Finite Group Databasebeta

← #7646699

Subgroups — #7646699

Order 512.

6640 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3482C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#42882C211yesmaximal, characteristic, complemented
4#42878C211yesmaximal, characteristic, complemented
5#42795C211yesmaximal, characteristic, complemented
6#42791C211yesmaximal, characteristic, complemented
7#42652C211yesmaximal, characteristic, complemented
8#42648C211yesmaximal, characteristic, complemented
9#42431C211yesmaximal, characteristic, complemented
10#42427C211yesmaximal, characteristic, complemented
11#41387C212yesmaximal, complemented
12#41383C212yesmaximal, complemented
13#40507C212yesmaximal, complemented
14#40503C212yesmaximal, complemented
15#39889C212yesmaximal, complemented
16#39884C212yesmaximal, complemented
17#39867C212yesmaximal, complemented
18#39863C212yesmaximal, complemented
19#38387C214yesmaximal, complemented
20#38383C214yesmaximal, complemented
21#37552C212yesmaximal, complemented
22#37541C212yesmaximal, complemented
23#36973C214yesmaximal, complemented
24#36972C214yesmaximal, complemented
25#35637C212yesmaximal, complemented
26#35573C212yesmaximal, complemented
27#35325C211yesmaximal, characteristic, complemented
28#35246C212yesmaximal, complemented
29#35200C211yesmaximal, characteristic, complemented
30#35156C212yesmaximal, complemented
31#35155C212yesmaximal, complemented
32#35111C212yesmaximal, complemented
33#34909C211yesmaximal, characteristic, complemented
34#34875C211yesmaximal, characteristic, complemented
35#34197C211yesmaximal, characteristic, complemented
36#3482—216no—
37C2×#557C2211yescharacteristic, complemented
38C2×#556C2212yes—
39C2×#556C2211yescharacteristic, complemented
40C2×#552C2212yes—
41C2×#552C2214yescomplemented
42C2×D4×Q8C2211yescharacteristic, complemented
43C2×#548C2212yes—
44C2×#547C2212yes—
45C2×#547C2211yescharacteristic, complemented
46#3455—216no—
47C2×#542C2211yescharacteristic
48C2×#542C2211yescharacteristic
49C2×#542C2211yescharacteristic
50C2×#542C2211yescharacteristic
51C2×#541C2211yescharacteristic
52C2×#541C2211yescharacteristic
53C2×#540C2211yescharacteristic
54C2×#540C2211yescharacteristic
55C2×#539C2212yes—
56C2×#539C2212yes—
57C2×#538C2212yes—
58C2×#538C2212yes—
59C2×#533C2211yescharacteristic
60C2×#533C2211yescharacteristic
61C2×#533C2212yescomplemented
62C2×#532C2211yescharacteristic
63C2×#529C2212yes—
64C2×#529C2214yes—
65C2×#529C2212yes—
66C2×#529C2212yes—
67C2×#529C2212yes—
68C2×#529C2212yescomplemented
69C2×#525C2211yescharacteristic
70C2×#525C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2212yescomplemented
75C22×C4×Q8C2212yescomplemented
76C22×#117C2211yescharacteristic
77#2855C2212yes—
78#2855C2214yescomplemented
79#2854C2214yes—
80#2853C2214yes—
81#2853C2214yescomplemented
82#2851C2214yescomplemented
83#2848C2212yes—
84#2822C2212yescomplemented
85#2820C2212yes—
86#2820C2212yescomplemented
87#2819C2212yes—
88#2817C2212yescomplemented
89#2816C2212yes—
90#2816C2212yescomplemented
91#2815C2212yes—
92#2727C2214yes—
93#2726C2214yescomplemented
94#2725C2214yes—
95#2725C2214yescomplemented
96#2724C2214yes—
97#2718C2214yes—
98#2718C2214yescomplemented
99#2710C2214yes—
100#2710C2214yes—
101#2707C2214yes—
102#2706C2214yescomplemented
103#2705C2214yes—
104#2704C2214yescomplemented
105#2703C2214yes—
106#2702C2214yescomplemented
107#2701C2214yes—
108#2701C2214yes—
109#2701C2214yes—
110#2700C2214yes—
111#2699C2214yes—
112#2698C2214yes—
113#2697C2214yes—
114#2689C2214yes—
115#2689C2214yescomplemented
116#2687C2214yescomplemented
117#2685C2214yes—
118#2682C2214yes—
119#2678C2214yes—
120#2674C2214yes—
121#2674C2214yes—
122#2672C2214yes—
123#2670C2214yes—
124#2664C2212yes—
125#2664C2212yescomplemented
126#2663C2212yes—
127#2663C2212yescomplemented
