Finite Group Databasebeta

← #7657951

Subgroups — #7657951

Order 512.

6640 conjugacy classes of subgroups.

The subgroup lattice has 1817 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3521C211yesmaximal, characteristic
2C2×Q8×#41C211yesmaximal, characteristic, complemented
3#42888C211yesmaximal, characteristic, complemented
4#42884C211yesmaximal, characteristic, complemented
5#42813C211yesmaximal, characteristic, complemented
6#42809C211yesmaximal, characteristic, complemented
7#42804C212yesmaximal, complemented
8#42801C212yesmaximal, complemented
9#41412C212yesmaximal, complemented
10#41408C212yesmaximal, complemented
11#40595C212yesmaximal, complemented
12#40591C212yesmaximal, complemented
13#40516C214yesmaximal, complemented
14#40513C214yesmaximal, complemented
15#39867C212yesmaximal, complemented
16#39866C212yesmaximal, complemented
17#38371C214yesmaximal, complemented
18#38370C214yesmaximal, complemented
19#37633C211yesmaximal, characteristic, complemented
20#37555C212yesmaximal, complemented
21#37548C212yesmaximal, complemented
22#37545C211yesmaximal, characteristic, complemented
23#36217C212yesmaximal, complemented
24#36216C212yesmaximal, complemented
25#35950C211yesmaximal, characteristic, complemented
26#35939C211yesmaximal, characteristic, complemented
27#35928C211yesmaximal, characteristic, complemented
28#35847C211yesmaximal, characteristic, complemented
29#35806C212yesmaximal, complemented
30#35776C212yesmaximal, complemented
31#35247C211yesmaximal, characteristic, complemented
32#35246C212yesmaximal, complemented
33#34602C211yesmaximal, characteristic, complemented
34C2×#2637C212yesmaximal, complemented
35#34191C211yesmaximal, characteristic, complemented
36#3521—216no—
37Q8×#41—216no—
38C2×Q82C2211yescharacteristic, complemented
39C2×#557C2212yescomplemented
40C2×#557C2211yescharacteristic, complemented
41C2×#556C2211yescharacteristic
42C2×#556C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#554C2211yescharacteristic
45C2×#554C2212yes—
46C2×#554C2214yescomplemented
47C2×#554C2212yescomplemented
48C2×#553C2212yes—
49C2×#553C2211yescharacteristic
50C2×#552C2211yescharacteristic
51C2×#552C2212yes—
52C2×#551C2212yes—
53C2×#551C2212yes—
54C2×D4×Q8C2211yescharacteristic
55C2×D4×Q8C2212yescomplemented
56C2×#547C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×#546C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#541C2211yescharacteristic
61C2×#539C2212yes—
62C2×#538C2212yes—
63C2×#533C2211yescharacteristic, complemented
64C2×#533C2212yescomplemented
65C2×#533C2212yescomplemented
66C2×#533C2214yescomplemented
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#529C2212yes—
70C22×#126C2212yes—
71C2×#520C2211yescharacteristic
72C2×#518C2211yescharacteristic
73C2×C4×#41C2212yes—
74C2×C4×#41C2211yescharacteristic
75C22×C4×Q8C2212yescomplemented
76C22×C4×Q8C2211yescharacteristic, complemented
77#2855C2212yescomplemented
78#2854C2212yes—
79#2853C2214yes—
80#2853C2214yescomplemented
81#2822C2214yescomplemented
82#2821C2212yes—
83#2821C2212yes—
84#2821C2212yescomplemented
85#2821C2212yescomplemented
86#2820C2214yescomplemented
87#2814C2212yes—
88#2814C2212yescomplemented
89#2814C2214yescomplemented
90#2721C2214yes—
91#2721C2214yescomplemented
92#2719C2214yescomplemented
93#2719C2214yescomplemented
94#2716C2214yes—
95#2716C2214yescomplemented
96#2713C2214yescomplemented
97#2713C2214yescomplemented
98#2700C2214yes—
99#2698C2214yescomplemented
100#2694C2214yes—
101#2694C2214yescomplemented
102#2690C2214yescomplemented
103#2690C2214yescomplemented
104#2689C2214yescomplemented
105#2687C2214yescomplemented
106#2681C2214yescomplemented
107#2680C2214yescomplemented
108#2677C2214yescomplemented
