Finite Group Databasebeta

← #7677805

Subgroups — #7677805

Order 512.

7429 conjugacy classes of subgroups.

The subgroup lattice has 1957 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3508C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#59829C212yesmaximal, complemented
4#59641C212yesmaximal, complemented
5#59416C212yesmaximal, complemented
6#59414C212yesmaximal, complemented
7#59143C211yesmaximal, characteristic, complemented
8#59124C211yesmaximal, characteristic, complemented
9#59078C211yesmaximal, characteristic, complemented
10#59070C211yesmaximal, characteristic, complemented
11#59067C211yesmaximal, characteristic, complemented
12#59065C211yesmaximal, characteristic, complemented
13#59049C211yesmaximal, characteristic, complemented
14#59039C211yesmaximal, characteristic, complemented
15#45094C212yesmaximal, complemented
16#45093C212yesmaximal, complemented
17#45004C212yesmaximal, complemented
18#44899C212yesmaximal, complemented
19#43117C214yesmaximal, complemented
20#43114C214yesmaximal, complemented
21#39888C212yesmaximal, complemented
22#39865C212yesmaximal, complemented
23#39847C214yesmaximal, complemented
24#38362C214yesmaximal, complemented
25#36433C212yesmaximal, complemented
26#36216C212yesmaximal, complemented
27#35570C212yesmaximal, complemented
28#35523C212yesmaximal, complemented
29#35249C211yesmaximal, characteristic, complemented
30#35156C212yesmaximal, complemented
31#34977C211yesmaximal, characteristic, complemented
32#34909C211yesmaximal, characteristic, complemented
33#34292C212yesmaximal, complemented
34#34232C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36#3508—216no—
37#3480—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2212yes—
40C2×#559C2212yes—
41C2×#559C2212yescomplemented
42C2×#557C2211yescharacteristic, complemented
43C2×#556C2212yescomplemented
44C2×#556C2211yescharacteristic, complemented
45C2×#553C2212yescomplemented
46C2×#553C2214yescomplemented
47C2×#550C2212yes—
48C2×#550C2212yes—
49C2×#550C2211yescharacteristic
50C2×#548C2212yescomplemented
51C2×#546C2212yes—
52C2×#546C2212yes—
53C2×#546C2212yes—
54C2×#546C2212yes—
55C2×#546C2212yes—
56C2×#540C2212yes—
57C2×#540C2212yes—
58C2×#536C2211yescharacteristic
59C2×#535C2212yes—
60C2×#533C2211yescharacteristic
61C2×#532C2211yescharacteristic
62C2×#532C2211yescharacteristic
63C2×#532C2211yescharacteristic
64C2×#532C2211yescharacteristic
65C2×#532C2212yescomplemented
66C22×#127C2211yescharacteristic
67C2×#529C2214yescomplemented
68C2×#529C2212yescomplemented
69C2×#518C2212yes—
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2212yescomplemented
72C2×C4×#41C2212yescomplemented
73C2×C4×#41C2211yescharacteristic, complemented
74C22×C4×Q8C2211yescharacteristic, complemented
75#2854C2214yescomplemented
76#2854C2212yescomplemented
77#2854C2212yescomplemented
78#2853C2214yescomplemented
79#2723C2214yes—
80#2720C2214yes—
81#2718C2214yescomplemented
82#2717C2214yescomplemented
83#2714C2214yescomplemented
84#2711C2214yescomplemented
85#2710C2214yescomplemented
86#2710C2214yescomplemented
87#2709C2214yes—
88#2706C2214yescomplemented
89#2699C2214yescomplemented
90#2688C2214yescomplemented
91#2687C2214yescomplemented
92#2686C2214yescomplemented
93#2685C2214yes—
94#2682C2214yescomplemented
95#2678C2214yes—
96#2678C2214yes—
97#2674C2214yescomplemented
98#2673C2214yes—
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2671C2214yescomplemented
102#2670C2214yes—
103#2635C2214yescomplemented
104#2632C2214yescomplemented
105#2630C2214yescomplemented
106#2610C2214yescomplemented
107#2602C2214yescomplemented
108#2600C2212yes—
109#2600C2212yescomplemented
110#2600C2214yescomplemented
111#2599C2212yescomplemented
112#2598C2212yes—
113#2581C2211yescharacteristic, complemented
114#2580C2212yescomplemented
115#2580C2212yescomplemented
116#2580C2211yescharacteristic, complemented
117#2567C2211yescharacteristic, complemented
118#2567C2211yescharacteristic, complemented
119#2567C2211yescharacteristic, complemented
