Finite Group Databasebeta

← #7732429

Subgroups — #7732429

Order 512.

7033 conjugacy classes of subgroups.

The subgroup lattice has 2005 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3552C211yesmaximal, characteristic, complemented
2C2×#3460C211yesmaximal, characteristic, complemented
3#51328C214yesmaximal, complemented
4#50872C214yesmaximal, complemented
5#47210C214yesmaximal, complemented
6#46823C214yesmaximal, complemented
7#45289C212yesmaximal, complemented
8#45245C212yesmaximal, complemented
9#45094C212yesmaximal, complemented
10#45093C212yesmaximal, complemented
11#39471C211yesmaximal, characteristic, complemented
12#39470C212yesmaximal, complemented
13#39468C211yesmaximal, characteristic, complemented
14#39462C212yesmaximal, complemented
15#39427C212yesmaximal, complemented
16#39418C212yesmaximal, complemented
17#39382C212yesmaximal, complemented
18#39357C212yesmaximal, complemented
19#39127C211yesmaximal, characteristic, complemented
20#39124C211yesmaximal, characteristic, complemented
21#37846C212yesmaximal, complemented
22#37838C212yesmaximal, complemented
23#37621C211yesmaximal, characteristic, complemented
24#37279C212yesmaximal, complemented
25#37271C212yesmaximal, complemented
26#36505C211yesmaximal, characteristic, complemented
27#36444C211yesmaximal, characteristic, complemented
28#36161C211yesmaximal, characteristic, complemented
29#36153C211yesmaximal, characteristic, complemented
30#35568C212yesmaximal, complemented
31#35542C212yesmaximal, complemented
32#35316C211yesmaximal, characteristic, complemented
33#35289C211yesmaximal, characteristic, complemented
34#34911C211yesmaximal, characteristic, complemented
35#34242C211yesmaximal, characteristic, complemented
36#3552—216no—
37C2×#563C2214yescomplemented
38C2×#557C2211yescharacteristic, complemented
39C2×#556C2211yescharacteristic
40C2×#554C2212yescomplemented
41C2×#553C2212yescomplemented
42C2×D4×Q8C2211yescharacteristic, complemented
43C2×D4×Q8C2212yescomplemented
44C2×#548C2212yes—
45C2×#548C2212yes—
46C2×#547C2211yescharacteristic
47C2×#546C2212yes—
48#3460—216no—
49C2×#544C2211yescharacteristic
50C2×#544C2212yescomplemented
51C2×#542C2212yes—
52C2×#542C2211yescharacteristic
53C2×#542C2211yescharacteristic
54C2×#542C2212yescomplemented
55C2×#541C2212yescomplemented
56C2×#540C2211yescharacteristic
57C2×#540C2212yes—
58C2×#540C2211yescharacteristic
59C2×#539C2214yescomplemented
60C2×#538C2212yes—
61C2×#538C2212yes—
62C2×#537C2211yescharacteristic
63C2×#536C2212yes—
64C2×#536C2212yes—
65C2×#535C2211yescharacteristic
66C2×#535C2211yescharacteristic
67C2×#532C2212yes—
68C2×#532C2211yescharacteristic
69C2×#532C2211yescharacteristic
70C22×C4⋊Q8C2211yescharacteristic, complemented
71C2×#529C2212yes—
72C2×#529C2211yescharacteristic
73C2×#529C2211yescharacteristic
74C2×#529C2211yescharacteristic, complemented
75C2×#525C2212yes—
76C2×#525C2212yes—
77C2×C4×#41C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic
79C22×C4×D4C2211yescharacteristic
80#2862C2212yescomplemented
81#2858C2212yes—
82#2857C2211yescharacteristic
83#2857C2211yescharacteristic
84#2857C2211yescharacteristic, complemented
85#2857C2212yescomplemented
86#2857C2211yescharacteristic, complemented
87#2851C2212yescomplemented
88#2848C2212yes—
89#2847C2212yes—
90#2813C2214yescomplemented
91#2725C2214yescomplemented
92#2723C2214yes—
93#2723C2214yescomplemented
94#2719C2214yescomplemented
95#2716C2214yescomplemented
96#2716C2214yescomplemented
97#2715C2214yescomplemented
98#2714C2214yescomplemented
99#2714C2214yescomplemented
100#2710C2214yescomplemented
101#2710C2214yescomplemented
102#2707C2214yescomplemented
103#2706C2214yescomplemented
104#2703C2214yescomplemented
105#2700C2214yescomplemented
106#2700C2214yescomplemented
107#2699C2214yescomplemented
108#2698C2214yescomplemented
109#2696C2214yescomplemented
110#2694C2214yescomplemented
111#2694C2214yescomplemented
112#2692C2214yescomplemented
113#2691C2214yescomplemented
114#2690C2214yes—
115#2688C2214yescomplemented
116#2687C2214yescomplemented
117#2687C2214yescomplemented
118#2687C2214yescomplemented
119#2681C2214yes—
120#2681C2214yes—
121#2681C2214yescomplemented
122#2678C2214yes—
123#2678C2214yes—
124#2678C2214yes—
125#2677C2214yescomplemented
126#2676C2214yes—
127#2674C2214yes—
128#2673C2214yes—
129#2672C2214yes—
130#2670C2214yes—
131#2662C2214yescomplemented
