Finite Group Databasebeta

← #7693784

Subgroups — #7693784

Order 512.

7339 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3508C211yesmaximal, characteristic, complemented
2C2×#3507C211yesmaximal, characteristic, complemented
3#59829C212yesmaximal, complemented
4#59804C214yesmaximal, complemented
5#59416C212yesmaximal, complemented
6#59411C211yesmaximal, characteristic, complemented
7#59146C212yesmaximal, complemented
8#59143C211yesmaximal, characteristic, complemented
9#59038C212yesmaximal, complemented
10#59033C211yesmaximal, characteristic, complemented
11#45146C212yesmaximal, complemented
12#44955C212yesmaximal, complemented
13#44452C214yesmaximal, complemented
14#43008C214yesmaximal, complemented
15#39881C212yesmaximal, complemented
16#39877C212yesmaximal, complemented
17#39725C211yesmaximal, characteristic, complemented
18#39724C211yesmaximal, characteristic, complemented
19#39388C214yesmaximal, complemented
20#39357C212yesmaximal, complemented
21#36583C211yesmaximal, characteristic, complemented
22#36580C211yesmaximal, characteristic, complemented
23#36538C211yesmaximal, characteristic, complemented
24#36505C211yesmaximal, characteristic, complemented
25#36419C212yesmaximal, complemented
26#36238C212yesmaximal, complemented
27#36141C212yesmaximal, complemented
28#36121C211yesmaximal, characteristic, complemented
29#36033C212yesmaximal, complemented
30#35704C212yesmaximal, complemented
31#34929C211yesmaximal, characteristic, complemented
32#34889C212yesmaximal, complemented
33#34309C212yesmaximal, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36#3508—216no—
37#3507—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2212yes—
40C2×#559C2211yescharacteristic
41C2×#559C2211yescharacteristic
42C2×#557C2211yescharacteristic, complemented
43C2×#557C2211yescharacteristic, complemented
44C2×#556C2212yescomplemented
45C2×#556C2212yescomplemented
46C2×#556C2212yescomplemented
47C2×#554C2212yescomplemented
48C2×#552C2214yescomplemented
49C2×#550C2211yescharacteristic
50C2×#550C2211yescharacteristic
51C2×#550C2212yes—
52C2×#548C2211yescharacteristic
53C2×#546C2214yes—
54C2×#546C2212yes—
55C2×#546C2212yes—
56C2×#546C2212yes—
57C2×#540C2214yes—
58C2×#539C2214yescomplemented
59C2×#536C2212yescomplemented
60C2×#535C2212yes—
61C2×#533C2211yescharacteristic
62C2×#533C2211yescharacteristic, complemented
63C2×#532C2212yes—
64C2×#532C2211yescharacteristic
65C2×#532C2212yes—
66C22×#127C2211yescharacteristic
67C2×#529C2212yescomplemented
68C2×#529C2212yescomplemented
69C2×#520C2212yescomplemented
70C2×#518C2212yes—
71C2×C4×#41C2211yescharacteristic
72C22×C4×Q8C2211yescharacteristic, complemented
73#2861C2212yescomplemented
74#2858C2211yescharacteristic
75#2858C2212yescomplemented
76#2857C2211yescharacteristic
77#2856C2211yescharacteristic
78#2851C2212yescomplemented
79#2850C2212yescomplemented
80#2850C2214yescomplemented
81#2719C2214yescomplemented
82#2718C2214yescomplemented
83#2711C2214yescomplemented
84#2709C2214yes—
85#2706C2214yescomplemented
86#2701C2214yescomplemented
87#2700C2214yescomplemented
88#2693C2214yescomplemented
89#2691C2214yescomplemented
90#2690C2214yes—
91#2688C2214yescomplemented
92#2687C2214yescomplemented
93#2685C2214yes—
94#2685C2214yes—
95#2681C2214yescomplemented
96#2681C2214yescomplemented
97#2678C2214yes—
98#2678C2214yes—
99#2676C2214yescomplemented
100#2674C2214yescomplemented
101#2672C2214yescomplemented
102#2638C2214yescomplemented
103#2635C2214yescomplemented
104#2621C2212yes—
105#2619C2212yescomplemented
106#2592C2212yescomplemented
107#2591C2214yescomplemented
108#2582C2211yescharacteristic, complemented
109#2581C2212yescomplemented
110#2580C2212yescomplemented
111#2580C2212yescomplemented
112#2568C2212yescomplemented
