Finite Group Databasebeta

← #7630709

Subgroups — #7630709

Order 512.

7482 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3520C211yesmaximal, characteristic, complemented
2C2×#3513C211yesmaximal, characteristic, complemented
3#36061C212yesmaximal, complemented
4#36060C211yesmaximal, characteristic, complemented
5#36045C212yesmaximal, complemented
6#36042C211yesmaximal, characteristic, complemented
7#36012C214yesmaximal, complemented
8#36009C212yesmaximal, complemented
9#35959C211yesmaximal, characteristic, complemented
10#35940C212yesmaximal, complemented
11#35939C211yesmaximal, characteristic, complemented
12#35929C212yesmaximal, complemented
13#35928C211yesmaximal, characteristic, complemented
14#35923C211yesmaximal, characteristic, complemented
15#35912C211yesmaximal, characteristic, complemented
16#35856C211yesmaximal, characteristic, complemented
17#35773C212yesmaximal, complemented
18#35764C214yesmaximal, complemented
19#35761C212yesmaximal, complemented
20#35697C212yesmaximal, complemented
21#35212C211yesmaximal, characteristic, complemented
22#35201C211yesmaximal, characteristic, complemented
23#35170C212yesmaximal, complemented
24#35169C212yesmaximal, complemented
25#35085C212yesmaximal, complemented
26#35064C212yesmaximal, complemented
27#35009C214yesmaximal, complemented
28#35008C214yesmaximal, complemented
29#34643C211yesmaximal, characteristic, complemented
30#34631C211yesmaximal, characteristic, complemented
31#34575C212yesmaximal, complemented
32C2×#2663C212yesmaximal, complemented
33#34309C212yesmaximal, complemented
34#34308C212yesmaximal, complemented
35C4×#518C211yesmaximal, characteristic, complemented
36#3520—216no—
37#3513—216no—
38C2×#559C2211yescharacteristic
39C2×#556C2211yescharacteristic, complemented
40C2×#554C2211yescharacteristic
41C2×#554C2212yescomplemented
42C2×#553C2211yescharacteristic
43C2×#553C2212yes—
44C2×#552C2211yescharacteristic
45C2×#552C2212yescomplemented
46C2×#551C2212yes—
47C2×#551C2212yes—
48C2×#551C2214yescomplemented
49C2×D4×Q8C2211yescharacteristic
50C2×#548C2212yescomplemented
51C2×#547C2212yes—
52C2×#547C2211yescharacteristic
53C2×#547C2211yescharacteristic
54C2×#547C2211yescharacteristic, complemented
55C2×#546C2212yes—
56C2×#546C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×#546C2212yes—
59C2×#546C2212yes—
60C2×D42C2211yescharacteristic
61C2×#542C2211yescharacteristic
62C2×#542C2212yescomplemented
63C2×#540C2211yescharacteristic
64C2×#539C2212yes—
65C2×#539C2214yescomplemented
66C2×#538C2212yes—
67C2×#533C2211yescharacteristic, complemented
68C2×#529C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic, complemented
71C2×#525C2212yes—
72C2×#525C2212yescomplemented
73C22×#123C2212yes—
74C22×C22⋊Q8C2212yescomplemented
75C2×#520C2211yescharacteristic
76C2×#520C2212yes—
77C2×#518C2211yescharacteristic
78C2×#518C2212yes—
79C22×C4×D4C2211yescharacteristic
80#2861C2212yescomplemented
81#2860C2214yescomplemented
82#2859C2212yescomplemented
83#2857C2214yescomplemented
84#2854C2214yescomplemented
85#2854C2214yescomplemented
86#2850C2214yescomplemented
87#2664C2214yescomplemented
88#2664C2212yescomplemented
89#2664C2211yescharacteristic, complemented
90#2664C2211yescharacteristic, complemented
91#2663C2211yescharacteristic
92#2663C2212yes—
93#2663C2214yes—
94#2663C2211yescharacteristic, complemented
95#2663C2212yescomplemented
96#2663C2212yescomplemented
97#2663C2212yescomplemented
98#2663C2212yescomplemented
99#2663C2212yescomplemented
100#2663C2212yescomplemented
101#2663C2212yescomplemented
102#2663C2212yescomplemented
103#2663C2214yescomplemented
104#2663C2214yescomplemented
105#2663C2214yescomplemented
106#2663C2214yescomplemented
107#2663C2212yescomplemented
108#2662C2211yescharacteristic, complemented
109#2662C2211yescharacteristic, complemented
110#2662C2212yescomplemented
111#2661C2212yes—
112#2661C2211yescharacteristic
113#2661C2211yescharacteristic, complemented
114#2661C2214yescomplemented
115#2661C2212yescomplemented
116#2660C2211yescharacteristic, complemented
117#2659C2212yescomplemented
118#2658C2211yescharacteristic, complemented
119#2656C2212yescomplemented
120#2642C2211yescharacteristic, complemented
121#2640C2211yescharacteristic, complemented
