Finite Group Databasebeta

← #7715522

Subgroups — #7715522

Order 512.

6396 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3552C211yesmaximal, characteristic, complemented
2C2×#3565C211yesmaximal, characteristic, complemented
3#51063C214yesmaximal, complemented
4#50686C214yesmaximal, complemented
5#47945C214yesmaximal, complemented
6#47943C214yesmaximal, complemented
7#47767C214yesmaximal, complemented
8#47766C214yesmaximal, complemented
9#47208C214yesmaximal, complemented
10#46821C214yesmaximal, complemented
11#39618C211yesmaximal, characteristic, complemented
12#39616C211yesmaximal, characteristic, complemented
13#39613C211yesmaximal, characteristic, complemented
14#39612C211yesmaximal, characteristic, complemented
15#39490C211yesmaximal, characteristic, complemented
16#39489C211yesmaximal, characteristic, complemented
17#39485C211yesmaximal, characteristic, complemented
18#39483C211yesmaximal, characteristic, complemented
19#37870C211yesmaximal, characteristic, complemented
20#37870C211yesmaximal, characteristic, complemented
21#37869C211yesmaximal, characteristic, complemented
22#37868C211yesmaximal, characteristic, complemented
23#37865C211yesmaximal, characteristic, complemented
24#37864C211yesmaximal, characteristic, complemented
25#37863C211yesmaximal, characteristic, complemented
26#37862C211yesmaximal, characteristic, complemented
27#37632C211yesmaximal, characteristic, complemented
28#37545C211yesmaximal, characteristic, complemented
29#37423C211yesmaximal, characteristic, complemented
30#37423C211yesmaximal, characteristic, complemented
31#37303C211yesmaximal, characteristic, complemented
32#37303C211yesmaximal, characteristic, complemented
33#35343C211yesmaximal, characteristic, complemented
34#35331C211yesmaximal, characteristic, complemented
35#35330C211yesmaximal, characteristic, complemented
36#35281C211yesmaximal, characteristic, complemented
37#35277C211yesmaximal, characteristic, complemented
38#35275C211yesmaximal, characteristic, complemented
39#34081C211yesmaximal, characteristic, complemented
40#3565—216no—
41#3552—216no—
42C2×#563C2212yes—
43C2×#563C2212yes—
44C2×#563C2212yes—
45C2×#562C2212yes—
46C2×#557C2211yescharacteristic
47C2×#557C2211yescharacteristic
48C2×#556C2211yescharacteristic
49C2×#556C2212yes—
50C2×#556C2211yescharacteristic
51C2×#555C2211yescharacteristic
52C2×#554C2211yescharacteristic
53C2×#554C2211yescharacteristic
54C2×#554C2211yescharacteristic
55C2×#553C2211yescharacteristic
56C2×#553C2211yescharacteristic
57C2×#553C2211yescharacteristic
58C2×#553C2211yescharacteristic
59C2×#552C2211yescharacteristic
60C2×#552C2212yes—
61C2×#552C2211yescharacteristic
62C2×D4×Q8C2212yes—
63C2×D4×Q8C2211yescharacteristic
64C2×#548C2212yes—
65C2×#547C2211yescharacteristic
66C2×#544C2211yescharacteristic
67C2×#544C2211yescharacteristic
68C2×#544C2211yescharacteristic
69C2×#544C2211yescharacteristic
70C2×#542C2211yescharacteristic
71C2×#542C2211yescharacteristic
72C2×#542C2212yes—
73C2×#542C2212yes—
74C2×#542C2211yescharacteristic
75C2×#542C2211yescharacteristic
76C2×#541C2212yes—
77C2×#541C2212yes—
78C2×#539C2212yes—
79C2×#539C2212yes—
80C2×#539C2212yes—
81C2×#536C2212yes—
82C2×#533C2211yescharacteristic
83C22×C4⋊Q8C2211yescharacteristic
84C2×#529C2211yescharacteristic
85C2×#529C2211yescharacteristic
86C2×#529C2211yescharacteristic
87#2868C2211yescharacteristic
88#2868C2211yescharacteristic
89#2868C2211yescharacteristic
90#2862C2211yescharacteristic
91#2862C2211yescharacteristic
92#2862C2211yescharacteristic
93#2861C2211yescharacteristic
94#2861C2211yescharacteristic
95#2859C2211yescharacteristic
96#2859C2211yescharacteristic
97#2859C2211yescharacteristic
98#2858C2211yescharacteristic
99#2857C2211yescharacteristic
100#2856C2211yescharacteristic
101#2850C2211yescharacteristic
102#2850C2211yescharacteristic
103#2821C2214yes—
104#2814C2214yes—
105#2734C2214yes—
106#2729C2214yes—
107#2727C2214yes—
108#2726C2214yes—
109#2725C2214yes—
110#2723C2214yes—
111#2722C2214yes—
112#2721C2214yes—
113#2721C2214yes—
114#2721C2214yes—
115#2720C2214yes—
116#2720C2214yes—
117#2720C2214yes—
118#2719C2214yes—
119#2718C2214yes—
120#2717C2214yes—
121#2716C2214yes—
122#2716C2214yes—
123#2706C2214yes—
124#2704C2214yes—
125#2701C2214yes—
126#2700C2214yes—
127#2700C2214yes—
128#2698C2214yes—
129#2695C2214yes—
130#2695C2214yes—
131#2692C2214yes—
132#2692C2214yes—
133#2690C2214yes—
134#2690C2214yes—
135#2689C2214yes—
136#2689C2214yes—
137#2687C2214yes—
138#2687C2214yes—
139#2686C2214yes—
140#2686C2214yes—
141#2682C2214yes—
142#2680C2214yes—
143#2680C2214yes—
144#2680C2214yes—
145#2677C2214yes—
146#2677C2214yes—
147#2674C2214yes—
148#2674C2214yes—
149#2674C2214yes—
150#2674C2214yes—
151#2672C2214yes—
152#2671C2214yes—
153#2660C2211yescharacteristic
154#2660C2211yescharacteristic
155#2660C2211yescharacteristic
156#2660C2211yescharacteristic
157#2660C2211yescharacteristic
158#2660C2211yescharacteristic
159#2660C2211yescharacteristic
160#2660C2211yescharacteristic