109#2677C2214yescomplemented
110#2674C2214yes—
111#2674C2214yes—
112#2674C2214yescomplemented
113#2672C2214yescomplemented
114#2664C2214yes—
115#2664C2214yescomplemented
116#2660C2211yescharacteristic, complemented
117#2660C2211yescharacteristic, complemented
118#2659C2212yescomplemented
119#2659C2212yescomplemented
120#2640C2211yescharacteristic
121#2640C2211yescharacteristic
122#2639C2212yes—
123#2639C2212yes—
124#2638C2212yescomplemented
125#2638C2212yescomplemented
126#2637C2212yes—
127#2637C2211yescharacteristic
128#2637C2214yes—
129#2637C2212yes—
130#2637C2212yes—
131#2637C2214yes—
132#2637C2211yescharacteristic
133#2637C2212yescomplemented
134#2637C2214yescomplemented
135#2637C2212yescomplemented
136#2637C2212yescomplemented
137#2637C2212yescomplemented
138#2637C2212yescomplemented
139#2637C2214yescomplemented
140#2637C2211yescharacteristic, complemented
141#2637C2211yescharacteristic, complemented
142#2637C2212yescomplemented
143#2637C2212yescomplemented
144#2634C2212yescomplemented
145#2632C2212yes—
146#2629C2212yes—
147#2629C2212yescomplemented
148#2628C2212yescomplemented
149#2628C2212yescomplemented
150#2627C2212yescomplemented
151#2627C2214yescomplemented
152#2626C2214yes—
153#2623C2211yescharacteristic
154#2623C2211yescharacteristic, complemented
155#2621C2212yescomplemented
156#2621C2212yescomplemented
157#2621C2212yescomplemented
158#2620C2212yes—
159#2618C2212yes—
160#2614C2211yescharacteristic
161#2614C2211yescharacteristic, complemented
162#2604C2214yes—
163#2604C2214yescomplemented
164#2599C2212yescomplemented
165#2599C2212yescomplemented
166#2599C2212yescomplemented
167#2599C2212yescomplemented
168#2599C2214yescomplemented
169#2592C2211yescharacteristic
170#2592C2211yescharacteristic
171#2584C2211yescharacteristic, complemented
172#2584C2211yescharacteristic, complemented
173#2583C2212yescomplemented
174#2583C2212yescomplemented
175#2582C2212yescomplemented
176#2581C2214yescomplemented
177#2579C2214yes—
178#2579C2214yescomplemented
179#2567C2211yescharacteristic, complemented
180#2566C2212yes—
181#2565C2212yescomplemented
182#2565C2214yescomplemented
183#2565C2212yescomplemented
184#2563C2211yescharacteristic
185#2561C2212yes—
186#2561C2212yes—
187#2552C2212yescomplemented
188#2551C2212yescomplemented
189#2550C2212yescomplemented
190#2550C2212yescomplemented
191#2549C2214yescomplemented
192#2549C2214yescomplemented
193#2547C2211yescharacteristic
194#2546C2211yescharacteristic, complemented
195#2545C2212yes—
196#2545C2214yescomplemented
197#2538C2212yes—
198#2536C2214yescomplemented
199#2504C2212yes—
200#2502C2212yescomplemented
201#2500C2212yes—
202#2499C2212yescomplemented
203#2498C2214yes—
204#2498C2214yescomplemented
205#2492C2212yes—
206#2491C2212yes—
207#2490C2212yes—
208#2489C2212yes—
209#2488C2214yes—
210#2488C2214yes—
211#2486C2212yescomplemented
212#2485C2212yes—
213#2485C2212yescomplemented
214#2484C2214yescomplemented
215#2482C2214yes—
216#2472C2214yes—
217#2472C2214yes—
218#2454C2212yes—
219#2453C2212yescomplemented
220#2452C2212yes—
221#2451C2212yescomplemented
222#2450C2214yes—
223#2450C2214yescomplemented
224#2449C2214yes—
225#2449C2214yescomplemented
226#2448C2212yes—
227#2448C2212yes—
228#2446C2212yescomplemented
229#2446C2212yescomplemented
230#2444C2214yes—
231#2444C2214yescomplemented
232#2443C2214yes—
233#2443C2214yescomplemented
234#2442C2212yescomplemented
235#2441C2212yes—
236#2440C2212yescomplemented
237#2440C2214yescomplemented
238#2440C2214yescomplemented
239#2439C2212yes—
240#2438C2214yescomplemented
241#2438C2214yescomplemented
242#2437C2214yes—
243#2437C2214yes—
244#2436C2212yes—
245#2434C2212yescomplemented
246#2423C2212yes—
247#2423C2212yescomplemented
248#2421C2212yes—
