Finite Group Databasebeta

← #7647670

Subgroups — #7647670

Order 512.

6641 conjugacy classes of subgroups.

The subgroup lattice has 1926 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3475C211yesmaximal, characteristic
2C2×#3458C211yesmaximal, characteristic, complemented
3#42644C212yesmaximal, complemented
4#42437C212yesmaximal, complemented
5#42436C212yesmaximal, complemented
6#42423C212yesmaximal, complemented
7#40511C214yesmaximal, complemented
8#40487C214yesmaximal, complemented
9#39891C212yesmaximal, complemented
10#39890C212yesmaximal, complemented
11#39867C212yesmaximal, complemented
12#39866C212yesmaximal, complemented
13#38371C214yesmaximal, complemented
14#38370C214yesmaximal, complemented
15#37633C212yesmaximal, complemented
16#37560C212yesmaximal, complemented
17#37281C212yesmaximal, complemented
18#37281C212yesmaximal, complemented
19#37279C212yesmaximal, complemented
20#37279C212yesmaximal, complemented
21#35566C211yesmaximal, characteristic, complemented
22#35566C211yesmaximal, characteristic, complemented
23#35542C211yesmaximal, characteristic, complemented
24#35542C211yesmaximal, characteristic, complemented
25#35297C212yesmaximal, complemented
26#35263C211yesmaximal, characteristic, complemented
27#35257C211yesmaximal, characteristic, complemented
28#35257C211yesmaximal, characteristic, complemented
29#35253C211yesmaximal, characteristic, complemented
30#35253C211yesmaximal, characteristic, complemented
31#35200C212yesmaximal, complemented
32#35157C211yesmaximal, characteristic, complemented
33#34809C211yesmaximal, characteristic, complemented
34C2×#2485C211yesmaximal, characteristic, complemented
35#34180C211yesmaximal, characteristic, complemented
36#3475—216no—
37C2×#556C2211yescharacteristic
38C2×#555C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#553C2211yescharacteristic
41C2×#553C2211yescharacteristic
42C2×#552C2211yescharacteristic
43C2×#552C2211yescharacteristic
44C2×#552C2212yes—
45C2×#551C2212yes—
46C2×#551C2212yes—
47C2×#547C2211yescharacteristic
48C2×#546C2212yes—
49#3458—216no—
50C2×#544C2211yescharacteristic
51C2×#544C2211yescharacteristic
52C2×#544C2211yescharacteristic
53C2×#544C2211yescharacteristic
54C2×#544C2212yescomplemented
55C2×#544C2212yescomplemented
56C2×#544C2212yescomplemented
57C2×#544C2212yescomplemented
58C2×#543C2214yes—
59C2×#533C2214yes—
60C2×#533C2211yescharacteristic
61C2×#533C2212yescomplemented
62C2×#533C2212yescomplemented
63C2×#533C2212yescomplemented
64C2×#533C2212yescomplemented
65C2×#529C2212yes—
66C2×#529C2212yes—
67C2×#529C2212yes—
68C2×#525C2211yescharacteristic
69C2×#525C2211yescharacteristic
70C2×C4×#41C2212yes—
71C2×C4×#41C2211yescharacteristic
72C22×C4×D4C2211yescharacteristic
73C22×#117C2211yescharacteristic
74C22×#117C2211yescharacteristic
75C22×#117C2211yescharacteristic
76C22×#117C2211yescharacteristic
77#2857C2212yescomplemented
78#2857C2212yescomplemented
79#2857C2212yescomplemented
80#2857C2212yescomplemented
81#2855C2212yescomplemented
82#2854C2212yescomplemented
83#2853C2214yes—
84#2851C2212yescomplemented
85#2851C2212yescomplemented
86#2851C2212yescomplemented
87#2851C2212yescomplemented
88#2817C2214yescomplemented
89#2816C2214yes—
90#2814C2214yes—
91#2814C2214yescomplemented
92#2721C2214yescomplemented
93#2721C2214yescomplemented
94#2719C2214yescomplemented
95#2719C2214yescomplemented
96#2716C2214yescomplemented
97#2716C2214yescomplemented
98#2713C2214yescomplemented
99#2713C2214yescomplemented
100#2700C2214yes—
101#2700C2214yescomplemented
102#2698C2214yescomplemented
103#2698C2214yescomplemented
104#2694C2214yescomplemented
105#2694C2214yescomplemented
106#2690C2214yescomplemented
107#2690C2214yescomplemented
108#2689C2214yescomplemented