161#2660C2211yescharacteristic
162#2660C2211yescharacteristic
163#2660C2211yescharacteristic
164#2660C2211yescharacteristic
165#2640C2211yescharacteristic
166#2640C2211yescharacteristic
167#2640C2211yescharacteristic
168#2640C2211yescharacteristic
169#2638C2214yes—
170#2637C2214yes—
171#2628C2214yes—
172#2621C2211yescharacteristic
173#2621C2211yescharacteristic
174#2620C2211yescharacteristic
175#2620C2211yescharacteristic
176#2620C2211yescharacteristic
177#2620C2211yescharacteristic
178#2619C2211yescharacteristic
179#2619C2211yescharacteristic
180#2614C2214yes—
181#2602C2214yes—
182#2602C2214yes—
183#2601C2214yes—
184#2601C2214yes—
185#2599C2214yes—
186#2568C2211yescharacteristic
187#2568C2211yescharacteristic
188#2567C2211yescharacteristic
189#2567C2211yescharacteristic
190#2567C2211yescharacteristic
191#2567C2211yescharacteristic
192#2567C2214yes—
193#2566C2211yescharacteristic
194#2566C2211yescharacteristic
195#2566C2211yescharacteristic
196#2566C2211yescharacteristic
197#2566C2211yescharacteristic
198#2566C2211yescharacteristic
199#2565C2211yescharacteristic
200#2565C2211yescharacteristic
201#2565C2211yescharacteristic
202#2565C2211yescharacteristic
203#2565C2211yescharacteristic
204#2565C2211yescharacteristic
205#2563C2211yescharacteristic
206#2563C2211yescharacteristic
207#2563C2211yescharacteristic
208#2563C2211yescharacteristic
209#2560C2214yes—
210#2560C2214yes—
211#2557C2214yes—
212#2557C2214yes—
213#2552C2214yes—
214#2551C2214yes—
215#2550C2214yes—
216#2550C2214yes—
217#2549C2214yes—
218#2549C2214yes—
219#2546C2214yes—
220#2542C2211yescharacteristic
221#2542C2211yescharacteristic
222#2512C2214yes—
223#2504C2211yescharacteristic
224#2504C2211yescharacteristic
225#2503C2211yescharacteristic
226#2503C2211yescharacteristic
227#2503C2211yescharacteristic
228#2503C2211yescharacteristic
229#2502C2214yes—
230#2502C2211yescharacteristic
231#2502C2211yescharacteristic
232#2501C2211yescharacteristic
233#2501C2211yescharacteristic
234#2501C2211yescharacteristic
235#2501C2211yescharacteristic
236#2500C2211yescharacteristic
237#2500C2211yescharacteristic
238#2500C2211yescharacteristic
239#2500C2211yescharacteristic
240#2500C2211yescharacteristic
241#2500C2211yescharacteristic
242#2499C2211yescharacteristic
243#2499C2211yescharacteristic
244#2499C2211yescharacteristic
245#2499C2211yescharacteristic
246#2499C2211yescharacteristic
247#2499C2211yescharacteristic
248#2491C2214yes—
249#2486C2214yes—
250#2479C2214yes—
251#2478C2214yes—
252#2473C2214yes—
253#2470C2214yes—
254#2469C2214yes—
255#2469C2214yes—
256#2468C2214yes—
257#2468C2214yes—
258#2466C2214yes—
259#2465C2214yes—
260#2462C2214yes—
261#2462C2214yes—
262#2462C2214yes—
263#2461C2214yes—
264#2455C2214yes—
265#2455C2214yes—
266#2453C2214yes—
267#2452C2214yes—
268#2449C2214yes—
269#2447C2214yes—
270#2443C2214yes—
271#2441C2214yes—
272#2440C2214yes—
273#2440C2214yes—
274#2438C2214yes—
275#2434C2214yes—
276#2434C2214yes—
277#2430C2214yes—
278#2429C2214yes—
279#2425C2214yes—
280#2422C2214yes—
281#2422C2214yes—
282#2419C2214yes—
283#2417C2214yes—
284#2413C2214yes—
285#2409C2214yes—
286#2406C2214yes—
287#2337C2212yes—
288#2336C2212yes—
289#2335C2212yes—
290#2335C2212yes—
291#2334C2212yes—
292#2334C2212yes—
293#2333C2212yes—
294#2332C2212yes—
295#2328C2211yescharacteristic
296#2328C2211yescharacteristic
297#2327C2211yescharacteristic
298#2327C2211yescharacteristic
299#2326C2211yescharacteristic
300#2326C2211yescharacteristic
301#2326C2211yescharacteristic
302#2326C2211yescharacteristic
303#2317C2211yescharacteristic
304#2317C2211yescharacteristic
305#2317C2211yescharacteristic
306#2317C2211yescharacteristic
307#2317C2211yescharacteristic
308#2317C2211yescharacteristic
309#2317C2211yescharacteristic
310#2317C2211yescharacteristic
311C4×C4⋊Q8C2211yescharacteristic
312C4×#127C2211yescharacteristic
313C4×#124C2211yescharacteristic
314C4×#124C2211yescharacteristic
315#2298C2211yescharacteristic
316#2298C2211yescharacteristic
317#2295C2211yescharacteristic
318#2295C2211yescharacteristic
319#2293C2211yescharacteristic
320#2293C2211yescharacteristic
321#2290C2211yescharacteristic
322#2290C2211yescharacteristic
323#2290C2211yescharacteristic
324#2290C2211yescharacteristic
325#2285C2211yescharacteristic
326#2285C2211yescharacteristic
327C2×#384C2211yescharacteristic
328#2283C2211yescharacteristic
329C2×#382C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C4×#117C2211yescharacteristic
332C4×#117C2211yescharacteristic
333C22×#41C2312yes—
334C23×Q8C2312yes—
335C23×Q8C2312yes—
336#563—216no—
337#563—216no—
338#563—216no—
339#562—216no—
340#557—28no—
341#557—28no—
342#556—216no—
343#556—28no—
344#556—28no—
345#555—28no—
346#554—28no—
347#554—28no—
348#554—28no—
349#553—28no—
350#553—28no—
351#553—28no—
352#553—28no—
353#552—216no—
354#552—28no—
355#552—28no—
356D4×Q8—216no—
357D4×Q8—28no—
358#548—216no—
359#547—28no—
360#544—28no—
361#544—28no—
362#544—28no—
363#544—28no—
364#542—216no—
365#542—216no—
366#542—28no—
