Finite Group Databasebeta

← #7657291

Subgroups — #7657291

Order 512.

6662 conjugacy classes of subgroups.

The subgroup lattice has 1869 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3510C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#42317C212yesmaximal, complemented
4#42309C212yesmaximal, complemented
5#42295C212yesmaximal, complemented
6#42174C212yesmaximal, complemented
7#42170C212yesmaximal, complemented
8#42156C212yesmaximal, complemented
9#41947C212yesmaximal, complemented
10#41933C212yesmaximal, complemented
11#41421C212yesmaximal, complemented
12#41409C212yesmaximal, complemented
13#40607C212yesmaximal, complemented
14#40595C212yesmaximal, complemented
15#39847C214yesmaximal, complemented
16#38375C214yesmaximal, complemented
17#38360C214yesmaximal, complemented
18#37606C211yesmaximal, characteristic, complemented
19#37560C211yesmaximal, characteristic, complemented
20#37558C211yesmaximal, characteristic, complemented
21#37557C211yesmaximal, characteristic, complemented
22#37557C211yesmaximal, characteristic, complemented
23#37543C211yesmaximal, characteristic, complemented
24#36224C214yesmaximal, complemented
25#36086C212yesmaximal, complemented
26#36061C212yesmaximal, complemented
27#35940C212yesmaximal, complemented
28#35753C212yesmaximal, complemented
29#35248C211yesmaximal, characteristic, complemented
30#35245C211yesmaximal, characteristic, complemented
31#35144C211yesmaximal, characteristic, complemented
32#34636C211yesmaximal, characteristic, complemented
33#34602C211yesmaximal, characteristic, complemented
34C2×#2632C211yesmaximal, characteristic, complemented
35#34195C211yesmaximal, characteristic, complemented
36#3510—216no—
37#3482—216no—
38C2×#559C2212yes—
39C2×#559C2212yes—
40C2×#557C2211yescharacteristic, complemented
41C2×#556C2212yes—
42C2×#556C2212yes—
43C2×#556C2212yescomplemented
44C2×#556C2211yescharacteristic, complemented
45C2×#552C2212yes—
46C2×#552C2211yescharacteristic
47C2×#552C2212yescomplemented
48C2×#552C2211yescharacteristic, complemented
49C2×#551C2212yes—
50C2×#551C2212yes—
51C2×#551C2212yes—
52C2×#551C2212yes—
53C2×D4×Q8C2211yescharacteristic
54C2×#548C2211yescharacteristic
55C2×#548C2211yescharacteristic, complemented
56C2×#547C2212yes—
57C2×#547C2211yescharacteristic
58C2×#542C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#542C2211yescharacteristic
61C2×#542C2211yescharacteristic
62C2×#536C2211yescharacteristic
63C2×#535C2211yescharacteristic
64C2×#533C2211yescharacteristic
65C2×#533C2211yescharacteristic, complemented
66C2×#533C2212yescomplemented
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2212yes—
73C2×#529C2211yescharacteristic, complemented
74C2×#529C2212yescomplemented
75C22×#124C2211yescharacteristic
76C2×#519C2211yescharacteristic
77C2×#518C2211yescharacteristic
78C2×C4×#41C2212yes—
79C2×C4×#41C2211yescharacteristic
80C2×C4×#41C2211yescharacteristic, complemented
81C22×C4×Q8C2211yescharacteristic
82C22×C4×Q8C2211yescharacteristic, complemented
83#2855C2214yes—
84#2853C2214yescomplemented
85#2852C2214yescomplemented
86#2821C2212yescomplemented
87#2821C2212yescomplemented
88#2821C2212yescomplemented
89#2821C2212yescomplemented
90#2820C2212yes—
91#2819C2212yes—
92#2817C2212yescomplemented
93#2816C2212yes—
94#2814C2212yescomplemented
95#2814C2212yescomplemented
96#2813C2212yes—
97#2813C2212yescomplemented
98#2734C2214yescomplemented
99#2731C2214yes—
100#2730C2214yes—
101#2729C2214yescomplemented
102#2727C2214yescomplemented
103#2725C2214yescomplemented
104#2723C2214yescomplemented
105#2717C2214yescomplemented
106#2716C2214yescomplemented