249#2421C2212yescomplemented
250#2419C2214yescomplemented
251#2419C2214yescomplemented
252#2418C2214yes—
253#2418C2214yes—
254#2417C2214yes—
255#2417C2214yescomplemented
256#2413C2214yescomplemented
257#2409C2212yescomplemented
258#2399C2211yescharacteristic, complemented
259#2399C2211yescharacteristic, complemented
260#2398C2211yescharacteristic
261#2398C2211yescharacteristic
262#2396C2212yes—
263#2396C2212yescomplemented
264C2×#398C2214yescomplemented
265C2×#398C2212yescomplemented
266C2×#397C2212yes—
267C2×#396C2214yes—
268C2×#395C2212yescomplemented
269C2×#393C2212yes—
270#2355C2212yescomplemented
271#2352C2214yescomplemented
272#2349C2212yes—
273#2349C2212yes—
274D4×C4⋊C4C2212yes—
275D4×C4⋊C4C2212yes—
276D4×C4⋊C4C2212yes—
277#2346C2212yescomplemented
278#2343C2214yescomplemented
279#2339C2212yes—
280#2339C2212yes—
281#2339C2212yes—
282D4×C22⋊C4C2212yes—
283D4×C22⋊C4C2212yes—
284#2327C2214yescomplemented
285#2326C2214yescomplemented
286#2323C2214yescomplemented
287#2320C2211yescharacteristic, complemented
288#2320C2211yescharacteristic, complemented
289#2318C2212yescomplemented
290#2318C2212yescomplemented
291C4×#123C2212yes—
292C4×#123C2212yescomplemented
293C2×#388C2214yes—
294C2×#387C2214yescomplemented
295#2285C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297#2283C2212yescomplemented
298C2×#382C2212yescomplemented
299#2275C2211yescharacteristic
300#2275C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C23×Q8C2312yes—
305C23×D4C2311yescharacteristic
306Q82—28no—
307#557—28no—
308#557—216no—
309#556—28no—
310#556—28no—
311#554—216no—
312#554—28no—
313#554—28no—
314#554—232no—
315#554—216no—
316#553—216no—
317#553—28no—
318#552—28no—
319#552—216no—
320#551—216no—
321#551—216no—
322D4×Q8—28no—
323D4×Q8—216no—
324#547—28no—
325#546—28no—
326#546—28no—
327#542—28no—
328#541—28no—
329#539—216no—
330#538—216no—
331#533—232no—
332#533—216no—
333#533—216no—
334#533—28no—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2312yes—
347#529—216no—
348#529—28no—
349#529—28no—
350C2×#126—216no—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2311yescharacteristic
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2311yescharacteristic
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#125C2311yescharacteristic
366C2×#125C2312yes—
367C2×#125C2311yescharacteristic
368C2×#125C2314yes—
369C2×#125C2314yes—
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#125C2311yescharacteristic
375C2×#124C2312yes—
376C2×#124C2311yescharacteristic
377C2×#124C2311yescharacteristic
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380C2×#124C2314yes—
381C2×#124C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2311yescharacteristic
385C2×#123C2311yescharacteristic
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2314yes—
419C2×#121C2311yescharacteristic
420C2×#121C2311yescharacteristic
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#120C2312yes—
427C2×#120C2312yes—
428#520—28no—
429#518—28no—
430C4×#41—216no—
431C4×#41D4116yes—
432C2×C4×Q8—216no—
433C2×C4×Q8—28no—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2314yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2314yes—
441C2×C4×Q8C2314yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2311yescharacteristic
482C2×#117C2311yescharacteristic
483C2×#117C2314yes—
484C2×#117C2312yes—
485C2×#117C2311yescharacteristic
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2311yescharacteristic
490C22×C4⋊C4C2314yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2314yes—
499C22×C4⋊C4C2314yes—
500C22×C4⋊C4C2314yes—
501C22×C22⋊C4C2312yes—
502C22×C22⋊C4C2312yes—
503C22×C22⋊C4C2312yes—
504C22×C22⋊C4C2312yes—
505C22×C22⋊C4C2314yes—
506C22×C22⋊C4C2314yes—
