Finite Group Databasebeta

← #7681611

Subgroups — #7681611

Order 512.

6872 conjugacy classes of subgroups.

The subgroup lattice has 2072 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3524C211yesmaximal, characteristic, complemented
2C2×#3516C211yesmaximal, characteristic, complemented
3#59187C214yesmaximal, complemented
4#59176C214yesmaximal, complemented
5#59175C214yesmaximal, complemented
6#59171C214yesmaximal, complemented
7#44766C214yesmaximal, complemented
8#44764C214yesmaximal, complemented
9#43927C214yesmaximal, complemented
10#43924C214yesmaximal, complemented
11#39741C211yesmaximal, characteristic, complemented
12#39612C211yesmaximal, characteristic, complemented
13#38958C211yesmaximal, characteristic, complemented
14#38952C211yesmaximal, characteristic, complemented
15#38948C211yesmaximal, characteristic, complemented
16#38948C211yesmaximal, characteristic, complemented
17#38946C211yesmaximal, characteristic, complemented
18#38946C211yesmaximal, characteristic, complemented
19#37869C211yesmaximal, characteristic, complemented
20#37865C211yesmaximal, characteristic, complemented
21#37683C211yesmaximal, characteristic, complemented
22#37675C211yesmaximal, characteristic, complemented
23#36538C211yesmaximal, characteristic, complemented
24#36508C211yesmaximal, characteristic, complemented
25#36184C211yesmaximal, characteristic, complemented
26#36122C211yesmaximal, characteristic, complemented
27#35678C211yesmaximal, characteristic, complemented
28#35669C211yesmaximal, characteristic, complemented
29#35622C211yesmaximal, characteristic, complemented
30#35535C211yesmaximal, characteristic, complemented
31#35343C211yesmaximal, characteristic, complemented
32#35318C211yesmaximal, characteristic, complemented
33#35276C211yesmaximal, characteristic, complemented
34#34972C211yesmaximal, characteristic, complemented
35#34910C211yesmaximal, characteristic, complemented
36#34209C211yesmaximal, characteristic, complemented
37#34208C211yesmaximal, characteristic, complemented
38#34151C211yesmaximal, characteristic, complemented
39C4×#536C211yesmaximal, characteristic, complemented
40#3524—216no—
41#3516—216no—
42C2×#559C2212yes—
43C2×#559C2211yescharacteristic
44C2×#557C2211yescharacteristic
45C2×#557C2211yescharacteristic
46C2×#556C2212yes—
47C2×#556C2211yescharacteristic
48C2×#555C2211yescharacteristic
49C2×#555C2212yes—
50C2×#554C2211yescharacteristic
51C2×#554C2212yes—
52C2×#553C2211yescharacteristic
53C2×#553C2211yescharacteristic
54C2×#553C2212yes—
55C2×#553C2212yes—
56C2×#552C2211yescharacteristic
57C2×#552C2211yescharacteristic
58C2×#552C2212yes—
59C2×#552C2212yes—
60C2×#550C2211yescharacteristic
61C2×D4×Q8C2211yescharacteristic
62C2×#548C2211yescharacteristic
63C2×#548C2211yescharacteristic
64C2×#548C2211yescharacteristic
65C2×#548C2211yescharacteristic
66C2×#542C2211yescharacteristic
67C2×#542C2212yes—
68C2×#542C2212yes—
69C2×#542C2211yescharacteristic
70C2×#541C2211yescharacteristic
71C2×#541C2212yes—
72C2×#540C2211yescharacteristic
73C2×#540C2212yes—
74C2×#536C2211yescharacteristic
75C2×#532C2211yescharacteristic
76C22×C4⋊Q8C2211yescharacteristic
77C2×#529C2211yescharacteristic
78C2×#529C2211yescharacteristic
79C2×#529C2212yes—
80C2×#529C2212yes—
81C2×#529C2212yes—
82C2×#529C2212yes—
83C2×#529C2211yescharacteristic
84C2×#520C2211yescharacteristic
85C2×#520C2211yescharacteristic
86C2×#519C2211yescharacteristic
87C2×#519C2211yescharacteristic
88C2×C4×#41C2211yescharacteristic
89C22×C4×Q8C2211yescharacteristic
90#2862C2211yescharacteristic
91#2861C2211yescharacteristic
92#2861C2211yescharacteristic
93#2861C2211yescharacteristic
94#2861C2211yescharacteristic
95#2859C2211yescharacteristic
96#2858C2211yescharacteristic
97#2858C2211yescharacteristic
98#2857C2211yescharacteristic
99#2856C2211yescharacteristic
100#2850C2211yescharacteristic
101#2850C2211yescharacteristic
102#2734C2214yes—
103#2730C2214yes—
104#2726C2214yes—
105#2719C2214yes—
106#2705C2214yes—
107#2704C2214yes—
108#2704C2214yes—
109#2702C2214yes—
110#2702C2214yes—
111#2701C2214yes—
112#2701C2214yes—
113#2700C2214yes—
114#2700C2214yes—
115#2699C2214yes—
116#2699C2214yes—
117#2698C2214yes—
118#2677C2214yes—
119#2676C2214yes—
120#2674C2214yes—
121#2673C2214yes—
122#2672C2214yes—
123#2672C2214yes—
124#2672C2214yes—
125#2671C2214yes—
126#2660C2211yescharacteristic
127#2660C2211yescharacteristic
128#2658C2211yescharacteristic
129#2657C2211yescharacteristic
130#2621C2211yescharacteristic
131#2621C2211yescharacteristic
132#2620C2211yescharacteristic
133#2620C2211yescharacteristic
134#2620C2211yescharacteristic
135#2620C2211yescharacteristic
136#2619C2211yescharacteristic
137#2619C2211yescharacteristic
138#2604C2214yes—
139#2602C2214yes—
140#2602C2214yes—
141#2602C2214yes—
142#2601C2214yes—
143#2601C2214yes—
144#2601C2214yes—
145#2568C2211yescharacteristic
146#2567C2211yescharacteristic
147#2567C2211yescharacteristic
148#2566C2211yescharacteristic
149#2566C2211yescharacteristic
150#2565C2211yescharacteristic
151#2565C2211yescharacteristic
152#2565C2211yescharacteristic