107#2715C2214yescomplemented
108#2712C2214yescomplemented
109#2710C2214yescomplemented
110#2709C2214yes—
111#2706C2214yescomplemented
112#2704C2214yescomplemented
113#2702C2214yescomplemented
114#2695C2214yescomplemented
115#2692C2214yescomplemented
116#2687C2214yescomplemented
117#2686C2214yescomplemented
118#2677C2214yescomplemented
119#2674C2214yescomplemented
120#2673C2214yes—
121#2672C2214yescomplemented
122#2664C2212yescomplemented
123#2663C2212yescomplemented
124#2663C2212yescomplemented
125#2663C2212yescomplemented
126#2662C2212yes—
127#2662C2212yes—
128#2662C2212yescomplemented
129#2661C2212yes—
130#2659C2212yes—
131#2659C2212yescomplemented
132#2639C2212yes—
133#2639C2212yes—
134#2638C2212yescomplemented
135#2638C2212yescomplemented
136#2637C2214yescomplemented
137#2637C2212yescomplemented
138#2637C2212yescomplemented
139#2636C2212yes—
140#2636C2212yescomplemented
141#2635C2212yes—
142#2635C2212yescomplemented
143#2634C2211yescharacteristic, complemented
144#2634C2211yescharacteristic, complemented
145#2634C2212yescomplemented
146#2634C2211yescharacteristic, complemented
147#2634C2211yescharacteristic, complemented
148#2634C2211yescharacteristic, complemented
149#2634C2211yescharacteristic, complemented
150#2634C2212yescomplemented
151#2633C2212yes—
152#2633C2211yescharacteristic, complemented
153#2633C2211yescharacteristic, complemented
154#2632C2211yescharacteristic
155#2632C2212yes—
156#2632C2211yescharacteristic
157#2632C2212yes—
158#2632C2211yescharacteristic
159#2632C2214yes—
160#2632C2212yes—
161#2632C2211yescharacteristic
162#2632C2212yes—
163#2632C2211yescharacteristic
164#2632C2211yescharacteristic
165#2632C2212yescomplemented
166#2631C2211yescharacteristic
167#2631C2211yescharacteristic
168#2630C2214yescomplemented
169#2628C2212yescomplemented
170#2628C2212yescomplemented
171#2627C2212yescomplemented
172#2623C2212yescomplemented
173#2618C2212yes—
174#2614C2212yes—
175#2614C2212yescomplemented
176#2613C2212yes—
177#2611C2212yescomplemented
178#2610C2214yes—
179#2610C2212yescomplemented
180#2609C2214yescomplemented
181#2604C2212yescomplemented
182#2604C2214yescomplemented
183#2604C2212yescomplemented
184#2604C2212yescomplemented
185#2603C2212yes—
186#2602C2214yescomplemented
187#2601C2214yescomplemented
188#2600C2214yescomplemented
189#2599C2212yescomplemented
190#2599C2212yescomplemented
191#2599C2214yescomplemented
192#2599C2214yescomplemented
193#2598C2212yes—
194#2598C2212yescomplemented
195#2591C2212yes—
196#2584C2212yescomplemented
197#2583C2212yescomplemented
198#2581C2212yescomplemented
199#2581C2212yescomplemented
200#2581C2212yescomplemented
201#2568C2212yescomplemented
202#2564C2214yes—
203#2564C2212yescomplemented
204#2564C2212yescomplemented
205#2564C2212yescomplemented
206#2562C2212yes—
207#2561C2212yes—
208#2560C2214yescomplemented
209#2557C2214yescomplemented
210#2556C2214yescomplemented
211#2553C2214yescomplemented
212#2546C2212yescomplemented
213#2543C2212yes—
214#2539C2212yes—
215#2536C2212yes—
216#2534C2214yes—
217#2534C2214yes—
218#2521C2214yescomplemented
219#2519C2214yescomplemented
220#2503C2212yes—
221#2498C2212yes—
222#2498C2212yes—
223#2498C2212yescomplemented
224#2498C2214yescomplemented
225#2491C2214yescomplemented
226#2487C2212yescomplemented
227#2486C2214yes—
228#2485C2214yescomplemented
229#2484C2212yes—
230#2484C2212yes—
231#2479C2214yescomplemented
232#2477C2214yescomplemented
233#2474C2214yescomplemented
234#2470C2214yescomplemented
235#2469C2214yescomplemented
236#2469C2214yescomplemented
237#2467C2214yes—
238#2465C2214yescomplemented