367#542—28no—
368#542—28no—
369#542—28no—
370#541—216no—
371#541—216no—
372#539—216no—
373#539—216no—
374#539—216no—
375#536—216no—
376#533—28no—
377C2×C4⋊Q8—28no—
378C2×C4⋊Q8C2311yescharacteristic
379C2×C4⋊Q8C2311yescharacteristic
380C2×C4⋊Q8C2311yescharacteristic
381C2×C4⋊Q8C2311yescharacteristic
382C2×C4⋊Q8C2311yescharacteristic
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2311yescharacteristic
387C2×C4⋊Q8C2311yescharacteristic
388C2×C4⋊Q8C2311yescharacteristic
389C2×C4⋊Q8C2311yescharacteristic
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2314yes—
398C2×C4⋊Q8C2314yes—
399C2×C4⋊Q8C2314yes—
400C2×#127C2311yescharacteristic
401#529—28no—
402#529—28no—
403#529D4116yescomplemented
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#126C2312yes—
418C2×#126C2312yes—
419C2×#126C2312yes—
420C2×#126C2311yescharacteristic
421C2×#126C2311yescharacteristic
422C2×#125C2311yescharacteristic
423C2×#125C2311yescharacteristic
424C2×#125C2311yescharacteristic
425C2×#125C2311yescharacteristic
426C2×#125C2311yescharacteristic
427C2×#125C2311yescharacteristic
428C2×#125C2311yescharacteristic
429C2×#125C2311yescharacteristic
430C2×#125C2312yes—
431C2×#125C2312yes—
432C2×#125C2312yes—
433C2×#125C2312yes—
434C2×#125C2312yes—
435C2×#125C2312yes—
436C2×#125C2312yes—
437C2×#125C2312yes—
438C2×#125C2312yes—
439C2×#125C2312yes—
440C2×#125C2312yes—
441C2×#125C2312yes—
442C2×#125C2311yescharacteristic
443C2×#124C2311yescharacteristic
444C2×#124C2311yescharacteristic
445C2×#124C2311yescharacteristic
446C2×#124C2311yescharacteristic
447C2×#124C2312yes—
448C2×#124C2312yes—
449C2×#124C2312yes—
450C2×#124C2312yes—
451C2×#124C2312yes—
452C2×#124C2312yes—
453C2×#124C2312yes—
454C2×#124C2312yes—
455C2×#124C2311yescharacteristic
456C2×#123C2312yes—
457C2×#123C2312yes—
458C2×#123C2312yes—
459C2×#123C2312yes—
460C2×#123C2312yes—
461C2×#123C2312yes—
462C2×#123C2312yes—
463C2×#123C2312yes—
464C2×#123C2312yes—
465C2×#123C2312yes—
466C2×#123C2312yes—
467C2×#123C2312yes—
468C2×#123C2312yes—
469C2×#123C2312yes—
470C2×#123C2314yes—
471C2×#123C2314yes—
472C2×#123C2314yes—
473C2×#123C2314yes—
474C2×#123C2311yescharacteristic
475C2×#123C2311yescharacteristic
476C2×C22⋊Q8C2312yes—
477C2×C22⋊Q8C2312yes—
478C2×C22⋊Q8C2311yescharacteristic
479C2×C22⋊Q8C2311yescharacteristic
480C2×C22⋊Q8C2311yescharacteristic
481C2×C22⋊Q8C2311yescharacteristic
482C2×C22⋊Q8C2311yescharacteristic
483C2×C22⋊Q8C2311yescharacteristic
484C2×C22⋊Q8C2312yes—
485C2×C22⋊Q8C2312yes—
486C2×C22⋊Q8C2312yes—
487C2×C22⋊Q8C2312yes—
488C2×C22⋊Q8C2312yes—
489C2×C22⋊Q8C2312yes—
490C2×C22⋊Q8C2312yes—
491C2×C22⋊Q8C2312yes—
492C2×C22⋊Q8C2312yes—
493C2×C22⋊Q8C2312yes—
494C2×C22⋊Q8C2312yes—
495C2×C22⋊Q8C2312yes—
496C2×C22⋊Q8C2312yes—
497C2×C22⋊Q8C2312yes—
498C2×C22⋊Q8C2312yes—
499C2×C22⋊Q8C2312yes—
500C2×C22⋊Q8C2312yes—
501C2×C22⋊Q8C2312yes—
502C2×C22⋊Q8C2312yes—
503C2×C22⋊Q8C2312yes—
504C2×C22⋊Q8C2312yes—
505C2×C22⋊Q8C2312yes—
506C2×C22⋊Q8C2312yes—
507C2×C22⋊Q8C2314yes—
508C2×C22⋊Q8C2314yes—
509C2×C22⋊Q8C2311yescharacteristic
510C2×#121C2311yescharacteristic
511C2×#121C2311yescharacteristic
512C2×#121C2311yescharacteristic
513C2×#121C2311yescharacteristic
514C2×#121C2311yescharacteristic
515C2×#121C2311yescharacteristic
516C2×#121C2312yes—
517C2×#121C2312yes—
518C2×#121C2312yes—
519C2×#121C2312yes—
520C2×#121C2312yes—
521C2×#121C2314yes—
522C2×#121C2311yescharacteristic
523C2×C4×Q8C2311yescharacteristic
524C2×C4×Q8C2311yescharacteristic
525C2×C4×Q8C2311yescharacteristic
526C2×C4×Q8C2311yescharacteristic
527C2×C4×Q8C2311yescharacteristic
528C2×C4×Q8C2311yescharacteristic
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×D4C2311yescharacteristic
541C2×C4×D4C2311yescharacteristic
542C2×C4×D4C2312yes—
543C2×C4×D4C2312yes—
544C2×C4×D4C2312yes—
545C2×C4×D4C2312yes—
546C2×C4×D4C2312yes—
547C2×C4×D4C2312yes—
548C2×C4×D4C2312yes—
549C2×C4×D4C2312yes—
550C2×C4×D4C2314yes—
551C2×C4×D4C2311yescharacteristic
552C2×C4×D4C2311yescharacteristic
553C2×C4×D4C2311yescharacteristic
554C2×#117C2311yescharacteristic
555C2×#117C2311yescharacteristic
556C2×#117C2311yescharacteristic
557C2×#117C2311yescharacteristic
558C2×#117C2311yescharacteristic
559C2×#117C2311yescharacteristic
560C2×#117C2311yescharacteristic
561C2×#117C2311yescharacteristic
562C2×#117C2311yescharacteristic
563C2×#117C2311yescharacteristic
564C2×#117C2312yes—
565C2×#117C2312yes—
566C2×#117C2312yes—
567C2×#117C2312yes—
568C2×#117C2312yes—
569C2×#117C2311yescharacteristic
570C2×#117C2311yescharacteristic
571C22×C4⋊C4C2311yescharacteristic
572C22×C4⋊C4C2311yescharacteristic
573C22×C4⋊C4C2311yescharacteristic
574C22×C4⋊C4C2311yescharacteristic
575C22×C4⋊C4C2311yescharacteristic
576C22×C4⋊C4C2311yescharacteristic
577C22×C4⋊C4C2312yes—
578C22×C4⋊C4C2312yes—
579C22×C4⋊C4C2314yes—
580C22×C42C2311yescharacteristic
581C22×C42C2311yescharacteristic
582C22×C42C2311yescharacteristic
583#400C2314yes—
584#400C2314yes—
585#400C2314yes—
586#400C2314yes—
587#400C2314yes—
588#400C2314yes—