109#2689C2214yescomplemented
110#2687C2214yes—
111#2687C2214yescomplemented
112#2681C2214yes—
113#2681C2214yes—
114#2680C2214yes—
115#2680C2214yescomplemented
116#2677C2214yescomplemented
117#2677C2214yescomplemented
118#2674C2214yes—
119#2674C2214yescomplemented
120#2674C2214yescomplemented
121#2674C2214yescomplemented
122#2672C2214yes—
123#2672C2214yes—
124#2663C2214yes—
125#2663C2214yescomplemented
126#2638C2214yes—
127#2638C2214yescomplemented
128#2637C2214yescomplemented
129#2637C2214yescomplemented
130#2634C2214yescomplemented
131#2632C2214yescomplemented
132#2629C2212yescomplemented
133#2629C2212yescomplemented
134#2629C2212yescomplemented
135#2629C2212yescomplemented
136#2628C2212yescomplemented
137#2628C2212yescomplemented
138#2628C2212yescomplemented
139#2628C2212yescomplemented
140#2625C2214yescomplemented
141#2625C2212yescomplemented
142#2624C2212yescomplemented
143#2622C2214yes—
144#2621C2214yescomplemented
145#2620C2214yes—
146#2616C2214yes—
147#2604C2214yescomplemented
148#2604C2214yescomplemented
149#2599C2214yescomplemented
150#2599C2214yescomplemented
151#2584C2212yescomplemented
152#2584C2212yescomplemented
153#2584C2212yescomplemented
154#2584C2212yescomplemented
155#2581C2214yescomplemented
156#2567C2212yescomplemented
157#2567C2212yescomplemented
158#2565C2214yescomplemented
159#2563C2212yescomplemented
160#2563C2212yescomplemented
161#2562C2212yescomplemented
162#2562C2212yescomplemented
163#2562C2212yescomplemented
164#2562C2212yescomplemented
165#2552C2212yescomplemented
166#2552C2212yescomplemented
167#2551C2212yescomplemented
168#2551C2212yescomplemented
169#2550C2212yescomplemented
170#2550C2212yescomplemented
171#2550C2212yescomplemented
172#2550C2212yescomplemented
173#2549C2214yes—
174#2549C2214yes—
175#2547C2212yescomplemented
176#2547C2212yescomplemented
177#2546C2212yescomplemented
178#2546C2212yescomplemented
179#2545C2214yescomplemented
180#2536C2214yescomplemented
181#2500C2212yescomplemented
182#2500C2212yescomplemented
183#2499C2214yescomplemented
184#2499C2212yescomplemented
185#2499C2212yescomplemented
186#2498C2214yes—
187#2492C2212yescomplemented
188#2492C2212yescomplemented
189#2491C2212yescomplemented
190#2491C2212yescomplemented
191#2490C2212yescomplemented
192#2490C2212yescomplemented
193#2489C2212yescomplemented
194#2489C2212yescomplemented
195#2488C2214yes—
196#2488C2214yes—
197#2487C2211yescharacteristic
198#2487C2211yescharacteristic
199#2487C2212yescomplemented
200#2486C2211yescharacteristic
201#2486C2211yescharacteristic
202#2486C2212yescomplemented
203#2485C2211yescharacteristic
204#2485C2212yes—
205#2485C2211yescharacteristic
206#2485C2212yes—
207#2485C2212yes—
208#2485C2212yes—
209#2485C2212yes—
210#2485C2212yes—
211#2485C2211yescharacteristic
212#2485C2212yes—
213#2485C2212yes—
214#2485C2211yescharacteristic
215#2485C2212yescomplemented
216#2485C2212yescomplemented
217#2485C2212yescomplemented
218#2485C2212yescomplemented
219#2485C2212yescomplemented
220#2485C2212yescomplemented
221#2484C2212yes—
222#2483C2212yes—
223#2482C2212yes—
224#2472C2214yes—
225#2472C2214yes—
226#2454C2212yescomplemented
227#2454C2212yescomplemented
228#2453C2212yescomplemented
229#2453C2212yescomplemented
230#2452C2212yescomplemented
231#2452C2212yescomplemented
232#2451C2212yescomplemented
233#2451C2212yescomplemented
234#2450C2214yes—
235#2450C2214yes—
236#2449C2214yes—
237#2449C2214yes—
238#2442C2212yescomplemented
239#2442C2212yescomplemented
240#2441C2212yescomplemented
241#2441C2212yescomplemented
242#2440C2214yes—
243#2440C2214yes—
244#2440C2212yescomplemented
245#2440C2212yescomplemented
246#2439C2212yescomplemented
247#2439C2212yescomplemented
248#2438C2214yes—
249#2438C2214yes—
250#2437C2214yes—
