Finite Group Databasebeta

← #7658144

Subgroups — #7658144

Order 512.

6655 conjugacy classes of subgroups.

The subgroup lattice has 1879 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3495C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42995C211yesmaximal, characteristic, complemented
4#42994C211yesmaximal, characteristic, complemented
5#42965C211yesmaximal, characteristic, complemented
6#42964C211yesmaximal, characteristic, complemented
7#42675C212yesmaximal, complemented
8#42477C212yesmaximal, complemented
9#42392C212yesmaximal, complemented
10#42390C212yesmaximal, complemented
11#42316C212yesmaximal, complemented
12#42314C212yesmaximal, complemented
13#41415C214yesmaximal, complemented
14#41414C214yesmaximal, complemented
15#39890C212yesmaximal, complemented
16#39887C212yesmaximal, complemented
17#39874C214yesmaximal, complemented
18#39873C214yesmaximal, complemented
19#37545C212yesmaximal, complemented
20#37541C212yesmaximal, complemented
21#37449C211yesmaximal, characteristic, complemented
22#37445C211yesmaximal, characteristic, complemented
23#36443C212yesmaximal, complemented
24#36439C212yesmaximal, complemented
25#36089C211yesmaximal, characteristic, complemented
26#36083C211yesmaximal, characteristic, complemented
27#36015C212yesmaximal, complemented
28#36007C211yesmaximal, characteristic, complemented
29#35985C211yesmaximal, characteristic, complemented
30#35773C212yesmaximal, complemented
31#35210C212yesmaximal, complemented
32#35084C211yesmaximal, characteristic, complemented
33#34627C212yesmaximal, complemented
34#34562C211yesmaximal, characteristic, complemented
35#34179C211yesmaximal, characteristic, complemented
36#3495—216no—
37#3475—216no—
38C2×#556C2212yes—
39C2×#556C2211yescharacteristic
40C2×#555C2211yescharacteristic
41C2×#554C2211yescharacteristic
42C2×#554C2212yescomplemented
43C2×#553C2211yescharacteristic
44C2×#553C2211yescharacteristic
45C2×#552C2212yes—
46C2×#552C2212yes—
47C2×#552C2211yescharacteristic
48C2×#552C2211yescharacteristic
49C2×#552C2212yescomplemented
50C2×#552C2214yescomplemented
51C2×#551C2214yes—
52C2×#551C2212yes—
53C2×#551C2212yes—
54C2×#547C2211yescharacteristic
55C2×#546C2212yes—
56C2×#544C2211yescharacteristic, complemented
57C2×#542C2212yes—
58C2×#541C2212yes—
59C2×#536C2211yescharacteristic, complemented
60C2×#533C2211yescharacteristic
61C2×#533C2212yescomplemented
62C2×#529C2212yes—
63C2×#529C2212yes—
64C2×#529C2212yes—
65C2×#529C2212yescomplemented
66C2×#525C2211yescharacteristic
67C2×#525C2211yescharacteristic
68C2×#525C2211yescharacteristic
69C22×C22⋊Q8C2211yescharacteristic
70C2×#520C2211yescharacteristic, complemented
71C2×#519C2211yescharacteristic, complemented
72C2×C4×#41C2212yes—
73C2×C4×#41C2211yescharacteristic
74C22×C4×D4C2211yescharacteristic
75C22×#117C2211yescharacteristic
76C22×#117C2211yescharacteristic
77#2855C2212yes—
78#2852C2214yescomplemented
79#2852C2214yescomplemented
80#2848C2212yes—
81#2822C2212yescomplemented
82#2820C2212yescomplemented
83#2820C2212yescomplemented
84#2819C2212yescomplemented
85#2814C2212yes—
86#2814C2212yes—
87#2814C2214yes—
88#2814C2214yescomplemented
89#2812C2214yes—
90#2726C2214yescomplemented
91#2725C2214yescomplemented
92#2718C2214yes—
93#2718C2214yescomplemented
94#2710C2214yescomplemented
95#2707C2214yescomplemented
96#2706C2214yes—
97#2706C2214yes—
98#2704C2214yescomplemented
99#2704C2214yescomplemented
100#2703C2214yes—
101#2702C2214yescomplemented
102#2700C2214yescomplemented
103#2698C2214yes—
104#2698C2214yescomplemented
105#2689C2214yes—
106#2687C2214yes—
107#2685C2214yes—
108#2683C2214yescomplemented
109#2681C2214yes—
110#2681C2214yescomplemented
111#2680C2214yes—
112#2680C2214yes—
113#2678C2214yes—
114#2663C2212yes—
115#2663C2214yescomplemented
116#2661C2212yes—
117#2661C2214yes—
