Finite Group Databasebeta

← #7650686

Subgroups — #7650686

Order 512.

6887 conjugacy classes of subgroups.

The subgroup lattice has 1873 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C211yesmaximal, characteristic
2C2×#3501C211yesmaximal, characteristic, complemented
3#42682C212yesmaximal, complemented
4#42681C212yesmaximal, complemented
5#42647C212yesmaximal, complemented
6#42485C212yesmaximal, complemented
7#42482C212yesmaximal, complemented
8#42442C212yesmaximal, complemented
9#42439C212yesmaximal, complemented
10#42431C212yesmaximal, complemented
11#40511C214yesmaximal, complemented
12#40487C214yesmaximal, complemented
13#39952C212yesmaximal, complemented
14#39952C212yesmaximal, complemented
15#39880C212yesmaximal, complemented
16#39877C212yesmaximal, complemented
17#39470C212yesmaximal, complemented
18#38958C212yesmaximal, complemented
19#38955C212yesmaximal, complemented
20#38911C212yesmaximal, complemented
21#38021C214yesmaximal, complemented
22#37835C214yesmaximal, complemented
23#35620C211yesmaximal, characteristic, complemented
24#35566C211yesmaximal, characteristic, complemented
25#35542C211yesmaximal, characteristic, complemented
26#35541C211yesmaximal, characteristic, complemented
27#35540C211yesmaximal, characteristic, complemented
28#35519C211yesmaximal, characteristic, complemented
29#35330C211yesmaximal, characteristic, complemented
30#35253C211yesmaximal, characteristic, complemented
31#35152C211yesmaximal, characteristic, complemented
32#34813C211yesmaximal, characteristic, complemented
33#34739C211yesmaximal, characteristic, complemented
34C2×#2420C211yesmaximal, characteristic, complemented
35#34255C211yesmaximal, characteristic, complemented
36#3501—216no—
37#3494—216no—
38C2×#555C2212yes—
39C2×#554C2212yescomplemented
40C2×#554C2212yescomplemented
41C2×#554C2212yescomplemented
42C2×#554C2212yescomplemented
43C2×#554C2212yescomplemented
44C2×#554C2212yescomplemented
45C2×#553C2212yes—
46C2×#553C2212yes—
47C2×#551C2214yes—
48C2×D4×Q8C2212yescomplemented
49C2×D4×Q8C2212yescomplemented
50C2×#547C2212yes—
51C2×#546C2214yes—
52C2×#544C2211yescharacteristic
53C2×#544C2211yescharacteristic
54C2×#544C2211yescharacteristic
55C2×#543C2214yes—
56C2×#542C2212yes—
57C2×#540C2212yes—
58C2×#535C2211yescharacteristic
59C2×#533C2211yescharacteristic
60C2×#533C2211yescharacteristic
61C2×#532C2212yes—
62C2×#529C2212yes—
63C2×#525C2211yescharacteristic
64C22×C22⋊Q8C2214yes—
65C22×#121C2211yescharacteristic
66C2×#520C2211yescharacteristic
67C2×#518C2211yescharacteristic
68C2×#518C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic
70C22×#117C2211yescharacteristic
71#2862C2212yescomplemented
72#2859C2212yescomplemented
73#2857C2212yescomplemented
74#2851C2212yescomplemented
75#2849C2214yes—
76#2817C2214yescomplemented
77#2816C2214yescomplemented
78#2814C2214yescomplemented
79#2814C2214yescomplemented
80#2700C2214yescomplemented
81#2700C2214yescomplemented
82#2700C2214yescomplemented
83#2700C2214yescomplemented
84#2700C2214yescomplemented
85#2700C2214yescomplemented
86#2698C2214yescomplemented
87#2698C2214yescomplemented
88#2698C2214yescomplemented
89#2698C2214yescomplemented
90#2689C2214yescomplemented
91#2689C2214yescomplemented
92#2689C2214yescomplemented
93#2689C2214yescomplemented
94#2687C2214yescomplemented
95#2687C2214yescomplemented
96#2687C2214yescomplemented
97#2687C2214yescomplemented
98#2687C2214yescomplemented
99#2687C2214yescomplemented
100#2681C2214yescomplemented
101#2681C2214yescomplemented
102#2681C2214yescomplemented
103#2681C2214yescomplemented
104#2680C2214yescomplemented
105#2680C2214yescomplemented
106#2674C2214yescomplemented
107#2674C2214yescomplemented
108#2672C2214yescomplemented
109#2672C2214yescomplemented