132#2640C2214yescomplemented
133#2629C2212yescomplemented
134#2628C2212yescomplemented
135#2628C2212yescomplemented
136#2621C2212yes—
137#2621C2212yescomplemented
138#2619C2212yes—
139#2616C2212yescomplemented
140#2616C2212yescomplemented
141#2615C2212yescomplemented
142#2615C2212yescomplemented
143#2604C2212yescomplemented
144#2603C2212yes—
145#2602C2212yes—
146#2602C2212yescomplemented
147#2592C2211yescharacteristic, complemented
148#2584C2211yescharacteristic, complemented
149#2563C2212yescomplemented
150#2563C2212yescomplemented
151#2563C2212yescomplemented
152#2562C2211yescharacteristic
153#2562C2212yes—
154#2562C2212yescomplemented
155#2562C2212yescomplemented
156#2560C2214yes—
157#2560C2214yescomplemented
158#2557C2214yescomplemented
159#2557C2214yescomplemented
160#2554C2214yescomplemented
161#2554C2214yescomplemented
162#2553C2214yescomplemented
163#2550C2214yescomplemented
164#2549C2214yescomplemented
165#2547C2211yescharacteristic
166#2547C2211yescharacteristic
167#2547C2212yes—
168#2547C2212yes—
169#2547C2212yes—
170#2547C2211yescharacteristic, complemented
171#2547C2211yescharacteristic, complemented
172#2546C2212yescomplemented
173#2546C2212yescomplemented
174#2545C2212yes—
175#2544C2212yes—
176#2540C2212yes—
177#2540C2211yescharacteristic
178#2540C2212yescomplemented
179#2540C2212yescomplemented
180#2538C2211yescharacteristic
181#2538C2211yescharacteristic, complemented
182#2538C2212yescomplemented
183#2537C2211yescharacteristic
184#2537C2212yes—
185#2537C2211yescharacteristic, complemented
186#2536C2212yes—
187#2535C2212yescomplemented
188#2519C2214yescomplemented
189#2504C2214yescomplemented
190#2492C2212yescomplemented
191#2492C2214yescomplemented
192#2491C2214yes—
193#2491C2214yes—
194#2490C2214yescomplemented
195#2490C2214yescomplemented
196#2489C2214yes—
197#2489C2212yescomplemented
198#2488C2214yescomplemented
199#2488C2214yescomplemented
200#2487C2212yescomplemented
201#2486C2212yes—
202#2486C2212yes—
203#2486C2212yes—
204#2486C2212yescomplemented
205#2486C2212yescomplemented
206#2485C2212yes—
207#2485C2212yescomplemented
208#2480C2214yes—
209#2475C2214yescomplemented
210#2472C2214yes—
211#2472C2214yes—
212#2472C2214yes—
213#2466C2214yes—
214#2464C2214yes—
215#2464C2214yes—
216#2464C2214yes—
217#2460C2214yes—
218#2459C2214yescomplemented
219#2457C2214yescomplemented
220#2456C2214yescomplemented
221#2453C2212yescomplemented
222#2452C2214yescomplemented
223#2451C2212yescomplemented
224#2447C2212yes—
225#2446C2212yescomplemented
226#2445C2214yes—
227#2444C2214yescomplemented
228#2436C2212yes—
229#2436C2212yes—
230#2436C2212yescomplemented
231#2435C2212yes—
232#2432C2212yes—
233#2431C2212yes—
234#2429C2212yescomplemented
235#2427C2212yes—
236#2427C2212yes—
237#2427C2214yes—
238#2427C2212yescomplemented
239#2426C2212yes—
240#2426C2212yescomplemented
241#2425C2214yes—
242#2420C2214yescomplemented
243#2418C2214yes—
244#2417C2212yes—
245#2417C2212yescomplemented
246#2416C2212yes—
247#2415C2212yes—
248#2415C2212yes—
249#2415C2211yescharacteristic
250#2415C2211yescharacteristic, complemented
251#2415C2214yescomplemented
252#2414C2212yes—
253#2414C2211yescharacteristic
254#2414C2211yescharacteristic, complemented
255#2414C2212yescomplemented
256#2414C2212yescomplemented
257#2412C2214yes—
258#2409C2212yescomplemented
259#2407C2212yes—
260#2395C2212yescomplemented
261#2388C2212yes—
262#2373C2214yescomplemented
263#2367C2212yes—
264#2367C2212yescomplemented
265#2363C2212yes—
266#2362C2212yes—
267#2362C2212yescomplemented
268#2360C2212yes—
269#2355C2211yescharacteristic, complemented
270#2354C2211yescharacteristic
271#2354C2212yescomplemented
272#2352C2212yescomplemented
273Q8×C4⋊C4C2211yescharacteristic, complemented
274D4×C4⋊C4C2211yescharacteristic
275Q8×C22⋊C4C2212yescomplemented
276#2339C2212yes—
277#2335C2214yescomplemented
278#2324C2212yescomplemented
279#2323C2212yescomplemented
280#2314C2212yescomplemented
281#2311C2212yescomplemented
282#2311C2212yescomplemented
283#2311C2212yescomplemented
284#2311C2212yescomplemented
285#2310C2212yescomplemented
286C4×#125C2212yescomplemented
287C4×#124C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×C22⋊Q8C2212yescomplemented
291C4×#121C2211yescharacteristic
292C4×#121C2212yescomplemented
293C4×#121C2211yescharacteristic, complemented
294#2293C2212yes—
295#2293C2212yescomplemented
