Finite Group Databasebeta

← #7675053

Subgroups — #7675053

Order 512.

7077 conjugacy classes of subgroups.

The subgroup lattice has 1925 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3520C211yesmaximal, characteristic, complemented
2C22×#556C211yesmaximal, characteristic, complemented
3#59811C212yesmaximal, complemented
4#59755C212yesmaximal, complemented
5#59316C212yesmaximal, complemented
6#59244C212yesmaximal, complemented
7#59118C212yesmaximal, complemented
8#59114C212yesmaximal, complemented
9#59025C212yesmaximal, complemented
10#59017C212yesmaximal, complemented
11#44459C214yesmaximal, complemented
12#43549C214yesmaximal, complemented
13#43545C214yesmaximal, complemented
14#43506C214yesmaximal, complemented
15#39465C211yesmaximal, characteristic, complemented
16#39461C212yesmaximal, complemented
17#39337C211yesmaximal, characteristic, complemented
18#39333C212yesmaximal, complemented
19#39133C211yesmaximal, characteristic, complemented
20#39121C211yesmaximal, characteristic, complemented
21#38046C212yesmaximal, complemented
22#38030C212yesmaximal, complemented
23#36578C211yesmaximal, characteristic, complemented
24Q8×#123C211yesmaximal, characteristic, complemented
25#36427C211yesmaximal, characteristic, complemented
26#36426C211yesmaximal, characteristic, complemented
27#35469C212yesmaximal, complemented
28#35454C212yesmaximal, complemented
29#35092C212yesmaximal, complemented
30#35031C211yesmaximal, characteristic, complemented
31#34810C211yesmaximal, characteristic, complemented
32#34809C211yesmaximal, characteristic, complemented
33#34266C212yesmaximal, complemented
34#34245C211yesmaximal, characteristic, complemented
35C4×#534C211yesmaximal, characteristic, complemented
36#3520—216no—
37C2×#556—216no—
38C2×#556C2214yes—
39C2×#556C2212yes—
40C2×#556C2212yes—
41C2×#556C2211yescharacteristic, complemented
42C2×#556C2212yescomplemented
43C2×#556C2212yescomplemented
44C2×#556C2214yescomplemented
45C2×#554C2212yescomplemented
46C2×#552C2211yescharacteristic
47C2×#552C2211yescharacteristic, complemented
48C2×#551C2212yes—
49C2×#551C2212yescomplemented
50C2×D4×Q8C2211yescharacteristic
51C2×#548C2211yescharacteristic
52C2×#548C2211yescharacteristic, complemented
53C2×#547C2211yescharacteristic
54C2×#547C2211yescharacteristic, complemented
55C2×#546C2212yes—
56C2×#542C2212yescomplemented
57C2×#539C2212yes—
58C2×#539C2212yescomplemented
59C2×#536C2212yes—
60C2×#534C2211yescharacteristic
61C2×#533C2211yescharacteristic, complemented
62C22×C4⋊Q8C2211yescharacteristic, complemented
63C2×#529C2211yescharacteristic, complemented
64C22×#126C2212yes—
65C22×#126C2212yescomplemented
66C22×#124C2212yes—
67C2×#525C2211yescharacteristic
68C2×#525C2211yescharacteristic, complemented
69C22×C22⋊Q8C2211yescharacteristic
70C22×C22⋊Q8C2211yescharacteristic, complemented
71C22×C22⋊Q8C2211yescharacteristic, complemented
72C2×#520C2212yes—
73C22×C4×Q8C2212yescomplemented
74C22×C4×Q8C2211yescharacteristic, complemented
75C22×C4×D4C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77C22×#117C2211yescharacteristic
78C22×#117C2211yescharacteristic, complemented
79#2855C2212yescomplemented
80#2855C2211yescharacteristic, complemented
81#2854C2212yes—
82#2854C2211yescharacteristic, complemented
83#2853C2212yes—
84#2853C2212yescomplemented
85#2848C2211yescharacteristic, complemented
86#2847C2211yescharacteristic, complemented
87#2732C2214yescomplemented
88#2730C2214yescomplemented
89#2729C2214yescomplemented
90#2728C2214yescomplemented
91#2722C2214yescomplemented
92#2718C2214yescomplemented
93#2716C2214yescomplemented
94#2715C2214yescomplemented
95#2715C2214yescomplemented
96#2713C2214yescomplemented
97#2712C2214yescomplemented
98#2710C2214yes—
99#2700C2214yes—
100#2698C2214yescomplemented
101#2695C2214yescomplemented
102#2691C2214yescomplemented
103#2689C2214yescomplemented
104#2685C2214yescomplemented
105#2677C2214yescomplemented
106#2676C2214yes—
107#2674C2214yes—
108#2674C2214yescomplemented