153#2565C2211yescharacteristic
154#2565C2211yescharacteristic
155#2565C2211yescharacteristic
156#2558C2214yes—
157#2558C2214yes—
158#2556C2214yes—
159#2555C2214yes—
160#2554C2214yes—
161#2553C2214yes—
162#2553C2214yes—
163#2548C2211yescharacteristic
164#2548C2211yescharacteristic
165#2547C2211yescharacteristic
166#2546C2211yescharacteristic
167#2545C2211yescharacteristic
168#2545C2211yescharacteristic
169#2545C2211yescharacteristic
170#2545C2211yescharacteristic
171#2545C2211yescharacteristic
172#2545C2211yescharacteristic
173#2545C2214yes—
174#2544C2211yescharacteristic
175#2544C2211yescharacteristic
176#2542C2211yescharacteristic
177#2521C2214yes—
178#2519C2214yes—
179#2519C2214yes—
180#2519C2214yes—
181#2519C2214yes—
182#2503C2211yescharacteristic
183#2503C2211yescharacteristic
184#2502C2211yescharacteristic
185#2502C2211yescharacteristic
186#2501C2211yescharacteristic
187#2501C2211yescharacteristic
188#2500C2211yescharacteristic
189#2500C2211yescharacteristic
190#2500C2211yescharacteristic
191#2500C2211yescharacteristic
192#2499C2211yescharacteristic
193#2499C2211yescharacteristic
194#2491C2214yes—
195#2479C2214yes—
196#2479C2214yes—
197#2476C2214yes—
198#2476C2214yes—
199#2475C2214yes—
200#2474C2214yes—
201#2474C2214yes—
202#2474C2214yes—
203#2473C2214yes—
204#2471C2214yes—
205#2470C2214yes—
206#2469C2214yes—
207#2468C2214yes—
208#2468C2214yes—
209#2468C2214yes—
210#2467C2214yes—
211#2466C2214yes—
212#2465C2214yes—
213#2464C2214yes—
214#2463C2214yes—
215#2462C2214yes—
216#2462C2214yes—
217#2461C2214yes—
218#2461C2214yes—
219#2461C2214yes—
220#2459C2214yes—
221#2459C2214yes—
222#2458C2214yes—
223#2458C2214yes—
224#2457C2214yes—
225#2457C2214yes—
226#2456C2214yes—
227#2455C2214yes—
228#2454C2214yes—
229#2452C2214yes—
230#2449C2214yes—
231#2449C2214yes—
232#2445C2214yes—
233#2443C2214yes—
234#2439C2214yes—
235#2438C2214yes—
236#2436C2211yescharacteristic
237#2436C2211yescharacteristic
238#2436C2211yescharacteristic
239#2436C2211yescharacteristic
240#2434C2211yescharacteristic
241#2434C2211yescharacteristic
242#2432C2211yescharacteristic
243#2432C2211yescharacteristic
244#2432C2211yescharacteristic
245#2432C2211yescharacteristic
246#2431C2211yescharacteristic
247#2431C2211yescharacteristic
248#2429C2214yes—
249#2425C2214yes—
250#2420C2214yes—
251#2419C2214yes—
252#2416C2214yes—
253#2413C2214yes—
254#2396C2214yes—
255#2392C2214yes—
256#2374C2212yes—
257#2374C2212yes—
258#2373C2212yes—
259#2373C2212yes—
260#2370C2212yes—
261#2367C2214yes—
262#2367C2212yes—
263#2365C2214yes—
264#2365C2214yes—
265#2364C2214yes—
266#2364C2214yes—
267#2363C2212yes—
268#2362C2214yes—
269#2362C2212yes—
270#2361C2214yes—
271#2359C2214yes—
272#2352C2214yes—
273#2352C2214yes—
274#2344C2214yes—
275#2344C2214yes—
276#2328C2211yescharacteristic
277#2328C2211yescharacteristic
278#2327C2211yescharacteristic
279#2327C2211yescharacteristic
280#2327C2211yescharacteristic
281#2327C2211yescharacteristic
282#2327C2211yescharacteristic
283#2327C2211yescharacteristic
284#2326C2211yescharacteristic
285#2326C2211yescharacteristic
286#2326C2211yescharacteristic
287#2326C2211yescharacteristic
288#2323C2214yes—
289#2322C2214yes—
290#2317C2211yescharacteristic
291#2311C2211yescharacteristic
292#2311C2211yescharacteristic
293#2311C2211yescharacteristic
294#2310C2211yescharacteristic
295#2310C2211yescharacteristic
296#2310C2211yescharacteristic
297C4×C4⋊Q8C2211yescharacteristic
298C4×C4⋊Q8C2211yescharacteristic
299C4×C4⋊Q8C2211yescharacteristic
300C4×C4⋊Q8C2211yescharacteristic
301C4×C4⋊Q8C2211yescharacteristic
302C4×C4⋊Q8C2211yescharacteristic
303C4×C4⋊Q8C2211yescharacteristic
304C4×#127C2211yescharacteristic
305C4×#124C2211yescharacteristic
306C4×#124C2211yescharacteristic
307C4×#124C2211yescharacteristic
308C4×#124C2211yescharacteristic
309C4×#124C2211yescharacteristic
310C4×#124C2211yescharacteristic
311C4×#124C2211yescharacteristic
312C4×#124C2211yescharacteristic
313C4×C22⋊Q8C2214yes—
314C4×#123C2214yes—
315C4×#123C2214yes—
316#2298C2211yescharacteristic
317#2298C2211yescharacteristic
318#2295C2211yescharacteristic
319#2293C2211yescharacteristic
320#2293C2211yescharacteristic
321#2293C2211yescharacteristic
322#2290C2214yes—
323#2290C2211yescharacteristic
324#2290C2211yescharacteristic
325#2285C2211yescharacteristic
326C2×#382C2211yescharacteristic
327C42×Q8C2211yescharacteristic
328C42×D4C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C4×#117C2211yescharacteristic
332C4×#117C2211yescharacteristic
333C22×#41C2311yescharacteristic
334C22×#41C2311yescharacteristic
335C22×#41C2311yescharacteristic
336C23×Q8C2311yescharacteristic
337C23×Q8C2311yescharacteristic
338C23×Q8C2311yescharacteristic
339#559—216no—
340#559—28no—
341#557—28no—
342#557—28no—
343#556—216no—
344#556—28no—
345#555—216no—
346#555—28no—
347#554—216no—
348#554—28no—
349#553—216no—
350#553—216no—
351#553—28no—
352#553—28no—
353#552—216no—
354#552—216no—
355#552—28no—
356#552—28no—
357#550—28no—
358D4×Q8—28no—
359#548—28no—
360#548—28no—
361#548—28no—
362#548—28no—
363#542—216no—
364#542—216no—
365#542—28no—