251#2437C2214yes—
252#2432C2214yes—
253#2415C2214yes—
254#2415C2214yescomplemented
255#2412C2214yes—
256#2405C2212yes—
257#2395C2212yes—
258#2395C2212yes—
259C2×#397C2212yes—
260C2×#394C2212yes—
261#2347C2212yescomplemented
262#2346C2212yescomplemented
263#2345C2212yescomplemented
264#2344C2212yescomplemented
265#2343C2214yes—
266#2342C2214yes—
267#2327C2214yescomplemented
268#2326C2214yescomplemented
269#2323C2214yescomplemented
270#2323C2214yescomplemented
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2317C2211yescharacteristic
275#2316C2211yescharacteristic
276#2316C2211yescharacteristic
277#2314C2212yescomplemented
278#2314C2212yescomplemented
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282#2311C2211yescharacteristic
283C4×#123C2212yes—
284C4×#123C2212yes—
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#388C2212yes—
290C2×#387C2212yes—
291#2285C2212yescomplemented
292#2283C2212yescomplemented
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297C2×#380C2211yescharacteristic
298C2×#380C2211yescharacteristic
299#2274C2211yescharacteristic
300#2274C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2311yescharacteristic
305C24×C4C2311yescharacteristic
306#556—28no—
307#555—28no—
308#554—28no—
309#553—28no—
310#553—28no—
311#552—216no—
312#552—28no—
313#552—28no—
314#551—216no—
315#551—216no—
316#547—28no—
317#546—216no—
318#544—28no—
319#544—28no—
320#544—28no—
321#544—28no—
322#544—216no—
323#544—216no—
324#544—216no—
325#544—216no—
326#543—232no—
327#533—232no—
328#533—28no—
329#533—216no—
330#533—216no—
331#533—216no—
332#533—216no—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2314yes—
347#529—216no—
348#529—216no—
349#529—216no—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2311yescharacteristic
366C2×#125C2311yescharacteristic
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2314yes—
375C2×#124C2314yes—
376#525—28no—
377#525—28no—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×#121C2312yes—
415C2×#121C2311yescharacteristic
416C2×#121C2311yescharacteristic
417C2×#121C2311yescharacteristic
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#120C2312yes—
422C2×#120C2312yes—
423C4×#41—28no—
424C4×#41—216no—
425C2×C4×Q8C2314yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2314yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2314yes—
431C2×C4×Q8C2314yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2311yescharacteristic
434C2×C4×D4—28no—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×#117—28no—
455C2×#117—28no—
456C2×#117—28no—
457C2×#117D4116yes—
458C2×#117C2311yescharacteristic
459C2×#117C2311yescharacteristic
460C2×#117C2311yescharacteristic
461C2×#117C2311yescharacteristic
462C2×#117C2311yescharacteristic
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2311yescharacteristic
472C2×#117C2311yescharacteristic
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2311yescharacteristic
478C2×#117C2311yescharacteristic
479C2×#117C2314yes—
480C2×#117C2312yes—
481C2×#117C2311yescharacteristic
482C2×#117C2312yes—
483C2×#117C2311yescharacteristic
484C2×#117C2311yescharacteristic
485C2×#117C2311yescharacteristic
486C22×C4⋊C4C2311yescharacteristic
487C22×C4⋊C4C2311yescharacteristic
488C22×C4⋊C4C2311yescharacteristic
489C22×C4⋊C4C2311yescharacteristic
490C22×C4⋊C4C2311yescharacteristic
491C22×C4⋊C4C2311yescharacteristic
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2311yescharacteristic
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2311yescharacteristic
498C22×C4⋊C4C2311yescharacteristic
499C22×C22⋊C4C2312yes—
500C22×C22⋊C4C2311yescharacteristic
501C22×C22⋊C4C2312yes—
502C22×C22⋊C4C2312yes—
503C22×C22⋊C4C2311yescharacteristic
504C22×C22⋊C4C2312yes—
