Finite Group Databasebeta

← #7655438

Subgroups — #7655438

Order 512.

6815 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Q8×#41C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic
3#42888C211yesmaximal, characteristic, complemented
4#42884C211yesmaximal, characteristic, complemented
5#42813C211yesmaximal, characteristic, complemented
6#42809C211yesmaximal, characteristic, complemented
7#41412C212yesmaximal, complemented
8#41408C212yesmaximal, complemented
9#40595C212yesmaximal, complemented
10#40591C212yesmaximal, complemented
11#39891C212yesmaximal, complemented
12#39890C212yesmaximal, complemented
13#39859C212yesmaximal, complemented
14#39855C212yesmaximal, complemented
15#38371C214yesmaximal, complemented
16#38370C214yesmaximal, complemented
17#38363C214yesmaximal, complemented
18#38359C214yesmaximal, complemented
19#37557C212yesmaximal, complemented
20#37545C211yesmaximal, characteristic, complemented
21#36219C212yesmaximal, complemented
22#36217C212yesmaximal, complemented
23#36216C212yesmaximal, complemented
24#36215C212yesmaximal, complemented
25#35950C211yesmaximal, characteristic, complemented
26#35939C211yesmaximal, characteristic, complemented
27#35928C211yesmaximal, characteristic, complemented
28#35847C211yesmaximal, characteristic, complemented
29#35325C212yesmaximal, complemented
30#35246C212yesmaximal, complemented
31#35200C211yesmaximal, characteristic, complemented
32#35111C211yesmaximal, characteristic, complemented
33#34971C211yesmaximal, characteristic, complemented
34C2×#2599C212yesmaximal, complemented
35#34195C211yesmaximal, characteristic, complemented
36Q8×#41—216no—
37C2×Q82C2211yescharacteristic, complemented
38C2×#557C2211yescharacteristic, complemented
39C2×#557C2212yescomplemented
40#3475—216no—
41C2×#556C2211yescharacteristic
42C2×#555C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#554C2211yescharacteristic
45C2×#554C2212yes—
46C2×#554C2212yescomplemented
47C2×#554C2214yescomplemented
48C2×#553C2212yes—
49C2×#552C2211yescharacteristic
50C2×#552C2211yescharacteristic
51C2×#552C2212yes—
52C2×#551C2212yes—
53C2×#551C2212yes—
54C2×D4×Q8C2211yescharacteristic
55C2×D4×Q8C2212yescomplemented
56C2×#547C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×#546C2211yescharacteristic
59C2×#533C2211yescharacteristic
60C2×#533C2211yescharacteristic, complemented
61C2×#533C2212yescomplemented
62C2×#533C2212yescomplemented
63C2×#533C2214yescomplemented
64C2×#529C2211yescharacteristic
65C2×#529C2212yes—
66C2×#529C2211yescharacteristic
67C2×#529C2212yes—
68C2×#525C2212yes—
69C2×C4×#41C2212yes—
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73C22×C4×Q8C2211yescharacteristic, complemented
74C22×C4×Q8C2212yescomplemented
75C22×C4×D4C2211yescharacteristic
76C22×#117C2212yes—
77#2855C2212yescomplemented
78#2855C2214yescomplemented
79#2854C2212yes—
80#2853C2214yes—
81#2853C2214yescomplemented
82#2851C2212yes—
83#2851C2212yescomplemented
84#2848C2214yes—
85#2821C2212yescomplemented
86#2821C2212yescomplemented
87#2821C2212yescomplemented
88#2821C2212yescomplemented
89#2814C2212yescomplemented
90#2814C2212yescomplemented
91#2721C2214yescomplemented
92#2721C2214yescomplemented
93#2719C2214yescomplemented
94#2719C2214yescomplemented
95#2716C2214yescomplemented
96#2716C2214yescomplemented
97#2713C2214yescomplemented
98#2713C2214yescomplemented
99#2700C2214yescomplemented
100#2698C2214yescomplemented
101#2694C2214yes—
102#2694C2214yescomplemented
103#2690C2214yes—
104#2690C2214yescomplemented
105#2689C2214yescomplemented
106#2687C2214yes—
107#2681C2214yescomplemented
108#2680C2214yes—
109#2677C2214yes—
110#2677C2214yescomplemented