589#399C2314yes—
590#399C2314yes—
591#399C2314yes—
592#399C2314yes—
593#399C2314yes—
594#399C2314yes—
595#398C2314yes—
596#398C2314yes—
597#398C2314yes—
598#398C2314yes—
599#398C2314yes—
600#398C2314yes—
601#398C2314yes—
602#398C2314yes—
603#398C2314yes—
604#398C2314yes—
605#398C2314yes—
606#398C2314yes—
607#398C2314yes—
608#398C2314yes—
609#398C2314yes—
610#398C2314yes—
611#398C2314yes—
612#398C2314yes—
613#398C2314yes—
614#398C2314yes—
615#398C2314yes—
616#398C2314yes—
617#397C2314yes—
618#397C2314yes—
619#397C2314yes—
620#397C2314yes—
621#397C2314yes—
622#397C2314yes—
623#397C2314yes—
624#397C2314yes—
625#397C2314yes—
626#397C2314yes—
627#397C2314yes—
628#397C2314yes—
629#397C2314yes—
630#397C2314yes—
631#396C2314yes—
632#396C2314yes—
633#396C2314yes—
634#396C2314yes—
635#396C2314yes—
636#396C2314yes—
637#396C2314yes—
638#396C2314yes—
639#396C2314yes—
640#396C2314yes—
641#395C2314yes—
642#395C2314yes—
643#395C2314yes—
644#395C2314yes—
645#395C2314yes—
646#395C2314yes—
647#395C2314yes—
648#395C2314yes—
649#395C2314yes—
650#395C2314yes—
651#395C2314yes—
652#395C2314yes—
653#395C2314yes—
654#395C2314yes—
655#395C2314yes—
656#395C2314yes—
657#394C2314yes—
658#394C2314yes—
659#394C2314yes—
660#394C2314yes—
661#394C2314yes—
662#394C2314yes—
663#394C2314yes—
664#394C2314yes—
665#394C2314yes—
666#394C2314yes—
667#394C2314yes—
668#394C2314yes—
669#393C2314yes—
670#393C2314yes—
671#393C2314yes—
672#393C2314yes—
673#393C2314yes—
674#393C2314yes—
675#393C2314yes—
676#393C2314yes—
677#392C2314yes—
678#392C2314yes—
679#391C2314yes—
680#391C2314yes—
681#391C2311yescharacteristic
682#391C2311yescharacteristic
683#391C2311yescharacteristic
684#391C2311yescharacteristic
685#391C2311yescharacteristic
686#391C2311yescharacteristic
687#391C2311yescharacteristic
688#391C2311yescharacteristic
689#391C2311yescharacteristic
690#391C2311yescharacteristic
691#391C2311yescharacteristic
692#391C2311yescharacteristic
693#391C2314yes—
694#391C2314yes—
695#391C2314yes—
696#391C2312yes—
697#391C2312yes—
698#391C2314yes—
699#391C2314yes—
700#391C2314yes—
701#390C2314yes—
702#390C2314yes—
703#390C2311yescharacteristic
704#390C2311yescharacteristic
705#390C2314yes—
706#390C2311yescharacteristic
707#390C2311yescharacteristic
708#390C2311yescharacteristic
709#390C2311yescharacteristic
710#390C2311yescharacteristic
711#390C2311yescharacteristic
712#390C2311yescharacteristic
713#390C2311yescharacteristic
714#390C2311yescharacteristic
715#390C2311yescharacteristic
716#390C2312yes—
717#390C2312yes—
718#390C2314yes—
719#389C2314yes—
720#389C2314yes—
721#389C2314yes—
722#389C2314yes—
723#389C2314yes—
724#389C2314yes—
725#389C2314yes—
726#389C2314yes—
727#389C2314yes—
728#389C2314yes—
729#389C2314yes—
730#389C2314yes—
731#389C2314yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2314yes—
737#389C2314yes—
738#389C2314yes—
739#389C2314yes—
740#389C2314yes—
741#389C2314yes—
742#389C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#388C2314yes—
748#388C2314yes—
749#388C2314yes—
750#388C2314yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2314yes—
764#388C2314yes—
765#388C2314yes—
766#388C2314yes—
767#388C2314yes—
768#388C2314yes—
769#388C2314yes—
770#388C2314yes—
771#388C2314yes—
772#388C2314yes—
773#387C2314yes—
774#387C2314yes—
775#387C2314yes—
776#387C2314yes—
777#387C2314yes—
778#387C2314yes—
779#387C2314yes—
780#387C2314yes—
781#387C2314yes—
782#387C2314yes—
783#387C2312yes—
784#387C2312yes—
785#387C2312yes—
786#387C2312yes—
787#387C2312yes—
788#387C2312yes—
789#387C2312yes—
790#387C2312yes—
791#387C2312yes—
792#387C2312yes—
793#387C2312yes—
794#387C2312yes—
795#387C2314yes—
796#387C2314yes—
797#387C2314yes—
798#387C2314yes—
799#387C2314yes—
800#387C2314yes—
801#386C2314yes—
802#386C2314yes—
803#386C2314yes—
804#386C2314yes—
805#386C2312yes—
806#386C2312yes—
807#386C2312yes—
808#386C2312yes—
809#386C2314yes—
810#386C2314yes—
811#386C2314yes—
812#386C2314yes—
813#385C2314yes—
814#385C2314yes—
815#385C2314yes—
816#385C2314yes—
817#385C2314yes—
818#385C2314yes—
819#385C2314yes—
820#385C2314yes—
821#385C2314yes—
822#385C2314yes—
823#385C2314yes—
824#385C2314yes—
825#385C2314yes—
826#385C2314yes—
827#385C2314yes—
828#385C2314yes—
829#385C2314yes—
830#385C2314yes—
831#385C2312yes—
832#385C2312yes—
833#385C2312yes—
834#385C2312yes—
835#385C2314yes—
836#385C2314yes—
837#384C2311yescharacteristic
838#384C2311yescharacteristic
839#384C2311yescharacteristic
840#384C2311yescharacteristic
841#384C2311yescharacteristic
842#384C2311yescharacteristic
843#384C2311yescharacteristic
844#384C2311yescharacteristic
845#384C2311yescharacteristic
846#384C2311yescharacteristic
847#384C2311yescharacteristic
848#384C2311yescharacteristic
849#384C2311yescharacteristic
850#384C2314yes—
851#384C2314yes—
852#384C2311yescharacteristic
853#384C2311yescharacteristic
854#384C2311yescharacteristic
855#384C2311yescharacteristic
856#384C2311yescharacteristic
857#384C2314yes—
858#384C2314yes—
859#383C2312yes—
860#382C2311yescharacteristic