128#2662C2212yes—
129#2662C2212yescomplemented
130#2661C2212yes—
131#2661C2212yescomplemented
132#2638C2212yes—
133#2638C2212yes—
134#2638C2214yescomplemented
135#2637C2212yes—
136#2637C2212yes—
137#2637C2212yescomplemented
138#2637C2212yescomplemented
139#2637C2214yescomplemented
140#2636C2214yes—
141#2635C2214yes—
142#2630C2214yes—
143#2630C2214yes—
144#2630C2214yescomplemented
145#2630C2214yescomplemented
146#2628C2211yescharacteristic
147#2628C2211yescharacteristic
148#2623C2212yes—
149#2623C2212yescomplemented
150#2621C2211yescharacteristic
151#2621C2211yescharacteristic
152#2614C2212yes—
153#2614C2212yescomplemented
154#2611C2212yes—
155#2611C2212yes—
156#2611C2214yescomplemented
157#2610C2214yes—
158#2609C2212yes—
159#2609C2212yes—
160#2604C2214yes—
161#2604C2214yescomplemented
162#2604C2214yescomplemented
163#2603C2214yes—
164#2602C2214yes—
165#2602C2214yescomplemented
166#2601C2214yes—
167#2601C2214yescomplemented
168#2600C2214yes—
169#2599C2211yescharacteristic
170#2599C2212yes—
171#2599C2211yescharacteristic
172#2599C2212yes—
173#2599C2212yescomplemented
174#2599C2212yescomplemented
175#2599C2212yescomplemented
176#2598C2211yescharacteristic
177#2598C2211yescharacteristic
178#2598C2212yescomplemented
179#2592C2212yes—
180#2592C2212yes—
181#2584C2212yescomplemented
182#2584C2212yescomplemented
183#2583C2212yes—
184#2581C2214yescomplemented
185#2581C2211yescharacteristic, complemented
186#2580C2214yes—
187#2580C2211yescharacteristic, complemented
188#2579C2212yes—
189#2579C2214yes—
190#2579C2214yescomplemented
191#2567C2211yescharacteristic, complemented
192#2565C2214yescomplemented
193#2563C2211yescharacteristic, complemented
194#2561C2212yes—
195#2560C2214yes—
196#2558C2214yes—
197#2556C2214yescomplemented
198#2556C2214yescomplemented
199#2551C2212yescomplemented
200#2550C2212yescomplemented
201#2547C2211yescharacteristic, complemented
202#2546C2212yescomplemented
203#2546C2211yescharacteristic, complemented
204#2545C2214yes—
205#2545C2212yescomplemented
206#2542C2212yes—
207#2540C2212yes—
208#2538C2212yes—
209#2536C2212yes—
210#2536C2211yescharacteristic, complemented
211#2535C2211yescharacteristic, complemented
212#2534C2212yes—
213#2519C2214yes—
214#2506C2214yescomplemented
215#2504C2212yes—
216#2502C2212yescomplemented
217#2499C2212yes—
218#2492C2212yes—
219#2492C2212yescomplemented
220#2491C2212yes—
221#2489C2212yescomplemented
222#2485C2212yes—
223#2485C2214yes—
224#2484C2211yescharacteristic
225#2484C2212yes—
226#2482C2211yescharacteristic
227#2482C2212yes—
228#2478C2214yescomplemented
229#2476C2214yes—
230#2474C2214yes—
231#2470C2214yescomplemented
232#2466C2214yescomplemented
233#2461C2214yes—
234#2459C2214yes—
235#2456C2214yes—
236#2455C2214yescomplemented
237#2453C2212yescomplemented
238#2452C2214yescomplemented
239#2451C2212yescomplemented
240#2447C2212yescomplemented
241#2445C2212yescomplemented
242#2441C2212yescomplemented
243#2439C2212yescomplemented
244#2436C2212yes—
245#2434C2212yescomplemented
246#2432C2212yes—
247#2432C2212yescomplemented
248#2431C2212yescomplemented
249#2429C2212yes—
250#2429C2212yes—
251#2429C2212yes—
252#2429C2212yescomplemented
253#2426C2212yes—
254#2426C2212yescomplemented
255#2422C2212yes—
256#2420C2212yes—
257#2415C2212yes—
258#2414C2212yes—
259#2407C2212yes—
260#2407C2212yes—
261#2407C2212yes—
262#2406C2211yescharacteristic
263#2404C2211yescharacteristic
264#2396C2211yescharacteristic
265#2396C2211yescharacteristic
266#2395C2212yes—
267#2392C2211yescharacteristic
268#2392C2211yescharacteristic
269#2388C2212yes—
270#2357C2212yes—
271#2357C2212yes—
272#2357C2211yescharacteristic, complemented
273#2357C2211yescharacteristic, complemented
274#2351C2211yescharacteristic, complemented
275#2351C2211yescharacteristic, complemented
276#2346C2212yes—