113#2568C2211yescharacteristic, complemented
114#2566C2212yescomplemented
115#2562C2212yes—
116#2561C2214yes—
117#2559C2214yescomplemented
118#2559C2214yescomplemented
119#2559C2214yescomplemented
120#2559C2214yescomplemented
121#2559C2214yescomplemented
122#2558C2214yescomplemented
123#2558C2214yescomplemented
124#2557C2214yescomplemented
125#2556C2212yes—
126#2556C2212yescomplemented
127#2553C2214yescomplemented
128#2551C2211yescharacteristic, complemented
129#2550C2212yescomplemented
130#2548C2211yescharacteristic
131#2548C2211yescharacteristic
132#2548C2212yescomplemented
133#2548C2212yescomplemented
134#2547C2212yescomplemented
135#2547C2211yescharacteristic, complemented
136#2546C2211yescharacteristic, complemented
137#2545C2212yescomplemented
138#2545C2212yescomplemented
139#2545C2212yescomplemented
140#2544C2212yes—
141#2544C2212yes—
142#2544C2212yes—
143#2544C2212yescomplemented
144#2544C2212yescomplemented
145#2542C2211yescharacteristic
146#2540C2212yescomplemented
147#2538C2211yescharacteristic
148#2538C2211yescharacteristic, complemented
149#2536C2212yes—
150#2535C2212yescomplemented
151#2521C2214yescomplemented
152#2506C2212yescomplemented
153#2500C2214yescomplemented
154#2492C2211yescharacteristic
155#2492C2211yescharacteristic, complemented
156#2491C2212yescomplemented
157#2490C2214yescomplemented
158#2490C2212yescomplemented
159#2490C2214yescomplemented
160#2490C2212yescomplemented
161#2489C2212yes—
162#2488C2214yescomplemented
163#2488C2214yescomplemented
164#2482C2214yes—
165#2480C2214yes—
166#2480C2214yes—
167#2476C2214yescomplemented
168#2476C2214yescomplemented
169#2476C2214yescomplemented
170#2475C2214yescomplemented
171#2472C2214yes—
172#2472C2214yes—
173#2472C2214yes—
174#2470C2214yescomplemented
175#2468C2214yescomplemented
176#2468C2214yescomplemented
177#2466C2214yescomplemented
178#2464C2214yescomplemented
179#2464C2214yescomplemented
180#2460C2214yes—
181#2458C2214yescomplemented
182#2457C2214yescomplemented
183#2456C2214yescomplemented
184#2456C2214yescomplemented
185#2452C2212yes—
186#2450C2214yescomplemented
187#2448C2212yescomplemented
188#2447C2212yescomplemented
189#2447C2212yescomplemented
190#2446C2212yescomplemented
191#2446C2212yescomplemented
192#2445C2212yes—
193#2445C2212yes—
194#2445C2212yes—
195#2445C2212yes—
196#2445C2212yescomplemented
197#2444C2214yescomplemented
198#2443C2214yescomplemented
199#2436C2212yescomplemented
200#2435C2212yes—
201#2435C2212yes—
202#2435C2212yes—
203#2432C2212yes—
204#2432C2214yescomplemented
205#2432C2212yescomplemented
206#2432C2212yescomplemented
207#2431C2212yes—
208#2431C2212yescomplemented
209#2429C2211yescharacteristic
210#2429C2211yescharacteristic, complemented
211#2428C2212yes—
212#2428C2212yes—
213#2427C2212yescomplemented
214#2425C2214yescomplemented
215#2422C2212yescomplemented
216#2421C2212yes—
217#2420C2212yescomplemented
218#2411C2214yes—
219#2408C2212yes—
220#2408C2212yes—
221#2407C2212yescomplemented
222#2407C2212yescomplemented
223#2406C2214yescomplemented
224#2405C2214yes—
225#2396C2212yes—
226#2396C2212yescomplemented
227#2395C2214yescomplemented
228#2388C2214yescomplemented
229#2374C2214yescomplemented
230#2367C2212yes—
231#2367C2212yescomplemented
232#2367C2212yescomplemented
233#2367C2211yescharacteristic, complemented
234#2367C2212yescomplemented
235#2367C2212yescomplemented
236#2367C2212yescomplemented
237#2367C2212yescomplemented
238#2366C2211yescharacteristic
239#2364C2214yescomplemented
240#2362C2212yes—
241#2362C2211yescharacteristic
242#2362C2212yescomplemented
243#2361C2212yes—
244#2361C2212yescomplemented
245#2361C2211yescharacteristic, complemented
246#2359C2214yescomplemented
247#2359C2214yescomplemented
248#2358C2214yes—