118#2660C2212yescomplemented
119#2660C2212yescomplemented
120#2640C2212yescomplemented
121#2640C2212yescomplemented
122#2638C2211yescharacteristic
123#2638C2211yescharacteristic
124#2638C2212yes—
125#2638C2212yes—
126#2638C2212yescomplemented
127#2638C2212yescomplemented
128#2638C2212yescomplemented
129#2637C2212yescomplemented
130#2637C2212yescomplemented
131#2637C2212yescomplemented
132#2637C2212yescomplemented
133#2635C2211yescharacteristic
134#2635C2211yescharacteristic
135#2635C2212yescomplemented
136#2634C2214yescomplemented
137#2633C2214yescomplemented
138#2630C2212yes—
139#2630C2212yes—
140#2630C2214yes—
141#2630C2214yescomplemented
142#2628C2212yescomplemented
143#2628C2212yescomplemented
144#2627C2211yescharacteristic
145#2626C2211yescharacteristic
146#2625C2214yescomplemented
147#2625C2211yescharacteristic, complemented
148#2624C2211yescharacteristic, complemented
149#2622C2212yes—
150#2622C2214yes—
151#2621C2212yescomplemented
152#2621C2212yescomplemented
153#2621C2212yescomplemented
154#2620C2212yescomplemented
155#2618C2211yescharacteristic
156#2617C2211yescharacteristic
157#2616C2214yes—
158#2616C2211yescharacteristic, complemented
159#2615C2211yescharacteristic, complemented
160#2613C2212yes—
161#2611C2212yescomplemented
162#2611C2212yescomplemented
163#2610C2212yescomplemented
164#2610C2212yescomplemented
165#2604C2212yescomplemented
166#2604C2212yescomplemented
167#2603C2212yescomplemented
168#2603C2212yescomplemented
169#2602C2214yes—
170#2602C2214yescomplemented
171#2602C2214yescomplemented
172#2601C2214yescomplemented
173#2601C2214yescomplemented
174#2599C2214yescomplemented
175#2599C2214yescomplemented
176#2599C2214yescomplemented
177#2598C2214yescomplemented
178#2583C2212yes—
179#2581C2212yescomplemented
180#2580C2212yescomplemented
181#2579C2214yescomplemented
182#2566C2214yescomplemented
183#2565C2214yescomplemented
184#2561C2212yes—
185#2560C2214yescomplemented
186#2558C2214yescomplemented
187#2556C2214yescomplemented
188#2554C2214yescomplemented
189#2552C2212yescomplemented
190#2550C2212yescomplemented
191#2542C2212yescomplemented
192#2540C2212yescomplemented
193#2536C2212yescomplemented
194#2535C2212yescomplemented
195#2519C2214yescomplemented
196#2519C2214yescomplemented
197#2512C2214yescomplemented
198#2506C2214yescomplemented
199#2504C2211yescharacteristic, complemented
200#2502C2211yescharacteristic, complemented
201#2500C2214yes—
202#2499C2212yes—
203#2499C2214yescomplemented
204#2492C2212yescomplemented
205#2490C2212yescomplemented
206#2489C2212yescomplemented
207#2489C2212yescomplemented
208#2486C2211yescharacteristic
209#2486C2211yescharacteristic
210#2485C2212yes—
211#2485C2214yescomplemented
212#2483C2212yes—
213#2480C2214yes—
214#2478C2214yes—
215#2478C2214yescomplemented
216#2476C2214yes—
217#2474C2214yes—
218#2474C2214yes—
219#2472C2214yes—
220#2470C2214yescomplemented
221#2468C2214yes—
222#2468C2214yescomplemented
223#2466C2214yes—
224#2464C2214yes—
225#2461C2214yes—
226#2461C2214yes—
227#2459C2214yes—
228#2457C2214yescomplemented
229#2453C2212yescomplemented
230#2452C2212yescomplemented
231#2451C2212yescomplemented
232#2451C2212yescomplemented
233#2442C2212yescomplemented
234#2440C2212yescomplemented
235#2440C2212yescomplemented
236#2439C2212yescomplemented
237#2436C2211yescharacteristic, complemented
238#2434C2211yescharacteristic, complemented
239#2432C2212yes—
240#2429C2212yescomplemented
241#2429C2212yescomplemented
242#2427C2212yescomplemented
243#2426C2212yescomplemented
244#2417C2212yescomplemented
245#2417C2212yescomplemented
246#2416C2212yescomplemented
247#2415C2212yes—
248#2415C2212yes—
249#2415C2212yescomplemented
250#2415C2212yescomplemented
251#2414C2212yescomplemented
252#2409C2211yescharacteristic
253#2409C2211yescharacteristic
254#2407C2212yes—
255#2407C2214yes—