277#2346C2214yescomplemented
278#2341C2212yes—
279#2327C2212yescomplemented
280#2327C2214yescomplemented
281#2326C2214yes—
282#2326C2212yescomplemented
283#2323C2212yes—
284#2323C2212yes—
285#2322C2214yes—
286#2322C2214yescomplemented
287#2319C2214yes—
288#2319C2212yescomplemented
289C4×C22⋊Q8C2212yescomplemented
290C4×#123C2212yes—
291C4×#121C2212yescomplemented
292C4×#120C2212yes—
293#2290C2212yes—
294#2290C2212yes—
295#2290C2214yescomplemented
296#2283C2211yescharacteristic
297#2283C2211yescharacteristic
298#2283C2212yescomplemented
299#2283C2212yescomplemented
300#2276C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C23×Q8C2312yes—
306C24×C4C2311yescharacteristic
307#557—28no—
308#556—28no—
309#556—216no—
310#552—216no—
311#552—232no—
312D4×Q8—28no—
313#548—216no—
314#547—216no—
315#547—28no—
316#542—28no—
317#542—28no—
318#542—28no—
319#542—28no—
320#541—28no—
321#541—28no—
322#540—28no—
323#540—28no—
324#539—216no—
325#539—216no—
326#538—216no—
327#538—216no—
328#533—216no—
329#533—28no—
330#533—28no—
331#532—28no—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2312yes—
341C2×#127C2311yescharacteristic
342#529—232no—
343#529—216no—
344#529—216no—
345#529—216no—
346#529—216no—
347#529—216no—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2314yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2314yes—
366C2×#125C2311yescharacteristic
367C2×#125C2311yescharacteristic
368C2×#125C2314yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2311yescharacteristic
376C2×#124C2311yescharacteristic
377C2×#124C2314yes—
378C2×#124C2312yes—
379#525—28no—
380#525—28no—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#120C2312yes—
431C2×#120C2312yes—
432C2×#120C2312yes—
433C4×#41—216no—
434C4×#41—28no—
435C4×#41—28no—
436C4×#41D4116yescomplemented
437C2×C4×Q8—216no—
438C2×C4×Q8C2314yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2314yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×#117—28no—
480C2×#117C2311yescharacteristic
481C2×#117C2311yescharacteristic
482C2×#117C2311yescharacteristic
483C2×#117C2311yescharacteristic
484C2×#117C2312yes—
485C2×#117C2314yes—
486C2×#117C2311yescharacteristic
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2311yescharacteristic
490C2×#117C2311yescharacteristic
491C2×#117C2311yescharacteristic
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2314yes—
495C2×#117C2312yes—
496C2×#117C2311yescharacteristic
497C2×#117C2312yes—
498C22×C4⋊C4C2314yes—
499C22×C4⋊C4C2311yescharacteristic
500C22×C4⋊C4C2311yescharacteristic
501C22×C4⋊C4C2312yes—
502C22×C22⋊C4C2311yescharacteristic
503C22×C22⋊C4C2311yescharacteristic
504C22×C42C2312yes—
505C22×C42C2314yes—
506C22×C42C2311yescharacteristic
507C22×C42C2312yes—
508C22×C42C2311yescharacteristic
509C22×C42C2312yes—
510#400C2311yescharacteristic
511#400C2312yes—
512#400C2314yes—
513#400C2311yescharacteristic
514#400C2314yes—
515#400C2314yes—
516#400C2314yes—
517#400C2312yes—
518#400C2312yes—
519#399C2311yescharacteristic
520#399C2312yes—
521#399C2314yes—
522#399C2311yescharacteristic
523#399C2314yes—
524#399C2314yes—
525#399C2314yes—
526#399C2312yes—
527#399C2312yes—
528#398C2314yes—
529#398C2314yes—
530#398C2312yes—
531#398C2312yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2312yes—
536#398C2312yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2312yes—
541#398C2312yes—
542#398C2311yescharacteristic
543#398C2312yes—
544#398C2311yescharacteristic
545#398C2312yes—
546#398C2312yes—
547#398C2314yes—
548#398C2314yes—
549#397C2314yes—
550#397C2312yes—
551#397C2312yes—
552#397C2314yes—
553#397C2314yes—
554#397C2312yes—
555#397C2314yes—
556#397C2311yescharacteristic
557#397C2312yes—
558#397C2312yes—
559#397C2311yescharacteristic
560#397C2314yes—
561#397C2312yes—
562#397C2312yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2312yes—
