Finite Group Databasebeta

← #7677778

Subgroups — #7677778

Order 512.

7216 conjugacy classes of subgroups.

The subgroup lattice has 1895 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#59827C211yesmaximal, characteristic, complemented
4#59821C211yesmaximal, characteristic, complemented
5#59653C211yesmaximal, characteristic, complemented
6#59421C211yesmaximal, characteristic, complemented
7#59420C211yesmaximal, characteristic, complemented
8#59413C211yesmaximal, characteristic, complemented
9#59412C211yesmaximal, characteristic, complemented
10#59411C211yesmaximal, characteristic, complemented
11#59148C212yesmaximal, complemented
12#59147C212yesmaximal, complemented
13#59069C212yesmaximal, complemented
14#59068C212yesmaximal, complemented
15#45385C212yesmaximal, complemented
16#45134C212yesmaximal, complemented
17#45010C212yesmaximal, complemented
18#44906C212yesmaximal, complemented
19#43042C214yesmaximal, complemented
20#43039C214yesmaximal, complemented
21#39888C212yesmaximal, complemented
22#39870C214yesmaximal, complemented
23#39864C212yesmaximal, complemented
24#38360C214yesmaximal, complemented
25#36432C212yesmaximal, complemented
26#36216C212yesmaximal, complemented
27#35636C212yesmaximal, complemented
28#35523C212yesmaximal, complemented
29#35247C211yesmaximal, characteristic, complemented
30#35155C212yesmaximal, complemented
31#34976C211yesmaximal, characteristic, complemented
32#34910C211yesmaximal, characteristic, complemented
33#34292C212yesmaximal, complemented
34#34226C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36#3514—216no—
37#3480—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2211yescharacteristic
40C2×#559C2212yescomplemented
41C2×#557C2211yescharacteristic, complemented
42C2×#556C2211yescharacteristic
43C2×#556C2212yescomplemented
44C2×#556C2211yescharacteristic, complemented
45C2×#555C2212yes—
46C2×#553C2214yescomplemented
47C2×#553C2212yescomplemented
48C2×#551C2214yes—
49C2×#550C2211yescharacteristic
50C2×D4×Q8C2211yescharacteristic
51C2×#548C2212yes—
52C2×#548C2212yescomplemented
53C2×#546C2212yes—
54C2×#546C2212yes—
55C2×#546C2212yes—
56C2×D42C2211yescharacteristic
57C2×#542C2212yes—
58C2×#538C2214yes—
59C2×#536C2211yescharacteristic
60C2×#532C2211yescharacteristic
61C2×#532C2212yescomplemented
62C2×#529C2211yescharacteristic
63C2×#529C2212yes—
64C2×#529C2212yescomplemented
65C2×#529C2214yescomplemented
66C22×#124C2212yes—
67C2×#518C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2212yescomplemented
70C2×C4×#41C2212yescomplemented
71C2×C4×#41C2211yescharacteristic, complemented
72C22×C4×Q8C2211yescharacteristic, complemented
73#2855C2214yescomplemented
74#2855C2212yescomplemented
75#2854C2212yes—
76#2853C2214yescomplemented
77#2727C2214yescomplemented
78#2725C2214yescomplemented
79#2724C2214yescomplemented
80#2715C2214yescomplemented
81#2712C2214yescomplemented
82#2710C2214yescomplemented
83#2706C2214yescomplemented
84#2704C2214yescomplemented
85#2702C2214yescomplemented
86#2701C2214yescomplemented
87#2700C2214yescomplemented
88#2699C2214yescomplemented
89#2697C2214yes—
90#2695C2214yescomplemented
91#2688C2214yescomplemented
92#2686C2214yescomplemented
93#2686C2214yescomplemented
94#2682C2214yescomplemented
95#2680C2214yescomplemented
96#2678C2214yes—
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2672C2214yescomplemented
100#2671C2214yescomplemented
101#2638C2214yescomplemented
102#2637C2214yescomplemented
103#2630C2214yescomplemented
104#2609C2214yescomplemented
105#2602C2212yescomplemented
106#2602C2212yescomplemented
107#2602C2214yescomplemented
108#2601C2212yescomplemented
109#2601C2212yescomplemented
110#2600C2214yescomplemented
111#2592C2212yes—
112#2584C2212yescomplemented
113#2582C2211yescharacteristic, complemented
114#2582C2211yescharacteristic, complemented
115#2582C2211yescharacteristic, complemented