111#2674C2214yes—
112#2674C2214yescomplemented
113#2674C2214yescomplemented
114#2672C2214yescomplemented
115#2660C2211yescharacteristic, complemented
116#2660C2211yescharacteristic, complemented
117#2659C2212yescomplemented
118#2659C2212yescomplemented
119#2640C2211yescharacteristic
120#2640C2211yescharacteristic
121#2639C2212yes—
122#2639C2212yes—
123#2638C2212yes—
124#2638C2212yescomplemented
125#2638C2214yescomplemented
126#2637C2212yescomplemented
127#2637C2212yescomplemented
128#2637C2212yescomplemented
129#2637C2212yescomplemented
130#2637C2214yescomplemented
131#2634C2214yescomplemented
132#2634C2214yescomplemented
133#2633C2214yescomplemented
134#2632C2214yescomplemented
135#2628C2212yes—
136#2628C2212yescomplemented
137#2623C2212yescomplemented
138#2621C2212yes—
139#2621C2212yescomplemented
140#2614C2212yescomplemented
141#2611C2214yes—
142#2611C2214yescomplemented
143#2604C2214yescomplemented
144#2599C2211yescharacteristic
145#2599C2212yes—
146#2599C2212yes—
147#2599C2212yes—
148#2599C2214yes—
149#2599C2214yes—
150#2599C2211yescharacteristic
151#2599C2212yescomplemented
152#2599C2212yescomplemented
153#2599C2212yescomplemented
154#2599C2212yescomplemented
155#2599C2212yescomplemented
156#2599C2214yescomplemented
157#2599C2214yescomplemented
158#2599C2212yescomplemented
159#2599C2211yescharacteristic, complemented
160#2599C2211yescharacteristic, complemented
161#2599C2212yescomplemented
162#2592C2211yescharacteristic
163#2592C2211yescharacteristic
164#2584C2211yescharacteristic, complemented
165#2584C2211yescharacteristic, complemented
166#2583C2212yescomplemented
167#2583C2212yescomplemented
168#2581C2212yescomplemented
169#2581C2212yescomplemented
170#2580C2212yes—
171#2579C2214yes—
172#2579C2214yescomplemented
173#2567C2211yescharacteristic, complemented
174#2566C2212yes—
175#2565C2212yescomplemented
176#2565C2214yescomplemented
177#2564C2214yes—
178#2564C2214yescomplemented
179#2563C2211yescharacteristic
180#2561C2212yes—
181#2561C2212yes—
182#2552C2212yescomplemented
183#2551C2212yescomplemented
184#2550C2212yescomplemented
185#2550C2212yescomplemented
186#2549C2214yescomplemented
187#2549C2214yescomplemented
188#2547C2211yescharacteristic
189#2546C2211yescharacteristic, complemented
190#2545C2214yescomplemented
191#2536C2212yes—
192#2504C2212yes—
193#2502C2212yescomplemented
194#2500C2212yes—
195#2499C2212yescomplemented
196#2499C2212yescomplemented
197#2498C2214yes—
198#2498C2214yescomplemented
199#2492C2212yes—
200#2491C2212yes—
201#2490C2212yes—
202#2489C2212yes—
203#2488C2214yes—
204#2488C2214yes—
205#2486C2211yescharacteristic
206#2486C2211yescharacteristic, complemented
207#2485C2212yes—
208#2485C2212yescomplemented
209#2484C2214yescomplemented
210#2484C2212yescomplemented
211#2482C2214yes—
212#2472C2214yes—
213#2472C2214yes—
214#2454C2212yes—
215#2453C2212yescomplemented
216#2452C2212yes—
217#2451C2212yescomplemented
218#2450C2214yes—
219#2450C2214yescomplemented
220#2449C2214yes—
221#2449C2214yescomplemented
222#2448C2212yes—
223#2448C2212yes—
224#2446C2212yescomplemented
225#2446C2212yescomplemented
226#2444C2214yes—
227#2444C2214yescomplemented
228#2443C2214yes—
229#2443C2214yescomplemented
230#2442C2212yes—
231#2441C2212yescomplemented
232#2440C2212yes—
233#2440C2214yescomplemented
234#2440C2214yescomplemented
235#2439C2212yescomplemented
236#2438C2214yescomplemented
237#2438C2214yescomplemented
238#2437C2214yes—
239#2437C2214yes—
240#2436C2212yes—
241#2434C2212yescomplemented
242#2432C2212yes—
243#2423C2212yes—
244#2423C2212yescomplemented
245#2421C2212yes—
246#2421C2212yescomplemented
247#2419C2214yescomplemented