122#2639C2212yescomplemented
123#2639C2212yescomplemented
124#2621C2212yescomplemented
125#2620C2212yes—
126#2617C2214yes—
127#2617C2214yescomplemented
128#2611C2212yescomplemented
129#2610C2212yescomplemented
130#2604C2212yescomplemented
131#2604C2212yescomplemented
132#2602C2214yes—
133#2602C2214yescomplemented
134#2602C2214yescomplemented
135#2592C2211yescharacteristic, complemented
136#2591C2212yescomplemented
137#2584C2211yescharacteristic, complemented
138#2583C2212yescomplemented
139#2568C2211yescharacteristic, complemented
140#2567C2211yescharacteristic, complemented
141#2564C2212yescomplemented
142#2564C2212yescomplemented
143#2564C2212yescomplemented
144#2564C2212yescomplemented
145#2563C2211yescharacteristic, complemented
146#2562C2211yescharacteristic, complemented
147#2561C2212yescomplemented
148#2560C2214yescomplemented
149#2559C2214yescomplemented
150#2559C2214yescomplemented
151#2558C2214yescomplemented
152#2557C2214yescomplemented
153#2557C2214yescomplemented
154#2556C2214yescomplemented
155#2556C2214yescomplemented
156#2555C2214yescomplemented
157#2553C2214yescomplemented
158#2553C2214yescomplemented
159#2553C2214yescomplemented
160#2551C2212yescomplemented
161#2550C2212yescomplemented
162#2549C2214yescomplemented
163#2547C2212yescomplemented
164#2544C2212yes—
165#2543C2214yescomplemented
166#2542C2211yescharacteristic, complemented
167#2542C2212yescomplemented
168#2540C2211yescharacteristic, complemented
169#2540C2212yescomplemented
170#2539C2212yescomplemented
171#2539C2214yescomplemented
172#2537C2212yes—
173#2535C2212yescomplemented
174#2534C2214yes—
175#2521C2214yescomplemented
176#2521C2214yescomplemented
177#2521C2214yescomplemented
178#2519C2214yescomplemented
179#2506C2214yescomplemented
180#2503C2212yescomplemented
181#2501C2212yescomplemented
182#2501C2214yescomplemented
183#2500C2212yes—
184#2499C2214yescomplemented
185#2499C2212yescomplemented
186#2498C2212yescomplemented
187#2498C2212yescomplemented
188#2496C2214yescomplemented
189#2496C2214yescomplemented
190#2492C2212yescomplemented
191#2492C2212yescomplemented
192#2491C2212yescomplemented
193#2491C2214yescomplemented
194#2489C2212yescomplemented
195#2488C2214yescomplemented
196#2488C2214yescomplemented
197#2488C2214yescomplemented
198#2486C2214yescomplemented
199#2472C2214yescomplemented
200#2464C2214yescomplemented
201#2461C2214yescomplemented
202#2452C2214yescomplemented
203#2440C2214yescomplemented
204#2436C2212yescomplemented
205#2434C2212yescomplemented
206#2432C2214yescomplemented
207#2430C2212yescomplemented
208#2430C2212yescomplemented
209#2428C2212yes—
210#2427C2212yes—
211#2427C2212yescomplemented
212#2427C2212yescomplemented
213#2425C2214yes—
214#2425C2214yescomplemented
215#2425C2214yescomplemented
216#2424C2214yes—
217#2422C2214yescomplemented
218#2416C2214yes—
219#2415C2212yes—
220#2415C2212yescomplemented
221#2415C2212yescomplemented
222#2414C2212yes—
223#2412C2214yes—
224#2412C2214yescomplemented
225#2412C2214yescomplemented
226#2410C2214yes—
227#2399C2211yescharacteristic, complemented
228#2398C2211yescharacteristic, complemented
229#2398C2211yescharacteristic, complemented
230#2397C2211yescharacteristic, complemented
231#2396C2212yescomplemented
232#2396C2212yescomplemented
233#2395C2212yescomplemented
234#2395C2212yescomplemented
235#2395C2214yescomplemented
236#2395C2214yescomplemented
237C2×#400C2212yescomplemented
238C2×#399C2212yescomplemented
239#2392C2212yes—
240#2392C2212yescomplemented
241C2×#397C2214yescomplemented
242#2388C2212yescomplemented
243#2388C2212yescomplemented
244#2388C2214yescomplemented
245C2×#395C2212yescomplemented
246C2×#394C2214yes—
247C2×#393C2212yescomplemented
248#2367C2212yescomplemented
249#2365C2212yescomplemented
250#2364C2214yescomplemented
251#2362C2212yescomplemented
252#2361C2214yescomplemented
253#2361C2212yescomplemented
254#2360C2212yescomplemented
255#2360C2212yescomplemented
256#2359C2214yescomplemented
257#2359C2214yescomplemented
258#2359C2214yescomplemented
259#2358C2214yescomplemented
260#2352C2212yescomplemented
261#2349C2212yes—
262D4×C4⋊C4C2212yes—
263D4×C4⋊C4C2212yescomplemented
264#2344C2214yescomplemented
265#2342C2214yescomplemented
266#2339C2212yes—
267#2339C2212yes—
