Finite Group Databasebeta

← #7655449

Subgroups — #7655449

Order 512.

6712 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3521C211yesmaximal, characteristic
2C2×Q8×#41C211yesmaximal, characteristic, complemented
3#42879C211yesmaximal, characteristic, complemented
4#42875C211yesmaximal, characteristic, complemented
5#42793C211yesmaximal, characteristic, complemented
6#42789C211yesmaximal, characteristic, complemented
7#41374C212yesmaximal, complemented
8#41370C212yesmaximal, complemented
9#40495C212yesmaximal, complemented
10#40491C212yesmaximal, complemented
11#39955C212yesmaximal, complemented
12#39951C212yesmaximal, complemented
13#39867C212yesmaximal, complemented
14#39866C212yesmaximal, complemented
15#38422C214yesmaximal, complemented
16#38421C214yesmaximal, complemented
17#38371C214yesmaximal, complemented
18#38370C214yesmaximal, complemented
19#37560C211yesmaximal, characteristic, complemented
20#37548C212yesmaximal, complemented
21#36261C212yesmaximal, complemented
22#36238C212yesmaximal, complemented
23#36217C212yesmaximal, complemented
24#36216C212yesmaximal, complemented
25#36031C211yesmaximal, characteristic, complemented
26#35836C211yesmaximal, characteristic, complemented
27#35739C211yesmaximal, characteristic, complemented
28#35702C211yesmaximal, characteristic, complemented
29#35326C212yesmaximal, complemented
30#35245C212yesmaximal, complemented
31#35201C211yesmaximal, characteristic, complemented
32#35111C211yesmaximal, characteristic, complemented
33#34972C211yesmaximal, characteristic, complemented
34C2×#2604C212yesmaximal, complemented
35#34123C211yesmaximal, characteristic, complemented
36#3521—216no—
37Q8×#41—216no—
38C2×Q82C2211yescharacteristic, complemented
39C2×#557C2212yescomplemented
40C2×#557C2211yescharacteristic, complemented
41C2×#556C2211yescharacteristic
42C2×#556C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#554C2212yes—
45C2×#554C2211yescharacteristic
46C2×#554C2214yescomplemented
47C2×#554C2212yescomplemented
48C2×#553C2212yes—
49C2×#553C2211yescharacteristic
50C2×#552C2211yescharacteristic
51C2×#552C2212yes—
52C2×#551C2212yes—
53C2×#551C2212yes—
54C2×D4×Q8C2211yescharacteristic
55C2×D4×Q8C2212yescomplemented
56C2×#547C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×#546C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#541C2211yescharacteristic
61C2×#539C2212yes—
62C2×#538C2212yes—
63C2×#533C2211yescharacteristic, complemented
64C2×#533C2212yescomplemented
65C2×#533C2212yescomplemented
66C2×#533C2214yescomplemented
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#529C2212yes—
70C22×#126C2212yes—
71C2×#520C2211yescharacteristic
72C2×#518C2211yescharacteristic
73C2×C4×#41C2212yes—
74C2×C4×#41C2211yescharacteristic
75C22×C4×Q8C2211yescharacteristic, complemented
76C22×C4×Q8C2212yescomplemented
77#2861C2212yes—
78#2859C2212yescomplemented
79#2857C2214yescomplemented
80#2855C2212yescomplemented
81#2854C2212yes—
82#2853C2214yes—
83#2853C2214yescomplemented
84#2850C2214yes—
85#2821C2212yes—
86#2821C2212yes—
87#2821C2212yescomplemented
88#2821C2212yescomplemented
89#2817C2212yescomplemented
90#2816C2212yes—
91#2721C2214yes—
92#2721C2214yescomplemented
93#2719C2214yescomplemented
94#2719C2214yescomplemented
95#2716C2214yes—
96#2716C2214yescomplemented
97#2713C2214yescomplemented
98#2713C2214yescomplemented
99#2700C2214yes—
100#2698C2214yescomplemented
101#2694C2214yes—
102#2694C2214yescomplemented
103#2690C2214yescomplemented
104#2690C2214yescomplemented
105#2689C2214yescomplemented
106#2687C2214yescomplemented
107#2681C2214yescomplemented
108#2680C2214yescomplemented
109#2677C2214yescomplemented
110#2677C2214yescomplemented
111#2674C2214yes—
112#2674C2214yes—
