Finite Group Databasebeta

← #7632162

Subgroups — #7632162

Order 512.

7938 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3521C211yesmaximal, characteristic, complemented
2C2×C4×2−1+4C211yesmaximal, characteristic, complemented
3#36233C212yesmaximal, complemented
4#36232C212yesmaximal, complemented
5#36225C214yesmaximal, complemented
6#36224C214yesmaximal, complemented
7#36219C212yesmaximal, complemented
8#36218C212yesmaximal, complemented
9#36086C212yesmaximal, complemented
10#36085C211yesmaximal, characteristic, complemented
11#36079C212yesmaximal, complemented
12#36078C211yesmaximal, characteristic, complemented
13#36070C212yesmaximal, complemented
14#36067C211yesmaximal, characteristic, complemented
15#36007C211yesmaximal, characteristic, complemented
16#35990C212yesmaximal, complemented
17#35987C211yesmaximal, characteristic, complemented
18#35985C211yesmaximal, characteristic, complemented
19#35759C211yesmaximal, characteristic, complemented
20#35689C211yesmaximal, characteristic, complemented
21#35675C212yesmaximal, complemented
22#35671C212yesmaximal, complemented
23#35364C214yesmaximal, complemented
24#35363C214yesmaximal, complemented
25#35342C211yesmaximal, characteristic, complemented
26#35245C211yesmaximal, characteristic, complemented
27#35143C212yesmaximal, complemented
28#35111C212yesmaximal, complemented
29#34972C211yesmaximal, characteristic, complemented
30#34911C211yesmaximal, characteristic, complemented
31#34876C212yesmaximal, complemented
32C2×#2604C212yesmaximal, complemented
33#34309C212yesmaximal, complemented
34#34308C212yesmaximal, complemented
35#34123C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37#3521—216no—
38C2×#556C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×#553C2211yescharacteristic
42C2×#553C2212yes—
43C2×#552C2211yescharacteristic
44C2×#552C2212yes—
45C2×#551C2212yes—
46C2×#551C2212yes—
47C2×#547C2212yes—
48C2×#547C2211yescharacteristic
49C2×#546C2212yes—
50C2×#546C2211yescharacteristic
51C2×#546C2211yescharacteristic
52C2×#542C2211yescharacteristic
53C2×#541C2211yescharacteristic
54C2×#539C2212yes—
55C2×#538C2212yes—
56C2×#529C2211yescharacteristic
57C2×#529C2212yes—
58C2×#529C2211yescharacteristic
59C22×#126C2212yes—
60C4×2−1+4—216no—
61C2×#520C2211yescharacteristic
62C2×#520C2212yes—
63C2×#520C2211yescharacteristic
64C2×#520C2214yescomplemented
65C2×#520C2211yescharacteristic, complemented
66C2×#520C2212yescomplemented
67C2×#519C2212yescomplemented
68C2×#519C2211yescharacteristic, complemented
69C2×#519C2212yescomplemented
70C2×#518C2211yescharacteristic
71C2×C4×#41C2212yes—
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic, complemented
74C2×C4×#41C2212yescomplemented
75C2×C4×#41C2214yescomplemented
76C22×C4×Q8C2212yescomplemented
77C22×C4×Q8C2212yescomplemented
78C22×C4×Q8C2211yescharacteristic, complemented
79#2855C2214yescomplemented
80#2854C2214yes—
81#2853C2212yes—
82#2853C2212yescomplemented
83#2852C2214yes—
84#2852C2214yescomplemented
85#2851C2212yescomplemented
86#2850C2212yes—
87#2637C2212yes—
88#2637C2212yescomplemented
89#2636C2212yes—
90#2636C2212yescomplemented
91#2634C2212yescomplemented
92#2632C2212yes—
93#2625C2211yescharacteristic, complemented
94#2624C2211yescharacteristic
95#2623C2212yes—
96#2623C2212yescomplemented
97#2616C2211yescharacteristic, complemented
98#2615C2211yescharacteristic
99#2614C2212yes—
100#2614C2212yescomplemented
101#2611C2214yescomplemented
102#2610C2214yescomplemented
103#2604C2214yes—
104#2604C2211yescharacteristic
105#2604C2212yes—
106#2604C2214yes—
107#2604C2212yes—
108#2604C2212yes—
109#2604C2212yescomplemented
110#2604C2214yescomplemented
111#2604C2211yescharacteristic, complemented
112#2604C2212yescomplemented
113#2604C2212yescomplemented
114#2604C2212yescomplemented
115#2604C2212yescomplemented
116#2604C2214yescomplemented
117#2604C2212yescomplemented
118#2603C2211yescharacteristic
119#2603C2212yescomplemented
120#2603C2211yescharacteristic, complemented
121#2602C2212yes—
122#2602C2214yescomplemented
123#2602C2212yescomplemented