109#2672C2214yes—
110#2670C2214yes—
111#2627C2212yescomplemented
112#2622C2212yes—
113#2618C2212yes—
114#2614C2212yes—
115#2614C2212yescomplemented
116#2613C2212yes—
117#2602C2214yescomplemented
118#2600C2214yes—
119#2561C2212yescomplemented
120#2560C2214yescomplemented
121#2560C2214yescomplemented
122#2559C2214yescomplemented
123#2557C2214yescomplemented
124#2555C2214yes—
125#2554C2214yescomplemented
126#2554C2214yescomplemented
127#2553C2214yescomplemented
128#2551C2212yescomplemented
129#2550C2212yescomplemented
130#2539C2212yes—
131#2538C2212yescomplemented
132#2536C2212yescomplemented
133#2534C2212yes—
134#2534C2212yescomplemented
135#2521C2214yescomplemented
136#2521C2214yescomplemented
137#2519C2214yescomplemented
138#2519C2214yescomplemented
139#2512C2214yescomplemented
140#2512C2214yescomplemented
141#2504C2212yes—
142#2504C2211yescharacteristic, complemented
143#2503C2211yescharacteristic, complemented
144#2502C2211yescharacteristic, complemented
145#2502C2212yescomplemented
146#2501C2211yescharacteristic, complemented
147#2500C2212yescomplemented
148#2499C2212yescomplemented
149#2498C2214yescomplemented
150#2496C2214yescomplemented
151#2492C2212yescomplemented
152#2491C2214yes—
153#2491C2212yescomplemented
154#2487C2211yescharacteristic
155#2487C2211yescharacteristic
156#2487C2212yes—
157#2487C2212yescomplemented
158#2486C2211yescharacteristic
159#2486C2211yescharacteristic
160#2485C2212yescomplemented
161#2485C2212yescomplemented
162#2485C2212yescomplemented
163#2484C2212yescomplemented
164#2484C2212yescomplemented
165#2483C2212yes—
166#2482C2212yescomplemented
167#2482C2212yescomplemented
168#2481C2214yescomplemented
169#2481C2214yescomplemented
170#2480C2214yescomplemented
171#2479C2214yescomplemented
172#2479C2214yescomplemented
173#2479C2214yescomplemented
174#2478C2214yescomplemented
175#2477C2214yescomplemented
176#2475C2214yescomplemented
177#2474C2214yes—
178#2472C2214yes—
179#2471C2214yescomplemented
180#2469C2214yescomplemented
181#2469C2214yescomplemented
182#2469C2214yescomplemented
183#2469C2214yescomplemented
184#2468C2214yescomplemented
185#2467C2214yescomplemented
186#2467C2214yescomplemented
187#2466C2214yescomplemented
188#2465C2214yescomplemented
189#2465C2214yescomplemented
190#2462C2214yescomplemented
191#2462C2214yescomplemented
192#2461C2214yes—
193#2459C2214yes—
194#2458C2214yescomplemented
195#2458C2214yescomplemented
196#2452C2212yescomplemented
197#2451C2212yescomplemented
198#2448C2214yescomplemented
199#2448C2212yescomplemented
200#2446C2214yescomplemented
201#2446C2212yescomplemented
202#2441C2212yescomplemented
203#2440C2212yescomplemented
204#2439C2212yescomplemented
205#2439C2212yescomplemented
206#2429C2212yescomplemented
207#2426C2212yescomplemented
208#2423C2214yescomplemented
209#2423C2212yescomplemented
210#2423C2212yescomplemented
211#2421C2214yescomplemented
212#2421C2212yescomplemented
213#2421C2212yescomplemented
214#2415C2212yes—
215#2415C2212yescomplemented
216#2414C2212yes—
217#2414C2212yescomplemented
218#2413C2212yes—
219#2413C2212yescomplemented
220#2412C2212yes—
221#2412C2212yes—
222#2411C2212yes—
223#2411C2212yescomplemented
224#2409C2212yescomplemented
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2406C2212yes—
228#2405C2212yes—
229#2404C2212yes—
230#2395C2214yescomplemented
231#2395C2212yescomplemented
232#2395C2212yescomplemented
233#2368C2214yescomplemented
234#2367C2214yescomplemented
235#2367C2214yescomplemented
236#2365C2214yescomplemented
237#2365C2214yescomplemented
238#2363C2212yescomplemented
239#2362C2214yescomplemented
240#2362C2212yescomplemented
241#2362C2212yescomplemented
242#2362C2212yescomplemented
243#2362C2214yescomplemented
244#2360C2214yescomplemented
245#2360C2214yescomplemented
246#2354C2212yescomplemented
247#2352C2212yescomplemented
248#2351C2212yescomplemented
249Q8×C4⋊C4C2212yescomplemented
250#2344C2211yescharacteristic, complemented
251#2344C2211yescharacteristic, complemented