366#542—28no—
367#541—216no—
368#541—28no—
369#540—216no—
370#540—28no—
371#536—28no—
372#532—28no—
373C2×C4⋊Q8—28no—
374C2×C4⋊Q8C2311yescharacteristic
375C2×C4⋊Q8C2311yescharacteristic
376C2×C4⋊Q8C2311yescharacteristic
377C2×C4⋊Q8C2311yescharacteristic
378C2×C4⋊Q8C2311yescharacteristic
379C2×C4⋊Q8C2311yescharacteristic
380C2×C4⋊Q8C2311yescharacteristic
381C2×C4⋊Q8C2314yes—
382C2×C4⋊Q8C2312yes—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2311yescharacteristic
387C2×#127C2311yescharacteristic
388C2×#127C2311yescharacteristic
389C2×#127C2312yes—
390C2×#127C2311yescharacteristic
391#529—216no—
392#529—216no—
393#529—216no—
394#529—216no—
395#529—28no—
396#529—28no—
397#529D4116yescomplemented
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2311yescharacteristic
411C2×#126C2311yescharacteristic
412C2×#125C2311yescharacteristic
413C2×#125C2311yescharacteristic
414C2×#125C2311yescharacteristic
415C2×#125C2311yescharacteristic
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2312yes—
424C2×#125C2312yes—
425C2×#125C2311yescharacteristic
426C2×#124C2311yescharacteristic
427C2×#124C2311yescharacteristic
428C2×#124C2311yescharacteristic
429C2×#124C2311yescharacteristic
430C2×#124C2311yescharacteristic
431C2×#124C2311yescharacteristic
432C2×#124C2312yes—
433C2×#124C2312yes—
434C2×#124C2312yes—
435C2×#124C2312yes—
436C2×#124C2312yes—
437C2×#124C2311yescharacteristic
438C2×#124C2311yescharacteristic
439C2×#124C2312yes—
440C2×#124C2312yes—
441C2×#124C2312yes—
442C2×#124C2312yes—
443C2×#124C2311yescharacteristic
444C2×#124C2311yescharacteristic
445C2×#124C2314yes—
446C2×#124C2311yescharacteristic
447C2×#124C2311yescharacteristic
448C2×#124C2311yescharacteristic
449C2×#123C2314yes—
450C2×#123C2312yes—
451C2×#123C2312yes—
452C2×#123C2312yes—
453C2×#123C2312yes—
454C2×#123C2312yes—
455C2×#123C2312yes—
456C2×#123C2312yes—
457C2×#123C2312yes—
458C2×#123C2312yes—
459C2×#123C2312yes—
460C2×#123C2312yes—
461C2×#123C2312yes—
462C2×#123C2314yes—
463C2×#123C2314yes—
464C2×#123C2311yescharacteristic
465C2×#123C2311yescharacteristic
466C2×C22⋊Q8C2314yes—
467C2×C22⋊Q8C2311yescharacteristic
468C2×C22⋊Q8C2311yescharacteristic
469C2×C22⋊Q8C2311yescharacteristic
470C2×C22⋊Q8C2311yescharacteristic
471C2×C22⋊Q8C2311yescharacteristic
472C2×C22⋊Q8C2311yescharacteristic
473C2×C22⋊Q8C2312yes—
474C2×C22⋊Q8C2312yes—
475C2×C22⋊Q8C2312yes—
476C2×C22⋊Q8C2312yes—
477C2×C22⋊Q8C2312yes—
478C2×C22⋊Q8C2312yes—
479C2×C22⋊Q8C2312yes—
480C2×C22⋊Q8C2312yes—
481C2×C22⋊Q8C2312yes—
482C2×C22⋊Q8C2312yes—
483C2×C22⋊Q8C2312yes—
484C2×C22⋊Q8C2314yes—
485C2×C22⋊Q8C2311yescharacteristic
486C2×#121C2311yescharacteristic
487C2×#121C2311yescharacteristic
488C2×#121C2311yescharacteristic
489C2×#121C2311yescharacteristic
490C2×#121C2311yescharacteristic
491C2×#121C2311yescharacteristic
492C2×#121C2314yes—
493C2×#121C2312yes—
494C2×#121C2312yes—
495C2×#121C2312yes—
496C2×#121C2312yes—
497C2×#121C2312yes—
498C2×#121C2312yes—
499C2×#121C2312yes—
500C2×#121C2312yes—
501C2×#121C2312yes—
502C2×#121C2312yes—
503C2×#121C2312yes—
504C2×#121C2314yes—
505C2×#121C2311yescharacteristic
506#520—28no—
507#520—28no—
508#519—28no—
509#519—28no—
510C4×#41—28no—
511C2×C4×Q8—28no—
512C2×C4×Q8C2311yescharacteristic
513C2×C4×Q8C2311yescharacteristic
514C2×C4×Q8C2311yescharacteristic
515C2×C4×Q8C2311yescharacteristic
516C2×C4×Q8C2311yescharacteristic
517C2×C4×Q8C2311yescharacteristic
518C2×C4×Q8C2311yescharacteristic
519C2×C4×Q8C2311yescharacteristic
520C2×C4×Q8C2311yescharacteristic
521C2×C4×Q8C2311yescharacteristic
522C2×C4×Q8C2311yescharacteristic
523C2×C4×Q8C2311yescharacteristic
524C2×C4×Q8C2311yescharacteristic
525C2×C4×Q8C2311yescharacteristic
526C2×C4×Q8C2312yes—
527C2×C4×Q8C2312yes—
528C2×C4×Q8C2312yes—
529C2×C4×Q8C2312yes—
530C2×C4×Q8C2312yes—
531C2×C4×Q8C2312yes—
532C2×C4×Q8C2312yes—
533C2×C4×Q8C2312yes—
534C2×C4×Q8C2312yes—
535C2×C4×Q8C2311yescharacteristic
536C2×C4×D4C2311yescharacteristic
537C2×C4×D4C2311yescharacteristic
538C2×C4×D4C2311yescharacteristic
539C2×C4×D4C2311yescharacteristic
540C2×C4×D4C2312yes—
541C2×C4×D4C2311yescharacteristic
542C2×C4×D4C2311yescharacteristic
543C2×C4×D4C2312yes—
544C2×C4×D4C2312yes—
545C2×C4×D4C2312yes—
546C2×C4×D4C2314yes—
547C2×C4×D4C2312yes—
548C2×C4×D4C2312yes—
549C2×C4×D4C2312yes—
550C2×C4×D4C2312yes—
551C2×C4×D4C2312yes—
552C2×C4×D4C2312yes—
553C2×C4×D4C2312yes—
554C2×C4×D4C2312yes—
555C2×C4×D4C2312yes—
556C2×C4×D4C2312yes—
557C2×C4×D4C2312yes—
558C2×C4×D4C2312yes—
559C2×C4×D4C2312yes—
560C2×C4×D4C2312yes—
561C2×C4×D4C2314yes—
562C2×C4×D4C2312yes—
563C2×C4×D4C2311yescharacteristic
564C2×C4×D4C2311yescharacteristic
565C2×C4×D4C2311yescharacteristic
566C2×#117C2311yescharacteristic
567C2×#117C2311yescharacteristic
568C2×#117C2311yescharacteristic
569C2×#117C2311yescharacteristic
570C2×#117C2312yes—
571C2×#117C2312yes—
572C2×#117C2312yes—
573C2×#117C2312yes—
574C2×#117C2312yes—
575C2×#117C2312yes—
576C2×#117C2312yes—
577C2×#117C2312yes—
578C2×#117C2312yes—
579C2×#117C2312yes—
580C2×#117C2312yes—
581C2×#117C2312yes—
582C2×#117C2312yes—
583C2×#117C2311yescharacteristic