507C22×C42C2314yes—
508C22×C42C2312yes—
509C22×C42C2312yes—
510C22×C42C2311yescharacteristic
511#400C2314yes—
512#400C2314yes—
513#400C2314yes—
514#400C2314yes—
515#400C2314yes—
516#400C2314yes—
517#400C2314yes—
518#400C2314yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#399C2314yes—
524#399C2314yes—
525#399C2314yes—
526#399C2314yes—
527#399C2314yes—
528#399C2314yes—
529#399C2312yes—
530#399C2312yes—
531#398C2312yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2312yes—
539#398C2312yes—
540#398C2314yes—
541#398C2311yescharacteristic
542#398C2312yes—
543#398C2314yes—
544#398C2312yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2312yes—
551#398C2311yescharacteristic
552#398C2312yes—
553#398C2314yes—
554#398C2312yes—
555#398C2312yes—
556#398C2311yescharacteristic
557#398C2314yes—
558#398C2312yes—
559#398C2311yescharacteristic
560#398C2312yes—
561#398C2312yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#398C2314yes—
566#398C2314yes—
567#398C2314yes—
568#397C2311yescharacteristic
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2312yes—
577#397C2311yescharacteristic
578#397C2312yes—
579#397C2314yes—
580#397C2311yescharacteristic
581#397C2312yes—
582#397C2314yes—
583#397C2314yes—
584#397C2311yescharacteristic
585#397C2314yes—
586#397C2314yes—
587#397C2314yes—
588#397C2314yes—
589#396C2312yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2314yes—
599#396C2314yes—
600#396C2314yes—
601#396C2314yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#395C2314yes—
606#395C2314yes—
607#395C2312yes—
608#395C2312yes—
609#395C2314yes—
610#395C2311yescharacteristic
611#395C2312yes—
612#395C2314yes—
613#395C2312yes—
614#395C2312yes—
615#395C2311yescharacteristic
616#395C2314yes—
617#395C2311yescharacteristic
618#395C2312yes—
619#395C2312yes—
620#395C2311yescharacteristic
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2314yes—
625#395C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2312yes—
629#394C2312yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#393C2311yescharacteristic
635#393C2312yes—
636#393C2312yes—
637#393C2312yes—
638#393C2312yes—
639#393C2314yes—
640#393C2314yes—
641#393C2312yes—
642#393C2311yescharacteristic
643#393C2314yes—
644#393C2312yes—
645#393C2311yescharacteristic
646#393C2311yescharacteristic
647#393C2312yes—
648#393C2312yes—
649#393C2314yes—
650#393C2314yes—
651#391C2314yes—
652#391C2314yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2314yes—
661#391C2314yes—
662#391C2314yes—
663#391C2312yes—
664#391C2312yes—
665#391C2314yes—
666#390C2312yes—
667#390C2312yes—
668#390C2312yes—
669#390C2314yes—
670#390C2312yes—
671#390C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2314yes—
677#389C2314yes—
678#389C2314yes—
679#389C2314yes—
680#389C2314yes—
681#389C2312yes—
682#389C2312yes—
683#389C2314yes—
684#389C2314yes—
685#389C2314yes—
686#389C2314yes—
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2312yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2312yes—
710#388C2314yes—
711#388C2312yes—
712#388C2312yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2312yes—
736#387C2314yes—
737#387C2312yes—
738#387C2314yes—
739#387C2312yes—
740#387C2312yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2312yes—
757#386C2312yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2312yes—
776#385C2312yes—
777#384C2312yes—
778#384C2314yes—
779#384C2312yes—
780#384C2312yes—
781#384C2312yes—
782#383C2312yes—
783#383C2312yes—
784#383C2312yes—
785#382C2312yes—
786#382C2314yes—
787#382C2314yes—
788#382C2312yes—
789#382C2312yes—
790#382C2312yes—
791#382C2312yes—
792#382C2314yes—
793#382C2311yescharacteristic
794#382C2312yes—
795#382C2311yescharacteristic
796#381C2314yes—