113#2674C2214yescomplemented
114#2672C2214yescomplemented
115#2664C2214yes—
116#2664C2214yescomplemented
117#2663C2212yes—
118#2663C2212yescomplemented
119#2663C2212yescomplemented
120#2663C2212yescomplemented
121#2660C2212yescomplemented
122#2658C2212yescomplemented
123#2642C2212yescomplemented
124#2640C2212yescomplemented
125#2637C2214yes—
126#2637C2214yescomplemented
127#2634C2212yescomplemented
128#2634C2212yescomplemented
129#2634C2212yescomplemented
130#2632C2212yes—
131#2632C2212yescomplemented
132#2632C2212yescomplemented
133#2628C2211yescharacteristic
134#2628C2211yescharacteristic
135#2628C2211yescharacteristic, complemented
136#2628C2211yescharacteristic, complemented
137#2627C2212yescomplemented
138#2627C2212yescomplemented
139#2626C2212yes—
140#2626C2212yes—
141#2623C2212yescomplemented
142#2614C2212yescomplemented
143#2611C2214yescomplemented
144#2611C2214yescomplemented
145#2604C2214yes—
146#2604C2212yes—
147#2604C2211yescharacteristic
148#2604C2212yes—
149#2604C2212yes—
150#2604C2214yes—
151#2604C2211yescharacteristic
152#2604C2214yescomplemented
153#2604C2212yescomplemented
154#2604C2212yescomplemented
155#2604C2212yescomplemented
156#2604C2212yescomplemented
157#2604C2212yescomplemented
158#2604C2214yescomplemented
159#2604C2212yescomplemented
160#2604C2211yescharacteristic, complemented
161#2604C2211yescharacteristic, complemented
162#2604C2212yescomplemented
163#2599C2214yescomplemented
164#2592C2212yes—
165#2591C2214yes—
166#2584C2212yescomplemented
167#2584C2212yescomplemented
168#2583C2214yescomplemented
169#2583C2214yescomplemented
170#2581C2211yescharacteristic, complemented
171#2581C2211yescharacteristic, complemented
172#2581C2214yescomplemented
173#2580C2211yescharacteristic
174#2580C2211yescharacteristic
175#2568C2211yescharacteristic, complemented
176#2567C2211yescharacteristic, complemented
177#2565C2212yescomplemented
178#2564C2212yes—
179#2564C2212yes—
180#2564C2212yescomplemented
181#2564C2212yescomplemented
182#2563C2211yescharacteristic
183#2562C2212yes—
184#2561C2214yes—
185#2552C2212yescomplemented
186#2551C2212yescomplemented
187#2550C2212yescomplemented
188#2550C2212yescomplemented
189#2549C2214yescomplemented
190#2549C2214yescomplemented
191#2545C2212yes—
192#2542C2211yescharacteristic
193#2536C2214yescomplemented
194#2503C2211yescharacteristic, complemented
195#2501C2211yescharacteristic
196#2500C2212yes—
197#2499C2212yescomplemented
198#2498C2214yes—
199#2498C2214yescomplemented
200#2492C2212yes—
201#2491C2212yes—
202#2490C2212yes—
203#2489C2212yes—
204#2488C2214yes—
205#2488C2214yes—
206#2487C2212yes—
207#2487C2212yescomplemented
208#2485C2212yes—
209#2485C2212yescomplemented
210#2484C2214yescomplemented
211#2482C2214yes—
212#2472C2214yes—
213#2472C2214yes—
214#2454C2212yes—
215#2453C2212yescomplemented
216#2452C2212yes—
217#2451C2212yescomplemented
218#2450C2214yes—
219#2450C2214yescomplemented
220#2449C2214yes—
221#2449C2214yescomplemented
222#2448C2212yes—
223#2448C2212yes—
224#2446C2212yescomplemented
225#2446C2212yescomplemented
226#2444C2214yes—
227#2444C2214yescomplemented
228#2443C2214yes—
229#2443C2214yescomplemented
230#2442C2212yescomplemented
231#2441C2212yes—
232#2440C2212yescomplemented
233#2440C2214yescomplemented
234#2440C2214yescomplemented
235#2439C2212yes—
236#2438C2214yescomplemented
237#2438C2214yescomplemented
238#2437C2214yes—
239#2437C2214yes—
240#2436C2211yescharacteristic
241#2434C2211yescharacteristic, complemented
242#2423C2212yes—
243#2423C2212yescomplemented
244#2421C2212yes—
245#2421C2212yescomplemented
246#2419C2214yescomplemented
247#2419C2214yescomplemented
248#2418C2214yes—
249#2418C2214yes—
250#2415C2214yescomplemented