116#2566C2211yescharacteristic, complemented
117#2565C2211yescharacteristic, complemented
118#2564C2214yescomplemented
119#2560C2214yescomplemented
120#2557C2214yescomplemented
121#2556C2214yescomplemented
122#2553C2214yescomplemented
123#2550C2212yescomplemented
124#2548C2212yes—
125#2547C2212yescomplemented
126#2547C2212yescomplemented
127#2545C2212yes—
128#2545C2211yescharacteristic
129#2544C2211yescharacteristic
130#2544C2212yescomplemented
131#2542C2212yescomplemented
132#2538C2211yescharacteristic
133#2538C2211yescharacteristic
134#2538C2211yescharacteristic
135#2538C2211yescharacteristic, complemented
136#2537C2211yescharacteristic
137#2535C2212yes—
138#2534C2214yes—
139#2534C2214yescomplemented
140#2521C2214yescomplemented
141#2519C2214yescomplemented
142#2512C2214yescomplemented
143#2500C2211yescharacteristic
144#2499C2214yescomplemented
145#2499C2211yescharacteristic, complemented
146#2498C2214yescomplemented
147#2496C2214yescomplemented
148#2492C2212yescomplemented
149#2489C2212yescomplemented
150#2486C2214yescomplemented
151#2486C2212yescomplemented
152#2485C2212yescomplemented
153#2485C2212yescomplemented
154#2485C2214yescomplemented
155#2482C2214yescomplemented
156#2480C2214yescomplemented
157#2480C2214yescomplemented
158#2478C2214yescomplemented
159#2478C2214yescomplemented
160#2474C2214yescomplemented
161#2474C2214yescomplemented
162#2472C2214yescomplemented
163#2466C2214yescomplemented
164#2466C2214yescomplemented
165#2459C2214yescomplemented
166#2455C2214yescomplemented
167#2454C2212yes—
168#2451C2212yescomplemented
169#2448C2212yes—
170#2448C2212yes—
171#2448C2212yescomplemented
172#2447C2212yescomplemented
173#2447C2212yescomplemented
174#2447C2214yescomplemented
175#2447C2214yescomplemented
176#2447C2212yescomplemented
177#2447C2212yescomplemented
178#2447C2212yescomplemented
179#2446C2212yescomplemented
180#2445C2212yescomplemented
181#2444C2214yescomplemented
182#2443C2214yescomplemented
183#2441C2212yescomplemented
184#2439C2212yescomplemented
185#2438C2214yescomplemented
186#2437C2214yescomplemented
187#2436C2212yescomplemented
188#2435C2212yes—
189#2435C2212yes—
190#2434C2212yescomplemented
191#2433C2212yes—
192#2432C2212yescomplemented
193#2432C2211yescharacteristic, complemented
194#2431C2211yescharacteristic
195#2429C2212yescomplemented
196#2429C2212yescomplemented
197#2428C2212yes—
198#2427C2212yes—
199#2427C2212yes—
200#2427C2212yes—
201#2427C2212yescomplemented
202#2426C2212yescomplemented
203#2425C2214yescomplemented
204#2424C2214yes—
205#2423C2212yescomplemented
206#2422C2212yes—
207#2422C2212yescomplemented
208#2422C2214yescomplemented
209#2421C2212yescomplemented
210#2420C2212yes—
211#2420C2212yes—
212#2420C2214yescomplemented
213#2418C2214yescomplemented
214#2418C2214yescomplemented
215#2418C2214yescomplemented
216#2415C2212yescomplemented
217#2415C2212yescomplemented
218#2413C2214yescomplemented
219#2413C2214yescomplemented
220#2412C2214yescomplemented
221#2409C2212yescomplemented
222#2408C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yescomplemented
226#2392C2214yescomplemented
227#2392C2212yescomplemented
228#2392C2212yescomplemented
229#2367C2212yes—
230#2367C2212yescomplemented
231#2367C2212yescomplemented
232#2363C2212yes—
233#2363C2212yescomplemented
234#2363C2212yescomplemented
235#2362C2212yescomplemented
236#2361C2214yescomplemented
237#2359C2214yescomplemented
238#2358C2214yescomplemented
239#2357C2212yescomplemented
240#2354C2212yescomplemented
241#2351C2212yescomplemented
242Q8×C4⋊C4C2212yescomplemented
243#2349C2212yescomplemented
244#2349C2212yescomplemented
245D4×C4⋊C4C2212yescomplemented
246D4×C4⋊C4C2212yescomplemented
247#2342C2214yescomplemented
248#2341C2212yescomplemented
249Q8×C22⋊C4C2212yescomplemented
250Q8×C22⋊C4C2212yescomplemented
251#2339C2212yescomplemented
252#2339C2212yescomplemented