110#2672C2214yescomplemented
111#2672C2214yescomplemented
112#2663C2214yescomplemented
113#2663C2214yescomplemented
114#2660C2212yescomplemented
115#2660C2212yescomplemented
116#2638C2214yescomplemented
117#2638C2214yescomplemented
118#2629C2212yescomplemented
119#2628C2212yescomplemented
120#2627C2214yescomplemented
121#2625C2214yescomplemented
122#2623C2214yescomplemented
123#2622C2214yes—
124#2621C2214yescomplemented
125#2620C2214yescomplemented
126#2618C2214yescomplemented
127#2616C2214yescomplemented
128#2614C2214yescomplemented
129#2584C2212yescomplemented
130#2584C2212yescomplemented
131#2582C2212yescomplemented
132#2581C2212yescomplemented
133#2580C2212yescomplemented
134#2568C2212yescomplemented
135#2567C2212yescomplemented
136#2566C2212yescomplemented
137#2565C2212yescomplemented
138#2563C2212yescomplemented
139#2563C2212yescomplemented
140#2562C2212yescomplemented
141#2562C2212yescomplemented
142#2552C2212yescomplemented
143#2551C2212yescomplemented
144#2550C2212yescomplemented
145#2550C2212yescomplemented
146#2550C2212yescomplemented
147#2550C2212yescomplemented
148#2550C2212yescomplemented
149#2550C2212yescomplemented
150#2549C2214yes—
151#2549C2214yes—
152#2549C2214yes—
153#2547C2212yescomplemented
154#2546C2212yescomplemented
155#2538C2212yescomplemented
156#2503C2214yescomplemented
157#2499C2214yescomplemented
158#2492C2212yescomplemented
159#2492C2211yescharacteristic, complemented
160#2492C2211yescharacteristic, complemented
161#2491C2211yescharacteristic, complemented
162#2491C2212yescomplemented
163#2491C2211yescharacteristic, complemented
164#2490C2211yescharacteristic, complemented
165#2490C2212yescomplemented
166#2490C2211yescharacteristic, complemented
167#2489C2211yescharacteristic, complemented
168#2489C2212yescomplemented
169#2489C2211yescharacteristic, complemented
170#2488C2212yes—
171#2488C2214yes—
172#2488C2212yes—
173#2486C2214yescomplemented
174#2484C2214yescomplemented
175#2483C2214yes—
176#2472C2212yes—
177#2472C2214yes—
178#2472C2212yes—
179#2450C2214yes—
180#2450C2214yes—
181#2450C2214yes—
182#2449C2214yes—
183#2447C2212yescomplemented
184#2447C2212yescomplemented
185#2447C2212yescomplemented
186#2447C2212yescomplemented
187#2445C2212yescomplemented
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2445C2212yescomplemented
191#2442C2211yescharacteristic, complemented
192#2442C2212yescomplemented
193#2442C2212yescomplemented
194#2442C2211yescharacteristic, complemented
195#2442C2212yescomplemented
196#2442C2212yescomplemented
197#2441C2212yescomplemented
198#2441C2212yescomplemented
199#2441C2211yescharacteristic, complemented
200#2441C2211yescharacteristic, complemented
201#2440C2214yes—
202#2440C2212yescomplemented
203#2440C2212yescomplemented
204#2440C2211yescharacteristic, complemented
205#2440C2211yescharacteristic, complemented
206#2439C2211yescharacteristic, complemented
207#2439C2212yescomplemented
208#2439C2212yescomplemented
209#2439C2211yescharacteristic, complemented
210#2439C2212yescomplemented
211#2439C2212yescomplemented
212#2438C2212yes—
213#2438C2214yes—
214#2438C2212yes—
215#2437C2212yes—
216#2437C2214yes—
217#2437C2212yes—
218#2436C2214yescomplemented
219#2432C2214yescomplemented
220#2422C2212yes—
221#2422C2212yes—
222#2422C2212yes—
223#2422C2212yes—
224#2422C2212yescomplemented
225#2422C2212yescomplemented
226#2422C2212yescomplemented
227#2422C2212yescomplemented
228#2420C2212yes—
229#2420C2212yes—
230#2420C2212yes—
231#2420C2212yes—
232#2420C2212yes—
233#2420C2212yes—
234#2420C2212yes—
235#2420C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2420C2212yes—
239#2420C2212yes—
240#2420C2212yescomplemented
241#2420C2212yescomplemented
242#2420C2212yescomplemented
243#2420C2212yescomplemented
244#2415C2214yescomplemented