797#381C2314yes—
798#381C2311yescharacteristic
799#381C2311yescharacteristic
800#381C2314yes—
801#381C2314yes—
802#381C2312yes—
803#381C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2314yes—
808#380C2314yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2314yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2312yes—
817#380C2314yes—
818#380C2314yes—
819#379C2314yes—
820#379C2314yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841#376C2311yescharacteristic
842#376C2311yescharacteristic
843#376C2314yes—
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×#41C2×D418yes—
856C22×Q8—28no—
857C22×Q8—24no—
858C22×Q8—48no—
859C22×Q8—44no—
860C22×Q8C2411yescharacteristic
861C22×Q8C2411yescharacteristic
862C22×Q8C2412yes—
863C22×Q8C2414yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2414yes—
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×D4—24no—
872C22×D4—28no—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2414yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2414yes—
893C23×C4C2414yes—
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C4⋊Q8—24no—
904C4⋊Q8—28no—
905C4⋊Q8—216no—
906C4⋊Q8—28no—
907C4⋊Q8—216no—
908C4⋊Q8—24no—
909C4⋊Q8—28no—
910C4⋊Q8—24no—
911C4⋊Q8—28no—
912C4⋊Q8—24no—
913C4⋊Q8—48no—
914C4⋊Q8—82no—
915#126—28no—
916#126—28no—
917#126—28no—
918#126—24no—
919#126—28no—
920#126—28no—
921#126—28no—
922#126—28no—
923#126—28no—
924#126—28no—
925#126—28no—
926#126—24no—
927#125—28no—
928#125—28no—
929#125—216no—
930#125—216no—
931#125—28no—
932#125—28no—
933#125—24no—
934#125—28no—
935#125—24no—
936#125—24no—
937#125—28no—
938#125—216no—
939#124—24no—
940#124—28no—
941#124—28no—
942#124—24no—
943#124—24no—
944#124—48no—
945#124—82no—
946#123—28no—
947#123—28no—
948#123—28no—
949#123—28no—
950#123—24no—
951#123—24no—
952#123—28no—
953#123—28no—
954#123—28no—
955#123—28no—
956#123—44no—
957#123—44no—
958#123—84no—
959C22⋊Q8—24no—
960C22⋊Q8—24no—
961C22⋊Q8—24no—
962C22⋊Q8—24no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—216no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—24no—
971C22⋊Q8—28no—
972C22⋊Q8—216no—
973C22⋊Q8—216no—
974C22⋊Q8—216no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—48no—
981C22⋊Q8—84no—
982C22⋊Q8—84no—
983#121—28no—
984#121—28no—
985#121—24no—
986#121—24no—
987#121—28no—
988#121—24no—
989#121—28no—
990#120—28no—
991#120—28no—
992C4×Q8—28no—
993C4×Q8—28no—
994C4×Q8—24no—
995C4×Q8—24no—
996C4×Q8—28no—
997C4×Q8—216no—
998C4×Q8—28no—
999C4×Q8—24no—
1000C4×Q8—28no—
1001C4×Q8—24no—
1002C4×Q8—28no—
1003C4×Q8—24no—
1004C4×Q8—28no—
1005C4×Q8—216no—
1006C4×Q8—24no—
1007C4×Q8—28no—
1008C4×Q8—24no—
1009C4×Q8—28no—
1010C4×Q8—216no—
1011C4×Q8C2×D418yes—
1012C4×Q8C2×D418yes—
1013C4×D4—216no—
1014C4×D4—28no—
1015C4×D4—216no—
1016C4×D4—28no—
1017C4×D4—24no—
1018C4×D4—24no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—24no—
1024C4×D4—24no—
1025C4×D4—28no—
1026C4×D4—24no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—24no—
1030C4×D4—24no—
1031C4×D4—28no—
1032C4×D4C2×D418yes—
1033C4×D4C2×D4116yes—
1034C4×D4C2×D418yes—
1035C4×D4C2×D4116yes—
1036#117—216no—
1037#117—28no—
1038#117—24no—
1039#117—28no—
1040#117—24no—
1041#117—24no—
1042#117—28no—
1043#117—28no—
1044#117—28no—
1045#117—82no—
1046#117C2×D4116yes—
1047#117C2×D418yes—
1048C2×C4⋊C4—216no—
1049C2×C4⋊C4—28no—
1050C2×C4⋊C4—28no—
1051C2×C4⋊C4—24no—
1052C2×C4⋊C4—28no—
1053C2×C4⋊C4—28no—
1054C2×C4⋊C4—28no—
1055C2×C4⋊C4—24no—
1056C2×C4⋊C4—48no—
1057C2×C4⋊C4—84no—
1058C2×C4⋊C4—84no—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C22⋊C4—28no—
1139C2×C22⋊C4—28no—
1140C2×C22⋊C4—28no—
1141C2×C22⋊C4—28no—
1142C2×C22⋊C4—48no—
1143C2×C22⋊C4—84no—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C42—216no—