249#2357C2212yescomplemented
250#2357C2212yescomplemented
251#2355C2211yescharacteristic, complemented
252#2355C2211yescharacteristic, complemented
253#2352C2211yescharacteristic
254#2352C2212yescomplemented
255#2351C2211yescharacteristic, complemented
256#2349C2212yescomplemented
257#2342C2214yes—
258#2341C2211yescharacteristic
259#2341C2212yescomplemented
260#2341C2212yescomplemented
261Q8×C22⋊C4C2211yescharacteristic, complemented
262#2339C2212yescomplemented
263#2339C2212yescomplemented
264#2339C2212yescomplemented
265D4×C22⋊C4C2212yes—
266D4×C22⋊C4C2212yes—
267D4×C22⋊C4C2212yes—
268D4×C22⋊C4C2212yes—
269#2324C2212yescomplemented
270#2323C2212yes—
271#2322C2214yescomplemented
272#2321C2214yes—
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2212yescomplemented
275C4×#127C2211yescharacteristic
276C4×#124C2212yes—
277C4×#124C2212yescomplemented
278C4×#124C2211yescharacteristic, complemented
279C4×#124C2212yescomplemented
280C4×#124C2212yescomplemented
281C4×#124C2212yescomplemented
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yescomplemented
285C4×C22⋊Q8C2212yescomplemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×#123C2214yescomplemented
288C4×#121C2212yes—
289C4×#121C2214yescomplemented
290C4×#121C2211yescharacteristic, complemented
291C4×#121C2212yescomplemented
292#2297C2214yescomplemented
293#2293C2212yes—
294C2×#388C2214yes—
295C42×Q8C2211yescharacteristic, complemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2212yescomplemented
299C42×D4C2212yescomplemented
300C42×D4C2212yescomplemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2314yes—
306C23×Q8C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2312yes—
309C23×D4C2312yes—
310#559—28no—
311#559—216no—
312#559—28no—
313#559D4116yescomplemented
314#557—28no—
315#557—28no—
316#556—216no—
317#556—216no—
318#556—216no—
319#554—216no—
320#552—232no—
321#550—28no—
322#550—28no—
323#550—216no—
324#548—28no—
325#546—216no—
326#546—232no—
327#546—216no—
328#546—216no—
329#540—232no—
330#539—232no—
331#536—216no—
332#535—216no—
333#533—28no—
334#533—28no—
335#532—28no—
336#532—216no—
337#532—216no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2311yescharacteristic
347C2×#127—28no—
348C2×#127C2311yescharacteristic
349C2×#127C2312yes—
350C2×#127C2312yes—
351C2×#127C2312yes—
352C2×#127C2312yes—
353C2×#127C2312yes—
354C2×#127C2311yescharacteristic
355#529—216no—
356#529—216no—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2314yes—
366C2×#125C2314yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2311yescharacteristic
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2314yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×#121C2312yes—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#120C2314yes—
427C2×#120C2314yes—
428C2×#120C2314yes—
429#520—216no—
430#518—216no—
431C4×#41—28no—
432C2×C4×Q8—28no—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2314yes—
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2314yes—
490C2×#117C2314yes—
491C22×C4⋊C4C2314yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2312yes—
494C22×C22⋊C4C2314yes—
495C22×C22⋊C4C2314yes—
496C22×C22⋊C4C2314yes—
497C22×C22⋊C4C2314yes—
498C22×C42C2312yes—
499C22×C42C2312yes—
500C22×C42C2311yescharacteristic
501C22×C42C2311yescharacteristic
502C22×C42C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#400C2314yes—
507#400C2314yes—
508#400C2312yes—
509#400C2312yes—
510#399C2314yes—
511#399C2314yes—
512#399C2312yes—
513#399C2312yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2312yes—
535#396C2312yes—
536#396C2312yes—
537#396C2312yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#395C2314yes—
542#395C2312yes—
543#395C2312yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#393C2312yes—