239#2465C2214yescomplemented
240#2463C2214yes—
241#2462C2214yescomplemented
242#2462C2214yescomplemented
243#2460C2214yes—
244#2460C2214yes—
245#2459C2214yescomplemented
246#2455C2214yescomplemented
247#2452C2214yescomplemented
248#2438C2214yes—
249#2437C2214yes—
250#2434C2212yes—
251#2430C2212yescomplemented
252#2425C2214yes—
253#2424C2214yes—
254#2419C2214yes—
255#2418C2214yes—
256#2413C2214yes—
257#2412C2214yes—
258#2409C2212yescomplemented
259#2406C2214yes—
260#2404C2214yes—
261#2399C2212yescomplemented
262#2398C2212yes—
263#2396C2212yescomplemented
264#2396C2212yescomplemented
265#2396C2212yescomplemented
266#2395C2212yescomplemented
267C2×#399C2212yes—
268#2392C2212yes—
269#2388C2212yescomplemented
270C2×#395C2212yes—
271C2×#394C2212yes—
272C2×#393C2212yes—
273#2359C2214yes—
274#2358C2214yes—
275#2356C2212yescomplemented
276#2353C2212yes—
277#2353C2212yescomplemented
278#2349C2212yes—
279#2347C2212yescomplemented
280#2344C2214yes—
281#2343C2212yes—
282#2343C2212yescomplemented
283#2342C2214yes—
284#2339C2212yes—
285#2327C2214yescomplemented
286#2325C2214yescomplemented
287#2323C2214yescomplemented
288#2320C2212yescomplemented
289#2318C2212yes—
290#2318C2212yescomplemented
291C4×#123C2214yescomplemented
292#2290C2214yescomplemented
293C2×#388C2214yes—
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297#2283C2211yescharacteristic, complemented
298C2×#383C2211yescharacteristic
299C2×#383C2211yescharacteristic, complemented
300#2275C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×D4C2311yescharacteristic
308#559—216no—
309#559—216no—
310#557—28no—
311#556—216no—
312#556—216no—
313#556—28no—
314#556—216no—
315#552—28no—
316#552—28no—
317#552—216no—
318#552—216no—
319#551—216no—
320#551—216no—
321#551—216no—
322#551—216no—
323D4×Q8—28no—
324#548—28no—
325#548—28no—
326#547—216no—
327#547—28no—
328#542—28no—
329#542—28no—
330#542—28no—
331#542—28no—
332#536—28no—
333#535—28no—
334#533—216no—
335#533—28no—
336#533—28no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2314yes—
345C2×#127C2312yes—
346#529—216no—
347#529—216no—
348#529—28no—
349#529—28no—
350#529—28no—
351#529—28no—
352#529—28no—
353#529—28no—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2312yes—
368C2×#125C2312yes—
369C2×#125C2311yescharacteristic
370C2×#125C2311yescharacteristic
371C2×#125C2311yescharacteristic
372C2×#125C2311yescharacteristic
373C2×#125C2312yes—
374C2×#125C2312yes—
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#124—28no—
378C2×#124C2311yescharacteristic
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2311yescharacteristic
382C2×#124C2311yescharacteristic
383C2×#124C2311yescharacteristic
384C2×#124C2311yescharacteristic
385C2×#124C2311yescharacteristic
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#124C2312yes—
389C2×#124C2312yes—
390C2×#124C2312yes—
391C2×#124C2312yes—
392C2×#124C2312yes—
393C2×#124C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2314yes—
411C2×#123C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2314yes—
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×#121C2311yescharacteristic
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2314yes—
443C2×#120C2312yes—
444C2×#120C2312yes—
445C2×#120C2314yes—
446#519—28no—
447#518—28no—
448C4×#41—216no—
449C4×#41—28no—
450C4×#41D4116yescomplemented
451C2×C4×Q8—28no—
452C2×C4×Q8—28no—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2312yes—
474C2×C4×Q8C2312yes—
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2314yes—
497C2×C4×D4C2314yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2311yescharacteristic
