312yes—
611#393C2314yes—
612#393C2312yes—
613#393C2314yes—
614#393C2312yes—
615#393C2312yes—
616#393C2314yes—
617#393C2314yes—
618#392C2311yescharacteristic
619#392C2312yes—
620#392C2314yes—
621#392C2312yes—
622#392C2311yescharacteristic
623#392C2311yescharacteristic
624#392C2311yescharacteristic
625#392C2314yes—
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2312yes—
633#392C2312yes—
634#391C2312yes—
635#391C2312yes—
636#391C2312yes—
637#391C2312yes—
638#391C2312yes—
639#391C2314yes—
640#391C2312yes—
641#391C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2314yes—
646#390C2314yes—
647#390C2312yes—
648#390C2312yes—
649#390C2314yes—
650#390C2314yes—
651#390C2314yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2314yes—
659#389C2314yes—
660#389C2312yes—
661#389C2312yes—
662#389C2314yes—
663#389C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2312yes—
738#386C2312yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#386C2314yes—
748#386C2314yes—
749#386C2312yes—
750#386C2312yes—
751#385C2312yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2312yes—
761#385C2312yes—
762#385C2312yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#385C2312yes—
778#384C2312yes—
779#384C2312yes—
780#384C2312yes—
781#383C2312yes—
782#383C2312yes—
783#383C2314yes—
784#383C2314yes—
785#383C2311yescharacteristic
786#383C2312yes—
787#383C2311yescharacteristic
788#382C2312yes—
789#382C2312yes—
790#382C2312yes—
791#382C2312yes—
792#382C2312yes—
793#382C2312yes—
794#382C2312yes—
795#381C2312yes—
796#381C2314yes—
797#381C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2311yescharacteristic
809#380C2311yescharacteristic
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2312yes—
817#380C2312yes—
818#379C2314yes—
819#379C2312yes—
820#379C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843#376C2311yescharacteristic
844#376C2311yescharacteristic
845#376C2312yes—
846#376C2314yes—
847C2×#95C2312yes—
848C2×#95C2312yes—
849C2×#95C2314yes—
850C2×#95C2314yes—
851C25C2412yes—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—42no—
857C2×#41—44no—
858C2×#41—48no—
859C2×#41—44no—
860C2×#41—42no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41C2×D418yes—
864C22×Q8—24no—
865C22×Q8—44no—
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2412yes—
873C22×D4—24no—
874C22×D4—44no—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2414yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C23×C4—28no—
900C23×C4—44no—
901C23×C4—44no—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2414yes—
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2414yes—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2414yes—
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C4⋊Q8—24no—
929C4⋊Q8—28no—
930C4⋊Q8—24no—
931C4⋊Q8—24no—
932C4⋊Q8—44no—
933#127—24no—
934#127—28no—
935#126—216no—
936#126—216no—
937#126—28no—
938#126—28no—
939#126—28no—
940#126—216no—
941#126—28no—
942#126—28no—
943#126—28no—
944#125—216no—
945#125—24no—
946#125—28no—
947#125—28no—
948#125—24no—
949#125—28no—
950#125—28no—
951#124—24no—
952#124—28no—
953#124—216no—
954#124—28no—
955#124—28no—
956#124—28no—
957#124—28no—
958#124—24no—
959#124—28no—
960#124—44no—
961#123—216no—
962#123—216no—
963#123—28no—
964#123—28no—
965#123—28no—
966#123—216no—
967#123—216no—
968#123—28no—
969#123—28no—
970#123—28no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—24no—
975C22⋊Q8—28no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—216no—
981C22⋊Q8—48no—
982C22⋊Q8—44no—
983C22⋊Q8—44no—
984#121—28no—
985#121—28no—
986#121—24no—
987#121—28no—
988#121—24no—
989#121—28no—
990#121—28no—
991#121—24no—
992#121—28no—