251#2413C2212yes—
252#2413C2212yescomplemented
253#2409C2212yes—
254#2409C2212yescomplemented
255#2396C2211yescharacteristic
256#2396C2211yescharacteristic
257#2396C2211yescharacteristic, complemented
258#2396C2211yescharacteristic, complemented
259C2×#400C2212yescomplemented
260C2×#399C2212yes—
261C2×#395C2212yescomplemented
262C2×#393C2212yes—
263#2356C2211yescharacteristic, complemented
264#2356C2211yescharacteristic, complemented
265#2353C2212yescomplemented
266#2353C2212yescomplemented
267#2349C2211yescharacteristic
268#2349C2211yescharacteristic
269#2349C2212yes—
270#2349C2212yes—
271D4×C4⋊C4C2212yes—
272D4×C4⋊C4C2212yes—
273#2346C2212yescomplemented
274#2343C2214yescomplemented
275#2339C2212yes—
276#2339C2212yes—
277#2339C2212yes—
278D4×C22⋊C4C2212yes—
279D4×C22⋊C4C2212yes—
280#2327C2214yescomplemented
281#2326C2214yescomplemented
282#2323C2214yescomplemented
283#2323C2214yescomplemented
284#2323C2214yescomplemented
285#2322C2214yescomplemented
286C4×C4⋊Q8C2212yescomplemented
287C4×#124C2212yes—
288C4×#123C2212yes—
289C4×#123C2212yescomplemented
290#2295C2212yescomplemented
291C2×#389C2214yescomplemented
292#2290C2214yescomplemented
293C2×#388C2214yes—
294C2×#388C2214yes—
295C2×#387C2214yescomplemented
296#2283C2211yescharacteristic, complemented
297#2283C2212yescomplemented
298C42×D4C2212yes—
299C4×#117C2211yescharacteristic, complemented
300C2×#376C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C23×Q8C2312yes—
305C23×D4C2311yescharacteristic
306Q82—28no—
307#557—28no—
308#557—216no—
309#556—28no—
310#556—28no—
311#554—216no—
312#554—28no—
313#554—28no—
314#554—232no—
315#554—216no—
316#553—216no—
317#553—28no—
318#552—28no—
319#552—216no—
320#551—216no—
321#551—216no—
322D4×Q8—28no—
323D4×Q8—216no—
324#547—28no—
325#546—28no—
326#546—28no—
327#542—28no—
328#541—28no—
329#539—216no—
330#538—216no—
331#533—232no—
332#533—216no—
333#533—216no—
334#533—28no—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347#529—216no—
348#529—28no—
349#529—28no—
350C2×#126—216no—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2311yescharacteristic
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2311yescharacteristic
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#125C2312yes—
364C2×#125C2311yescharacteristic
365C2×#125C2311yescharacteristic
366C2×#125C2314yes—
367C2×#125C2312yes—
368C2×#125C2314yes—
369C2×#125C2314yes—
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#125C2311yescharacteristic
375C2×#124C2311yescharacteristic
376C2×#124C2311yescharacteristic
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380C2×#124C2314yes—
381C2×#124C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2311yescharacteristic
386C2×#123C2311yescharacteristic
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2314yes—
419C2×#121C2311yescharacteristic
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#120C2312yes—
427C2×#120C2312yes—
428#520—28no—
429#518—28no—
430C4×#41—216no—
431C4×#41D4116yes—
432C2×C4×Q8—216no—
433C2×C4×Q8—28no—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2314yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2314yes—
444C2×C4×Q8C2314yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2314yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2311yescharacteristic
482C2×#117C2311yescharacteristic
483C2×#117C2314yes—
484C2×#117C2312yes—
485C2×#117C2311yescharacteristic
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2311yescharacteristic
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2314yes—
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2314yes—
499C22×C4⋊C4C2314yes—
500C22×C22⋊C4C2312yes—
501C22×C22⋊C4C2312yes—
502C22×C22⋊C4C2312yes—
503C22×C22⋊C4C2312yes—