296#2285C2211yescharacteristic, complemented
297#2280C2212yes—
298C2×#380C2212yes—
299#2274C2212yescomplemented
300C4×#117C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C23×Q8C2312yes—
307C23×Q8C2312yes—
308C23×D4C2311yescharacteristic
309C24×C4C2312yes—
310#563—232no—
311#557—28no—
312#556—28no—
313#554—216no—
314#553—216no—
315D4×Q8—216no—
316D4×Q8—28no—
317#548—216no—
318#548—48no—
319#547—28no—
320#546—48no—
321#544—28no—
322#544—216no—
323#542—216no—
324#542—28no—
325#542—28no—
326#542—216no—
327#541—216no—
328#540—28no—
329#540—216no—
330#540—28no—
331#539—232no—
332#538—216no—
333#538—216no—
334#537—28no—
335#536—216no—
336#536—48no—
337#535—28no—
338#535—28no—
339#532—216no—
340#532—28no—
341#532—28no—
342C2×C4⋊Q8—28no—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2314yes—
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2314yes—
355C2×#127C2311yescharacteristic
356C2×#127C2312yes—
357C2×#127C2311yescharacteristic
358#529—28no—
359#529—216no—
360#529—28no—
361#529D4116yescomplemented
362C2×#126C2314yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2314yes—
368C2×#126C2314yes—
369C2×#126C2312yes—
370C2×#125C2311yescharacteristic
371C2×#125C2312yes—
372C2×#125C2311yescharacteristic
373C2×#125C2312yes—
374C2×#125C2314yes—
375C2×#125C2314yes—
376C2×#125C2314yes—
377C2×#125C2311yescharacteristic
378C2×#124C2311yescharacteristic
379C2×#124C2312yes—
380C2×#124C2314yes—
381C2×#124C2312yes—
382C2×#124C2311yescharacteristic
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#124C2312yes—
389C2×#124C2312yes—
390C2×#124C2312yes—
391C2×#124C2314yes—
392C2×#124C2314yes—
393C2×#124C2311yescharacteristic
394#525—216no—
395#525—216no—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2314yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2314yes—
406C2×#123C2314yes—
407C2×#123C2314yes—
408C2×#123C2314yes—
409C2×#123C2314yes—
410C2×#123C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2314yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2314yes—
427C2×C22⋊Q8C2314yes—
428C2×C22⋊Q8C2314yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2314yes—
434C2×C22⋊Q8C2311yescharacteristic
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2311yescharacteristic
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2311yescharacteristic
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2311yescharacteristic
445C2×#121C2311yescharacteristic
446C2×#121C2312yes—
447C2×#121C2311yescharacteristic
448C2×#121C2314yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2311yescharacteristic
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2311yescharacteristic
458C2×#121C2311yescharacteristic
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2314yes—
463C2×#121C2314yes—
464C2×#121C2311yescharacteristic
465C2×#120C2312yes—
466C2×#120C2312yes—
467C2×#120C2312yes—
468C2×#120C2312yes—
469C2×#120C2314yes—
470C4×#41—28no—
471C4×#41—28no—
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2312yes—
477C2×C4×Q8C2312yes—
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2312yes—
480C2×C4×Q8C2311yescharacteristic
481C2×C4×D4—28no—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2312yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2314yes—
505C2×C4×D4C2314yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2314yes—
509C2×C4×D4C2311yescharacteristic
510C2×C4×D4C2312yes—
511C2×#117C2311yescharacteristic
512C2×#117C2312yes—
513C2×#117C2312yes—
514C2×#117C2311yescharacteristic
515C2×#117C2312yes—
516C2×#117C2311yescharacteristic
517C2×#117C2311yescharacteristic
518C2×#117C2312yes—
519C2×#117C2312yes—
520C2×#117C2311yescharacteristic
521C2×#117C2311yescharacteristic
522C2×#117C2312yes—
523C2×#117C2312yes—
524C22×C4⋊C4C2312yes—
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2311yescharacteristic
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2312yes—
529C22×C22⋊C4C2312yes—
530C22×C22⋊C4C2314yes—
531C22×C42C2312yes—
532C22×C42C2311yescharacteristic
533C22×C42C2311yescharacteristic
534C22×C42C2311yescharacteristic
535#400C2312yes—
536#400C2314yes—
537#400C2314yes—
538#400C2314yes—
539#400C2314yes—
540#400C2314yes—
541#399C2312yes—
542#399C2314yes—
543#399C2314yes—
544#399C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2312yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#397C2314yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#395C2312yes—