584C2×#117C2311yescharacteristic
585C2×#117C2311yescharacteristic
586C2×#117C2312yes—
587C2×#117C2311yescharacteristic
588C2×#117C2311yescharacteristic
589C22×C4⋊C4C2311yescharacteristic
590C22×C4⋊C4C2311yescharacteristic
591C22×C4⋊C4C2311yescharacteristic
592C22×C4⋊C4C2312yes—
593C22×C4⋊C4C2314yes—
594C22×C4⋊C4C2312yes—
595C22×C4⋊C4C2312yes—
596C22×C42C2311yescharacteristic
597C22×C42C2311yescharacteristic
598C22×C42C2312yes—
599C22×C42C2312yes—
600C22×C42C2311yescharacteristic
601#400C2314yes—
602#400C2314yes—
603#400C2314yes—
604#399C2314yes—
605#399C2314yes—
606#399C2314yes—
607#399C2314yes—
608#399C2314yes—
609#398C2314yes—
610#398C2314yes—
611#398C2314yes—
612#398C2314yes—
613#398C2314yes—
614#398C2314yes—
615#398C2314yes—
616#398C2314yes—
617#398C2314yes—
618#398C2314yes—
619#398C2314yes—
620#398C2314yes—
621#398C2314yes—
622#397C2314yes—
623#397C2314yes—
624#397C2314yes—
625#397C2314yes—
626#397C2314yes—
627#396C2314yes—
628#396C2314yes—
629#396C2314yes—
630#396C2314yes—
631#396C2314yes—
632#396C2314yes—
633#396C2314yes—
634#396C2314yes—
635#396C2314yes—
636#396C2314yes—
637#396C2314yes—
638#396C2314yes—
639#395C2314yes—
640#395C2314yes—
641#395C2314yes—
642#395C2314yes—
643#395C2314yes—
644#395C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2314yes—
650#394C2314yes—
651#394C2314yes—
652#394C2314yes—
653#394C2314yes—
654#394C2314yes—
655#394C2314yes—
656#394C2314yes—
657#394C2314yes—
658#394C2314yes—
659#394C2314yes—
660#394C2314yes—
661#394C2314yes—
662#394C2314yes—
663#393C2314yes—
664#393C2314yes—
665#393C2314yes—
666#393C2314yes—
667#392C2314yes—
668#392C2314yes—
669#392C2314yes—
670#392C2314yes—
671#392C2314yes—
672#392C2314yes—
673#391C2311yescharacteristic
674#391C2311yescharacteristic
675#391C2311yescharacteristic
676#391C2311yescharacteristic
677#391C2311yescharacteristic
678#391C2311yescharacteristic
679#391C2311yescharacteristic
680#391C2311yescharacteristic
681#391C2311yescharacteristic
682#391C2311yescharacteristic
683#391C2311yescharacteristic
684#391C2311yescharacteristic
685#391C2311yescharacteristic
686#391C2311yescharacteristic
687#391C2311yescharacteristic
688#391C2311yescharacteristic
689#391C2311yescharacteristic
690#391C2311yescharacteristic
691#391C2314yes—
692#391C2311yescharacteristic
693#391C2314yes—
694#391C2314yes—
695#391C2311yescharacteristic
696#391C2314yes—
697#391C2314yes—
698#391C2312yes—
699#390C2311yescharacteristic
700#390C2311yescharacteristic
701#390C2314yes—
702#390C2311yescharacteristic
703#390C2311yescharacteristic
704#390C2311yescharacteristic
705#390C2311yescharacteristic
706#390C2311yescharacteristic
707#390C2311yescharacteristic
708#390C2311yescharacteristic
709#390C2311yescharacteristic
710#390C2311yescharacteristic
711#390C2311yescharacteristic
712#390C2314yes—
713#390C2314yes—
714#390C2314yes—
715#390C2314yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2314yes—
720#390C2314yes—
721#389C2314yes—
722#389C2314yes—
723#389C2314yes—
724#389C2314yes—
725#389C2314yes—
726#389C2314yes—
727#389C2314yes—
728#389C2314yes—
729#389C2314yes—
730#389C2314yes—
731#389C2314yes—
732#389C2314yes—
733#389C2314yes—
734#389C2312yes—
735#389C2314yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#388C2314yes—
748#388C2314yes—
749#388C2314yes—
750#388C2314yes—
751#388C2314yes—
752#388C2314yes—
753#388C2314yes—
754#388C2314yes—
755#388C2314yes—
756#388C2314yes—
757#388C2314yes—
758#388C2314yes—
759#388C2314yes—
760#388C2314yes—
761#388C2314yes—
762#388C2314yes—
763#388C2314yes—
764#388C2314yes—
765#388C2314yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2314yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2314yes—
778#388C2312yes—
779#388C2312yes—
780#388C2314yes—
781#388C2314yes—
782#388C2314yes—
783#387C2314yes—
784#387C2314yes—
785#387C2314yes—
786#387C2314yes—
787#387C2314yes—
788#387C2314yes—
789#387C2314yes—
790#387C2314yes—
791#387C2314yes—
792#387C2314yes—
793#387C2314yes—
794#387C2314yes—
795#387C2314yes—
796#387C2314yes—
797#387C2314yes—
798#387C2314yes—
799#387C2314yes—
800#387C2314yes—
801#387C2314yes—
802#387C2314yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#386C2314yes—
812#386C2314yes—
813#386C2314yes—
814#386C2314yes—
815#386C2314yes—
816#386C2314yes—
817#386C2314yes—
818#386C2314yes—
819#386C2314yes—
820#386C2314yes—
821#386C2314yes—
822#386C2314yes—
823#386C2314yes—
824#386C2312yes—
825#386C2312yes—
826#386C2314yes—
827#386C2314yes—
828#386C2314yes—
829#386C2314yes—
830#385C2314yes—
831#385C2314yes—
832#385C2314yes—
833#385C2314yes—
834#385C2314yes—
835#385C2314yes—
836#385C2314yes—
837#385C2314yes—
838#385C2314yes—
839#385C2314yes—
840#385C2314yes—
841#385C2312yes—
842#385C2312yes—
843#385C2314yes—
844#385C2314yes—
845#385C2314yes—
846#385C2314yes—
847#384C2311yescharacteristic
848#384C2311yescharacteristic
849#384C2311yescharacteristic
850#384C2311yescharacteristic
851#384C2311yescharacteristic
852#384C2311yescharacteristic
853#384C2311yescharacteristic
854#384C2311yescharacteristic
855#382C2311yescharacteristic
856#382C2311yescharacteristic