505C22×C22⋊C4C2312yes—
506C22×C22⋊C4C2312yes—
507C22×C22⋊C4C2312yes—
508C22×C42C2312yes—
509C22×C42C2312yes—
510C22×C42C2312yes—
511C22×C42C2312yes—
512C22×C42C2311yescharacteristic
513C22×C42C2312yes—
514#400C2314yes—
515#400C2314yes—
516#400C2314yes—
517#400C2314yes—
518#400C2314yes—
519#400C2314yes—
520#400C2314yes—
521#400C2314yes—
522#400C2314yes—
523#400C2312yes—
524#400C2312yes—
525#399C2314yes—
526#399C2314yes—
527#399C2314yes—
528#399C2314yes—
529#399C2314yes—
530#399C2312yes—
531#399C2312yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2312yes—
550#398C2312yes—
551#397C2312yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2312yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2312yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2312yes—
568#397C2314yes—
569#397C2314yes—
570#397C2312yes—
571#397C2312yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#395C2314yes—
581#395C2314yes—
582#395C2314yes—
583#395C2314yes—
584#395C2314yes—
585#395C2314yes—
586#395C2314yes—
587#395C2314yes—
588#395C2314yes—
589#395C2314yes—
590#395C2314yes—
591#395C2314yes—
592#394C2312yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2312yes—
601#394C2314yes—
602#394C2314yes—
603#394C2312yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2312yes—
608#394C2314yes—
609#394C2314yes—
610#393C2314yes—
611#393C2314yes—
612#393C2314yes—
613#393C2314yes—
614#393C2314yes—
615#393C2314yes—
616#393C2314yes—
617#393C2314yes—
618#391C2314yes—
619#391C2314yes—
620#391C2312yes—
621#391C2312yes—
622#391C2312yes—
623#391C2312yes—
624#391C2314yes—
625#391C2314yes—
626#391C2314yes—
627#391C2314yes—
628#391C2314yes—
629#391C2314yes—
630#391C2314yes—
631#391C2314yes—
632#390C2314yes—
633#390C2314yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2314yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2314yes—
664#389C2314yes—
665#389C2314yes—
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2311yescharacteristic
670#389C2312yes—
671#389C2314yes—
672#389C2314yes—
673#389C2314yes—
674#389C2314yes—
675#389C2312yes—
676#389C2311yescharacteristic
677#389C2311yescharacteristic
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2312yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2312yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2312yes—
704#388C2314yes—
705#388C2312yes—
706#388C2314yes—
707#388C2314yes—
708#387C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2312yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2312yes—
732#387C2314yes—
733#387C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2312yes—
740#386C2312yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#384C2314yes—
761#384C2314yes—
762#384C2312yes—
763#384C2312yes—
764#384C2312yes—
765#384C2312yes—
766#383C2314yes—
767#382C2314yes—
768#382C2314yes—
769#382C2312yes—
770#382C2312yes—
771#382C2312yes—
772#382C2312yes—
773#382C2314yes—
774#381C2314yes—
775#381C2312yes—
776#381C2314yes—
777#381C2312yes—
778#381C2312yes—
779#381C2312yes—
780#381C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2311yescharacteristic
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2311yescharacteristic
796#380C2311yescharacteristic
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2314yes—
803#380C2314yes—
804#380C2314yes—
805#380C2314yes—
806#380C2311yescharacteristic
807#380C2314yes—
808#380C2312yes—
809#380C2312yes—
810#380C2314yes—
811#380C2314yes—
812#380C2311yescharacteristic
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2311yescharacteristic
819#380C2311yescharacteristic
820#379C2312yes—
821#379C2312yes—
822#379C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845#376C2314yes—
846C2×#95C2312yes—
847C2×#95C2312yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C25C2411yescharacteristic