124#2601C2214yes—
125#2601C2214yescomplemented
126#2600C2214yescomplemented
127#2599C2212yescomplemented
128#2599C2214yescomplemented
129#2599C2214yescomplemented
130#2598C2212yescomplemented
131#2592C2211yescharacteristic
132#2592C2214yescomplemented
133#2591C2212yes—
134#2584C2214yescomplemented
135#2584C2211yescharacteristic, complemented
136#2583C2212yescomplemented
137#2581C2212yescomplemented
138#2581C2212yescomplemented
139#2581C2212yescomplemented
140#2580C2212yescomplemented
141#2580C2212yescomplemented
142#2579C2214yescomplemented
143#2565C2212yescomplemented
144#2564C2214yescomplemented
145#2562C2211yescharacteristic, complemented
146#2545C2212yes—
147#2543C2214yes—
148#2540C2211yescharacteristic
149#2536C2212yes—
150#2534C2214yes—
151#2503C2211yescharacteristic, complemented
152#2501C2211yescharacteristic
153#2498C2212yes—
154#2498C2212yescomplemented
155#2487C2211yescharacteristic
156#2487C2211yescharacteristic, complemented
157#2484C2212yescomplemented
158#2482C2212yes—
159#2481C2214yescomplemented
160#2479C2214yes—
161#2478C2214yescomplemented
162#2477C2214yescomplemented
163#2476C2214yescomplemented
164#2475C2214yescomplemented
165#2474C2214yes—
166#2473C2214yescomplemented
167#2471C2214yescomplemented
168#2470C2214yescomplemented
169#2469C2214yes—
170#2469C2214yescomplemented
171#2466C2214yescomplemented
172#2465C2214yescomplemented
173#2465C2214yescomplemented
174#2462C2214yescomplemented
175#2462C2214yescomplemented
176#2459C2214yes—
177#2458C2214yes—
178#2458C2214yescomplemented
179#2456C2214yescomplemented
180#2455C2214yescomplemented
181#2453C2212yescomplemented
182#2451C2212yescomplemented
183#2450C2214yescomplemented
184#2449C2214yescomplemented
185#2449C2214yescomplemented
186#2448C2212yes—
187#2446C2212yescomplemented
188#2444C2214yescomplemented
189#2443C2214yes—
190#2443C2214yes—
191#2441C2212yescomplemented
192#2439C2212yescomplemented
193#2438C2214yescomplemented
194#2438C2214yescomplemented
195#2436C2212yes—
196#2436C2211yescharacteristic
197#2434C2212yescomplemented
198#2434C2211yescharacteristic, complemented
199#2430C2214yes—
200#2430C2212yes—
201#2430C2214yescomplemented
202#2430C2212yescomplemented
203#2429C2212yes—
204#2426C2212yes—
205#2425C2214yes—
206#2424C2214yes—
207#2423C2212yes—
208#2421C2212yescomplemented
209#2419C2214yescomplemented
210#2418C2214yes—
211#2415C2212yes—
212#2415C2212yescomplemented
213#2414C2212yes—
214#2414C2212yes—
215#2413C2214yes—
216#2413C2214yescomplemented
217#2411C2214yes—
218#2409C2212yes—
219#2409C2211yescharacteristic
220#2409C2212yescomplemented
221#2409C2211yescharacteristic, complemented
222#2406C2214yescomplemented
223#2406C2212yescomplemented
224#2404C2214yes—
225#2404C2212yes—
226#2399C2212yescomplemented
227#2398C2212yescomplemented
228#2398C2212yescomplemented
229#2397C2212yescomplemented
230#2396C2212yescomplemented
231#2396C2212yescomplemented
232#2395C2211yescharacteristic
233#2395C2211yescharacteristic, complemented
234C2×#400C2212yescomplemented
235C2×#399C2212yes—
236#2388C2211yescharacteristic
237#2388C2211yescharacteristic, complemented
238C2×#395C2212yescomplemented
239C2×#393C2212yes—
240#2367C2212yes—
241#2365C2212yescomplemented
242#2364C2214yes—
243#2362C2212yes—
244#2361C2212yes—
245#2361C2214yescomplemented
246#2360C2212yescomplemented
247#2360C2212yescomplemented
248#2359C2214yes—
249#2359C2214yescomplemented
250#2359C2214yescomplemented
251#2358C2214yes—
252#2356C2212yescomplemented
253#2353C2214yescomplemented
254#2352C2212yes—
255#2349C2212yes—
256#2349C2212yes—
257D4×C4⋊C4C2212yes—
258D4×C4⋊C4C2212yescomplemented
259#2346C2211yescharacteristic, complemented
260#2346C2211yescharacteristic, complemented
261#2344C2214yescomplemented
262#2343C2212yescomplemented
263#2343C2212yescomplemented
264#2342C2214yes—
265#2339C2212yes—
266#2339C2212yes—
267#2339C2212yes—
268#2339C2211yescharacteristic
269#2339C2211yescharacteristic
270D4×C22⋊C4C2212yes—
271#2324C2212yes—
272#2323C2212yes—
273#2323C2212yescomplemented
274#2323C2212yescomplemented