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C2×#117C2312yes—
513C2×#117C2311yescharacteristic
514C2×#117C2312yes—
515C2×#117C2312yes—
516C2×#117C2311yescharacteristic
517C2×#117C2312yes—
518C2×#117C2311yescharacteristic
519C2×#117C2312yes—
520C2×#117C2311yescharacteristic
521C2×#117C2311yescharacteristic
522C2×#117C2311yescharacteristic
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2311yescharacteristic
527C22×C4⋊C4C2314yes—
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2312yes—
530C22×C22⋊C4C2312yes—
531C22×C22⋊C4C2312yes—
532C22×C22⋊C4C2314yes—
533C22×C22⋊C4C2314yes—
534C22×C42C2312yes—
535C22×C42C2312yes—
536C22×C42C2312yes—
537C22×C42C2311yescharacteristic
538C22×C42C2311yescharacteristic
539C22×C42C2311yescharacteristic
540#400C2312yes—
541#400C2312yes—
542#400C2314yes—
543#400C2314yes—
544#400C2312yes—
545#400C2312yes—
546#400C2312yes—
547#400C2312yes—
548#400C2314yes—
549#400C2312yes—
550#400C2312yes—
551#400C2312yes—
552#400C2312yes—
553#400C2312yes—
554#400C2312yes—
555#399C2314yes—
556#399C2314yes—
557#399C2312yes—
558#399C2312yes—
559#399C2312yes—
560#399C2312yes—
561#399C2312yes—
562#399C2314yes—
563#399C2312yes—
564#399C2312yes—
565#399C2312yes—
566#399C2314yes—
567#399C2314yes—
568#398C2314yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2314yes—
573#398C2314yes—
574#398C2314yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2314yes—
579#398C2312yes—
580#398C2314yes—
581#398C2314yes—
582#398C2314yes—
583#398C2314yes—
584#398C2312yes—
585#397C2314yes—
586#397C2312yes—
587#397C2312yes—
588#397C2314yes—
589#397C2314yes—
590#397C2312yes—
591#397C2314yes—
592#397C2312yes—
593#397C2314yes—
594#397C2314yes—
595#397C2314yes—
596#397C2314yes—
597#397C2314yes—
598#396C2314yes—
599#396C2314yes—
600#396C2314yes—
601#396C2314yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#395C2312yes—
609#395C2312yes—
610#395C2314yes—
611#395C2314yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2314yes—
616#395C2314yes—
617#395C2314yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2314yes—
624#395C2312yes—
625#395C2312yes—
626#395C2314yes—
627#395C2314yes—
628#394C2314yes—
629#394C2312yes—
630#394C2312yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2312yes—
637#394C2312yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2312yes—
644#394C2312yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2312yes—
649#394C2314yes—
650#394C2314yes—
651#394C2312yes—
652#393C2314yes—
653#393C2314yes—
654#393C2312yes—
655#393C2312yes—
656#393C2314yes—
657#393C2314yes—
658#393C2312yes—
659#393C2312yes—
660#393C2314yes—
661#393C2314yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2314yes—
666#393C2312yes—
667#393C2314yes—
668#392C2312yes—
669#392C2314yes—
670#392C2312yes—
671#392C2312yes—
672#392C2314yes—
673#392C2314yes—
674#392C2312yes—
675#392C2314yes—
676#391C2314yes—
677#391C2314yes—
678#391C2314yes—
679#391C2314yes—
680#391C2314yes—
681#391C2314yes—
682#390C2314yes—
683#390C2314yes—
684#390C2314yes—
685#390C2314yes—
686#389C2314yes—
687#389C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2314yes—
692#389C2314yes—
693#389C2314yes—
694#389C2314yes—
695#389C2314yes—
696#389C2314yes—
697#389C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#383C2312yes—
793#383C2312yes—
794#383C2312yes—
795#383C2312yes—
796#383C2312yes—
797#383C2312yes—
798#383C2311yescharacteristic
799#383C2311yescharacteristic
800#383C2311yescharacteristic
801#383C2311yescharacteristic
802#382C2312yes—
803#382C2314yes—
804#382C2312yes—
805#382C2312yes—
806#382C2312yes—
807#381C2312yes—
808#381C2314yes—