857#382C2311yescharacteristic
858#382C2311yescharacteristic
859#382C2311yescharacteristic
860#382C2311yescharacteristic
861#382C2311yescharacteristic
862#382C2311yescharacteristic
863#382C2314yes—
864#382C2314yes—
865#381C2314yes—
866#381C2314yes—
867#381C2314yes—
868#381C2314yes—
869#381C2314yes—
870#380C2314yes—
871#380C2314yes—
872#380C2314yes—
873#380C2314yes—
874#380C2314yes—
875#380C2314yes—
876C4×C4⋊C4C2314yes—
877C4×C4⋊C4C2314yes—
878C4×C4⋊C4C2314yes—
879C4×C4⋊C4C2314yes—
880C4×C4⋊C4C2314yes—
881C4×C4⋊C4C2314yes—
882C4×C4⋊C4C2314yes—
883C4×C4⋊C4C2311yescharacteristic
884C4×C4⋊C4C2311yescharacteristic
885C4×C4⋊C4C2311yescharacteristic
886C4×C4⋊C4C2311yescharacteristic
887C4×C4⋊C4C2311yescharacteristic
888C4×C4⋊C4C2311yescharacteristic
889C4×C4⋊C4C2312yes—
890C4×C4⋊C4C2312yes—
891C4×C4⋊C4C2312yes—
892C4×C4⋊C4C2312yes—
893C4×C4⋊C4C2312yes—
894C4×C4⋊C4C2314yes—
895C4×C4⋊C4C2312yes—
896C4×C4⋊C4C2312yes—
897C4×C4⋊C4C2312yes—
898C4×C4⋊C4C2312yes—
899C4×C4⋊C4C2312yes—
900C4×C4⋊C4C2312yes—
901C4×C22⋊C4C2312yes—
902C4×C22⋊C4C2312yes—
903C4×C22⋊C4C2312yes—
904C4×C22⋊C4C2312yes—
905C4×C22⋊C4C2312yes—
906C4×C22⋊C4C2314yes—
907C4×C22⋊C4C2314yes—
908C4×C22⋊C4C2314yes—
909C4×C22⋊C4C2314yes—
910C4×C22⋊C4C2312yes—
911C4×C22⋊C4C2314yes—
912C4×C22⋊C4C2312yes—
913C4×C22⋊C4C2312yes—
914C4×C22⋊C4C2312yes—
915C4×C22⋊C4C2314yes—
916C4×C22⋊C4C2314yes—
917C4×C22⋊C4C2314yes—
918C4×C22⋊C4C2311yescharacteristic
919C4×C22⋊C4C2311yescharacteristic
920C4×C22⋊C4C2311yescharacteristic
921C4×C22⋊C4C2311yescharacteristic
922C4×C22⋊C4C2311yescharacteristic
923C4×C22⋊C4C2311yescharacteristic
924#376C2311yescharacteristic
925#376C2311yescharacteristic
926#376C2311yescharacteristic
927#376C2311yescharacteristic
928#376C2312yes—
929C2×#95C2314yes—
930C43C2311yescharacteristic
931C43C2311yescharacteristic
932C43C2311yescharacteristic
933C43C2311yescharacteristic
934C43C2311yescharacteristic
935C43C2311yescharacteristic
936C2×#41—24no—
937C2×#41—24no—
938C2×#41—24no—
939C2×#41—24no—
940C2×#41—24no—
941C2×#41—24no—
942C2×#41—42no—
943C2×#41—42no—
944C2×#41—42no—
945C22×Q8—24no—
946C22×Q8—24no—
947C22×Q8—24no—
948C22×Q8—24no—
949C22×Q8—24no—
950C22×Q8—24no—
951C22×Q8—42no—
952C22×Q8—42no—
953C22×Q8—42no—
954C22×Q8C2411yescharacteristic
955C22×Q8C2411yescharacteristic
956C22×Q8C2411yescharacteristic
957C22×Q8C2412yes—
958C22×Q8C2412yes—
959C22×Q8C2412yes—
960C22×Q8C2411yescharacteristic
961C22×Q8C2411yescharacteristic
962C22×Q8C2412yes—
963C22×Q8C2412yes—
964C22×Q8C2411yescharacteristic
965C22×D4C2411yescharacteristic
966C22×D4C2411yescharacteristic
967C22×D4C2411yescharacteristic
968C22×D4C2412yes—
969C22×D4C2412yes—
970C22×D4C2412yes—
971C22×D4C2412yes—
972C22×D4C2412yes—
973C22×D4C2412yes—
974C22×D4C2412yes—
975C22×D4C2412yes—
976C22×D4C2412yes—
977C22×D4C2412yes—
978C22×D4C2414yes—
979C22×D4C2412yes—
980C22×D4C2414yes—
981C22×D4C2411yescharacteristic
982C22×D4C2411yescharacteristic
983C22×D4C2411yescharacteristic
984C23×C4C2412yes—
985C23×C4C2412yes—
986C23×C4C2412yes—
987C23×C4C2412yes—
988C23×C4C2412yes—
989C23×C4C2412yes—
990C23×C4C2412yes—
991C23×C4C2411yescharacteristic
992C23×C4C2411yescharacteristic
993C23×C4C2411yescharacteristic
994C23×C4C2412yes—
995C23×C4C2412yes—
996C23×C4C2412yes—
997C23×C4C2412yes—
998C23×C4C2412yes—
999C23×C4C2412yes—
1000C23×C4C2412yes—
1001C23×C4C2412yes—
1002C23×C4C2412yes—
1003C23×C4C2412yes—
1004C23×C4C2411yescharacteristic
1005C23×C4C2411yescharacteristic
1006C4⋊Q8—28no—
1007C4⋊Q8—28no—
1008C4⋊Q8—24no—
1009C4⋊Q8—24no—
1010C4⋊Q8—24no—
1011C4⋊Q8—28no—
1012C4⋊Q8—216no—
1013C4⋊Q8—24no—
1014C4⋊Q8—24no—
1015C4⋊Q8—24no—
1016C4⋊Q8—24no—
1017C4⋊Q8—42no—
1018C4⋊Q8#4118yes—
1019#127—28no—
1020#127—24no—
1021#127—24no—
1022#127—42no—
1023#126—28no—
1024#126—28no—
1025#126—28no—
1026#126—28no—
1027#126—28no—
1028#126—28no—
1029#126—28no—
1030#126—28no—
1031#126—28no—
1032#126—28no—
1033#126—28no—
1034#126—28no—
1035#126C2×D418yes—
1036#126C2×D418yes—
1037#125—28no—
1038#125—28no—
1039#125—28no—
1040#125—28no—
1041#125—28no—
1042#125—28no—
1043#125—28no—
1044#125—28no—
1045#125—28no—
1046#125—24no—
1047#125—24no—
1048#125—24no—
1049#125—24no—
1050#125C2×D418yes—
1051#124—28no—
1052#124—24no—
1053#124—24no—
1054#124—24no—
1055#124—28no—
1056#124—28no—
1057#124—28no—
1058#124—28no—
1059#124—28no—
1060#124—28no—
1061#124—28no—
1062#124—28no—
1063#124—24no—
1064#124—24no—
1065#124—24no—
1066#124—24no—
1067#124—24no—
1068#124—48no—
1069#124—42no—
1070#124—42no—
1071#124—42no—
1072#124—42no—
1073#124C2×D418yes—
1074#123—28no—
1075#123—28no—
1076#123—28no—
1077#123—28no—
1078#123—28no—
1079#123—28no—
1080#123—28no—
1081#123—28no—
1082#123—216no—
1083#123—28no—
1084#123—28no—
1085#123—28no—
1086#123—28no—
1087#123—48no—
1088#123—48no—
1089#123C2×D418yes—
1090#123C2×D418yes—
1091C22⋊Q8—28no—
1092C22⋊Q8—24no—
1093C22⋊Q8—24no—
1094C22⋊Q8—24no—
1095C22⋊Q8—24no—
1096C22⋊Q8—24no—
1097C22⋊Q8—24no—
1098C22⋊Q8—28no—
1099C22⋊Q8—28no—
1100C22⋊Q8—28no—
1101C22⋊Q8—28no—
1102C22⋊Q8—28no—
1103C22⋊Q8—28no—
1104C22⋊Q8—216no—
1105C22⋊Q8—28no—
1106C22⋊Q8—28no—