268#2339C2212yes—
269D4×C22⋊C4C2212yes—
270#2324C2212yescomplemented
271#2323C2212yescomplemented
272#2323C2212yescomplemented
273#2323C2212yescomplemented
274#2322C2214yescomplemented
275#2322C2214yescomplemented
276#2322C2214yescomplemented
277#2321C2214yescomplemented
278C4×C4⋊Q8C2212yescomplemented
279C4×#124C2212yescomplemented
280C4×#121C2214yescomplemented
281C4×#121C2214yescomplemented
282#2293C2212yescomplemented
283#2293C2212yescomplemented
284C2×#389C2214yescomplemented
285C2×#388C2214yescomplemented
286#2275C2211yescharacteristic
287#2275C2211yescharacteristic
288#2275C2211yescharacteristic, complemented
289#2275C2211yescharacteristic, complemented
290#2275C2212yescomplemented
291#2275C2212yescomplemented
292#2274C2212yescomplemented
293#2273C2214yescomplemented
294C42×D4C2212yes—
295C42×D4C2212yescomplemented
296C42×D4C2214yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C2×C4×C22⋊C4C2212yescomplemented
300C2×C4×C22⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C23×D4C2312yes—
309C24×C4C2312yes—
310#559—28no—
311#556—28no—
312#554—28no—
313#554—216no—
314#553—216no—
315#553—28no—
316#552—216no—
317#552—28no—
318#551—216no—
319#551—216no—
320#551—232no—
321D4×Q8—28no—
322#548—216no—
323#547—28no—
324#547—28no—
325#547—216no—
326#547—28no—
327#546—28no—
328#546—216no—
329#546—28no—
330#546—216no—
331#546—216no—
332D42—28no—
333#542—28no—
334#542—216no—
335#540—28no—
336#539—216no—
337#539—232no—
338#538—216no—
339#533—28no—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346C2×#127C2311yescharacteristic
347#529—28no—
348#529—28no—
349#529—28no—
350C2×#126C2312yes—
351C2×#126C2311yescharacteristic
352C2×#126C2311yescharacteristic
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#126C2312yes—
358C2×#126C2314yes—
359C2×#125C2311yescharacteristic
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#125C2314yes—
365C2×#125C2311yescharacteristic
366C2×#124C2311yescharacteristic
367C2×#124C2311yescharacteristic
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2314yes—
375C2×#124C2314yes—
376#525—216no—
377#525—216no—
378C2×#123—216no—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2311yescharacteristic
389C2×#123C2312yes—
390C2×#123C2311yescharacteristic
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2314yes—
400C2×#123C2312yes—
401C2×C22⋊Q8—216no—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#120C2314yes—
445C2×#120C2312yes—
446C2×#120C2314yes—
447C2×#120C2312yes—
448C2×#120C2312yes—
449C2×#120C2312yes—
450#520—28no—
451#520—216no—
452#518—28no—
453#518—216no—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×D4D4116yescomplemented
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2314yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×#117C2311yescharacteristic
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2314yes—
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C22×C4⋊C4C2314yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2314yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2314yes—
518C22×C4⋊C4C2311yescharacteristic
519C22×C22⋊C4C2312yes—
520C22×C22⋊C4C2312yes—
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2314yes—
523C22×C22⋊C4C2314yes—
524C22×C22⋊C4C2314yes—
525C22×C22⋊C4C2312yes—
526C22×C22⋊C4C2314yes—
527C22×C22⋊C4C2314yes—
528C22×C22⋊C4C2312yes—
529C22×C42C2314yes—
530C22×C42C2314yes—
531C22×C42C2311yescharacteristic
532#400C2312yes—
533#400C2311yescharacteristic
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2314yes—
539#400C2314yes—
540#400C2311yescharacteristic
541#400C2314yes—
542#400C2314yes—
543#400C2312yes—
544#399C2311yescharacteristic
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2312yes—
549#399C2311yescharacteristic
550#399C2312yes—
551#399C2314yes—
552#399C2314yes—
553#399C2314yes—
554#399C2314yes—
555#399C2312yes—
556#398C2314yes—
557#398C2311yescharacteristic
558#398C2312yes—
559#398C2314yes—
560#398C2312yes—
561#398C2312yes—
562#398C2311yescharacteristic
563#398C2314yes—
564#398C2314yes—
565#398C2312yes—
566#397C2314yes—
567#397C2311yescharacteristic
568#397C2312yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2311yescharacteristic
577#397C2314yes—
578#397C2312yes—
579#397C2314yes—
580#397C2314yes—