248#2419C2214yescomplemented
249#2418C2214yes—
250#2418C2214yes—
251#2409C2211yescharacteristic
252#2409C2211yescharacteristic, complemented
253#2406C2212yes—
254#2399C2211yescharacteristic, complemented
255#2399C2211yescharacteristic, complemented
256#2398C2211yescharacteristic
257#2398C2211yescharacteristic
258C2×#398C2212yescomplemented
259C2×#397C2212yes—
260C2×#395C2212yescomplemented
261C2×#393C2212yes—
262#2356C2212yescomplemented
263#2353C2214yescomplemented
264#2349C2212yes—
265#2349C2212yes—
266#2349C2212yes—
267D4×C4⋊C4C2212yes—
268D4×C4⋊C4C2212yes—
269#2347C2212yescomplemented
270#2343C2214yescomplemented
271#2339C2212yes—
272#2339C2212yes—
273#2339C2212yes—
274D4×C22⋊C4C2212yes—
275D4×C22⋊C4C2212yes—
276#2327C2212yescomplemented
277#2327C2214yescomplemented
278#2326C2212yes—
279#2326C2214yescomplemented
280#2323C2214yes—
281#2323C2214yescomplemented
282#2322C2214yescomplemented
283#2320C2211yescharacteristic, complemented
284#2320C2211yescharacteristic, complemented
285#2318C2212yescomplemented
286#2318C2212yescomplemented
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2212yescomplemented
289C4×#123C2212yes—
290C4×#123C2212yescomplemented
291C2×#388C2214yes—
292C2×#387C2214yescomplemented
293C2×#387C2214yescomplemented
294C2×#385C2214yes—
295#2283C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297#2283C2212yescomplemented
298C2×#383C2212yescomplemented
299#2275C2211yescharacteristic
300#2275C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308Q82—28no—
309#557—28no—
310#557—216no—
311#556—28no—
312#555—28no—
313#554—28no—
314#554—216no—
315#554—28no—
316#554—232no—
317#554—216no—
318#553—216no—
319#552—28no—
320#552—216no—
321#552—28no—
322#551—216no—
323#551—216no—
324D4×Q8—28no—
325D4×Q8—216no—
326#547—28no—
327#546—28no—
328#546—28no—
329#533—28no—
330#533—232no—
331#533—216no—
332#533—216no—
333#533—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2312yes—
346#529—28no—
347#529—216no—
348#529—216no—
349#529—28no—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2311yescharacteristic
359C2×#125C2314yes—
360C2×#125C2312yes—
361C2×#125C2311yescharacteristic
362C2×#125C2312yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#124C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372C2×#124C2314yes—
373#525—216no—
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2311yescharacteristic
415C2×#120C2312yes—
416C2×#120C2312yes—
417C4×#41—216no—
418C4×#41—28no—
419C4×#41—28no—
420C4×#41D4116yes—
421C2×C4×Q8—216no—
422C2×C4×Q8—28no—
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2314yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2314yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2314yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×D4—28no—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×#117—216no—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2311yescharacteristic
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2311yescharacteristic
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2311yescharacteristic
483C2×#117C2314yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2311yescharacteristic
487C2×#117C2312yes—
488C2×#117C2311yescharacteristic
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2314yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2311yescharacteristic
496C22×C4⋊C4C2314yes—
497C22×C4⋊C4C2314yes—
498C22×C22⋊C4C2312yes—
499C22×C22⋊C4C2312yes—
500C22×C22⋊C4C2312yes—
501C22×C22⋊C4C2314yes—
502C22×C22⋊C4C2314yes—
503C22×C42C2311yescharacteristic
504C22×C42C2311yescharacteristic
505C22×C42C2314yes—
506C22×C42C2312yes—
507C22×C42C2312yes—
508C22×C42C2312yes—