504C22×C22⋊C4C2314yes—
505C22×C22⋊C4C2314yes—
506C22×C42C2314yes—
507C22×C42C2312yes—
508C22×C42C2314yes—
509C22×C42C2312yes—
510C22×C42C2311yescharacteristic
511#400C2314yes—
512#400C2312yes—
513#400C2312yes—
514#400C2311yescharacteristic
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2314yes—
519#400C2311yescharacteristic
520#400C2314yes—
521#400C2314yes—
522#400C2314yes—
523#400C2312yes—
524#400C2311yescharacteristic
525#400C2314yes—
526#400C2314yes—
527#400C2311yescharacteristic
528#400C2314yes—
529#400C2314yes—
530#400C2312yes—
531#400C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2311yescharacteristic
537#399C2311yescharacteristic
538#399C2314yes—
539#399C2312yes—
540#399C2314yes—
541#399C2312yes—
542#399C2311yescharacteristic
543#399C2314yes—
544#399C2314yes—
545#399C2311yescharacteristic
546#399C2314yes—
547#399C2314yes—
548#399C2312yes—
549#399C2312yes—
550#398C2314yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#398C2314yes—
566#398C2314yes—
567#398C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2314yes—
577#397C2314yes—
578#397C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#395C2312yes—
588#395C2312yes—
589#395C2314yes—
590#395C2311yescharacteristic
591#395C2312yes—
592#395C2312yes—
593#395C2312yes—
594#395C2314yes—
595#395C2311yescharacteristic
596#395C2314yes—
597#395C2314yes—
598#395C2314yes—
599#395C2312yes—
600#395C2314yes—
601#395C2311yescharacteristic
602#395C2314yes—
603#395C2314yes—
604#395C2311yescharacteristic
605#395C2312yes—
606#395C2312yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#393C2312yes—
615#393C2312yes—
616#393C2314yes—
617#393C2314yes—
618#393C2312yes—
619#393C2312yes—
620#393C2312yes—
621#393C2311yescharacteristic
622#393C2311yescharacteristic
623#393C2312yes—
624#393C2314yes—
625#393C2311yescharacteristic
626#393C2314yes—
627#393C2314yes—
628#393C2311yescharacteristic
629#393C2312yes—
630#393C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2312yes—
634#391C2312yes—
635#391C2314yes—
636#391C2312yes—
637#391C2314yes—
638#391C2314yes—
639#391C2312yes—
640#391C2312yes—
641#391C2314yes—
642#391C2314yes—
643#391C2314yes—
644#391C2312yes—
645#391C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2314yes—
650#390C2312yes—
651#390C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2314yes—
657#389C2314yes—
658#389C2314yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2314yes—
664#389C2314yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2314yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2314yes—
675#389C2312yes—
676#389C2312yes—
677#389C2314yes—
678#389C2314yes—
679#389C2314yes—
680#389C2314yes—
681#388C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2314yes—
698#388C2314yes—
699#388C2312yes—
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#388C2314yes—
704#388C2314yes—
705#388C2312yes—
706#388C2312yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2312yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2312yes—
722#387C2312yes—
723#387C2312yes—
724#387C2312yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
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#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2312yes—
757#386C2312yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
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#385C2312yes—
776#385C2312yes—
777#384C2312yes—
778#384C2312yes—
779#384C2314yes—
780#384C2312yes—
781#383C2312yes—
782#383C2312yes—
783#383C2312yes—
784#382C2312yes—
785#382C2312yes—
786#382C2312yes—
787#382C2311yescharacteristic
788#382C2311yescharacteristic
789#382C2314yes—
790#382C2314yes—
791#381C2312yes—
792#381C2314yes—
793#381C2314yes—
794#381C2314yes—
795#381C2314yes—