245#2415C2214yescomplemented
246#2413C2214yescomplemented
247#2413C2214yescomplemented
248#2412C2214yes—
249#2412C2214yes—
250#2409C2214yescomplemented
251#2406C2214yescomplemented
252#2405C2214yes—
253#2398C2212yescomplemented
254#2398C2212yescomplemented
255#2396C2212yescomplemented
256#2396C2212yescomplemented
257C2×#397C2212yes—
258C2×#394C2212yes—
259#2357C2212yescomplemented
260#2357C2212yescomplemented
261#2354C2212yescomplemented
262#2354C2212yescomplemented
263#2342C2214yes—
264#2342C2214yes—
265#2322C2214yescomplemented
266#2322C2214yescomplemented
267#2319C2212yescomplemented
268#2319C2212yescomplemented
269#2317C2211yescharacteristic
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2316C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2214yescomplemented
277#2310C2214yescomplemented
278#2309C2211yescharacteristic
279C4×#124C2212yescomplemented
280C4×#124C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282C4×C22⋊Q8C2212yescomplemented
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2293C2212yescomplemented
288#2293C2212yescomplemented
289C2×#390C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#386C2212yes—
292#2285C2211yescharacteristic
293C2×#382C2211yescharacteristic
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#381C2212yes—
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic
299C4×#117C2211yescharacteristic
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2314yes—
303C23×Q8C2314yes—
304C23×D4C2311yescharacteristic
305C23×D4C2312yes—
306C24×C4C2311yescharacteristic
307C24×C4C2312yes—
308#555—216no—
309#554—216no—
310#554—216no—
311#554—216no—
312#554—216no—
313#554—216no—
314#554—216no—
315#553—216no—
316#553—216no—
317#551—232no—
318D4×Q8—216no—
319D4×Q8—216no—
320#547—216no—
321#546—232no—
322#544—28no—
323#544—28no—
324#544—28no—
325#543—232no—
326#542—216no—
327#540—216no—
328#535—28no—
329#533—28no—
330#533—28no—
331#532—216no—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2314yes—
343C2×#127C2312yes—
344#529—216no—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#125C2312yes—
348C2×#125C2312yes—
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#125C2311yescharacteristic
352C2×#125C2311yescharacteristic
353C2×#125C2311yescharacteristic
354C2×#125C2311yescharacteristic
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#124C2312yes—
358C2×#124C2314yes—
359C2×#124C2314yes—
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2314yes—
363#525—28no—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2312yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×C22⋊Q8—232no—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2314yes—
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×#121—28no—
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2311yescharacteristic
409C2×#121C2311yescharacteristic
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#120C2314yes—
415C2×#120C2312yes—
416#520—28no—
417#518—28no—
418#518D4116yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×D4—28no—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×#117—28no—
444C2×#117C2311yescharacteristic
445C2×#117C2311yescharacteristic
446C2×#117C2314yes—
447C2×#117C2311yescharacteristic
448C2×#117C2311yescharacteristic
449C2×#117C2311yescharacteristic
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2311yescharacteristic
453C2×#117C2311yescharacteristic
454C2×#117C2312yes—
455C2×#117C2314yes—
456C2×#117C2314yes—
457C2×#117C2311yescharacteristic
458C2×#117C2311yescharacteristic
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2314yes—
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2314yes—
464C22×C4⋊C4C2314yes—
465C22×C4⋊C4C2311yescharacteristic
466C22×C4⋊C4C2311yescharacteristic