509C22×C42C2311yescharacteristic
510#400C2314yes—
511#400C2314yes—
512#400C2314yes—
513#400C2314yes—
514#400C2314yes—
515#400C2312yes—
516#400C2312yes—
517#400C2314yes—
518#400C2314yes—
519#400C2314yes—
520#400C2314yes—
521#399C2314yes—
522#399C2314yes—
523#399C2314yes—
524#399C2314yes—
525#399C2314yes—
526#399C2314yes—
527#399C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2311yescharacteristic
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2314yes—
539#398C2314yes—
540#398C2311yescharacteristic
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2311yescharacteristic
545#398C2314yes—
546#398C2314yes—
547#398C2311yescharacteristic
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2312yes—
554#398C2312yes—
555#397C2311yescharacteristic
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2311yescharacteristic
560#397C2312yes—
561#397C2312yes—
562#397C2314yes—
563#397C2314yes—
564#397C2312yes—
565#397C2311yescharacteristic
566#397C2314yes—
567#397C2314yes—
568#397C2311yescharacteristic
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#395C2314yes—
583#395C2314yes—
584#395C2311yescharacteristic
585#395C2312yes—
586#395C2312yes—
587#395C2312yes—
588#395C2312yes—
589#395C2314yes—
590#395C2312yes—
591#395C2312yes—
592#395C2311yescharacteristic
593#395C2312yes—
594#395C2312yes—
595#395C2311yescharacteristic
596#395C2314yes—
597#395C2314yes—
598#395C2311yescharacteristic
599#395C2314yes—
600#395C2314yes—
601#395C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2312yes—
609#394C2312yes—
610#393C2311yescharacteristic
611#393C2312yes—
612#393C2312yes—
613#393C2312yes—
614#393C2312yes—
615#393C2314yes—
616#393C2314yes—
617#393C2311yescharacteristic
618#393C2312yes—
619#393C2314yes—
620#393C2312yes—
621#393C2311yescharacteristic
622#393C2314yes—
623#393C2314yes—
624#393C2311yescharacteristic
625#393C2314yes—
626#391C2314yes—
627#391C2314yes—
628#391C2312yes—
629#391C2312yes—
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2314yes—
634#391C2314yes—
635#391C2312yes—
636#391C2312yes—
637#391C2312yes—
638#391C2312yes—
639#391C2312yes—
640#391C2314yes—
641#391C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2314yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#389C2314yes—
658#389C2314yes—
659#389C2314yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2312yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2312yes—
694#387C2312yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2312yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2312yes—
710#387C2314yes—
711#387C2312yes—
712#387C2312yes—
713#387C2312yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2312yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2312yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2312yes—
766#385C2314yes—
767#385C2312yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2312yes—
773#385C2312yes—
774#384C2314yes—
775#384C2312yes—
776#384C2312yes—
777#384C2312yes—
778#383C2312yes—
779#383C2312yes—
780#383C2314yes—
781#383C2311yescharacteristic
782#383C2312yes—
783#383C2311yescharacteristic
784#383C2314yes—
785#382C2312yes—
786#382C2314yes—
787#382C2312yes—
788#382C2312yes—
789#382C2312yes—
790#382C2312yes—
791#382C2312yes—
792#382C2312yes—
793#381C2314yes—
794#381C2314yes—
795#381C2312yes—
796#381C2314yes—
797#381C2314yes—
798#381C2312yes—
799#381C2312yes—
800#381C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2314yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2311yescharacteristic
808#380C2311yescharacteristic
809#380C2314yes—
810#380C2314yes—
811#380C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#379C2314yes—