993#121—24no—
994#121—28no—
995#121—216no—
996#121—28no—
997#121—28no—
998#121—28no—
999#121—48no—
1000#121—44no—
1001#121—48no—
1002#121—44no—
1003#121—48no—
1004#121—48no—
1005#121—48no—
1006#121—44no—
1007#121—44no—
1008#120—216no—
1009#120—44no—
1010#120—48no—
1011#120—44no—
1012C4×Q8—24no—
1013C4×Q8—24no—
1014C4×Q8—24no—
1015C4×Q8—28no—
1016C4×Q8—28no—
1017C4×Q8—24no—
1018C4×Q8—28no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—24no—
1022C4×Q8—24no—
1023C4×Q8—28no—
1024C4×Q8—28no—
1025C4×Q8C2×D418yes—
1026C4×Q8C2×D418yes—
1027C4×D4—216no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—24no—
1031C4×D4—28no—
1032C4×D4—216no—
1033C4×D4—24no—
1034C4×D4—28no—
1035C4×D4—24no—
1036C4×D4—28no—
1037C4×D4—216no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—28no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—24no—
1049C4×D4—28no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—24no—
1056C4×D4—44no—
1057C4×D4—44no—
1058C4×D4—44no—
1059C4×D4—44no—
1060C4×D4—44no—
1061C4×D4—44no—
1062C4×D4—48no—
1063C4×D4—48no—
1064C4×D4C2×D4116yes—
1065C4×D4C2×D418yes—
1066C4×D4C2×D4116yes—
1067C4×D4C2×D418yes—
1068#117—28no—
1069#117—24no—
1070#117—28no—
1071#117—28no—
1072#117—28no—
1073#117—28no—
1074#117—24no—
1075#117—28no—
1076#117—216no—
1077#117—216no—
1078#117—24no—
1079#117—24no—
1080#117—28no—
1081#117—216no—
1082#117C2×D418yes—
1083#117C2×D4116yes—
1084C2×C4⋊C4—24no—
1085C2×C4⋊C4—28no—
1086C2×C4⋊C4—28no—
1087C2×C4⋊C4—24no—
1088C2×C4⋊C4—28no—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C22⋊C4—28no—
1147C2×C22⋊C4—216no—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C42—216no—
1219C2×C42—28no—
1220C2×C42—24no—
1221C2×C42—28no—
1222C2×C42—24no—
1223C2×C42C2×D418yes—
1224C2×C42C2×D4116yes—
1225C2×C42C2414yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2414yes—
1230C2×C42C2412yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2414yes—
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2411yescharacteristic
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2412yes—
1241C2×C42C2414yes—
1242C2×C42C2414yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2412yes—
1247C2×C42C2411yescharacteristic
1248C2×C42C2412yes—
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251C2×C42C2412yes—
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2412yes—
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—
1311C24C2511yescharacteristic
1312C24C2512yes—
1313C24C2511yescharacteristic
1314C24C2512yes—
1315C24C2512yes—
1316C24C2511yescharacteristic
1317#41—416no—
1318#41—432no—
1319#41—416no—
1320#41—432no—
1321#41—416no—
1322C2×Q8—24no—
1323C2×Q8—22no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—22no—
1327C2×Q8—24no—
1328C2×Q8—24no—
1329C2×Q8—24no—
1330C2×Q8—24no—
1331C2×Q8—22no—
1332C2×Q8—44no—
1333C2×Q8—41no—
1334C2×Q8—42no—
1335C2×Q8—44no—
1336C2×Q8—42no—
1337C2×Q8—42no—
1338C2×Q8—416no—
1339C2×Q8C22×D414yes—
1340C2×D4—24no—
1341C2×D4—28no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—28no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—28no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—28no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—22no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—41no—
1376C2×D4—42no—
1377C2×D4—41no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—41no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—44no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—42no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—416no—
1402C2×D4C22×D414yes—
1403C2×D4C22×D418yes—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—24no—
1409C22×C4—28no—
1410C22×C4—24no—
