Finite Group Databasebeta

← #7658393

Subgroups — #7658393

Order 512.

6954 conjugacy classes of subgroups.

The subgroup lattice has 1939 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3513C211yesmaximal, characteristic, complemented
2C2×#3506C211yesmaximal, characteristic, complemented
3#42681C211yesmaximal, characteristic, complemented
4#42677C211yesmaximal, characteristic, complemented
5#42482C211yesmaximal, characteristic, complemented
6#42478C211yesmaximal, characteristic, complemented
7#42445C212yesmaximal, complemented
8#42440C212yesmaximal, complemented
9#42432C212yesmaximal, complemented
10#42420C212yesmaximal, complemented
11#41422C212yesmaximal, complemented
12#41418C212yesmaximal, complemented
13#41378C214yesmaximal, complemented
14#40605C212yesmaximal, complemented
15#40601C212yesmaximal, complemented
16#40535C214yesmaximal, complemented
17#40530C214yesmaximal, complemented
18#40498C214yesmaximal, complemented
19#37633C211yesmaximal, characteristic, complemented
20#37621C211yesmaximal, characteristic, complemented
21#37545C211yesmaximal, characteristic, complemented
22#37452C212yesmaximal, complemented
23#37444C212yesmaximal, complemented
24#37443C212yesmaximal, complemented
25#36687C211yesmaximal, characteristic, complemented
26#36652C212yesmaximal, complemented
27#36062C211yesmaximal, characteristic, complemented
28#36051C211yesmaximal, characteristic, complemented
29#35923C211yesmaximal, characteristic, complemented
30#35912C211yesmaximal, characteristic, complemented
31#35823C212yesmaximal, complemented
32#35763C212yesmaximal, complemented
33#35758C212yesmaximal, complemented
34#35682C212yesmaximal, complemented
35#34194C211yesmaximal, characteristic, complemented
36#3513—216no—
37#3506—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2214yescomplemented
40C2×#556C2212yescomplemented
41C2×#555C2211yescharacteristic
42C2×#555C2211yescharacteristic, complemented
43C2×#554C2211yescharacteristic
44C2×#553C2212yes—
45C2×#553C2211yescharacteristic
46C2×#553C2212yes—
47C2×#553C2212yescomplemented
48C2×#552C2211yescharacteristic
49C2×#551C2212yes—
50C2×#551C2212yes—
51C2×#550C2212yescomplemented
52C2×#547C2211yescharacteristic
53C2×#547C2211yescharacteristic
54C2×#547C2211yescharacteristic, complemented
55C2×#546C2212yes—
56C2×#546C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×D42C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#540C2211yescharacteristic
61C2×#539C2212yes—
62C2×#538C2212yes—
63C2×#538C2214yescomplemented
64C2×#535C2212yes—
65C2×#533C2211yescharacteristic, complemented
66C2×#532C2211yescharacteristic, complemented
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#525C2212yes—
70C2×#525C2212yescomplemented
71C2×#525C2212yescomplemented
72C22×#123C2212yes—
73C2×#520C2211yescharacteristic
74C2×#520C2212yescomplemented
75C2×#518C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77#2821C2211yescharacteristic, complemented
78#2821C2211yescharacteristic, complemented
79#2820C2212yescomplemented
80#2819C2212yescomplemented
81#2818C2211yescharacteristic, complemented
82#2818C2211yescharacteristic, complemented
83#2817C2212yescomplemented
84#2816C2212yescomplemented
85#2816C2212yescomplemented
86#2816C2212yescomplemented
87#2815C2212yes—
88#2815C2212yescomplemented
89#2814C2212yes—
90#2814C2212yescomplemented
91#2814C2212yescomplemented
92#2814C2214yescomplemented
93#2814C2212yescomplemented
94#2813C2211yescharacteristic
95#2813C2211yescharacteristic
96#2813C2211yescharacteristic, complemented
97#2813C2212yescomplemented
98#2813C2214yescomplemented
99#2813C2212yescomplemented
100#2813C2211yescharacteristic, complemented
101#2812C2214yes—
102#2812C2214yescomplemented
103#2722C2214yescomplemented
104#2717C2214yescomplemented
105#2715C2214yescomplemented
106#2710C2214yescomplemented
107#2709C2214yescomplemented
108#2706C2214yescomplemented
109#2700C2214yescomplemented
110#2695C2214yescomplemented
111#2691C2214yescomplemented
112#2691C2214yescomplemented
113#2687C2214yescomplemented
114#2686C2214yes—
115#2686C2214yescomplemented