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C22⋊C4C2312yes—
470C22×C22⋊C4C2312yes—
471C22×C22⋊C4C2312yes—
472C22×C22⋊C4C2314yes—
473C22×C22⋊C4C2311yescharacteristic
474C22×C22⋊C4C2311yescharacteristic
475C22×C22⋊C4C2312yes—
476C22×C22⋊C4C2312yes—
477C22×C22⋊C4C2312yes—
478C22×C22⋊C4C2314yes—
479C22×C42C2312yes—
480C22×C42C2311yescharacteristic
481C22×C42C2311yescharacteristic
482#400C2312yes—
483#400C2314yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#399C2312yes—
495#399C2314yes—
496#399C2312yes—
497#399C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2312yes—
509#398C2314yes—
510#398C2314yes—
511#398C2312yes—
512#398C2314yes—
513#398C2312yes—
514#398C2312yes—
515#398C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2312yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2312yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2312yes—
536#397C2312yes—
537#397C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2312yes—
541#396C2314yes—
542#396C2314yes—
543#396C2312yes—
544#396C2314yes—
545#396C2314yes—
546#396C2312yes—
547#396C2312yes—
548#395C2312yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2314yes—
553#395C2314yes—
554#395C2314yes—
555#395C2312yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#395C2314yes—
560#394C2312yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2312yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2312yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2312yes—
581#394C2314yes—
582#393C2314yes—
583#393C2314yes—
584#393C2314yes—
585#393C2314yes—
586#393C2314yes—
587#393C2314yes—
588#393C2312yes—
589#393C2312yes—
590#393C2312yes—
591#393C2312yes—
592#393C2312yes—
593#393C2312yes—
594#391C2311yescharacteristic
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2314yes—
599#391C2314yes—
600#391C2314yes—
601#391C2314yes—
602#391C2314yes—
603#391C2314yes—
604#391C2312yes—
605#391C2314yes—
606#391C2314yes—
607#391C2311yescharacteristic
608#391C2314yes—
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#391C2314yes—
612#391C2314yes—
613#391C2312yes—
614#391C2312yes—
615#390C2311yescharacteristic
616#390C2312yes—
617#390C2314yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2311yescharacteristic
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2311yescharacteristic
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2314yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2312yes—
653#389C2312yes—
654#389C2314yes—
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2314yes—
658#389C2314yes—
659#389C2312yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2312yes—
664#389C2311yescharacteristic
665#389C2312yes—
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2312yes—
713#386C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2312yes—
738#384C2312yes—
739#384C2314yes—
740#384C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#382C2312yes—
746#382C2312yes—
747#382C2314yes—
748#382C2312yes—
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2311yescharacteristic
753#382C2312yes—
754#382C2311yescharacteristic
755#382C2312yes—
756#382C2312yes—
757#382C2312yes—
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#381C2314yes—
762#381C2314yes—
763#381C2314yes—
764#381C2314yes—
765#381C2314yes—
766#381C2314yes—
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2312yes—
771#381C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2311yescharacteristic
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#380C2314yes—
789#380C2311yescharacteristic
790#380C2312yes—
791#380C2311yescharacteristic
792#380C2311yescharacteristic
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2311yescharacteristic
799#379C2314yes—
800#379C2312yes—
801#379C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837#376C2312yes—
