Finite Group Databasebeta

← #7681196

Subgroups — #7681196

Order 512.

6746 conjugacy classes of subgroups.

The subgroup lattice has 2021 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3523C211yesmaximal, characteristic, complemented
2C2×#3516C211yesmaximal, characteristic
3#59149C214yesmaximal, complemented
4#59109C214yesmaximal, complemented
5#59106C214yesmaximal, complemented
6#59063C214yesmaximal, complemented
7#44845C214yesmaximal, complemented
8#44843C214yesmaximal, complemented
9#44775C214yesmaximal, complemented
10#44773C214yesmaximal, complemented
11#39744C211yesmaximal, characteristic, complemented
12#39612C211yesmaximal, characteristic, complemented
13#39170C211yesmaximal, characteristic, complemented
14#39162C211yesmaximal, characteristic, complemented
15#38091C211yesmaximal, characteristic, complemented
16#38085C211yesmaximal, characteristic, complemented
17#38081C211yesmaximal, characteristic, complemented
18#38081C211yesmaximal, characteristic, complemented
19#37868C211yesmaximal, characteristic, complemented
20#37865C211yesmaximal, characteristic, complemented
21#37675C211yesmaximal, characteristic, complemented
22#37675C211yesmaximal, characteristic, complemented
23#36376C211yesmaximal, characteristic, complemented
24#36276C211yesmaximal, characteristic, complemented
25#36184C211yesmaximal, characteristic, complemented
26D4×C4⋊Q8C211yesmaximal, characteristic, complemented
27#35670C211yesmaximal, characteristic, complemented
28#35670C211yesmaximal, characteristic, complemented
29#35669C211yesmaximal, characteristic, complemented
30#35622C211yesmaximal, characteristic, complemented
31#35326C211yesmaximal, characteristic, complemented
32#35319C211yesmaximal, characteristic, complemented
33#35318C211yesmaximal, characteristic, complemented
34#34972C211yesmaximal, characteristic, complemented
35#34953C211yesmaximal, characteristic, complemented
36#34276C211yesmaximal, characteristic, complemented
37#34209C211yesmaximal, characteristic, complemented
38#34149C211yesmaximal, characteristic, complemented
39C2×#2327C211yesmaximal, characteristic, complemented
40#3523—216no—
41#3516—216no—
42C2×#557C2211yescharacteristic
43C2×#557C2211yescharacteristic
44C2×#557C2212yes—
45C2×#557C2211yescharacteristic
46C2×#556C2212yes—
47C2×#556C2211yescharacteristic
48C2×#556C2212yes—
49C2×#556C2211yescharacteristic
50C2×#554C2212yes—
51C2×#554C2211yescharacteristic
52C2×#553C2211yescharacteristic
53C2×#553C2212yes—
54C2×#552C2211yescharacteristic
55C2×#552C2211yescharacteristic
56C2×#552C2212yes—
57C2×#552C2211yescharacteristic
58C2×#552C2212yes—
59C2×#552C2212yes—
60C2×D4×Q8C2211yescharacteristic
61C2×D4×Q8C2211yescharacteristic
62C2×D4×Q8C2211yescharacteristic
63C2×D4×Q8C2211yescharacteristic
64C2×#548C2211yescharacteristic
65C2×#548C2211yescharacteristic
66C2×#542C2212yes—
67C2×#542C2211yescharacteristic
68C2×#541C2211yescharacteristic
69C2×#541C2212yes—
70C2×#541C2211yescharacteristic
71C2×#541C2211yescharacteristic
72C2×#541C2212yes—
73C2×#541C2212yes—
74C2×#536C2211yescharacteristic
75C2×#533C2212yes—
76C2×#533C2211yescharacteristic
77C22×C4⋊Q8C2211yescharacteristic
78C22×C4⋊Q8C2211yescharacteristic
79C2×#529C2211yescharacteristic
80C2×#529C2212yes—
81C2×#529C2212yes—
82C2×#529C2212yes—
83C2×#529C2211yescharacteristic
84C2×#520C2211yescharacteristic
85C2×#519C2211yescharacteristic
86C2×#519C2211yescharacteristic
87C2×#519C2211yescharacteristic
88C22×C4×Q8C2211yescharacteristic
89C22×C4×Q8C2211yescharacteristic
90#2868C2211yescharacteristic
91#2862C2211yescharacteristic
92#2861C2211yescharacteristic
93#2859C2211yescharacteristic
94#2857C2211yescharacteristic
95#2857C2211yescharacteristic
96#2857C2211yescharacteristic
97#2857C2211yescharacteristic
98#2857C2211yescharacteristic
99#2850C2211yescharacteristic
100#2850C2211yescharacteristic
101#2850C2211yescharacteristic
102#2734C2214yes—
103#2729C2214yes—
104#2726C2214yes—
105#2725C2214yes—
106#2722C2214yes—
107#2721C2214yes—
108#2721C2214yes—
109#2719C2214yes—
110#2719C2214yes—
111#2719C2214yes—
112#2717C2214yes—
113#2716C2214yes—
114#2715C2214yes—
115#2713C2214yes—
116#2713C2214yes—
117#2698C2214yes—
118#2689C2214yes—
119#2689C2214yes—
120#2687C2214yes—
121#2686C2214yes—
122#2677C2214yes—
123#2677C2214yes—
124#2674C2214yes—
125#2674C2214yes—
126#2660C2211yescharacteristic
127#2660C2211yescharacteristic
128#2658C2211yescharacteristic
129#2658C2211yescharacteristic
130#2642C2211yescharacteristic
131#2642C2211yescharacteristic
132#2642C2211yescharacteristic
133#2640C2211yescharacteristic
134#2621C2211yescharacteristic