116#2684C2214yes—
117#2680C2214yescomplemented
118#2678C2214yescomplemented
119#2676C2214yescomplemented
120#2675C2214yescomplemented
121#2674C2214yescomplemented
122#2673C2214yes—
123#2673C2214yescomplemented
124#2671C2214yescomplemented
125#2670C2214yescomplemented
126#2669C2214yes—
127#2663C2212yescomplemented
128#2663C2212yescomplemented
129#2662C2214yescomplemented
130#2661C2212yescomplemented
131#2661C2212yescomplemented
132#2660C2211yescharacteristic, complemented
133#2660C2211yescharacteristic, complemented
134#2640C2211yescharacteristic, complemented
135#2640C2211yescharacteristic, complemented
136#2638C2214yescomplemented
137#2637C2212yescomplemented
138#2637C2212yescomplemented
139#2637C2214yescomplemented
140#2630C2214yes—
141#2630C2214yescomplemented
142#2630C2214yescomplemented
143#2630C2214yescomplemented
144#2630C2214yescomplemented
145#2630C2214yescomplemented
146#2629C2212yescomplemented
147#2629C2212yescomplemented
148#2628C2212yescomplemented
149#2627C2212yescomplemented
150#2626C2212yescomplemented
151#2625C2212yescomplemented
152#2624C2212yescomplemented
153#2622C2214yescomplemented
154#2621C2212yescomplemented
155#2620C2212yes—
156#2619C2212yescomplemented
157#2618C2214yescomplemented
158#2618C2214yescomplemented
159#2618C2212yescomplemented
160#2617C2214yes—
161#2617C2214yescomplemented
162#2617C2212yescomplemented
163#2616C2212yescomplemented
164#2616C2212yescomplemented
165#2615C2212yes—
166#2615C2212yescomplemented
167#2613C2214yes—
168#2602C2214yes—
169#2602C2214yescomplemented
170#2599C2212yescomplemented
171#2599C2212yescomplemented
172#2579C2214yescomplemented
173#2567C2211yescharacteristic, complemented
174#2566C2212yescomplemented
175#2565C2212yescomplemented
176#2565C2212yescomplemented
177#2564C2212yescomplemented
178#2564C2212yescomplemented
179#2563C2211yescharacteristic, complemented
180#2562C2211yescharacteristic, complemented
181#2562C2211yescharacteristic, complemented
182#2557C2214yescomplemented
183#2557C2214yescomplemented
184#2555C2214yescomplemented
185#2553C2214yescomplemented
186#2547C2211yescharacteristic, complemented
187#2546C2211yescharacteristic, complemented
188#2545C2212yescomplemented
189#2543C2212yescomplemented
190#2543C2212yescomplemented
191#2540C2211yescharacteristic, complemented
192#2540C2211yescharacteristic, complemented
193#2538C2212yescomplemented
194#2537C2212yes—
195#2537C2212yescomplemented
196#2537C2212yescomplemented
197#2535C2212yes—
198#2535C2212yescomplemented
199#2534C2214yescomplemented
200#2521C2214yescomplemented
201#2500C2212yes—
202#2499C2212yescomplemented
203#2498C2212yescomplemented
204#2498C2212yescomplemented
205#2491C2214yescomplemented
206#2485C2212yes—
207#2485C2212yescomplemented
208#2485C2214yescomplemented
209#2484C2212yescomplemented
210#2482C2212yescomplemented
211#2480C2214yescomplemented
212#2478C2214yescomplemented
213#2476C2214yescomplemented
214#2469C2214yescomplemented
215#2468C2214yescomplemented
216#2467C2214yescomplemented
217#2466C2214yescomplemented
218#2465C2214yescomplemented
219#2464C2214yescomplemented
220#2464C2214yescomplemented
221#2463C2214yescomplemented
222#2462C2214yescomplemented
223#2460C2214yescomplemented
224#2458C2214yescomplemented
225#2456C2214yescomplemented
226#2456C2214yescomplemented
227#2442C2212yescomplemented
228#2441C2212yescomplemented
229#2440C2212yescomplemented
230#2439C2212yescomplemented
231#2430C2212yescomplemented
232#2430C2212yescomplemented
233#2428C2212yes—
234#2428C2212yes—
235#2427C2212yescomplemented
236#2427C2212yescomplemented
237#2424C2214yescomplemented
238#2422C2212yes—
239#2422C2212yes—
240#2422C2214yescomplemented
241#2420C2212yes—
242#2420C2212yes—
243#2417C2214yescomplemented
244#2417C2212yescomplemented
245#2416C2214yescomplemented
246#2416C2212yescomplemented
247#2415C2212yescomplemented
248#2414C2214yescomplemented
249#2414C2212yescomplemented
250#2413C2214yescomplemented
251#2412C2214yescomplemented
252#2411C2214yescomplemented
253#2410C2214yes—
254#2408C2212yes—
255#2408C2212yes—
256#2407C2212yes—
257#2407C2212yes—