571#393C2314yes—
572#393C2314yes—
573#393C2314yes—
574#393C2312yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#391C2312yes—
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2312yes—
585#391C2312yes—
586#391C2311yescharacteristic
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2314yes—
592#391C2312yes—
593#391C2311yescharacteristic
594#391C2312yes—
595#391C2311yescharacteristic
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2311yescharacteristic
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2314yes—
619#390C2312yes—
620#390C2311yescharacteristic
621#390C2312yes—
622#390C2311yescharacteristic
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2312yes—
628#390C2314yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2314yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2314yes—
642#389C2312yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2312yes—
692#388C2314yes—
693#388C2312yes—
694#388C2314yes—
695#387C2312yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2312yes—
702#387C2312yes—
703#387C2314yes—
704#387C2314yes—
705#387C2312yes—
706#387C2314yes—
707#387C2312yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2314yes—
750#385C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#384C2312yes—
757#382C2312yes—
758#382C2314yes—
759#382C2312yes—
760#382C2312yes—
761#382C2311yescharacteristic
762#382C2312yes—
763#381C2314yes—
764#381C2314yes—
765#381C2314yes—
766#381C2314yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2314yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2314yes—
842C2×#95C2314yes—
843C2×#95C2314yes—
844C43C2311yescharacteristic
845C43C2312yes—
846C43C2312yes—
847C25C2414yes—
848C2×#41—24no—
849C2×#41—28no—
850C2×#41—28no—
851C2×#41—28no—
852C2×#41—216no—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—42no—
856C2×#41—44no—
857C2×#41—48no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—84no—
863C22×Q8—24no—
864C22×Q8—24no—
865C22×Q8—42no—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×D4—28no—
876C22×D4—28no—
877C22×D4—28no—
878C22×D4—28no—
879C22×D4—44no—
880C22×D4—44no—
881C22×D4—44no—
882C22×D4—44no—
883C22×D4—82no—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2414yes—
901C22×D4C2412yes—
902C22×D4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2414yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2414yes—
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2414yes—
921C23×C4C2414yes—
922C4⋊Q8—24no—
923C4⋊Q8—24no—
924C4⋊Q8—28no—
925C4⋊Q8—24no—
926C4⋊Q8—24no—
927C4⋊Q8—24no—
928C4⋊Q8—28no—
929C4⋊Q8—42no—
930C4⋊Q8—44no—
931#127—28no—
932#127—28no—
933#127—28no—
934#127—28no—
935#127—24no—
936#127—28no—
937#127C2×D418yes—
938#126—216no—
939#126—216no—
940#126—216no—
941#126—216no—
942#125—28no—
943#125—28no—
944#125—28no—
945#125—216no—
946#125—216no—
947#125—28no—
948#124—28no—
949#124—28no—
950#124—28no—
951#124—28no—
952#124—216no—
953#124—28no—
954#124—28no—
955#124—28no—
956#124—24no—
957#124—44no—
958#124—44no—
959#124—44no—
960#124—44no—
961#124—84no—
962#124C2×D4116yes—
963#124C2×D4116yes—
964#123—216no—
965#123—216no—
966#123—216no—
967#123—216no—
968#123—216no—
969#123—216no—
970#123—216no—
971#123—48no—
972#123—84no—
973#123C2×D4132yes—
974C22⋊Q8—24no—
975C22⋊Q8—24no—
976C22⋊Q8—216no—
977C22⋊Q8—28no—
978C22⋊Q8—24no—
979C22⋊Q8—24no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—24no—
983C22⋊Q8—28no—
984C22⋊Q8—216no—
985C22⋊Q8—216no—
986C22⋊Q8—216no—
987C22⋊Q8—44no—
988C22⋊Q8—42no—
989C22⋊Q8—42no—
990#121—28no—
991#121—28no—
992#121—28no—
993#121—216no—
994#121—28no—
995#121—216no—
996#121—28no—
997#121—24no—
998#121—28no—
999#121—216no—
1000#121—216no—
1001#121—216no—
1002#121—216no—
1003#121—216no—