275#2322C2214yes—
276#2322C2214yescomplemented
277#2322C2214yescomplemented
278#2321C2214yes—
279C4×C4⋊Q8C2212yescomplemented
280C4×#124C2212yes—
281C4×C22⋊Q8C2212yescomplemented
282C4×#123C2214yescomplemented
283C4×#121C2214yes—
284C4×#121C2212yes—
285C4×#121C2214yescomplemented
286#2295C2212yescomplemented
287#2293C2212yes—
288#2293C2212yescomplemented
289C2×#389C2214yescomplemented
290#2290C2214yescomplemented
291#2290C2214yescomplemented
292#2290C2214yescomplemented
293C2×#388C2214yes—
294C2×#388C2214yes—
295C2×#387C2214yescomplemented
296#2283C2211yescharacteristic, complemented
297#2283C2212yescomplemented
298C42×D4C2212yes—
299C4×#117C2211yescharacteristic, complemented
300C2×#376C2212yescomplemented
301C2×2−1+4—28no—
302C2×2−1+4—216no—
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2314yes—
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C22×#41C2312yes—
309C23×Q8C2312yes—
310C23×Q8C2311yescharacteristic
311C23×Q8C2312yes—
312C23×D4C2311yescharacteristic
313#556—28no—
314#556—28no—
315#554—28no—
316#553—216no—
317#553—28no—
318#552—28no—
319#552—216no—
320#551—216no—
321#551—216no—
322#547—28no—
323#547—216no—
324#546—28no—
325#546—216no—
326#546—28no—
327#542—28no—
328#541—28no—
329#539—216no—
330#538—216no—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334#529—216no—
335#529—28no—
336#529—28no—
337C2×#126—216no—
338C2×#126C2312yes—
339C2×#126C2312yes—
340C2×#126C2312yes—
341C2×#126C2312yes—
342C2×#126C2311yescharacteristic
343C2×#126C2312yes—
344C2×#126C2311yescharacteristic
345C2×#126C2312yes—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#125C2311yescharacteristic
351C2×#125C2311yescharacteristic
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2311yescharacteristic
355C2×#125C2312yes—
356C2×#124C2311yescharacteristic
357C2×#124C2312yes—
358C2×#124C2311yescharacteristic
359C2×#124C2312yes—
360C2×#124C2312yes—
361C2×#124C2311yescharacteristic
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2311yescharacteristic
366C2×#123C2311yescharacteristic
367C2×#123C2312yes—
368C2×#123C2312yes—
369C2×#123C2312yes—
370C2×#123C2312yes—
371C2×#123C2312yes—
372C2×#123C2312yes—
373C2×#123C2312yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2311yescharacteristic
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2311yescharacteristic
383C2×C22⋊Q8C2311yescharacteristic
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×#121C2312yes—
391C2×#121C2311yescharacteristic
392C2×#121C2312yes—
393C2×#121C2311yescharacteristic
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2311yescharacteristic
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#120C2314yes—
402C2×#120C2312yes—
403C2×#120C2312yes—
404#520—28no—
405#520—216no—
406#520—28no—
407#520—232no—
408#520—216no—
409#520—28no—
410#519—216no—
411#519—216no—
412#519—28no—
413#518—28no—
414C4×#41—216no—
415C4×#41—232no—
416C4×#41—216no—
417C4×#41—28no—
418C4×#41D4116yescomplemented
419C2×C4×Q8—216no—
420C2×C4×Q8—216no—
421C2×C4×Q8—28no—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2314yes—
431C2×C4×Q8C2314yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2314yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2314yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2314yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2314yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×#117C2311yescharacteristic
480C2×#117C2311yescharacteristic
481C2×#117C2312yes—
482C2×#117C2314yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2314yes—
488C2×#117C2311yescharacteristic
489C2×#117C2311yescharacteristic
490C2×#117C2314yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2314yes—
494C2×#117C2314yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C22×C4⋊C4C2314yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2314yes—
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2311yescharacteristic
508C22×C4⋊C4C2314yes—
509C22×C4⋊C4C2314yes—
510C22×C22⋊C4C2312yes—
511C22×C22⋊C4C2312yes—
512C22×C22⋊C4C2314yes—
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2314yes—