120#2563C2211yescharacteristic, complemented
121#2559C2214yescomplemented
122#2557C2214yescomplemented
123#2553C2214yescomplemented
124#2553C2214yescomplemented
125#2552C2212yescomplemented
126#2548C2211yescharacteristic
127#2548C2211yescharacteristic
128#2548C2211yescharacteristic
129#2548C2212yescomplemented
130#2545C2212yescomplemented
131#2544C2212yes—
132#2544C2212yes—
133#2543C2214yescomplemented
134#2541C2211yescharacteristic
135#2541C2212yes—
136#2540C2212yescomplemented
137#2539C2214yes—
138#2537C2212yescomplemented
139#2536C2211yescharacteristic
140#2535C2211yescharacteristic
141#2534C2214yes—
142#2521C2214yescomplemented
143#2501C2212yescomplemented
144#2501C2214yescomplemented
145#2500C2212yescomplemented
146#2500C2214yescomplemented
147#2498C2214yescomplemented
148#2491C2214yescomplemented
149#2490C2212yescomplemented
150#2489C2212yescomplemented
151#2488C2214yescomplemented
152#2485C2211yescharacteristic
153#2485C2211yescharacteristic, complemented
154#2485C2214yescomplemented
155#2482C2214yes—
156#2480C2214yes—
157#2476C2214yescomplemented
158#2472C2214yes—
159#2470C2214yescomplemented
160#2469C2214yescomplemented
161#2467C2214yescomplemented
162#2466C2214yescomplemented
163#2464C2214yescomplemented
164#2462C2214yescomplemented
165#2460C2214yescomplemented
166#2456C2214yescomplemented
167#2455C2214yescomplemented
168#2455C2214yescomplemented
169#2454C2212yescomplemented
170#2453C2212yescomplemented
171#2448C2212yescomplemented
172#2448C2212yescomplemented
173#2448C2212yescomplemented
174#2447C2212yescomplemented
175#2447C2212yescomplemented
176#2446C2212yescomplemented
177#2445C2212yes—
178#2445C2212yes—
179#2445C2212yes—
180#2445C2214yescomplemented
181#2445C2214yescomplemented
182#2445C2212yescomplemented
183#2444C2214yescomplemented
184#2443C2214yescomplemented
185#2441C2212yes—
186#2441C2212yescomplemented
187#2436C2212yescomplemented
188#2435C2212yes—
189#2435C2212yes—
190#2433C2212yes—
191#2432C2212yescomplemented
192#2431C2212yes—
193#2431C2212yescomplemented
194#2431C2212yescomplemented
195#2430C2214yescomplemented
196#2429C2212yes—
197#2428C2212yes—
198#2428C2212yescomplemented
199#2427C2212yescomplemented
200#2427C2212yescomplemented
201#2427C2212yescomplemented
202#2426C2212yes—
203#2426C2212yescomplemented
204#2423C2212yes—
205#2422C2212yescomplemented
206#2422C2214yescomplemented
207#2422C2212yescomplemented
208#2422C2214yescomplemented
209#2422C2212yescomplemented
210#2421C2212yes—
211#2420C2212yescomplemented
212#2420C2214yescomplemented
213#2418C2214yes—
214#2418C2214yes—
215#2418C2214yes—
216#2415C2212yes—
217#2414C2212yescomplemented
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2410C2214yes—
221#2408C2212yes—
222#2407C2211yescharacteristic
223#2407C2212yescomplemented
224#2407C2211yescharacteristic, complemented
225#2406C2214yescomplemented
226#2406C2214yescomplemented
227#2405C2214yes—
228#2395C2212yescomplemented
229#2388C2212yes—
230#2388C2214yescomplemented
231#2367C2212yescomplemented
232#2366C2211yescharacteristic
233#2366C2211yescharacteristic
234#2365C2211yescharacteristic, complemented
235#2365C2211yescharacteristic, complemented
236#2363C2212yescomplemented
237#2363C2212yescomplemented
238#2363C2212yescomplemented
239#2362C2212yes—
240#2361C2214yescomplemented
241#2359C2214yescomplemented
242#2358C2214yes—
243#2354C2212yes—
244#2353C2214yescomplemented
245#2351C2212yescomplemented
246Q8×C4⋊C4C2212yescomplemented
247#2349C2212yescomplemented
248D4×C4⋊C4C2212yescomplemented
249D4×C4⋊C4C2212yescomplemented
250#2342C2214yes—
251#2341C2212yescomplemented
252#2341C2212yescomplemented
253#2341C2212yescomplemented
254#2339C2212yescomplemented
255#2339C2212yescomplemented
256D4×C22⋊C4C2212yes—
257D4×C22⋊C4C2212yes—
258D4×C22⋊C4C2212yes—
259#2333C2214yescomplemented
260#2327C2212yescomplemented
261#2326C2212yes—
262#2326C2212yescomplemented
263#2326C2212yescomplemented
264#2325C2214yescomplemented
265#2323C2211yescharacteristic
266#2323C2211yescharacteristic
267#2323C2211yescharacteristic, complemented