861#382C2311yescharacteristic
862#382C2311yescharacteristic
863#382C2311yescharacteristic
864#382C2311yescharacteristic
865#382C2311yescharacteristic
866#382C2311yescharacteristic
867#382C2311yescharacteristic
868#382C2311yescharacteristic
869#382C2311yescharacteristic
870#382C2311yescharacteristic
871#382C2311yescharacteristic
872#382C2311yescharacteristic
873#382C2311yescharacteristic
874#382C2311yescharacteristic
875#382C2311yescharacteristic
876#382C2311yescharacteristic
877#382C2311yescharacteristic
878#382C2312yes—
879#382C2314yes—
880#381C2312yes—
881#381C2314yes—
882#381C2314yes—
883#381C2314yes—
884#381C2314yes—
885#380C2314yes—
886#380C2314yes—
887#380C2314yes—
888#380C2314yes—
889#380C2312yes—
890#380C2314yes—
891#380C2314yes—
892#380C2314yes—
893C4×C4⋊C4C2312yes—
894C4×C4⋊C4C2312yes—
895C4×C4⋊C4C2314yes—
896C4×C4⋊C4C2311yescharacteristic
897C4×C4⋊C4C2311yescharacteristic
898C4×C4⋊C4C2311yescharacteristic
899C4×C4⋊C4C2311yescharacteristic
900C4×C4⋊C4C2311yescharacteristic
901C4×C4⋊C4C2311yescharacteristic
902C4×C4⋊C4C2312yes—
903C4×C4⋊C4C2312yes—
904C4×C4⋊C4C2312yes—
905C4×C4⋊C4C2312yes—
906C4×C4⋊C4C2314yes—
907C4×C4⋊C4C2314yes—
908C4×C22⋊C4C2314yes—
909C4×C22⋊C4C2314yes—
910C4×C22⋊C4C2312yes—
911C4×C22⋊C4C2312yes—
912C4×C22⋊C4C2312yes—
913C4×C22⋊C4C2312yes—
914C4×C22⋊C4C2312yes—
915C4×C22⋊C4C2312yes—
916C4×C22⋊C4C2311yescharacteristic
917C4×C22⋊C4C2311yescharacteristic
918C4×C22⋊C4C2311yescharacteristic
919C4×C22⋊C4C2311yescharacteristic
920C4×C22⋊C4C2311yescharacteristic
921C4×C22⋊C4C2311yescharacteristic
922#376C2311yescharacteristic
923#376C2311yescharacteristic
924#376C2311yescharacteristic
925#376C2311yescharacteristic
926#376C2311yescharacteristic
927#376C2311yescharacteristic
928C2×#95C2314yes—
929C43C2311yescharacteristic
930C43C2311yescharacteristic
931C43C2311yescharacteristic
932C43C2311yescharacteristic
933C2×#41—28no—
934C2×#41—84no—
935C22×Q8—28no—
936C22×Q8—28no—
937C22×Q8—84no—
938C22×Q8—84no—
939C22×Q8C2411yescharacteristic
940C22×Q8C2411yescharacteristic
941C22×Q8C2412yes—
942C22×Q8C2412yes—
943C22×Q8C2412yes—
944C22×Q8C2412yes—
945C22×Q8C2412yes—
946C22×Q8C2412yes—
947C22×Q8C2412yes—
948C22×Q8C2412yes—
949C22×Q8C2412yes—
950C22×Q8C2412yes—
951C22×Q8C2411yescharacteristic
952C22×D4C2411yescharacteristic
953C22×D4C2411yescharacteristic
954C22×D4C2412yes—
955C22×D4C2412yes—
956C22×D4C2412yes—
957C22×D4C2412yes—
958C22×D4C2414yes—
959C22×D4C2412yes—
960C22×D4C2412yes—
961C22×D4C2411yescharacteristic
962C22×D4C2411yescharacteristic
963C22×D4C2411yescharacteristic
964C23×C4C2411yescharacteristic
965C23×C4C2411yescharacteristic
966C23×C4C2411yescharacteristic
967C23×C4C2412yes—
968C23×C4C2412yes—
969C23×C4C2412yes—
970C23×C4C2412yes—
971C23×C4C2412yes—
972C23×C4C2412yes—
973C23×C4C2412yes—
974C23×C4C2412yes—
975C23×C4C2412yes—
976C23×C4C2412yes—
977C23×C4C2412yes—
978C23×C4C2412yes—
979C23×C4C2412yes—
980C23×C4C2412yes—
981C23×C4C2411yescharacteristic
982C23×C4C2411yescharacteristic
983C4⋊Q8—28no—
984C4⋊Q8—28no—
985C4⋊Q8—28no—
986C4⋊Q8—28no—
987C4⋊Q8—28no—
988C4⋊Q8—28no—
989C4⋊Q8—28no—
990C4⋊Q8—24no—
991C4⋊Q8—24no—
992C4⋊Q8—24no—
993C4⋊Q8—24no—
994C4⋊Q8—28no—
995C4⋊Q8—24no—
996C4⋊Q8—24no—
997C4⋊Q8—24no—
998C4⋊Q8—24no—
999C4⋊Q8—24no—
1000C4⋊Q8—24no—
1001C4⋊Q8—24no—
1002C4⋊Q8—84no—
1003C4⋊Q8—84no—
1004C4⋊Q8—84no—
1005#127—24no—
1006#126—28no—
1007#126—28no—
1008#126—28no—
1009#126—28no—
1010#126—28no—
1011#126—28no—
1012#126—28no—
1013#126—28no—
1014#126—28no—
1015#126—28no—
1016#126—28no—
1017#126—28no—
1018#126—28no—
1019#126—28no—
1020#126—28no—
1021#126—28no—
1022#126C2×D418yes—
1023#126C2×D418yes—
1024#125—28no—
1025#125—28no—
1026#125—28no—
1027#125—28no—
1028#125—28no—
1029#125—28no—
1030#125—28no—
1031#125—28no—
1032#125—28no—
1033#125—28no—
1034#125—28no—
1035#125—28no—
1036#125—24no—
1037#125—24no—
1038#125—24no—
1039#125—24no—
1040#125—24no—
1041#125—24no—
1042#125—24no—
1043#125—24no—
1044#125C2×D418yes—
1045#124—28no—
1046#124—28no—
1047#124—28no—
1048#124—28no—
1049#124—28no—
1050#124—28no—
1051#124—28no—
1052#124—28no—
1053#124—24no—
1054#124—24no—
1055#124—24no—
1056#124—24no—
1057#124C2×D418yes—
1058#123—28no—
1059#123—28no—
1060#123—28no—
1061#123—28no—
1062#123—28no—
1063#123—28no—
1064#123—28no—
1065#123—28no—
1066#123—28no—
1067#123—28no—
1068#123—28no—
1069#123—28no—
1070#123—28no—
1071#123—28no—
1072#123—84no—
1073#123—84no—
1074#123—84no—
1075#123—84no—
1076#123C2×D418yes—
1077#123C2×D418yes—
1078C22⋊Q8—28no—
1079C22⋊Q8—24no—
1080C22⋊Q8—24no—
1081C22⋊Q8—28no—
1082C22⋊Q8—28no—
1083C22⋊Q8—24no—
1084C22⋊Q8—24no—
1085C22⋊Q8—24no—
1086C22⋊Q8—24no—
1087C22⋊Q8—28no—
1088C22⋊Q8—28no—
1089C22⋊Q8—28no—
1090C22⋊Q8—28no—
1091C22⋊Q8—28no—
1092C22⋊Q8—28no—
1093C22⋊Q8—28no—
1094C22⋊Q8—28no—
1095C22⋊Q8—28no—
1096C22⋊Q8—28no—
1097C22⋊Q8—28no—
1098C22⋊Q8—28no—
1099C22⋊Q8—28no—
1100C22⋊Q8—28no—
1101C22⋊Q8—28no—
1102C22⋊Q8—28no—
1103C22⋊Q8—28no—
1104C22⋊Q8—28no—
1105C22⋊Q8—28no—
1106C22⋊Q8—28no—
1107C22⋊Q8—28no—