135#2621C2211yescharacteristic
136#2621C2211yescharacteristic
137#2620C2211yescharacteristic
138#2611C2214yes—
139#2604C2214yes—
140#2604C2214yes—
141#2584C2214yes—
142#2583C2214yes—
143#2568C2211yescharacteristic
144#2567C2211yescharacteristic
145#2567C2211yescharacteristic
146#2567C2211yescharacteristic
147#2566C2211yescharacteristic
148#2565C2211yescharacteristic
149#2565C2211yescharacteristic
150#2565C2211yescharacteristic
151#2565C2211yescharacteristic
152#2565C2211yescharacteristic
153#2565C2211yescharacteristic
154#2565C2211yescharacteristic
155#2564C2214yes—
156#2556C2214yes—
157#2556C2214yes—
158#2553C2214yes—
159#2553C2214yes—
160#2551C2214yes—
161#2550C2214yes—
162#2549C2214yes—
163#2549C2214yes—
164#2547C2211yescharacteristic
165#2546C2211yescharacteristic
166#2546C2211yescharacteristic
167#2546C2211yescharacteristic
168#2546C2211yescharacteristic
169#2546C2211yescharacteristic
170#2546C2211yescharacteristic
171#2546C2211yescharacteristic
172#2545C2211yescharacteristic
173#2545C2211yescharacteristic
174#2545C2211yescharacteristic
175#2545C2211yescharacteristic
176#2521C2214yes—
177#2521C2214yes—
178#2519C2214yes—
179#2519C2214yes—
180#2506C2214yes—
181#2506C2214yes—
182#2503C2211yescharacteristic
183#2503C2211yescharacteristic
184#2502C2211yescharacteristic
185#2502C2211yescharacteristic
186#2502C2211yescharacteristic
187#2501C2211yescharacteristic
188#2500C2211yescharacteristic
189#2499C2211yescharacteristic
190#2499C2211yescharacteristic
191#2499C2211yescharacteristic
192#2499C2211yescharacteristic
193#2499C2211yescharacteristic
194#2498C2214yes—
195#2496C2214yes—
196#2496C2214yes—
197#2478C2214yes—
198#2478C2214yes—
199#2478C2214yes—
200#2478C2214yes—
201#2478C2214yes—
202#2475C2214yes—
203#2475C2214yes—
204#2474C2214yes—
205#2473C2214yes—
206#2470C2214yes—
207#2469C2214yes—
208#2469C2214yes—
209#2468C2214yes—
210#2466C2214yes—
211#2466C2214yes—
212#2465C2214yes—
213#2465C2214yes—
214#2462C2214yes—
215#2462C2214yes—
216#2462C2214yes—
217#2462C2214yes—
218#2462C2214yes—
219#2462C2214yes—
220#2462C2214yes—
221#2453C2214yes—
222#2450C2214yes—
223#2449C2214yes—
224#2449C2214yes—
225#2446C2214yes—
226#2444C2214yes—
227#2443C2214yes—
228#2443C2214yes—
229#2441C2214yes—
230#2440C2214yes—
231#2440C2214yes—
232#2438C2214yes—
233#2438C2214yes—
234#2438C2214yes—
235#2436C2211yescharacteristic
236#2436C2211yescharacteristic
237#2434C2211yescharacteristic
238#2434C2211yescharacteristic
239#2434C2211yescharacteristic
240#2434C2211yescharacteristic
241#2434C2211yescharacteristic
242#2434C2211yescharacteristic
243#2434C2211yescharacteristic
244#2434C2211yescharacteristic
245#2432C2211yescharacteristic
246#2432C2211yescharacteristic
247#2425C2214yes—
248#2425C2214yes—
249#2423C2214yes—
250#2419C2214yes—
251#2419C2214yes—
252#2419C2214yes—
253#2413C2214yes—
254#2399C2214yes—
255#2396C2214yes—
256#2373C2212yes—
257#2373C2212yes—
258#2372C2212yes—
259#2371C2212yes—
260#2368C2212yes—
261#2365C2214yes—
262#2365C2214yes—
263#2364C2212yes—
264#2362C2214yes—
265#2360C2214yes—
266#2359C2214yes—
267#2359C2214yes—
268#2359C2214yes—
269#2359C2212yes—
270#2359C2212yes—
271#2359C2214yes—
272#2349C2214yes—
273D4×C4⋊C4C2214yes—
274#2344C2214yes—
275#2344C2214yes—
276#2327C2211yescharacteristic
277#2327C2211yescharacteristic
278#2327C2211yescharacteristic
279#2327C2211yescharacteristic
280#2327C2214yes—
281#2327C2211yescharacteristic
282#2327C2211yescharacteristic
283#2327C2211yescharacteristic
284#2327C2211yescharacteristic
285#2327C2214yes—
286#2327C2211yescharacteristic
287#2327C2211yescharacteristic
288#2327C2211yescharacteristic
289#2327C2211yescharacteristic
290#2327C2211yescharacteristic
291#2326C2211yescharacteristic
292#2326C2211yescharacteristic
293#2326C2211yescharacteristic
294#2317C2211yescharacteristic
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×C4⋊Q8C2211yescharacteristic
305C4×C4⋊Q8C2211yescharacteristic
306C4×#124C2211yescharacteristic
307C4×#124C2211yescharacteristic
308C4×#124C2211yescharacteristic
309C4×#123C2214yes—
310#2298C2211yescharacteristic
311#2298C2211yescharacteristic
312#2297C2211yescharacteristic
313#2296C2214yes—
314#2295C2211yescharacteristic
315#2295C2211yescharacteristic
316C2×#391C2211yescharacteristic
317C2×#391C2211yescharacteristic
318C2×#391C2211yescharacteristic
319#2290C2211yescharacteristic
320#2290C2211yescharacteristic
321#2290C2211yescharacteristic
322#2290C2211yescharacteristic
323C2×#387C2214yes—
324C2×#387C2214yes—
325#2285C2211yescharacteristic
326C2×#382C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C42×D4C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C4×#117C2211yescharacteristic