838C2×#95C2312yes—
839C2×#95C2311yescharacteristic
840C2×#95C2312yes—
841C2×#95C2312yes—
842C2×#95C2311yescharacteristic
843C2×#95C2312yes—
844C43C2312yes—
845C25C2411yescharacteristic
846C25C2412yes—
847C2×#41—24no—
848C2×#41—216no—
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—48no—
852C2×#41—84no—
853C22×Q8—216no—
854C22×Q8—48no—
855C22×Q8—84no—
856C22×Q8C2411yescharacteristic
857C22×Q8C2412yes—
858C22×Q8C2412yes—
859C22×Q8C2412yes—
860C22×Q8C2412yes—
861C22×Q8C2414yes—
862C22×Q8C2414yes—
863C22×Q8C2414yes—
864C22×D4—28no—
865C22×D4—24no—
866C22×D4—24no—
867C22×D4—44no—
868C22×D4—82no—
869C22×D4C2×D418yes—
870C22×D4C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C23×C4—28no—
881C23×C4—24no—
882C23×C4—24no—
883C23×C4—24no—
884C23×C4—44no—
885C23×C4—82no—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2414yes—
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2414yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C23×C4C2414yes—
908C23×C4C2411yescharacteristic
909C4⋊Q8—28no—
910C4⋊Q8—24no—
911C4⋊Q8—24no—
912C4⋊Q8—24no—
913C4⋊Q8—24no—
914C4⋊Q8—28no—
915C4⋊Q8—28no—
916C4⋊Q8—28no—
917C4⋊Q8—28no—
918C4⋊Q8—28no—
919C4⋊Q8—84no—
920#127—28no—
921#126—216no—
922#126—216no—
923#125—28no—
924#125—24no—
925#125—24no—
926#125—24no—
927#125—24no—
928#125—28no—
929#125—28no—
930#125—28no—
931#125—28no—
932#125—28no—
933#124—28no—
934#124—216no—
935#124—216no—
936#124—44no—
937#124—44no—
938#124—84no—
939#123—216no—
940#123—216no—
941#123—28no—
942#123—216no—
943#123—216no—
944#123—48no—
945#123—48no—
946#123—84no—
947#123—84no—
948#123—84no—
949#123—84no—
950C22⋊Q8—216no—
951C22⋊Q8—216no—
952C22⋊Q8—216no—
953C22⋊Q8—216no—
954C22⋊Q8—216no—
955C22⋊Q8—24no—
956C22⋊Q8—24no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—216no—
960C22⋊Q8—216no—
961C22⋊Q8—216no—
962C22⋊Q8—216no—
963C22⋊Q8—216no—
964C22⋊Q8—216no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—216no—
968C22⋊Q8—216no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8—84no—
975C22⋊Q8—84no—
976#121—28no—
977#121—28no—
978#121—28no—
979#121—28no—
980#121—28no—
981#121—28no—
982#121—216no—
983#121—24no—
984#121—24no—
985#121—216no—
986#121—216no—
987#120—216no—
988#120—28no—
989C4×Q8—28no—
990C4×Q8—28no—
991C4×Q8—28no—
992C4×Q8—28no—
993C4×Q8—28no—
994C4×D4—28no—
995C4×D4—28no—
996C4×D4—28no—
997C4×D4—28no—
998C4×D4—28no—
999C4×D4—28no—
1000C4×D4—28no—
1001C4×D4—28no—
1002C4×D4—216no—
1003C4×D4—216no—
1004C4×D4—216no—
1005C4×D4—28no—
1006C4×D4—28no—
1007C4×D4—28no—
1008C4×D4C2×D4116yes—
1009C4×D4C2×D4116yes—
1010C4×D4C2×D4116yes—
1011C4×D4C2×D4116yes—
1012#117—24no—
1013#117—24no—
1014#117—24no—
1015#117—216no—
1016#117—24no—
1017#117—24no—
1018#117—24no—
1019#117—24no—
1020#117—28no—
1021#117—28no—
1022#117—28no—
1023#117—84no—
1024#117—84no—
1025#117C2×D418yes—
1026#117C2×D418yes—
1027C2×C4⋊C4—24no—
1028C2×C4⋊C4—24no—
1029C2×C4⋊C4—216no—
1030C2×C4⋊C4—216no—
1031C2×C4⋊C4—216no—
1032C2×C4⋊C4—24no—
1033C2×C4⋊C4—24no—
1034C2×C4⋊C4—24no—
1035C2×C4⋊C4—28no—
1036C2×C4⋊C4—82no—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C22⋊C4—28no—
1108C2×C22⋊C4—216no—
1109C2×C22⋊C4—28no—
1110C2×C22⋊C4—28no—
1111C2×C22⋊C4—42no—
1112C2×C22⋊C4—42no—
1113C2×C22⋊C4—82no—
1114C2×C22⋊C4—82no—
1115C2×C22⋊C4—82no—
1116C2×C22⋊C4C2×D4132yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C42—24no—
1180C2×C42—24no—
1181C2×C42—28no—
1182C2×C42C2412yes—
1183C2×C42C2414yes—
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2414yes—
1201C2×C42C2414yes—
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270C24—24no—
1271C24—24no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—22no—
1276C24—41no—
1277C24—41no—
1278C24—42no—
1279C24—42no—
1280C24—42no—
1281C24—42no—
1282C24—41no—