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256#2327C2211yescharacteristic, complemented
257#2327C2211yescharacteristic, complemented
258#2326C2211yescharacteristic
259#2326C2211yescharacteristic
260#2325C2214yescomplemented
261#2324C2212yescomplemented
262#2324C2212yescomplemented
263#2323C2212yescomplemented
264#2323C2212yescomplemented
265#2323C2212yescomplemented
266#2323C2212yescomplemented
267#2322C2212yescomplemented
268#2322C2212yescomplemented
269#2321C2214yescomplemented
270#2319C2212yescomplemented
271#2317C2211yescharacteristic, complemented
272#2311C2211yescharacteristic
273#2310C2211yescharacteristic, complemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic, complemented
286C4×C22⋊Q8C2212yescomplemented
287C4×C22⋊Q8C2212yescomplemented
288C4×C22⋊Q8C2212yescomplemented
289C4×C22⋊Q8C2212yescomplemented
290C4×#123C2212yescomplemented
291C4×#123C2212yescomplemented
292C4×#123C2214yescomplemented
293C4×#121C2212yes—
294C4×#121C2212yescomplemented
295#2290C2212yescomplemented
296#2290C2212yescomplemented
297C2×#388C2214yescomplemented
298#2285C2211yescharacteristic, complemented
299#2275C2212yescomplemented
300C4×#117C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C23×Q8C2311yescharacteristic
306C23×Q8C2312yes—
307C23×D4C2312yes—
308C23×D4C2312yes—
309#559—28no—
310#559—28no—
311#559—216no—
312#557—28no—
313#556—28no—
314#556—28no—
315#556—216no—
316#555—216no—
317#553—216no—
318#553—232no—
319#551—232no—
320#550—28no—
321D4×Q8—28no—
322#548—216no—
323#548—216no—
324#546—216no—
325#546—216no—
326#546—216no—
327D42—28no—
328#542—216no—
329#538—232no—
330#536—28no—
331#532—216no—
332#532D4116yescomplemented
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×#127C2312yes—
340C2×#127C2311yescharacteristic
341C2×#127C2311yescharacteristic
342#529—216no—
343#529—232no—
344#529—216no—
345#529—28no—
346C2×#126C2314yes—
347C2×#126C2312yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#125C2314yes—
355C2×#124—216no—
356C2×#124C2311yescharacteristic
357C2×#124C2311yescharacteristic
358C2×#124C2314yes—
359C2×#124C2312yes—
360C2×#124C2312yes—
361C2×#124C2314yes—
362C2×#124C2314yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2314yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2311yescharacteristic
370C2×#124C2312yes—
371C2×#124C2311yescharacteristic
372C2×#123C2312yes—
373C2×#123C2312yes—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×#121C2314yes—
398C2×#121C2311yescharacteristic
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×#120C2314yes—
415#518—216no—
416C4×#41—216no—
417C4×#41—216no—
418C4×#41—28no—
419C4×#41—28no—
420C2×C4×Q8—28no—
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2314yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2314yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×#117C2311yescharacteristic
473C2×#117C2311yescharacteristic
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2314yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2311yescharacteristic
481C2×#117C2314yes—
482C2×#117C2314yes—
483C2×#117C2311yescharacteristic
484C2×#117C2312yes—
485C22×C4⋊C4C2311yescharacteristic
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2314yes—
488C22×C22⋊C4C2314yes—
489C22×C22⋊C4C2314yes—
490C22×C22⋊C4C2314yes—
491C22×C22⋊C4C2314yes—
492C22×C22⋊C4C2314yes—
493C22×C42C2314yes—
494C22×C42C2312yes—
495C22×C42C2312yes—
496C22×C42C2312yes—
497C22×C42C2311yescharacteristic
498#400C2314yes—
499#400C2314yes—
500#399C2314yes—
501#399C2314yes—
502#399C2314yes—
503#399C2314yes—
504#398C2314yes—
505#398C2312yes—
506#398C2312yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2312yes—
517#397C2312yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#396C2312yes—
533#396C2312yes—
534#396C2312yes—
535#396C2312yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#395C2314yes—
545#395C2314yes—
546#395C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2312yes—