256#2405C2212yes—
257#2399C2212yescomplemented
258#2399C2212yescomplemented
259#2398C2212yescomplemented
260#2398C2212yescomplemented
261#2395C2211yescharacteristic
262#2395C2211yescharacteristic
263#2395C2214yes—
264#2395C2214yescomplemented
265#2392C2212yes—
266#2392C2212yes—
267#2388C2211yescharacteristic
268#2388C2211yescharacteristic
269#2367C2212yescomplemented
270#2365C2212yescomplemented
271#2363C2212yescomplemented
272#2362C2212yescomplemented
273#2362C2212yescomplemented
274#2360C2212yescomplemented
275#2354C2212yescomplemented
276#2352C2212yescomplemented
277#2347C2212yes—
278#2347C2212yes—
279#2347C2214yescomplemented
280#2346C2212yes—
281#2346C2212yes—
282#2346C2211yescharacteristic, complemented
283#2346C2211yescharacteristic, complemented
284#2346C2211yescharacteristic, complemented
285#2346C2211yescharacteristic, complemented
286#2324C2214yescomplemented
287#2323C2214yescomplemented
288#2322C2212yes—
289#2322C2212yes—
290#2316C2212yescomplemented
291#2312C2214yes—
292C4×C22⋊Q8C2214yescomplemented
293C4×C22⋊Q8C2214yescomplemented
294C4×#123C2212yes—
295C4×#120C2212yes—
296#2283C2212yescomplemented
297#2283C2212yescomplemented
298#2280C2211yescharacteristic
299#2280C2211yescharacteristic
300#2274C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×D4C2311yescharacteristic
306C24×C4C2311yescharacteristic
307C24×C4C2311yescharacteristic
308#556—28no—
309#556—216no—
310#555—28no—
311#554—28no—
312#554—216no—
313#553—28no—
314#553—28no—
315#552—216no—
316#552—28no—
317#552—216no—
318#552—232no—
319#552—28no—
320#552—216no—
321#551—216no—
322#551—216no—
323#551—232no—
324#547—28no—
325#546—216no—
326#544—28no—
327#542—216no—
328#541—216no—
329#536—28no—
330#533—28no—
331#533—216no—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338#529—216no—
339#529—216no—
340#529—216no—
341#529—216no—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#126C2312yes—
345C2×#126C2312yes—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2314yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2311yescharacteristic
358C2×#125C2311yescharacteristic
359C2×#125C2314yes—
360C2×#125C2314yes—
361C2×#125C2312yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2314yes—
367C2×#124C2312yes—
368#525—28no—
369#525—28no—
370#525—28no—
371C2×#123C2314yes—
372C2×#123C2312yes—
373C2×#123C2312yes—
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×C22⋊Q8—28no—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×#121C2311yescharacteristic
414C2×#121C2311yescharacteristic
415C2×#121C2311yescharacteristic
416C2×#121C2311yescharacteristic
417C2×#121C2312yes—
418C2×#121C2311yescharacteristic
419C2×#121C2311yescharacteristic
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#120C2312yes—
425C2×#120C2312yes—
426C2×#120C2312yes—
427C2×#120C2312yes—
428#520—28no—
429#519—28no—
430C4×#41—28no—
431C4×#41—216no—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2314yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×D4—28no—
444C2×C4×D4C2312yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2314yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×#117—28no—
471C2×#117D4116yescomplemented
472C2×#117C2314yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2311yescharacteristic
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2311yescharacteristic
480C2×#117C2312yes—
481C2×#117C2314yes—
482C2×#117C2311yescharacteristic
483C2×#117C2311yescharacteristic
484C2×#117C2312yes—
485C2×#117C2314yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2311yescharacteristic
490C2×#117C2311yescharacteristic
491C2×#117C2311yescharacteristic
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2311yescharacteristic
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2311yescharacteristic
498C22×C4⋊C4C2311yescharacteristic