1107C22⋊Q8—28no—
1108C22⋊Q8—28no—
1109C22⋊Q8—48no—
1110C22⋊Q8C2×D418yes—
1111#121—28no—
1112#121—28no—
1113#121—28no—
1114#121—28no—
1115#121—28no—
1116#121—28no—
1117#121—28no—
1118#121—24no—
1119#121—24no—
1120#121—24no—
1121#121—24no—
1122#121—24no—
1123#121—24no—
1124#121—216no—
1125#121—28no—
1126#121—28no—
1127#121—28no—
1128#121—28no—
1129#121—48no—
1130#121C2×D418yes—
1131C4×Q8—28no—
1132C4×Q8—28no—
1133C4×Q8—28no—
1134C4×Q8—28no—
1135C4×Q8—28no—
1136C4×Q8—28no—
1137C4×Q8—24no—
1138C4×Q8—28no—
1139C4×Q8—24no—
1140C4×Q8—24no—
1141C4×Q8—24no—
1142C4×Q8—28no—
1143C4×Q8—24no—
1144C4×Q8—24no—
1145C4×Q8—24no—
1146C4×Q8—24no—
1147C4×Q8—24no—
1148C4×Q8—24no—
1149C4×Q8—24no—
1150C4×Q8—24no—
1151C4×Q8—24no—
1152C4×Q8—24no—
1153C4×Q8—44no—
1154C4×Q8C2×D418yes—
1155C4×D4—28no—
1156C4×D4—28no—
1157C4×D4—28no—
1158C4×D4—28no—
1159C4×D4—28no—
1160C4×D4—28no—
1161C4×D4—28no—
1162C4×D4—28no—
1163C4×D4—216no—
1164C4×D4—28no—
1165C4×D4—28no—
1166C4×D4—28no—
1167C4×D4—28no—
1168C4×D4—28no—
1169C4×D4—28no—
1170C4×D4—28no—
1171C4×D4—28no—
1172C4×D4—28no—
1173C4×D4—28no—
1174C4×D4—24no—
1175C4×D4—24no—
1176C4×D4—24no—
1177C4×D4—24no—
1178C4×D4—24no—
1179C4×D4—24no—
1180C4×D4—48no—
1181C4×D4—44no—
1182C4×D4C2×D418yes—
1183C4×D4C2×D418yes—
1184C4×D4C2×D418yes—
1185#117—24no—
1186#117—24no—
1187#117—24no—
1188#117—28no—
1189#117—28no—
1190#117—28no—
1191#117—28no—
1192#117—28no—
1193#117—28no—
1194#117—28no—
1195#117—28no—
1196#117—28no—
1197#117—28no—
1198#117—28no—
1199#117—28no—
1200#117—28no—
1201#117—24no—
1202#117—42no—
1203#117—42no—
1204#117—42no—
1205#117—44no—
1206#117C2×D418yes—
1207#117C2×D418yes—
1208C2×C4⋊C4—28no—
1209C2×C4⋊C4—24no—
1210C2×C4⋊C4—24no—
1211C2×C4⋊C4—24no—
1212C2×C4⋊C4—28no—
1213C2×C4⋊C4—28no—
1214C2×C4⋊C4—216no—
1215C2×C4⋊C4C2411yescharacteristic
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2411yescharacteristic
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2411yescharacteristic
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2411yescharacteristic
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2411yescharacteristic
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2414yes—
1231C2×C4⋊C4C2414yes—
1232C2×C4⋊C4C2414yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2411yescharacteristic
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2411yescharacteristic
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2411yescharacteristic
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2414yes—
1265C2×C4⋊C4C2414yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2414yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2414yes—
1273C2×C4⋊C4C2414yes—
1274C2×C4⋊C4C2414yes—
1275C2×C4⋊C4C2414yes—
1276C2×C4⋊C4C2414yes—
1277C2×C4⋊C4C2414yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2414yes—
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2414yes—
1292C2×C22⋊C4C2412yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2414yes—
1321C2×C22⋊C4C2414yes—
1322C2×C22⋊C4C2414yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2414yes—
1328C2×C22⋊C4C2414yes—
1329C2×C22⋊C4C2414yes—
1330C2×C22⋊C4C2414yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2414yes—
1337C2×C22⋊C4C2414yes—
1338C2×C22⋊C4C2414yes—
1339C2×C22⋊C4C2414yes—
1340C2×C22⋊C4C2414yes—
1341C2×C22⋊C4C2414yes—
1342C2×C22⋊C4C2414yes—
1343C2×C22⋊C4C2414yes—
1344C2×C22⋊C4C2414yes—
1345C2×C22⋊C4C2414yes—
1346C2×C22⋊C4C2414yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2414yes—
1350C2×C22⋊C4C2414yes—
1351C2×C22⋊C4C2411yescharacteristic
1352C2×C22⋊C4C2411yescharacteristic
1353C2×C22⋊C4C2411yescharacteristic
1354C2×C22⋊C4C2411yescharacteristic
1355C2×C22⋊C4C2411yescharacteristic
1356C2×C22⋊C4C2411yescharacteristic
1357C2×C22⋊C4C2411yescharacteristic
1358C2×C22⋊C4C2411yescharacteristic
1359C2×C22⋊C4C2411yescharacteristic
1360C2×C22⋊C4C2411yescharacteristic
1361C2×C42—28no—
1362C2×C42—28no—
1363C2×C42—24no—
1364C2×C42—24no—
1365C2×C42C2×D418yes—
1366C2×C42C2412yes—
1367C2×C42C2411yescharacteristic
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2411yescharacteristic
1383C2×C42C2411yescharacteristic
1384C2×C42C2411yescharacteristic
1385C2×C42C2411yescharacteristic
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2411yescharacteristic
1392C2×C42C2411yescharacteristic
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2411yescharacteristic
1405C2×C42C2411yescharacteristic
1406C2×C42C2411yescharacteristic
1407C2×C42C2411yescharacteristic
1408C2×C42C2411yescharacteristic
1409C2×C42C2411yescharacteristic
1410C2×C42C2411yescharacteristic
1411#95C2414yes—
1412#95C2414yes—
1413#95C2414yes—
1414#95C2414yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2414yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2414yes—
1431#95C2414yes—
1432#95C2414yes—
1433#95C2414yes—
1434#95C2414yes—
1435#95C2414yes—
1436#95C2414yes—
1437#95C2414yes—
1438#95C2412yes—
1439#95C2414yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2414yes—
1444#95C2414yes—
1445#95C2414yes—
1446#95C2414yes—
1447#95C2414yes—
1448#95C2414yes—
1449#95C2414yes—