551#394C2312yes—
552#394C2312yes—
553#394C2312yes—
554#394C2312yes—
555#394C2312yes—
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#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#392C2314yes—
573#392C2312yes—
574#392C2312yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#391C2314yes—
579#391C2311yescharacteristic
580#391C2311yescharacteristic
581#391C2311yescharacteristic
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2312yes—
585#391C2312yes—
586#391C2311yescharacteristic
587#391C2311yescharacteristic
588#391C2312yes—
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2311yescharacteristic
599#391C2314yes—
600#391C2314yes—
601#391C2314yes—
602#390C2314yes—
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2312yes—
606#390C2311yescharacteristic
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#390C2311yescharacteristic
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2312yes—
620#390C2312yes—
621#390C2311yescharacteristic
622#390C2312yes—
623#390C2314yes—
624#390C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2314yes—
640#389C2314yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2314yes—
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#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2314yes—
686#388C2312yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#387C2314yes—
693#387C2312yes—
694#387C2314yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2314yes—
702#387C2312yes—
703#387C2312yes—
704#387C2312yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2312yes—
709#387C2314yes—
710#387C2312yes—
711#387C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
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#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2314yes—
735#385C2312yes—
736#385C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2312yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#384C2311yescharacteristic
761#384C2311yescharacteristic
762#384C2311yescharacteristic
763#384C2311yescharacteristic
764#384C2311yescharacteristic
765#384C2311yescharacteristic
766#384C2314yes—
767#382C2311yescharacteristic
768#382C2311yescharacteristic
769#382C2311yescharacteristic
770#382C2311yescharacteristic
771#382C2312yes—
772#382C2314yes—
773#381C2312yes—
774#381C2312yes—
775#381C2314yes—
776#381C2314yes—
777#381C2314yes—
778#381C2314yes—
779#381C2314yes—
780#381C2314yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2314yes—
795#380C2314yes—
796#380C2314yes—
797#380C2314yes—
798#380C2312yes—
799#379C2314yes—
800#379C2314yes—
801#379C2314yes—
802#379C2314yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2314yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841#376C2311yescharacteristic
842#376C2311yescharacteristic
843C2×#95C2314yes—
844C2×#95C2314yes—
845C43C2311yescharacteristic
846C43C2311yescharacteristic
847C25C2414yes—
848C2×#41—28no—
849C2×#41—28no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—42no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—44no—
859C2×#41C2×D4116yes—
860C22×Q8—24no—
861C22×Q8—28no—
862C22×Q8—24no—
863C22×Q8—42no—
864C22×Q8—44no—
865C22×Q8—44no—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2411yescharacteristic
873C22×Q8C2414yes—
874C22×D4—28no—
875C22×D4—28no—
876C22×D4—28no—
877C22×D4—44no—
878C22×D4—44no—
879C22×D4—44no—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2414yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2414yes—
907C23×C4C2414yes—
908C23×C4C2414yes—
909C23×C4C2414yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2414yes—
914C23×C4C2414yes—
915C23×C4C2411yescharacteristic
916C4⋊Q8—28no—
917C4⋊Q8—24no—
918C4⋊Q8—28no—
919C4⋊Q8—24no—
920C4⋊Q8—42no—
921C4⋊Q8C2×D418yes—
922#127—28no—
923#127—42no—
924#127C2×D418yes—
925#126—216no—
926#126—216no—
927#126—216no—
928#126—216no—
929#126—216no—