818#379C2314yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839#376C2311yescharacteristic
840#376C2311yescharacteristic
841#376C2312yes—
842#376C2314yes—
843C2×#95C2314yes—
844C2×#95C2312yes—
845C2×#95C2312yes—
846C2×#95C2314yes—
847C2×#95C2314yes—
848C2×#95C2314yes—
849C2×#95C2314yes—
850C2×#95C2314yes—
851C25C2412yes—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41C2×D418yes—
859C22×Q8—28no—
860C22×Q8—24no—
861C22×Q8—48no—
862C22×Q8—44no—
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2414yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2414yes—
872C22×Q8C2412yes—
873C22×Q8C2412yes—
874C22×D4—24no—
875C22×D4—28no—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C23×C4—28no—
887C23×C4—44no—
888C23×C4—44no—
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2414yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2414yes—
903C23×C4C2414yes—
904C23×C4C2414yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C4⋊Q8—24no—
914C4⋊Q8—28no—
915C4⋊Q8—216no—
916C4⋊Q8—24no—
917C4⋊Q8—28no—
918C4⋊Q8—216no—
919C4⋊Q8—28no—
920C4⋊Q8—24no—
921C4⋊Q8—28no—
922C4⋊Q8—24no—
923C4⋊Q8—44no—
924C4⋊Q8—48no—
925#126—28no—
926#126—28no—
927#126—28no—
928#126—28no—
929#126—28no—
930#126—28no—
931#125—28no—
932#125—24no—
933#125—28no—
934#125—28no—
935#125—28no—
936#125—216no—
937#125—216no—
938#125—28no—
939#125—24no—
940#125—28no—
941#125—216no—
942#124—24no—
943#124—28no—
944#124—24no—
945#124—28no—
946#124—44no—
947#124—48no—
948#123—28no—
949#123—28no—
950#123—28no—
951#123—28no—
952#123—28no—
953#123—28no—
954#123—28no—
955#123—28no—
956#123—44no—
957#123—48no—
958#123—44no—
959C22⋊Q8—24no—
960C22⋊Q8—24no—
961C22⋊Q8—24no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—216no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—24no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—216no—
974C22⋊Q8—216no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—216no—
979C22⋊Q8—48no—
980C22⋊Q8—44no—
981C22⋊Q8—44no—
982C22⋊Q8—48no—
983#121—28no—
984#121—28no—
985#121—28no—
986#121—24no—
987#121—24no—
988#121—28no—
989#120—28no—
990#120—28no—
991C4×Q8—28no—
992C4×Q8—28no—
993C4×Q8—24no—
994C4×Q8—24no—
995C4×Q8—216no—
996C4×Q8—28no—
997C4×Q8—28no—
998C4×Q8—24no—
999C4×Q8—28no—
1000C4×Q8—24no—
1001C4×Q8—28no—
1002C4×Q8—24no—
1003C4×Q8—28no—
1004C4×Q8—216no—
1005C4×Q8—24no—
1006C4×Q8—24no—
1007C4×Q8—24no—
1008C4×Q8—28no—
1009C4×Q8—216no—
1010C4×Q8—28no—
1011C4×Q8C2×D418yes—
1012C4×Q8C2×D418yes—
1013C4×D4—24no—
1014C4×D4—24no—
1015C4×D4—216no—
1016C4×D4—28no—
1017C4×D4—216no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—24no—
1024C4×D4—24no—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—28no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—24no—
1032C4×D4—24no—
1033C4×D4—24no—
1034C4×D4—28no—
1035C4×D4C2×D418yes—
1036C4×D4C2×D4116yes—
1037C4×D4C2×D418yes—
1038C4×D4C2×D4116yes—
1039#117—24no—
1040#117—216no—
1041#117—28no—
1042#117—24no—
1043#117—28no—
1044#117—24no—
1045#117—28no—
1046#117—28no—
1047#117—28no—
1048#117—28no—
1049#117—28no—
1050#117—28no—
1051#117—28no—
1052#117—24no—
1053#117C2×D4116yes—
1054#117C2×D418yes—
1055C2×C4⋊C4—28no—
1056C2×C4⋊C4—28no—
1057C2×C4⋊C4—216no—
1058C2×C4⋊C4—28no—
1059C2×C4⋊C4—28no—
1060C2×C4⋊C4—24no—
1061C2×C4⋊C4—24no—
1062C2×C4⋊C4—48no—
1063C2×C4⋊C4—48no—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C22⋊C4—28no—
1138C2×C22⋊C4—28no—
1139C2×C22⋊C4—28no—
1140C2×C22⋊C4—48no—
1141C2×C22⋊C4—48no—
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C42—28no—
1195C2×C42—216no—
1196C2×C42—28no—
1197C2×C42—24no—
1198C2×C42—24no—
1199C2×C42C2×D4116yes—
1200C2×C42C2×D418yes—