582#395C2314yes—
583#395C2314yes—
584#395C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2312yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2312yes—
592#394C2312yes—
593#394C2312yes—
594#394C2312yes—
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#394C2314yes—
609#393C2314yes—
610#393C2314yes—
611#393C2314yes—
612#393C2314yes—
613#393C2314yes—
614#393C2314yes—
615#393C2314yes—
616#393C2312yes—
617#393C2314yes—
618#393C2314yes—
619#392C2312yes—
620#392C2312yes—
621#392C2312yes—
622#392C2314yes—
623#392C2314yes—
624#392C2314yes—
625#392C2314yes—
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#392C2314yes—
630#392C2314yes—
631#391C2314yes—
632#391C2314yes—
633#391C2312yes—
634#391C2312yes—
635#391C2312yes—
636#391C2312yes—
637#391C2314yes—
638#391C2314yes—
639#391C2314yes—
640#391C2314yes—
641#391C2311yescharacteristic
642#391C2311yescharacteristic
643#391C2312yes—
644#391C2314yes—
645#391C2312yes—
646#391C2314yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#390C2312yes—
651#390C2314yes—
652#390C2314yes—
653#390C2314yes—
654#390C2314yes—
655#390C2314yes—
656#390C2314yes—
657#390C2314yes—
658#390C2314yes—
659#390C2311yescharacteristic
660#390C2314yes—
661#390C2314yes—
662#390C2311yescharacteristic
663#390C2312yes—
664#390C2312yes—
665#390C2312yes—
666#390C2312yes—
667#390C2312yes—
668#390C2312yes—
669#390C2314yes—
670#390C2314yes—
671#390C2314yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2314yes—
676#389C2312yes—
677#389C2311yescharacteristic
678#389C2311yescharacteristic
679#389C2312yes—
680#389C2312yes—
681#389C2311yescharacteristic
682#389C2311yescharacteristic
683#389C2314yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2314yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2312yes—
693#389C2312yes—
694#389C2314yes—
695#389C2312yes—
696#389C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#388C2312yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2312yes—
716#388C2312yes—
717#388C2312yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#388C2312yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2312yes—
739#387C2312yes—
740#387C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2312yes—
756#386C2312yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2312yes—
770#385C2312yes—
771#385C2314yes—
772#385C2314yes—
773#384C2312yes—
774#384C2311yescharacteristic
775#384C2311yescharacteristic
776#382C2312yes—
777#382C2314yes—
778#382C2314yes—
779#382C2314yes—
780#382C2312yes—
781#381C2314yes—
782#381C2314yes—
783#381C2314yes—
784#381C2314yes—
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2311yescharacteristic
789#380C2312yes—
790#380C2312yes—
791#380C2311yescharacteristic
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2314yes—
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2314yes—
818#380C2314yes—
819#380C2314yes—
820#379C2314yes—
821#379C2314yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2312yes—
851#376C2312yes—
852C2×#95C2314yes—
853C43C2312yes—
854C25C2412yes—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—42no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41—42no—
868C2×#41—44no—
869C2×#41—44no—
870C22×Q8—28no—
871C22×Q8—28no—
872C22×Q8—44no—
873C22×Q8—44no—
874C22×Q8—44no—
875C22×Q8—44no—
876C22×Q8C2411yescharacteristic
877C22×Q8C2412yes—
878C22×Q8C2412yes—
879C22×Q8C2411yescharacteristic
880C22×Q8C2411yescharacteristic
881C22×Q8C2414yes—
882C22×Q8C2414yes—
883C22×Q8C2412yes—
884C22×Q8C2412yes—
885C22×D4—24no—
886C22×D4—24no—
887C22×D4—42no—
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2411yescharacteristic
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2414yes—
910C22×D4C2412yes—
911C22×D4C2414yes—
912C22×D4C2412yes—
913C23×C4—28no—
914C23×C4—44no—
915C23×C4—44no—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2414yes—
929C23×C4C2412yes—
930C23×C4C2414yes—
931C23×C4C2414yes—
932C23×C4C2412yes—
933C23×C4C2411yescharacteristic
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2414yes—
937C23×C4C2411yescharacteristic
938C4⋊Q8—28no—
939C4⋊Q8—28no—
940C4⋊Q8—24no—
941C4⋊Q8—216no—
942C4⋊Q8—28no—
943C4⋊Q8—28no—
944C4⋊Q8—24no—
945C4⋊Q8—24no—
946C4⋊Q8—28no—
947C4⋊Q8—24no—
948C4⋊Q8—28no—
949C4⋊Q8—48no—
950#127—28no—
951#127—24no—
952#127—24no—
953#126—28no—
954#126—28no—
955#126—216no—
956#126—216no—
957#126—28no—