930#126—28no—
931#125—216no—
932#125—28no—
933#125—24no—
934#124—28no—
935#124—28no—
936#124—28no—
937#124—28no—
938#124—28no—
939#124—216no—
940#124—28no—
941#124—24no—
942#124—216no—
943#124—216no—
944#124—216no—
945#124—24no—
946#124—42no—
947#124—42no—
948#124C2×D4116yes—
949#124#4118yescomplemented
950#123—216no—
951#123—216no—
952#123—28no—
953#123—216no—
954#123—216no—
955#123—216no—
956#123—216no—
957#123—28no—
958#123—28no—
959#123—216no—
960#123—84no—
961#123—84no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—24no—
965C22⋊Q8—216no—
966C22⋊Q8—28no—
967C22⋊Q8—216no—
968C22⋊Q8—28no—
969C22⋊Q8—216no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975#121—28no—
976#121—28no—
977#121—216no—
978#121—216no—
979#121—216no—
980#121—216no—
981#121—216no—
982#121—28no—
983#121—28no—
984#121—24no—
985#121—216no—
986#121—44no—
987#121C2×D4116yes—
988#121C2×D4116yes—
989#120—216no—
990#120—216no—
991#120—216no—
992#120—84no—
993C4×Q8—28no—
994C4×Q8—28no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—24no—
998C4×Q8—28no—
999C4×Q8—24no—
1000C4×Q8—24no—
1001C4×Q8—24no—
1002C4×Q8—28no—
1003C4×Q8—24no—
1004C4×Q8—24no—
1005C4×Q8—24no—
1006C4×Q8—24no—
1007C4×Q8—24no—
1008C4×Q8—44no—
1009C4×Q8—44no—
1010C4×D4—216no—
1011C4×D4—28no—
1012C4×D4—216no—
1013C4×D4—28no—
1014C4×D4—28no—
1015C4×D4—28no—
1016C4×D4—28no—
1017C4×D4—216no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—216no—
1023C4×D4—216no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—216no—
1027C4×D4—216no—
1028C4×D4—24no—
1029C4×D4—24no—
1030C4×D4—24no—
1031C4×D4—24no—
1032C4×D4—24no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—44no—
1036C4×D4—44no—
1037C4×D4—44no—
1038C4×D4—44no—
1039C4×D4—84no—
1040C4×D4—82no—
1041C4×D4—82no—
1042C4×D4C2×D4116yes—
1043C4×D4C2×D4116yes—
1044#117—24no—
1045#117—216no—
1046#117—24no—
1047#117—28no—
1048#117—28no—
1049#117—216no—
1050#117—216no—
1051#117—28no—
1052#117—28no—
1053#117—28no—
1054#117—24no—
1055#117—42no—
1056#117—82no—
1057C2×C4⋊C4—28no—
1058C2×C4⋊C4—24no—
1059C2×C4⋊C4—84no—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C22⋊C4—216no—
1123C2×C22⋊C4—216no—
1124C2×C22⋊C4—216no—
1125C2×C22⋊C4—216no—
1126C2×C22⋊C4—84no—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C42—28no—
1195C2×C42—216no—
1196C2×C42—28no—
1197C2×C42—28no—
1198C2×C42C2×D418yes—
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2414yes—
1203C2×C42C2412yes—
1204C2×C42C2414yes—
1205C2×C42C2412yes—
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2412yes—
1210C2×C42C2412yes—
1211C2×C42C2414yes—
1212C2×C42C2412yes—
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2412yes—
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2414yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2414yes—
1224C2×C42C2414yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2412yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288C24—28no—
1289C24—28no—
1290C24—44no—
1291C24—44no—
1292C24—44no—
1293C24—44no—
1294C24—44no—
1295C24C2512yes—
1296C24C2512yes—
1297C24C2514yes—
1298C24C2511yescharacteristic
1299C24C2512yes—
1300#41—432no—
1301#41—416no—
1302#41—416no—
1303#41—432no—
1304C2×Q8—22no—
1305C2×Q8—24no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—28no—
1311C2×Q8—24no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—22no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—42no—
1324C2×Q8—44no—
1325C2×Q8—44no—
1326C2×Q8—416no—
1327C2×Q8—816no—
1328C2×Q8C22×D418yes—
1329C2×Q8C2×#4114yes—
1330C2×D4—24no—
1331C2×D4—28no—
1332C2×D4—24no—
1333C2×D4—28no—
1334C2×D4—28no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—28no—
1338C2×D4—28no—
1339C2×D4—28no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—28no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—42no—
1355C2×D4—44no—
1356C2×D4—42no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—44no—