809#381C2312yes—
810#381C2312yes—
811#381C2312yes—
812#381C2314yes—
813#381C2314yes—
814#381C2314yes—
815#380C2314yes—
816#380C2314yes—
817#380C2314yes—
818#380C2314yes—
819#380C2314yes—
820#380C2314yes—
821#380C2314yes—
822#380C2312yes—
823#380C2314yes—
824#380C2312yes—
825#380C2312yes—
826#380C2312yes—
827#379C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846#376C2312yes—
847#376C2312yes—
848#376C2312yes—
849#376C2312yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2312yes—
855C2×#95C2312yes—
856C2×#95C2314yes—
857C25C2412yes—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—44no—
861C2×#41—48no—
862C2×#41—44no—
863C2×#41C2×D418yes—
864C22×Q8—24no—
865C22×Q8—24no—
866C22×Q8—24no—
867C22×Q8—44no—
868C22×Q8—44no—
869C22×Q8—44no—
870C22×Q8C2411yescharacteristic
871C22×Q8C2412yes—
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2411yescharacteristic
877C22×Q8C2412yes—
878C22×Q8C2412yes—
879C22×Q8C2412yes—
880C22×Q8C2412yes—
881C22×Q8C2411yescharacteristic
882C22×D4—24no—
883C22×D4—44no—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2414yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C4⋊Q8—28no—
924C4⋊Q8—28no—
925C4⋊Q8—28no—
926C4⋊Q8—24no—
927C4⋊Q8—24no—
928C4⋊Q8—24no—
929C4⋊Q8—24no—
930C4⋊Q8—48no—
931#127—28no—
932#126—28no—
933#126—28no—
934#126—28no—
935#126—28no—
936#126—28no—
937#126—28no—
938#126—28no—
939#126—28no—
940#126—28no—
941#126—28no—
942#126—28no—
943#126—28no—
944#126—28no—
945#126—28no—
946#125—28no—
947#125—28no—
948#125—28no—
949#125—28no—
950#125—24no—
951#125—24no—
952#125—24no—
953#125—24no—
954#125—28no—
955#124—28no—
956#124—28no—
957#124—28no—
958#124—28no—
959#124—28no—
960#124—28no—
961#124—28no—
962#124—28no—
963#124—24no—
964#124—24no—
965#124—24no—
966#124—24no—
967#124—28no—
968#124—28no—
969#124—24no—
970#124—24no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—48no—
988#123—48no—
989C22⋊Q8—28no—
990C22⋊Q8—24no—
991C22⋊Q8—24no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—24no—
996C22⋊Q8—28no—
997C22⋊Q8—24no—
998C22⋊Q8—24no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—28no—
1002C22⋊Q8—28no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—48no—
1011#121—28no—
1012#121—28no—
1013#121—24no—
1014#121—24no—
1015#121—24no—
1016#121—24no—
1017#121—24no—
1018#121—24no—
1019#121—48no—
1020#120—28no—
1021#120—28no—
1022#120—48no—
1023C4×Q8—28no—
1024C4×Q8—28no—
1025C4×Q8—28no—
1026C4×Q8—24no—
1027C4×Q8—28no—
1028C4×Q8—28no—
1029C4×Q8—24no—
1030C4×Q8—24no—
1031C4×Q8—24no—
1032C4×Q8—24no—
1033C4×Q8—24no—
1034C4×Q8—24no—
1035C4×Q8—28no—
1036C4×Q8—28no—
1037C4×Q8—28no—
1038C4×Q8—24no—
1039C4×Q8—24no—
1040C4×Q8—24no—
1041C4×Q8—24no—
1042C4×Q8—24no—
1043C4×Q8—28no—
1044C4×Q8—28no—
1045C4×Q8C2×D418yes—
1046C4×Q8C2×D418yes—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4—24no—
1063C4×D4—24no—
1064C4×D4—24no—
1065C4×D4—24no—
1066C4×D4—48no—
1067C4×D4—48no—
1068C4×D4C2×D418yes—
1069C4×D4C2×D418yes—
1070C4×D4C2×D418yes—
1071C4×D4C2×D418yes—
1072C4×D4C2×D418yes—
1073C4×D4C2×D418yes—
1074#117—24no—
1075#117—24no—
1076#117—24no—
1077#117—28no—
1078#117—28no—
1079#117—28no—
1080#117—28no—
1081#117—28no—
1082#117—28no—
1083#117—28no—
1084#117—28no—
1085#117—28no—
1086#117—28no—
1087#117—28no—
1088#117—28no—
1089#117—28no—
1090#117C2×D418yes—
1091#117C2×D418yes—
1092#117C2×D418yes—
1093C2×C4⋊C4—24no—
1094C2×C4⋊C4—24no—
1095C2×C4⋊C4—28no—
1096C2×C4⋊C4—28no—
1097C2×C4⋊C4—48no—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C22⋊C4—28no—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4—28no—
1168C2×C22⋊C4—28no—
1169C2×C22⋊C4—48no—