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2311yescharacteristic
501C22×C4⋊C4C2311yescharacteristic
502C22×C22⋊C4C2311yescharacteristic
503C22×C22⋊C4C2311yescharacteristic
504C22×C22⋊C4C2312yes—
505C22×C22⋊C4C2312yes—
506C22×C22⋊C4C2312yes—
507C22×C42C2312yes—
508C22×C42C2312yes—
509C22×C42C2311yescharacteristic
510C22×C42C2312yes—
511#400C2311yescharacteristic
512#400C2312yes—
513#400C2314yes—
514#400C2311yescharacteristic
515#400C2314yes—
516#400C2314yes—
517#400C2314yes—
518#400C2314yes—
519#399C2311yescharacteristic
520#399C2312yes—
521#399C2314yes—
522#399C2311yescharacteristic
523#399C2314yes—
524#399C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2312yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2312yes—
535#398C2314yes—
536#398C2312yes—
537#398C2314yes—
538#398C2314yes—
539#398C2312yes—
540#398C2311yescharacteristic
541#398C2311yescharacteristic
542#398C2312yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2312yes—
548#398C2312yes—
549#397C2314yes—
550#397C2312yes—
551#397C2312yes—
552#397C2314yes—
553#397C2312yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2312yes—
560#397C2311yescharacteristic
561#397C2311yescharacteristic
562#397C2314yes—
563#397C2312yes—
564#397C2314yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#395C2312yes—
589#395C2314yes—
590#395C2312yes—
591#395C2312yes—
592#395C2312yes—
593#395C2314yes—
594#395C2314yes—
595#395C2314yes—
596#395C2314yes—
597#395C2312yes—
598#395C2311yescharacteristic
599#395C2311yescharacteristic
600#394C2312yes—
601#394C2314yes—
602#394C2314yes—
603#394C2311yescharacteristic
604#394C2314yes—
605#394C2312yes—
606#394C2314yes—
607#394C2314yes—
608#394C2312yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2311yescharacteristic
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#393C2314yes—
631#393C2312yes—
632#393C2312yes—
633#393C2312yes—
634#393C2312yes—
635#393C2314yes—
636#393C2314yes—
637#393C2312yes—
638#393C2311yescharacteristic
639#393C2311yescharacteristic
640#392C2311yescharacteristic
641#392C2314yes—
642#392C2312yes—
643#392C2312yes—
644#392C2314yes—
645#392C2314yes—
646#392C2311yescharacteristic
647#392C2312yes—
648#392C2312yes—
649#392C2312yes—
650#392C2314yes—
651#391C2314yes—
652#391C2314yes—
653#391C2314yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2314yes—
661#391C2314yes—
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2314yes—
666#390C2314yes—
667#390C2314yes—
668#390C2314yes—
669#390C2314yes—
670#390C2312yes—
671#390C2312yes—
672#389C2314yes—
673#389C2314yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2314yes—
679#389C2314yes—
680#389C2314yes—
681#389C2314yes—
682#389C2314yes—
683#389C2314yes—
684#389C2312yes—
685#389C2312yes—
686#389C2314yes—
687#389C2314yes—
688#389C2314yes—
689#389C2312yes—
690#389C2312yes—
691#389C2314yes—
692#389C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2312yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2312yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#387C2314yes—
727#387C2312yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2312yes—
743#386C2314yes—
744#386C2312yes—
745#386C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2312yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2312yes—
754#386C2314yes—
755#386C2314yes—
756#386C2312yes—
757#386C2312yes—
758#385C2312yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
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#385C2312yes—
777#385C2312yes—
778#385C2312yes—
779#384C2314yes—
780#384C2314yes—
781#384C2312yes—
782#383C2314yes—
783#383C2314yes—
784#382C2312yes—
785#382C2312yes—
786#382C2314yes—
787#382C2314yes—
788#382C2312yes—
789#382C2312yes—
790#382C2312yes—
791#381C2314yes—
792#381C2312yes—
793#381C2312yes—
794#381C2312yes—
795#381C2311yescharacteristic