268#2323C2211yescharacteristic, complemented
269#2322C2212yes—
270#2322C2212yescomplemented
271#2321C2214yes—
272#2319C2212yescomplemented
273#2317C2211yescharacteristic, complemented
274#2311C2211yescharacteristic
275#2310C2211yescharacteristic, complemented
276C4×C4⋊Q8C2212yescomplemented
277C4×#127C2212yescomplemented
278C4×#124C2212yes—
279C4×#124C2212yescomplemented
280C4×#124C2212yescomplemented
281C4×#124C2212yescomplemented
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×#123C2212yes—
289C4×#123C2212yescomplemented
290C4×#123C2214yescomplemented
291C4×#121C2211yescharacteristic
292C4×#121C2212yescomplemented
293C4×#121C2211yescharacteristic, complemented
294C4×#121C2212yescomplemented
295#2290C2212yes—
296#2290C2212yescomplemented
297C2×#388C2214yes—
298#2283C2211yescharacteristic, complemented
299#2275C2212yescomplemented
300C4×#117C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C23×Q8C2311yescharacteristic
309C23×D4C2312yes—
310C23×D4C2312yes—
311C23×D4C2312yes—
312#559—28no—
313#559—216no—
314#559—216no—
315#559—216no—
316#557—28no—
317#556—28no—
318#556—216no—
319#553—216no—
320#553—232no—
321#550—216no—
322#550—28no—
323#550—216no—
324#548—216no—
325#546—216no—
326#546—216no—
327#546—216no—
328#546—216no—
329#546—216no—
330#540—216no—
331#540—216no—
332#536—28no—
333#535—216no—
334#533—28no—
335#532—216no—
336#532—28no—
337#532—28no—
338#532—28no—
339#532D4116yescomplemented
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×#127—28no—
345C2×#127C2312yes—
346C2×#127C2311yescharacteristic
347C2×#127C2312yes—
348C2×#127C2312yes—
349C2×#127C2314yes—
350C2×#127C2312yes—
351C2×#127C2312yes—
352C2×#127C2311yescharacteristic
353#529—232no—
354#529—216no—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#125C2312yes—
359C2×#125C2314yes—
360C2×#125C2312yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2314yes—
365C2×#124C2312yes—
366C2×#124C2314yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2311yescharacteristic
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2311yescharacteristic
416C2×#121C2311yescharacteristic
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#120C2314yes—
423C2×#120C2314yes—
424C2×#120C2314yes—
425C2×#120C2314yes—
426#518—216no—
427C4×#41—216no—
428C4×#41—216no—
429C4×#41—28no—
430C4×#41—28no—
431C2×C4×Q8—28no—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2314yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2314yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2314yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×#117C2311yescharacteristic
486C2×#117C2311yescharacteristic
487C2×#117C2311yescharacteristic
488C2×#117C2311yescharacteristic
489C2×#117C2314yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2311yescharacteristic
494C2×#117C2314yes—
495C2×#117C2311yescharacteristic
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2314yes—
499C22×C22⋊C4C2314yes—
500C22×C22⋊C4C2314yes—
501C22×C22⋊C4C2314yes—
502C22×C22⋊C4C2314yes—
503C22×C42C2314yes—
504C22×C42C2312yes—
505C22×C42C2311yescharacteristic
506C22×C42C2311yescharacteristic
507C22×C42C2312yes—
508C22×C42C2311yescharacteristic
509#400C2312yes—
510#400C2314yes—
511#400C2314yes—
512#399C2312yes—
513#399C2314yes—
514#399C2314yes—
515#399C2314yes—
516#399C2314yes—
517#399C2314yes—
518#399C2314yes—
519#398C2312yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#397C2312yes—
524#397C2312yes—
525#397C2312yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#395C2314yes—
540#395C2314yes—
541#395C2314yes—
542#395C2312yes—
543#394C2312yes—
544#394C2312yes—
545#394C2312yes—
546#394C2312yes—
547#394C2312yes—
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#394C2314yes—
571#394C2314yes—
572#393C2314yes—
573#393C2312yes—
574#393C2314yes—
575#393C2314yes—
576#392C2312yes—
577#392C2312yes—
578#392C2312yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#391C2312yes—
590#391C2312yes—
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2311yescharacteristic