1201C2×C42C2412yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2412yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2412yes—
1213C2×C42C2414yes—
1214C2×C42C2412yes—
1215C2×C42C2414yes—
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2414yes—
1221C2×C42C2412yes—
1222C2×C42C2414yes—
1223C2×C42C2412yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2412yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293C24—24no—
1294C24—24no—
1295C24—28no—
1296C24—44no—
1297C24—42no—
1298C24C2512yes—
1299C24C2511yescharacteristic
1300C24C2511yescharacteristic
1301C24C2511yescharacteristic
1302C24C2512yes—
1303#41—232no—
1304#41—416no—
1305#41—416no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—24no—
1310C2×Q8—28no—
1311C2×Q8—24no—
1312C2×Q8—22no—
1313C2×Q8—24no—
1314C2×Q8—28no—
1315C2×Q8—24no—
1316C2×Q8—24no—
1317C2×Q8—24no—
1318C2×Q8—24no—
1319C2×Q8—24no—
1320C2×Q8—28no—
1321C2×Q8—22no—
1322C2×Q8—44no—
1323C2×Q8—42no—
1324C2×Q8—44no—
1325C2×Q8—42no—
1326C2×Q8—41no—
1327C2×Q8—44no—
1328C2×Q8—44no—
1329C2×Q8—42no—
1330C2×Q8—42no—
1331C2×Q8—44no—
1332C2×Q8—416no—
1333C2×Q8—432no—
1334C2×Q8C22×D414yes—
1335C2×D4—28no—
1336C2×D4—22no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—24no—
1340C2×D4—28no—
1341C2×D4—28no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—22no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—416no—
1356C2×D4C22×D418yes—
1357C2×D4C22×D414yes—
1358C2×D42−1+418yes—
1359C22×C4—28no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—28no—
1367C22×C4—24no—
1368C22×C4—28no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—28no—
1373C22×C4—28no—
1374C22×C4—28no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—28no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—44no—
1397C22×C4—42no—
1398C22×C4—44no—
1399C22×C4—42no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—432no—
1416C22×C4C22×D418yes—
1417C22×C4C22×D414yes—
1418C22×C4C22×D418yes—
1419C22×C4C22×D418yes—
1420C22×C4C22×D414yes—
1421C22×C4C22×D414yes—
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2514yes—
1426C22×C4C2514yes—
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2512yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2514yes—
1435C22×C4C2512yes—
1436C22×C4C2514yes—
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—28no—
1469C4⋊C4—24no—
1470C4⋊C4—28no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—28no—
1490C4⋊C4—28no—
1491C4⋊C4—24no—
1492C4⋊C4—28no—
1493C4⋊C4—28no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—28no—
1500C4⋊C4—28no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4C22×D414yes—
1522C4⋊C4C22×D414yes—
1523C4⋊C4C22×D418yes—
1524C4⋊C4C22×D418yes—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—22no—
1528C22⋊C4—28no—
1529C22⋊C4—28no—
1530C22⋊C4—28no—
1531C22⋊C4—22no—
1532C22⋊C4—24no—
1533C22⋊C4—28no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—28no—
1537C22⋊C4—24no—
1538C22⋊C4—22no—
1539C22⋊C4—22no—
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—22no—
1549C22⋊C4—24no—
1550C22⋊C4—22no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4C22×D418yes—
1575C22⋊C4C22×D418yes—
1576C22⋊C4C22×D418yes—
1577C42—22no—
1578C42—24no—
1579C42—24no—
1580C42—22no—
1581C42—24no—
1582C42—24no—
1583C42—22no—
1584C42—28no—
1585C42—24no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—28no—
1590C42—24no—
1591C42—28no—
1592C42—24no—
1593C42—24no—
1594C42—24no—
1595C42—42no—
1596C42—44no—
1597C42—44no—
1598C42—42no—
1599C42C22×D414yes—
1600C42C22×D414yes—
1601C42C22×D418yes—
1602C42C22×D418yes—
1603C42C22×D418yes—
1604C42C22×D414yes—
1605C42C22×D414yes—
1606C23—24no—
1607C23—22no—
1608C23—22no—