516C22×C42C2312yes—
517C22×C42C2314yes—
518C22×C42C2312yes—
519C22×C42C2314yes—
520C22×C42C2314yes—
521C22×C42C2312yes—
522C22×C42C2311yescharacteristic
523#400C2311yescharacteristic
524#400C2311yescharacteristic
525#400C2314yes—
526#400C2314yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2314yes—
533#400C2314yes—
534#399C2314yes—
535#399C2311yescharacteristic
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2311yescharacteristic
540#399C2312yes—
541#399C2314yes—
542#399C2312yes—
543#399C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2311yescharacteristic
552#398C2311yescharacteristic
553#398C2312yes—
554#398C2314yes—
555#397C2311yescharacteristic
556#397C2311yescharacteristic
557#397C2314yes—
558#397C2314yes—
559#397C2312yes—
560#397C2314yes—
561#397C2312yes—
562#397C2312yes—
563#397C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#395C2314yes—
571#395C2311yescharacteristic
572#395C2314yes—
573#395C2312yes—
574#395C2312yes—
575#395C2312yes—
576#395C2314yes—
577#395C2314yes—
578#395C2311yescharacteristic
579#395C2312yes—
580#395C2312yes—
581#395C2314yes—
582#395C2314yes—
583#394C2311yescharacteristic
584#394C2311yescharacteristic
585#394C2314yes—
586#394C2312yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2312yes—
592#394C2312yes—
593#394C2312yes—
594#394C2312yes—
595#394C2314yes—
596#393C2314yes—
597#393C2311yescharacteristic
598#393C2312yes—
599#393C2312yes—
600#393C2312yes—
601#393C2311yescharacteristic
602#393C2314yes—
603#393C2314yes—
604#393C2312yes—
605#393C2314yes—
606#393C2312yes—
607#393C2314yes—
608#392C2312yes—
609#392C2314yes—
610#392C2312yes—
611#392C2312yes—
612#392C2311yescharacteristic
613#392C2311yescharacteristic
614#392C2314yes—
615#391C2312yes—
616#391C2312yes—
617#391C2312yes—
618#391C2312yes—
619#391C2312yes—
620#391C2312yes—
621#391C2314yes—
622#391C2314yes—
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2312yes—
629#390C2314yes—
630#390C2314yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#389C2314yes—
637#389C2314yes—
638#389C2312yes—
639#389C2314yes—
640#389C2314yes—
641#389C2314yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2314yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2314yes—
659#389C2314yes—
660#389C2314yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2314yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
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#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2312yes—
724#387C2312yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2312yes—
741#386C2312yes—
742#386C2312yes—
743#386C2312yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2312yes—
751#386C2314yes—
752#386C2314yes—
753#386C2312yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#385C2312yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2312yes—
770#385C2314yes—
771#385C2312yes—
772#385C2312yes—
773#385C2312yes—
774#385C2312yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#384C2312yes—
784#383C2314yes—
785#383C2312yes—
786#382C2312yes—
787#382C2312yes—
788#382C2312yes—
789#382C2312yes—
790#381C2314yes—
791#381C2314yes—
792#381C2314yes—
793#381C2312yes—
794#381C2312yes—
795#381C2312yes—
796#381C2314yes—
797#380C2312yes—
798#380C2312yes—
799#380C2314yes—
800#380C2314yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2314yes—
805#380C2312yes—
806#380C2311yescharacteristic
807#380C2311yescharacteristic
808#379C2314yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839#376C2312yes—
840#376C2312yes—
841#376C2311yescharacteristic
842#376C2311yescharacteristic
843#376C2312yes—
844#376C2314yes—
845#376C2314yes—
846C2×#95C2314yes—
847C2×#95C2312yes—
848C2×#95C2312yes—
849C2×#95C2314yes—
850C2×#95C2314yes—
851C2×#95C2314yes—
852C2×#95C2314yes—
853C43C2312yes—
854C25C2412yes—
8552−1+4—2128no—
856C2×#41—216no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—216no—
860C2×#41—216no—
861C2×#41—28no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—28no—
865C2×#41—24no—
866C2×#41—216no—
867C2×#41—28no—
868C2×#41C2×D418yes—