252#2342C2212yes—
253#2342C2212yes—
254#2341C2212yescomplemented
255Q8×C22⋊C4C2212yescomplemented
256Q8×C22⋊C4C2211yescharacteristic, complemented
257Q8×C22⋊C4C2211yescharacteristic, complemented
258#2332C2214yescomplemented
259#2325C2212yes—
260#2325C2212yes—
261#2322C2211yescharacteristic
262#2322C2212yes—
263#2322C2211yescharacteristic
264#2322C2212yes—
265#2322C2212yescomplemented
266#2322C2212yescomplemented
267#2321C2212yes—
268#2321C2211yescharacteristic
269#2321C2211yescharacteristic
270#2321C2212yescomplemented
271#2315C2211yescharacteristic
272#2313C2212yescomplemented
273#2310C2212yescomplemented
274#2308C2211yescharacteristic
275#2308C2211yescharacteristic
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2212yescomplemented
278C4×#123C2212yes—
279C4×#123C2211yescharacteristic
280C4×#123C2211yescharacteristic
281C4×#123C2212yes—
282C4×#123C2212yes—
283C4×#123C2212yes—
284C4×#123C2212yescomplemented
285C4×#123C2212yescomplemented
286C4×#123C2212yescomplemented
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#120C2211yescharacteristic
290C4×#120C2211yescharacteristic
291C4×#120C2212yes—
292#2297C2212yes—
293#2297C2212yescomplemented
294#2296C2212yescomplemented
295#2296C2212yescomplemented
296#2285C2212yescomplemented
297#2280C2211yescharacteristic
298#2280C2212yescomplemented
299#2274C2212yescomplemented
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2312yes—
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C23×D4C2311yescharacteristic
309C24×C4C2311yescharacteristic
310C24×C4C2311yescharacteristic
311C24×C4C2311yescharacteristic
312#556—216no—
313#556—216no—
314#556—232no—
315#556—232no—
316#556—216no—
317#556—216no—
318#556—28no—
319#554—216no—
320#552—28no—
321#552—28no—
322#551—216no—
323#551—216no—
324D4×Q8—28no—
325#548—28no—
326#548—28no—
327#547—28no—
328#547—28no—
329#546—216no—
330#542—216no—
331#539—216no—
332#539—216no—
333#536—216no—
334#534—28no—
335#533—28no—
336C2×C4⋊Q8—28no—
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344#529—28no—
345C2×#126—216no—
346C2×#126—216no—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#124—216no—
365C2×#124C2314yes—
366C2×#124C2314yes—
367C2×#124C2314yes—
368C2×#124C2314yes—
369C2×#124C2314yes—
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374#525—28no—
375#525—28no—
376C2×#123C2311yescharacteristic
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2311yescharacteristic
393C2×C22⋊Q8—28no—
394C2×C22⋊Q8—28no—
395C2×C22⋊Q8D4116yescomplemented
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#120C2311yescharacteristic
431C2×#120C2311yescharacteristic
432C2×#120C2312yes—
433C2×#120C2312yes—
434C2×#120C2312yes—
435C2×#120C2312yes—
436#520—216no—
437C2×C4×Q8—28no—
438C2×C4×Q8—216no—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2314yes—
444C2×C4×Q8C2314yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2314yes—
449C2×C4×Q8C2314yes—
450C2×C4×Q8C2314yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×D4—28no—
454C2×C4×D4—28no—
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×#117—28no—
479C2×#117—28no—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2311yescharacteristic
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2314yes—
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2311yescharacteristic
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2311yescharacteristic
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2311yescharacteristic
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2311yescharacteristic
510C22×C22⋊C4C2311yescharacteristic
511C22×C22⋊C4C2311yescharacteristic
512C22×C22⋊C4C2311yescharacteristic
513C22×C22⋊C4C2311yescharacteristic
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2312yes—
516C22×C22⋊C4C2312yes—
517C22×C22⋊C4C2311yescharacteristic
518C22×C22⋊C4C2312yes—
519C22×C42C2312yes—
520C22×C42C2312yes—
521C22×C42C2311yescharacteristic
522C22×C42C2312yes—
523C22×C42C2311yescharacteristic
524C22×C42C2312yes—
525#400C2314yes—