572#396C2312yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2312yes—
578#396C2312yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#395C2312yes—
584#395C2312yes—
585#395C2314yes—
586#395C2314yes—
587#395C2312yes—
588#395C2312yes—
589#395C2312yes—
590#395C2314yes—
591#395C2314yes—
592#395C2311yescharacteristic
593#395C2311yescharacteristic
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2311yescharacteristic
599#394C2312yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2311yescharacteristic
605#394C2314yes—
606#394C2314yes—
607#394C2312yes—
608#394C2312yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#393C2314yes—
618#393C2312yes—
619#393C2312yes—
620#393C2314yes—
621#393C2312yes—
622#393C2312yes—
623#393C2314yes—
624#393C2314yes—
625#393C2312yes—
626#393C2311yescharacteristic
627#393C2311yescharacteristic
628#392C2311yescharacteristic
629#392C2312yes—
630#392C2314yes—
631#392C2311yescharacteristic
632#392C2314yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#392C2314yes—
637#392C2314yes—
638#391C2314yes—
639#391C2314yes—
640#391C2312yes—
641#391C2312yes—
642#391C2312yes—
643#391C2314yes—
644#391C2314yes—
645#391C2312yes—
646#391C2312yes—
647#391C2312yes—
648#391C2314yes—
649#390C2314yes—
650#390C2312yes—
651#390C2314yes—
652#390C2314yes—
653#390C2312yes—
654#390C2312yes—
655#390C2314yes—
656#390C2314yes—
657#390C2312yes—
658#390C2314yes—
659#390C2314yes—
660#390C2314yes—
661#390C2314yes—
662#389C2314yes—
663#389C2314yes—
664#389C2314yes—
665#389C2312yes—
666#389C2312yes—
667#389C2314yes—
668#389C2314yes—
669#389C2314yes—
670#389C2314yes—
671#389C2314yes—
672#389C2314yes—
673#389C2312yes—
674#389C2312yes—
675#389C2314yes—
676#389C2314yes—
677#389C2312yes—
678#389C2314yes—
679#389C2314yes—
680#389C2312yes—
681#389C2314yes—
682#389C2314yes—
683#389C2314yes—
684#389C2314yes—
685#389C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2312yes—
708#388C2314yes—
709#388C2312yes—
710#388C2312yes—
711#388C2314yes—
712#388C2312yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2312yes—
722#388C2312yes—
723#387C2314yes—
724#387C2312yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2312yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2312yes—
735#387C2312yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2312yes—
745#387C2312yes—
746#386C2312yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2312yes—
752#386C2312yes—
753#386C2314yes—
754#386C2314yes—
755#386C2312yes—
756#386C2312yes—
757#386C2312yes—
758#386C2312yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2312yes—
763#385C2312yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2312yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2312yes—
774#385C2312yes—
775#385C2312yes—
776#385C2312yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2312yes—
787#385C2312yes—
788#384C2314yes—
789#384C2312yes—
790#383C2311yescharacteristic
791#383C2311yescharacteristic
792#383C2312yes—
793#382C2312yes—
794#382C2312yes—
795#382C2312yes—
796#382C2314yes—
797#382C2314yes—
798#382C2311yescharacteristic
799#382C2311yescharacteristic
800#382C2312yes—
801#381C2312yes—
802#381C2314yes—
803#381C2312yes—
804#381C2312yes—
805#381C2314yes—
806#381C2314yes—
807#381C2314yes—
808#381C2311yescharacteristic
809#381C2311yescharacteristic
810#381C2312yes—
811#380C2314yes—
812#380C2312yes—
813#380C2314yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2312yes—
818#380C2314yes—
819#380C2312yes—
820#380C2312yes—
821#379C2314yes—
822#379C2312yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847#376C2314yes—
848#376C2312yes—
849#376C2314yes—
850#376C2312yes—
851C25C2411yescharacteristic
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—42no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—42no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41C2×D418yes—