1170C2×C22⋊C4—48no—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2411yescharacteristic
1231C2×C22⋊C4C2411yescharacteristic
1232C2×C22⋊C4C2411yescharacteristic
1233C2×C22⋊C4C2411yescharacteristic
1234C2×C22⋊C4C2411yescharacteristic
1235C2×C22⋊C4C2411yescharacteristic
1236C2×C42—28no—
1237C2×C42—28no—
1238C2×C42—28no—
1239C2×C42C2×D418yes—
1240C2×C42C2×D418yes—
1241C2×C42C2×D418yes—
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2414yes—
1258C2×C42C2414yes—
1259C2×C42C2414yes—
1260C2×C42C2414yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2411yescharacteristic
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321C24—24no—
1322C24—28no—
1323C24—44no—
1324C24—42no—
1325C24—42no—
1326C24C2512yes—
1327C24C2512yes—
1328C24C2512yes—
1329C24C2511yescharacteristic
1330C24C2511yescharacteristic
1331C24C2511yescharacteristic
1332#41—416no—
1333#41—432no—
1334#41—416no—
1335C2×Q8—22no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—24no—
1339C2×Q8—24no—
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—24no—
1343C2×Q8—24no—
1344C2×Q8—24no—
1345C2×Q8—24no—
1346C2×Q8—24no—
1347C2×Q8—24no—
1348C2×Q8—24no—
1349C2×Q8—42no—
1350C2×Q8—42no—
1351C2×Q8—42no—
1352C2×Q8—42no—
1353C2×Q8—44no—
1354C2×Q8—42no—
1355C2×Q8—42no—
1356C2×Q8—42no—
1357C2×Q8—44no—
1358C2×Q8—44no—
1359C2×Q8—42no—
1360C2×Q8—42no—
1361C2×Q8—416no—
1362C2×Q8—416no—
1363C2×Q8—416no—
1364C2×Q8C22×D414yes—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—28no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—44no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—416no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4C22×D414yes—
1401C2×D4C22×D414yes—
1402C2×D4C22×D414yes—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—28no—
1410C22×C4—28no—
1411C22×C4—28no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—44no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4C22×D414yes—
1448C22×C4C22×D414yes—
1449C22×C4C22×D414yes—
1450C22×C4C22×D414yes—
1451C22×C4C22×D414yes—
1452C22×C4C22×D414yes—
1453C22×C4C22×D414yes—
1454C22×C4C22×D414yes—
1455C22×C4C22×D414yes—
1456C22×C4C2514yes—
1457C22×C4C2514yes—
1458C22×C4C2514yes—
1459C22×C4C2514yes—
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2512yes—
1470C22×C4C2512yes—
1471C22×C4C2512yes—
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C4⋊C4—24no—
1486C4⋊C4—22no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—28no—
1529C4⋊C4—28no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4C22×D414yes—
1547C4⋊C4C22×D414yes—
1548C4⋊C4C22×D414yes—
1549C4⋊C4C22×D414yes—
1550C4⋊C4C22×D414yes—
1551C4⋊C4C22×D414yes—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—28no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—28no—
1589C22⋊C4—28no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4C22×D414yes—
1612C22⋊C4C22×D414yes—
1613C22⋊C4C22×D414yes—
1614C22⋊C4C22×D414yes—
1615C22⋊C4C22×D414yes—
1616C22⋊C4C22×D414yes—
1617C42—24no—
1618C42—24no—
1619C42—24no—
1620C42—24no—
1621C42—24no—
1622C42—24no—
1623C42—24no—
1624C42—24no—
1625C42—24no—
1626C42—24no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—24no—
1631C42—24no—
1632C42—44no—
1633C42—44no—
1634C42—44no—
1635C42—44no—
1636C42C22×D414yes—
1637C42C22×D414yes—
1638C42C22×D414yes—
1639C42C22×D414yes—
1640C42C22×D414yes—
1641C42C22×D414yes—
1642C42C22×D414yes—
1643C42C22×D414yes—
1644C42C22×D414yes—
1645C42C22×D414yes—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—24no—
1658C23—24no—
1659C23—24no—
1660C23—24no—
1661C23—22no—
1662C23—22no—
1663C23—24no—
1664C23—24no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—48no—