1450#95C2414yes—
1451#95C2414yes—
1452#95C2414yes—
1453#95C2414yes—
1454#95C2414yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2414yes—
1458#95C2414yes—
1459C24C2512yes—
1460C24C2512yes—
1461C24C2512yes—
1462C24C2511yescharacteristic
1463C24C2511yescharacteristic
1464C24C2511yescharacteristic
1465#41—416no—
1466#41—416no—
1467#41—416no—
1468C2×Q8—22no—
1469C2×Q8—22no—
1470C2×Q8—24no—
1471C2×Q8—22no—
1472C2×Q8—24no—
1473C2×Q8—24no—
1474C2×Q8—22no—
1475C2×Q8—22no—
1476C2×Q8—24no—
1477C2×Q8—24no—
1478C2×Q8—24no—
1479C2×Q8—22no—
1480C2×Q8—24no—
1481C2×Q8—24no—
1482C2×Q8—22no—
1483C2×Q8—22no—
1484C2×Q8—22no—
1485C2×Q8—22no—
1486C2×Q8—22no—
1487C2×Q8—22no—
1488C2×Q8—22no—
1489C2×Q8—42no—
1490C2×Q8—42no—
1491C2×Q8—42no—
1492C2×Q8—42no—
1493C2×Q8—44no—
1494C2×Q8—44no—
1495C2×Q8—416no—
1496C2×Q8—416no—
1497C2×Q8—416no—
1498C2×Q8C22×D414yes—
1499C2×Q8C2×#4114yes—
1500C2×Q8C2×#4114yes—
1501C2×D4—24no—
1502C2×D4—24no—
1503C2×D4—24no—
1504C2×D4—24no—
1505C2×D4—24no—
1506C2×D4—24no—
1507C2×D4—24no—
1508C2×D4—24no—
1509C2×D4—24no—
1510C2×D4—22no—
1511C2×D4—22no—
1512C2×D4—22no—
1513C2×D4—24no—
1514C2×D4—24no—
1515C2×D4—24no—
1516C2×D4—24no—
1517C2×D4—24no—
1518C2×D4—22no—
1519C2×D4—22no—
1520C2×D4—22no—
1521C2×D4—28no—
1522C2×D4—22no—
1523C2×D4—22no—
1524C2×D4—22no—
1525C2×D4—42no—
1526C2×D4—42no—
1527C2×D4—42no—
1528C2×D4—44no—
1529C2×D4—42no—
1530C2×D4—42no—
1531C2×D4—42no—
1532C2×D4—44no—
1533C2×D4—44no—
1534C2×D4—44no—
1535C2×D4—44no—
1536C2×D4—44no—
1537C2×D4—44no—
1538C2×D4—44no—
1539C2×D4—44no—
1540C2×D4—44no—
1541C2×D4—44no—
1542C2×D4—44no—
1543C2×D4—44no—
1544C2×D4C22×D414yes—
1545C2×D4C22×D414yes—
1546C2×D4C22×D414yes—
1547C22×C4—22no—
1548C22×C4—22no—
1549C22×C4—22no—
1550C22×C4—22no—
1551C22×C4—22no—
1552C22×C4—22no—
1553C22×C4—24no—
1554C22×C4—24no—
1555C22×C4—24no—
1556C22×C4—24no—
1557C22×C4—24no—
1558C22×C4—24no—
1559C22×C4—24no—
1560C22×C4—24no—
1561C22×C4—24no—
1562C22×C4—24no—
1563C22×C4—24no—
1564C22×C4—24no—
1565C22×C4—24no—
1566C22×C4—24no—
1567C22×C4—24no—
1568C22×C4—24no—
1569C22×C4—24no—
1570C22×C4—24no—
1571C22×C4—24no—
1572C22×C4—24no—
1573C22×C4—24no—
1574C22×C4—24no—
1575C22×C4—24no—
1576C22×C4—24no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—44no—
1587C22×C4—44no—
1588C22×C4—42no—
1589C22×C4—44no—
1590C22×C4—44no—
1591C22×C4—44no—
1592C22×C4—44no—
1593C22×C4—44no—
1594C22×C4—44no—
1595C22×C4—42no—
1596C22×C4—44no—
1597C22×C4C22×D414yes—
1598C22×C4C22×D414yes—
1599C22×C4C22×D414yes—
1600C22×C4C22×D414yes—
1601C22×C4C22×D414yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2511yescharacteristic
1620C22×C4C2511yescharacteristic
1621C22×C4C2511yescharacteristic
1622C22×C4C2511yescharacteristic
1623C22×C4C2511yescharacteristic
1624C22×C4C2511yescharacteristic
1625C22×C4C2511yescharacteristic
1626C22×C4C2511yescharacteristic
1627C22×C4C2511yescharacteristic
1628C22×C4C2511yescharacteristic
1629C22×C4C2511yescharacteristic
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2511yescharacteristic
1635C4⋊C4—24no—
1636C4⋊C4—22no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—22no—
1641C4⋊C4—24no—
1642C4⋊C4—22no—
1643C4⋊C4—24no—
1644C4⋊C4—22no—
1645C4⋊C4—24no—
1646C4⋊C4—22no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—22no—
1654C4⋊C4—24no—
1655C4⋊C4—22no—
1656C4⋊C4—24no—
1657C4⋊C4—22no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—28no—
1679C4⋊C4—28no—
1680C4⋊C4—28no—
1681C4⋊C4—24no—
1682C4⋊C4—28no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—28no—
1686C4⋊C4—44no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—44no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—44no—
1695C4⋊C4—42no—
1696C4⋊C4—44no—
1697C4⋊C4—44no—
1698C4⋊C4—44no—
1699C4⋊C4—44no—
1700C4⋊C4—44no—
1701C4⋊C4C22×D414yes—
1702C4⋊C4C22×D414yes—
1703C4⋊C4C22×D414yes—
1704C4⋊C4C22×D414yes—
1705C4⋊C4C22×D414yes—
1706C4⋊C4C22×D414yes—
1707C4⋊C4C22×D414yes—
1708C4⋊C4C22×D414yes—
1709C4⋊C4C22×D414yes—
1710C4⋊C4C22×D414yes—
1711C4⋊C4C2×#41116yes—
1712C22⋊C4—24no—
1713C22⋊C4—24no—
1714C22⋊C4—24no—
1715C22⋊C4—24no—
1716C22⋊C4—24no—
1717C22⋊C4—24no—
1718C22⋊C4—24no—
1719C22⋊C4—24no—
1720C22⋊C4—24no—
1721C22⋊C4—24no—
1722C22⋊C4—24no—
1723C22⋊C4—24no—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—24no—
1727C22⋊C4—24no—
1728C22⋊C4—24no—
1729C22⋊C4—24no—
1730C22⋊C4—24no—
1731C22⋊C4—24no—
1732C22⋊C4—24no—
1733C22⋊C4—24no—
1734C22⋊C4—24no—
1735C22⋊C4—24no—
1736C22⋊C4—24no—
1737C22⋊C4—24no—
1738C22⋊C4—24no—
1739C22⋊C4—24no—
1740C22⋊C4—24no—
1741C22⋊C4—24no—
1742C22⋊C4—28no—
1743C22⋊C4—28no—
1744C22⋊C4—28no—
1745C22⋊C4—28no—
1746C22⋊C4—24no—
1747C22⋊C4—28no—
1748C22⋊C4—24no—
1749C22⋊C4—28no—
1750C22⋊C4—28no—
1751C22⋊C4—44no—
1752C22⋊C4—44no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
1755C22⋊C4—44no—
1756C22⋊C4—44no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—44no—
1763C22⋊C4—44no—
1764C22⋊C4—44no—
1765C22⋊C4—44no—
1766C22⋊C4—44no—
1767C22⋊C4—44no—
1768C22⋊C4—44no—
1769C22⋊C4—44no—
1770C22⋊C4—44no—
1771C22⋊C4C22×D414yes—
1772C22⋊C4C22×D414yes—
1773C22⋊C4C22×D414yes—
1774C22⋊C4C22×D414yes—
1775C22⋊C4C22×D414yes—