852C25C2411yescharacteristic
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—44no—
858C2×#41—44no—
859C22×Q8C2411yescharacteristic
860C22×Q8C2412yes—
861C22×Q8C2414yes—
862C22×Q8C2414yes—
863C22×Q8C2412yes—
864C22×Q8C2414yes—
865C22×Q8C2414yes—
866C22×D4—24no—
867C22×D4—42no—
868C22×D4—42no—
869C22×D4C2411yescharacteristic
870C22×D4C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C23×C4—24no—
880C23×C4—24no—
881C23×C4—24no—
882C23×C4—24no—
883C23×C4—24no—
884C23×C4C2×D418yes—
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C4⋊Q8—28no—
912C4⋊Q8—28no—
913C4⋊Q8—28no—
914C4⋊Q8—28no—
915C4⋊Q8—216no—
916C4⋊Q8—216no—
917C4⋊Q8—24no—
918C4⋊Q8—24no—
919C4⋊Q8—28no—
920C4⋊Q8—28no—
921C4⋊Q8—28no—
922C4⋊Q8—28no—
923C4⋊Q8—48no—
924C4⋊Q8—84no—
925#126—28no—
926#126—28no—
927#126—28no—
928#126—28no—
929#126—28no—
930#126—28no—
931#125—28no—
932#125—28no—
933#125—28no—
934#125—28no—
935#125—28no—
936#125—28no—
937#125—216no—
938#125—216no—
939#125—24no—
940#125—24no—
941#125—28no—
942#125—28no—
943#125—28no—
944#125—28no—
945#125—28no—
946#124—28no—
947#124—28no—
948#124—28no—
949#124—48no—
950#124—84no—
951#123—28no—
952#123—28no—
953#123—28no—
954#123—28no—
955#123—28no—
956#123—28no—
957#123—28no—
958#123—28no—
959#123—44no—
960#123—44no—
961#123—84no—
962C22⋊Q8—24no—
963C22⋊Q8—24no—
964C22⋊Q8—28no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—216no—
968C22⋊Q8—216no—
969C22⋊Q8—24no—
970C22⋊Q8—24no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—216no—
974C22⋊Q8—216no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—216no—
979C22⋊Q8—216no—
980C22⋊Q8—216no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—48no—
984C22⋊Q8—48no—
985C22⋊Q8—84no—
986C22⋊Q8—84no—
987#121—24no—
988#121—24no—
989#121—28no—
990#121—24no—
991#121—24no—
992#121—28no—
993#121—28no—
994#120—28no—
995#120—28no—
996C4×Q8—24no—
997C4×Q8—24no—
998C4×Q8—28no—
999C4×Q8—28no—
1000C4×Q8—28no—
1001C4×Q8—216no—
1002C4×Q8—216no—
1003C4×Q8—216no—
1004C4×Q8—216no—
1005C4×D4—24no—
1006C4×D4—24no—
1007C4×D4—24no—
1008C4×D4—24no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—24no—
1012C4×D4—24no—
1013C4×D4—28no—
1014C4×D4—28no—
1015C4×D4—28no—
1016C4×D4—28no—
1017C4×D4—24no—
1018C4×D4—24no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—28no—
1024#117—24no—
1025#117—28no—
1026#117—28no—
1027#117—28no—
1028#117—24no—
1029#117—24no—
1030#117—28no—
1031#117—28no—
1032#117—28no—
1033#117—24no—
1034#117—24no—
1035#117—28no—
1036#117—24no—
1037#117—24no—
1038#117—24no—
1039#117—24no—
1040#117—28no—
1041#117—28no—
1042#117—28no—
1043#117—28no—
1044#117—28no—
1045#117—84no—
1046#117C2×D418yes—
1047#117C2×D418yes—
1048#117C2×D4116yes—
1049#117C2×D4116yes—
1050#117C2×D418yes—
1051#117C2×D418yes—
1052C2×C4⋊C4—24no—
1053C2×C4⋊C4—24no—
1054C2×C4⋊C4—24no—
1055C2×C4⋊C4—24no—
1056C2×C4⋊C4—24no—
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4—24no—
1059C2×C4⋊C4—24no—
1060C2×C4⋊C4—24no—
1061C2×C4⋊C4—44no—
1062C2×C4⋊C4—82no—
1063C2×C4⋊C4C2×D418yes—
1064C2×C4⋊C4C2×D418yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C22⋊C4—28no—
1146C2×C22⋊C4—28no—
1147C2×C22⋊C4—24no—
1148C2×C22⋊C4—24no—
1149C2×C22⋊C4—28no—
1150C2×C22⋊C4—44no—
1151C2×C22⋊C4—82no—
1152C2×C22⋊C4—82no—
1153C2×C22⋊C4C2×D4116yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C42—28no—
1214C2×C42—28no—
1215C2×C42—24no—
1216C2×C42—28no—
1217C2×C42—28no—
1218C2×C42C2×D4116yes—
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2412yes—
1222C2×C42C2412yes—
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2414yes—
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2414yes—
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2412yes—
1235C2×C42C2411yescharacteristic