1670C23—84no—
1671C23—84no—
1672C23—88no—
1673C23—88no—
1674C23C23×D412yes—
1675C23C23×D412yes—
1676C23C23×D412yes—
1677C23#58514yes—
1678C23C2611yescharacteristic
1679Q8—28no—
1680Q8—44no—
1681Q8—48no—
1682Q8—48no—
1683Q8—44no—
1684Q8—44no—
1685Q8—44no—
1686Q8—44no—
1687Q8—48no—
1688Q8—48no—
1689Q8—84no—
1690Q8—84no—
1691D4—28no—
1692D4—28no—
1693D4—44no—
1694D4—48no—
1695D4—44no—
1696D4—44no—
1697D4—48no—
1698D4—44no—
1699D4—48no—
1700D4—48no—
1701D4—84no—
1702D4—84no—
1703D4—84no—
1704D4—84no—
1705D4—88no—
1706D4—164no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—28no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—24no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—24no—
1738C2×C4—24no—
1739C2×C4—24no—
1740C2×C4—24no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—24no—
1750C2×C4—24no—
1751C2×C4—24no—
1752C2×C4—22no—
1753C2×C4—24no—
1754C2×C4—24no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—44no—
1763C2×C4—44no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—44no—
1767C2×C4—44no—
1768C2×C4—44no—
1769C2×C4—44no—
1770C2×C4—48no—
1771C2×C4—48no—
1772C2×C4—48no—
1773C2×C4—48no—
1774C2×C4—48no—
1775C2×C4—48no—
1776C2×C4—48no—
1777C2×C4—48no—
1778C2×C4—84no—
1779C2×C4—84no—
1780C2×C4—84no—
1781C2×C4—84no—
1782C2×C4—88no—
1783C2×C4—164no—
1784C2×C4C23×D412yes—
1785C2×C4C23×D412yes—
1786C2×C4C23×D412yes—
1787C2×C4C23×D412yes—
1788C2×C4C23×D412yes—
1789C2×C4C23×D412yes—
1790C2×C4C23×D412yes—
1791C2×C4C23×D412yes—
1792C2×C4C23×D412yes—
1793C2×C4C23×D412yes—
1794C2×C4C23×D412yes—
1795C2×C4C23×D412yes—
1796C2×C4#58514yes—
1797C22—22no—
1798C22—22no—
1799C22—28no—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—44no—
1807C22—44no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—44no—
1818C22—44no—
1819C22—44no—
1820C22—44no—
1821C22—44no—
1822C22—44no—
1823C22—168no—
1824C22#344914yes—
1825C22C24×D411yescharacteristic
1826C22C2×#58512yes—
1827C22C2×#58512yes—
1828C222−1+612yes—
1829C4—22no—
1830C4—22no—
1831C4—24no—
1832C4—22no—
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—22no—
1841C4—22no—
1842C4—42no—
1843C4—42no—
1844C4—42no—
1845C4—42no—
1846C4—42no—
1847C4—42no—
1848C4—42no—
1849C4—42no—
1850C4—42no—
1851C4—42no—
1852C4—42no—
1853C4—42no—
1854C4—44no—
1855C4—44no—
1856C4—44no—
1857C4—44no—
1858C2—24no—
1859C2—42no—
1860C2—42no—
1861C2—82no—
1862C2—82no—
1863C2—82no—
1864C2C2×#344911yescharacteristic
1865C2#6281111yescharacteristic
1866C2#6285911yescharacteristic
1867C2#6294014yes—
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×#3510C2semidirect
2. C2×#3482C2semidirect
3. #42317C2semidirect
4. #42309C2semidirect
5. #42295C2semidirect
6. #42174C2semidirect
7. #42170C2semidirect
8. #42156C2semidirect
9. #41947C2semidirect
10. #41933C2semidirect
11. #41421C2semidirect
12. #41409C2semidirect
13. #40607C2semidirect
14. #40595C2semidirect
15. #39847C2semidirect
16. #38375C2semidirect
17. #38360C2semidirect
18. #37606C2semidirect
19. #37560C2semidirect
20. #37558C2semidirect
21. #37557C2semidirect
22. #37557C2semidirect
23. #37543C2semidirect
24. #36224C2semidirect
25. #36086C2semidirect
26. #36061C2semidirect
27. #35940C2semidirect
28. #35753C2semidirect
29. #35248C2semidirect
30. #35245C2semidirect
31. #35144C2semidirect
32. #34636C2semidirect
33. #34602C2semidirect
34. C2×#2632C2semidirect
35. #34195C2semidirect
40. C2×#557C22semidirect
43. C2×#556C22semidirect
44. C2×#556C22semidirect
47. C2×#552C22semidirect
48. C2×#552C22semidirect
55. C2×#548C22semidirect
65. C2×#533C22semidirect
66. C2×#533C22semidirect
73. C2×#529C22semidirect