594#391C2311yescharacteristic
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2311yescharacteristic
600#391C2311yescharacteristic
601#391C2312yes—
602#391C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2314yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2314yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2311yescharacteristic
618#390C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2314yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2314yes—
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2314yes—
630#390C2314yes—
631#390C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2312yes—
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2314yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#387C2312yes—
703#387C2314yes—
704#387C2312yes—
705#387C2312yes—
706#387C2314yes—
707#387C2314yes—
708#387C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2312yes—
712#387C2312yes—
713#387C2312yes—
714#387C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2312yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2314yes—
744#386C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2314yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#385C2312yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2312yes—
763#385C2312yes—
764#385C2312yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#384C2312yes—
770#384C2312yes—
771#384C2312yes—
772#384C2312yes—
773#384C2314yes—
774#383C2312yes—
775#382C2312yes—
776#382C2312yes—
777#382C2311yescharacteristic
778#382C2311yescharacteristic
779#382C2314yes—
780#381C2312yes—
781#381C2312yes—
782#381C2314yes—
783#381C2312yes—
784#381C2314yes—
785#381C2314yes—
786#380C2312yes—
787#380C2312yes—
788#380C2311yescharacteristic
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#380C2314yes—
793#380C2314yes—
794#380C2311yescharacteristic
795#380C2311yescharacteristic
796#380C2311yescharacteristic
797#380C2311yescharacteristic
798#380C2311yescharacteristic
799#380C2311yescharacteristic
800#380C2314yes—
801#380C2314yes—
802#380C2314yes—
803#380C2314yes—
804#379C2314yes—
805#379C2314yes—
806#379C2314yes—
807#379C2314yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844#376C2312yes—
845#376C2312yes—
846C2×#95C2314yes—
847C2×#95C2314yes—
848C43C2312yes—
849C25C2414yes—
850C2×#41—28no—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—42no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—42no—
862C2×#41—42no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—82no—
867C2×#41—82no—
868C2×#41—82no—
869C2×#41—82no—
870C2×#41C2×D4116yes—
871C22×Q8—24no—
872C22×Q8—24no—
873C22×Q8—42no—
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2411yescharacteristic
878C22×Q8C2412yes—
879C22×Q8C2411yescharacteristic
880C22×Q8C2412yes—
881C22×D4—28no—
882C22×D4—28no—
883C22×D4—28no—
884C22×D4—28no—
885C22×D4—44no—
886C22×D4—44no—
887C22×D4—44no—
888C22×D4—82no—
889C22×D4—82no—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2411yescharacteristic
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2411yescharacteristic
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2412yes—
912C22×D4C2414yes—
913C22×D4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2414yes—
924C23×C4C2414yes—
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2411yescharacteristic
936C4⋊Q8—28no—
937C4⋊Q8—28no—
938C4⋊Q8—24no—
939C4⋊Q8C2×D418yes—
940#127—28no—
941#127—28no—
942#127—28no—
943#127—28no—
944#127—216no—
945#127—24no—
946#127—44no—
947#127C2×D418yes—
948#126—216no—
949#126—216no—
950#126—216no—
951#125—216no—
952#125—28no—
953#125—28no—
954#124—28no—
955#124—28no—
956#124—28no—
957#124—28no—
958#124—28no—
959#124—28no—
960#124—216no—
961#124—216no—
962#124—28no—
963#124—28no—
964#124—44no—
965#124—44no—
966#124C2×D4116yes—
967#123—216no—
968#123—216no—
969#123—28no—
970#123—216no—
971#123—216no—
972#123—216no—
973#123—216no—
974#123—216no—
975#123—216no—
976#123—28no—
977#123—84no—
978#123—84no—
979#123—84no—
980#123—84no—
981#123—84no—
982C22⋊Q8—28no—
983C22⋊Q8—24no—