1201C2×C42—28no—
1202C2×C42C2×D4116yes—
1203C2×C42C2×D418yes—
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2412yes—
1212C2×C42C2414yes—
1213C2×C42C2412yes—
1214C2×C42C2414yes—
1215C2×C42C2412yes—
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2414yes—
1221C2×C42C2414yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
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#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290C24—24no—
1291C24—28no—
1292C24—44no—
1293C24—42no—
1294C24—42no—
1295C24C2511yescharacteristic
1296C24C2512yes—
1297C24C2511yescharacteristic
1298C24C2511yescharacteristic
1299C24C2512yes—
1300#41—232no—
1301#41—416no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—24no—
1305C2×Q8—28no—
1306C2×Q8—24no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—24no—
1310C2×Q8—28no—
1311C2×Q8—24no—
1312C2×Q8—24no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—28no—
1317C2×Q8—44no—
1318C2×Q8—42no—
1319C2×Q8—44no—
1320C2×Q8—42no—
1321C2×Q8—44no—
1322C2×Q8—42no—
1323C2×Q8—44no—
1324C2×Q8—41no—
1325C2×Q8—44no—
1326C2×Q8—42no—
1327C2×Q8—41no—
1328C2×Q8—416no—
1329C2×Q8—432no—
1330C2×Q8C22×D414yes—
1331C2×D4—28no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—28no—
1335C2×D4—28no—
1336C2×D4—22no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—44no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—42no—
1350C2×D4—416no—
1351C2×D4C22×D418yes—
1352C2×D4C22×D414yes—
1353C2×D42−1+418yes—
1354C22×C4—28no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—28no—
1358C22×C4—24no—
1359C22×C4—28no—
1360C22×C4—24no—
1361C22×C4—28no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—28no—
1365C22×C4—28no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—28no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—42no—
1376C22×C4—41no—
1377C22×C4—42no—
1378C22×C4—41no—
1379C22×C4—44no—
1380C22×C4—42no—
1381C22×C4—44no—
1382C22×C4—42no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—42no—
1390C22×C4—44no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—44no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4C22×D418yes—
1400C22×C4C22×D414yes—
1401C22×C4C22×D418yes—
1402C22×C4C22×D418yes—
1403C22×C4C22×D414yes—
1404C22×C4C22×D414yes—
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2514yes—
1413C22×C4C2514yes—
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2514yes—
1417C22×C4C2512yes—
1418C22×C4C2514yes—
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2511yescharacteristic
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—28no—
1448C4⋊C4—28no—
1449C4⋊C4—24no—
1450C4⋊C4—28no—
1451C4⋊C4—24no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—24no—
1477C4⋊C4—28no—
1478C4⋊C4—28no—
1479C4⋊C4—24no—
1480C4⋊C4—28no—
1481C4⋊C4—28no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—28no—
1486C4⋊C4—24no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4C22×D414yes—
1511C4⋊C4C22×D414yes—
1512C4⋊C4C22×D418yes—
1513C4⋊C4C22×D418yes—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—22no—
1520C22⋊C4—24no—
1521C22⋊C4—22no—
1522C22⋊C4—28no—
1523C22⋊C4—28no—
1524C22⋊C4—22no—
1525C22⋊C4—24no—
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—24no—
1537C22⋊C4—22no—
1538C22⋊C4—22no—
1539C22⋊C4—22no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—22no—
1544C22⋊C4—24no—
1545C22⋊C4—28no—
1546C22⋊C4—24no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—42no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—42no—
1554C22⋊C4—44no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4C22×D418yes—
1568C22⋊C4C22×D418yes—
1569C22⋊C4C22×D418yes—
1570C42—24no—
1571C42—28no—
1572C42—24no—
1573C42—28no—
1574C42—24no—
1575C42—28no—