332C2×#376C2211yescharacteristic
333C22×#41C2311yescharacteristic
334C23×Q8C2311yescharacteristic
335C23×Q8C2311yescharacteristic
336C23×Q8C2311yescharacteristic
337C23×Q8C2311yescharacteristic
338C23×Q8C2311yescharacteristic
339#557—216no—
340#557—28no—
341#557—28no—
342#557—28no—
343#556—216no—
344#556—216no—
345#556—28no—
346#556—28no—
347#554—216no—
348#554—28no—
349#553—216no—
350#553—28no—
351#552—216no—
352#552—216no—
353#552—216no—
354#552—28no—
355#552—28no—
356#552—28no—
357D4×Q8—28no—
358D4×Q8—28no—
359D4×Q8—28no—
360D4×Q8—28no—
361#548—28no—
362#548—28no—
363#542—216no—
364#542—28no—
365#541—216no—
366#541—216no—
367#541—216no—
368#541—28no—
369#541—28no—
370#541—28no—
371#536—28no—
372#533—216no—
373#533—28no—
374C2×C4⋊Q8—28no—
375C2×C4⋊Q8—28no—
376C2×C4⋊Q8C2311yescharacteristic
377C2×C4⋊Q8C2311yescharacteristic
378C2×C4⋊Q8C2311yescharacteristic
379C2×C4⋊Q8C2311yescharacteristic
380C2×C4⋊Q8C2311yescharacteristic
381C2×C4⋊Q8C2311yescharacteristic
382C2×C4⋊Q8C2311yescharacteristic
383C2×C4⋊Q8C2314yes—
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2311yescharacteristic
387C2×C4⋊Q8C2311yescharacteristic
388C2×C4⋊Q8C2311yescharacteristic
389C2×C4⋊Q8C2314yes—
390C2×C4⋊Q8C2311yescharacteristic
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2311yescharacteristic
398C2×C4⋊Q8C2311yescharacteristic
399C2×C4⋊Q8C2311yescharacteristic
400C2×C4⋊Q8C2311yescharacteristic
401C2×C4⋊Q8C2311yescharacteristic
402#529—216no—
403#529—216no—
404#529—216no—
405#529—28no—
406#529D4116yes—
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×#126C2312yes—
421C2×#126C2312yes—
422C2×#126C2312yes—
423C2×#126C2311yescharacteristic
424C2×#126C2311yescharacteristic
425C2×#125C2311yescharacteristic
426C2×#125C2311yescharacteristic
427C2×#125C2311yescharacteristic
428C2×#125C2311yescharacteristic
429C2×#125C2312yes—
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×#125C2312yes—
443C2×#125C2312yes—
444C2×#125C2312yes—
445C2×#125C2312yes—
446C2×#125C2312yes—
447C2×#125C2311yescharacteristic
448C2×#124C2311yescharacteristic
449C2×#124C2311yescharacteristic
450C2×#124C2311yescharacteristic
451C2×#124C2311yescharacteristic
452C2×#124C2312yes—
453C2×#124C2312yes—
454C2×#124C2312yes—
455C2×#124C2312yes—
456C2×#124C2311yescharacteristic
457C2×#124C2311yescharacteristic
458C2×#124C2311yescharacteristic
459C2×#123C2314yes—
460C2×#123C2314yes—
461C2×#123C2312yes—
462C2×#123C2312yes—
463C2×#123C2312yes—
464C2×#123C2312yes—
465C2×#123C2312yes—
466C2×#123C2312yes—
467C2×#123C2311yescharacteristic
468C2×#123C2311yescharacteristic
469C2×C22⋊Q8C2312yes—
470C2×C22⋊Q8C2311yescharacteristic
471C2×C22⋊Q8C2311yescharacteristic
472C2×C22⋊Q8C2311yescharacteristic
473C2×C22⋊Q8C2311yescharacteristic
474C2×C22⋊Q8C2311yescharacteristic
475C2×C22⋊Q8C2311yescharacteristic
476C2×C22⋊Q8C2311yescharacteristic
477C2×C22⋊Q8C2311yescharacteristic
478C2×C22⋊Q8C2311yescharacteristic
479C2×C22⋊Q8C2311yescharacteristic
480C2×C22⋊Q8C2314yes—
481C2×C22⋊Q8C2312yes—
482C2×C22⋊Q8C2312yes—
483C2×C22⋊Q8C2312yes—
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⋊Q8C2311yescharacteristic
496C2×#121C2311yescharacteristic
497C2×#121C2311yescharacteristic
498C2×#121C2312yes—
499C2×#121C2312yes—
500C2×#121C2312yes—
501C2×#121C2311yescharacteristic
502#520—28no—
503#519—28no—
504#519—28no—
505#519—28no—
506C2×C4×Q8—28no—
507C2×C4×Q8—28no—
508C2×C4×Q8C2311yescharacteristic
509C2×C4×Q8C2311yescharacteristic
510C2×C4×Q8C2311yescharacteristic
511C2×C4×Q8C2311yescharacteristic
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×Q8C2312yes—
536C2×C4×Q8C2312yes—
537C2×C4×Q8C2312yes—
538C2×C4×Q8C2312yes—
539C2×C4×Q8C2312yes—
540C2×C4×Q8C2312yes—
541C2×C4×Q8C2311yescharacteristic
542C2×C4×D4C2312yes—
543C2×C4×D4C2311yescharacteristic
544C2×C4×D4C2311yescharacteristic
545C2×C4×D4C2312yes—
546C2×C4×D4C2312yes—
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×D4C2311yescharacteristic
558C2×C4×D4C2311yescharacteristic
559C2×C4×D4C2311yescharacteristic
560C2×#117C2311yescharacteristic
561C2×#117C2311yescharacteristic
562C2×#117C2311yescharacteristic
563C2×#117C2311yescharacteristic
564C2×#117C2312yes—
565C2×#117C2312yes—
566C2×#117C2312yes—
567C2×#117C2312yes—
568C2×#117C2312yes—
569C2×#117C2312yes—
570C2×#117C2312yes—
571C2×#117C2312yes—
572C2×#117C2312yes—
573C2×#117C2312yes—
574C2×#117C2312yes—
575C2×#117C2312yes—
576C2×#117C2312yes—
577C2×#117C2312yes—
578C2×#117C2311yescharacteristic
579C2×#117C2311yescharacteristic
580C2×#117C2311yescharacteristic
581C22×C4⋊C4C2311yescharacteristic