526#400C2312yes—
527#400C2312yes—
528#400C2314yes—
529#400C2314yes—
530#400C2314yes—
531#400C2314yes—
532#399C2314yes—
533#399C2312yes—
534#399C2312yes—
535#399C2314yes—
536#399C2314yes—
537#399C2314yes—
538#399C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2312yes—
545#398C2314yes—
546#398C2312yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2312yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2312yes—
562#397C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#395C2314yes—
572#395C2314yes—
573#395C2314yes—
574#395C2314yes—
575#395C2314yes—
576#395C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#393C2314yes—
592#393C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#391C2314yes—
602#391C2314yes—
603#391C2314yes—
604#391C2314yes—
605#391C2314yes—
606#391C2314yes—
607#391C2314yes—
608#391C2312yes—
609#391C2314yes—
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2314yes—
614#391C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2312yes—
619#390C2314yes—
620#390C2314yes—
621#390C2312yes—
622#390C2312yes—
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2314yes—
641#389C2312yes—
642#389C2314yes—
643#389C2314yes—
644#389C2314yes—
645#389C2314yes—
646#389C2314yes—
647#389C2312yes—
648#389C2312yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#386C2312yes—
718#386C2314yes—
719#386C2311yescharacteristic
720#386C2311yescharacteristic
721#386C2312yes—
722#386C2311yescharacteristic
723#386C2311yescharacteristic
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2312yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2314yes—
744#386C2314yes—
745#385C2311yescharacteristic
746#385C2312yes—
747#385C2311yescharacteristic
748#385C2311yescharacteristic
749#385C2311yescharacteristic
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2312yes—
762#385C2312yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2312yes—
769#385C2314yes—
770#385C2312yes—
771#384C2312yes—
772#384C2314yes—
773#384C2312yes—
774#382C2312yes—
775#382C2314yes—
776#382C2312yes—
777#381C2312yes—
778#381C2312yes—
779#381C2311yescharacteristic
780#381C2311yescharacteristic
781#381C2312yes—
782#381C2312yes—
783#381C2312yes—
784#381C2312yes—
785#381C2312yes—
786#381C2312yes—
787#381C2312yes—
788#381C2314yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2311yescharacteristic
796#380C2312yes—
797#380C2312yes—
798#380C2314yes—
799#380C2312yes—
800#380C2314yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2314yes—
805#380C2314yes—
806#379C2311yescharacteristic
807#379C2312yes—
808#379C2312yes—
809#379C2311yescharacteristic
810#379C2312yes—
811#379C2314yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2312yes—
851C4×C22⋊C4C2314yes—
852C2×#95C2312yes—
853C25C2411yescharacteristic
854C25C2411yescharacteristic
855C25C2411yescharacteristic
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—44no—
863C22×Q8—24no—
864C22×Q8—28no—
865C22×Q8—28no—
866C22×Q8—44no—
867C22×Q8—44no—
868C22×Q8—44no—
869C22×Q8C2×D418yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2414yes—
872C22×Q8C2412yes—
873C22×Q8C2414yes—
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2412yes—
878C22×D4—24no—
879C22×D4—24no—
880C22×D4—24no—
881C22×D4—24no—
882C22×D4—42no—
883C22×D4—42no—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C23×C4—24no—
900C23×C4—24no—
901C23×C4—44no—
902C23×C4—44no—
903C23×C4—44no—
904C23×C4C2×D418yes—
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C4⋊Q8—24no—
935C4⋊Q8—28no—
936C4⋊Q8—28no—
937C4⋊Q8—28no—
938C4⋊Q8—216no—
939C4⋊Q8—24no—
940C4⋊Q8—216no—
941#126—216no—
942#126—216no—
943#126—216no—
944#126—216no—
945#126—28no—
946#126—28no—
947#126—28no—
948#126—216no—
949#126—216no—
950#126—216no—
951#126—216no—
952#126—28no—
953#126—28no—
954#125—24no—
955#125—28no—
956#125—28no—
957#125—28no—
958#124—24no—
959#124—28no—
960#124—216no—
961#124—216no—
962#124—216no—
963#124—216no—
964#124—28no—
965#124—28no—
966#124—216no—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—24no—