581#397C2314yes—
582#397C2314yes—
583#397C2312yes—
584#397C2312yes—
585#396C2314yes—
586#396C2314yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#395C2311yescharacteristic
592#395C2312yes—
593#395C2312yes—
594#395C2312yes—
595#395C2312yes—
596#395C2311yescharacteristic
597#395C2312yes—
598#395C2314yes—
599#395C2314yes—
600#395C2314yes—
601#395C2312yes—
602#394C2312yes—
603#394C2312yes—
604#394C2311yescharacteristic
605#394C2314yes—
606#394C2314yes—
607#394C2312yes—
608#394C2314yes—
609#394C2314yes—
610#394C2312yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2311yescharacteristic
618#394C2314yes—
619#394C2312yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#393C2314yes—
628#393C2312yes—
629#393C2312yes—
630#393C2312yes—
631#393C2311yescharacteristic
632#393C2312yes—
633#393C2312yes—
634#393C2314yes—
635#393C2311yescharacteristic
636#393C2314yes—
637#393C2312yes—
638#392C2312yes—
639#392C2314yes—
640#392C2312yes—
641#392C2314yes—
642#392C2312yes—
643#392C2314yes—
644#392C2311yescharacteristic
645#392C2314yes—
646#392C2311yescharacteristic
647#392C2312yes—
648#391C2314yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2314yes—
658#391C2314yes—
659#390C2314yes—
660#390C2312yes—
661#390C2312yes—
662#390C2314yes—
663#390C2312yes—
664#390C2312yes—
665#390C2314yes—
666#390C2314yes—
667#390C2314yes—
668#390C2314yes—
669#390C2312yes—
670#390C2312yes—
671#390C2312yes—
672#390C2312yes—
673#389C2314yes—
674#389C2314yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2314yes—
679#389C2314yes—
680#389C2314yes—
681#389C2312yes—
682#389C2312yes—
683#389C2314yes—
684#389C2314yes—
685#389C2314yes—
686#389C2312yes—
687#389C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2312yes—
692#389C2314yes—
693#389C2314yes—
694#389C2314yes—
695#389C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2312yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2312yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2312yes—
722#388C2312yes—
723#388C2314yes—
724#388C2312yes—
725#388C2314yes—
726#388C2314yes—
727#388C2312yes—
728#388C2312yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#384C2312yes—
769#384C2312yes—
770#384C2314yes—
771#384C2312yes—
772#382C2312yes—
773#382C2312yes—
774#382C2314yes—
775#382C2312yes—
776#381C2314yes—
777#381C2314yes—
778#381C2314yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#380C2314yes—
789#380C2314yes—
790#380C2314yes—
791#379C2314yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841#376C2312yes—
842#376C2311yescharacteristic
843#376C2311yescharacteristic
844C2×#95C2312yes—
845C2×#95C2312yes—
846C2×#95C2314yes—
847C2×#95C2314yes—
848C2×#95C2314yes—
849C2×#95C2314yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C43C2312yes—
853C43C2312yes—
854C25C2412yes—
855C25C2412yes—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—28no—
861C2×#41—28no—
862C2×#41—28no—
863C2×#41—84no—
864C2×#41—84no—
865C22×Q8—28no—
866C22×Q8—84no—
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2411yescharacteristic
871C22×Q8C2412yes—
872C22×Q8C2414yes—
873C22×Q8C2412yes—
874C22×D4—28no—
875C22×D4—28no—
876C22×D4—24no—
877C22×D4—28no—
878C22×D4—84no—
879C22×D4C2×D418yes—
880C22×D4C2412yes—
881C22×D4C2414yes—
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2411yescharacteristic
902C23×C4—84no—
903C23×C4C2×D4116yes—
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2414yes—
911C23×C4C2412yes—
912C23×C4C2414yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2414yes—
916C23×C4C2414yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2414yes—
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2414yes—
928C4⋊Q8—24no—
929C4⋊Q8—28no—
930C4⋊Q8—24no—
931C4⋊Q8—24no—
932C4⋊Q8—28no—
933C4⋊Q8—84no—
934#127—24no—
935#126—28no—
936#126—28no—
937#126—216no—
938#126—216no—
939#126—28no—
940#126—28no—
941#126—28no—
942#126—24no—
943#126—24no—
944#125—28no—
945#125—216no—
946#125—24no—
947#125—24no—
948#125—24no—
949#125—24no—
950#125—28no—
951#124—28no—
952#124—24no—
953#124—28no—
954#124—28no—
955#124—216no—
956#124—24no—
957#124—24no—
958#124—24no—
959#124—28no—
960#124—84no—
961#123—28no—
962#123—216no—
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—28no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—216no—