958#126—216no—
959#126—28no—
960#126C2×D4116yes—
961#125—28no—
962#125—24no—
963#125—216no—
964#125—216no—
965#125—216no—
966#125—24no—
967#125—28no—
968#125C2×D418yes—
969#124—24no—
970#124—28no—
971#124—28no—
972#124—28no—
973#124—28no—
974#124—28no—
975#124—216no—
976#124—24no—
977#124—28no—
978#124—44no—
979#124—44no—
980#124—44no—
981#124—44no—
982#124—48no—
983#124—48no—
984#124C2×D418yes—
985#123—28no—
986#123—28no—
987#123—28no—
988#123—28no—
989#123—28no—
990#123—28no—
991#123—28no—
992#123—28no—
993#123—216no—
994#123—216no—
995#123—216no—
996#123—48no—
997#123—48no—
998#123—48no—
999#123C2×D4116yes—
1000C22⋊Q8—24no—
1001C22⋊Q8—24no—
1002C22⋊Q8—28no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—216no—
1010C22⋊Q8—28no—
1011C22⋊Q8—28no—
1012C22⋊Q8—216no—
1013C22⋊Q8—28no—
1014C22⋊Q8—216no—
1015C22⋊Q8—216no—
1016C22⋊Q8—216no—
1017C22⋊Q8—216no—
1018C22⋊Q8—48no—
1019C22⋊Q8—44no—
1020C22⋊Q8—42no—
1021C22⋊Q8—44no—
1022C22⋊Q8—42no—
1023C22⋊Q8—44no—
1024C22⋊Q8—44no—
1025C22⋊Q8C2×D418yes—
1026#121—28no—
1027#121—24no—
1028#121—28no—
1029#121—216no—
1030#121—24no—
1031#121—24no—
1032#121—24no—
1033#121—28no—
1034#121—28no—
1035#121—28no—
1036#121—28no—
1037#121—24no—
1038#121—24no—
1039#121—28no—
1040#121—28no—
1041#121—28no—
1042#121—28no—
1043#121—28no—
1044#121—28no—
1045#121—48no—
1046#121—48no—
1047#121—44no—
1048#121—42no—
1049#121—42no—
1050#121—44no—
1051#121—44no—
1052#121—44no—
1053#121C2×D418yes—
1054#120—28no—
1055#120—28no—
1056#120—28no—
1057#120—28no—
1058#120—48no—
1059C4×Q8—24no—
1060C4×Q8—28no—
1061C4×Q8—28no—
1062C4×Q8—24no—
1063C4×Q8—24no—
1064C4×Q8—24no—
1065C4×Q8—28no—
1066C4×Q8—44no—
1067C4×Q8C2×D418yes—
1068C4×D4—24no—
1069C4×D4—216no—
1070C4×D4—28no—
1071C4×D4—24no—
1072C4×D4—24no—
1073C4×D4—24no—
1074C4×D4—24no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—24no—
1079C4×D4—28no—
1080C4×D4—24no—
1081C4×D4—28no—
1082C4×D4—216no—
1083C4×D4—24no—
1084C4×D4—28no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—24no—
1088C4×D4—28no—
1089C4×D4—28no—
1090C4×D4—24no—
1091C4×D4—28no—
1092C4×D4—44no—
1093C4×D4—44no—
1094C4×D4—48no—
1095C4×D4C2×D418yes—
1096C4×D4C2×D4116yes—
1097#117—24no—
1098#117—28no—
1099#117—24no—
1100#117—28no—
1101#117—24no—
1102#117—24no—
1103#117—28no—
1104#117—28no—
1105#117—42no—
1106#117—44no—
1107#117—42no—
1108#117—44no—
1109#117C2×D4116yes—
1110C2×C4⋊C4—28no—
1111C2×C4⋊C4—28no—
1112C2×C4⋊C4—28no—
1113C2×C4⋊C4—24no—
1114C2×C4⋊C4—44no—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2411yescharacteristic
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2412yes—
1179C2×C22⋊C4—28no—
1180C2×C22⋊C4—48no—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C42—24no—
1254C2×C42—28no—
1255C2×C42—24no—
1256C2×C42C2×D418yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263C2×C42C2414yes—
1264C2×C42C2411yescharacteristic
1265C2×C42C2412yes—
1266C2×C42C2414yes—
1267C2×C42C2412yes—
1268C2×C42C2411yescharacteristic
1269C2×C42C2412yes—
1270C2×C42C2414yes—
1271C2×C42C2412yes—
1272C2×C42C2412yes—
1273C2×C42C2414yes—
1274C2×C42C2414yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2414yes—
1278C2×C42C2411yescharacteristic
1279C2×C42C2412yes—
1280C2×C42C2411yescharacteristic
1281C2×C42C2411yescharacteristic
1282C2×C42C2411yescharacteristic
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2412yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327C24—24no—
1328C24—24no—
1329C24—42no—
1330C24—42no—
1331C24—42no—
1332C24—42no—
1333C24—42no—
1334C24C2512yes—
1335C24C2512yes—
1336C24C2511yescharacteristic
1337C24C2512yes—
1338C24C2512yes—
1339C24C2511yescharacteristic
1340C24C2511yescharacteristic
1341#41—416no—
1342#41—416no—
1343#41—816no—
1344#41—816no—
1345#41—816no—
1346C2×Q8—22no—
1347C2×Q8—22no—
1348C2×Q8—24no—
1349C2×Q8—24no—
1350C2×Q8—28no—
1351C2×Q8—24no—
1352C2×Q8—24no—
1353C2×Q8—28no—
1354C2×Q8—22no—
1355C2×Q8—24no—
1356C2×Q8—24no—
1357C2×Q8—22no—
1358C2×Q8—22no—
1359C2×Q8—22no—
1360C2×Q8—22no—
1361C2×Q8—24no—
1362C2×Q8—24no—
1363C2×Q8—41no—
1364C2×Q8—44no—
1365C2×Q8—44no—
1366C2×Q8—44no—
1367C2×Q8—44no—
1368C2×Q8—42no—
1369C2×Q8—42no—
1370C2×Q8—42no—
1371C2×Q8—42no—
1372C2×Q8—816no—
1373C2×Q8—816no—
1374C2×Q8C22×D414yes—
1375C2×D4—24no—
1376C2×D4—22no—
1377C2×D4—24no—
1378C2×D4—22no—
1379C2×D4—24no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—28no—
1388C2×D4—24no—
1389C2×D4—22no—