863C22×Q8—28no—
864C22×Q8—48no—
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2414yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C23×C4—24no—
890C23×C4—42no—
891C23×C4—42no—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2414yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2414yes—
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C4⋊Q8—24no—
914C4⋊Q8—28no—
915C4⋊Q8—24no—
916C4⋊Q8—24no—
917C4⋊Q8—28no—
918C4⋊Q8—24no—
919C4⋊Q8—24no—
920C4⋊Q8—44no—
921C4⋊Q8—48no—
922#127—24no—
923#126—28no—
924#126—28no—
925#126—216no—
926#126—28no—
927#126—28no—
928#126—216no—
929#126—28no—
930#126—28no—
931#126—28no—
932#126—28no—
933#126—216no—
934#125—28no—
935#125—28no—
936#125—216no—
937#125—24no—
938#125—24no—
939#125—216no—
940#125—28no—
941#125—28no—
942#125—28no—
943#125—28no—
944#124—24no—
945#124—24no—
946#124—28no—
947#124—28no—
948#124—216no—
949#124—28no—
950#124—28no—
951#124—28no—
952#124—44no—
953#124—48no—
954#123—28no—
955#123—216no—
956#123—28no—
957#123—28no—
958#123—28no—
959#123—28no—
960#123—216no—
961#123—28no—
962#123—28no—
963#123—28no—
964#123—28no—
965#123—28no—
966#123—216no—
967#123—48no—
968#123—48no—
969#123—44no—
970C22⋊Q8—24no—
971C22⋊Q8—24no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—24no—
979C22⋊Q8—24no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—216no—
984C22⋊Q8—216no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—44no—
988C22⋊Q8—44no—
989C22⋊Q8—44no—
990#121—24no—
991#121—24no—
992#121—216no—
993#121—28no—
994#121—28no—
995#121—28no—
996#121—28no—
997#121—28no—
998#121—24no—
999#121—24no—
1000#121—28no—
1001#121—28no—
1002#121—44no—
1003#120—28no—
1004#120—28no—
1005#120—44no—
1006C4×Q8—28no—
1007C4×Q8—24no—
1008C4×Q8—216no—
1009C4×Q8—28no—
1010C4×Q8—28no—
1011C4×Q8—28no—
1012C4×Q8—216no—
1013C4×Q8—28no—
1014C4×Q8—24no—
1015C4×Q8—24no—
1016C4×Q8—24no—
1017C4×Q8—28no—
1018C4×Q8—28no—
1019C4×Q8—44no—
1020C4×Q8—44no—
1021C4×Q8C2×D418yes—
1022C4×Q8C2×D418yes—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—216no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—216no—
1034C4×D4—24no—
1035C4×D4—24no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—44no—
1041C4×D4—44no—
1042C4×D4—48no—
1043C4×D4C2×D418yes—
1044C4×D4C2×D4116yes—
1045C4×D4C2×D4116yes—
1046C4×D4C2×D418yes—
1047#117—24no—
1048#117—24no—
1049#117—28no—
1050#117—28no—
1051#117—216no—
1052#117—24no—
1053#117—24no—
1054#117—24no—
1055#117—24no—
1056#117—24no—
1057#117—24no—
1058#117—24no—
1059#117—24no—
1060#117—28no—
1061#117—28no—
1062#117—216no—
1063#117C2×D418yes—
1064#117C2×D4116yes—
1065C2×C4⋊C4—24no—
1066C2×C4⋊C4—24no—
1067C2×C4⋊C4—28no—
1068C2×C4⋊C4—216no—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C22⋊C4—24no—
1139C2×C22⋊C4—24no—
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C42—24no—
1208C2×C42—216no—
1209C2×C42—28no—
1210C2×C42—28no—
1211C2×C42C2×D418yes—
1212C2×C42C2×D4116yes—
1213C2×C42C2412yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2412yes—
1216C2×C42C2411yescharacteristic
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2412yes—
1222C2×C42C2414yes—
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2414yes—
1229C2×C42C2414yes—
1230C2×C42C2414yes—
1231C2×C42C2414yes—
1232C2×C42C2414yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2412yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2411yescharacteristic
1255#95C2412yes—
1256#95C2412yes—
1257#95C2411yescharacteristic
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2411yescharacteristic
1271#95C2411yescharacteristic
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294C24—22no—
1295C24—41no—
1296C24—41no—
1297C24—42no—
1298C24—42no—
1299C24C2511yescharacteristic
1300C24C2511yescharacteristic
1301C24C2512yes—
1302C24C2512yes—