869C2×#41#41116yes—
870C22×Q8—28no—
871C22×Q8—28no—
872C22×Q8—28no—
873C22×Q8—28no—
874C22×Q8—24no—
875C22×Q8—216no—
876C22×Q8—28no—
877C22×Q8C2411yescharacteristic
878C22×Q8C2412yes—
879C22×Q8C2414yes—
880C22×Q8C2411yescharacteristic
881C22×Q8C2411yescharacteristic
882C22×Q8C2412yes—
883C22×Q8C2411yescharacteristic
884C22×Q8C2412yes—
885C22×D4—24no—
886C22×D4—28no—
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2414yes—
901C22×D4C2411yescharacteristic
902C22×D4C2411yescharacteristic
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2414yes—
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2414yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2414yes—
919C23×C4C2414yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C4⋊Q8—24no—
929C4⋊Q8—28no—
930C4⋊Q8—24no—
931#126—28no—
932#126—28no—
933#126—28no—
934#126—24no—
935#126—28no—
936#126—28no—
937#126—28no—
938#126—28no—
939#126—28no—
940#126—28no—
941#126—28no—
942#126—24no—
943#125—28no—
944#125—28no—
945#125—24no—
946#125—28no—
947#125—24no—
948#125—24no—
949#124—24no—
950#124—28no—
951#124—28no—
952#124—28no—
953#124—24no—
954#124—24no—
955#123—28no—
956#123—216no—
957#123—28no—
958#123—28no—
959#123—28no—
960#123—24no—
961#123—24no—
962#123—216no—
963#123—216no—
964#123—28no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—48no—
969C22⋊Q8—24no—
970C22⋊Q8—24no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—24no—
974C22⋊Q8—24no—
975C22⋊Q8—28no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—44no—
983#121—28no—
984#121—28no—
985#121—216no—
986#121—216no—
987#121—24no—
988#121—24no—
989#121—28no—
990#121—28no—
991#121—24no—
992#121—28no—
993#121—44no—
994#120—28no—
995#120—216no—
996#120—28no—
997C4×Q8—28no—
998C4×Q8—28no—
999C4×Q8—216no—
1000C4×Q8—28no—
1001C4×Q8—216no—
1002C4×Q8—24no—
1003C4×Q8—216no—
1004C4×Q8—28no—
1005C4×Q8—24no—
1006C4×Q8—28no—
1007C4×Q8—28no—
1008C4×Q8—28no—
1009C4×Q8—216no—
1010C4×Q8—28no—
1011C4×Q8—28no—
1012C4×Q8—24no—
1013C4×Q8—28no—
1014C4×Q8—24no—
1015C4×Q8—28no—
1016C4×Q8—24no—
1017C4×Q8C2×D418yes—
1018C4×Q8C2×D418yes—
1019C4×D4—216no—
1020C4×D4—28no—
1021C4×D4—24no—
1022C4×D4—24no—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—216no—
1026C4×D4—28no—
1027C4×D4—216no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—24no—
1032C4×D4—24no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—24no—
1037C4×D4—216no—
1038C4×D4—216no—
1039C4×D4—216no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—28no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—48no—
1049C4×D4—48no—
1050C4×D4C2×D418yes—
1051C4×D4C2×D4116yes—
1052C4×D4C2×D418yes—
1053C4×D4C2×D4116yes—
1054#117—28no—
1055#117—24no—
1056#117—28no—
1057#117—216no—
1058#117—24no—
1059#117—216no—
1060#117—216no—
1061#117—216no—
1062#117—28no—
1063#117—28no—
1064#117—216no—
1065#117—24no—
1066#117—24no—
1067#117—28no—
1068#117—28no—
1069#117—28no—
1070#117—44no—
1071#117C2×D4116yes—
1072#117C2×D418yes—
1073C2×C4⋊C4—216no—
1074C2×C4⋊C4—28no—
1075C2×C4⋊C4—28no—
1076C2×C4⋊C4—24no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—28no—
1079C2×C4⋊C4—28no—
1080C2×C4⋊C4—216no—
1081C2×C4⋊C4—28no—
1082C2×C4⋊C4—216no—
1083C2×C4⋊C4—24no—
1084C2×C4⋊C4—48no—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C22⋊C4—28no—
1151C2×C22⋊C4—28no—
1152C2×C22⋊C4—28no—
1153C2×C22⋊C4—216no—
1154C2×C22⋊C4—28no—
1155C2×C22⋊C4—48no—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C42—216no—
1222C2×C42—28no—
1223C2×C42—216no—
1224C2×C42—28no—
1225C2×C42—48no—
1226C2×C42C2×D4116yes—
1227C2×C42C2×D418yes—
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2414yes—
1231C2×C42C2414yes—
1232C2×C42C2412yes—
1233C2×C42C2414yes—
1234C2×C42C2412yes—
1235C2×C42C2414yes—
1236C2×C42C2414yes—
1237C2×C42C2412yes—
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2414yes—
1244C2×C42C2414yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2414yes—
1250C2×C42C2414yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258#95C2412yes—
1259#95C2411yescharacteristic
1260#95C2411yescharacteristic