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—44no—
982#123—44no—
983#123#4118yescomplemented
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—216no—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—24no—
992C22⋊Q8—24no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—24no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—216no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—216no—
1002C22⋊Q8—44no—
1003C22⋊Q8C2×D418yes—
1004C22⋊Q8C2×D418yes—
1005C22⋊Q8C2×D4116yes—
1006C22⋊Q8C2×D418yes—
1007C22⋊Q8C2×D418yes—
1008C22⋊Q8C2×D4116yes—
1009#121—24no—
1010#121—24no—
1011#121—28no—
1012#121—24no—
1013#121—28no—
1014#121—28no—
1015#121—28no—
1016#121—28no—
1017#121—44no—
1018#120—28no—
1019#120—24no—
1020#120—28no—
1021#120—28no—
1022#120—24no—
1023#120—44no—
1024C4×Q8—28no—
1025C4×Q8—28no—
1026C4×Q8—216no—
1027C4×Q8—24no—
1028C4×Q8—24no—
1029C4×Q8—216no—
1030C4×Q8—216no—
1031C4×Q8—216no—
1032C4×Q8—216no—
1033C4×Q8—28no—
1034C4×Q8—28no—
1035C4×Q8—24no—
1036C4×Q8—44no—
1037C4×Q8—44no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—28no—
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—24no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—44no—
1060C4×D4—44no—
1061#117—28no—
1062#117—28no—
1063#117—28no—
1064#117—28no—
1065#117—28no—
1066#117—24no—
1067#117—28no—
1068#117—28no—
1069#117—216no—
1070#117—28no—
1071#117—28no—
1072#117—24no—
1073#117—28no—
1074#117—28no—
1075#117—44no—
1076#117—44no—
1077C2×C4⋊C4—24no—
1078C2×C4⋊C4—24no—
1079C2×C4⋊C4—24no—
1080C2×C4⋊C4—24no—
1081C2×C4⋊C4—28no—
1082C2×C4⋊C4—28no—
1083C2×C4⋊C4—28no—
1084C2×C4⋊C4—28no—
1085C2×C4⋊C4—28no—
1086C2×C4⋊C4—24no—
1087C2×C4⋊C4C2×D418yes—
1088C2×C4⋊C4C2×D4116yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C22⋊C4—28no—
1152C2×C22⋊C4—24no—
1153C2×C22⋊C4—24no—
1154C2×C22⋊C4—28no—
1155C2×C22⋊C4—24no—
1156C2×C22⋊C4—24no—
1157C2×C22⋊C4—28no—
1158C2×C22⋊C4—28no—
1159C2×C22⋊C4—24no—
1160C2×C22⋊C4—42no—
1161C2×C22⋊C4C2×D4116yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2411yescharacteristic
1232C2×C22⋊C4C2412yes—
1233C2×C42—28no—
1234C2×C42—28no—
1235C2×C42—24no—
1236C2×C42—24no—
1237C2×C42—28no—
1238C2×C42—44no—
1239C2×C42C2411yescharacteristic
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2414yes—
1245C2×C42C2414yes—
1246C2×C42C2414yes—
1247C2×C42C2414yes—
1248C2×C42C2412yes—
1249C2×C42C2414yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2411yescharacteristic
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2414yes—
1258C2×C42C2414yes—
1259C2×C42C2414yes—
1260C2×C42C2414yes—
1261C2×C42C2414yes—
1262C2×C42C2414yes—
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2412yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314C24—22no—
1315C24—22no—
1316C24—22no—
1317C24—22no—
1318C24—22no—
1319C24—22no—
1320C24—22no—
1321C24—42no—
1322C24—42no—
1323C24—41no—
1324C24—42no—
1325C24—42no—
1326C24—42no—
1327C24—42no—
1328C24C22×D414yes—
1329C24C2512yes—
1330C24C2511yescharacteristic
1331C24C2512yes—
1332C24C2511yescharacteristic
1333C24C2511yescharacteristic
1334C24C2511yescharacteristic
1335C24C2511yescharacteristic
1336#41—432no—
1337#41—88no—
1338#41—88no—
1339C2×Q8—24no—
1340C2×Q8—28no—
1341C2×Q8—28no—
1342C2×Q8—22no—
1343C2×Q8—24no—
1344C2×Q8—28no—
1345C2×Q8—28no—
1346C2×Q8—24no—
1347C2×Q8—24no—
1348C2×Q8—24no—
1349C2×Q8—24no—
1350C2×Q8—44no—
1351C2×Q8—44no—
1352C2×Q8—44no—
1353C2×Q8—42no—
1354C2×Q8—44no—
1355C2×Q8—432no—
1356C2×Q8—416no—
1357C2×Q8—88no—
1358C2×Q8C22×D414yes—
1359C2×Q8C22×D414yes—
1360C2×Q8C22×D418yes—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—22no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—22no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—44no—
1391C2×D4—42no—
1392C2×D4—416no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—416no—
1403C2×D4C2×#4114yes—
1404C22×C4—22no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—24no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—22no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—416no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—44no—