1004#121—216no—
1005#121—44no—
1006#121—82no—
1007#120—216no—
1008#120—216no—
1009#120—216no—
1010C4×Q8—24no—
1011C4×Q8—24no—
1012C4×Q8—28no—
1013C4×Q8—28no—
1014C4×Q8—24no—
1015C4×Q8—28no—
1016C4×Q8—28no—
1017C4×Q8—24no—
1018C4×Q8—28no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—24no—
1024C4×Q8—24no—
1025C4×Q8—42no—
1026C4×Q8—42no—
1027C4×Q8—42no—
1028C4×Q8C2×D418yes—
1029C4×Q8C2×D418yes—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—216no—
1036C4×D4—216no—
1037C4×D4—28no—
1038C4×D4—24no—
1039C4×D4—28no—
1040C4×D4—216no—
1041C4×D4—216no—
1042C4×D4—216no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—24no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—44no—
1050C4×D4—44no—
1051C4×D4—44no—
1052C4×D4—44no—
1053C4×D4—42no—
1054C4×D4—44no—
1055C4×D4—42no—
1056C4×D4—84no—
1057C4×D4—82no—
1058C4×D4C2×D4116yes—
1059C4×D4C2×D4116yes—
1060C4×D4#4118yescomplemented
1061#117—216no—
1062#117—24no—
1063#117—28no—
1064#117—216no—
1065#117—216no—
1066#117—28no—
1067#117—28no—
1068C2×C4⋊C4—216no—
1069C2×C4⋊C4—24no—
1070C2×C4⋊C4—28no—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C22⋊C4—216no—
1133C2×C22⋊C4—216no—
1134C2×C22⋊C4—216no—
1135C2×C22⋊C4—84no—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C42—28no—
1203C2×C42—24no—
1204C2×C42—24no—
1205C2×C42—28no—
1206C2×C42—84no—
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2412yes—
1211C2×C42C2412yes—
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2412yes—
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2412yes—
1220C2×C42C2412yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2412yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2412yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2411yescharacteristic
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2414yes—
1232C2×C42C2412yes—
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2414yes—
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2412yes—
1252#95C2411yescharacteristic
1253#95C2412yes—
1254#95C2411yescharacteristic
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2411yescharacteristic
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2412yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2411yescharacteristic
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295C24—28no—
1296C24—28no—
1297C24—44no—
1298C24—44no—
1299C24—44no—
1300C24—44no—
1301C24—44no—
1302C24C2514yes—
1303C24C2512yes—
1304C24C2514yes—
1305C24C2511yescharacteristic
1306C24C2511yescharacteristic
1307#41—432no—
1308#41—416no—
1309#41—832no—
1310#41—816no—
1311#41—816no—
1312C2×Q8—22no—
1313C2×Q8—24no—
1314C2×Q8—22no—
1315C2×Q8—24no—
1316C2×Q8—24no—
1317C2×Q8—22no—
1318C2×Q8—24no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—22no—
1322C2×Q8—24no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—22no—
1327C2×Q8—22no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—24no—
1332C2×Q8—22no—
1333C2×Q8—42no—
1334C2×Q8—42no—
1335C2×Q8—42no—
1336C2×Q8—42no—
1337C2×Q8—416no—
1338C2×Q8C22×D414yes—
1339C2×Q8C22×D414yes—
1340C2×D4—28no—
1341C2×D4—28no—
1342C2×D4—28no—
1343C2×D4—24no—
1344C2×D4—28no—
1345C2×D4—24no—
1346C2×D4—28no—
1347C2×D4—28no—
1348C2×D4—28no—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—24no—
1354C2×D4—28no—
1355C2×D4—28no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—28no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—24no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—432no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—816no—
1395C2×D4—816no—
1396C2×D4C22×D418yes—
1397C2×D4C22×D418yes—
1398C2×D4C22×D418yes—
1399C2×D4C2×#4114yes—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—28no—
1405C22×C4—24no—
1406C22×C4—28no—