1365C2×D4—42no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—432no—
1377C2×D4—816no—
1378C2×D4C22×D418yes—
1379C2×D4C22×D418yes—
1380C2×D4C22×D4116yes—
1381C2×D4C22×D418yes—
1382C2×D4C2×#4114yes—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—28no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—28no—
1392C22×C4—28no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—28no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—28no—
1409C22×C4—28no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—42no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—44no—
1429C22×C4—42no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4C22×D414yes—
1437C22×C4C22×D414yes—
1438C22×C4C22×D4116yes—
1439C22×C4C22×D414yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2514yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2514yes—
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2514yes—
1463C22×C4C2511yescharacteristic
1464C22×C4C2511yescharacteristic
1465C22×C4C2511yescharacteristic
1466C22×C4C2512yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—22no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—28no—
1485C4⋊C4—24no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—28no—
1490C4⋊C4—24no—
1491C4⋊C4—28no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—28no—
1495C4⋊C4—28no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—28no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—41no—
1517C4⋊C4—41no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—42no—
1527C4⋊C4—44no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4C22×D418yes—
1531C4⋊C4C22×D418yes—
1532C22⋊C4—28no—
1533C22⋊C4—28no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—28no—
1537C22⋊C4—28no—
1538C22⋊C4—28no—
1539C22⋊C4—28no—
1540C22⋊C4—28no—
1541C22⋊C4—24no—
1542C22⋊C4—28no—
1543C22⋊C4—28no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—28no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—28no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—28no—
1559C22⋊C4—24no—
1560C22⋊C4—28no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—28no—
1564C22⋊C4—24no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—41no—
1574C22⋊C4—41no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4C22×D4116yes—
1596C22⋊C4C22×D4116yes—
1597C22⋊C4C2×#4118yes—
1598C22⋊C4C2×#4118yes—
1599C42—24no—
1600C42—24no—
1601C42—24no—
1602C42—24no—
1603C42—28no—
1604C42—24no—
1605C42—24no—
1606C42—28no—
1607C42—24no—
1608C42—24no—
1609C42—24no—
1610C42—24no—
1611C42—28no—
1612C42—24no—
1613C42—22no—
1614C42—22no—
1615C42—22no—
1616C42—22no—
1617C42—22no—
1618C42—22no—
1619C42—22no—
1620C42—41no—
1621C42—41no—
1622C42—44no—
1623C42—41no—
1624C42—41no—
1625C42—44no—
1626C42—44no—
1627C42C22×D414yes—
1628C42C22×D414yes—
1629C42C22×D414yes—
1630C42C22×D414yes—
1631C42C2×#4114yes—
1632C23—22no—
1633C23—21no—
1634C23—24no—
1635C23—21no—
1636C23—22no—
1637C23—24no—
1638C23—24no—
1639C23—24no—
1640C23—22no—
1641C23—21no—
1642C23—21no—
1643C23—22no—
1644C23—21no—
1645C23—22no—
1646C23—24no—
1647C23—22no—
1648C23—21no—
1649C23—24no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—416no—
1665C23—88no—
1666C23—88no—
1667C23—88no—
1668C23—88no—
1669C23—164no—
1670C23—164no—
1671C23C23×D418yes—
1672C23C23×D412yes—
1673C23C22×#4114yes—
1674C23C2611yescharacteristic
1675Q8—28no—
1676Q8—216no—
1677Q8—48no—
1678Q8—44no—
1679Q8—44no—
1680Q8—44no—
1681Q8—44no—
1682Q8—88no—
1683D4—28no—
1684D4—216no—
1685D4—216no—
1686D4—48no—
1687D4—416no—
1688D4—416no—
1689D4—416no—
1690D4—48no—
1691D4—48no—
1692D4—44no—
1693D4—44no—
1694D4—84no—
1695D4—88no—
1696D4—84no—
1697D4—88no—
1698D4—88no—
1699D4—84no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—28no—
1717C2×C4—28no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—24no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—24no—