796#381C2312yes—
797#381C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2314yes—
803#380C2314yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#379C2314yes—
813#379C2314yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2311yescharacteristic
836#376C2314yes—
837#376C2311yescharacteristic
838#376C2312yes—
839#376C2311yescharacteristic
840#376C2312yes—
841#376C2312yes—
842#376C2314yes—
843C2×#95C2312yes—
844C2×#95C2312yes—
845C2×#95C2314yes—
846C2×#95C2314yes—
847C2×#95C2314yes—
848C2×#95C2314yes—
849C2×#95C2314yes—
850C43C2312yes—
851C25C2412yes—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41C2×D418yes—
858C22×Q8—28no—
859C22×Q8—24no—
860C22×Q8—48no—
861C22×Q8—44no—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2414yes—
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2414yes—
873C22×D4—24no—
874C22×D4—24no—
875C22×D4—24no—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2414yes—
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2414yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C4⋊Q8—24no—
907C4⋊Q8—28no—
908C4⋊Q8—216no—
909C4⋊Q8—28no—
910C4⋊Q8—216no—
911C4⋊Q8—24no—
912C4⋊Q8—24no—
913C4⋊Q8—28no—
914C4⋊Q8—24no—
915C4⋊Q8—28no—
916C4⋊Q8—48no—
917C4⋊Q8—44no—
918#126—28no—
919#126—28no—
920#126—28no—
921#126—24no—
922#126—28no—
923#126—28no—
924#126—28no—
925#126—28no—
926#126—28no—
927#126—28no—
928#126—28no—
929#126—24no—
930#125—28no—
931#125—28no—
932#125—216no—
933#125—216no—
934#125—28no—
935#125—28no—
936#125—24no—
937#125—28no—
938#125—24no—
939#125—24no—
940#125—216no—
941#125—28no—
942#124—24no—
943#124—28no—
944#124—28no—
945#124—24no—
946#124—24no—
947#124—48no—
948#124—44no—
949#123—28no—
950#123—28no—
951#123—28no—
952#123—28no—
953#123—24no—
954#123—24no—
955#123—28no—
956#123—28no—
957#123—28no—
958#123—28no—
959#123—44no—
960#123—44no—
961#123—48no—
962C22⋊Q8—24no—
963C22⋊Q8—24no—
964C22⋊Q8—24no—
965C22⋊Q8—24no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—216no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—24no—
974C22⋊Q8—28no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—216no—
979C22⋊Q8—216no—
980C22⋊Q8—216no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—48no—
984C22⋊Q8—48no—
985C22⋊Q8—48no—
986#121—28no—
987#121—28no—
988#121—24no—
989#121—24no—
990#121—28no—
991#121—24no—
992#121—28no—
993#120—28no—
994#120—28no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—24no—
998C4×Q8—24no—
999C4×Q8—28no—
1000C4×Q8—216no—
1001C4×Q8—28no—
1002C4×Q8—24no—
1003C4×Q8—24no—
1004C4×Q8—28no—
1005C4×Q8—24no—
1006C4×Q8—28no—
1007C4×Q8—216no—
1008C4×Q8—28no—
1009C4×Q8—24no—
1010C4×Q8—28no—
1011C4×Q8—24no—
1012C4×Q8—28no—
1013C4×Q8—216no—
1014C4×Q8C2×D418yes—
1015C4×Q8C2×D418yes—
1016C4×D4—216no—
1017C4×D4—28no—
1018C4×D4—216no—
1019C4×D4—28no—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—24no—
1027C4×D4—24no—
1028C4×D4—28no—
1029C4×D4—24no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—24no—
1033C4×D4—24no—
1034C4×D4—28no—
1035C4×D4C2×D418yes—
1036C4×D4C2×D4116yes—
1037C4×D4C2×D418yes—
1038C4×D4C2×D4116yes—
1039#117—216no—
1040#117—28no—
1041#117—24no—
1042#117—28no—
1043#117—24no—
1044#117—24no—
1045#117—28no—
1046#117—28no—
1047#117—28no—
1048#117—44no—
1049#117C2×D4116yes—
1050#117C2×D418yes—
1051C2×C4⋊C4—216no—
1052C2×C4⋊C4—28no—
1053C2×C4⋊C4—28no—
1054C2×C4⋊C4—24no—
1055C2×C4⋊C4—28no—
1056C2×C4⋊C4—28no—
1057C2×C4⋊C4—28no—
1058C2×C4⋊C4—24no—
1059C2×C4⋊C4—48no—
1060C2×C4⋊C4—48no—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C22⋊C4—28no—
1139C2×C22⋊C4—28no—
1140C2×C22⋊C4—28no—
1141C2×C22⋊C4—28no—
1142C2×C22⋊C4—48no—
1143C2×C22⋊C4—48no—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C42—216no—
1201C2×C42—28no—