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2411yescharacteristic
1286#95C2411yescharacteristic
1287#95C2412yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2412yes—
1311C24—24no—
1312C24—28no—
1313C24—44no—
1314C24—42no—
1315C24—42no—
1316C24C2511yescharacteristic
1317C24C2512yes—
1318C24C2511yescharacteristic
1319C24C2511yescharacteristic
1320C24C2512yes—
1321C24C2512yes—
1322#41—264no—
1323#41—2128no—
1324#41—232no—
1325#41—232no—
1326#41—264no—
1327#41—416no—
1328C2×Q8—232no—
1329C2×Q8—264no—
1330C2×Q8—264no—
1331C2×Q8—28no—
1332C2×Q8—24no—
1333C2×Q8—22no—
1334C2×Q8—24no—
1335C2×Q8—22no—
1336C2×Q8—22no—
1337C2×Q8—24no—
1338C2×Q8—28no—
1339C2×Q8—28no—
1340C2×Q8—24no—
1341C2×Q8—28no—
1342C2×Q8—24no—
1343C2×Q8—24no—
1344C2×Q8—24no—
1345C2×Q8—42no—
1346C2×Q8—42no—
1347C2×Q8—42no—
1348C2×Q8C22×D414yes—
1349C2×Q8C2×#4118yes—
1350C2×D4—24no—
1351C2×D4—28no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—28no—
1355C2×D4—28no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—28no—
1360C2×D4—28no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—22no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—44no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—44no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—416no—
1387C2×D4C22×D418yes—
1388C2×D4C22×D414yes—
1389C2×D4C2×#41116yes—
1390C2×D4C2×#4118yes—
1391C22×C4—24no—
1392C22×C4—28no—
1393C22×C4—28no—
1394C22×C4—28no—
1395C22×C4—28no—
1396C22×C4—28no—
1397C22×C4—24no—
1398C22×C4—28no—
1399C22×C4—28no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—28no—
1404C22×C4—28no—
1405C22×C4—24no—
1406C22×C4—28no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—28no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—28no—
1416C22×C4—28no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—44no—
1422C22×C4—42no—
1423C22×C4—41no—
1424C22×C4—41no—
1425C22×C4—44no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—42no—
1439C22×C4—42no—
1440C22×C4—44no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—44no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4C22×D418yes—
1447C22×C4C22×D414yes—
1448C22×C4C22×D418yes—
1449C22×C4C22×D414yes—
1450C22×C4C22×D418yes—
1451C22×C4C22×D414yes—
1452C22×C4C2×#41116yes—
1453C22×C4C2×#4118yes—
1454C22×C4C2512yes—
1455C22×C4C2514yes—
1456C22×C4C2512yes—
1457C22×C4C2514yes—
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2512yes—
1461C22×C4C2511yescharacteristic
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2514yes—
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2512yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2512yes—
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C22×C4C2514yes—
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2511yescharacteristic
1483C4⋊C4—28no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—24no—
1487C4⋊C4—28no—
1488C4⋊C4—28no—
1489C4⋊C4—22no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—22no—
1493C4⋊C4—24no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—28no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—28no—
1523C4⋊C4—28no—
1524C4⋊C4—28no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—28no—
1529C4⋊C4—28no—
1530C4⋊C4—24no—
1531C4⋊C4—28no—
1532C4⋊C4—24no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—42no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—42no—
1539C4⋊C4—44no—
1540C4⋊C4—42no—
1541C4⋊C4—44no—
1542C4⋊C4—42no—
1543C4⋊C4—44no—
1544C4⋊C4C22×D414yes—
1545C4⋊C4C22×D418yes—
1546C4⋊C4C22×D414yes—
1547C4⋊C4C22×D418yes—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—22no—
1553C22⋊C4—24no—
1554C22⋊C4—22no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—28no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—24no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—28no—
1576C22⋊C4—22no—
1577C22⋊C4—22no—
1578C22⋊C4—22no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—22no—
1583C22⋊C4—24no—
1584C22⋊C4—28no—
1585C22⋊C4—28no—
1586C22⋊C4—28no—
1587C22⋊C4—24no—
1588C22⋊C4—28no—
1589C22⋊C4—28no—
1590C22⋊C4—24no—