978#123—216no—
979#123—28no—
980#123—216no—
981#123—216no—
982#123—216no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—216no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—216no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—216no—
997C22⋊Q8—24no—
998C22⋊Q8—28no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—28no—
1002C22⋊Q8—28no—
1003C22⋊Q8—28no—
1004C22⋊Q8—216no—
1005#121—28no—
1006#121—28no—
1007#121—216no—
1008#121—24no—
1009#121—24no—
1010#121—28no—
1011#121—24no—
1012#121—28no—
1013#121—28no—
1014#121—28no—
1015#121—24no—
1016#121—24no—
1017#121—216no—
1018#121—216no—
1019#121—24no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—84no—
1024#121—84no—
1025#120—28no—
1026#120—28no—
1027#120—216no—
1028#120—28no—
1029#120—28no—
1030#120—216no—
1031C4×Q8—24no—
1032C4×Q8—28no—
1033C4×Q8—24no—
1034C4×Q8—28no—
1035C4×Q8—24no—
1036C4×Q8—24no—
1037C4×Q8—28no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—216no—
1045C4×D4—216no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—24no—
1049C4×D4—24no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—216no—
1053C4×D4—24no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—216no—
1058C4×D4—216no—
1059C4×D4—24no—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—84no—
1066C4×D4—84no—
1067C4×D4C2×D418yes—
1068C4×D4C2×D4116yes—
1069C4×D4C2×D418yes—
1070C4×D4C2×D418yes—
1071C4×D4C2×D418yes—
1072C4×D4C2×D4116yes—
1073C4×D4#41116yescomplemented
1074#117—28no—
1075#117—28no—
1076#117—28no—
1077#117—24no—
1078#117—28no—
1079#117—28no—
1080#117—216no—
1081#117—24no—
1082#117—24no—
1083#117—28no—
1084#117—28no—
1085#117—28no—
1086C2×C4⋊C4—216no—
1087C2×C4⋊C4—28no—
1088C2×C4⋊C4—28no—
1089C2×C4⋊C4—28no—
1090C2×C4⋊C4—216no—
1091C2×C4⋊C4—24no—
1092C2×C4⋊C4—28no—
1093C2×C4⋊C4—84no—
1094C2×C4⋊C4C2×D418yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C22⋊C4—216no—
1158C2×C22⋊C4—28no—
1159C2×C22⋊C4—28no—
1160C2×C22⋊C4—28no—
1161C2×C22⋊C4—216no—
1162C2×C22⋊C4—216no—
1163C2×C22⋊C4—28no—
1164C2×C22⋊C4—216no—
1165C2×C22⋊C4—84no—
1166C2×C22⋊C4C2×D4116yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2411yescharacteristic
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C42—84no—
1241C2×C42—84no—
1242C2×C42C2×D418yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2414yes—
1247C2×C42C2414yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2412yes—
1252C2×C42C2414yes—
1253C2×C42C2414yes—
1254C2×C42C2414yes—
1255C2×C42C2414yes—
1256C2×C42C2414yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263C2×C42C2414yes—
1264C2×C42C2411yescharacteristic
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2412yes—
1269#95C2411yescharacteristic
1270#95C2412yes—
1271#95C2411yescharacteristic
1272#95C2411yescharacteristic
1273#95C2412yes—
1274#95C2411yescharacteristic
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2412yes—
1316C24—28no—
1317C24—24no—
1318C24—28no—
1319C24—44no—
1320C24—42no—
1321C24—42no—
1322C24—44no—
1323C24—42no—
1324C24—42no—
1325C24C22×D418yes—
1326C24C2511yescharacteristic
1327C24C2512yes—
1328C24C2512yes—
1329C24C2511yescharacteristic
1330C24C2511yescharacteristic
1331C24C2512yes—
1332C24C2512yes—
1333#41—416no—
1334#41—432no—
1335#41—816no—
1336#41—816no—
1337C2×Q8—22no—
1338C2×Q8—24no—
1339C2×Q8—22no—
1340C2×Q8—24no—
1341C2×Q8—22no—
1342C2×Q8—28no—
1343C2×Q8—24no—
1344C2×Q8—24no—
1345C2×Q8—24no—
1346C2×Q8—24no—
1347C2×Q8—42no—
1348C2×Q8—44no—
1349C2×Q8—44no—
1350C2×Q8—44no—
1351C2×Q8—44no—
1352C2×Q8—41no—
1353C2×Q8—41no—
1354C2×Q8—816no—
1355C2×D4—28no—
1356C2×D4—232no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—28no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—22no—
1364C2×D4—28no—
1365C2×D4—28no—
1366C2×D4—28no—
1367C2×D4—28no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—28no—
1372C2×D4—24no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—28no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—44no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—42no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—42no—
1400C2×D4—44no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—416no—
1406C2×D4—816no—
1407C2×D4C22×D418yes—
1408C2×D4C22×D414yes—
1409C2×D4C22×D414yes—