1609C23—21no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—22no—
1618C23—21no—
1619C23—22no—
1620C23—24no—
1621C23—22no—
1622C23—24no—
1623C23—22no—
1624C23—22no—
1625C23—21no—
1626C23—21no—
1627C23—48no—
1628C23—416no—
1629C23—48no—
1630C23—88no—
1631C23—84no—
1632C23C23×D412yes—
1633C23C23×D414yes—
1634C23C2×2−1+418yes—
1635C23#58512yes—
1636C23C2611yescharacteristic
1637Q8—28no—
1638Q8—28no—
1639Q8—48no—
1640Q8—416no—
1641Q8—44no—
1642Q8—48no—
1643Q8—44no—
1644Q8—44no—
1645Q8—88no—
1646Q8—84no—
1647Q8—84no—
1648D4—216no—
1649D4—44no—
1650D4—44no—
1651D4—44no—
1652D4—48no—
1653D4—48no—
1654D4—44no—
1655D4—84no—
1656D4—84no—
1657D4#536116yes—
1658C2×C4—28no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—216no—
1675C2×C4—28no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—24no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—48no—
1728C2×C4—44no—
1729C2×C4—48no—
1730C2×C4—44no—
1731C2×C4—48no—
1732C2×C4—48no—
1733C2×C4—48no—
1734C2×C4—416no—
1735C2×C4—48no—
1736C2×C4—48no—
1737C2×C4—44no—
1738C2×C4—48no—
1739C2×C4—44no—
1740C2×C4—44no—
1741C2×C4—82no—
1742C2×C4—82no—
1743C2×C4—88no—
1744C2×C4—88no—
1745C2×C4—84no—
1746C2×C4—88no—
1747C2×C4—84no—
1748C2×C4C23×D412yes—
1749C2×C4C23×D412yes—
1750C2×C4C23×D414yes—
1751C2×C4C23×D414yes—
1752C2×C4C23×D412yes—
1753C2×C4C23×D412yes—
1754C2×C4C23×D412yes—
1755C2×C4C23×D414yes—
1756C2×C4C23×D412yes—
1757C2×C4C2×2−1+414yes—
1758C2×C4#58514yes—
1759C2×C4#58512yes—
1760C22—28no—
1761C22—28no—
1762C22—24no—
1763C22—24no—
1764C22—24no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—41no—
1773C22—41no—
1774C22—42no—
1775C22—44no—
1776C22—42no—
1777C22—44no—
1778C22—42no—
1779C22—41no—
1780C22—41no—
1781C22—42no—
1782C22—41no—
1783C22—42no—
1784C22—816no—
1785C22C2×#53618yes—
1786C22C24×D411yescharacteristic
1787C22C22×2−1+412yes—
1788C22C2×#58511yescharacteristic
1789C22C2×#58512yes—
1790C22C2×#58511yescharacteristic
1791C4—22no—
1792C4—22no—
1793C4—22no—
1794C4—24no—
1795C4—24no—
1796C4—22no—
1797C4—22no—
1798C4—24no—
1799C4—22no—
1800C4—24no—
1801C4—42no—
1802C4—44no—
1803C4—42no—
1804C4—42no—
1805C4—44no—
1806C4—42no—
1807C4—42no—
1808C4—41no—
1809C4—44no—
1810C4—42no—
1811C4—41no—
1812C4—42no—
1813C4—42no—
1814C4—41no—
1815C4—44no—
1816C4—42no—
1817C4—41no—
1818C4—41no—
1819C4—42no—
1820C4C2×#53614yes—
1821C2—28no—
1822C2—42no—
1823C2—42no—
1824C2—81no—
1825C2—82no—
1826C2C22×#53611yescharacteristic
1827C2#6281111yescharacteristic
1828C2#6281111yescharacteristic
1829C2#6302312yes—
1830C2#6302512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3475C2
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×Q8×#41C2semidirect
3. #42888C2semidirect
4. #42884C2semidirect
5. #42813C2semidirect
6. #42809C2semidirect
7. #41412C2semidirect
8. #41408C2semidirect
9. #40595C2semidirect
10. #40591C2semidirect
11. #39891C2semidirect
12. #39890C2semidirect
13. #39859C2semidirect
14. #39855C2semidirect
15. #38371C2semidirect
16. #38370C2semidirect
17. #38363C2semidirect
18. #38359C2semidirect
19. #37557C2semidirect
20. #37545C2semidirect
21. #36219C2semidirect
22. #36217C2semidirect
23. #36216C2semidirect
24. #36215C2semidirect
25. #35950C2semidirect
26. #35939C2semidirect
27. #35928C2semidirect
28. #35847C2semidirect
29. #35325C2semidirect
30. #35246C2semidirect
31. #35200C2semidirect
32. #35111C2semidirect
33. #34971C2semidirect
34. C2×#2599C2semidirect
35. #34195C2semidirect
37. C2×Q82C22semidirect
38. C2×#557C22semidirect
39. C2×#557C22semidirect
46. C2×#554C22semidirect
47. C2×#554C22semidirect
55. C2×D4×Q8C22semidirect
60. C2×#533C22semidirect
61. C2×#533C22semidirect
62. C2×#533C22semidirect