1202C2×C42—48no—
1203C2×C42C2×D4116yes—
1204C2×C42C2×D418yes—
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2412yes—
1209C2×C42C2414yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2412yes—
1213C2×C42C2412yes—
1214C2×C42C2414yes—
1215C2×C42C2412yes—
1216C2×C42C2414yes—
1217C2×C42C2412yes—
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2414yes—
1221C2×C42C2412yes—
1222C2×C42C2412yes—
1223C2×C42C2412yes—
1224C2×C42C2414yes—
1225C2×C42C2414yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2412yes—
1232C2×C42C2411yescharacteristic
1233#95C2412yes—
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2411yescharacteristic
1260#95C2411yescharacteristic
1261#95C2412yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293C24—24no—
1294C24—24no—
1295C24—24no—
1296C24—44no—
1297C24—44no—
1298C24C2511yescharacteristic
1299C24C2512yes—
1300C24C2511yescharacteristic
1301C24C2511yescharacteristic
1302C24C2512yes—
1303#41—232no—
1304#41—416no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—28no—
1308C2×Q8—24no—
1309C2×Q8—22no—
1310C2×Q8—24no—
1311C2×Q8—22no—
1312C2×Q8—24no—
1313C2×Q8—24no—
1314C2×Q8—28no—
1315C2×Q8—22no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—24no—
1320C2×Q8—28no—
1321C2×Q8—24no—
1322C2×Q8—42no—
1323C2×Q8—44no—
1324C2×Q8—44no—
1325C2×Q8—42no—
1326C2×Q8—44no—
1327C2×Q8—44no—
1328C2×Q8—44no—
1329C2×Q8—44no—
1330C2×Q8—42no—
1331C2×Q8—432no—
1332C2×Q8—416no—
1333C2×Q8C22×D414yes—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—42no—
1351C2×D4—44no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—42no—
1355C2×D4—416no—
1356C2×D4C22×D418yes—
1357C2×D4C22×D414yes—
1358C2×D42−1+414yes—
1359C2×D42−1+414yes—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—28no—
1366C22×C4—24no—
1367C22×C4—28no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—28no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—28no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—28no—
1382C22×C4—28no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4C22×D418yes—
1406C22×C4C22×D414yes—
1407C22×C4C22×D418yes—
1408C22×C4C22×D418yes—
1409C22×C4C22×D414yes—
1410C22×C4C22×D414yes—
1411C22×C4C2512yes—
1412C22×C4C2514yes—
1413C22×C4C2514yes—
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2514yes—
1422C22×C4C2512yes—
1423C22×C4C2514yes—
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2511yescharacteristic
1441C4⋊C4—24no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—28no—
1456C4⋊C4—28no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—28no—
1472C4⋊C4—28no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—28no—
1487C4⋊C4—28no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—28no—
1493C4⋊C4—28no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—42no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4C22×D414yes—
1515C4⋊C4C22×D414yes—
1516C4⋊C4C22×D418yes—
1517C4⋊C4C22×D418yes—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—22no—
1524C22⋊C4—24no—
1525C22⋊C4—22no—
1526C22⋊C4—28no—
1527C22⋊C4—28no—
1528C22⋊C4—22no—
1529C22⋊C4—24no—
1530C22⋊C4—22no—
1531C22⋊C4—22no—
1532C22⋊C4—22no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—22no—
1542C22⋊C4—22no—
1543C22⋊C4—22no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—22no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—28no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4C22×D418yes—
1572C22⋊C4C22×D418yes—
1573C22⋊C4C22×D418yes—
1574C42—24no—
1575C42—28no—
1576C42—24no—
1577C42—28no—
1578C42—24no—
1579C42—28no—
1580C42—24no—
1581C42—24no—
1582C42—24no—
1583C42—24no—
1584C42—22no—
1585C42—22no—
1586C42—24no—
1587C42—24no—
1588C42—24no—
1589C42—28no—
1590C42—44no—
1591C42—44no—
1592C42—42no—