582C22×C4⋊C4C2312yes—
583C22×C4⋊C4C2314yes—
584C22×C4⋊C4C2314yes—
585C22×C4⋊C4C2312yes—
586C22×C4⋊C4C2312yes—
587C22×C4⋊C4C2311yescharacteristic
588C22×C4⋊C4C2311yescharacteristic
589C22×C42C2311yescharacteristic
590C22×C42C2311yescharacteristic
591C22×C42C2312yes—
592C22×C42C2312yes—
593C22×C42C2311yescharacteristic
594C22×C42C2311yescharacteristic
595C22×C42C2311yescharacteristic
596#400C2314yes—
597#400C2314yes—
598#400C2314yes—
599#400C2314yes—
600#400C2314yes—
601#400C2314yes—
602#400C2314yes—
603#400C2314yes—
604#400C2314yes—
605#399C2314yes—
606#399C2314yes—
607#399C2314yes—
608#399C2314yes—
609#399C2314yes—
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#398C2314yes—
623#398C2314yes—
624#398C2314yes—
625#398C2314yes—
626#398C2314yes—
627#398C2314yes—
628#398C2314yes—
629#398C2314yes—
630#398C2314yes—
631#398C2314yes—
632#397C2314yes—
633#397C2314yes—
634#397C2314yes—
635#397C2314yes—
636#397C2314yes—
637#397C2314yes—
638#397C2314yes—
639#397C2314yes—
640#397C2314yes—
641#397C2314yes—
642#396C2314yes—
643#396C2314yes—
644#396C2314yes—
645#396C2314yes—
646#396C2314yes—
647#396C2314yes—
648#395C2314yes—
649#395C2314yes—
650#395C2314yes—
651#395C2314yes—
652#395C2314yes—
653#395C2314yes—
654#395C2314yes—
655#395C2314yes—
656#395C2314yes—
657#395C2314yes—
658#395C2314yes—
659#395C2314yes—
660#395C2314yes—
661#394C2314yes—
662#394C2314yes—
663#394C2314yes—
664#394C2314yes—
665#393C2314yes—
666#393C2314yes—
667#393C2314yes—
668#391C2311yescharacteristic
669#391C2311yescharacteristic
670#391C2311yescharacteristic
671#391C2311yescharacteristic
672#391C2311yescharacteristic
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#391C2314yes—
691#391C2314yes—
692#391C2311yescharacteristic
693#391C2314yes—
694#391C2311yescharacteristic
695#391C2311yescharacteristic
696#391C2311yescharacteristic
697#391C2314yes—
698#391C2314yes—
699#391C2311yescharacteristic
700#391C2311yescharacteristic
701#391C2314yes—
702#391C2314yes—
703#391C2312yes—
704#391C2312yes—
705#390C2311yescharacteristic
706#390C2311yescharacteristic
707#390C2311yescharacteristic
708#390C2311yescharacteristic
709#389C2314yes—
710#389C2314yes—
711#389C2314yes—
712#389C2314yes—
713#389C2314yes—
714#389C2314yes—
715#389C2314yes—
716#389C2314yes—
717#389C2314yes—
718#389C2314yes—
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#389C2314yes—
733#389C2314yes—
734#389C2312yes—
735#389C2312yes—
736#389C2314yes—
737#389C2314yes—
738#388C2314yes—
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#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2314yes—
756#388C2314yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2314yes—
762#387C2314yes—
763#387C2314yes—
764#387C2314yes—
765#387C2314yes—
766#387C2314yes—
767#387C2314yes—
768#387C2314yes—
769#387C2314yes—
770#387C2314yes—
771#387C2314yes—
772#387C2314yes—
773#387C2314yes—
774#387C2314yes—
775#387C2314yes—
776#387C2314yes—
777#387C2314yes—
778#387C2314yes—
779#387C2314yes—
780#387C2314yes—
781#387C2314yes—
782#387C2314yes—
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#387C2312yes—
796#387C2312yes—
797#387C2312yes—
798#387C2312yes—
799#387C2314yes—
800#387C2314yes—
801#387C2312yes—
802#387C2312yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2314yes—
810#387C2314yes—
811#387C2314yes—
812#386C2314yes—
813#386C2314yes—
814#386C2314yes—
815#386C2314yes—
816#386C2312yes—
817#386C2312yes—
818#386C2312yes—
819#386C2312yes—
820#386C2314yes—
821#386C2314yes—
822#385C2314yes—
823#385C2314yes—
824#385C2314yes—
825#385C2314yes—
826#385C2314yes—
827#385C2314yes—
828#385C2314yes—
829#385C2314yes—
830#385C2314yes—
831#385C2314yes—
832#385C2314yes—
833#385C2314yes—
834#385C2314yes—
835#385C2314yes—
836#385C2312yes—
837#385C2312yes—
838#385C2312yes—
839#385C2312yes—
840#385C2314yes—
841#385C2314yes—
842#385C2314yes—
843#385C2314yes—
844#384C2311yescharacteristic
845#384C2311yescharacteristic
846#384C2311yescharacteristic
847#384C2311yescharacteristic
848#384C2311yescharacteristic
849#384C2311yescharacteristic
850#384C2311yescharacteristic
851#384C2311yescharacteristic
852#384C2314yes—
853#384C2314yes—
854#382C2311yescharacteristic
855#382C2311yescharacteristic
856#382C2311yescharacteristic
857#382C2311yescharacteristic
858#382C2311yescharacteristic
859#382C2311yescharacteristic
860#382C2311yescharacteristic
861#382C2311yescharacteristic
862#382C2314yes—
863#382C2314yes—
864#381C2314yes—
865#381C2314yes—
866#381C2314yes—
867#381C2314yes—
868#380C2314yes—
869#380C2314yes—
870#380C2314yes—
871#380C2314yes—
872#380C2314yes—
873#380C2314yes—
874#380C2314yes—