1448C22×C4—42no—
1449C22×C4—41no—
1450C22×C4—44no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—416no—
1465C22×C4—88no—
1466C22×C4C22×D418yes—
1467C22×C4C22×D414yes—
1468C22×C4C22×D414yes—
1469C22×C4C22×D414yes—
1470C22×C4C22×D414yes—
1471C22×C4C22×D418yes—
1472C22×C4C22×D414yes—
1473C22×C4C22×D414yes—
1474C22×C4C2×#4114yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2514yes—
1478C22×C4C2512yes—
1479C22×C4C2514yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2514yes—
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2512yes—
1489C22×C4C2514yes—
1490C22×C4C2512yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C4⋊C4—22no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—22no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—22no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—28no—
1519C4⋊C4—28no—
1520C4⋊C4—28no—
1521C4⋊C4—28no—
1522C4⋊C4—24no—
1523C4⋊C4—28no—
1524C4⋊C4—28no—
1525C4⋊C4—24no—
1526C4⋊C4—22no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—28no—
1536C4⋊C4—24no—
1537C4⋊C4—28no—
1538C4⋊C4—28no—
1539C4⋊C4—28no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—42no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—42no—
1549C4⋊C4—44no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4C22×D414yes—
1558C4⋊C4C22×D418yes—
1559C4⋊C4C22×D418yes—
1560C4⋊C4C22×D414yes—
1561C4⋊C4C22×D418yes—
1562C4⋊C4C22×D418yes—
1563C4⋊C4C22×D418yes—
1564C4⋊C4C2×#4118yes—
1565C22⋊C4—22no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—24no—
1569C22⋊C4—22no—
1570C22⋊C4—22no—
1571C22⋊C4—22no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—22no—
1577C22⋊C4—24no—
1578C22⋊C4—28no—
1579C22⋊C4—22no—
1580C22⋊C4—22no—
1581C22⋊C4—24no—
1582C22⋊C4—22no—
1583C22⋊C4—28no—
1584C22⋊C4—28no—
1585C22⋊C4—22no—
1586C22⋊C4—22no—
1587C22⋊C4—22no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—28no—
1593C22⋊C4—28no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—28no—
1607C22⋊C4—28no—
1608C22⋊C4—42no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—42no—
1620C22⋊C4—44no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—42no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4C22×D418yes—
1631C22⋊C4C22×D418yes—
1632C22⋊C4C22×D418yes—
1633C22⋊C4C22×D418yes—
1634C22⋊C4C2×#4114yes—
1635C22⋊C4C2×#4118yes—
1636C42—22no—
1637C42—28no—
1638C42—28no—
1639C42—28no—
1640C42—28no—
1641C42—22no—
1642C42—22no—
1643C42—24no—
1644C42—24no—
1645C42—22no—
1646C42—28no—
1647C42—28no—
1648C42—24no—
1649C42—24no—
1650C42—24no—
1651C42—24no—
1652C42—24no—
1653C42—28no—
1654C42—24no—
1655C42—24no—
1656C42—42no—
1657C42—42no—
1658C42—44no—
1659C42—44no—
1660C42—44no—
1661C42—44no—
1662C23—22no—
1663C23—22no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—22no—
1668C23—21no—
1669C23—22no—
1670C23—22no—
1671C23—21no—
1672C23—21no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—28no—
1677C23—22no—
1678C23—21no—
1679C23—22no—
1680C23—22no—
1681C23—21no—
1682C23—22no—
1683C23—21no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—24no—
1690C23—24no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—44no—
1695C23—44no—
1696C23—44no—
1697C23—44no—
1698C23—44no—
1699C23—44no—
1700C23—44no—
1701C23—82no—
1702C23—84no—
1703C23—84no—
1704C23—84no—
1705C23—84no—
1706C23—84no—
1707C23—84no—
1708C23C23×D412yes—
1709C23C23×D412yes—
1710C23C23×D412yes—
1711C23C22×#4112yes—
1712C23C22×#4112yes—
1713C23#58512yes—
1714C23C2611yescharacteristic
1715Q8—28no—
1716Q8—28no—
1717Q8—48no—
1718Q8—416no—
1719Q8—416no—
1720Q8—48no—
1721Q8—44no—
1722Q8—84no—
1723D4—28no—
1724D4—48no—
1725D4—48no—
1726D4—44no—
1727D4—48no—
1728D4—44no—
1729D4—48no—
1730D4—44no—
1731D4—48no—
1732D4—44no—
1733D4—84no—
1734D4—84no—
1735D4—84no—
1736D4—84no—
1737D4—164no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—216no—
1754C2×C4—28no—
1755C2×C4—28no—
1756C2×C4—28no—
1757C2×C4—28no—