796#381C2311yescharacteristic
797#381C2312yes—
798#380C2314yes—
799#380C2314yes—
800#380C2314yes—
801#380C2312yes—
802#380C2314yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2311yescharacteristic
807#380C2311yescharacteristic
808#380C2311yescharacteristic
809#380C2311yescharacteristic
810#380C2312yes—
811#380C2312yes—
812#380C2314yes—
813#380C2314yes—
814#379C2314yes—
815#379C2312yes—
816#379C2312yes—
817#379C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847#376C2312yes—
848#376C2312yes—
849#376C2312yes—
850#376C2312yes—
851C25C2411yescharacteristic
852C25C2411yescharacteristic
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—44no—
860C22×Q8—24no—
861C22×Q8—44no—
862C22×Q8C2412yes—
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2414yes—
868C22×Q8C2412yes—
869C22×D4—24no—
870C22×D4—42no—
871C22×D4—42no—
872C22×D4C2411yescharacteristic
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C23×C4—24no—
890C23×C4—44no—
891C23×C4—44no—
892C23×C4C2×D418yes—
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C4⋊Q8—24no—
918C4⋊Q8—24no—
919C4⋊Q8—28no—
920C4⋊Q8—28no—
921C4⋊Q8—28no—
922C4⋊Q8—44no—
923#126—28no—
924#126—28no—
925#126—216no—
926#126—28no—
927#126—28no—
928#126—216no—
929#126—216no—
930#126—28no—
931#126—28no—
932#126—216no—
933#125—28no—
934#125—28no—
935#125—24no—
936#125—24no—
937#125—216no—
938#125—216no—
939#125—28no—
940#125—28no—
941#125—28no—
942#125—216no—
943#124—28no—
944#124—28no—
945#124—216no—
946#124—28no—
947#124—28no—
948#124—44no—
949#123—28no—
950#123—28no—
951#123—28no—
952#123—28no—
953#123—216no—
954#123—28no—
955#123—28no—
956#123—28no—
957#123—28no—
958#123—28no—
959#123—216no—
960#123—216no—
961#123—44no—
962#123—44no—
963#123—44no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—24no—
969C22⋊Q8—24no—
970C22⋊Q8—24no—
971C22⋊Q8—24no—
972C22⋊Q8—28no—
973C22⋊Q8—216no—
974C22⋊Q8—24no—
975C22⋊Q8—24no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—216no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—216no—
984C22⋊Q8—48no—
985C22⋊Q8—48no—
986C22⋊Q8—48no—
987C22⋊Q8—44no—
988C22⋊Q8—44no—
989C22⋊Q8—44no—
990#121—24no—
991#121—24no—
992#121—24no—
993#121—24no—
994#121—28no—
995#121—24no—
996#121—24no—
997#121—28no—
998#121—28no—
999#121—48no—
1000#121—44no—
1001#120—28no—
1002#120—28no—
1003#120—28no—
1004#120—44no—
1005C4×Q8—24no—
1006C4×Q8—24no—
1007C4×Q8—28no—
1008C4×Q8—28no—
1009C4×Q8—28no—
1010C4×Q8—28no—
1011C4×Q8—28no—
1012C4×Q8—28no—
1013C4×Q8—28no—
1014C4×Q8—28no—
1015C4×Q8—216no—
1016C4×D4—24no—
1017C4×D4—24no—
1018C4×D4—24no—
1019C4×D4—24no—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—24no—
1023C4×D4—24no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—216no—
1031C4×D4—24no—
1032C4×D4—24no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—216no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—44no—
1041C4×D4—44no—
1042#117—24no—
1043#117—28no—
1044#117—24no—
1045#117—216no—
1046#117—24no—
1047#117—24no—
1048#117—28no—
1049#117—28no—
1050#117—216no—
1051#117—28no—
1052#117—28no—
1053#117—28no—
1054#117—28no—
1055#117—216no—
1056#117—44no—
1057#117—44no—
1058#117C2×D418yes—
1059#117C2×D418yes—
1060#117C2×D418yes—
1061#117C2×D4116yes—
1062#117C2×D418yes—
1063#117C2×D4116yes—
1064C2×C4⋊C4—24no—
1065C2×C4⋊C4—24no—
1066C2×C4⋊C4—28no—
1067C2×C4⋊C4—24no—
1068C2×C4⋊C4—24no—
1069C2×C4⋊C4—28no—
1070C2×C4⋊C4C2×D418yes—
1071C2×C4⋊C4C2×D418yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C22⋊C4—24no—
1140C2×C22⋊C4—28no—
1141C2×C22⋊C4—24no—
1142C2×C22⋊C4—28no—
1143C2×C22⋊C4C2×D4116yes—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C42—24no—
1216C2×C42—28no—
1217C2×C42—28no—
1218C2×C42C2×D4116yes—
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2412yes—
1222C2×C42C2414yes—
1223C2×C42C2414yes—