74. C2×#529C22semidirect
80. C2×C4×#41C22semidirect
82. C22×C4×Q8C22semidirect
84. #2853C22semidirect
85. #2852C22semidirect
86. #2821C22semidirect
87. #2821C22semidirect
88. #2821C22semidirect
89. #2821C22semidirect
92. #2817C22semidirect
94. #2814C22semidirect
95. #2814C22semidirect
97. #2813C22semidirect
98. #2734C22semidirect
101. #2729C22semidirect
102. #2727C22semidirect
103. #2725C22semidirect
104. #2723C22semidirect
105. #2717C22semidirect
106. #2716C22semidirect
107. #2715C22semidirect
108. #2712C22semidirect
109. #2710C22semidirect
111. #2706C22semidirect
112. #2704C22semidirect
113. #2702C22semidirect
114. #2695C22semidirect
115. #2692C22semidirect
116. #2687C22semidirect
117. #2686C22semidirect
118. #2677C22semidirect
119. #2674C22semidirect
121. #2672C22semidirect
122. #2664C22semidirect
123. #2663C22semidirect
124. #2663C22semidirect
125. #2663C22semidirect
128. #2662C22semidirect
131. #2659C22semidirect
134. #2638C22semidirect
135. #2638C22semidirect
136. #2637C22semidirect
137. #2637C22semidirect
138. #2637C22semidirect
140. #2636C22semidirect
142. #2635C22semidirect
143. #2634C22semidirect
144. #2634C22semidirect
145. #2634C22semidirect
146. #2634C22semidirect
147. #2634C22semidirect
148. #2634C22semidirect
149. #2634C22semidirect
150. #2634C22semidirect
152. #2633C22semidirect
153. #2633C22semidirect
165. #2632C22semidirect
168. #2630C22semidirect
169. #2628C22semidirect
170. #2628C22semidirect
171. #2627C22semidirect
172. #2623C22semidirect
175. #2614C22semidirect
177. #2611C22semidirect
179. #2610C22semidirect
180. #2609C22semidirect
181. #2604C22semidirect
182. #2604C22semidirect
183. #2604C22semidirect
184. #2604C22semidirect
186. #2602C22semidirect
187. #2601C22semidirect
188. #2600C22semidirect
189. #2599C22semidirect
190. #2599C22semidirect
191. #2599C22semidirect
192. #2599C22semidirect
194. #2598C22semidirect
196. #2584C22semidirect
197. #2583C22semidirect
198. #2581C22semidirect
199. #2581C22semidirect
200. #2581C22semidirect
201. #2568C22semidirect
203. #2564C22semidirect
204. #2564C22semidirect
205. #2564C22semidirect
208. #2560C22semidirect
209. #2557C22semidirect
210. #2556C22semidirect
211. #2553C22semidirect
212. #2546C22semidirect
218. #2521C22semidirect
219. #2519C22semidirect
223. #2498C22semidirect
224. #2498C22semidirect
225. #2491C22semidirect
226. #2487C22semidirect
228. #2485C22semidirect
231. #2479C22semidirect
232. #2477C22semidirect
233. #2474C22semidirect
234. #2470C22semidirect
235. #2469C22semidirect
236. #2469C22semidirect
238. #2465C22semidirect
239. #2465C22semidirect
241. #2462C22semidirect
242. #2462C22semidirect
245. #2459C22semidirect
246. #2455C22semidirect
247. #2452C22semidirect
251. #2430C22semidirect
258. #2409C22semidirect
261. #2399C22semidirect
263. #2396C22semidirect
264. #2396C22semidirect
265. #2396C22semidirect
266. #2395C22semidirect
269. #2388C22semidirect
275. #2356C22semidirect
277. #2353C22semidirect
279. #2347C22semidirect
282. #2343C22semidirect
285. #2327C22semidirect
286. #2325C22semidirect
287. #2323C22semidirect
288. #2320C22semidirect
290. #2318C22semidirect
291. C4×#123C22semidirect
292. #2290C22semidirect
295. #2283C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
299. C2×#383C22semidirect
450. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35102
C2×#34822
#423172
#423092
#422952
#421742
#421702
#421562
#419472
#419332
#414212
#414092
#406072
#405952
#398472
#383752
#383602
#376062
#375602
#375582
#375572
#375432
#362242
#360862
#360612
#359402
#357532
#352482
#352452
#351442
#346362
#346022
C2×#26322
#341952