1410C2×D4C2×#4118yes—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—28no—
1414C22×C4—28no—
1415C22×C4—28no—
1416C22×C4—28no—
1417C22×C4—24no—
1418C22×C4—28no—
1419C22×C4—24no—
1420C22×C4—28no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—28no—
1432C22×C4—28no—
1433C22×C4—28no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—42no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—816no—
1462C22×C4C22×D414yes—
1463C22×C4C22×D414yes—
1464C22×C4C22×D414yes—
1465C22×C4C22×D418yes—
1466C22×C4C22×D418yes—
1467C22×C4C22×D418yes—
1468C22×C4C22×D418yes—
1469C22×C4C22×D418yes—
1470C22×C4C2×#41116yes—
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2514yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2514yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C22×C4C2511yescharacteristic
1483C22×C4C2514yes—
1484C22×C4C2512yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C22×C4C2512yes—
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2512yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2514yes—
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2511yescharacteristic
1499C4⋊C4—24no—
1500C4⋊C4—28no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—24no—
1509C4⋊C4—28no—
1510C4⋊C4—28no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—28no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—28no—
1532C4⋊C4—22no—
1533C4⋊C4—24no—
1534C4⋊C4—22no—
1535C4⋊C4—28no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—28no—
1539C4⋊C4—28no—
1540C4⋊C4—28no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—28no—
1546C4⋊C4—28no—
1547C4⋊C4—42no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—42no—
1552C4⋊C4—44no—
1553C4⋊C4—42no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—42no—
1557C4⋊C4C22×D414yes—
1558C4⋊C4C22×D414yes—
1559C4⋊C4C22×D418yes—
1560C4⋊C4C2×#4118yes—
1561C22⋊C4—24no—
1562C22⋊C4—22no—
1563C22⋊C4—28no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—22no—
1571C22⋊C4—24no—
1572C22⋊C4—28no—
1573C22⋊C4—28no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—28no—
1577C22⋊C4—24no—
1578C22⋊C4—22no—
1579C22⋊C4—22no—
1580C22⋊C4—22no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—22no—
1587C22⋊C4—22no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—22no—
1592C22⋊C4—22no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—22no—
1596C22⋊C4—28no—
1597C22⋊C4—24no—
1598C22⋊C4—28no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—28no—
1606C22⋊C4—28no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—28no—
1611C22⋊C4—28no—
1612C22⋊C4—28no—
1613C22⋊C4—42no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—42no—
1619C22⋊C4—44no—
1620C22⋊C4—42no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—42no—
1629C22⋊C4C22×D418yes—
1630C22⋊C4C22×D418yes—
1631C22⋊C4C22×D418yes—
1632C22⋊C4C22×D418yes—
1633C22⋊C4C2×#41116yes—
1634C42—24no—
1635C42—24no—
1636C42—24no—
1637C42—28no—
1638C42—28no—
1639C42—22no—
1640C42—24no—
1641C42—22no—
1642C42—28no—
1643C42—24no—
1644C42—42no—
1645C42—44no—
1646C42—42no—
1647C42—44no—
1648C42—44no—
1649C42—44no—
1650C42—44no—
1651C42—42no—
1652C42—42no—
1653C42—42no—
1654C42—42no—
1655C42C22×D414yes—
1656C42C22×D414yes—
1657C42C22×D414yes—
1658C42C22×D414yes—
1659C42C2×#4118yes—
1660C23—24no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—24no—
1665C23—24no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—21no—
1670C23—21no—
1671C23—216no—
1672C23—21no—
1673C23—22no—
1674C23—22no—
1675C23—21no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—24no—
1680C23—22no—
1681C23—22no—
1682C23—24no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—22no—
1688C23—21no—
1689C23—21no—
1690C23—22no—
1691C23—22no—
1692C23—21no—
1693C23—21no—
1694C23—48no—
1695C23—48no—
1696C23—48no—
1697C23—88no—
1698C23—88no—
1699C23—84no—
1700C23—88no—
1701C23—88no—
1702C23—84no—
1703C23C23×D414yes—
1704C23C23×D412yes—
1705C23C23×D414yes—
1706C23C22×#4118yes—
1707C23C2611yescharacteristic
1708Q8—44no—
1709Q8—48no—
1710Q8—44no—
1711Q8—48no—
1712Q8—82no—
1713Q8—88no—
1714Q8—84no—
1715D4—216no—
1716D4—28no—
1717D4—48no—
1718D4—44no—
1719D4—48no—
1720D4—44no—
1721D4—48no—
1722D4—44no—
1723D4—48no—
1724D4—48no—
1725D4—416no—
1726D4—44no—
1727D4—88no—
1728D4—84no—
1729D4—82no—