1576C42—24no—
1577C42—24no—
1578C42—24no—
1579C42—24no—
1580C42—22no—
1581C42—22no—
1582C42—24no—
1583C42—24no—
1584C42—42no—
1585C42—42no—
1586C42—44no—
1587C42—44no—
1588C42C22×D414yes—
1589C42C22×D414yes—
1590C42C22×D414yes—
1591C42C22×D418yes—
1592C42C22×D418yes—
1593C42C22×D414yes—
1594C42C22×D418yes—
1595C23—24no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—22no—
1604C23—21no—
1605C23—22no—
1606C23—22no—
1607C23—24no—
1608C23—24no—
1609C23—22no—
1610C23—22no—
1611C23—21no—
1612C23—22no—
1613C23—21no—
1614C23—21no—
1615C23—22no—
1616C23—21no—
1617C23—48no—
1618C23—84no—
1619C23—84no—
1620C23—88no—
1621C23—88no—
1622C23C23×D412yes—
1623C23C23×D414yes—
1624C23C2×2−1+418yes—
1625C23C2611yescharacteristic
1626Q8—28no—
1627Q8—28no—
1628Q8—48no—
1629Q8—416no—
1630Q8—48no—
1631Q8—44no—
1632Q8—44no—
1633Q8—84no—
1634Q8—88no—
1635Q8—82no—
1636Q8—84no—
1637D4—216no—
1638D4—48no—
1639D4—48no—
1640D4—44no—
1641D4—84no—
1642D4—82no—
1643D4—82no—
1644D4—82no—
1645D4—84no—
1646D4#536116yes—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—216no—
1661C2×C4—28no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—48no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—48no—
1720C2×C4—416no—
1721C2×C4—48no—
1722C2×C4—48no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—84no—
1726C2×C4—84no—
1727C2×C4—84no—
1728C2×C4—84no—
1729C2×C4—88no—
1730C2×C4—84no—
1731C2×C4—84no—
1732C2×C4—88no—
1733C2×C4—88no—
1734C2×C4C23×D412yes—
1735C2×C4C23×D414yes—
1736C2×C4C23×D412yes—
1737C2×C4C23×D414yes—
1738C2×C4C23×D412yes—
1739C2×C4C23×D412yes—
1740C2×C4C23×D414yes—
1741C2×C4C23×D412yes—
1742C2×C4C23×D412yes—
1743C2×C4C2×2−1+414yes—
1744C2×C4#58514yes—
1745C22—24no—
1746C22—24no—
1747C22—28no—
1748C22—28no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—42no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—42no—
1763C22—42no—
1764C22—44no—
1765C22—42no—
1766C22—42no—
1767C22—44no—
1768C22—42no—
1769C22—168no—
1770C22C2×#53618yes—
1771C22C24×D411yescharacteristic
1772C22C22×2−1+412yes—
1773C22C2×#58512yes—
1774C22H(7,𝔽2)11yescharacteristic
1775C222−1+611yescharacteristic
1776C4—22no—
1777C4—24no—
1778C4—22no—
1779C4—24no—
1780C4—22no—
1781C4—24no—
1782C4—22no—
1783C4—22no—
1784C4—24no—
1785C4—44no—
1786C4—42no—
1787C4—41no—
1788C4—42no—
1789C4—41no—
1790C4—42no—
1791C4—42no—
1792C4—41no—
1793C4—41no—
1794C4—44no—
1795C4—42no—
1796C4—41no—
1797C4—41no—
1798C4—42no—
1799C4—42no—
1800C4—42no—
1801C4—44no—
1802C4—44no—
1803C4—42no—
1804C4—42no—
1805C4C2×#53614yes—
1806C2—28no—
1807C2—42no—
1808C2—81no—
1809C2—82no—
1810C2—81no—
1811C2C22×#53611yescharacteristic
1812C2#6281111yescharacteristic
1813C2#6285311yescharacteristic
1814C2#6295012yes—
1815C2#6295112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3521C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×Q8×#41C2semidirect
3. #42888C2semidirect
4. #42884C2semidirect
5. #42813C2semidirect
6. #42809C2semidirect
7. #42804C2semidirect
8. #42801C2semidirect
9. #41412C2semidirect
10. #41408C2semidirect
11. #40595C2semidirect
12. #40591C2semidirect
13. #40516C2semidirect
14. #40513C2semidirect
15. #39867C2semidirect
16. #39866C2semidirect
17. #38371C2semidirect
18. #38370C2semidirect
19. #37633C2semidirect
20. #37555C2semidirect
21. #37548C2semidirect
22. #37545C2semidirect
23. #36217C2semidirect
24. #36216C2semidirect
25. #35950C2semidirect
26. #35939C2semidirect
27. #35928C2semidirect
28. #35847C2semidirect
29. #35806C2semidirect
30. #35776C2semidirect
31. #35247C2semidirect
32. #35246C2semidirect
33. #34602C2semidirect
34. C2×#2637C2semidirect
35. #34191C2semidirect
38. C2×Q82C22semidirect
39. C2×#557C22semidirect
40. C2×#557C22semidirect
46. C2×#554C22semidirect