1236C2×C42C2414yes—
1237C2×C42C2414yes—
1238C2×C42C2414yes—
1239C2×C42C2414yes—
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298C24—22no—
1299C24—22no—
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—22no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—41no—
1308C24—41no—
1309C24—41no—
1310C24—41no—
1311C24C22×D414yes—
1312C24C2511yescharacteristic
1313C24C2512yes—
1314C24C2511yescharacteristic
1315C24C2511yescharacteristic
1316C24C2511yescharacteristic
1317C24C2511yescharacteristic
1318#41—432no—
1319#41—416no—
1320C2×Q8—22no—
1321C2×Q8—24no—
1322C2×Q8—24no—
1323C2×Q8—28no—
1324C2×Q8—28no—
1325C2×Q8—28no—
1326C2×Q8—28no—
1327C2×Q8—22no—
1328C2×Q8—22no—
1329C2×Q8—24no—
1330C2×Q8—42no—
1331C2×Q8—44no—
1332C2×Q8—44no—
1333C2×Q8—44no—
1334C2×Q8—44no—
1335C2×Q8—44no—
1336C2×Q8—44no—
1337C2×Q8—42no—
1338C2×Q8—44no—
1339C2×Q8—44no—
1340C2×Q8—42no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—416no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—232no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—22no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—41no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—41no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—42no—
1440C22×C4—41no—
1441C22×C4—416no—
1442C22×C4C22×D414yes—
1443C22×C4C22×D414yes—
1444C22×C4C22×D414yes—
1445C22×C4C22×D414yes—
1446C22×C4C22×D414yes—
1447C22×C4C22×D418yes—
1448C22×C4C22×D418yes—
1449C22×C4C22×D414yes—
1450C22×C42−1+414yes—
1451C22×C42−1+414yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2514yes—
1458C22×C4C2514yes—
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2514yes—
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2514yes—
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2512yes—
1470C22×C4C2512yes—
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—24no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—28no—
1511C4⋊C4—28no—
1512C4⋊C4—28no—
1513C4⋊C4—28no—
1514C4⋊C4—28no—
1515C4⋊C4—28no—
1516C4⋊C4—28no—
1517C4⋊C4—28no—
1518C4⋊C4—28no—
1519C4⋊C4—28no—
1520C4⋊C4—28no—
1521C4⋊C4—28no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—28no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—42no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—42no—
1550C4⋊C4—42no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—42no—
1555C4⋊C4C22×D414yes—
1556C4⋊C4C22×D414yes—
1557C4⋊C4C22×D414yes—
1558C4⋊C4C22×D414yes—
1559C4⋊C4C22×D418yes—
1560C4⋊C4C22×D418yes—
1561C22⋊C4—22no—
1562C22⋊C4—24no—
1563C22⋊C4—28no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—28no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—22no—
1570C22⋊C4—22no—
1571C22⋊C4—22no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—28no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—22no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—22no—
1583C22⋊C4—22no—
1584C22⋊C4—22no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4C22×D418yes—
1617C22⋊C4C22×D418yes—
1618C22⋊C4C22×D418yes—
1619C22⋊C4C22×D418yes—
1620C42—22no—
1621C42—24no—
1622C42—22no—
1623C42—24no—
1624C42—24no—
1625C42—24no—
1626C42—28no—
1627C42—24no—
1628C42—24no—
1629C42—28no—
1630C42—24no—
1631C42—24no—
1632C42—22no—
1633C42—22no—
1634C42—24no—
1635C42—24no—
1636C42—24no—
1637C42—44no—
1638C42—44no—
1639C42—44no—
1640C42—44no—
1641C42C22×D418yes—
1642C42C22×D418yes—
1643C42C22×D418yes—
1644C42C22×D418yes—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—28no—
1668C23—21no—
1669C23—22no—
1670C23—21no—
1671C23—21no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—21no—
1677C23—21no—
1678C23—22no—
1679C23—21no—
1680C23—22no—
1681C23—21no—
1682C23—44no—
1683C23—44no—
1684C23—44no—
1685C23—44no—
1686C23—44no—
1687C23—44no—
1688C23—82no—