1730D4—84no—
1731D4—84no—
1732D4—84no—
1733D4—84no—
1734D4—84no—
1735D4—88no—
1736D4#532116yes—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—24no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—28no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—24no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—24no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—22no—
1781C2×C4—24no—
1782C2×C4—24no—
1783C2×C4—22no—
1784C2×C4—24no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—44no—
1799C2×C4—48no—
1800C2×C4—48no—
1801C2×C4—48no—
1802C2×C4—48no—
1803C2×C4—48no—
1804C2×C4—44no—
1805C2×C4—416no—
1806C2×C4—48no—
1807C2×C4—416no—
1808C2×C4—44no—
1809C2×C4—44no—
1810C2×C4—48no—
1811C2×C4—88no—
1812C2×C4—88no—
1813C2×C4—84no—
1814C2×C4—84no—
1815C2×C4—84no—
1816C2×C4—88no—
1817C2×C4—88no—
1818C2×C4—84no—
1819C2×C4—84no—
1820C2×C4—88no—
1821C2×C4C23×D412yes—
1822C2×C4C23×D414yes—
1823C2×C4C23×D412yes—
1824C2×C4C23×D412yes—
1825C2×C4C23×D412yes—
1826C2×C4C23×D412yes—
1827C2×C4C23×D414yes—
1828C2×C4C23×D412yes—
1829C2×C4C22×#4118yes—
1830C2×C4C22×#4114yes—
1831C2×C4C22×#4114yes—
1832C2×C4C22×#4114yes—
1833C22—24no—
1834C22—28no—
1835C22—28no—
1836C22—24no—
1837C22—22no—
1838C22—24no—
1839C22—22no—
1840C22—24no—
1841C22—22no—
1842C22—24no—
1843C22—44no—
1844C22—42no—
1845C22—44no—
1846C22—42no—
1847C22—42no—
1848C22—41no—
1849C22—42no—
1850C22—41no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—44no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—44no—
1861C22—42no—
1862C22—42no—
1863C22—41no—
1864C22—41no—
1865C22—42no—
1866C22—41no—
1867C22—41no—
1868C22—42no—
1869C22—816no—
1870C22—168no—
1871C22C2×#53218yes—
1872C22C24×D411yescharacteristic
1873C22C23×#4112yes—
1874C22H(7,𝔽2)12yes—
1875C222−1+611yescharacteristic
1876C222−1+611yescharacteristic
1877C4—22no—
1878C4—22no—
1879C4—24no—
1880C4—24no—
1881C4—24no—
1882C4—28no—
1883C4—24no—
1884C4—22no—
1885C4—22no—
1886C4—22no—
1887C4—41no—
1888C4—42no—
1889C4—41no—
1890C4—44no—
1891C4—42no—
1892C4—42no—
1893C4—44no—
1894C4—42no—
1895C4—42no—
1896C4—41no—
1897C4—42no—
1898C4—41no—
1899C4—41no—
1900C4—42no—
1901C4—41no—
1902C4—42no—
1903C4—44no—
1904C4C2×#53214yes—
1905C2—28no—
1906C2—44no—
1907C2—42no—
1908C2—81no—
1909C2—82no—
1910C2—82no—
1911C2—81no—
1912C2C22×#53211yescharacteristic
1913C2#6284211yescharacteristic
1914C2#6284712yes—
1915C2#6285712yes—
1916C2#6285911yescharacteristic
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. C2×#3513C2semidirect
3. #36061C2semidirect
4. #36060C2semidirect
5. #36045C2semidirect
6. #36042C2semidirect
7. #36012C2semidirect
8. #36009C2semidirect
9. #35959C2semidirect
10. #35940C2semidirect
11. #35939C2semidirect
12. #35929C2semidirect
13. #35928C2semidirect
14. #35923C2semidirect
15. #35912C2semidirect
16. #35856C2semidirect
17. #35773C2semidirect
18. #35764C2semidirect
19. #35761C2semidirect
20. #35697C2semidirect
21. #35212C2semidirect
22. #35201C2semidirect
23. #35170C2semidirect
24. #35169C2semidirect
25. #35085C2semidirect
26. #35064C2semidirect
27. #35009C2semidirect
28. #35008C2semidirect
29. #34643C2semidirect
30. #34631C2semidirect
31. #34575C2semidirect
32. C2×#2663C2semidirect
33. #34309C2semidirect
34. #34308C2semidirect
35. C4×#518C2semidirect
39. C2×#556C22semidirect
41. C2×#554C22semidirect
45. C2×#552C22semidirect
48. C2×#551C22semidirect
50. C2×#548C22semidirect
54. C2×#547C22semidirect
62. C2×#542C22semidirect
65. C2×#539C22semidirect
67. C2×#533C22semidirect
70. C2×#529C22semidirect
72. C2×#525C22semidirect
74. C22×C22⋊Q8C22semidirect
80. #2861C22semidirect
81. #2860C22semidirect
82. #2859C22semidirect
83. #2857C22semidirect
84. #2854C22semidirect
85. #2854C22semidirect
86. #2850C22semidirect
87. #2664C22semidirect
88. #2664C22semidirect
89. #2664C22semidirect
90. #2664C22semidirect
94. #2663C22semidirect
95. #2663C22semidirect
96. #2663C22semidirect
97. #2663C22semidirect
98. #2663C22semidirect
99. #2663C22semidirect
100. #2663C22semidirect
101. #2663C22semidirect
102. #2663C22semidirect
103. #2663C22semidirect
104. #2663C22semidirect
105. #2663C22semidirect
106. #2663C22semidirect
107. #2663C22semidirect
108. #2662C22semidirect
109. #2662C22semidirect
110. #2662C22semidirect