1108C22⋊Q8—28no—
1109C22⋊Q8—84no—
1110C22⋊Q8—84no—
1111C22⋊Q8C2×D418yes—
1112#121—28no—
1113#121—28no—
1114#121—28no—
1115#121—28no—
1116#121—28no—
1117#121—24no—
1118#121—24no—
1119#121—24no—
1120#121—24no—
1121#121—24no—
1122#121—24no—
1123#121—84no—
1124#121C2×D418yes—
1125C4×Q8—28no—
1126C4×Q8—28no—
1127C4×Q8—28no—
1128C4×Q8—28no—
1129C4×Q8—24no—
1130C4×Q8—24no—
1131C4×Q8—28no—
1132C4×Q8—28no—
1133C4×Q8—24no—
1134C4×Q8—24no—
1135C4×Q8—24no—
1136C4×Q8—24no—
1137C4×Q8C2×D418yes—
1138C4×D4—28no—
1139C4×D4—28no—
1140C4×D4—28no—
1141C4×D4—28no—
1142C4×D4—28no—
1143C4×D4—28no—
1144C4×D4—28no—
1145C4×D4—28no—
1146C4×D4—24no—
1147C4×D4—24no—
1148C4×D4—24no—
1149C4×D4—24no—
1150C4×D4—24no—
1151C4×D4—24no—
1152C4×D4—84no—
1153C4×D4C2×D418yes—
1154C4×D4C2×D418yes—
1155C4×D4C2×D418yes—
1156#117—24no—
1157#117—24no—
1158#117—24no—
1159#117—24no—
1160#117—24no—
1161#117—24no—
1162#117—28no—
1163#117—28no—
1164#117—28no—
1165#117—28no—
1166#117—28no—
1167#117—24no—
1168#117—24no—
1169#117—24no—
1170#117—24no—
1171#117C2×D418yes—
1172#117C2×D418yes—
1173C2×C4⋊C4—28no—
1174C2×C4⋊C4—24no—
1175C2×C4⋊C4—24no—
1176C2×C4⋊C4—24no—
1177C2×C4⋊C4—24no—
1178C2×C4⋊C4—24no—
1179C2×C4⋊C4—24no—
1180C2×C4⋊C4—28no—
1181C2×C4⋊C4—84no—
1182C2×C4⋊C4C2411yescharacteristic
1183C2×C4⋊C4C2411yescharacteristic
1184C2×C4⋊C4C2411yescharacteristic
1185C2×C4⋊C4C2411yescharacteristic
1186C2×C4⋊C4C2411yescharacteristic
1187C2×C4⋊C4C2411yescharacteristic
1188C2×C4⋊C4C2411yescharacteristic
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C4⋊C4C2411yescharacteristic
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2411yescharacteristic
1205C2×C4⋊C4C2411yescharacteristic
1206C2×C4⋊C4C2411yescharacteristic
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2414yes—
1243C2×C4⋊C4C2414yes—
1244C2×C4⋊C4C2414yes—
1245C2×C4⋊C4C2414yes—
1246C2×C4⋊C4C2414yes—
1247C2×C4⋊C4C2414yes—
1248C2×C4⋊C4C2414yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2414yes—
1252C2×C4⋊C4C2414yes—
1253C2×C4⋊C4C2414yes—
1254C2×C4⋊C4C2414yes—
1255C2×C4⋊C4C2414yes—
1256C2×C4⋊C4C2414yes—
1257C2×C4⋊C4C2414yes—
1258C2×C4⋊C4C2414yes—
1259C2×C4⋊C4C2414yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2414yes—
1264C2×C4⋊C4C2414yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2414yes—
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C22⋊C4C2412yes—
1278C2×C22⋊C4C2412yes—
1279C2×C22⋊C4C2412yes—
1280C2×C22⋊C4C2412yes—
1281C2×C22⋊C4C2412yes—
1282C2×C22⋊C4C2412yes—
1283C2×C22⋊C4C2412yes—
1284C2×C22⋊C4C2412yes—
1285C2×C22⋊C4C2412yes—
1286C2×C22⋊C4C2412yes—
1287C2×C22⋊C4C2412yes—
1288C2×C22⋊C4C2412yes—
1289C2×C22⋊C4C2412yes—
1290C2×C22⋊C4C2412yes—
1291C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1310C2×C22⋊C4C2414yes—
1311C2×C22⋊C4C2414yes—
1312C2×C22⋊C4C2414yes—
1313C2×C22⋊C4C2414yes—
1314C2×C22⋊C4C2414yes—
1315C2×C22⋊C4C2414yes—
1316C2×C22⋊C4C2414yes—
1317C2×C22⋊C4C2414yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2414yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2414yes—
1326C2×C22⋊C4C2414yes—
1327C2×C22⋊C4C2414yes—
1328C2×C22⋊C4C2414yes—
1329C2×C22⋊C4C2411yescharacteristic
1330C2×C22⋊C4C2411yescharacteristic
1331C2×C22⋊C4C2411yescharacteristic
1332C2×C22⋊C4C2411yescharacteristic
1333C2×C22⋊C4C2411yescharacteristic
1334C2×C22⋊C4C2411yescharacteristic
1335C2×C22⋊C4C2411yescharacteristic
1336C2×C22⋊C4C2411yescharacteristic
1337C2×C22⋊C4C2411yescharacteristic
1338C2×C22⋊C4C2411yescharacteristic
1339C2×C42—24no—
1340C2×C42—24no—
1341C2×C42C2×D418yes—
1342C2×C42C2412yes—
1343C2×C42C2412yes—
1344C2×C42C2412yes—
1345C2×C42C2412yes—
1346C2×C42C2412yes—
1347C2×C42C2412yes—
1348C2×C42C2412yes—
1349C2×C42C2412yes—
1350C2×C42C2412yes—
1351C2×C42C2411yescharacteristic
1352C2×C42C2411yescharacteristic
1353C2×C42C2411yescharacteristic
1354C2×C42C2411yescharacteristic
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2411yescharacteristic
1359C2×C42C2411yescharacteristic
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2411yescharacteristic
1371C2×C42C2411yescharacteristic
1372C2×C42C2411yescharacteristic
1373C2×C42C2411yescharacteristic
1374C2×C42C2411yescharacteristic
1375C2×C42C2411yescharacteristic
1376C2×C42C2411yescharacteristic
1377C2×C42C2411yescharacteristic
1378#95C2414yes—
1379#95C2414yes—
1380#95C2414yes—
1381#95C2414yes—
1382#95C2412yes—
1383#95C2412yes—
1384#95C2412yes—
1385#95C2412yes—
1386#95C2412yes—
1387#95C2412yes—
1388#95C2412yes—
1389#95C2412yes—
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2414yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2414yes—
1398#95C2414yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2414yes—
1404#95C2414yes—
1405#95C2414yes—
1406#95C2414yes—
1407#95C2414yes—
1408#95C2414yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2414yes—
1416#95C2414yes—
1417#95C2414yes—
1418#95C2414yes—
1419#95C2414yes—
1420#95C2414yes—
1421#95C2414yes—
1422#95C2414yes—
1423#95C2414yes—
1424#95C2414yes—
1425#95C2414yes—
1426#95C2414yes—
1427#95C2414yes—