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—24no—
988C22⋊Q8—216no—
989C22⋊Q8—42no—
990C22⋊Q8—42no—
991C22⋊Q8#4118yescomplemented
992#121—28no—
993#121—216no—
994#121—28no—
995#121—28no—
996#121—216no—
997#121—216no—
998#121—216no—
999#121—216no—
1000#121—28no—
1001#121—28no—
1002#121—216no—
1003#121—28no—
1004#121—28no—
1005#121—28no—
1006#121—216no—
1007#121—216no—
1008#121—44no—
1009#121—42no—
1010#121—42no—
1011#121—84no—
1012#121—84no—
1013#121C2×D4116yes—
1014#121C2×D4116yes—
1015#120—216no—
1016#120—216no—
1017#120—216no—
1018#120—84no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—28no—
1022C4×Q8—28no—
1023C4×Q8—28no—
1024C4×Q8—24no—
1025C4×Q8—28no—
1026C4×Q8—24no—
1027C4×Q8—24no—
1028C4×Q8—24no—
1029C4×Q8—28no—
1030C4×Q8—24no—
1031C4×Q8—24no—
1032C4×Q8—24no—
1033C4×Q8—24no—
1034C4×Q8—44no—
1035C4×Q8—44no—
1036C4×D4—216no—
1037C4×D4—28no—
1038C4×D4—216no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—216no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—28no—
1047C4×D4—24no—
1048C4×D4—24no—
1049C4×D4—28no—
1050C4×D4—216no—
1051C4×D4—216no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—216no—
1057C4×D4—216no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—44no—
1065C4×D4—44no—
1066C4×D4—44no—
1067C4×D4—44no—
1068C4×D4—84no—
1069C4×D4—84no—
1070C4×D4C2×D4116yes—
1071C4×D4C2×D4116yes—
1072#117—24no—
1073#117—216no—
1074#117—24no—
1075#117—28no—
1076#117—28no—
1077#117—24no—
1078#117—216no—
1079#117—24no—
1080#117—28no—
1081#117—24no—
1082#117—42no—
1083C2×C4⋊C4—28no—
1084C2×C4⋊C4—24no—
1085C2×C4⋊C4—84no—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C22⋊C4—216no—
1144C2×C22⋊C4—216no—
1145C2×C22⋊C4—216no—
1146C2×C22⋊C4—84no—
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C42—28no—
1218C2×C42—216no—
1219C2×C42—28no—
1220C2×C42—24no—
1221C2×C42—24no—
1222C2×C42C2×D418yes—
1223C2×C42C2412yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2414yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2414yes—
1230C2×C42C2412yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2412yes—
1234C2×C42C2414yes—
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2414yes—
1248C2×C42C2414yes—
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305C24—28no—
1306C24—28no—
1307C24—44no—
1308C24—44no—
1309C24—44no—
1310C24—44no—
1311C24—44no—
1312C24C2514yes—
1313C24C2512yes—
1314C24C2511yescharacteristic
1315C24C2514yes—
1316C24C2511yescharacteristic
1317C24C2511yescharacteristic
1318#41—416no—
1319#41—432no—
1320#41—416no—
1321#41—432no—
1322#41—816no—
1323#41—816no—
1324#41—816no—
1325C2×Q8—22no—
1326C2×Q8—24no—
1327C2×Q8—22no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—22no—
1332C2×Q8—24no—
1333C2×Q8—22no—
1334C2×Q8—24no—
1335C2×Q8—24no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—22no—
1340C2×Q8—42no—
1341C2×Q8—41no—
1342C2×Q8—42no—
1343C2×Q8—42no—
1344C2×Q8—416no—
1345C2×Q8C22×D418yes—
1346C2×Q8C2×#4114yes—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—28no—
1350C2×D4—28no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—28no—
1355C2×D4—28no—
1356C2×D4—28no—
1357C2×D4—28no—
1358C2×D4—28no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—24no—
1367C2×D4—28no—
1368C2×D4—28no—
1369C2×D4—24no—
1370C2×D4—22no—
1371C2×D4—28no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—22no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—22no—
1379C2×D4—24no—
1380C2×D4—432no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—41no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—41no—
1390C2×D4—44no—
1391C2×D4—42no—
1392C2×D4—41no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—42no—
1398C2×D4—44no—
1399C2×D4—42no—
1400C2×D4—44no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—816no—
1417C2×D4—816no—
1418C2×D4C22×D418yes—
1419C2×D4C22×D418yes—
1420C2×D4C22×D4116yes—
1421C2×D4C22×D418yes—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—24no—
1429C22×C4—28no—
1430C22×C4—24no—
1431C22×C4—28no—
1432C22×C4—28no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—28no—