258#2407C2214yescomplemented
259#2406C2212yescomplemented
260#2404C2212yescomplemented
261#2398C2211yescharacteristic, complemented
262#2398C2211yescharacteristic, complemented
263#2397C2211yescharacteristic, complemented
264#2397C2211yescharacteristic, complemented
265#2395C2214yescomplemented
266#2395C2212yescomplemented
267#2395C2212yescomplemented
268#2392C2214yescomplemented
269#2392C2214yescomplemented
270#2392C2212yescomplemented
271#2392C2212yescomplemented
272#2388C2212yes—
273#2388C2214yescomplemented
274#2388C2212yescomplemented
275#2388C2212yescomplemented
276#2388C2212yescomplemented
277#2363C2212yescomplemented
278#2362C2212yescomplemented
279#2361C2212yescomplemented
280#2360C2212yescomplemented
281#2354C2212yes—
282#2354C2212yescomplemented
283#2352C2214yescomplemented
284#2352C2212yescomplemented
285#2352C2212yescomplemented
286D4×C4⋊C4C2212yescomplemented
287D4×C4⋊C4C2212yescomplemented
288#2345C2212yescomplemented
289#2342C2214yescomplemented
290D4×C22⋊C4C2212yes—
291#2319C2211yescharacteristic
292#2319C2211yescharacteristic
293#2318C2212yescomplemented
294#2318C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297#2280C2212yescomplemented
298C2×#380C2212yescomplemented
299#2275C2211yescharacteristic, complemented
300#2275C2211yescharacteristic, complemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2311yescharacteristic
309C24×C4C2312yes—
310#559—28no—
311#559—232no—
312#556—216no—
313#555—28no—
314#555—28no—
315#554—28no—
316#553—216no—
317#553—216no—
318#553—28no—
319#553—216no—
320#552—28no—
321#551—216no—
322#551—216no—
323#550—216no—
324#547—28no—
325#547—28no—
326#547—28no—
327#546—28no—
328#546—28no—
329#546—216no—
330D42—28no—
331#542—28no—
332#540—28no—
333#539—216no—
334#538—216no—
335#538—232no—
336#535—216no—
337#533—28no—
338#532—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×#127C2311yescharacteristic
345C2×#127C2314yes—
346C2×#127C2311yescharacteristic
347#529—28no—
348#529—28no—
349C2×#126C2311yescharacteristic
350C2×#126C2311yescharacteristic
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#125C2311yescharacteristic
358C2×#125C2311yescharacteristic
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2311yescharacteristic
362C2×#124C2311yescharacteristic
363C2×#124C2312yes—
364C2×#124C2311yescharacteristic
365C2×#124C2314yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372#525—216no—
373#525—216no—
374#525—216no—
375C2×#123—216no—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2311yescharacteristic
385C2×#123C2312yes—
386C2×#123C2311yescharacteristic
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2311yescharacteristic
415C2×#121C2311yescharacteristic
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#121C2314yes—
441C2×#120C2314yes—
442C2×#120C2312yes—
443C2×#120C2312yes—
444C2×#120C2314yes—
445C2×#120C2312yes—
446C2×#120C2312yes—
447C2×#120C2314yes—
448C2×#120C2314yes—
449#520—28no—
450#520—216no—
451#518—28no—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2314yes—
458C2×C4×D4D4116yescomplemented
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2311yescharacteristic
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2311yescharacteristic
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2314yes—
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2311yescharacteristic
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2314yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C22⋊C4C2312yes—
516C22×C22⋊C4C2312yes—
517C22×C22⋊C4C2312yes—
518C22×C22⋊C4C2312yes—
519C22×C22⋊C4C2314yes—
520C22×C22⋊C4C2312yes—
521C22×C42C2311yescharacteristic
522#400C2311yescharacteristic
523#400C2312yes—
524#400C2314yes—
525#400C2312yes—
526#400C2311yescharacteristic
527#400C2311yescharacteristic
528#400C2311yescharacteristic
529#399C2311yescharacteristic
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2314yes—
534#399C2311yescharacteristic
535#399C2312yes—
536#399C2311yescharacteristic
537#399C2311yescharacteristic
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2312yes—
548#398C2314yes—