1758C2×C4—21no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—24no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—24no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—24no—
1781C2×C4—24no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—24no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—24no—
1790C2×C4—21no—
1791C2×C4—24no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—24no—
1795C2×C4—24no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—24no—
1803C2×C4—44no—
1804C2×C4—44no—
1805C2×C4—44no—
1806C2×C4—48no—
1807C2×C4—48no—
1808C2×C4—44no—
1809C2×C4—48no—
1810C2×C4—48no—
1811C2×C4—48no—
1812C2×C4—44no—
1813C2×C4—44no—
1814C2×C4—44no—
1815C2×C4—48no—
1816C2×C4—48no—
1817C2×C4—44no—
1818C2×C4—44no—
1819C2×C4—84no—
1820C2×C4—82no—
1821C2×C4—82no—
1822C2×C4—84no—
1823C2×C4—84no—
1824C2×C4—84no—
1825C2×C4—82no—
1826C2×C4—84no—
1827C2×C4C23×D412yes—
1828C2×C4C23×D412yes—
1829C2×C4C23×D414yes—
1830C2×C4C23×D414yes—
1831C2×C4C23×D414yes—
1832C2×C4C23×D414yes—
1833C2×C4C23×D412yes—
1834C2×C4C23×D412yes—
1835C2×C4C22×#4114yes—
1836C2×C4C22×#4114yes—
1837C2×C4C22×#4112yes—
1838C2×C4#58514yes—
1839C22—24no—
1840C22—22no—
1841C22—22no—
1842C22—24no—
1843C22—24no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—22no—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—42no—
1852C22—42no—
1853C22—41no—
1854C22—41no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—44no—
1862C22—42no—
1863C22—41no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—41no—
1868C22—42no—
1869C22—44no—
1870C22—42no—
1871C22—42no—
1872C22—42no—
1873C22—42no—
1874C22—41no—
1875C22—88no—
1876C22—88no—
1877C22—88no—
1878C22D4×#4114yes—
1879C22C24×D411yescharacteristic
1880C22C23×#4111yescharacteristic
1881C22C2×#58512yes—
1882C22C2×#58511yescharacteristic
1883C222−1+612yes—
1884C4—24no—
1885C4—22no—
1886C4—22no—
1887C4—22no—
1888C4—24no—
1889C4—24no—
1890C4—24no—
1891C4—24no—
1892C4—24no—
1893C4—22no—
1894C4—44no—
1895C4—42no—
1896C4—42no—
1897C4—41no—
1898C4—41no—
1899C4—42no—
1900C4—41no—
1901C4—44no—
1902C4—41no—
1903C4—42no—
1904C4—42no—
1905C4—42no—
1906C4—42no—
1907C4—44no—
1908C4—41no—
1909C4—42no—
1910C4—44no—
1911C4#348514yes—
1912C2—24no—
1913C2—42no—
1914C2—42no—
1915C2—42no—
1916C2—82no—
1917C2—82no—
1918C2—81no—
1919C2C2×D4×#4111yescharacteristic
1920C2C2×#348511yescharacteristic
1921C2#6284811yescharacteristic
1922C2#6291112yes—
1923C2#6299512yes—
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×#3520C2semidirect
2. C22×#556C2semidirect
3. #59811C2semidirect
4. #59755C2semidirect
5. #59316C2semidirect
6. #59244C2semidirect
7. #59118C2semidirect
8. #59114C2semidirect
9. #59025C2semidirect
10. #59017C2semidirect
11. #44459C2semidirect
12. #43549C2semidirect
13. #43545C2semidirect
14. #43506C2semidirect
15. #39465C2semidirect
16. #39461C2semidirect
17. #39337C2semidirect
18. #39333C2semidirect
19. #39133C2semidirect
20. #39121C2semidirect
21. #38046C2semidirect
22. #38030C2semidirect
23. #36578C2semidirect
24. Q8×#123C2semidirect
25. #36427C2semidirect
26. #36426C2semidirect
27. #35469C2semidirect
28. #35454C2semidirect
29. #35092C2semidirect
30. #35031C2semidirect
31. #34810C2semidirect
32. #34809C2semidirect
33. #34266C2semidirect
34. #34245C2semidirect
35. C4×#534C2semidirect
41. C2×#556C22semidirect
42. C2×#556C22semidirect
43. C2×#556C22semidirect
44. C2×#556C22semidirect
45. C2×#554C22semidirect
47. C2×#552C22semidirect
49. C2×#551C22semidirect
52. C2×#548C22semidirect
54. C2×#547C22semidirect
56. C2×#542C22semidirect
58. C2×#539C22semidirect
61. C2×#533C22semidirect
62. C22×C4⋊Q8C22semidirect
63. C2×#529C22semidirect
65. C22×#126C22semidirect
68. C2×#525C22semidirect
70. C22×C22⋊Q8C22semidirect
71. C22×C22⋊Q8C22semidirect
73. C22×C4×Q8C22semidirect
74. C22×C4×Q8C22semidirect
78. C22×#117C22semidirect
79. #2855C22semidirect
80. #2855C22semidirect
82. #2854C22semidirect
84. #2853C22semidirect
85. #2848C22semidirect
86. #2847C22semidirect
87. #2732C22semidirect