1748C2×C4—24no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—24no—
1763C2×C4—21no—
1764C2×C4—24no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—44no—
1779C2×C4—416no—
1780C2×C4—48no—
1781C2×C4—48no—
1782C2×C4—416no—
1783C2×C4—48no—
1784C2×C4—48no—
1785C2×C4—48no—
1786C2×C4—48no—
1787C2×C4—88no—
1788C2×C4—84no—
1789C2×C4—84no—
1790C2×C4—88no—
1791C2×C4—88no—
1792C2×C4—88no—
1793C2×C4—84no—
1794C2×C4—164no—
1795C2×C4C23×D412yes—
1796C2×C4C23×D412yes—
1797C2×C4C23×D418yes—
1798C2×C4C23×D412yes—
1799C2×C4C23×D412yes—
1800C2×C4C23×D412yes—
1801C2×C4C23×D412yes—
1802C2×C4C22×#4112yes—
1803C2×C4C22×#4112yes—
1804C2×C4C22×#4114yes—
1805C2×C4C22×#4112yes—
1806C2×C4#58512yes—
1807C2×C4#58512yes—
1808C2×C4#58512yes—
1809C22—24no—
1810C22—24no—
1811C22—22no—
1812C22—28no—
1813C22—22no—
1814C22—28no—
1815C22—22no—
1816C22—24no—
1817C22—28no—
1818C22—41no—
1819C22—44no—
1820C22—44no—
1821C22—41no—
1822C22—42no—
1823C22—42no—
1824C22—44no—
1825C22—41no—
1826C22—42no—
1827C22—41no—
1828C22—44no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—1616no—
1845C22C24×D411yescharacteristic
1846C22C23×#4111yescharacteristic
1847C22C2×#58511yescharacteristic
1848C22C2×#58511yescharacteristic
1849C22C2×#58511yescharacteristic
1850C22H(7,𝔽2)11yescharacteristic
1851C222−1+611yescharacteristic
1852C4—22no—
1853C4—22no—
1854C4—22no—
1855C4—28no—
1856C4—22no—
1857C4—22no—
1858C4—22no—
1859C4—24no—
1860C4—41no—
1861C4—41no—
1862C4—44no—
1863C4—42no—
1864C4—42no—
1865C4—42no—
1866C4—42no—
1867C4—42no—
1868C4—42no—
1869C4—42no—
1870C4—42no—
1871C4—42no—
1872C4—42no—
1873C4—42no—
1874C4—42no—
1875C4—44no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4D4×#4114yes—
1881C4#348514yes—
1882C2—42no—
1883C2—48no—
1884C2—44no—
1885C2—82no—
1886C2—82no—
1887C2C2×D4×#4111yescharacteristic
1888C2C2×#348511yescharacteristic
1889C2#6285311yescharacteristic
1890C2#6296611yescharacteristic
1891C2#6296811yescharacteristic
1892C2#6300911yescharacteristic
1893C2#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×#3514C2semidirect
2. C2×#3480C2semidirect
3. #59827C2semidirect
4. #59821C2semidirect
5. #59653C2semidirect
6. #59421C2semidirect
7. #59420C2semidirect
8. #59413C2semidirect
9. #59412C2semidirect
10. #59411C2semidirect
11. #59148C2semidirect
12. #59147C2semidirect
13. #59069C2semidirect
14. #59068C2semidirect
15. #45385C2semidirect
16. #45134C2semidirect
17. #45010C2semidirect
18. #44906C2semidirect
19. #43042C2semidirect
20. #43039C2semidirect
21. #39888C2semidirect
22. #39870C2semidirect
23. #39864C2semidirect
24. #38360C2semidirect
25. #36432C2semidirect
26. #36216C2semidirect
27. #35636C2semidirect
28. #35523C2semidirect
29. #35247C2semidirect
30. #35155C2semidirect
31. #34976C2semidirect
32. #34910C2semidirect
33. #34292C2semidirect
34. #34226C2semidirect
35. C4×#536C2semidirect
40. C2×#559C22semidirect
41. C2×#557C22semidirect
43. C2×#556C22semidirect
44. C2×#556C22semidirect
46. C2×#553C22semidirect
47. C2×#553C22semidirect
52. C2×#548C22semidirect
61. C2×#532C22semidirect
64. C2×#529C22semidirect
65. C2×#529C22semidirect
69. C2×C4×#41C22semidirect
70. C2×C4×#41C22semidirect
71. C2×C4×#41C22semidirect
72. C22×C4×Q8C22semidirect
73. #2855C22semidirect
74. #2855C22semidirect
76. #2853C22semidirect
77. #2727C22semidirect
78. #2725C22semidirect
79. #2724C22semidirect
80. #2715C22semidirect
81. #2712C22semidirect
82. #2710C22semidirect
83. #2706C22semidirect
84. #2704C22semidirect
85. #2702C22semidirect
86. #2701C22semidirect
87. #2700C22semidirect
88. #2699C22semidirect
90. #2695C22semidirect
91. #2688C22semidirect
92. #2686C22semidirect
93. #2686C22semidirect
94. #2682C22semidirect
95. #2680C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2672C22semidirect
100. #2671C22semidirect
101. #2638C22semidirect
102. #2637C22semidirect
103. #2630C22semidirect
104. #2609C22semidirect
105. #2602C22semidirect
106. #2602C22semidirect