875C4×C4⋊C4C2314yes—
876C4×C4⋊C4C2314yes—
877C4×C4⋊C4C2314yes—
878C4×C4⋊C4C2314yes—
879C4×C4⋊C4C2314yes—
880C4×C4⋊C4C2314yes—
881C4×C4⋊C4C2314yes—
882C4×C4⋊C4C2314yes—
883C4×C4⋊C4C2314yes—
884C4×C4⋊C4C2311yescharacteristic
885C4×C4⋊C4C2311yescharacteristic
886C4×C4⋊C4C2311yescharacteristic
887C4×C4⋊C4C2311yescharacteristic
888C4×C4⋊C4C2311yescharacteristic
889C4×C4⋊C4C2311yescharacteristic
890C4×C4⋊C4C2312yes—
891C4×C4⋊C4C2312yes—
892C4×C4⋊C4C2312yes—
893C4×C4⋊C4C2314yes—
894C4×C4⋊C4C2312yes—
895C4×C4⋊C4C2312yes—
896C4×C4⋊C4C2312yes—
897C4×C4⋊C4C2312yes—
898C4×C22⋊C4C2312yes—
899C4×C22⋊C4C2312yes—
900C4×C22⋊C4C2312yes—
901C4×C22⋊C4C2312yes—
902C4×C22⋊C4C2312yes—
903C4×C22⋊C4C2312yes—
904C4×C22⋊C4C2314yes—
905C4×C22⋊C4C2312yes—
906C4×C22⋊C4C2314yes—
907C4×C22⋊C4C2314yes—
908C4×C22⋊C4C2312yes—
909C4×C22⋊C4C2312yes—
910C4×C22⋊C4C2314yes—
911C4×C22⋊C4C2311yescharacteristic
912C4×C22⋊C4C2311yescharacteristic
913C4×C22⋊C4C2311yescharacteristic
914C4×C22⋊C4C2311yescharacteristic
915C4×C22⋊C4C2311yescharacteristic
916C4×C22⋊C4C2311yescharacteristic
917#376C2311yescharacteristic
918#376C2311yescharacteristic
919#376C2311yescharacteristic
920#376C2312yes—
921#376C2312yes—
922#376C2311yescharacteristic
923#376C2311yescharacteristic
924#376C2311yescharacteristic
925#376C2312yes—
926C2×#95C2312yes—
927C2×#95C2314yes—
928C2×#95C2314yes—
929C2×#95C2312yes—
930C2×#95C2314yes—
931C2×#95C2314yes—
932C43C2311yescharacteristic
933C43C2311yescharacteristic
934C43C2311yescharacteristic
935C43C2311yescharacteristic
936C2×#41—24no—
937C2×#41—24no—
938C2×#41—42no—
939C22×Q8—24no—
940C22×Q8—24no—
941C22×Q8—24no—
942C22×Q8—24no—
943C22×Q8—24no—
944C22×Q8—24no—
945C22×Q8—24no—
946C22×Q8—24no—
947C22×Q8—24no—
948C22×Q8—24no—
949C22×Q8—42no—
950C22×Q8—42no—
951C22×Q8—42no—
952C22×Q8—42no—
953C22×Q8—42no—
954C22×Q8C2411yescharacteristic
955C22×Q8C2411yescharacteristic
956C22×Q8C2411yescharacteristic
957C22×Q8C2411yescharacteristic
958C22×Q8C2411yescharacteristic
959C22×Q8C2412yes—
960C22×Q8C2412yes—
961C22×Q8C2412yes—
962C22×Q8C2412yes—
963C22×Q8C2412yes—
964C22×Q8C2411yescharacteristic
965C22×Q8C2411yescharacteristic
966C22×Q8C2412yes—
967C22×Q8C2412yes—
968C22×Q8C2411yescharacteristic
969C22×D4C2412yes—
970C22×D4C2411yescharacteristic
971C22×D4C2412yes—
972C22×D4C2411yescharacteristic
973C22×D4C2411yescharacteristic
974C22×D4C2412yes—
975C22×D4C2411yescharacteristic
976C23×C4C2412yes—
977C23×C4C2412yes—
978C23×C4C2412yes—
979C23×C4C2412yes—
980C23×C4C2412yes—
981C23×C4C2412yes—
982C23×C4C2412yes—
983C23×C4C2412yes—
984C23×C4C2412yes—
985C23×C4C2411yescharacteristic
986C23×C4C2411yescharacteristic
987C23×C4C2411yescharacteristic
988C23×C4C2411yescharacteristic
989C23×C4C2412yes—
990C23×C4C2412yes—
991C23×C4C2412yes—
992C23×C4C2412yes—
993C23×C4C2412yes—
994C23×C4C2412yes—
995C23×C4C2411yescharacteristic
996C4⋊Q8—28no—
997C4⋊Q8—28no—
998C4⋊Q8—24no—
999C4⋊Q8—24no—
1000C4⋊Q8—24no—
1001C4⋊Q8—24no—
1002C4⋊Q8—24no—
1003C4⋊Q8—28no—
1004C4⋊Q8—28no—
1005C4⋊Q8—28no—
1006C4⋊Q8—28no—
1007C4⋊Q8—216no—
1008C4⋊Q8—216no—
1009C4⋊Q8—24no—
1010C4⋊Q8—24no—
1011C4⋊Q8—24no—
1012C4⋊Q8—24no—
1013C4⋊Q8—24no—
1014C4⋊Q8—24no—
1015C4⋊Q8—24no—
1016C4⋊Q8—24no—
1017C4⋊Q8—42no—
1018C4⋊Q8—42no—
1019C4⋊Q8—42no—
1020C4⋊Q8—42no—
1021C4⋊Q8#4118yes—
1022#126—28no—
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#126—28no—
1036#126—28no—
1037#126—28no—
1038#126C2×D418yes—
1039#126C2×D418yes—
1040#125—28no—
1041#125—28no—
1042#125—28no—
1043#125—28no—
1044#125—28no—
1045#125—28no—
1046#125—28no—
1047#125—28no—
1048#125—28no—
1049#125—28no—
1050#125—28no—
1051#125—28no—
1052#125—28no—
1053#125—28no—
1054#125—28no—
1055#125—28no—
1056#125—28no—
1057#125—24no—
1058#125—28no—
1059#125—24no—
1060#125—24no—
1061#125—24no—
1062#125C2×D418yes—
1063#124—24no—
1064#124—28no—
1065#124—28no—
1066#124—28no—
1067#124—28no—
1068#124—24no—
1069#124—24no—
1070#124—24no—
1071#124—42no—
1072#124—42no—
1073#124C2×D418yes—
1074#123—28no—
1075#123—28no—
1076#123—28no—
1077#123—28no—
1078#123—216no—
1079#123—28no—
1080#123—28no—
1081#123—216no—
1082#123C2×D418yes—
1083#123C2×D418yes—
1084C22⋊Q8—28no—
1085C22⋊Q8—28no—
1086C22⋊Q8—24no—
1087C22⋊Q8—24no—
1088C22⋊Q8—24no—
1089C22⋊Q8—24no—
1090C22⋊Q8—24no—
1091C22⋊Q8—24no—
1092C22⋊Q8—24no—
1093C22⋊Q8—24no—
1094C22⋊Q8—24no—
1095C22⋊Q8—24no—
1096C22⋊Q8—28no—
1097C22⋊Q8—28no—
1098C22⋊Q8—28no—
1099C22⋊Q8—216no—
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—28no—
1110C22⋊Q8C2×D418yes—
1111#121—28no—
1112#121—28no—
1113#121—28no—
1114#121—24no—
1115#121—24no—
1116#121C2×D418yes—
1117C4×Q8—28no—
1118C4×Q8—28no—
1119C4×Q8—28no—