1591C22⋊C4—28no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—44no—
1610C22⋊C4C22×D418yes—
1611C22⋊C4C22×D418yes—
1612C22⋊C4C22×D418yes—
1613C42—24no—
1614C42—28no—
1615C42—28no—
1616C42—24no—
1617C42—28no—
1618C42—28no—
1619C42—28no—
1620C42—28no—
1621C42—24no—
1622C42—24no—
1623C42—24no—
1624C42—24no—
1625C42—22no—
1626C42—22no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—28no—
1631C42—44no—
1632C42—44no—
1633C42—42no—
1634C42—42no—
1635C42—42no—
1636C42C22×D418yes—
1637C42C22×D414yes—
1638C42C22×D414yes—
1639C42C22×D414yes—
1640C42C22×D414yes—
1641C42C22×D418yes—
1642C42C22×D418yes—
1643C23—24no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—22no—
1658C23—21no—
1659C23—22no—
1660C23—22no—
1661C23—24no—
1662C23—24no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—21no—
1667C23—21no—
1668C23—22no—
1669C23—21no—
1670C23—21no—
1671C23—48no—
1672C23—88no—
1673C23—88no—
1674C23—84no—
1675C23—84no—
1676C23C23×D412yes—
1677C23C23×D414yes—
1678C23C22×#4114yes—
1679C23C22×#4118yes—
1680C23C2611yescharacteristic
1681Q8—232no—
1682Q8—216no—
1683Q8—28no—
1684Q8—28no—
1685Q8—216no—
1686Q8—44no—
1687Q8—82no—
1688Q8—84no—
1689D4—28no—
1690D4—216no—
1691D4—216no—
1692D4—232no—
1693D4—48no—
1694D4—48no—
1695D4—48no—
1696D4—44no—
1697D4—82no—
1698D4—84no—
1699D4—84no—
1700D4—88no—
1701D4—84no—
1702D4—82no—
1703D4—82no—
1704D4#525116yes—
1705C2×C4—232no—
1706C2×C4—216no—
1707C2×C4—24no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—216no—
1725C2×C4—232no—
1726C2×C4—28no—
1727C2×C4—216no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—24no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—48no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—48no—
1777C2×C4—416no—
1778C2×C4—48no—
1779C2×C4—48no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—88no—
1783C2×C4—84no—
1784C2×C4—84no—
1785C2×C4—84no—
1786C2×C4—84no—
1787C2×C4—88no—
1788C2×C4—88no—
1789C2×C4—84no—
1790C2×C4—84no—
1791C2×C4—84no—
1792C2×C4C23×D412yes—
1793C2×C4C23×D412yes—
1794C2×C4C23×D414yes—
1795C2×C4C23×D414yes—
1796C2×C4C23×D414yes—
1797C2×C4C23×D412yes—
1798C2×C4C23×D412yes—
1799C2×C4C23×D412yes—
1800C2×C4C23×D412yes—
1801C2×C4C22×#4118yes—
1802C2×C4C22×#4114yes—
1803C2×C4C22×#4114yes—
1804C2×C4#58514yes—
1805C22—28no—
1806C22—28no—
1807C22—24no—
1808C22—24no—
1809C22—24no—
1810C22—24no—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—24no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—44no—
1824C22—44no—
1825C22—42no—
1826C22—42no—
1827C22—41no—
1828C22—42no—
1829C22—41no—
1830C22—42no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—42no—
1836C22—168no—
1837C22C2×#52518yes—
1838C22C24×D411yescharacteristic
1839C22C23×#4112yes—
1840C22C2×#58512yes—
1841C222−1+611yescharacteristic
1842C222−1+611yescharacteristic
1843C4—24no—
1844C4—22no—
1845C4—24no—
1846C4—22no—
1847C4—22no—
1848C4—22no—
1849C4—24no—
1850C4—24no—
1851C4—22no—
1852C4—28no—
1853C4—24no—
1854C4—44no—
1855C4—42no—
1856C4—42no—
1857C4—42no—
1858C4—44no—
1859C4—42no—
1860C4—44no—
1861C4—42no—
1862C4—41no—
1863C4—41no—
1864C4—42no—
1865C4—41no—
1866C4—42no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—42no—
1871C4C2×#52514yes—
1872C2—28no—
1873C2—44no—
1874C2—42no—
1875C2—81no—
1876C2—82no—
1877C2—81no—
1878C2C22×#52511yescharacteristic
1879C2#6281211yescharacteristic
1880C2#6285911yescharacteristic
1881C2#6299312yes—
1882C2#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×#3521C2semidirect
2. C2×C4×2−1+4C2semidirect
3. #36233C2semidirect
4. #36232C2semidirect
5. #36225C2semidirect
6. #36224C2semidirect
7. #36219C2semidirect
8. #36218C2semidirect
9. #36086C2semidirect
10. #36085C2semidirect
11. #36079C2semidirect
12. #36078C2semidirect
13. #36070C2semidirect
14. #36067C2semidirect
15. #36007C2semidirect
16. #35990C2semidirect
17. #35987C2semidirect
18. #35985C2semidirect
19. #35759C2semidirect
20. #35689C2semidirect
21. #35675C2semidirect
22. #35671C2semidirect
23. #35364C2semidirect
24. #35363C2semidirect
25. #35342C2semidirect
26. #35245C2semidirect
27. #35143C2semidirect