1407C22×C4—28no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—28no—
1416C22×C4—24no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—28no—
1428C22×C4—28no—
1429C22×C4—28no—
1430C22×C4—44no—
1431C22×C4—41no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—42no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—42no—
1442C22×C4—41no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—42no—
1446C22×C4—44no—
1447C22×C4—41no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4C22×D4116yes—
1455C22×C4C2×#4114yes—
1456C22×C4C2×#4114yes—
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2512yes—
1460C22×C4C2514yes—
1461C22×C4C2512yes—
1462C22×C4C2511yescharacteristic
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2514yes—
1470C22×C4C2512yes—
1471C22×C4C2511yescharacteristic
1472C22×C4C2512yes—
1473C22×C4C2511yescharacteristic
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—22no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—28no—
1503C4⋊C4—28no—
1504C4⋊C4—24no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—28no—
1514C4⋊C4—28no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—22no—
1520C4⋊C4—28no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—22no—
1526C4⋊C4—22no—
1527C4⋊C4—24no—
1528C4⋊C4—41no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—44no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—44no—
1538C4⋊C4—42no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4C22×D414yes—
1544C4⋊C4C22×D418yes—
1545C4⋊C4C22×D414yes—
1546C4⋊C4C22×D418yes—
1547C4⋊C4C2×#4114yes—
1548C22⋊C4—28no—
1549C22⋊C4—28no—
1550C22⋊C4—28no—
1551C22⋊C4—28no—
1552C22⋊C4—28no—
1553C22⋊C4—28no—
1554C22⋊C4—28no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—28no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—28no—
1569C22⋊C4—28no—
1570C22⋊C4—24no—
1571C22⋊C4—28no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—22no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—41no—
1585C22⋊C4—41no—
1586C22⋊C4—42no—
1587C22⋊C4—41no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—42no—
1609C22⋊C4C22×D4116yes—
1610C22⋊C4C22×D4116yes—
1611C22⋊C4C22×D4116yes—
1612C22⋊C4C2×#4114yes—
1613C22⋊C4C2×#4114yes—
1614C42—22no—
1615C42—24no—
1616C42—24no—
1617C42—24no—
1618C42—22no—
1619C42—24no—
1620C42—22no—
1621C42—22no—
1622C42—24no—
1623C42—22no—
1624C42—22no—
1625C42—28no—
1626C42—28no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—22no—
1631C42—24no—
1632C42—22no—
1633C42—24no—
1634C42—22no—
1635C42—42no—
1636C42—42no—
1637C42—44no—
1638C42—44no—
1639C42—41no—
1640C42—42no—
1641C42—41no—
1642C42—42no—
1643C42—42no—
1644C42—42no—
1645C42—42no—
1646C42C22×D418yes—
1647C42C22×D414yes—
1648C42C22×D418yes—
1649C42C2×#4114yes—
1650C23—21no—
1651C23—21no—
1652C23—24no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—24no—
1660C23—24no—
1661C23—24no—
1662C23—24no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—24no—
1668C23—24no—
1669C23—22no—
1670C23—22no—
1671C23—24no—
1672C23—22no—
1673C23—24no—
1674C23—22no—
1675C23—24no—
1676C23—24no—
1677C23—22no—
1678C23—22no—
1679C23—24no—
1680C23—22no—
1681C23—24no—
1682C23—416no—
1683C23—88no—
1684C23—88no—
1685C23—88no—
1686C23—88no—
1687C23—164no—
1688C23—164no—
1689C23C23×D418yes—
1690C23C22×#4112yes—
1691C23C22×#4112yes—
1692C23C2611yescharacteristic
1693Q8—28no—
1694Q8—28no—
1695Q8—48no—
1696Q8—48no—
1697Q8—44no—
1698Q8—48no—
1699Q8—44no—
1700Q8—44no—
1701Q8—84no—
1702D4—216no—
1703D4—216no—
1704D4—48no—
1705D4—44no—
1706D4—416no—
1707D4—416no—
1708D4—48no—
1709D4—416no—
1710D4—48no—
1711D4—48no—
1712D4—44no—
1713D4—48no—
1714D4—84no—
1715D4—88no—
1716D4—88no—
1717D4—88no—
1718D4—88no—
1719D4—88no—
1720D4—88no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—28no—