63. C2×#533C22semidirect
73. C22×C4×Q8C22semidirect
74. C22×C4×Q8C22semidirect
77. #2855C22semidirect
78. #2855C22semidirect
81. #2853C22semidirect
83. #2851C22semidirect
85. #2821C22semidirect
86. #2821C22semidirect
87. #2821C22semidirect
88. #2821C22semidirect
89. #2814C22semidirect
90. #2814C22semidirect
91. #2721C22semidirect
92. #2721C22semidirect
93. #2719C22semidirect
94. #2719C22semidirect
95. #2716C22semidirect
96. #2716C22semidirect
97. #2713C22semidirect
98. #2713C22semidirect
99. #2700C22semidirect
100. #2698C22semidirect
102. #2694C22semidirect
104. #2690C22semidirect
105. #2689C22semidirect
107. #2681C22semidirect
110. #2677C22semidirect
112. #2674C22semidirect
113. #2674C22semidirect
114. #2672C22semidirect
115. #2660C22semidirect
116. #2660C22semidirect
117. #2659C22semidirect
118. #2659C22semidirect
124. #2638C22semidirect
125. #2638C22semidirect
126. #2637C22semidirect
127. #2637C22semidirect
128. #2637C22semidirect
129. #2637C22semidirect
130. #2637C22semidirect
131. #2634C22semidirect
132. #2634C22semidirect
133. #2633C22semidirect
134. #2632C22semidirect
136. #2628C22semidirect
137. #2623C22semidirect
139. #2621C22semidirect
140. #2614C22semidirect
142. #2611C22semidirect
143. #2604C22semidirect
151. #2599C22semidirect
152. #2599C22semidirect
153. #2599C22semidirect
154. #2599C22semidirect
155. #2599C22semidirect
156. #2599C22semidirect
157. #2599C22semidirect
158. #2599C22semidirect
159. #2599C22semidirect
160. #2599C22semidirect
161. #2599C22semidirect
164. #2584C22semidirect
165. #2584C22semidirect
166. #2583C22semidirect
167. #2583C22semidirect
168. #2581C22semidirect
169. #2581C22semidirect
172. #2579C22semidirect
173. #2567C22semidirect
175. #2565C22semidirect
176. #2565C22semidirect
178. #2564C22semidirect
182. #2552C22semidirect
183. #2551C22semidirect
184. #2550C22semidirect
185. #2550C22semidirect
186. #2549C22semidirect
187. #2549C22semidirect
189. #2546C22semidirect
190. #2545C22semidirect
193. #2502C22semidirect
195. #2499C22semidirect
196. #2499C22semidirect
198. #2498C22semidirect
206. #2486C22semidirect
208. #2485C22semidirect
209. #2484C22semidirect
210. #2484C22semidirect
215. #2453C22semidirect
217. #2451C22semidirect
219. #2450C22semidirect
221. #2449C22semidirect
224. #2446C22semidirect
225. #2446C22semidirect
227. #2444C22semidirect
229. #2443C22semidirect
231. #2441C22semidirect
233. #2440C22semidirect
234. #2440C22semidirect
235. #2439C22semidirect
236. #2438C22semidirect
237. #2438C22semidirect
241. #2434C22semidirect
244. #2423C22semidirect
246. #2421C22semidirect
247. #2419C22semidirect
248. #2419C22semidirect
252. #2409C22semidirect
254. #2399C22semidirect
255. #2399C22semidirect
258. C2×#398C22semidirect
260. C2×#395C22semidirect
262. #2356C22semidirect
263. #2353C22semidirect
269. #2347C22semidirect
270. #2343C22semidirect
276. #2327C22semidirect
277. #2327C22semidirect
279. #2326C22semidirect
281. #2323C22semidirect
282. #2322C22semidirect
283. #2320C22semidirect
284. #2320C22semidirect
285. #2318C22semidirect
286. #2318C22semidirect
288. C4×C22⋊Q8C22semidirect
290. C4×#123C22semidirect
292. C2×#387C22semidirect
293. C2×#387C22semidirect
295. #2283C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
298. C2×#383C22semidirect

Maximal subgroups

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

subgroupindex
C2×Q8×#412
C2×#34752
#428882
#428842
#428132
#428092
#414122
#414082
#405952
#405912
#398912
#398902
#398592
#398552
#383712
#383702
#383632
#383592
#375572
#375452
#362192
#362172
#362162
#362152
#359502
#359392
#359282
#358472
#353252
#352462
#352002
#351112
#349712
C2×#25992
#341952