1411C22×C4—28no—
1412C22×C4—24no—
1413C22×C4—22no—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—22no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—28no—
1428C22×C4—24no—
1429C22×C4—22no—
1430C22×C4—24no—
1431C22×C4—22no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—44no—
1447C22×C4—41no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—41no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—432no—
1465C22×C4C22×D414yes—
1466C22×C4C22×D414yes—
1467C22×C4C22×D414yes—
1468C22×C4C22×D418yes—
1469C22×C4C22×D418yes—
1470C22×C4C22×D418yes—
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2514yes—
1474C22×C4C2514yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2511yescharacteristic
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C22×C4C2514yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2514yes—
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2512yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2512yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2511yescharacteristic
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C4⋊C4—22no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—28no—
1503C4⋊C4—28no—
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—22no—
1516C4⋊C4—24no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—28no—
1521C4⋊C4—28no—
1522C4⋊C4—24no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—28no—
1530C4⋊C4—28no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—28no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4C22×D414yes—
1553C4⋊C4C22×D414yes—
1554C4⋊C4C22×D418yes—
1555C4⋊C4C22×D418yes—
1556C22⋊C4—28no—
1557C22⋊C4—22no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—22no—
1561C22⋊C4—24no—
1562C22⋊C4—28no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—28no—
1568C22⋊C4—24no—
1569C22⋊C4—28no—
1570C22⋊C4—24no—
1571C22⋊C4—28no—
1572C22⋊C4—28no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—22no—
1577C22⋊C4—22no—
1578C22⋊C4—28no—
1579C22⋊C4—22no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—22no—
1585C22⋊C4—24no—
1586C22⋊C4—28no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
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—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—42no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4C22×D418yes—
1624C22⋊C4C22×D418yes—
1625C22⋊C4C22×D418yes—
1626C42—22no—
1627C42—28no—
1628C42—24no—
1629C42—22no—
1630C42—28no—
1631C42—24no—
1632C42—28no—
1633C42—22no—
1634C42—24no—
1635C42—22no—
1636C42—24no—
1637C42—22no—
1638C42—24no—
1639C42—22no—
1640C42—24no—
1641C42—24no—
1642C42—44no—
1643C42—44no—
1644C42—42no—
1645C42—42no—
1646C42C22×D418yes—
1647C42C22×D418yes—
1648C42C22×D414yes—
1649C42C22×D414yes—
1650C42C22×D414yes—
1651C42C22×D414yes—
1652C42C22×D418yes—
1653C23—22no—
1654C23—21no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—24no—
1660C23—21no—
1661C23—21no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—21no—
1667C23—22no—
1668C23—24no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—21no—
1673C23—22no—
1674C23—22no—
1675C23—21no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—24no—
1681C23—24no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—21no—
1688C23—48no—
1689C23—48no—
1690C23—84no—
1691C23—84no—
1692C23—84no—
1693C23—84no—
1694C23—84no—
1695C23C23×D412yes—
1696C23C23×D414yes—
1697C23#58514yes—
1698C23#58512yes—
1699C23C2611yescharacteristic
1700Q8—28no—
1701Q8—48no—
1702Q8—44no—
1703Q8—48no—
1704Q8—48no—
1705Q8—44no—
1706Q8—84no—
1707D4—28no—
1708D4—28no—
1709D4—48no—
1710D4—48no—
1711D4—48no—
1712D4—44no—
1713D4—48no—
1714D4—44no—
1715D4—44no—
1716D4—48no—
1717D4—48no—