549#398C2314yes—
550#398C2312yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2312yes—
569#397C2314yes—
570#397C2314yes—
571#397C2312yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#395C2312yes—
593#395C2312yes—
594#395C2314yes—
595#395C2312yes—
596#395C2312yes—
597#395C2312yes—
598#395C2312yes—
599#395C2314yes—
600#395C2314yes—
601#394C2311yescharacteristic
602#394C2312yes—
603#394C2312yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2311yescharacteristic
618#394C2311yescharacteristic
619#394C2311yescharacteristic
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2314yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2314yes—
657#393C2314yes—
658#392C2312yes—
659#392C2312yes—
660#392C2311yescharacteristic
661#392C2311yescharacteristic
662#392C2311yescharacteristic
663#392C2312yes—
664#392C2312yes—
665#392C2311yescharacteristic
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2314yes—
670#392C2314yes—
671#392C2314yes—
672#392C2314yes—
673#392C2314yes—
674#392C2314yes—
675#392C2314yes—
676#392C2312yes—
677#392C2312yes—
678#392C2312yes—
679#392C2312yes—
680#392C2312yes—
681#392C2314yes—
682#392C2314yes—
683#392C2314yes—
684#392C2314yes—
685#392C2314yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2314yes—
692#390C2312yes—
693#390C2312yes—
694#390C2312yes—
695#390C2312yes—
696#390C2312yes—
697#390C2314yes—
698#390C2314yes—
699#390C2314yes—
700#390C2314yes—
701#390C2314yes—
702#390C2314yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2314yes—
708#389C2314yes—
709#389C2312yes—
710#389C2312yes—
711#389C2314yes—
712#389C2314yes—
713#389C2314yes—
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#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
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#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
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#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#384C2312yes—
783#384C2312yes—
784#384C2312yes—
785#384C2312yes—
786#383C2311yescharacteristic
787#383C2311yescharacteristic
788#382C2312yes—
789#382C2312yes—
790#382C2312yes—
791#382C2312yes—
792#382C2312yes—
793#381C2312yes—
794#381C2312yes—
795#381C2312yes—
796#381C2314yes—
797#381C2314yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2314yes—
805#380C2314yes—
806#380C2312yes—
807#380C2312yes—
808#380C2314yes—
809#380C2312yes—
810#380C2314yes—
811#380C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2314yes—
815#380C2314yes—
816#380C2314yes—
817#380C2314yes—
818#380C2314yes—
819#380C2311yescharacteristic
820#380C2312yes—
821#380C2311yescharacteristic
822#379C2314yes—
823#379C2314yes—
824#379C2314yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2312yes—
847#376C2311yescharacteristic
848#376C2311yescharacteristic
849C2×#95C2312yes—
850C2×#95C2312yes—
851C25C2412yes—
852C25C2412yes—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—84no—
862C2×#41—84no—
863C2×#41—84no—
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×D4—28no—
871C22×D4—24no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4—84no—
875C22×D4C2×D418yes—
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2411yescharacteristic
894C22×D4C2411yescharacteristic
895C22×D4C2414yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2412yes—
907C23×C4—84no—
908C23×C4C2×D4116yes—
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2414yes—
923C23×C4C2414yes—
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C4⋊Q8—24no—
932C4⋊Q8—24no—
933C4⋊Q8—24no—
934C4⋊Q8—24no—
935C4⋊Q8—82no—
936#127—216no—
937#127—24no—
938#127—24no—
939#126—28no—
940#126—216no—
941#126—216no—
942#126—28no—
943#126—28no—
944#126—28no—
945#126—24no—
946#126—24no—
947#125—28no—
948#125—24no—
949#125—24no—
950#125—24no—
951#125—28no—
952#124—216no—
953#124—24no—
954#124—28no—
955#124—216no—
956#124—216no—
957#124—28no—
958#124—24no—
959#124—24no—
960#124—28no—
961#124—82no—
962#123—28no—
963#123—24no—
964#123—28no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—24no—
972#123—216no—
973#123—216no—
974#123—28no—
975#123—216no—