1283C24C22×D418yes—
1284C24C2511yescharacteristic
1285C24C2512yes—
1286C24C2514yes—
1287C24C2511yescharacteristic
1288C24C2511yescharacteristic
1289#41—416no—
1290#41—832no—
1291C2×Q8—22no—
1292C2×Q8—24no—
1293C2×Q8—24no—
1294C2×Q8—24no—
1295C2×Q8—24no—
1296C2×Q8—28no—
1297C2×Q8—28no—
1298C2×Q8—28no—
1299C2×Q8—22no—
1300C2×Q8—22no—
1301C2×Q8—24no—
1302C2×Q8—24no—
1303C2×Q8—42no—
1304C2×Q8—42no—
1305C2×Q8—42no—
1306C2×Q8—42no—
1307C2×Q8—44no—
1308C2×Q8—42no—
1309C2×Q8—44no—
1310C2×Q8—42no—
1311C2×Q8—44no—
1312C2×Q8—44no—
1313C2×Q8—44no—
1314C2×Q8—44no—
1315C2×Q8—832no—
1316C2×D4—24no—
1317C2×D4—28no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—28no—
1321C2×D4—24no—
1322C2×D4—28no—
1323C2×D4—28no—
1324C2×D4—28no—
1325C2×D4—232no—
1326C2×D4—22no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—44no—
1336C2×D4—42no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—816no—
1346C2×D4C22×D418yes—
1347C2×D4C22×D418yes—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—28no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—28no—
1356C22×C4—24no—
1357C22×C4—28no—
1358C22×C4—24no—
1359C22×C4—28no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—22no—
1380C22×C4—28no—
1381C22×C4—24no—
1382C22×C4—28no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—41no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—42no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—41no—
1399C22×C4—42no—
1400C22×C4—42no—
1401C22×C4—42no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—416no—
1413C22×C4—816no—
1414C22×C4C22×D4116yes—
1415C22×C4C22×D4116yes—
1416C22×C4C22×D414yes—
1417C22×C42−1+414yes—
1418C22×C42−1+414yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2514yes—
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2512yes—
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2514yes—
1436C22×C4C2514yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—28no—
1468C4⋊C4—28no—
1469C4⋊C4—28no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—28no—
1476C4⋊C4—28no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—42no—
1515C4⋊C4C22×D414yes—
1516C4⋊C4C22×D414yes—
1517C4⋊C4C22×D414yes—
1518C4⋊C4C22×D414yes—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—28no—
1523C22⋊C4—28no—
1524C22⋊C4—28no—
1525C22⋊C4—28no—
1526C22⋊C4—28no—
1527C22⋊C4—28no—
1528C22⋊C4—28no—
1529C22⋊C4—28no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—22no—
1533C22⋊C4—22no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—28no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—24no—
1546C22⋊C4—41no—
1547C22⋊C4—41no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4C22×D418yes—
1578C22⋊C4C22×D418yes—
1579C22⋊C4C22×D4116yes—
1580C22⋊C4C22×D4116yes—
1581C42—24no—
1582C42—24no—
1583C42—24no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—28no—
1589C42—24no—
1590C42—24no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—24no—
1596C42—24no—
1597C42—42no—
1598C42—42no—
1599C42—44no—
1600C42—44no—
1601C42—42no—
1602C42—42no—
1603C42C22×D418yes—
1604C42C22×D418yes—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—24no—
1613C23—24no—
1614C23—21no—
1615C23—24no—
1616C23—24no—
1617C23—21no—
1618C23—24no—
1619C23—24no—
1620C23—21no—
1621C23—216no—
1622C23—21no—
1623C23—22no—
1624C23—21no—
1625C23—21no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—21no—
1630C23—22no—
1631C23—21no—
1632C23—22no—
1633C23—21no—
1634C23—22no—
1635C23—21no—
1636C23—48no—
1637C23—48no—
1638C23—44no—
1639C23—44no—
1640C23—44no—
1641C23—44no—
1642C23—82no—
1643C23—84no—
1644C23—84no—
1645C23—82no—
1646C23—84no—
1647C23—82no—
1648C23—84no—
1649C23C23×D418yes—
1650C23C23×D412yes—
1651C23C2×2−1+412yes—
1652C23C2×2−1+412yes—
1653C23#58512yes—
1654C23C2611yescharacteristic
1655Q8—48no—