1120C4×Q8—28no—
1121C4×Q8—28no—
1122C4×Q8—28no—
1123C4×Q8—28no—
1124C4×Q8—28no—
1125C4×Q8—28no—
1126C4×Q8—28no—
1127C4×Q8—24no—
1128C4×Q8—24no—
1129C4×Q8—28no—
1130C4×Q8—24no—
1131C4×Q8—28no—
1132C4×Q8—24no—
1133C4×Q8—24no—
1134C4×Q8—24no—
1135C4×Q8—24no—
1136C4×Q8—28no—
1137C4×Q8—28no—
1138C4×Q8—24no—
1139C4×Q8—24no—
1140C4×Q8—24no—
1141C4×Q8—24no—
1142C4×Q8—24no—
1143C4×Q8—24no—
1144C4×Q8—24no—
1145C4×Q8—24no—
1146C4×Q8—24no—
1147C4×Q8—24no—
1148C4×Q8—24no—
1149C4×Q8—28no—
1150C4×Q8C2×D418yes—
1151C4×D4—28no—
1152C4×D4—28no—
1153C4×D4—28no—
1154C4×D4—28no—
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—28no—
1164C4×D4—24no—
1165C4×D4—24no—
1166C4×D4C2×D418yes—
1167C4×D4C2×D418yes—
1168C4×D4C2×D418yes—
1169#117—24no—
1170#117—24no—
1171#117—24no—
1172#117—28no—
1173#117—28no—
1174#117—28no—
1175#117—28no—
1176#117—28no—
1177#117—28no—
1178#117—28no—
1179#117—28no—
1180#117—28no—
1181#117—28no—
1182#117—28no—
1183#117—28no—
1184#117—28no—
1185#117—28no—
1186#117—24no—
1187#117—42no—
1188#117C2×D418yes—
1189#117C2×D418yes—
1190C2×C4⋊C4—24no—
1191C2×C4⋊C4—28no—
1192C2×C4⋊C4—28no—
1193C2×C4⋊C4—24no—
1194C2×C4⋊C4—24no—
1195C2×C4⋊C4—28no—
1196C2×C4⋊C4—216no—
1197C2×C4⋊C4—216no—
1198C2×C4⋊C4C2411yescharacteristic
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2411yescharacteristic
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2411yescharacteristic
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2411yescharacteristic
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2411yescharacteristic
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2414yes—
1216C2×C4⋊C4C2414yes—
1217C2×C4⋊C4C2414yes—
1218C2×C4⋊C4C2414yes—
1219C2×C4⋊C4C2414yes—
1220C2×C4⋊C4C2414yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2411yescharacteristic
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2411yescharacteristic
1226C2×C4⋊C4C2411yescharacteristic
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⋊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⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2414yes—
1267C2×C4⋊C4C2414yes—
1268C2×C4⋊C4C2414yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2414yes—
1271C2×C4⋊C4C2414yes—
1272C2×C4⋊C4C2414yes—
1273C2×C4⋊C4C2414yes—
1274C2×C4⋊C4C2414yes—
1275C2×C4⋊C4C2414yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2414yes—
1278C2×C4⋊C4C2414yes—
1279C2×C4⋊C4C2414yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1319C2×C22⋊C4C2414yes—
1320C2×C22⋊C4C2414yes—
1321C2×C22⋊C4C2414yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2414yes—
1324C2×C22⋊C4C2414yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
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×C22⋊C4C2412yes—
1340C2×C42—28no—
1341C2×C42—28no—
1342C2×C42—24no—
1343C2×C42—24no—
1344C2×C42—42no—
1345C2×C42—42no—
1346C2×C42C2×D418yes—
1347C2×C42C2412yes—
1348C2×C42C2412yes—
1349C2×C42C2412yes—
1350C2×C42C2412yes—
1351C2×C42C2412yes—
1352C2×C42C2412yes—
1353C2×C42C2412yes—
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2411yescharacteristic
1364C2×C42C2411yescharacteristic
1365C2×C42C2411yescharacteristic
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2411yescharacteristic
1376C2×C42C2411yescharacteristic
1377C2×C42C2411yescharacteristic
1378C2×C42C2411yescharacteristic
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2411yescharacteristic
1388C2×C42C2411yescharacteristic
1389C2×C42C2411yescharacteristic
1390C2×C42C2411yescharacteristic
1391C2×C42C2411yescharacteristic
1392C2×C42C2411yescharacteristic
1393C2×C42C2411yescharacteristic
1394#95C2414yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2414yes—
1404#95C2414yes—
1405#95C2414yes—
1406#95C2414yes—
1407#95C2414yes—
1408#95C2414yes—
1409#95C2414yes—
1410#95C2414yes—
1411#95C2414yes—
1412#95C2414yes—
1413#95C2414yes—
1414#95C2414yes—
1415#95C2414yes—
1416#95C2414yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2414yes—
1430#95C2414yes—
1431#95C2414yes—
1432#95C2414yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2414yes—
1436#95C2414yes—
1437#95C2414yes—
1438#95C2414yes—
1439#95C2414yes—
1440#95C2414yes—
1441#95C2414yes—
1442#95C2414yes—
1443#95C2414yes—
1444#95C2414yes—
1445#95C2414yes—
1446#95C2414yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2414yes—
1450#95C2414yes—
1451#95C2414yes—
1452#95C2414yes—
1453#95C2414yes—
1454C24C2512yes—
1455C24C2511yescharacteristic
1456C24C2511yescharacteristic
1457C24C2511yescharacteristic
1458#41—416no—
1459C2×Q8—22no—
1460C2×Q8—22no—
1461C2×Q8—24no—
1462C2×Q8—24no—
1463C2×Q8—24no—
1464C2×Q8—22no—
1465C2×Q8—22no—