1742C2×C4—28no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—24no—
1775C2×C4—22no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—24no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—416no—
1798C2×C4—44no—
1799C2×C4—48no—
1800C2×C4—48no—
1801C2×C4—48no—
1802C2×C4—416no—
1803C2×C4—44no—
1804C2×C4—44no—
1805C2×C4—48no—
1806C2×C4—84no—
1807C2×C4—82no—
1808C2×C4—88no—
1809C2×C4—88no—
1810C2×C4—88no—
1811C2×C4—88no—
1812C2×C4—88no—
1813C2×C4—88no—
1814C2×C4C23×D414yes—
1815C2×C4C23×D414yes—
1816C2×C4C23×D414yes—
1817C2×C4C23×D412yes—
1818C2×C4C23×D414yes—
1819C2×C4C23×D412yes—
1820C2×C4C23×D412yes—
1821C2×C4C22×#4112yes—
1822C2×C4C22×#4112yes—
1823C2×C4C22×#4112yes—
1824C2×C4C22×#4112yes—
1825C2×C4C22×#4112yes—
1826C2×C4#58512yes—
1827C2×C4#58512yes—
1828C2×C4#58512yes—
1829C2×C4#58512yes—
1830C22—28no—
1831C22—22no—
1832C22—22no—
1833C22—28no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—28no—
1839C22—41no—
1840C22—41no—
1841C22—44no—
1842C22—41no—
1843C22—44no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—44no—
1848C22—44no—
1849C22—41no—
1850C22—41no—
1851C22—42no—
1852C22—44no—
1853C22—44no—
1854C22—42no—
1855C22—42no—
1856C22—44no—
1857C22—42no—
1858C22—44no—
1859C22—42no—
1860C22—44no—
1861C22—42no—
1862C22—44no—
1863C22—42no—
1864C22—44no—
1865C22—1616no—
1866C22C24×D411yescharacteristic
1867C22C23×#4111yescharacteristic
1868C22C2×#58511yescharacteristic
1869C22C2×#58511yescharacteristic
1870C22C2×#58511yescharacteristic
1871C22C2×#58511yescharacteristic
1872C22H(7,𝔽2)11yescharacteristic
1873C4—24no—
1874C4—22no—
1875C4—24no—
1876C4—22no—
1877C4—22no—
1878C4—24no—
1879C4—22no—
1880C4—22no—
1881C4—22no—
1882C4—24no—
1883C4—42no—
1884C4—42no—
1885C4—42no—
1886C4—41no—
1887C4—44no—
1888C4—41no—
1889C4—42no—
1890C4—41no—
1891C4—42no—
1892C4—41no—
1893C4—42no—
1894C4—42no—
1895C4—42no—
1896C4—44no—
1897C4—42no—
1898C4—41no—
1899C4—42no—
1900C4—42no—
1901C4D4×#4114yes—
1902C4#350014yes—
1903C2—42no—
1904C2—48no—
1905C2—42no—
1906C2—82no—
1907C2—84no—
1908C2C2×D4×#4111yescharacteristic
1909C2C2×#350011yescharacteristic
1910C2#6281511yescharacteristic
1911C2#6296911yescharacteristic
1912C2#6298711yescharacteristic
1913C2#6301011yescharacteristic
1914C2#6303611yescharacteristic
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×#3508C2semidirect
2. C2×#3507C2semidirect
3. #59829C2semidirect
4. #59804C2semidirect
5. #59416C2semidirect
6. #59411C2semidirect
7. #59146C2semidirect
8. #59143C2semidirect
9. #59038C2semidirect
10. #59033C2semidirect
11. #45146C2semidirect
12. #44955C2semidirect
13. #44452C2semidirect
14. #43008C2semidirect
15. #39881C2semidirect
16. #39877C2semidirect
17. #39725C2semidirect
18. #39724C2semidirect
19. #39388C2semidirect
20. #39357C2semidirect
21. #36583C2semidirect
22. #36580C2semidirect
23. #36538C2semidirect
24. #36505C2semidirect
25. #36419C2semidirect
26. #36238C2semidirect
27. #36141C2semidirect
28. #36121C2semidirect
29. #36033C2semidirect
30. #35704C2semidirect
31. #34929C2semidirect
32. #34889C2semidirect
33. #34309C2semidirect
34. C4×#559C2semidirect
35. C4×#548C2semidirect
42. C2×#557C22semidirect
43. C2×#557C22semidirect
44. C2×#556C22semidirect
45. C2×#556C22semidirect
46. C2×#556C22semidirect
47. C2×#554C22semidirect
48. C2×#552C22semidirect
58. C2×#539C22semidirect
59. C2×#536C22semidirect
62. C2×#533C22semidirect
67. C2×#529C22semidirect
68. C2×#529C22semidirect
69. C2×#520C22semidirect
72. C22×C4×Q8C22semidirect
73. #2861C22semidirect
75. #2858C22semidirect
78. #2851C22semidirect
79. #2850C22semidirect
80. #2850C22semidirect
81. #2719C22semidirect
82. #2718C22semidirect
83. #2711C22semidirect
85. #2706C22semidirect
86. #2701C22semidirect
87. #2700C22semidirect
88. #2693C22semidirect