976#123—216no—
977#123—28no—
978#123—28no—
979#123—28no—
980#123—84no—
981#123—84no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—24no—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—24no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—44no—
995C22⋊Q8—44no—
996C22⋊Q8—84no—
997#121—28no—
998#121—28no—
999#121—28no—
1000#121—28no—
1001#121—28no—
1002#121—28no—
1003#121—24no—
1004#121—24no—
1005#121—24no—
1006#121—24no—
1007#121—28no—
1008#121—28no—
1009#121—28no—
1010#121—28no—
1011#121—24no—
1012#121—24no—
1013#121—28no—
1014#121—24no—
1015#121—28no—
1016#121—216no—
1017#121—216no—
1018#121—28no—
1019#121—44no—
1020#121—44no—
1021#121—84no—
1022#121—84no—
1023#121—84no—
1024#121—84no—
1025#121—84no—
1026#121—84no—
1027#120—216no—
1028#120—216no—
1029#120—28no—
1030#120—28no—
1031#120—28no—
1032#120—28no—
1033#120—84no—
1034#120—84no—
1035C4×Q8—24no—
1036C4×Q8—216no—
1037C4×Q8—24no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—28no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—216no—
1046C4×D4—216no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—216no—
1050C4×D4—216no—
1051C4×D4—24no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—24no—
1055C4×D4—216no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4—28no—
1063C4×D4—44no—
1064C4×D4—44no—
1065C4×D4—44no—
1066C4×D4—44no—
1067C4×D4—44no—
1068C4×D4—44no—
1069C4×D4—84no—
1070C4×D4—84no—
1071C4×D4C2×D418yes—
1072C4×D4C2×D4116yes—
1073C4×D4C2×D418yes—
1074C4×D4C2×D418yes—
1075C4×D4C2×D418yes—
1076C4×D4C2×D4116yes—
1077#117—28no—
1078#117—28no—
1079#117—28no—
1080#117—28no—
1081#117—24no—
1082#117—28no—
1083#117—28no—
1084#117—28no—
1085#117—24no—
1086#117—24no—
1087#117—28no—
1088#117—84no—
1089#117—82no—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—28no—
1093C2×C4⋊C4—28no—
1094C2×C4⋊C4—24no—
1095C2×C4⋊C4—84no—
1096C2×C4⋊C4C2×D418yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2412yes—
1155C2×C22⋊C4—28no—
1156C2×C22⋊C4—28no—
1157C2×C22⋊C4—28no—
1158C2×C22⋊C4—28no—
1159C2×C22⋊C4—84no—
1160C2×C22⋊C4C2×D4116yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C42C2×D418yes—
1243C2×C42C2412yes—
1244C2×C42C2414yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2414yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2414yes—
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2414yes—
1254C2×C42C2414yes—
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306C24—24no—
1307C24—42no—
1308C24—44no—
1309C24—44no—
1310C24—42no—
1311C24—44no—
1312C24—42no—
1313C24—44no—
1314C24—42no—
1315C24C22×D418yes—
1316C24C2511yescharacteristic
1317C24C2512yes—
1318C24C2512yes—
1319C24C2512yes—
1320C24C2511yescharacteristic
1321C24C2511yescharacteristic
1322C24C2512yes—
1323C24C2512yes—
1324#41—432no—
1325#41—416no—
1326#41—816no—
1327#41—816no—
1328#41—816no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—24no—
1332C2×Q8—22no—
1333C2×Q8—24no—
1334C2×Q8—24no—
1335C2×Q8—24no—
1336C2×Q8—42no—
1337C2×Q8—42no—
1338C2×Q8—44no—
1339C2×Q8—44no—
1340C2×Q8—42no—
1341C2×Q8—41no—
1342C2×Q8—41no—
1343C2×Q8—42no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—24no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—28no—
1354C2×D4—28no—
1355C2×D4—24no—
1356C2×D4—28no—
1357C2×D4—28no—
1358C2×D4—24no—
1359C2×D4—22no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—416no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—41no—
1411C2×D4—42no—
1412C2×D4—41no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—42no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—416no—
1422C2×D4—816no—
1423C2×D4C22×D414yes—
1424C2×D4C22×D414yes—
1425C2×D4C22×D418yes—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—28no—
1444C22×C4—28no—
1445C22×C4—44no—
1446C22×C4—41no—
1447C22×C4—44no—
1448C22×C4—42no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—41no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—42no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—42no—
1462C22×C4—44no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—816no—
1472C22×C4C22×D414yes—
1473C22×C4C22×D414yes—