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2414yes—
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2412yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2414yes—
1235C2×C42C2414yes—
1236C2×C42C2414yes—
1237C2×C42C2414yes—
1238C2×C42C2414yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243#95C2411yescharacteristic
1244#95C2412yes—
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2412yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294C24—22no—
1295C24—22no—
1296C24—42no—
1297C24—42no—
1298C24—41no—
1299C24—41no—
1300C24—41no—
1301C24—42no—
1302C24—42no—
1303C24C22×D414yes—
1304C24C2511yescharacteristic
1305C24C2512yes—
1306C24C2512yes—
1307C24C2511yescharacteristic
1308C24C2511yescharacteristic
1309C24C2511yescharacteristic
1310C24C2511yescharacteristic
1311#41—416no—
1312#41—416no—
1313#41—432no—
1314C2×Q8—24no—
1315C2×Q8—22no—
1316C2×Q8—24no—
1317C2×Q8—24no—
1318C2×Q8—22no—
1319C2×Q8—24no—
1320C2×Q8—28no—
1321C2×Q8—24no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—44no—
1326C2×Q8—42no—
1327C2×Q8—42no—
1328C2×Q8—44no—
1329C2×Q8—44no—
1330C2×Q8—44no—
1331C2×Q8—416no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—24no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—44no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—44no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—416no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—22no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—28no—
1405C22×C4—416no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—44no—
1413C22×C4—41no—
1414C22×C4—44no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—42no—
1427C22×C4—416no—
1428C22×C4C22×D414yes—
1429C22×C4C22×D414yes—
1430C22×C4C22×D414yes—
1431C22×C4C22×D414yes—
1432C22×C4C22×D418yes—
1433C22×C4C22×D418yes—
1434C22×C4C22×D414yes—
1435C22×C4C22×D414yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2514yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2514yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2514yes—
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2514yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—28no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—28no—
1476C4⋊C4—28no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—28no—
1487C4⋊C4—28no—
1488C4⋊C4—28no—
1489C4⋊C4—28no—
1490C4⋊C4—28no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—28no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—28no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—28no—
1503C4⋊C4—24no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—42no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4C22×D414yes—
1526C4⋊C4C22×D414yes—
1527C4⋊C4C22×D414yes—
1528C4⋊C4C22×D414yes—
1529C4⋊C4C22×D418yes—
1530C4⋊C4C22×D418yes—
1531C22⋊C4—22no—
1532C22⋊C4—24no—
1533C22⋊C4—28no—
1534C22⋊C4—22no—
1535C22⋊C4—22no—
1536C22⋊C4—22no—
1537C22⋊C4—28no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—22no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—22no—
1549C22⋊C4—22no—
1550C22⋊C4—22no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—28no—
1558C22⋊C4—28no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—28no—
1564C22⋊C4—24no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—44no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4C22×D418yes—
1599C22⋊C4C22×D418yes—
1600C22⋊C4C22×D418yes—
1601C22⋊C4C22×D418yes—
1602C42—22no—
1603C42—24no—
1604C42—22no—
1605C42—24no—
1606C42—24no—
1607C42—24no—
1608C42—22no—
1609C42—22no—
1610C42—24no—
1611C42—28no—
1612C42—28no—
1613C42—28no—
1614C42—24no—
1615C42—24no—
1616C42—24no—
1617C42—44no—
1618C42—44no—
1619C42—44no—
1620C42—44no—
1621C42—44no—
1622C42C22×D418yes—
1623C42C22×D418yes—
1624C42C22×D418yes—
1625C42C22×D418yes—
1626C23—21no—
1627C23—22no—
1628C23—22no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—22no—