28. #35111C2semidirect
29. #34972C2semidirect
30. #34911C2semidirect
31. #34876C2semidirect
32. C2×#2604C2semidirect
33. #34309C2semidirect
34. #34308C2semidirect
35. #34123C2semidirect
64. C2×#520C22semidirect
65. C2×#520C22semidirect
66. C2×#520C22semidirect
67. C2×#519C22semidirect
68. C2×#519C22semidirect
69. C2×#519C22semidirect
73. C2×C4×#41C22semidirect
74. C2×C4×#41C22semidirect
75. C2×C4×#41C22semidirect
76. C22×C4×Q8C22semidirect
77. C22×C4×Q8C22semidirect
78. C22×C4×Q8C22semidirect
79. #2855C22semidirect
82. #2853C22semidirect
84. #2852C22semidirect
85. #2851C22semidirect
88. #2637C22semidirect
90. #2636C22semidirect
91. #2634C22semidirect
93. #2625C22semidirect
96. #2623C22semidirect
97. #2616C22semidirect
100. #2614C22semidirect
101. #2611C22semidirect
102. #2610C22semidirect
109. #2604C22semidirect
110. #2604C22semidirect
111. #2604C22semidirect
112. #2604C22semidirect
113. #2604C22semidirect
114. #2604C22semidirect
115. #2604C22semidirect
116. #2604C22semidirect
117. #2604C22semidirect
119. #2603C22semidirect
120. #2603C22semidirect
122. #2602C22semidirect
123. #2602C22semidirect
125. #2601C22semidirect
126. #2600C22semidirect
127. #2599C22semidirect
128. #2599C22semidirect
129. #2599C22semidirect
130. #2598C22semidirect
132. #2592C22semidirect
134. #2584C22semidirect
135. #2584C22semidirect
136. #2583C22semidirect
137. #2581C22semidirect
138. #2581C22semidirect
139. #2581C22semidirect
140. #2580C22semidirect
141. #2580C22semidirect
142. #2579C22semidirect
143. #2565C22semidirect
144. #2564C22semidirect
145. #2562C22semidirect
151. #2503C22semidirect
154. #2498C22semidirect
156. #2487C22semidirect
157. #2484C22semidirect
159. #2481C22semidirect
161. #2478C22semidirect
162. #2477C22semidirect
163. #2476C22semidirect
164. #2475C22semidirect
166. #2473C22semidirect
167. #2471C22semidirect
168. #2470C22semidirect
170. #2469C22semidirect
171. #2466C22semidirect
172. #2465C22semidirect
173. #2465C22semidirect
174. #2462C22semidirect
175. #2462C22semidirect
178. #2458C22semidirect
179. #2456C22semidirect
180. #2455C22semidirect
181. #2453C22semidirect
182. #2451C22semidirect
183. #2450C22semidirect
184. #2449C22semidirect
185. #2449C22semidirect
187. #2446C22semidirect
188. #2444C22semidirect
191. #2441C22semidirect
192. #2439C22semidirect
193. #2438C22semidirect
194. #2438C22semidirect
197. #2434C22semidirect
198. #2434C22semidirect
201. #2430C22semidirect
202. #2430C22semidirect
208. #2421C22semidirect
209. #2419C22semidirect
212. #2415C22semidirect
216. #2413C22semidirect
220. #2409C22semidirect
221. #2409C22semidirect
222. #2406C22semidirect
223. #2406C22semidirect
226. #2399C22semidirect
227. #2398C22semidirect
228. #2398C22semidirect
229. #2397C22semidirect
230. #2396C22semidirect
231. #2396C22semidirect
233. #2395C22semidirect
234. C2×#400C22semidirect
237. #2388C22semidirect
238. C2×#395C22semidirect
241. #2365C22semidirect
245. #2361C22semidirect
246. #2360C22semidirect
247. #2360C22semidirect
249. #2359C22semidirect
250. #2359C22semidirect
252. #2356C22semidirect
253. #2353C22semidirect
258. D4×C4⋊C4C22semidirect
259. #2346C22semidirect
260. #2346C22semidirect
261. #2344C22semidirect
262. #2343C22semidirect
263. #2343C22semidirect
273. #2323C22semidirect
274. #2323C22semidirect
276. #2322C22semidirect
277. #2322C22semidirect
279. C4×C4⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×#123C22semidirect
285. C4×#121C22semidirect
286. #2295C22semidirect
288. #2293C22semidirect
289. C2×#389C22semidirect
290. #2290C22semidirect
291. #2290C22semidirect
292. #2290C22semidirect
295. C2×#387C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
299. C4×#117C22semidirect
300. C2×#376C22semidirect
418. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35212
C2×C4×2−1+42
#362332
#362322
#362252
#362242
#362192
#362182
#360862
#360852
#360792
#360782
#360702
#360672
#360072
#359902
#359872
#359852
#357592
#356892
#356752
#356712
#353642
#353632
#353422
#352452
#351432
#351112
#349722
#349112
#348762
C2×#26042
#343092
#343082
#341232