1593C42—42no—
1594C42—42no—
1595C42C22×D414yes—
1596C42C22×D414yes—
1597C42C22×D414yes—
1598C42C22×D418yes—
1599C42C22×D418yes—
1600C42C22×D414yes—
1601C42C22×D418yes—
1602C23—24no—
1603C23—24no—
1604C23—21no—
1605C23—21no—
1606C23—22no—
1607C23—22no—
1608C23—21no—
1609C23—22no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—24no—
1619C23—24no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—48no—
1624C23—88no—
1625C23—88no—
1626C23—84no—
1627C23—84no—
1628C23C23×D412yes—
1629C23C23×D414yes—
1630C23C2×2−1+414yes—
1631C23C2×2−1+414yes—
1632C23C2611yescharacteristic
1633Q8—28no—
1634Q8—28no—
1635Q8—416no—
1636Q8—48no—
1637Q8—48no—
1638Q8—44no—
1639Q8—44no—
1640Q8—82no—
1641Q8—84no—
1642Q8—84no—
1643Q8—88no—
1644D4—216no—
1645D4—48no—
1646D4—48no—
1647D4—44no—
1648D4—82no—
1649D4—84no—
1650D4—84no—
1651D4—82no—
1652D4—82no—
1653D4#536116yes—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—216no—
1669C2×C4—28no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—24no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—44no—
1722C2×C4—48no—
1723C2×C4—48no—
1724C2×C4—44no—
1725C2×C4—416no—
1726C2×C4—416no—
1727C2×C4—48no—
1728C2×C4—48no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—84no—
1732C2×C4—84no—
1733C2×C4—84no—
1734C2×C4—88no—
1735C2×C4—84no—
1736C2×C4—88no—
1737C2×C4—84no—
1738C2×C4—84no—
1739C2×C4C23×D412yes—
1740C2×C4C23×D414yes—
1741C2×C4C23×D414yes—
1742C2×C4C23×D412yes—
1743C2×C4C23×D412yes—
1744C2×C4C23×D412yes—
1745C2×C4C23×D412yes—
1746C2×C4C23×D414yes—
1747C2×C4C23×D412yes—
1748C2×C4C2×2−1+412yes—
1749C2×C4C2×2−1+412yes—
1750C2×C4#58514yes—
1751C2×C4#58514yes—
1752C22—28no—
1753C22—28no—
1754C22—24no—
1755C22—24no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—44no—
1763C22—42no—
1764C22—42no—
1765C22—44no—
1766C22—42no—
1767C22—41no—
1768C22—42no—
1769C22—41no—
1770C22—42no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—42no—
1776C22—168no—
1777C22C2×#53618yes—
1778C22C24×D411yescharacteristic
1779C22C22×2−1+411yescharacteristic
1780C22C22×2−1+411yescharacteristic
1781C22C2×#58512yes—
1782C22C2×#58512yes—
1783C4—24no—
1784C4—22no—
1785C4—24no—
1786C4—24no—
1787C4—22no—
1788C4—22no—
1789C4—22no—
1790C4—24no—
1791C4—22no—
1792C4—24no—
1793C4—42no—
1794C4—44no—
1795C4—42no—
1796C4—44no—
1797C4—42no—
1798C4—44no—
1799C4—42no—
1800C4—42no—
1801C4—41no—
1802C4—41no—
1803C4—42no—
1804C4—41no—
1805C4—42no—
1806C4—44no—
1807C4—42no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—42no—
1812C4C2×#53614yes—
1813C2—28no—
1814C2—42no—
1815C2—81no—
1816C2—82no—
1817C2—81no—
1818C2C22×#53611yescharacteristic
1819C2#6281111yescharacteristic
1820C2#6281211yescharacteristic
1821C2#6302312yes—
1822C2#6302512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3521C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×Q8×#41C2semidirect
3. #42879C2semidirect
4. #42875C2semidirect
5. #42793C2semidirect
6. #42789C2semidirect
7. #41374C2semidirect
8. #41370C2semidirect
9. #40495C2semidirect
10. #40491C2semidirect
11. #39955C2semidirect
12. #39951C2semidirect
13. #39867C2semidirect
14. #39866C2semidirect
15. #38422C2semidirect
16. #38421C2semidirect
17. #38371C2semidirect
18. #38370C2semidirect
19. #37560C2semidirect
20. #37548C2semidirect
21. #36261C2semidirect
22. #36238C2semidirect
23. #36217C2semidirect
24. #36216C2semidirect
25. #36031C2semidirect
26. #35836C2semidirect
27. #35739C2semidirect
28. #35702C2semidirect
29. #35326C2semidirect
30. #35245C2semidirect
31. #35201C2semidirect
32. #35111C2semidirect
33. #34972C2semidirect
34. C2×#2604C2semidirect
35. #34123C2semidirect
38. C2×Q82C22semidirect
39. C2×#557C22semidirect
40. C2×#557C22semidirect
46. C2×#554C22semidirect