1689C23—82no—
1690C23—82no—
1691C23—82no—
1692C23—82no—
1693C23—82no—
1694C23—82no—
1695C23C23×D412yes—
1696C23C23×D412yes—
1697C23C23×D412yes—
1698C23C2×2−1+412yes—
1699C23C2×2−1+412yes—
1700C23#58512yes—
1701C23C2611yescharacteristic
1702Q8—48no—
1703Q8—44no—
1704Q8—88no—
1705Q8—88no—
1706Q8—88no—
1707Q8—84no—
1708Q8—88no—
1709D4—28no—
1710D4—44no—
1711D4—48no—
1712D4—44no—
1713D4—44no—
1714D4—48no—
1715D4—48no—
1716D4—44no—
1717D4—84no—
1718D4—84no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—28no—
1734C2×C4—28no—
1735C2×C4—28no—
1736C2×C4—28no—
1737C2×C4—28no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—24no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—24no—
1767C2×C4—24no—
1768C2×C4—24no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—24no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—24no—
1783C2×C4—24no—
1784C2×C4—24no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—48no—
1799C2×C4—48no—
1800C2×C4—48no—
1801C2×C4—44no—
1802C2×C4—48no—
1803C2×C4—44no—
1804C2×C4—44no—
1805C2×C4—44no—
1806C2×C4—44no—
1807C2×C4—44no—
1808C2×C4—48no—
1809C2×C4—84no—
1810C2×C4—84no—
1811C2×C4—84no—
1812C2×C4—84no—
1813C2×C4—82no—
1814C2×C4—84no—
1815C2×C4—84no—
1816C2×C4—84no—
1817C2×C4—84no—
1818C2×C4#536116yes—
1819C2×C4C23×D412yes—
1820C2×C4C23×D412yes—
1821C2×C4C23×D414yes—
1822C2×C4C23×D414yes—
1823C2×C4C23×D414yes—
1824C2×C4C23×D414yes—
1825C2×C4C23×D412yes—
1826C2×C4C23×D412yes—
1827C2×C4C2×2−1+412yes—
1828C2×C4C2×2−1+412yes—
1829C2×C4C2×2−1+412yes—
1830C2×C4C2×2−1+412yes—
1831C2×C4#58512yes—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—42no—
1860C22—41no—
1861C22—42no—
1862C22—41no—
1863C22—42no—
1864C22—41no—
1865C22—42no—
1866C22—41no—
1867C22—41no—
1868C22—42no—
1869C22—42no—
1870C22—41no—
1871C22—42no—
1872C22—41no—
1873C22—88no—
1874C22—88no—
1875C22C2×#53614yes—
1876C22C24×D411yescharacteristic
1877C22C22×2−1+411yescharacteristic
1878C22C22×2−1+411yescharacteristic
1879C22C2×#58511yescharacteristic
1880C22C2×#58511yescharacteristic
1881C22H(7,𝔽2)11yescharacteristic
1882C222−1+611yescharacteristic
1883C4—24no—
1884C4—22no—
1885C4—24no—
1886C4—24no—
1887C4—24no—
1888C4—22no—
1889C4—22no—
1890C4—41no—
1891C4—42no—
1892C4—44no—
1893C4—42no—
1894C4—42no—
1895C4—41no—
1896C4—42no—
1897C4—41no—
1898C4—44no—
1899C4—42no—
1900C4—42no—
1901C4—42no—
1902C4—42no—
1903C4—44no—
1904C4—41no—
1905C4—41no—
1906C4—42no—
1907C4—42no—
1908C4—44no—
1909C4—42no—
1910C4C2×#53614yes—
1911C4C2×#53614yes—
1912C2—24no—
1913C2—42no—
1914C2—42no—
1915C2—42no—
1916C2—82no—
1917C2—81no—
1918C2C22×#53611yescharacteristic
1919C2#6281111yescharacteristic
1920C2#6285311yescharacteristic
1921C2#6292811yescharacteristic
1922C2#6292911yescharacteristic
1923C2#6295811yescharacteristic
1924C2#6295911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3475C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×#3458C2semidirect
3. #42644C2semidirect
4. #42437C2semidirect
5. #42436C2semidirect
6. #42423C2semidirect
7. #40511C2semidirect
8. #40487C2semidirect
9. #39891C2semidirect
10. #39890C2semidirect
11. #39867C2semidirect
12. #39866C2semidirect
13. #38371C2semidirect
14. #38370C2semidirect
15. #37633C2semidirect
16. #37560C2semidirect
17. #37281C2semidirect
18. #37281C2semidirect
19. #37279C2semidirect
20. #37279C2semidirect
21. #35566C2semidirect
22. #35566C2semidirect
23. #35542C2semidirect
24. #35542C2semidirect
25. #35297C2semidirect
26. #35263C2semidirect
27. #35257C2semidirect
28. #35257C2semidirect
29. #35253C2semidirect
30. #35253C2semidirect
31. #35200C2semidirect
32. #35157C2semidirect
33. #34809C2semidirect
34. C2×#2485C2semidirect
35. #34180C2semidirect
54. C2×#544C22semidirect
55. C2×#544C22semidirect
56. C2×#544C22semidirect