89. #2691C22semidirect
91. #2688C22semidirect
92. #2687C22semidirect
95. #2681C22semidirect
96. #2681C22semidirect
99. #2676C22semidirect
100. #2674C22semidirect
101. #2672C22semidirect
102. #2638C22semidirect
103. #2635C22semidirect
105. #2619C22semidirect
106. #2592C22semidirect
107. #2591C22semidirect
108. #2582C22semidirect
109. #2581C22semidirect
110. #2580C22semidirect
111. #2580C22semidirect
112. #2568C22semidirect
113. #2568C22semidirect
114. #2566C22semidirect
117. #2559C22semidirect
118. #2559C22semidirect
119. #2559C22semidirect
120. #2559C22semidirect
121. #2559C22semidirect
122. #2558C22semidirect
123. #2558C22semidirect
124. #2557C22semidirect
126. #2556C22semidirect
127. #2553C22semidirect
128. #2551C22semidirect
129. #2550C22semidirect
132. #2548C22semidirect
133. #2548C22semidirect
134. #2547C22semidirect
135. #2547C22semidirect
136. #2546C22semidirect
137. #2545C22semidirect
138. #2545C22semidirect
139. #2545C22semidirect
143. #2544C22semidirect
144. #2544C22semidirect
146. #2540C22semidirect
148. #2538C22semidirect
150. #2535C22semidirect
151. #2521C22semidirect
152. #2506C22semidirect
153. #2500C22semidirect
155. #2492C22semidirect
156. #2491C22semidirect
157. #2490C22semidirect
158. #2490C22semidirect
159. #2490C22semidirect
160. #2490C22semidirect
162. #2488C22semidirect
163. #2488C22semidirect
167. #2476C22semidirect
168. #2476C22semidirect
169. #2476C22semidirect
170. #2475C22semidirect
174. #2470C22semidirect
175. #2468C22semidirect
176. #2468C22semidirect
177. #2466C22semidirect
178. #2464C22semidirect
179. #2464C22semidirect
181. #2458C22semidirect
182. #2457C22semidirect
183. #2456C22semidirect
184. #2456C22semidirect
186. #2450C22semidirect
187. #2448C22semidirect
188. #2447C22semidirect
189. #2447C22semidirect
190. #2446C22semidirect
191. #2446C22semidirect
196. #2445C22semidirect
197. #2444C22semidirect
198. #2443C22semidirect
199. #2436C22semidirect
204. #2432C22semidirect
205. #2432C22semidirect
206. #2432C22semidirect
208. #2431C22semidirect
210. #2429C22semidirect
213. #2427C22semidirect
214. #2425C22semidirect
215. #2422C22semidirect
217. #2420C22semidirect
221. #2407C22semidirect
222. #2407C22semidirect
223. #2406C22semidirect
226. #2396C22semidirect
227. #2395C22semidirect
228. #2388C22semidirect
229. #2374C22semidirect
231. #2367C22semidirect
232. #2367C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
236. #2367C22semidirect
237. #2367C22semidirect
239. #2364C22semidirect
242. #2362C22semidirect
244. #2361C22semidirect
245. #2361C22semidirect
246. #2359C22semidirect
247. #2359C22semidirect
249. #2357C22semidirect
250. #2357C22semidirect
251. #2355C22semidirect
252. #2355C22semidirect
254. #2352C22semidirect
255. #2351C22semidirect
256. #2349C22semidirect
259. #2341C22semidirect
260. #2341C22semidirect
261. Q8×C22⋊C4C22semidirect
262. #2339C22semidirect
263. #2339C22semidirect
264. #2339C22semidirect
269. #2324C22semidirect
271. #2322C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
277. C4×#124C22semidirect
278. C4×#124C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
281. C4×#124C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×#123C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2297C22semidirect
295. C42×Q8C22semidirect
296. C42×Q8C22semidirect
298. C42×D4C22semidirect
299. C42×D4C22semidirect
300. C42×D4C22semidirect
313. #559D4semidirect
1060. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35082
C2×#35072
#598292
#598042
#594162
#594112
#591462
#591432
#590382
#590332
#451462
#449552
#444522
#430082
#398812
#398772
#397252
#397242
#393882
#393572
#365832
#365802
#365382
#365052
#364192
#362382
#361412
#361212
#360332
#357042
#349292
#348892
#343092
C4×#5592
C4×#5482