1441C22×C4—24no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—28no—
1452C22×C4—28no—
1453C22×C4—28no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—42no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—41no—
1463C22×C4—41no—
1464C22×C4—41no—
1465C22×C4—41no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4C22×D414yes—
1484C22×C4C22×D414yes—
1485C22×C4C22×D4116yes—
1486C22×C4C22×D414yes—
1487C22×C4C2×#4114yes—
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2512yes—
1494C22×C4C2512yes—
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2511yescharacteristic
1500C22×C4C2512yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C22×C4C2514yes—
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2511yescharacteristic
1508C22×C4C2511yescharacteristic
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C22×C4C2514yes—
1512C22×C4C2511yescharacteristic
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2511yescharacteristic
1516C22×C4C2511yescharacteristic
1517C4⋊C4—24no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—22no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—22no—
1525C4⋊C4—22no—
1526C4⋊C4—22no—
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—28no—
1530C4⋊C4—28no—
1531C4⋊C4—24no—
1532C4⋊C4—22no—
1533C4⋊C4—22no—
1534C4⋊C4—22no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—28no—
1538C4⋊C4—24no—
1539C4⋊C4—28no—
1540C4⋊C4—28no—
1541C4⋊C4—28no—
1542C4⋊C4—22no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—22no—
1549C4⋊C4—22no—
1550C4⋊C4—22no—
1551C4⋊C4—22no—
1552C4⋊C4—22no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—42no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—42no—
1562C4⋊C4—44no—
1563C4⋊C4—42no—
1564C4⋊C4—42no—
1565C4⋊C4—42no—
1566C4⋊C4—42no—
1567C4⋊C4—42no—
1568C4⋊C4—44no—
1569C4⋊C4—44no—
1570C4⋊C4C22×D418yes—
1571C4⋊C4C22×D418yes—
1572C4⋊C4C2×#4114yes—
1573C4⋊C4C2×#4118yes—
1574C22⋊C4—28no—
1575C22⋊C4—24no—
1576C22⋊C4—22no—
1577C22⋊C4—22no—
1578C22⋊C4—28no—
1579C22⋊C4—28no—
1580C22⋊C4—28no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—22no—
1586C22⋊C4—22no—
1587C22⋊C4—28no—
1588C22⋊C4—28no—
1589C22⋊C4—28no—
1590C22⋊C4—22no—
1591C22⋊C4—22no—
1592C22⋊C4—24no—
1593C22⋊C4—28no—
1594C22⋊C4—24no—
1595C22⋊C4—28no—
1596C22⋊C4—28no—
1597C22⋊C4—28no—
1598C22⋊C4—28no—
1599C22⋊C4—28no—
1600C22⋊C4—24no—
1601C22⋊C4—28no—
1602C22⋊C4—24no—
1603C22⋊C4—28no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—42no—
1611C22⋊C4—44no—
1612C22⋊C4—42no—
1613C22⋊C4—42no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—42no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4—44no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4C22×D4116yes—
1642C22⋊C4C22×D4116yes—
1643C22⋊C4C2×#4118yes—
1644C42—24no—
1645C42—24no—
1646C42—22no—
1647C42—24no—
1648C42—28no—
1649C42—24no—
1650C42—22no—
1651C42—22no—
1652C42—22no—
1653C42—28no—
1654C42—24no—
1655C42—24no—
1656C42—22no—
1657C42—22no—
1658C42—24no—
1659C42—28no—
1660C42—24no—
1661C42—24no—
1662C42—24no—
1663C42—24no—
1664C42—24no—
1665C42—42no—
1666C42—42no—
1667C42—42no—
1668C42—44no—
1669C42—44no—
1670C42C22×D414yes—
1671C42C22×D414yes—
1672C42C22×D414yes—
1673C42C22×D414yes—
1674C23—21no—
1675C23—21no—
1676C23—24no—
1677C23—21no—
1678C23—21no—
1679C23—24no—
1680C23—24no—
1681C23—24no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—24no—
1690C23—21no—
1691C23—24no—
1692C23—22no—
1693C23—24no—
1694C23—21no—
1695C23—21no—
1696C23—24no—
1697C23—22no—
1698C23—24no—
1699C23—21no—
1700C23—21no—
1701C23—22no—
1702C23—24no—
1703C23—22no—
1704C23—21no—
1705C23—22no—
1706C23—24no—
1707C23—21no—
1708C23—22no—
1709C23—22no—
1710C23—24no—
1711C23—24no—
1712C23—21no—
1713C23—416no—
1714C23—88no—
1715C23—88no—
1716C23—88no—
1717C23—88no—
1718C23—164no—
1719C23—164no—
1720C23C23×D418yes—
1721C23C23×D412yes—
1722C23C22×#4112yes—
1723C23C2611yescharacteristic
1724Q8—28no—
1725Q8—216no—
1726Q8—48no—
1727Q8—44no—
1728Q8—48no—
1729Q8—44no—
1730Q8—44no—
1731D4—216no—