1390C2×D4—24no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—22no—
1399C2×D4—24no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—416no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—42no—
1417C2×D4—41no—
1418C2×D4—44no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—42no—
1422C2×D4—44no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—42no—
1430C2×D4—44no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—44no—
1442C2×D4—42no—
1443C2×D4—42no—
1444C2×D4—42no—
1445C2×D4—42no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4C22×D414yes—
1450C2×D4C22×D418yes—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—28no—
1460C22×C4—28no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—22no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—24no—
1480C22×C4—22no—
1481C22×C4—24no—
1482C22×C4—22no—
1483C22×C4—24no—
1484C22×C4—22no—
1485C22×C4—24no—
1486C22×C4—24no—
1487C22×C4—28no—
1488C22×C4—41no—
1489C22×C4—41no—
1490C22×C4—42no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—42no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—42no—
1501C22×C4—41no—
1502C22×C4—41no—
1503C22×C4—41no—
1504C22×C4—41no—
1505C22×C4—42no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—816no—
1513C22×C4C22×D414yes—
1514C22×C4C22×D414yes—
1515C22×C4C22×D418yes—
1516C22×C4C22×D414yes—
1517C22×C4H(5,𝔽2)14yes—
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2511yescharacteristic
1522C22×C4C2514yes—
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2512yes—
1526C22×C4C2511yescharacteristic
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2514yes—
1530C22×C4C2512yes—
1531C22×C4C2514yes—
1532C22×C4C2514yes—
1533C22×C4C2512yes—
1534C22×C4C2512yes—
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C22×C4C2512yes—
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C22×C4C2512yes—
1542C22×C4C2512yes—
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C4⋊C4—22no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—22no—
1551C4⋊C4—28no—
1552C4⋊C4—24no—
1553C4⋊C4—28no—
1554C4⋊C4—28no—
1555C4⋊C4—24no—
1556C4⋊C4—22no—
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—22no—
1560C4⋊C4—22no—
1561C4⋊C4—24no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—22no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—28no—
1573C4⋊C4—24no—
1574C4⋊C4—28no—
1575C4⋊C4—28no—
1576C4⋊C4—28no—
1577C4⋊C4—28no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—28no—
1583C4⋊C4—28no—
1584C4⋊C4—22no—
1585C4⋊C4—24no—
1586C4⋊C4—22no—
1587C4⋊C4—22no—
1588C4⋊C4—22no—
1589C4⋊C4—24no—
1590C4⋊C4—44no—
1591C4⋊C4—42no—
1592C4⋊C4—42no—
1593C4⋊C4—44no—
1594C4⋊C4—42no—
1595C4⋊C4—42no—
1596C4⋊C4—42no—
1597C4⋊C4—44no—
1598C4⋊C4—42no—
1599C4⋊C4—44no—
1600C4⋊C4—42no—
1601C4⋊C4—44no—
1602C4⋊C4—44no—
1603C4⋊C4—44no—
1604C4⋊C4C22×D414yes—
1605C4⋊C4C22×D414yes—
1606C4⋊C4C22×D418yes—
1607C4⋊C4C22×D418yes—
1608C4⋊C4C22×D418yes—
1609C4⋊C4C22×D418yes—
1610C22⋊C4—24no—
1611C22⋊C4—22no—
1612C22⋊C4—22no—
1613C22⋊C4—28no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—28no—
1617C22⋊C4—24no—
1618C22⋊C4—28no—
1619C22⋊C4—28no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—22no—
1623C22⋊C4—24no—
1624C22⋊C4—22no—
1625C22⋊C4—24no—
1626C22⋊C4—22no—
1627C22⋊C4—22no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—28no—
1639C22⋊C4—28no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—44no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4—44no—
1656C22⋊C4—42no—
1657C22⋊C4—42no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—42no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—42no—
1668C22⋊C4—44no—
1669C22⋊C4—42no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4C22×D418yes—
1678C22⋊C4C22×D418yes—
1679C22⋊C4C22×D418yes—
1680C22⋊C4C22×D418yes—
1681C22⋊C4C22×D418yes—
1682C42—22no—
1683C42—22no—
1684C42—22no—
1685C42—22no—
1686C42—24no—
1687C42—22no—
1688C42—24no—
1689C42—22no—
1690C42—24no—
1691C42—28no—
1692C42—28no—
1693C42—24no—
1694C42—24no—
1695C42—42no—
1696C42—44no—
1697C42—42no—
1698C42—44no—
1699C42—42no—
1700C42—42no—
1701C42—44no—
1702C42—44no—
1703C42C22×D414yes—
1704C42C22×D418yes—
1705C42C22×D414yes—
1706C42C22×D414yes—
1707C42C22×D414yes—
1708C23—21no—
1709C23—21no—
1710C23—22no—
1711C23—21no—
1712C23—22no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—22no—
1717C23—21no—
1718C23—21no—
1719C23—22no—
1720C23—21no—