1634C23—22no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—21no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—21no—
1648C23—22no—
1649C23—22no—
1650C23—24no—
1651C23—22no—
1652C23—21no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—24no—
1657C23—22no—
1658C23—22no—
1659C23—44no—
1660C23—44no—
1661C23—44no—
1662C23—44no—
1663C23—44no—
1664C23—82no—
1665C23—84no—
1666C23—84no—
1667C23—84no—
1668C23—84no—
1669C23C23×D412yes—
1670C23C23×D412yes—
1671C23C23×D412yes—
1672C23#58512yes—
1673C23C2611yescharacteristic
1674Q8—48no—
1675Q8—48no—
1676Q8—44no—
1677Q8—48no—
1678Q8—44no—
1679Q8—88no—
1680Q8—84no—
1681D4—28no—
1682D4—44no—
1683D4—48no—
1684D4—44no—
1685D4—44no—
1686D4—48no—
1687D4—44no—
1688D4—48no—
1689D4—48no—
1690D4—48no—
1691D4—44no—
1692D4—84no—
1693D4—84no—
1694D4—84no—
1695D4—84no—
1696D4—84no—
1697D4—164no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—28no—
1710C2×C4—28no—
1711C2×C4—28no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—24no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—44no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—48no—
1767C2×C4—48no—
1768C2×C4—48no—
1769C2×C4—44no—
1770C2×C4—48no—
1771C2×C4—44no—
1772C2×C4—44no—
1773C2×C4—48no—
1774C2×C4—44no—
1775C2×C4—48no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—48no—
1779C2×C4—88no—
1780C2×C4—84no—
1781C2×C4—84no—
1782C2×C4—84no—
1783C2×C4—82no—
1784C2×C4C23×D414yes—
1785C2×C4C23×D412yes—
1786C2×C4C23×D414yes—
1787C2×C4C23×D414yes—
1788C2×C4C23×D412yes—
1789C2×C4C23×D414yes—
1790C2×C4C23×D412yes—
1791C2×C4C23×D412yes—
1792C2×C4#58512yes—
1793C2×C4#58514yes—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—24no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—41no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—41no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—41no—
1817C22—42no—
1818C22—42no—
1819C22—41no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—44no—
1824C22—41no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—44no—
1830C22—42no—
1831C22—88no—
1832C22—88no—
1833C22C24×D411yescharacteristic
1834C22C2×#58511yescharacteristic
1835C22C2×#58511yescharacteristic
1836C22C2×#58512yes—
1837C222−1+612yes—
1838C4—24no—
1839C4—22no—
1840C4—24no—
1841C4—24no—
1842C4—24no—
1843C4—22no—
1844C4—22no—
1845C4—22no—
1846C4—41no—
1847C4—42no—
1848C4—44no—
1849C4—42no—
1850C4—41no—
1851C4—42no—
1852C4—41no—
1853C4—42no—
1854C4—42no—
1855C4—42no—
1856C4—44no—
1857C4—41no—
1858C4—41no—
1859C4—42no—
1860C4—42no—
1861C4—44no—
1862C4—42no—
1863C4—42no—
1864C4—44no—
1865C4#344914yes—
1866C2—42no—
1867C2—42no—
1868C2—42no—
1869C2—42no—
1870C2—82no—
1871C2—82no—
1872C2—81no—
1873C2C2×#344911yescharacteristic
1874C2#6281111yescharacteristic
1875C2#6285911yescharacteristic
1876C2#6291112yes—
1877C2#6293912yes—
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×#3495C2semidirect
2. C2×#3475C2semidirect
3. #42995C2semidirect
4. #42994C2semidirect
5. #42965C2semidirect
6. #42964C2semidirect
7. #42675C2semidirect
8. #42477C2semidirect
9. #42392C2semidirect
10. #42390C2semidirect
11. #42316C2semidirect
12. #42314C2semidirect
13. #41415C2semidirect
14. #41414C2semidirect
15. #39890C2semidirect
16. #39887C2semidirect
17. #39874C2semidirect
18. #39873C2semidirect
19. #37545C2semidirect
20. #37541C2semidirect
21. #37449C2semidirect
22. #37445C2semidirect
23. #36443C2semidirect
24. #36439C2semidirect
25. #36089C2semidirect
26. #36083C2semidirect
27. #36015C2semidirect
28. #36007C2semidirect
29. #35985C2semidirect
30. #35773C2semidirect
31. #35210C2semidirect
32. #35084C2semidirect
33. #34627C2semidirect
34. #34562C2semidirect
35. #34179C2semidirect
42. C2×#554C22semidirect
49. C2×#552C22semidirect
50. C2×#552C22semidirect
56. C2×#544C22semidirect
59. C2×#536C22semidirect