1466C2×Q8—24no—
1467C2×Q8—24no—
1468C2×Q8—24no—
1469C2×Q8—22no—
1470C2×Q8—22no—
1471C2×Q8—22no—
1472C2×Q8—24no—
1473C2×Q8—24no—
1474C2×Q8—22no—
1475C2×Q8—24no—
1476C2×Q8—24no—
1477C2×Q8—24no—
1478C2×Q8—24no—
1479C2×Q8—22no—
1480C2×Q8—22no—
1481C2×Q8—22no—
1482C2×Q8—22no—
1483C2×Q8—22no—
1484C2×Q8—22no—
1485C2×Q8—22no—
1486C2×Q8—22no—
1487C2×Q8—22no—
1488C2×Q8—22no—
1489C2×Q8—22no—
1490C2×Q8—42no—
1491C2×Q8—42no—
1492C2×Q8—42no—
1493C2×Q8—42no—
1494C2×Q8—42no—
1495C2×Q8—42no—
1496C2×Q8—44no—
1497C2×Q8—44no—
1498C2×Q8—416no—
1499C2×Q8—416no—
1500C2×Q8—416no—
1501C2×Q8—416no—
1502C2×Q8—416no—
1503C2×Q8C22×D414yes—
1504C2×Q8C2×#4114yes—
1505C2×Q8C2×#4114yes—
1506C2×D4—24no—
1507C2×D4—24no—
1508C2×D4—24no—
1509C2×D4—24no—
1510C2×D4—28no—
1511C2×D4—24no—
1512C2×D4—22no—
1513C2×D4—24no—
1514C2×D4—22no—
1515C2×D4—22no—
1516C2×D4—42no—
1517C2×D4—42no—
1518C2×D4—44no—
1519C2×D4C22×D414yes—
1520C2×D4C22×D414yes—
1521C2×D4C22×D414yes—
1522C22×C4—24no—
1523C22×C4—22no—
1524C22×C4—22no—
1525C22×C4—22no—
1526C22×C4—22no—
1527C22×C4—22no—
1528C22×C4—22no—
1529C22×C4—24no—
1530C22×C4—24no—
1531C22×C4—24no—
1532C22×C4—24no—
1533C22×C4—24no—
1534C22×C4—24no—
1535C22×C4—24no—
1536C22×C4—28no—
1537C22×C4—24no—
1538C22×C4—24no—
1539C22×C4—24no—
1540C22×C4—24no—
1541C22×C4—24no—
1542C22×C4—24no—
1543C22×C4—24no—
1544C22×C4—24no—
1545C22×C4—24no—
1546C22×C4—24no—
1547C22×C4—24no—
1548C22×C4—24no—
1549C22×C4—24no—
1550C22×C4—24no—
1551C22×C4—24no—
1552C22×C4—24no—
1553C22×C4—42no—
1554C22×C4—42no—
1555C22×C4—42no—
1556C22×C4—42no—
1557C22×C4—42no—
1558C22×C4—42no—
1559C22×C4—42no—
1560C22×C4—42no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—42no—
1564C22×C4—42no—
1565C22×C4—44no—
1566C22×C4—44no—
1567C22×C4—42no—
1568C22×C4—44no—
1569C22×C4—44no—
1570C22×C4C22×D414yes—
1571C22×C4C22×D414yes—
1572C22×C4C22×D414yes—
1573C22×C4C22×D414yes—
1574C22×C4C22×D414yes—
1575C22×C4C2512yes—
1576C22×C4C2512yes—
1577C22×C4C2512yes—
1578C22×C4C2512yes—
1579C22×C4C2512yes—
1580C22×C4C2512yes—
1581C22×C4C2512yes—
1582C22×C4C2512yes—
1583C22×C4C2512yes—
1584C22×C4C2512yes—
1585C22×C4C2512yes—
1586C22×C4C2512yes—
1587C22×C4C2512yes—
1588C22×C4C2512yes—
1589C22×C4C2512yes—
1590C22×C4C2512yes—
1591C22×C4C2512yes—
1592C22×C4C2512yes—
1593C22×C4C2511yescharacteristic
1594C22×C4C2511yescharacteristic
1595C22×C4C2511yescharacteristic
1596C22×C4C2511yescharacteristic
1597C22×C4C2511yescharacteristic
1598C22×C4C2511yescharacteristic
1599C22×C4C2511yescharacteristic
1600C22×C4C2511yescharacteristic
1601C22×C4C2511yescharacteristic
1602C22×C4C2511yescharacteristic
1603C22×C4C2511yescharacteristic
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2511yescharacteristic
1610C4⋊C4—24no—
1611C4⋊C4—22no—
1612C4⋊C4—24no—
1613C4⋊C4—24no—
1614C4⋊C4—22no—
1615C4⋊C4—24no—
1616C4⋊C4—22no—
1617C4⋊C4—24no—
1618C4⋊C4—22no—
1619C4⋊C4—24no—
1620C4⋊C4—22no—
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—22no—
1630C4⋊C4—24no—
1631C4⋊C4—24no—
1632C4⋊C4—24no—
1633C4⋊C4—22no—
1634C4⋊C4—22no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
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—28no—
1668C4⋊C4—28no—
1669C4⋊C4—28no—
1670C4⋊C4—28no—
1671C4⋊C4—28no—
1672C4⋊C4—28no—
1673C4⋊C4—24no—
1674C4⋊C4—28no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—28no—
1680C4⋊C4—28no—
1681C4⋊C4—44no—
1682C4⋊C4—44no—
1683C4⋊C4—44no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—44no—
1687C4⋊C4—44no—
1688C4⋊C4—44no—
1689C4⋊C4—42no—
1690C4⋊C4—44no—
1691C4⋊C4—44no—
1692C4⋊C4—44no—
1693C4⋊C4—44no—
1694C4⋊C4C22×D414yes—
1695C4⋊C4C22×D414yes—
1696C4⋊C4C22×D414yes—
1697C4⋊C4C22×D414yes—
1698C4⋊C4C22×D414yes—
1699C4⋊C4C22×D414yes—
1700C4⋊C4C22×D414yes—
1701C4⋊C4C22×D414yes—
1702C4⋊C4C22×D414yes—
1703C4⋊C4C22×D414yes—
1704C4⋊C4C2×#41116yes—
1705C22⋊C4—24no—
1706C22⋊C4—24no—
1707C22⋊C4—24no—
1708C22⋊C4—24no—
1709C22⋊C4—24no—
1710C22⋊C4—24no—
1711C22⋊C4—24no—
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—28no—
1729C22⋊C4—28no—
1730C22⋊C4—24no—
1731C22⋊C4—24no—
1732C22⋊C4—28no—
1733C22⋊C4—28no—
1734C22⋊C4—44no—
1735C22⋊C4—42no—
1736C22⋊C4—42no—
1737C22⋊C4—44no—
1738C22⋊C4—42no—
1739C22⋊C4—44no—
1740C22⋊C4—44no—
1741C22⋊C4C22×D414yes—
1742C22⋊C4C22×D414yes—
1743C22⋊C4C22×D414yes—
1744C22⋊C4C22×D414yes—
1745C22⋊C4C22×D414yes—
1746C22⋊C4C22×D414yes—
1747C22⋊C4C22×D414yes—
1748C22⋊C4C22×D414yes—
1749C22⋊C4C22×D414yes—
1750C22⋊C4C22×D414yes—
1751C22⋊C42−1+418yes—
1752C42—24no—
1753C42—24no—
1754C42—24no—
1755C42—24no—
1756C42—24no—
1757C42—24no—
1758C42—24no—
1759C42—24no—
1760C42—24no—
1761C42—24no—
1762C42—24no—
1763C42—24no—
1764C42—24no—