1732D4—216no—
1733D4—48no—
1734D4—416no—
1735D4—416no—
1736D4—44no—
1737D4—44no—
1738D4—416no—
1739D4—48no—
1740D4—44no—
1741D4—48no—
1742D4—48no—
1743D4—48no—
1744D4—44no—
1745D4—88no—
1746D4—88no—
1747D4—84no—
1748D4—88no—
1749D4—88no—
1750D4—88no—
1751D4—88no—
1752D4—88no—
1753D4—84no—
1754D4—88no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—24no—
1761C2×C4—24no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—28no—
1772C2×C4—28no—
1773C2×C4—28no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—24no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—24no—
1828C2×C4—24no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—416no—
1832C2×C4—44no—
1833C2×C4—48no—
1834C2×C4—416no—
1835C2×C4—44no—
1836C2×C4—48no—
1837C2×C4—44no—
1838C2×C4—48no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—44no—
1842C2×C4—88no—
1843C2×C4—84no—
1844C2×C4—88no—
1845C2×C4—88no—
1846C2×C4—88no—
1847C2×C4—84no—
1848C2×C4—88no—
1849C2×C4—164no—
1850C2×C4C23×D412yes—
1851C2×C4C23×D418yes—
1852C2×C4C23×D412yes—
1853C2×C4C23×D412yes—
1854C2×C4C23×D412yes—
1855C2×C4C23×D412yes—
1856C2×C4C23×D412yes—
1857C2×C4C22×#4114yes—
1858C2×C4C22×#4114yes—
1859C2×C4C22×#4112yes—
1860C2×C4C22×#4112yes—
1861C2×C4#58512yes—
1862C2×C4#58512yes—
1863C2×C4#58512yes—
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—28no—
1868C22—22no—
1869C22—28no—
1870C22—22no—
1871C22—22no—
1872C22—28no—
1873C22—41no—
1874C22—44no—
1875C22—44no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—44no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—44no—
1884C22—41no—
1885C22—42no—
1886C22—41no—
1887C22—44no—
1888C22—42no—
1889C22—44no—
1890C22—41no—
1891C22—42no—
1892C22—41no—
1893C22—44no—
1894C22—41no—
1895C22—44no—
1896C22—42no—
1897C22—42no—
1898C22—41no—
1899C22—44no—
1900C22—41no—
1901C22—42no—
1902C22—44no—
1903C22—42no—
1904C22—44no—
1905C22—41no—
1906C22—1616no—
1907C22C24×D411yescharacteristic
1908C22C23×#4111yescharacteristic
1909C22C2×#58511yescharacteristic
1910C22C2×#58511yescharacteristic
1911C22C2×#58511yescharacteristic
1912C22H(7,𝔽2)11yescharacteristic
1913C22H(7,𝔽2)11yescharacteristic
1914C4—24no—
1915C4—22no—
1916C4—28no—
1917C4—22no—
1918C4—22no—
1919C4—22no—
1920C4—22no—
1921C4—24no—
1922C4—42no—
1923C4—42no—
1924C4—42no—
1925C4—41no—
1926C4—42no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—42no—
1931C4—42no—
1932C4—44no—
1933C4—42no—
1934C4—42no—
1935C4—41no—
1936C4—42no—
1937C4—42no—
1938C4—42no—
1939C4—42no—
1940C4—42no—
1941C4D4×#4114yes—
1942C4#348514yes—
1943C2—42no—
1944C2—48no—
1945C2—42no—
1946C2—82no—
1947C2—81no—
1948C2—84no—
1949C2C2×D4×#4111yescharacteristic
1950C2C2×#348511yescharacteristic
1951C2#6285211yescharacteristic
1952C2#6296611yescharacteristic
1953C2#6296911yescharacteristic
1954C2#6300611yescharacteristic
1955C2#6301011yescharacteristic
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×#3480C2semidirect
3. #59829C2semidirect
4. #59641C2semidirect
5. #59416C2semidirect
6. #59414C2semidirect
7. #59143C2semidirect
8. #59124C2semidirect
9. #59078C2semidirect
10. #59070C2semidirect
11. #59067C2semidirect
12. #59065C2semidirect
13. #59049C2semidirect
14. #59039C2semidirect
15. #45094C2semidirect
16. #45093C2semidirect
17. #45004C2semidirect
18. #44899C2semidirect
19. #43117C2semidirect
20. #43114C2semidirect
21. #39888C2semidirect
22. #39865C2semidirect
23. #39847C2semidirect
24. #38362C2semidirect
25. #36433C2semidirect
26. #36216C2semidirect
27. #35570C2semidirect
28. #35523C2semidirect
29. #35249C2semidirect
30. #35156C2semidirect
31. #34977C2semidirect
32. #34909C2semidirect
33. #34292C2semidirect
34. #34232C2semidirect
35. C4×#536C2semidirect
41. C2×#559C22semidirect
42. C2×#557C22semidirect
43. C2×#556C22semidirect
44. C2×#556C22semidirect
45. C2×#553C22semidirect
46. C2×#553C22semidirect
50. C2×#548C22semidirect
65. C2×#532C22semidirect
67. C2×#529C22semidirect
68. C2×#529C22semidirect
71. C2×C4×#41C22semidirect
72. C2×C4×#41C22semidirect
73. C2×C4×#41C22semidirect
74. C22×C4×Q8C22semidirect