107. #2602C22semidirect
108. #2601C22semidirect
109. #2601C22semidirect
110. #2600C22semidirect
112. #2584C22semidirect
113. #2582C22semidirect
114. #2582C22semidirect
115. #2582C22semidirect
116. #2566C22semidirect
117. #2565C22semidirect
118. #2564C22semidirect
119. #2560C22semidirect
120. #2557C22semidirect
121. #2556C22semidirect
122. #2553C22semidirect
123. #2550C22semidirect
125. #2547C22semidirect
126. #2547C22semidirect
130. #2544C22semidirect
131. #2542C22semidirect
135. #2538C22semidirect
139. #2534C22semidirect
140. #2521C22semidirect
141. #2519C22semidirect
142. #2512C22semidirect
144. #2499C22semidirect
145. #2499C22semidirect
146. #2498C22semidirect
147. #2496C22semidirect
148. #2492C22semidirect
149. #2489C22semidirect
150. #2486C22semidirect
151. #2486C22semidirect
152. #2485C22semidirect
153. #2485C22semidirect
154. #2485C22semidirect
155. #2482C22semidirect
156. #2480C22semidirect
157. #2480C22semidirect
158. #2478C22semidirect
159. #2478C22semidirect
160. #2474C22semidirect
161. #2474C22semidirect
162. #2472C22semidirect
163. #2466C22semidirect
164. #2466C22semidirect
165. #2459C22semidirect
166. #2455C22semidirect
168. #2451C22semidirect
171. #2448C22semidirect
172. #2447C22semidirect
173. #2447C22semidirect
174. #2447C22semidirect
175. #2447C22semidirect
176. #2447C22semidirect
177. #2447C22semidirect
178. #2447C22semidirect
179. #2446C22semidirect
180. #2445C22semidirect
181. #2444C22semidirect
182. #2443C22semidirect
183. #2441C22semidirect
184. #2439C22semidirect
185. #2438C22semidirect
186. #2437C22semidirect
187. #2436C22semidirect
190. #2434C22semidirect
192. #2432C22semidirect
193. #2432C22semidirect
195. #2429C22semidirect
196. #2429C22semidirect
201. #2427C22semidirect
202. #2426C22semidirect
203. #2425C22semidirect
205. #2423C22semidirect
207. #2422C22semidirect
208. #2422C22semidirect
209. #2421C22semidirect
212. #2420C22semidirect
213. #2418C22semidirect
214. #2418C22semidirect
215. #2418C22semidirect
216. #2415C22semidirect
217. #2415C22semidirect
218. #2413C22semidirect
219. #2413C22semidirect
220. #2412C22semidirect
221. #2409C22semidirect
225. #2407C22semidirect
226. #2392C22semidirect
227. #2392C22semidirect
228. #2392C22semidirect
230. #2367C22semidirect
231. #2367C22semidirect
233. #2363C22semidirect
234. #2363C22semidirect
235. #2362C22semidirect
236. #2361C22semidirect
237. #2359C22semidirect
238. #2358C22semidirect
239. #2357C22semidirect
240. #2354C22semidirect
241. #2351C22semidirect
242. Q8×C4⋊C4C22semidirect
243. #2349C22semidirect
244. #2349C22semidirect
245. D4×C4⋊C4C22semidirect
246. D4×C4⋊C4C22semidirect
247. #2342C22semidirect
248. #2341C22semidirect
249. Q8×C22⋊C4C22semidirect
250. Q8×C22⋊C4C22semidirect
251. #2339C22semidirect
252. #2339C22semidirect
256. #2327C22semidirect
257. #2327C22semidirect
260. #2325C22semidirect
261. #2324C22semidirect
262. #2324C22semidirect
263. #2323C22semidirect
264. #2323C22semidirect
265. #2323C22semidirect
266. #2323C22semidirect
267. #2322C22semidirect
268. #2322C22semidirect
269. #2321C22semidirect
270. #2319C22semidirect
271. #2317C22semidirect
273. #2310C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×C4⋊Q8C22semidirect
285. C4×#124C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×#123C22semidirect
291. C4×#123C22semidirect
292. C4×#123C22semidirect
294. C4×#121C22semidirect
295. #2290C22semidirect
296. #2290C22semidirect
297. C2×#388C22semidirect
298. #2285C22semidirect
299. #2275C22semidirect
300. C4×#117C22semidirect
332. #532D4semidirect
949. #124#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34802
#598272
#598212
#596532
#594212
#594202
#594132
#594122
#594112
#591482
#591472
#590692
#590682
#453852
#451342
#450102
#449062
#430422
#430392
#398882
#398702
#398642
#383602
#364322
#362162
#356362
#355232
#352472
#351552
#349762
#349102
#342922
#342262
C4×#5362