1428#95C2414yes—
1429#95C2414yes—
1430#95C2414yes—
1431#95C2414yes—
1432C24C2512yes—
1433C24C2512yes—
1434C24C2511yescharacteristic
1435C24C2511yescharacteristic
1436C24C2511yescharacteristic
1437#41—816no—
1438C2×Q8—22no—
1439C2×Q8—22no—
1440C2×Q8—24no—
1441C2×Q8—24no—
1442C2×Q8—24no—
1443C2×Q8—24no—
1444C2×Q8—24no—
1445C2×Q8—24no—
1446C2×Q8—24no—
1447C2×Q8—24no—
1448C2×Q8—24no—
1449C2×Q8—24no—
1450C2×Q8—22no—
1451C2×Q8—22no—
1452C2×Q8—22no—
1453C2×Q8—22no—
1454C2×Q8—42no—
1455C2×Q8—44no—
1456C2×Q8—44no—
1457C2×Q8—44no—
1458C2×Q8—44no—
1459C2×Q8—44no—
1460C2×Q8—44no—
1461C2×Q8—44no—
1462C2×Q8—44no—
1463C2×Q8—44no—
1464C2×Q8—44no—
1465C2×Q8—816no—
1466C2×Q8—816no—
1467C2×Q8C22×D414yes—
1468C2×D4—24no—
1469C2×D4—24no—
1470C2×D4—24no—
1471C2×D4—24no—
1472C2×D4—24no—
1473C2×D4—24no—
1474C2×D4—22no—
1475C2×D4—22no—
1476C2×D4—22no—
1477C2×D4—22no—
1478C2×D4—22no—
1479C2×D4—22no—
1480C2×D4—28no—
1481C2×D4—42no—
1482C2×D4—42no—
1483C2×D4—44no—
1484C2×D4—42no—
1485C2×D4—44no—
1486C2×D4—44no—
1487C2×D4—44no—
1488C2×D4—44no—
1489C2×D4—44no—
1490C2×D4—44no—
1491C2×D4—44no—
1492C2×D4C22×D414yes—
1493C2×D4C22×D414yes—
1494C2×D4C22×D414yes—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—22no—
1501C22×C4—24no—
1502C22×C4—24no—
1503C22×C4—24no—
1504C22×C4—24no—
1505C22×C4—24no—
1506C22×C4—24no—
1507C22×C4—24no—
1508C22×C4—24no—
1509C22×C4—24no—
1510C22×C4—24no—
1511C22×C4—24no—
1512C22×C4—24no—
1513C22×C4—24no—
1514C22×C4—24no—
1515C22×C4—42no—
1516C22×C4—42no—
1517C22×C4—42no—
1518C22×C4—42no—
1519C22×C4—44no—
1520C22×C4—44no—
1521C22×C4—44no—
1522C22×C4—44no—
1523C22×C4—44no—
1524C22×C4—42no—
1525C22×C4—44no—
1526C22×C4—44no—
1527C22×C4—44no—
1528C22×C4—44no—
1529C22×C4—42no—
1530C22×C4—44no—
1531C22×C4—44no—
1532C22×C4—44no—
1533C22×C4C22×D414yes—
1534C22×C4C22×D414yes—
1535C22×C4C22×D414yes—
1536C22×C4C22×D414yes—
1537C22×C4C22×D414yes—
1538C22×C4C2512yes—
1539C22×C4C2512yes—
1540C22×C4C2512yes—
1541C22×C4C2512yes—
1542C22×C4C2512yes—
1543C22×C4C2512yes—
1544C22×C4C2512yes—
1545C22×C4C2512yes—
1546C22×C4C2512yes—
1547C22×C4C2512yes—
1548C22×C4C2512yes—
1549C22×C4C2512yes—
1550C22×C4C2512yes—
1551C22×C4C2512yes—
1552C22×C4C2512yes—
1553C22×C4C2512yes—
1554C22×C4C2512yes—
1555C22×C4C2512yes—
1556C22×C4C2512yes—
1557C22×C4C2512yes—
1558C22×C4C2511yescharacteristic
1559C22×C4C2511yescharacteristic
1560C22×C4C2511yescharacteristic
1561C22×C4C2511yescharacteristic
1562C22×C4C2511yescharacteristic
1563C22×C4C2511yescharacteristic
1564C22×C4C2511yescharacteristic
1565C22×C4C2511yescharacteristic
1566C22×C4C2511yescharacteristic
1567C22×C4C2511yescharacteristic
1568C22×C4C2511yescharacteristic
1569C22×C4C2512yes—
1570C22×C4C2512yes—
1571C22×C4C2511yescharacteristic
1572C4⋊C4—22no—
1573C4⋊C4—22no—
1574C4⋊C4—22no—
1575C4⋊C4—22no—
1576C4⋊C4—22no—
1577C4⋊C4—22no—
1578C4⋊C4—22no—
1579C4⋊C4—22no—
1580C4⋊C4—22no—
1581C4⋊C4—24no—
1582C4⋊C4—24no—
1583C4⋊C4—24no—
1584C4⋊C4—24no—
1585C4⋊C4—24no—
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—24no—
1594C4⋊C4—22no—
1595C4⋊C4—22no—
1596C4⋊C4—22no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—24no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4—24no—
1605C4⋊C4—24no—
1606C4⋊C4—24no—
1607C4⋊C4—24no—
1608C4⋊C4—24no—
1609C4⋊C4—24no—
1610C4⋊C4—24no—
1611C4⋊C4—24no—
1612C4⋊C4—24no—
1613C4⋊C4—24no—
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—24no—
1619C4⋊C4—24no—
1620C4⋊C4—24no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—24no—
1624C4⋊C4—24no—
1625C4⋊C4—24no—
1626C4⋊C4—24no—
1627C4⋊C4—24no—
1628C4⋊C4—24no—
1629C4⋊C4—24no—
1630C4⋊C4—24no—
1631C4⋊C4—24no—
1632C4⋊C4—28no—
1633C4⋊C4—44no—
1634C4⋊C4—44no—
1635C4⋊C4—44no—
1636C4⋊C4—44no—
1637C4⋊C4—44no—
1638C4⋊C4—42no—
1639C4⋊C4—42no—
1640C4⋊C4—42no—
1641C4⋊C4—42no—
1642C4⋊C4—44no—
1643C4⋊C4—44no—
1644C4⋊C4—44no—
1645C4⋊C4—44no—
1646C4⋊C4—42no—
1647C4⋊C4—42no—
1648C4⋊C4—44no—
1649C4⋊C4—44no—
1650C4⋊C4—44no—
1651C4⋊C4—44no—
1652C4⋊C4—44no—
1653C4⋊C4—44no—
1654C4⋊C4—44no—
1655C4⋊C4—44no—
1656C4⋊C4—44no—
1657C4⋊C4C22×D414yes—
1658C4⋊C4C22×D414yes—
1659C4⋊C4C22×D414yes—
1660C4⋊C4C22×D414yes—
1661C4⋊C4C22×D414yes—
1662C4⋊C4C22×D414yes—
1663C4⋊C4C22×D414yes—
1664C4⋊C4C22×D414yes—
1665C4⋊C4C22×D414yes—
1666C4⋊C4C22×D414yes—
1667C22⋊C4—24no—
1668C22⋊C4—24no—
1669C22⋊C4—24no—
1670C22⋊C4—24no—
1671C22⋊C4—24no—
1672C22⋊C4—24no—
1673C22⋊C4—24no—
1674C22⋊C4—24no—
1675C22⋊C4—24no—
1676C22⋊C4—24no—
1677C22⋊C4—24no—
1678C22⋊C4—24no—
1679C22⋊C4—24no—
1680C22⋊C4—24no—
1681C22⋊C4—24no—
1682C22⋊C4—24no—
1683C22⋊C4—24no—
1684C22⋊C4—24no—
1685C22⋊C4—24no—
1686C22⋊C4—24no—
1687C22⋊C4—24no—
1688C22⋊C4—24no—
1689C22⋊C4—24no—
1690C22⋊C4—24no—
1691C22⋊C4—24no—
1692C22⋊C4—24no—
1693C22⋊C4—24no—
1694C22⋊C4—24no—
1695C22⋊C4—24no—
1696C22⋊C4—24no—
1697C22⋊C4—24no—
1698C22⋊C4—24no—
1699C22⋊C4—28no—
1700C22⋊C4—28no—
1701C22⋊C4—42no—
1702C22⋊C4—42no—
1703C22⋊C4—44no—
1704C22⋊C4—44no—
1705C22⋊C4—44no—
1706C22⋊C4—44no—
1707C22⋊C4—44no—
1708C22⋊C4—44no—
1709C22⋊C4—44no—
1710C22⋊C4—44no—
1711C22⋊C4—44no—