75. #2854C22semidirect
76. #2854C22semidirect
77. #2854C22semidirect
78. #2853C22semidirect
81. #2718C22semidirect
82. #2717C22semidirect
83. #2714C22semidirect
84. #2711C22semidirect
85. #2710C22semidirect
86. #2710C22semidirect
88. #2706C22semidirect
89. #2699C22semidirect
90. #2688C22semidirect
91. #2687C22semidirect
92. #2686C22semidirect
94. #2682C22semidirect
97. #2674C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2671C22semidirect
103. #2635C22semidirect
104. #2632C22semidirect
105. #2630C22semidirect
106. #2610C22semidirect
107. #2602C22semidirect
109. #2600C22semidirect
110. #2600C22semidirect
111. #2599C22semidirect
113. #2581C22semidirect
114. #2580C22semidirect
115. #2580C22semidirect
116. #2580C22semidirect
117. #2567C22semidirect
118. #2567C22semidirect
119. #2567C22semidirect
120. #2563C22semidirect
121. #2559C22semidirect
122. #2557C22semidirect
123. #2553C22semidirect
124. #2553C22semidirect
125. #2552C22semidirect
129. #2548C22semidirect
130. #2545C22semidirect
133. #2543C22semidirect
136. #2540C22semidirect
138. #2537C22semidirect
142. #2521C22semidirect
143. #2501C22semidirect
144. #2501C22semidirect
145. #2500C22semidirect
146. #2500C22semidirect
147. #2498C22semidirect
148. #2491C22semidirect
149. #2490C22semidirect
150. #2489C22semidirect
151. #2488C22semidirect
153. #2485C22semidirect
154. #2485C22semidirect
157. #2476C22semidirect
159. #2470C22semidirect
160. #2469C22semidirect
161. #2467C22semidirect
162. #2466C22semidirect
163. #2464C22semidirect
164. #2462C22semidirect
165. #2460C22semidirect
166. #2456C22semidirect
167. #2455C22semidirect
168. #2455C22semidirect
169. #2454C22semidirect
170. #2453C22semidirect
171. #2448C22semidirect
172. #2448C22semidirect
173. #2448C22semidirect
174. #2447C22semidirect
175. #2447C22semidirect
176. #2446C22semidirect
180. #2445C22semidirect
181. #2445C22semidirect
182. #2445C22semidirect
183. #2444C22semidirect
184. #2443C22semidirect
186. #2441C22semidirect
187. #2436C22semidirect
191. #2432C22semidirect
193. #2431C22semidirect
194. #2431C22semidirect
195. #2430C22semidirect
198. #2428C22semidirect
199. #2427C22semidirect
200. #2427C22semidirect
201. #2427C22semidirect
203. #2426C22semidirect
205. #2422C22semidirect
206. #2422C22semidirect
207. #2422C22semidirect
208. #2422C22semidirect
209. #2422C22semidirect
211. #2420C22semidirect
212. #2420C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2406C22semidirect
226. #2406C22semidirect
228. #2395C22semidirect
230. #2388C22semidirect
231. #2367C22semidirect
234. #2365C22semidirect
235. #2365C22semidirect
236. #2363C22semidirect
237. #2363C22semidirect
238. #2363C22semidirect
240. #2361C22semidirect
241. #2359C22semidirect
244. #2353C22semidirect
245. #2351C22semidirect
246. Q8×C4⋊C4C22semidirect
247. #2349C22semidirect
248. D4×C4⋊C4C22semidirect
249. D4×C4⋊C4C22semidirect
251. #2341C22semidirect
252. #2341C22semidirect
253. #2341C22semidirect
254. #2339C22semidirect
255. #2339C22semidirect
259. #2333C22semidirect
260. #2327C22semidirect
262. #2326C22semidirect
263. #2326C22semidirect
264. #2325C22semidirect
267. #2323C22semidirect
268. #2323C22semidirect
270. #2322C22semidirect
272. #2319C22semidirect
273. #2317C22semidirect
275. #2310C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×#127C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
281. C4×#124C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
289. C4×#123C22semidirect
290. C4×#123C22semidirect
292. C4×#121C22semidirect
293. C4×#121C22semidirect
294. C4×#121C22semidirect
296. #2290C22semidirect
298. #2283C22semidirect
299. #2275C22semidirect
300. C4×#117C22semidirect
339. #532D4semidirect
991. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35082
C2×#34802
#598292
#596412
#594162
#594142
#591432
#591242
#590782
#590702
#590672
#590652
#590492
#590392
#450942
#450932
#450042
#448992
#431172
#431142
#398882
#398652
#398472
#383622
#364332
#362162
#355702
#355232
#352492
#351562
#349772
#349092
#342922
#342322
C4×#5362