1718D4—48no—
1719D4—44no—
1720D4—416no—
1721D4—44no—
1722D4—84no—
1723D4—88no—
1724D4—84no—
1725D4—84no—
1726D4—84no—
1727D4—84no—
1728D4—88no—
1729D4—84no—
1730D4—164no—
1731C2×C4—28no—
1732C2×C4—21no—
1733C2×C4—24no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—28no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—24no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—24no—
1766C2×C4—24no—
1767C2×C4—24no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—24no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—24no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—24no—
1778C2×C4—24no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—24no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—24no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—44no—
1795C2×C4—48no—
1796C2×C4—44no—
1797C2×C4—48no—
1798C2×C4—48no—
1799C2×C4—416no—
1800C2×C4—48no—
1801C2×C4—48no—
1802C2×C4—48no—
1803C2×C4—44no—
1804C2×C4—48no—
1805C2×C4—48no—
1806C2×C4—48no—
1807C2×C4—48no—
1808C2×C4—48no—
1809C2×C4—44no—
1810C2×C4—44no—
1811C2×C4—84no—
1812C2×C4—84no—
1813C2×C4—82no—
1814C2×C4—82no—
1815C2×C4—88no—
1816C2×C4—164no—
1817C2×C4—164no—
1818C2×C4C23×D412yes—
1819C2×C4C23×D412yes—
1820C2×C4C23×D414yes—
1821C2×C4C23×D414yes—
1822C2×C4C23×D414yes—
1823C2×C4C23×D412yes—
1824C2×C4C23×D412yes—
1825C2×C4C23×D412yes—
1826C2×C4C23×D412yes—
1827C2×C4#58512yes—
1828C2×C4#58514yes—
1829C22—24no—
1830C22—24no—
1831C22—24no—
1832C22—22no—
1833C22—24no—
1834C22—24no—
1835C22—24no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—24no—
1840C22—44no—
1841C22—42no—
1842C22—42no—
1843C22—44no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—41no—
1848C22—42no—
1849C22—41no—
1850C22—42no—
1851C22—44no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—44no—
1859C22—41no—
1860C22—42no—
1861C22—42no—
1862C22—41no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—41no—
1868C22—816no—
1869C22C24×D411yescharacteristic
1870C22C2×#58511yescharacteristic
1871C22C2×#58512yes—
1872C22C2×#58512yes—
1873C22C2×#58511yescharacteristic
1874C4—22no—
1875C4—22no—
1876C4—24no—
1877C4—22no—
1878C4—22no—
1879C4—24no—
1880C4—22no—
1881C4—22no—
1882C4—24no—
1883C4—42no—
1884C4—44no—
1885C4—42no—
1886C4—42no—
1887C4—44no—
1888C4—42no—
1889C4—41no—
1890C4—42no—
1891C4—44no—
1892C4—41no—
1893C4—42no—
1894C4—41no—
1895C4—44no—
1896C4—42no—
1897C4—41no—
1898C4—42no—
1899C4—41no—
1900C4—42no—
1901C4#344914yes—
1902C2—42no—
1903C2—44no—
1904C2—44no—
1905C2—42no—
1906C2—82no—
1907C2—81no—
1908C2—82no—
1909C2C2×#344911yescharacteristic
1910C2#6281111yescharacteristic
1911C2#6281111yescharacteristic
1912C2#6302712yes—
1913C2#6302912yes—
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×#3480C2semidirect
2. C2×#3475C2semidirect
3. #42891C2semidirect
4. #42887C2semidirect
5. #42814C2semidirect
6. #42810C2semidirect
7. #41425C2semidirect
8. #41421C2semidirect
9. #40606C2semidirect
10. #40602C2semidirect
11. #39861C2semidirect
12. #39860C2semidirect
13. #39856C2semidirect
14. #39852C2semidirect
15. #39849C2semidirect
16. #39848C2semidirect
17. #38376C2semidirect
18. #38372C2semidirect
19. #37545C2semidirect
20. #37541C2semidirect
21. #36439C2semidirect
22. #36438C2semidirect
23. #36232C2semidirect
24. #36228C2semidirect
25. #36062C2semidirect
26. #36051C2semidirect
27. #35923C2semidirect
28. #35912C2semidirect
29. #35200C2semidirect
30. #35144C2semidirect
31. #35144C2semidirect
32. #35102C2semidirect
33. #34963C2semidirect
34. #34909C2semidirect
35. #34195C2semidirect
38. C2×#559C22semidirect
39. C2×#557C22semidirect
43. C2×#556C22semidirect
49. C2×#553C22semidirect
50. C2×#553C22semidirect