61. C2×#533C22semidirect
65. C2×#529C22semidirect
70. C2×#520C22semidirect
71. C2×#519C22semidirect
78. #2852C22semidirect
79. #2852C22semidirect
81. #2822C22semidirect
82. #2820C22semidirect
83. #2820C22semidirect
84. #2819C22semidirect
88. #2814C22semidirect
90. #2726C22semidirect
91. #2725C22semidirect
93. #2718C22semidirect
94. #2710C22semidirect
95. #2707C22semidirect
98. #2704C22semidirect
99. #2704C22semidirect
101. #2702C22semidirect
102. #2700C22semidirect
104. #2698C22semidirect
108. #2683C22semidirect
110. #2681C22semidirect
115. #2663C22semidirect
118. #2660C22semidirect
119. #2660C22semidirect
120. #2640C22semidirect
121. #2640C22semidirect
126. #2638C22semidirect
127. #2638C22semidirect
128. #2638C22semidirect
129. #2637C22semidirect
130. #2637C22semidirect
131. #2637C22semidirect
132. #2637C22semidirect
135. #2635C22semidirect
136. #2634C22semidirect
137. #2633C22semidirect
141. #2630C22semidirect
142. #2628C22semidirect
143. #2628C22semidirect
146. #2625C22semidirect
147. #2625C22semidirect
148. #2624C22semidirect
151. #2621C22semidirect
152. #2621C22semidirect
153. #2621C22semidirect
154. #2620C22semidirect
158. #2616C22semidirect
159. #2615C22semidirect
161. #2611C22semidirect
162. #2611C22semidirect
163. #2610C22semidirect
164. #2610C22semidirect
165. #2604C22semidirect
166. #2604C22semidirect
167. #2603C22semidirect
168. #2603C22semidirect
170. #2602C22semidirect
171. #2602C22semidirect
172. #2601C22semidirect
173. #2601C22semidirect
174. #2599C22semidirect
175. #2599C22semidirect
176. #2599C22semidirect
177. #2598C22semidirect
179. #2581C22semidirect
180. #2580C22semidirect
181. #2579C22semidirect
182. #2566C22semidirect
183. #2565C22semidirect
185. #2560C22semidirect
186. #2558C22semidirect
187. #2556C22semidirect
188. #2554C22semidirect
189. #2552C22semidirect
190. #2550C22semidirect
191. #2542C22semidirect
192. #2540C22semidirect
193. #2536C22semidirect
194. #2535C22semidirect
195. #2519C22semidirect
196. #2519C22semidirect
197. #2512C22semidirect
198. #2506C22semidirect
199. #2504C22semidirect
200. #2502C22semidirect
203. #2499C22semidirect
204. #2492C22semidirect
205. #2490C22semidirect
206. #2489C22semidirect
207. #2489C22semidirect
211. #2485C22semidirect
215. #2478C22semidirect
220. #2470C22semidirect
222. #2468C22semidirect
228. #2457C22semidirect
229. #2453C22semidirect
230. #2452C22semidirect
231. #2451C22semidirect
232. #2451C22semidirect
233. #2442C22semidirect
234. #2440C22semidirect
235. #2440C22semidirect
236. #2439C22semidirect
237. #2436C22semidirect
238. #2434C22semidirect
240. #2429C22semidirect
241. #2429C22semidirect
242. #2427C22semidirect
243. #2426C22semidirect
244. #2417C22semidirect
245. #2417C22semidirect
246. #2416C22semidirect
249. #2415C22semidirect
250. #2415C22semidirect
251. #2414C22semidirect
257. #2399C22semidirect
258. #2399C22semidirect
259. #2398C22semidirect
260. #2398C22semidirect
264. #2395C22semidirect
269. #2367C22semidirect
270. #2365C22semidirect
271. #2363C22semidirect
272. #2362C22semidirect
273. #2362C22semidirect
274. #2360C22semidirect
275. #2354C22semidirect
276. #2352C22semidirect
279. #2347C22semidirect
282. #2346C22semidirect
283. #2346C22semidirect
284. #2346C22semidirect
285. #2346C22semidirect
286. #2324C22semidirect
287. #2323C22semidirect
290. #2316C22semidirect
292. C4×C22⋊Q8C22semidirect
293. C4×C22⋊Q8C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
300. #2274C22semidirect
471. C2×#117D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34952
C2×#34752
#429952
#429942
#429652
#429642
#426752
#424772
#423922
#423902
#423162
#423142
#414152
#414142
#398902
#398872
#398742
#398732
#375452
#375412
#374492
#374452
#364432
#364392
#360892
#360832
#360152
#360072
#359852
#357732
#352102
#350842
#346272
#345622
#341792