1765C42—24no—
1766C42—24no—
1767C42—24no—
1768C42—24no—
1769C42—24no—
1770C42—24no—
1771C42—24no—
1772C42—24no—
1773C42—22no—
1774C42—24no—
1775C42—24no—
1776C42—22no—
1777C42—22no—
1778C42—24no—
1779C42—24no—
1780C42—24no—
1781C42—24no—
1782C42—22no—
1783C42—22no—
1784C42—22no—
1785C42—22no—
1786C42—42no—
1787C42—42no—
1788C42—42no—
1789C42—42no—
1790C42—42no—
1791C42—42no—
1792C42C22×D414yes—
1793C42C22×D414yes—
1794C42C22×D414yes—
1795C42C22×D414yes—
1796C42C22×D414yes—
1797C42C22×D414yes—
1798C42C2×#4114yes—
1799C23—21no—
1800C23—21no—
1801C23—22no—
1802C23—21no—
1803C23—21no—
1804C23—22no—
1805C23—22no—
1806C23—21no—
1807C23—21no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—24no—
1813C23—22no—
1814C23—24no—
1815C23C23×D412yes—
1816C23C23×D412yes—
1817C23C23×D412yes—
1818C23C2×2−1+414yes—
1819C23C2611yescharacteristic
1820Q8—28no—
1821Q8—28no—
1822Q8—44no—
1823Q8—48no—
1824Q8—48no—
1825Q8—48no—
1826Q8—48no—
1827Q8—48no—
1828Q8—48no—
1829Q8—44no—
1830Q8—44no—
1831Q8—44no—
1832Q8—44no—
1833Q8—44no—
1834Q8—84no—
1835D4—28no—
1836D4—28no—
1837D4—44no—
1838D4—48no—
1839D4—48no—
1840D4—44no—
1841D4—84no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
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—28no—
1867C2×C4—28no—
1868C2×C4—28no—
1869C2×C4—28no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—24no—
1895C2×C4—24no—
1896C2×C4—22no—
1897C2×C4—24no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
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—22no—
1910C2×C4—22no—
1911C2×C4—24no—
1912C2×C4—24no—
1913C2×C4—24no—
1914C2×C4—24no—
1915C2×C4—24no—
1916C2×C4—44no—
1917C2×C4—48no—
1918C2×C4—48no—
1919C2×C4—48no—
1920C2×C4—48no—
1921C2×C4—48no—
1922C2×C4—48no—
1923C2×C4—48no—
1924C2×C4—48no—
1925C2×C4—48no—
1926C2×C4—84no—
1927C2×C4—84no—
1928C2×C4—84no—
1929C2×C4—84no—
1930C2×C4—84no—
1931C2×C4—84no—
1932C2×C4C23×D412yes—
1933C2×C4C23×D412yes—
1934C2×C4C23×D412yes—
1935C2×C4C23×D412yes—
1936C2×C4C23×D412yes—
1937C2×C4C23×D412yes—
1938C2×C4C23×D412yes—
1939C2×C4C23×D412yes—
1940C2×C4C23×D412yes—
1941C2×C4C23×D412yes—
1942C2×C4C23×D412yes—
1943C2×C4C23×D412yes—
1944C2×C4C22×#4114yes—
1945C2×C4C22×#4114yes—
1946C2×C4C22×#4114yes—
1947C2×C4C22×#4112yes—
1948C2×C4C2×2−1+414yes—
1949C2×C4C2×2−1+414yes—
1950C2×C4#58512yes—
1951C22—24no—
1952C22—22no—
1953C22—24no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—42no—
1962C22—42no—
1963C22—42no—
1964C22—42no—
1965C22—44no—
1966C22—42no—
1967C22—42no—
1968C22—44no—
1969C22—42no—
1970C22#349914yes—
1971C22C24×D411yescharacteristic
1972C22C23×#4111yescharacteristic
1973C22C22×2−1+412yes—
1974C22C2×#58511yescharacteristic
1975C222−1+612yes—
1976C4—24no—
1977C4—24no—
1978C4—22no—
1979C4—22no—
1980C4—22no—
1981C4—22no—
1982C4—22no—
1983C4—22no—
1984C4—22no—
1985C4—22no—
1986C4—24no—
1987C4—22no—
1988C4—22no—
1989C4—22no—
1990C4—24no—
1991C4—24no—
1992C4—42no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—42no—
1997C4—42no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4D4×#4114yes—
2011C2—24no—
2012C2—42no—
2013C2—42no—
2014C2—82no—
2015C2C2×D4×#4111yescharacteristic
2016C2C2×#349911yescharacteristic
2017C2#6285911yescharacteristic
2018C2#6295012yes—
2019C2#6299812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3516C2
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×#3523C2semidirect
3. #59149C2semidirect
4. #59109C2semidirect
5. #59106C2semidirect
6. #59063C2semidirect
7. #44845C2semidirect
8. #44843C2semidirect
9. #44775C2semidirect
10. #44773C2semidirect
11. #39744C2semidirect
12. #39612C2semidirect
13. #39170C2semidirect
14. #39162C2semidirect
15. #38091C2semidirect
16. #38085C2semidirect
17. #38081C2semidirect
18. #38081C2semidirect
19. #37868C2semidirect
20. #37865C2semidirect
21. #37675C2semidirect
22. #37675C2semidirect
23. #36376C2semidirect
24. #36276C2semidirect
25. #36184C2semidirect
26. D4×C4⋊Q8C2semidirect
27. #35670C2semidirect
28. #35670C2semidirect
29. #35669C2semidirect
30. #35622C2semidirect
31. #35326C2semidirect
32. #35319C2semidirect
33. #35318C2semidirect
34. #34972C2semidirect
35. #34953C2semidirect
36. #34276C2semidirect
37. #34209C2semidirect
38. #34149C2semidirect
39. C2×#2327C2semidirect

Maximal subgroups

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

subgroupindex
C2×#35232
C2×#35162
#591492
#591092
#591062
#590632
#448452
#448432
#447752
#447732
#397442
#396122
#391702
#391622
#380912
#380852
#380812
#378682
#378652
#376752
#363762
#362762
#361842
D4×C4⋊Q82
#356702
#356692
#356222
#353262
#353192
#353182
#349722
#349532
#342762
#342092
#341492
C2×#23272