56. C2×#548C22semidirect
61. C2×#532C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
72. C2×C4×#41C22semidirect
73. C2×C4×#41C22semidirect
74. C22×C4×Q8C22semidirect
77. #2852C22semidirect
78. #2852C22semidirect
79. #2852C22semidirect
80. #2852C22semidirect
81. #2851C22semidirect
82. #2851C22semidirect
85. #2822C22semidirect
87. #2820C22semidirect
91. #2723C22semidirect
92. #2722C22semidirect
93. #2721C22semidirect
95. #2716C22semidirect
96. #2715C22semidirect
97. #2714C22semidirect
101. #2695C22semidirect
102. #2692C22semidirect
104. #2691C22semidirect
105. #2690C22semidirect
107. #2677C22semidirect
109. #2676C22semidirect
115. #2663C22semidirect
116. #2663C22semidirect
119. #2660C22semidirect
120. #2660C22semidirect
121. #2640C22semidirect
122. #2640C22semidirect
126. #2638C22semidirect
127. #2637C22semidirect
128. #2635C22semidirect
129. #2634C22semidirect
130. #2634C22semidirect
132. #2633C22semidirect
134. #2632C22semidirect
137. #2630C22semidirect
138. #2630C22semidirect
141. #2604C22semidirect
143. #2603C22semidirect
144. #2601C22semidirect
145. #2601C22semidirect
146. #2600C22semidirect
147. #2600C22semidirect
148. #2599C22semidirect
149. #2599C22semidirect
150. #2599C22semidirect
151. #2599C22semidirect
152. #2599C22semidirect
153. #2599C22semidirect
160. #2598C22semidirect
161. #2598C22semidirect
162. #2581C22semidirect
164. #2580C22semidirect
165. #2567C22semidirect
166. #2566C22semidirect
167. #2565C22semidirect
168. #2564C22semidirect
169. #2564C22semidirect
170. #2564C22semidirect
171. #2563C22semidirect
174. #2557C22semidirect
175. #2557C22semidirect
176. #2555C22semidirect
177. #2553C22semidirect
178. #2547C22semidirect
179. #2546C22semidirect
182. #2543C22semidirect
185. #2537C22semidirect
186. #2537C22semidirect
192. #2535C22semidirect
193. #2535C22semidirect
194. #2521C22semidirect
198. #2498C22semidirect
199. #2498C22semidirect
200. #2498C22semidirect
201. #2491C22semidirect
206. #2485C22semidirect
211. #2475C22semidirect
213. #2473C22semidirect
217. #2464C22semidirect
218. #2462C22semidirect
219. #2460C22semidirect
223. #2442C22semidirect
224. #2441C22semidirect
225. #2440C22semidirect
226. #2439C22semidirect
230. #2430C22semidirect
231. #2428C22semidirect
232. #2428C22semidirect
233. #2427C22semidirect
234. #2427C22semidirect
236. #2423C22semidirect
237. #2423C22semidirect
238. #2422C22semidirect
239. #2421C22semidirect
240. #2421C22semidirect
242. #2417C22semidirect
243. #2416C22semidirect
244. #2415C22semidirect
245. #2414C22semidirect
246. #2409C22semidirect
247. #2409C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
258. #2395C22semidirect
259. #2395C22semidirect
262. #2363C22semidirect
263. #2362C22semidirect
264. #2361C22semidirect
265. #2360C22semidirect
266. #2356C22semidirect
267. #2354C22semidirect
269. #2352C22semidirect
270. #2352C22semidirect
271. #2349C22semidirect
272. D4×C4⋊C4C22semidirect
274. #2343C22semidirect
276. #2327C22semidirect
277. #2326C22semidirect
278. #2325C22semidirect
279. #2325C22semidirect
280. #2325C22semidirect
281. #2325C22semidirect
283. #2320C22semidirect
284. #2320C22semidirect
287. C4×C22⋊Q8C22semidirect
290. C4×#121C22semidirect
293. #2290C22semidirect
294. #2290C22semidirect
297. #2283C22semidirect
298. C2×#383C22semidirect
299. #2275C22semidirect
300. #2275C22semidirect
428. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34802
C2×#34752
#428912
#428872
#428142
#428102
#414252
#414212
#406062
#406022
#398612
#398602
#398562
#398522
#398492
#398482
#383762
#383722
#375452
#375412
#364392
#364382
#362322
#362282
#360622
#360512
#359232
#359122
#352002
#351442
#351022
#349632
#349092
#341952