88. #2730C22semidirect
89. #2729C22semidirect
90. #2728C22semidirect
91. #2722C22semidirect
92. #2718C22semidirect
93. #2716C22semidirect
94. #2715C22semidirect
95. #2715C22semidirect
96. #2713C22semidirect
97. #2712C22semidirect
100. #2698C22semidirect
101. #2695C22semidirect
102. #2691C22semidirect
103. #2689C22semidirect
104. #2685C22semidirect
105. #2677C22semidirect
108. #2674C22semidirect
111. #2627C22semidirect
115. #2614C22semidirect
117. #2602C22semidirect
119. #2561C22semidirect
120. #2560C22semidirect
121. #2560C22semidirect
122. #2559C22semidirect
123. #2557C22semidirect
125. #2554C22semidirect
126. #2554C22semidirect
127. #2553C22semidirect
128. #2551C22semidirect
129. #2550C22semidirect
131. #2538C22semidirect
132. #2536C22semidirect
134. #2534C22semidirect
135. #2521C22semidirect
136. #2521C22semidirect
137. #2519C22semidirect
138. #2519C22semidirect
139. #2512C22semidirect
140. #2512C22semidirect
142. #2504C22semidirect
143. #2503C22semidirect
144. #2502C22semidirect
145. #2502C22semidirect
146. #2501C22semidirect
147. #2500C22semidirect
148. #2499C22semidirect
149. #2498C22semidirect
150. #2496C22semidirect
151. #2492C22semidirect
153. #2491C22semidirect
157. #2487C22semidirect
160. #2485C22semidirect
161. #2485C22semidirect
162. #2485C22semidirect
163. #2484C22semidirect
164. #2484C22semidirect
166. #2482C22semidirect
167. #2482C22semidirect
168. #2481C22semidirect
169. #2481C22semidirect
170. #2480C22semidirect
171. #2479C22semidirect
172. #2479C22semidirect
173. #2479C22semidirect
174. #2478C22semidirect
175. #2477C22semidirect
176. #2475C22semidirect
179. #2471C22semidirect
180. #2469C22semidirect
181. #2469C22semidirect
182. #2469C22semidirect
183. #2469C22semidirect
184. #2468C22semidirect
185. #2467C22semidirect
186. #2467C22semidirect
187. #2466C22semidirect
188. #2465C22semidirect
189. #2465C22semidirect
190. #2462C22semidirect
191. #2462C22semidirect
194. #2458C22semidirect
195. #2458C22semidirect
196. #2452C22semidirect
197. #2451C22semidirect
198. #2448C22semidirect
199. #2448C22semidirect
200. #2446C22semidirect
201. #2446C22semidirect
202. #2441C22semidirect
203. #2440C22semidirect
204. #2439C22semidirect
205. #2439C22semidirect
206. #2429C22semidirect
207. #2426C22semidirect
208. #2423C22semidirect
209. #2423C22semidirect
210. #2423C22semidirect
211. #2421C22semidirect
212. #2421C22semidirect
213. #2421C22semidirect
215. #2415C22semidirect
217. #2414C22semidirect
219. #2413C22semidirect
223. #2411C22semidirect
224. #2409C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
230. #2395C22semidirect
231. #2395C22semidirect
232. #2395C22semidirect
233. #2368C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
236. #2365C22semidirect
237. #2365C22semidirect
238. #2363C22semidirect
239. #2362C22semidirect
240. #2362C22semidirect
241. #2362C22semidirect
242. #2362C22semidirect
243. #2362C22semidirect
244. #2360C22semidirect
245. #2360C22semidirect
246. #2354C22semidirect
247. #2352C22semidirect
248. #2351C22semidirect
249. Q8×C4⋊C4C22semidirect
250. #2344C22semidirect
251. #2344C22semidirect
254. #2341C22semidirect
255. Q8×C22⋊C4C22semidirect
256. Q8×C22⋊C4C22semidirect
257. Q8×C22⋊C4C22semidirect
258. #2332C22semidirect
265. #2322C22semidirect
266. #2322C22semidirect
270. #2321C22semidirect
272. #2313C22semidirect
273. #2310C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
284. C4×#123C22semidirect
285. C4×#123C22semidirect
286. C4×#123C22semidirect
293. #2297C22semidirect
294. #2296C22semidirect
295. #2296C22semidirect
296. #2285C22semidirect
298. #2280C22semidirect
299. #2274C22semidirect
395. C2×C22⋊Q8D4semidirect
983. #123#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
C22×#5562
#598112
#597552
#593162
#592442
#591182
#591142
#590252
#590172
#444592
#435492
#435452
#435062
#394652
#394612
#393372
#393332
#391332
#391212
#380462
#380302
#365782
Q8×#1232
#364272
#364262
#354692
#354542
#350922
#350312
#348102
#348092
#342662
#342452
C4×#5342