47. C2×#554C22semidirect
55. C2×D4×Q8C22semidirect
63. C2×#533C22semidirect
64. C2×#533C22semidirect
65. C2×#533C22semidirect
66. C2×#533C22semidirect
75. C22×C4×Q8C22semidirect
76. C22×C4×Q8C22semidirect
77. #2855C22semidirect
80. #2853C22semidirect
81. #2822C22semidirect
84. #2821C22semidirect
85. #2821C22semidirect
86. #2820C22semidirect
88. #2814C22semidirect
89. #2814C22semidirect
91. #2721C22semidirect
92. #2719C22semidirect
93. #2719C22semidirect
95. #2716C22semidirect
96. #2713C22semidirect
97. #2713C22semidirect
99. #2698C22semidirect
101. #2694C22semidirect
102. #2690C22semidirect
103. #2690C22semidirect
104. #2689C22semidirect
105. #2687C22semidirect
106. #2681C22semidirect
107. #2680C22semidirect
108. #2677C22semidirect
109. #2677C22semidirect
112. #2674C22semidirect
113. #2672C22semidirect
115. #2664C22semidirect
116. #2660C22semidirect
117. #2660C22semidirect
118. #2659C22semidirect
119. #2659C22semidirect
124. #2638C22semidirect
125. #2638C22semidirect
133. #2637C22semidirect
134. #2637C22semidirect
135. #2637C22semidirect
136. #2637C22semidirect
137. #2637C22semidirect
138. #2637C22semidirect
139. #2637C22semidirect
140. #2637C22semidirect
141. #2637C22semidirect
142. #2637C22semidirect
143. #2637C22semidirect
144. #2634C22semidirect
147. #2629C22semidirect
148. #2628C22semidirect
149. #2628C22semidirect
150. #2627C22semidirect
151. #2627C22semidirect
154. #2623C22semidirect
155. #2621C22semidirect
156. #2621C22semidirect
157. #2621C22semidirect
161. #2614C22semidirect
163. #2604C22semidirect
164. #2599C22semidirect
165. #2599C22semidirect
166. #2599C22semidirect
167. #2599C22semidirect
168. #2599C22semidirect
171. #2584C22semidirect
172. #2584C22semidirect
173. #2583C22semidirect
174. #2583C22semidirect
175. #2582C22semidirect
176. #2581C22semidirect
178. #2579C22semidirect
179. #2567C22semidirect
181. #2565C22semidirect
182. #2565C22semidirect
183. #2565C22semidirect
187. #2552C22semidirect
188. #2551C22semidirect
189. #2550C22semidirect
190. #2550C22semidirect
191. #2549C22semidirect
192. #2549C22semidirect
194. #2546C22semidirect
196. #2545C22semidirect
198. #2536C22semidirect
200. #2502C22semidirect
202. #2499C22semidirect
204. #2498C22semidirect
211. #2486C22semidirect
213. #2485C22semidirect
214. #2484C22semidirect
219. #2453C22semidirect
221. #2451C22semidirect
223. #2450C22semidirect
225. #2449C22semidirect
228. #2446C22semidirect
229. #2446C22semidirect
231. #2444C22semidirect
233. #2443C22semidirect
234. #2442C22semidirect
236. #2440C22semidirect
237. #2440C22semidirect
238. #2440C22semidirect
240. #2438C22semidirect
241. #2438C22semidirect
245. #2434C22semidirect
247. #2423C22semidirect
249. #2421C22semidirect
250. #2419C22semidirect
251. #2419C22semidirect
255. #2417C22semidirect
256. #2413C22semidirect
257. #2409C22semidirect
258. #2399C22semidirect
259. #2399C22semidirect
263. #2396C22semidirect
264. C2×#398C22semidirect
265. C2×#398C22semidirect
268. C2×#395C22semidirect
270. #2355C22semidirect
271. #2352C22semidirect
277. #2346C22semidirect
278. #2343C22semidirect
284. #2327C22semidirect
285. #2326C22semidirect
286. #2323C22semidirect
287. #2320C22semidirect
288. #2320C22semidirect
289. #2318C22semidirect
290. #2318C22semidirect
292. C4×#123C22semidirect
294. C2×#387C22semidirect
295. #2285C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
298. C2×#382C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35212
C2×Q8×#412
#428882
#428842
#428132
#428092
#428042
#428012
#414122
#414082
#405952
#405912
#405162
#405132
#398672
#398662
#383712
#383702
#376332
#375552
#375482
#375452
#362172
#362162
#359502
#359392
#359282
#358472
#358062
#357762
#352472
#352462
#346022
C2×#26372
#341912