1721C23—22no—
1722C23—22no—
1723C23—21no—
1724C23—21no—
1725C23—21no—
1726C23—22no—
1727C23—22no—
1728C23—21no—
1729C23—22no—
1730C23—22no—
1731C23—21no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—21no—
1740C23—21no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—21no—
1746C23—21no—
1747C23—22no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—21no—
1752C23—22no—
1753C23—22no—
1754C23—48no—
1755C23—48no—
1756C23—84no—
1757C23—84no—
1758C23—84no—
1759C23—84no—
1760C23—84no—
1761C23C23×D414yes—
1762C23C23×D412yes—
1763C23C2×H(5,𝔽2)12yes—
1764C23C2611yescharacteristic
1765Q8—28no—
1766Q8—44no—
1767Q8—48no—
1768Q8—48no—
1769Q8—44no—
1770Q8—88no—
1771Q8—88no—
1772Q8—84no—
1773Q8—84no—
1774D4—28no—
1775D4—48no—
1776D4—48no—
1777D4—44no—
1778D4—44no—
1779D4—48no—
1780D4—44no—
1781D4—48no—
1782D4—44no—
1783D4—44no—
1784D4—44no—
1785D4—84no—
1786D4—84no—
1787D4—84no—
1788D4—84no—
1789D4—84no—
1790D4—84no—
1791D4—88no—
1792D4—84no—
1793D4—84no—
1794D4—84no—
1795D4—84no—
1796D4—88no—
1797D4—84no—
1798D4—164no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—28no—
1816C2×C4—28no—
1817C2×C4—216no—
1818C2×C4—28no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—24no—
1828C2×C4—24no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—24no—
1834C2×C4—24no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—24no—
1838C2×C4—21no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—24no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—21no—
1854C2×C4—24no—
1855C2×C4—24no—
1856C2×C4—22no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—21no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—24no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—24no—
1869C2×C4—21no—
1870C2×C4—21no—
1871C2×C4—21no—
1872C2×C4—21no—
1873C2×C4—44no—
1874C2×C4—48no—
1875C2×C4—48no—
1876C2×C4—44no—
1877C2×C4—44no—
1878C2×C4—48no—
1879C2×C4—44no—
1880C2×C4—48no—
1881C2×C4—82no—
1882C2×C4—82no—
1883C2×C4—84no—
1884C2×C4—84no—
1885C2×C4—84no—
1886C2×C4—88no—
1887C2×C4—84no—
1888C2×C4—88no—
1889C2×C4—88no—
1890C2×C4—164no—
1891C2×C4C23×D414yes—
1892C2×C4C23×D412yes—
1893C2×C4C23×D414yes—
1894C2×C4C23×D414yes—
1895C2×C4C23×D412yes—
1896C2×C4C23×D412yes—
1897C2×C4C23×D412yes—
1898C2×C4C23×D412yes—
1899C2×C4C23×D412yes—
1900C2×C4C2×H(5,𝔽2)12yes—
1901C2×C4C2×H(5,𝔽2)12yes—
1902C2×C4#58512yes—
1903C2×C4#58512yes—
1904C2×C4#58512yes—
1905C22—22no—
1906C22—22no—
1907C22—24no—
1908C22—24no—
1909C22—22no—
1910C22—22no—
1911C22—24no—
1912C22—22no—
1913C22—22no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—42no—
1918C22—42no—
1919C22—41no—
1920C22—41no—
1921C22—42no—
1922C22—41no—
1923C22—41no—
1924C22—42no—
1925C22—41no—
1926C22—42no—
1927C22—42no—
1928C22—41no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—41no—
1933C22—42no—
1934C22—41no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—42no—
1939C22—42no—
1940C22—41no—
1941C22—42no—
1942C22—42no—
1943C22—42no—
1944C22—41no—
1945C22—42no—
1946C22—41no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—42no—
1952C22—41no—
1953C22—42no—
1954C22—816no—
1955C22C24×D411yescharacteristic
1956C22C22×H(5,𝔽2)11yescharacteristic
1957C22C2×#58511yescharacteristic
1958C22C2×#58511yescharacteristic
1959C22C2×#58511yescharacteristic
1960C222−1+611yescharacteristic
1961C222−1+611yescharacteristic
1962C4—22no—
1963C4—22no—
1964C4—24no—
1965C4—24no—
1966C4—22no—
1967C4—22no—
1968C4—22no—
1969C4—24no—
1970C4—42no—
1971C4—41no—
1972C4—44no—
1973C4—44no—
1974C4—41no—
1975C4—42no—
1976C4—41no—
1977C4—42no—
1978C4—42no—
1979C4—41no—
1980C4—41no—
1981C4—42no—
1982C4—42no—
1983C4—44no—
1984C4—42no—
1985C4—44no—
1986C4—42no—
1987C4—42no—
1988C4#348814yes—
1989C4#350014yes—
1990C2—42no—
1991C2—44no—
1992C2—42no—
1993C2—82no—
1994C2—82no—
1995C2—81no—
1996C2—82no—
1997C2C2×#348811yescharacteristic
1998C2C2×#350011yescharacteristic
1999C2#6285911yescharacteristic
2000C2#6292511yescharacteristic
2001C2#6293111yescharacteristic
2002C2#6293611yescharacteristic
2003C2#6293911yescharacteristic
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×#3552C2semidirect
2. C2×#3460C2semidirect
3. #51328C2semidirect
4. #50872C2semidirect
5. #47210C2semidirect
6. #46823C2semidirect
7. #45289C2semidirect
8. #45245C2semidirect
9. #45094C2semidirect
10. #45093C2semidirect
11. #39471C2semidirect
12. #39470C2semidirect
13. #39468C2semidirect