1776C22⋊C4C22×D414yes—
1777C22⋊C4C22×D414yes—
1778C22⋊C4C22×D414yes—
1779C22⋊C4C22×D414yes—
1780C22⋊C4C22×D414yes—
1781C42—24no—
1782C42—24no—
1783C42—24no—
1784C42—24no—
1785C42—24no—
1786C42—24no—
1787C42—24no—
1788C42—24no—
1789C42—24no—
1790C42—24no—
1791C42—24no—
1792C42—24no—
1793C42—24no—
1794C42—24no—
1795C42—24no—
1796C42—24no—
1797C42—24no—
1798C42—24no—
1799C42—22no—
1800C42—22no—
1801C42—24no—
1802C42—22no—
1803C42—22no—
1804C42—24no—
1805C42—22no—
1806C42—22no—
1807C42—22no—
1808C42—24no—
1809C42—42no—
1810C42—42no—
1811C42—42no—
1812C42—42no—
1813C42—42no—
1814C42—42no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42C22×D414yes—
1820C42C22×D414yes—
1821C42C22×D414yes—
1822C42C22×D414yes—
1823C42C22×D414yes—
1824C42C22×D414yes—
1825C42C2×#4114yes—
1826C23—21no—
1827C23—21no—
1828C23—21no—
1829C23—22no—
1830C23—22no—
1831C23—21no—
1832C23—21no—
1833C23—21no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—24no—
1845C23—24no—
1846C23—24no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—24no—
1851C23—24no—
1852C23—24no—
1853C23C23×D412yes—
1854C23C23×D412yes—
1855C23C23×D412yes—
1856C23C2611yescharacteristic
1857Q8—28no—
1858Q8—28no—
1859Q8—44no—
1860Q8—48no—
1861Q8—48no—
1862Q8—48no—
1863Q8—44no—
1864Q8—44no—
1865Q8—44no—
1866Q8—84no—
1867Q8—84no—
1868D4—44no—
1869D4—44no—
1870D4—44no—
1871D4—48no—
1872D4—48no—
1873D4—48no—
1874D4—48no—
1875D4—44no—
1876D4—44no—
1877D4—44no—
1878D4—88no—
1879D4—84no—
1880D4—84no—
1881D4—84no—
1882D4—84no—
1883D4—84no—
1884D4—84no—
1885D4—84no—
1886D4—88no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—28no—
1910C2×C4—28no—
1911C2×C4—28no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—24no—
1939C2×C4—24no—
1940C2×C4—24no—
1941C2×C4—22no—
1942C2×C4—24no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—24no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—24no—
1953C2×C4—24no—
1954C2×C4—24no—
1955C2×C4—44no—
1956C2×C4—44no—
1957C2×C4—48no—
1958C2×C4—48no—
1959C2×C4—48no—
1960C2×C4—48no—
1961C2×C4—48no—
1962C2×C4—48no—
1963C2×C4—48no—
1964C2×C4—84no—
1965C2×C4—84no—
1966C2×C4—84no—
1967C2×C4—84no—
1968C2×C4—84no—
1969C2×C4—84no—
1970C2×C4—84no—
1971C2×C4—84no—
1972C2×C4—84no—
1973C2×C4—84no—
1974C2×C4C23×D412yes—
1975C2×C4C23×D412yes—
1976C2×C4C23×D412yes—
1977C2×C4C23×D412yes—
1978C2×C4C23×D412yes—
1979C2×C4C23×D412yes—
1980C2×C4C23×D412yes—
1981C2×C4C23×D412yes—
1982C2×C4C23×D412yes—
1983C2×C4C23×D412yes—
1984C2×C4C23×D412yes—
1985C2×C4C23×D412yes—
1986C2×C4C22×#4114yes—
1987C2×C4C22×#4114yes—
1988C2×C4C22×#4114yes—
1989C2×C4C22×#4112yes—
1990C2×C4#58514yes—
1991C2×C4#58512yes—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—22no—
1997C22—22no—
1998C22—22no—
1999C22—22no—
2000C22—22no—
2001C22—42no—
2002C22—42no—
2003C22—42no—
2004C22—42no—
2005C22—42no—
2006C22—42no—
2007C22—44no—
2008C22—44no—
2009C22—44no—
2010C22—42no—
2011C22—42no—
2012C22—42no—
2013C22—42no—
2014C22—42no—
2015C22—42no—
2016C22—44no—
2017C22—44no—
2018C22—44no—
2019C22—42no—
2020C22—42no—
2021C22—42no—
2022C22C24×D411yescharacteristic
2023C22C23×#4111yescharacteristic
2024C22C2×#58512yes—
2025C22C2×#58511yescharacteristic
2026C222−1+612yes—
2027C4—24no—
2028C4—24no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—22no—
2035C4—22no—
2036C4—22no—
2037C4—22no—
2038C4—22no—
2039C4—22no—
2040C4—24no—
2041C4—24no—
2042C4—42no—
2043C4—42no—
2044C4—42no—
2045C4—42no—
2046C4—42no—
2047C4—42no—
2048C4—42no—
2049C4—42no—
2050C4—42no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C4—42no—
2059C4D4×#4114yes—
2060C2—42no—
2061C2—42no—
2062C2—42no—
2063C2—82no—
2064C2—82no—
2065C2—82no—
2066C2C2×D4×#4111yescharacteristic
2067C2#6281211yescharacteristic
2068C2#6285911yescharacteristic
2069C2#6293912yes—
2070C2#6300512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3524C2semidirect
2. C2×#3516C2semidirect
3. #59187C2semidirect
4. #59176C2semidirect
5. #59175C2semidirect
6. #59171C2semidirect
7. #44766C2semidirect
8. #44764C2semidirect
9. #43927C2semidirect
10. #43924C2semidirect
11. #39741C2semidirect
12. #39612C2semidirect
13. #38958C2semidirect
14. #38952C2semidirect
15. #38948C2semidirect
16. #38948C2semidirect
17. #38946C2semidirect
18. #38946C2semidirect
19. #37869C2semidirect
20. #37865C2semidirect
21. #37683C2semidirect
22. #37675C2semidirect
23. #36538C2semidirect
24. #36508C2semidirect
25. #36184C2semidirect
26. #36122C2semidirect
27. #35678C2semidirect
28. #35669C2semidirect
29. #35622C2semidirect
30. #35535C2semidirect
31. #35343C2semidirect
32. #35318C2semidirect
33. #35276C2semidirect
34. #34972C2semidirect
35. #34910C2semidirect
36. #34209C2semidirect
37. #34208C2semidirect
38. #34151C2semidirect
39. C4×#536C2semidirect
397. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35242
C2×#35162
#591872
#591762
#591752
#591712
#447662
#447642
#439272
#439242
#397412
#396122
#389582
#389522
#389482
#389462
#378692
#378652
#376832
#376752
#365382
#365082
#361842
#361222
#356782
#356692
#356222
#355352
#353432
#353182
#352762
#349722
#349102
#342092
#342082
#341512
C4×#5362