1656Q8—48no—
1657Q8—44no—
1658Q8—84no—
1659Q8—84no—
1660Q8—88no—
1661Q8—88no—
1662Q8—88no—
1663D4—216no—
1664D4—216no—
1665D4—48no—
1666D4—416no—
1667D4—48no—
1668D4—44no—
1669D4—84no—
1670D4—88no—
1671D4—88no—
1672D4—88no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—24no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—24no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—416no—
1753C2×C4—416no—
1754C2×C4—44no—
1755C2×C4—416no—
1756C2×C4—48no—
1757C2×C4—44no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—44no—
1761C2×C4—44no—
1762C2×C4—48no—
1763C2×C4—84no—
1764C2×C4—88no—
1765C2×C4—88no—
1766C2×C4—82no—
1767C2×C4—84no—
1768C2×C4—82no—
1769C2×C4—82no—
1770C2×C4—88no—
1771C2×C4—84no—
1772C2×C4—84no—
1773C2×C4—88no—
1774C2×C4#536116yes—
1775C2×C4C23×D414yes—
1776C2×C4C23×D414yes—
1777C2×C4C23×D414yes—
1778C2×C4C23×D414yes—
1779C2×C4C23×D412yes—
1780C2×C4C23×D412yes—
1781C2×C4C2×2−1+412yes—
1782C2×C4C2×2−1+412yes—
1783C2×C4C2×2−1+412yes—
1784C2×C4C2×2−1+412yes—
1785C2×C4#58512yes—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—22no—
1791C22—22no—
1792C22—28no—
1793C22—22no—
1794C22—28no—
1795C22—22no—
1796C22—28no—
1797C22—22no—
1798C22—41no—
1799C22—44no—
1800C22—41no—
1801C22—44no—
1802C22—41no—
1803C22—44no—
1804C22—41no—
1805C22—44no—
1806C22—42no—
1807C22—41no—
1808C22—42no—
1809C22—41no—
1810C22—42no—
1811C22—41no—
1812C22—42no—
1813C22—41no—
1814C22—42no—
1815C22—41no—
1816C22—41no—
1817C22—42no—
1818C22—42no—
1819C22—41no—
1820C22—816no—
1821C22—88no—
1822C22C2×#53614yes—
1823C22C24×D411yescharacteristic
1824C22C22×2−1+411yescharacteristic
1825C22C22×2−1+411yescharacteristic
1826C22C2×#58511yescharacteristic
1827C22C2×#58511yescharacteristic
1828C22H(7,𝔽2)11yescharacteristic
1829C22H(7,𝔽2)11yescharacteristic
1830C4—22no—
1831C4—24no—
1832C4—24no—
1833C4—24no—
1834C4—24no—
1835C4—41no—
1836C4—44no—
1837C4—42no—
1838C4—44no—
1839C4—42no—
1840C4—42no—
1841C4—42no—
1842C4—42no—
1843C4—42no—
1844C4—41no—
1845C4—41no—
1846C4—42no—
1847C4—42no—
1848C4—44no—
1849C4—42no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—42no—
1855C4—42no—
1856C4—41no—
1857C4—41no—
1858C4C2×#53614yes—
1859C4C2×#53614yes—
1860C2—24no—
1861C2—48no—
1862C2—42no—
1863C2—82no—
1864C2—81no—
1865C2C22×#53611yescharacteristic
1866C2#6283111yescharacteristic
1867C2#6288111yescharacteristic
1868C2#6292911yescharacteristic
1869C2#6295811yescharacteristic
1870C2#6298711yescharacteristic
1871C2#6298711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3494C2
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×#3501C2semidirect
3. #42682C2semidirect
4. #42681C2semidirect
5. #42647C2semidirect
6. #42485C2semidirect
7. #42482C2semidirect
8. #42442C2semidirect
9. #42439C2semidirect
10. #42431C2semidirect
11. #40511C2semidirect
12. #40487C2semidirect
13. #39952C2semidirect
14. #39952C2semidirect
15. #39880C2semidirect
16. #39877C2semidirect
17. #39470C2semidirect
18. #38958C2semidirect
19. #38955C2semidirect
20. #38911C2semidirect
21. #38021C2semidirect
22. #37835C2semidirect
23. #35620C2semidirect
24. #35566C2semidirect
25. #35542C2semidirect
26. #35541C2semidirect
27. #35540C2semidirect
28. #35519C2semidirect
29. #35330C2semidirect
30. #35253C2semidirect
31. #35152C2semidirect
32. #34813C2semidirect
33. #34739C2semidirect
34. C2×#2420C2semidirect
35. #34255C2semidirect
39. C2×#554C22semidirect
40. C2×#554C22semidirect
41. C2×#554C22semidirect
42. C2×#554C22semidirect
43. C2×#554C22semidirect
44. C2×#554C22semidirect
48. C2×D4×Q8C22semidirect
49. C2×D4×Q8C22semidirect
71. #2862C22semidirect
72. #2859C22semidirect
73. #2857C22semidirect
74. #2851C22semidirect
76. #2817C22semidirect
77. #2816C22semidirect
78. #2814C22semidirect
79. #2814C22semidirect
80. #2700C22semidirect