1712C22⋊C4—44no—
1713C22⋊C4—44no—
1714C22⋊C4—42no—
1715C22⋊C4—42no—
1716C22⋊C4—42no—
1717C22⋊C4—44no—
1718C22⋊C4—42no—
1719C22⋊C4C22×D414yes—
1720C22⋊C4C22×D414yes—
1721C22⋊C4C22×D414yes—
1722C22⋊C4C22×D414yes—
1723C22⋊C4C22×D414yes—
1724C22⋊C4C22×D414yes—
1725C22⋊C4C22×D414yes—
1726C22⋊C4C22×D414yes—
1727C22⋊C4C22×D414yes—
1728C22⋊C4C22×D414yes—
1729C42—24no—
1730C42—24no—
1731C42—24no—
1732C42—24no—
1733C42—24no—
1734C42—24no—
1735C42—24no—
1736C42—24no—
1737C42—24no—
1738C42—24no—
1739C42—24no—
1740C42—24no—
1741C42—24no—
1742C42—24no—
1743C42—22no—
1744C42—22no—
1745C42—22no—
1746C42—22no—
1747C42—22no—
1748C42—22no—
1749C42—42no—
1750C42—42no—
1751C42—42no—
1752C42—42no—
1753C42—42no—
1754C42—42no—
1755C42—42no—
1756C42—42no—
1757C42C22×D414yes—
1758C42C22×D414yes—
1759C42C22×D414yes—
1760C42C22×D414yes—
1761C42C22×D414yes—
1762C42C22×D414yes—
1763C422−1+414yes—
1764C422−1+414yes—
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—21no—
1771C23—22no—
1772C23—22no—
1773C23—22no—
1774C23—22no—
1775C23—22no—
1776C23—22no—
1777C23—22no—
1778C23—22no—
1779C23—22no—
1780C23—22no—
1781C23—22no—
1782C23—22no—
1783C23—24no—
1784C23—24no—
1785C23—24no—
1786C23—24no—
1787C23C23×D412yes—
1788C23C23×D412yes—
1789C23C23×D412yes—
1790C23C2611yescharacteristic
1791Q8—44no—
1792Q8—48no—
1793Q8—48no—
1794Q8—44no—
1795Q8—44no—
1796Q8—84no—
1797Q8—84no—
1798Q8—84no—
1799Q8—84no—
1800Q8—84no—
1801Q8—84no—
1802Q8—84no—
1803Q8—84no—
1804D4—44no—
1805D4—44no—
1806D4—44no—
1807D4—48no—
1808D4—44no—
1809D4—44no—
1810D4—88no—
1811D4—84no—
1812D4—84no—
1813D4—84no—
1814D4—84no—
1815D4—84no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—28no—
1835C2×C4—28no—
1836C2×C4—28no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—24no—
1868C2×C4—24no—
1869C2×C4—24no—
1870C2×C4—24no—
1871C2×C4—24no—
1872C2×C4—24no—
1873C2×C4—24no—
1874C2×C4—24no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—24no—
1882C2×C4—24no—
1883C2×C4—24no—
1884C2×C4—24no—
1885C2×C4—44no—
1886C2×C4—44no—
1887C2×C4—48no—
1888C2×C4—48no—
1889C2×C4—84no—
1890C2×C4—84no—
1891C2×C4—84no—
1892C2×C4—84no—
1893C2×C4—84no—
1894C2×C4—84no—
1895C2×C4—84no—
1896C2×C4—84no—
1897C2×C4—84no—
1898C2×C4—84no—
1899C2×C4—84no—
1900C2×C4—84no—
1901C2×C4C23×D412yes—
1902C2×C4C23×D412yes—
1903C2×C4C23×D412yes—
1904C2×C4C23×D412yes—
1905C2×C4C23×D412yes—
1906C2×C4C23×D412yes—
1907C2×C4C23×D412yes—
1908C2×C4C23×D412yes—
1909C2×C4C23×D412yes—
1910C2×C4C23×D412yes—
1911C2×C4C23×D412yes—
1912C2×C4C23×D412yes—
1913C2×C4C2×2−1+414yes—
1914C2×C4C2×2−1+414yes—
1915C2×C4C2×2−1+412yes—
1916C2×C4C2×2−1+412yes—
1917C22—22no—
1918C22—22no—
1919C22—22no—
1920C22—22no—
1921C22—22no—
1922C22—22no—
1923C22—22no—
1924C22—22no—
1925C22—22no—
1926C22—42no—
1927C22—42no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—42no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—44no—
1939C22—44no—
1940C22—44no—
1941C22—44no—
1942C22C24×D411yescharacteristic
1943C22C22×2−1+411yescharacteristic
1944C22C22×2−1+411yescharacteristic
1945C22H(7,𝔽2)12yes—
1946C222−1+612yes—
1947C4—22no—
1948C4—22no—
1949C4—22no—
1950C4—22no—
1951C4—22no—
1952C4—22no—
1953C4—22no—
1954C4—22no—
1955C4—22no—
1956C4—22no—
1957C4—22no—
1958C4—24no—
1959C4—24no—
1960C4—42no—
1961C4—42no—
1962C4—42no—
1963C4—42no—
1964C4—42no—
1965C4—42no—
1966C4—42no—
1967C4—42no—
1968C4—42no—
1969C4—42no—
1970C4—42no—
1971C4—42no—
1972C4—42no—
1973C4—42no—
1974C4—42no—
1975C4—42no—
1976C4—42no—
1977C4—42no—
1978C4—42no—
1979C4—42no—
1980C4#349914yes—
1981C2—42no—
1982C2—42no—
1983C2—42no—
1984C2—82no—
1985C2—82no—
1986C2C2×#349911yescharacteristic
1987C2#6285211yescharacteristic
1988C2#6285911yescharacteristic
1989C2#6287712yes—
1990C2#6287912yes—
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×#3565C2semidirect
3. #51063C2semidirect
4. #50686C2semidirect
5. #47945C2semidirect
6. #47943C2semidirect
7. #47767C2semidirect
8. #47766C2semidirect
9. #47208C2semidirect
10. #46821C2semidirect
11. #39618C2semidirect
12. #39616C2semidirect
13. #39613C2semidirect
14. #39612C2semidirect
15. #39490C2semidirect
16. #39489C2semidirect
17. #39485C2semidirect
18. #39483C2semidirect
19. #37870C2semidirect
20. #37870C2semidirect
21. #37869C2semidirect
22. #37868C2semidirect
23. #37865C2semidirect
24. #37864C2semidirect
25. #37863C2semidirect
26. #37862C2semidirect
27. #37632C2semidirect
28. #37545C2semidirect
29. #37423C2semidirect
30. #37423C2semidirect
31. #37303C2semidirect
32. #37303C2semidirect
33. #35343C2semidirect
34. #35331C2semidirect
35. #35330C2semidirect
36. #35281C2semidirect
37. #35277C2semidirect
38. #35275C2semidirect
39. #34081C2semidirect
403. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35522
C2×#35652
#510632
#506862
#479452
#479432
#477672
#477662
#472082
#468212
#396182
#396162
#396132
#396122
#394902
#394892
#394852
#394832
#378702
#378692
#378682
#378652
#378642
#378632
#378622
#376322
#375452
#374232
#373032
#353432
#353312
#353302
#352812
#352772
#352752
#340812