47. C2×#554C22semidirect
55. C2×D4×Q8C22semidirect
63. C2×#533C22semidirect
64. C2×#533C22semidirect
65. C2×#533C22semidirect
66. C2×#533C22semidirect
75. C22×C4×Q8C22semidirect
76. C22×C4×Q8C22semidirect
78. #2859C22semidirect
79. #2857C22semidirect
80. #2855C22semidirect
83. #2853C22semidirect
87. #2821C22semidirect
88. #2821C22semidirect
89. #2817C22semidirect
92. #2721C22semidirect
93. #2719C22semidirect
94. #2719C22semidirect
96. #2716C22semidirect
97. #2713C22semidirect
98. #2713C22semidirect
100. #2698C22semidirect
102. #2694C22semidirect
103. #2690C22semidirect
104. #2690C22semidirect
105. #2689C22semidirect
106. #2687C22semidirect
107. #2681C22semidirect
108. #2680C22semidirect
109. #2677C22semidirect
110. #2677C22semidirect
113. #2674C22semidirect
114. #2672C22semidirect
116. #2664C22semidirect
118. #2663C22semidirect
119. #2663C22semidirect
120. #2663C22semidirect
121. #2660C22semidirect
122. #2658C22semidirect
123. #2642C22semidirect
124. #2640C22semidirect
126. #2637C22semidirect
127. #2634C22semidirect
128. #2634C22semidirect
129. #2634C22semidirect
131. #2632C22semidirect
132. #2632C22semidirect
135. #2628C22semidirect
136. #2628C22semidirect
137. #2627C22semidirect
138. #2627C22semidirect
141. #2623C22semidirect
142. #2614C22semidirect
143. #2611C22semidirect
144. #2611C22semidirect
152. #2604C22semidirect
153. #2604C22semidirect
154. #2604C22semidirect
155. #2604C22semidirect
156. #2604C22semidirect
157. #2604C22semidirect
158. #2604C22semidirect
159. #2604C22semidirect
160. #2604C22semidirect
161. #2604C22semidirect
162. #2604C22semidirect
163. #2599C22semidirect
166. #2584C22semidirect
167. #2584C22semidirect
168. #2583C22semidirect
169. #2583C22semidirect
170. #2581C22semidirect
171. #2581C22semidirect
172. #2581C22semidirect
175. #2568C22semidirect
176. #2567C22semidirect
177. #2565C22semidirect
180. #2564C22semidirect
181. #2564C22semidirect
185. #2552C22semidirect
186. #2551C22semidirect
187. #2550C22semidirect
188. #2550C22semidirect
189. #2549C22semidirect
190. #2549C22semidirect
193. #2536C22semidirect
194. #2503C22semidirect
197. #2499C22semidirect
199. #2498C22semidirect
207. #2487C22semidirect
209. #2485C22semidirect
210. #2484C22semidirect
215. #2453C22semidirect
217. #2451C22semidirect
219. #2450C22semidirect
221. #2449C22semidirect
224. #2446C22semidirect
225. #2446C22semidirect
227. #2444C22semidirect
229. #2443C22semidirect
230. #2442C22semidirect
232. #2440C22semidirect
233. #2440C22semidirect
234. #2440C22semidirect
236. #2438C22semidirect
237. #2438C22semidirect
241. #2434C22semidirect
243. #2423C22semidirect
245. #2421C22semidirect
246. #2419C22semidirect
247. #2419C22semidirect
250. #2415C22semidirect
252. #2413C22semidirect
254. #2409C22semidirect
257. #2396C22semidirect
258. #2396C22semidirect
259. C2×#400C22semidirect
261. C2×#395C22semidirect
263. #2356C22semidirect
264. #2356C22semidirect
265. #2353C22semidirect
266. #2353C22semidirect
273. #2346C22semidirect
274. #2343C22semidirect
280. #2327C22semidirect
281. #2326C22semidirect
282. #2323C22semidirect
283. #2323C22semidirect
284. #2323C22semidirect
285. #2322C22semidirect
286. C4×C4⋊Q8C22semidirect
289. C4×#123C22semidirect
290. #2295C22semidirect
291. C2×#389C22semidirect
292. #2290C22semidirect
295. C2×#387C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
299. C4×#117C22semidirect
300. C2×#376C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35212
C2×Q8×#412
#428792
#428752
#427932
#427892
#413742
#413702
#404952
#404912
#399552
#399512
#398672
#398662
#384222
#384212
#383712
#383702
#375602
#375482
#362612
#362382
#362172
#362162
#360312
#358362
#357392
#357022
#353262
#352452
#352012
#351112
#349722
C2×#26042
#341232