113. #2661C22semidirect
114. #2661C22semidirect
115. #2661C22semidirect
116. #2660C22semidirect
117. #2659C22semidirect
118. #2658C22semidirect
119. #2656C22semidirect
120. #2642C22semidirect
121. #2640C22semidirect
122. #2639C22semidirect
123. #2639C22semidirect
124. #2621C22semidirect
127. #2617C22semidirect
128. #2611C22semidirect
129. #2610C22semidirect
130. #2604C22semidirect
131. #2604C22semidirect
133. #2602C22semidirect
134. #2602C22semidirect
135. #2592C22semidirect
136. #2591C22semidirect
137. #2584C22semidirect
138. #2583C22semidirect
139. #2568C22semidirect
140. #2567C22semidirect
141. #2564C22semidirect
142. #2564C22semidirect
143. #2564C22semidirect
144. #2564C22semidirect
145. #2563C22semidirect
146. #2562C22semidirect
147. #2561C22semidirect
148. #2560C22semidirect
149. #2559C22semidirect
150. #2559C22semidirect
151. #2558C22semidirect
152. #2557C22semidirect
153. #2557C22semidirect
154. #2556C22semidirect
155. #2556C22semidirect
156. #2555C22semidirect
157. #2553C22semidirect
158. #2553C22semidirect
159. #2553C22semidirect
160. #2551C22semidirect
161. #2550C22semidirect
162. #2549C22semidirect
163. #2547C22semidirect
165. #2543C22semidirect
166. #2542C22semidirect
167. #2542C22semidirect
168. #2540C22semidirect
169. #2540C22semidirect
170. #2539C22semidirect
171. #2539C22semidirect
173. #2535C22semidirect
175. #2521C22semidirect
176. #2521C22semidirect
177. #2521C22semidirect
178. #2519C22semidirect
179. #2506C22semidirect
180. #2503C22semidirect
181. #2501C22semidirect
182. #2501C22semidirect
184. #2499C22semidirect
185. #2499C22semidirect
186. #2498C22semidirect
187. #2498C22semidirect
188. #2496C22semidirect
189. #2496C22semidirect
190. #2492C22semidirect
191. #2492C22semidirect
192. #2491C22semidirect
193. #2491C22semidirect
194. #2489C22semidirect
195. #2488C22semidirect
196. #2488C22semidirect
197. #2488C22semidirect
198. #2486C22semidirect
199. #2472C22semidirect
200. #2464C22semidirect
201. #2461C22semidirect
202. #2452C22semidirect
203. #2440C22semidirect
204. #2436C22semidirect
205. #2434C22semidirect
206. #2432C22semidirect
207. #2430C22semidirect
208. #2430C22semidirect
211. #2427C22semidirect
212. #2427C22semidirect
214. #2425C22semidirect
215. #2425C22semidirect
217. #2422C22semidirect
220. #2415C22semidirect
221. #2415C22semidirect
224. #2412C22semidirect
225. #2412C22semidirect
227. #2399C22semidirect
228. #2398C22semidirect
229. #2398C22semidirect
230. #2397C22semidirect
231. #2396C22semidirect
232. #2396C22semidirect
233. #2395C22semidirect
234. #2395C22semidirect
235. #2395C22semidirect
236. #2395C22semidirect
237. C2×#400C22semidirect
238. C2×#399C22semidirect
240. #2392C22semidirect
241. C2×#397C22semidirect
242. #2388C22semidirect
243. #2388C22semidirect
244. #2388C22semidirect
245. C2×#395C22semidirect
247. C2×#393C22semidirect
248. #2367C22semidirect
249. #2365C22semidirect
250. #2364C22semidirect
251. #2362C22semidirect
252. #2361C22semidirect
253. #2361C22semidirect
254. #2360C22semidirect
255. #2360C22semidirect
256. #2359C22semidirect
257. #2359C22semidirect
258. #2359C22semidirect
259. #2358C22semidirect
260. #2352C22semidirect
263. D4×C4⋊C4C22semidirect
264. #2344C22semidirect
265. #2342C22semidirect
270. #2324C22semidirect
271. #2323C22semidirect
272. #2323C22semidirect
273. #2323C22semidirect
274. #2322C22semidirect
275. #2322C22semidirect
276. #2322C22semidirect
277. #2321C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×#124C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. #2293C22semidirect
283. #2293C22semidirect
284. C2×#389C22semidirect
285. C2×#388C22semidirect
288. #2275C22semidirect
289. #2275C22semidirect
290. #2275C22semidirect
291. #2275C22semidirect
292. #2274C22semidirect
293. #2273C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect
299. C2×C4×C22⋊C4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
461. C2×C4×D4D4semidirect
1073. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
C2×#35132
#360612
#360602
#360452
#360422
#360122
#360092
#359592
#359402
#359392
#359292
#359282
#359232
#359122
#358562
#357732
#357642
#357612
#356972
#352122
#352012
#351702
#351692
#350852
#350642
#350092
#350082
#346432
#346312
#345752
C2×#26632
#343092
#343082
C4×#5182