1474C22×C4C22×D414yes—
1475C22×C4C22×D418yes—
1476C22×C4C22×D418yes—
1477C22×C4C22×D418yes—
1478C22×C4C22×D418yes—
1479C22×C4C22×D418yes—
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2512yes—
1484C22×C4C2514yes—
1485C22×C4C2514yes—
1486C22×C4C2514yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2512yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2514yes—
1496C22×C4C2512yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C22×C4C2512yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2511yescharacteristic
1504C22×C4C2512yes—
1505C22×C4C2511yescharacteristic
1506C22×C4C2511yescharacteristic
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—24no—
1512C4⋊C4—22no—
1513C4⋊C4—28no—
1514C4⋊C4—28no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—24no—
1524C4⋊C4—22no—
1525C4⋊C4—22no—
1526C4⋊C4—22no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—28no—
1532C4⋊C4—22no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—22no—
1536C4⋊C4—22no—
1537C4⋊C4—28no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—42no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—42no—
1548C4⋊C4—44no—
1549C4⋊C4—42no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4C22×D414yes—
1563C4⋊C4C22×D414yes—
1564C4⋊C4C22×D418yes—
1565C22⋊C4—22no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—22no—
1571C22⋊C4—28no—
1572C22⋊C4—24no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—24no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—22no—
1581C22⋊C4—22no—
1582C22⋊C4—22no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—22no—
1589C22⋊C4—28no—
1590C22⋊C4—28no—
1591C22⋊C4—22no—
1592C22⋊C4—24no—
1593C22⋊C4—22no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—22no—
1597C22⋊C4—24no—
1598C22⋊C4—22no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—42no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—44no—
1608C22⋊C4—42no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—42no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—42no—
1639C22⋊C4—44no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4C22×D418yes—
1643C22⋊C4C22×D418yes—
1644C22⋊C4C22×D418yes—
1645C22⋊C4C22×D418yes—
1646C42—24no—
1647C42—24no—
1648C42—28no—
1649C42—28no—
1650C42—24no—
1651C42—22no—
1652C42—22no—
1653C42—28no—
1654C42—24no—
1655C42—24no—
1656C42—44no—
1657C42—44no—
1658C42—42no—
1659C42—42no—
1660C42C22×D414yes—
1661C42C22×D414yes—
1662C42C22×D414yes—
1663C42C22×D414yes—
1664C23—24no—
1665C23—22no—
1666C23—24no—
1667C23—21no—
1668C23—22no—
1669C23—24no—
1670C23—24no—
1671C23—22no—
1672C23—22no—
1673C23—21no—
1674C23—22no—
1675C23—22no—
1676C23—21no—
1677C23—22no—
1678C23—21no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—24no—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—21no—
1690C23—21no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—24no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—21no—
1704C23—21no—
1705C23—48no—
1706C23—48no—
1707C23—48no—
1708C23—48no—
1709C23—84no—
1710C23—84no—
1711C23—88no—
1712C23—88no—
1713C23—164no—
1714C23—164no—
1715C23C23×D414yes—
1716C23C23×D412yes—
1717C23C23×D414yes—
1718C23C2611yescharacteristic
1719Q8—48no—
1720Q8—48no—
1721Q8—44no—
1722Q8—82no—
1723Q8—84no—
1724Q8—84no—
1725D4—28no—
1726D4—28no—
1727D4—48no—
1728D4—48no—
1729D4—44no—
1730D4—44no—
1731D4—48no—
1732D4—44no—
1733D4—48no—
1734D4—48no—
1735D4—48no—
1736D4—48no—
1737D4—44no—
1738D4—48no—
1739D4—44no—
1740D4—84no—
1741D4—82no—
1742D4—84no—
1743D4—84no—
1744D4—88no—
1745D4—84no—
1746D4—88no—
1747D4—84no—
1748D4—84no—
1749D4—88no—
1750D4—88no—
1751D4—84no—
1752D4—84no—
1753D4—84no—
1754D4—88no—
1755D4—164no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—24no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—28no—
1766C2×C4—21no—
1767C2×C4—24no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—24no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—24no—
1784C2×C4—24no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—24no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—24no—
1795C2×C4—24no—