57. C2×#544C22semidirect
61. C2×#533C22semidirect
62. C2×#533C22semidirect
63. C2×#533C22semidirect
64. C2×#533C22semidirect
77. #2857C22semidirect
78. #2857C22semidirect
79. #2857C22semidirect
80. #2857C22semidirect
81. #2855C22semidirect
82. #2854C22semidirect
84. #2851C22semidirect
85. #2851C22semidirect
86. #2851C22semidirect
87. #2851C22semidirect
88. #2817C22semidirect
91. #2814C22semidirect
92. #2721C22semidirect
93. #2721C22semidirect
94. #2719C22semidirect
95. #2719C22semidirect
96. #2716C22semidirect
97. #2716C22semidirect
98. #2713C22semidirect
99. #2713C22semidirect
101. #2700C22semidirect
102. #2698C22semidirect
103. #2698C22semidirect
104. #2694C22semidirect
105. #2694C22semidirect
106. #2690C22semidirect
107. #2690C22semidirect
108. #2689C22semidirect
109. #2689C22semidirect
111. #2687C22semidirect
115. #2680C22semidirect
116. #2677C22semidirect
117. #2677C22semidirect
119. #2674C22semidirect
120. #2674C22semidirect
121. #2674C22semidirect
125. #2663C22semidirect
127. #2638C22semidirect
128. #2637C22semidirect
129. #2637C22semidirect
130. #2634C22semidirect
131. #2632C22semidirect
132. #2629C22semidirect
133. #2629C22semidirect
134. #2629C22semidirect
135. #2629C22semidirect
136. #2628C22semidirect
137. #2628C22semidirect
138. #2628C22semidirect
139. #2628C22semidirect
140. #2625C22semidirect
141. #2625C22semidirect
142. #2624C22semidirect
144. #2621C22semidirect
147. #2604C22semidirect
148. #2604C22semidirect
149. #2599C22semidirect
150. #2599C22semidirect
151. #2584C22semidirect
152. #2584C22semidirect
153. #2584C22semidirect
154. #2584C22semidirect
155. #2581C22semidirect
156. #2567C22semidirect
157. #2567C22semidirect
158. #2565C22semidirect
159. #2563C22semidirect
160. #2563C22semidirect
161. #2562C22semidirect
162. #2562C22semidirect
163. #2562C22semidirect
164. #2562C22semidirect
165. #2552C22semidirect
166. #2552C22semidirect
167. #2551C22semidirect
168. #2551C22semidirect
169. #2550C22semidirect
170. #2550C22semidirect
171. #2550C22semidirect
172. #2550C22semidirect
175. #2547C22semidirect
176. #2547C22semidirect
177. #2546C22semidirect
178. #2546C22semidirect
179. #2545C22semidirect
180. #2536C22semidirect
181. #2500C22semidirect
182. #2500C22semidirect
183. #2499C22semidirect
184. #2499C22semidirect
185. #2499C22semidirect
187. #2492C22semidirect
188. #2492C22semidirect
189. #2491C22semidirect
190. #2491C22semidirect
191. #2490C22semidirect
192. #2490C22semidirect
193. #2489C22semidirect
194. #2489C22semidirect
199. #2487C22semidirect
202. #2486C22semidirect
215. #2485C22semidirect
216. #2485C22semidirect
217. #2485C22semidirect
218. #2485C22semidirect
219. #2485C22semidirect
220. #2485C22semidirect
226. #2454C22semidirect
227. #2454C22semidirect
228. #2453C22semidirect
229. #2453C22semidirect
230. #2452C22semidirect
231. #2452C22semidirect
232. #2451C22semidirect
233. #2451C22semidirect
238. #2442C22semidirect
239. #2442C22semidirect
240. #2441C22semidirect
241. #2441C22semidirect
244. #2440C22semidirect
245. #2440C22semidirect
246. #2439C22semidirect
247. #2439C22semidirect
254. #2415C22semidirect
261. #2347C22semidirect
262. #2346C22semidirect
263. #2345C22semidirect
264. #2344C22semidirect
267. #2327C22semidirect
268. #2326C22semidirect
269. #2323C22semidirect
270. #2323C22semidirect
277. #2314C22semidirect
278. #2314C22semidirect
291. #2285C22semidirect
292. #2283C22semidirect

Maximal subgroups

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

subgroupindex
C2×#34752
C2×#34582
#426442
#424372
#424362
#424232
#405112
#404872
#398912
#398902
#398672
#398662
#383712
#383702
#376332
#375602
#372812
#372792
#355662
#355422
#352972
#352632
#352572
#352532
#352002
#351572
#348092
C2×#24852
#341802