14. #39462C2semidirect
15. #39427C2semidirect
16. #39418C2semidirect
17. #39382C2semidirect
18. #39357C2semidirect
19. #39127C2semidirect
20. #39124C2semidirect
21. #37846C2semidirect
22. #37838C2semidirect
23. #37621C2semidirect
24. #37279C2semidirect
25. #37271C2semidirect
26. #36505C2semidirect
27. #36444C2semidirect
28. #36161C2semidirect
29. #36153C2semidirect
30. #35568C2semidirect
31. #35542C2semidirect
32. #35316C2semidirect
33. #35289C2semidirect
34. #34911C2semidirect
35. #34242C2semidirect
37. C2×#563C22semidirect
38. C2×#557C22semidirect
40. C2×#554C22semidirect
41. C2×#553C22semidirect
42. C2×D4×Q8C22semidirect
43. C2×D4×Q8C22semidirect
50. C2×#544C22semidirect
54. C2×#542C22semidirect
55. C2×#541C22semidirect
59. C2×#539C22semidirect
70. C22×C4⋊Q8C22semidirect
74. C2×#529C22semidirect
80. #2862C22semidirect
84. #2857C22semidirect
85. #2857C22semidirect
86. #2857C22semidirect
87. #2851C22semidirect
90. #2813C22semidirect
91. #2725C22semidirect
93. #2723C22semidirect
94. #2719C22semidirect
95. #2716C22semidirect
96. #2716C22semidirect
97. #2715C22semidirect
98. #2714C22semidirect
99. #2714C22semidirect
100. #2710C22semidirect
101. #2710C22semidirect
102. #2707C22semidirect
103. #2706C22semidirect
104. #2703C22semidirect
105. #2700C22semidirect
106. #2700C22semidirect
107. #2699C22semidirect
108. #2698C22semidirect
109. #2696C22semidirect
110. #2694C22semidirect
111. #2694C22semidirect
112. #2692C22semidirect
113. #2691C22semidirect
115. #2688C22semidirect
116. #2687C22semidirect
117. #2687C22semidirect
118. #2687C22semidirect
121. #2681C22semidirect
125. #2677C22semidirect
131. #2662C22semidirect
132. #2640C22semidirect
133. #2629C22semidirect
134. #2628C22semidirect
135. #2628C22semidirect
137. #2621C22semidirect
139. #2616C22semidirect
140. #2616C22semidirect
141. #2615C22semidirect
142. #2615C22semidirect
143. #2604C22semidirect
146. #2602C22semidirect
147. #2592C22semidirect
148. #2584C22semidirect
149. #2563C22semidirect
150. #2563C22semidirect
151. #2563C22semidirect
154. #2562C22semidirect
155. #2562C22semidirect
157. #2560C22semidirect
158. #2557C22semidirect
159. #2557C22semidirect
160. #2554C22semidirect
161. #2554C22semidirect
162. #2553C22semidirect
163. #2550C22semidirect
164. #2549C22semidirect
170. #2547C22semidirect
171. #2547C22semidirect
172. #2546C22semidirect
173. #2546C22semidirect
178. #2540C22semidirect
179. #2540C22semidirect
181. #2538C22semidirect
182. #2538C22semidirect
185. #2537C22semidirect
187. #2535C22semidirect
188. #2519C22semidirect
189. #2504C22semidirect
190. #2492C22semidirect
191. #2492C22semidirect
194. #2490C22semidirect
195. #2490C22semidirect
197. #2489C22semidirect
198. #2488C22semidirect
199. #2488C22semidirect
200. #2487C22semidirect
204. #2486C22semidirect
205. #2486C22semidirect
207. #2485C22semidirect
209. #2475C22semidirect
218. #2459C22semidirect
219. #2457C22semidirect
220. #2456C22semidirect
221. #2453C22semidirect
222. #2452C22semidirect
223. #2451C22semidirect
225. #2446C22semidirect
227. #2444C22semidirect
230. #2436C22semidirect
234. #2429C22semidirect
238. #2427C22semidirect
240. #2426C22semidirect
242. #2420C22semidirect
245. #2417C22semidirect
250. #2415C22semidirect
251. #2415C22semidirect
254. #2414C22semidirect
255. #2414C22semidirect
256. #2414C22semidirect
258. #2409C22semidirect
260. #2395C22semidirect
262. #2373C22semidirect
264. #2367C22semidirect
267. #2362C22semidirect
269. #2355C22semidirect
271. #2354C22semidirect
272. #2352C22semidirect
273. Q8×C4⋊C4C22semidirect
275. Q8×C22⋊C4C22semidirect
277. #2335C22semidirect
278. #2324C22semidirect
279. #2323C22semidirect
280. #2314C22semidirect
281. #2311C22semidirect
282. #2311C22semidirect
283. #2311C22semidirect
284. #2311C22semidirect
285. #2310C22semidirect
286. C4×#125C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×C22⋊Q8C22semidirect
292. C4×#121C22semidirect
293. C4×#121C22semidirect
295. #2293C22semidirect
296. #2285C22semidirect
299. #2274C22semidirect
300. C4×#117C22semidirect
361. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35522
C2×#34602
#513282
#508722
#472102
#468232
#452892
#452452
#450942
#450932
#394712
#394702
#394682
#394622
#394272
#394182
#393822
#393572
#391272
#391242
#378462
#378382
#376212
#372792
#372712
#365052
#364442
#361612
#361532
#355682
#355422
#353162
#352892
#349112
#342422