1796C2×C4—24no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—24no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—24no—
1807C2×C4—24no—
1808C2×C4—24no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—44no—
1818C2×C4—48no—
1819C2×C4—48no—
1820C2×C4—48no—
1821C2×C4—48no—
1822C2×C4—48no—
1823C2×C4—44no—
1824C2×C4—48no—
1825C2×C4—44no—
1826C2×C4—44no—
1827C2×C4—48no—
1828C2×C4—48no—
1829C2×C4—84no—
1830C2×C4—84no—
1831C2×C4—84no—
1832C2×C4—88no—
1833C2×C4—88no—
1834C2×C4—84no—
1835C2×C4—84no—
1836C2×C4—164no—
1837C2×C4—164no—
1838C2×C4C23×D412yes—
1839C2×C4C23×D414yes—
1840C2×C4C23×D412yes—
1841C2×C4C23×D414yes—
1842C2×C4C23×D412yes—
1843C2×C4C23×D412yes—
1844C2×C4C23×D412yes—
1845C2×C4C23×D412yes—
1846C2×C4#58514yes—
1847C22—22no—
1848C22—24no—
1849C22—24no—
1850C22—22no—
1851C22—24no—
1852C22—24no—
1853C22—22no—
1854C22—24no—
1855C22—24no—
1856C22—44no—
1857C22—42no—
1858C22—44no—
1859C22—44no—
1860C22—42no—
1861C22—44no—
1862C22—42no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—42no—
1868C22—44no—
1869C22—42no—
1870C22—42no—
1871C22—44no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—42no—
1877C22—42no—
1878C22—41no—
1879C22—42no—
1880C22—41no—
1881C22—42no—
1882C22—41no—
1883C22—42no—
1884C22—42no—
1885C22—41no—
1886C22—42no—
1887C22—42no—
1888C22—41no—
1889C22—41no—
1890C22—42no—
1891C22—816no—
1892C22—168no—
1893C22C24×D411yescharacteristic
1894C22C2×#58512yes—
1895C22H(7,𝔽2)12yes—
1896C22H(7,𝔽2)11yescharacteristic
1897C222−1+611yescharacteristic
1898C4—22no—
1899C4—22no—
1900C4—24no—
1901C4—24no—
1902C4—22no—
1903C4—22no—
1904C4—22no—
1905C4—42no—
1906C4—42no—
1907C4—42no—
1908C4—42no—
1909C4—44no—
1910C4—44no—
1911C4—41no—
1912C4—42no—
1913C4—41no—
1914C4—44no—
1915C4—42no—
1916C4—41no—
1917C4—44no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—42no—
1922C4—42no—
1923C4—42no—
1924C4#344914yes—
1925C2—44no—
1926C2—42no—
1927C2—44no—
1928C2—81no—
1929C2—82no—
1930C2—82no—
1931C2—82no—
1932C2—81no—
1933C2C2×#344911yescharacteristic
1934C2#6284211yescharacteristic
1935C2#6285311yescharacteristic
1936C2#6304312yes—
1937C2#6305112yes—
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×#3513C2semidirect
2. C2×#3506C2semidirect
3. #42681C2semidirect
4. #42677C2semidirect
5. #42482C2semidirect
6. #42478C2semidirect
7. #42445C2semidirect
8. #42440C2semidirect
9. #42432C2semidirect
10. #42420C2semidirect
11. #41422C2semidirect
12. #41418C2semidirect
13. #41378C2semidirect
14. #40605C2semidirect
15. #40601C2semidirect
16. #40535C2semidirect
17. #40530C2semidirect
18. #40498C2semidirect
19. #37633C2semidirect
20. #37621C2semidirect
21. #37545C2semidirect
22. #37452C2semidirect
23. #37444C2semidirect
24. #37443C2semidirect
25. #36687C2semidirect
26. #36652C2semidirect
27. #36062C2semidirect
28. #36051C2semidirect
29. #35923C2semidirect
30. #35912C2semidirect
31. #35823C2semidirect
32. #35763C2semidirect
33. #35758C2semidirect
34. #35682C2semidirect
35. #34194C2semidirect
39. C2×#559C22semidirect
40. C2×#556C22semidirect
42. C2×#555C22semidirect
47. C2×#553C22semidirect
51. C2×#550C22semidirect
54. C2×#547C22semidirect
63. C2×#538C22semidirect
65. C2×#533C22semidirect
66. C2×#532C22semidirect
70. C2×#525C22semidirect
71. C2×#525C22semidirect
74. C2×#520C22semidirect
77. #2821C22semidirect
78. #2821C22semidirect
79. #2820C22semidirect
80. #2819C22semidirect
81. #2818C22semidirect
82. #2818C22semidirect
83. #2817C22semidirect
84. #2816C22semidirect
85. #2816C22semidirect
86. #2816C22semidirect
88. #2815C22semidirect
90. #2814C22semidirect
91. #2814C22semidirect
92. #2814C22semidirect
93. #2814C22semidirect
96. #2813C22semidirect
97. #2813C22semidirect
98. #2813C22semidirect
99. #2813C22semidirect
100. #2813C22semidirect
102. #2812C22semidirect
103. #2722C22semidirect
104. #2717C22semidirect
105. #2715C22semidirect
106. #2710C22semidirect
107. #2709C22semidirect
108. #2706C22semidirect
109. #2700C22semidirect
110. #2695C22semidirect
111. #2691C22semidirect
112. #2691C22semidirect
113. #2687C22semidirect
115. #2686C22semidirect
117. #2680C22semidirect
118. #2678C22semidirect