81. #2700C22semidirect
82. #2700C22semidirect
83. #2700C22semidirect
84. #2700C22semidirect
85. #2700C22semidirect
86. #2698C22semidirect
87. #2698C22semidirect
88. #2698C22semidirect
89. #2698C22semidirect
90. #2689C22semidirect
91. #2689C22semidirect
92. #2689C22semidirect
93. #2689C22semidirect
94. #2687C22semidirect
95. #2687C22semidirect
96. #2687C22semidirect
97. #2687C22semidirect
98. #2687C22semidirect
99. #2687C22semidirect
100. #2681C22semidirect
101. #2681C22semidirect
102. #2681C22semidirect
103. #2681C22semidirect
104. #2680C22semidirect
105. #2680C22semidirect
106. #2674C22semidirect
107. #2674C22semidirect
108. #2672C22semidirect
109. #2672C22semidirect
110. #2672C22semidirect
111. #2672C22semidirect
112. #2663C22semidirect
113. #2663C22semidirect
114. #2660C22semidirect
115. #2660C22semidirect
116. #2638C22semidirect
117. #2638C22semidirect
118. #2629C22semidirect
119. #2628C22semidirect
120. #2627C22semidirect
121. #2625C22semidirect
122. #2623C22semidirect
124. #2621C22semidirect
125. #2620C22semidirect
126. #2618C22semidirect
127. #2616C22semidirect
128. #2614C22semidirect
129. #2584C22semidirect
130. #2584C22semidirect
131. #2582C22semidirect
132. #2581C22semidirect
133. #2580C22semidirect
134. #2568C22semidirect
135. #2567C22semidirect
136. #2566C22semidirect
137. #2565C22semidirect
138. #2563C22semidirect
139. #2563C22semidirect
140. #2562C22semidirect
141. #2562C22semidirect
142. #2552C22semidirect
143. #2551C22semidirect
144. #2550C22semidirect
145. #2550C22semidirect
146. #2550C22semidirect
147. #2550C22semidirect
148. #2550C22semidirect
149. #2550C22semidirect
153. #2547C22semidirect
154. #2546C22semidirect
155. #2538C22semidirect
156. #2503C22semidirect
157. #2499C22semidirect
158. #2492C22semidirect
159. #2492C22semidirect
160. #2492C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
163. #2491C22semidirect
164. #2490C22semidirect
165. #2490C22semidirect
166. #2490C22semidirect
167. #2489C22semidirect
168. #2489C22semidirect
169. #2489C22semidirect
173. #2486C22semidirect
174. #2484C22semidirect
183. #2447C22semidirect
184. #2447C22semidirect
185. #2447C22semidirect
186. #2447C22semidirect
187. #2445C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2442C22semidirect
192. #2442C22semidirect
193. #2442C22semidirect
194. #2442C22semidirect
195. #2442C22semidirect
196. #2442C22semidirect
197. #2441C22semidirect
198. #2441C22semidirect
199. #2441C22semidirect
200. #2441C22semidirect
202. #2440C22semidirect
203. #2440C22semidirect
204. #2440C22semidirect
205. #2440C22semidirect
206. #2439C22semidirect
207. #2439C22semidirect
208. #2439C22semidirect
209. #2439C22semidirect
210. #2439C22semidirect
211. #2439C22semidirect
218. #2436C22semidirect
219. #2432C22semidirect
224. #2422C22semidirect
225. #2422C22semidirect
226. #2422C22semidirect
227. #2422C22semidirect
240. #2420C22semidirect
241. #2420C22semidirect
242. #2420C22semidirect
243. #2420C22semidirect
244. #2415C22semidirect
245. #2415C22semidirect
246. #2413C22semidirect
247. #2413C22semidirect
250. #2409C22semidirect
251. #2406C22semidirect
253. #2398C22semidirect
254. #2398C22semidirect
255. #2396C22semidirect
256. #2396C22semidirect
259. #2357C22semidirect
260. #2357C22semidirect
261. #2354C22semidirect
262. #2354C22semidirect
265. #2322C22semidirect
266. #2322C22semidirect
267. #2319C22semidirect
268. #2319C22semidirect
276. #2311C22semidirect
277. #2310C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
C2×#35012
#426822
#426812
#426472
#424852
#424822
#424422
#424392
#424312
#405112
#404872
#399522
#398802
#398772
#394702
#389582
#389552
#389112
#380212
#378352
#356202
#355662
#355422
#355412
#355402
#355192
#353302
#352532
#351522
#348132
#347392
C2×#24202
#342552