119. #2676C22semidirect
120. #2675C22semidirect
121. #2674C22semidirect
123. #2673C22semidirect
124. #2671C22semidirect
125. #2670C22semidirect
127. #2663C22semidirect
128. #2663C22semidirect
129. #2662C22semidirect
130. #2661C22semidirect
131. #2661C22semidirect
132. #2660C22semidirect
133. #2660C22semidirect
134. #2640C22semidirect
135. #2640C22semidirect
136. #2638C22semidirect
137. #2637C22semidirect
138. #2637C22semidirect
139. #2637C22semidirect
141. #2630C22semidirect
142. #2630C22semidirect
143. #2630C22semidirect
144. #2630C22semidirect
145. #2630C22semidirect
146. #2629C22semidirect
147. #2629C22semidirect
148. #2628C22semidirect
149. #2627C22semidirect
150. #2626C22semidirect
151. #2625C22semidirect
152. #2624C22semidirect
153. #2622C22semidirect
154. #2621C22semidirect
156. #2619C22semidirect
157. #2618C22semidirect
158. #2618C22semidirect
159. #2618C22semidirect
161. #2617C22semidirect
162. #2617C22semidirect
163. #2616C22semidirect
164. #2616C22semidirect
166. #2615C22semidirect
169. #2602C22semidirect
170. #2599C22semidirect
171. #2599C22semidirect
172. #2579C22semidirect
173. #2567C22semidirect
174. #2566C22semidirect
175. #2565C22semidirect
176. #2565C22semidirect
177. #2564C22semidirect
178. #2564C22semidirect
179. #2563C22semidirect
180. #2562C22semidirect
181. #2562C22semidirect
182. #2557C22semidirect
183. #2557C22semidirect
184. #2555C22semidirect
185. #2553C22semidirect
186. #2547C22semidirect
187. #2546C22semidirect
188. #2545C22semidirect
189. #2543C22semidirect
190. #2543C22semidirect
191. #2540C22semidirect
192. #2540C22semidirect
193. #2538C22semidirect
195. #2537C22semidirect
196. #2537C22semidirect
198. #2535C22semidirect
199. #2534C22semidirect
200. #2521C22semidirect
202. #2499C22semidirect
203. #2498C22semidirect
204. #2498C22semidirect
205. #2491C22semidirect
207. #2485C22semidirect
208. #2485C22semidirect
209. #2484C22semidirect
210. #2482C22semidirect
211. #2480C22semidirect
212. #2478C22semidirect
213. #2476C22semidirect
214. #2469C22semidirect
215. #2468C22semidirect
216. #2467C22semidirect
217. #2466C22semidirect
218. #2465C22semidirect
219. #2464C22semidirect
220. #2464C22semidirect
221. #2463C22semidirect
222. #2462C22semidirect
223. #2460C22semidirect
224. #2458C22semidirect
225. #2456C22semidirect
226. #2456C22semidirect
227. #2442C22semidirect
228. #2441C22semidirect
229. #2440C22semidirect
230. #2439C22semidirect
231. #2430C22semidirect
232. #2430C22semidirect
235. #2427C22semidirect
236. #2427C22semidirect
237. #2424C22semidirect
240. #2422C22semidirect
243. #2417C22semidirect
244. #2417C22semidirect
245. #2416C22semidirect
246. #2416C22semidirect
247. #2415C22semidirect
248. #2414C22semidirect
249. #2414C22semidirect
250. #2413C22semidirect
251. #2412C22semidirect
252. #2411C22semidirect
258. #2407C22semidirect
259. #2406C22semidirect
260. #2404C22semidirect
261. #2398C22semidirect
262. #2398C22semidirect
263. #2397C22semidirect
264. #2397C22semidirect
265. #2395C22semidirect
266. #2395C22semidirect
267. #2395C22semidirect
268. #2392C22semidirect
269. #2392C22semidirect
270. #2392C22semidirect
271. #2392C22semidirect
273. #2388C22semidirect
274. #2388C22semidirect
275. #2388C22semidirect
276. #2388C22semidirect
277. #2363C22semidirect
278. #2362C22semidirect
279. #2361C22semidirect
280. #2360C22semidirect
282. #2354C22semidirect
283. #2352C22semidirect
284. #2352C22semidirect
285. #2352C22semidirect
286. D4×C4⋊C4C22semidirect
287. D4×C4⋊C4C22semidirect
288. #2345C22semidirect
289. #2342C22semidirect
293. #2318C22semidirect
294. #2318C22semidirect
295. #2285C22semidirect
296. #2283C22semidirect
297. #2280C22semidirect
298. C2×#380C22semidirect
299. #2275C22semidirect
300. #2275C22semidirect
458. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35132
C2×#35062
#426812
#426772
#424822
#424782
#424452
#424402
#424322
#424202
#414222
#414182
#413782
#406052
#406012
#405352
#405302
#404982
#376332
#376212
#375452
#374522
#374442
#374432
#366872
#366522
#360622
#360512
#359232
#359122
#358232
#357632
#357582
#356822
#341942