1303C24C2511yescharacteristic
1304C24C2512yes—
1305#41—416no—
1306#41—416no—
1307#41—432no—
1308#41—416no—
1309C2×Q8—22no—
1310C2×Q8—28no—
1311C2×Q8—24no—
1312C2×Q8—22no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—24no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—24no—
1322C2×Q8—28no—
1323C2×Q8—22no—
1324C2×Q8—44no—
1325C2×Q8—44no—
1326C2×Q8—44no—
1327C2×Q8—44no—
1328C2×Q8—432no—
1329C2×Q8C22×D414yes—
1330C2×D4—24no—
1331C2×D4—28no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—44no—
1351C2×D4—42no—
1352C2×D4—44no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—42no—
1365C2×D4—44no—
1366C2×D4—42no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4C22×D414yes—
1370C2×D4C22×D418yes—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—28no—
1374C22×C4—28no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—28no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—42no—
1403C22×C4—44no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—42no—
1418C22×C4—44no—
1419C22×C4—42no—
1420C22×C4—416no—
1421C22×C4C22×D414yes—
1422C22×C4C22×D418yes—
1423C22×C4C22×D414yes—
1424C22×C4C22×D414yes—
1425C22×C4C22×D418yes—
1426C22×C4C22×D418yes—
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2514yes—
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2514yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2514yes—
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2514yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2511yescharacteristic
1456C4⋊C4—24no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—28no—
1469C4⋊C4—28no—
1470C4⋊C4—28no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—22no—
1475C4⋊C4—28no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—28no—
1480C4⋊C4—28no—
1481C4⋊C4—24no—
1482C4⋊C4—28no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—28no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—42no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4C22×D414yes—
1522C4⋊C4C22×D414yes—
1523C4⋊C4C22×D418yes—
1524C4⋊C4C22×D418yes—
1525C22⋊C4—24no—
1526C22⋊C4—28no—
1527C22⋊C4—24no—
1528C22⋊C4—28no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—22no—
1534C22⋊C4—22no—
1535C22⋊C4—22no—
1536C22⋊C4—22no—
1537C22⋊C4—22no—
1538C22⋊C4—22no—
1539C22⋊C4—22no—
1540C22⋊C4—22no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—28no—
1546C22⋊C4—28no—
1547C22⋊C4—28no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—28no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—44no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
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⋊C4C22×D418yes—
1590C22⋊C4C22×D418yes—
1591C22⋊C4C22×D418yes—
1592C42—24no—
1593C42—24no—
1594C42—22no—
1595C42—22no—
1596C42—24no—
1597C42—28no—
1598C42—28no—
1599C42—22no—
1600C42—22no—
1601C42—24no—
1602C42—28no—
1603C42—24no—
1604C42—24no—
1605C42—24no—
1606C42—24no—
1607C42—44no—
1608C42—44no—
1609C42—44no—
1610C42—44no—
1611C42—44no—
1612C42C22×D414yes—
1613C42C22×D414yes—
1614C42C22×D414yes—
1615C42C22×D414yes—
1616C42C22×D418yes—
1617C42C22×D418yes—
1618C42C22×D418yes—
1619C23—24no—
1620C23—22no—
1621C23—21no—
1622C23—21no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—24no—
1627C23—22no—
1628C23—21no—
1629C23—21no—
1630C23—22no—
1631C23—24no—
1632C23—22no—
1633C23—22no—
1634C23—21no—
1635C23—21no—
1636C23—22no—
1637C23—22no—
1638C23—21no—
1639C23—21no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—24no—
1647C23—22no—
1648C23—22no—
1649C23—44no—
1650C23—82no—
1651C23—82no—
1652C23—84no—
1653C23—84no—
1654C23C23×D412yes—
1655C23C23×D414yes—
1656C23C2611yescharacteristic
1657Q8—28no—
1658Q8—28no—
1659Q8—416no—
1660Q8—48no—
1661Q8—44no—
1662Q8—48no—
1663Q8—84no—
1664Q8—84no—
1665D4—28no—
1666D4—48no—
1667D4—48no—
1668D4—44no—
1669D4—48no—
1670D4—416no—
1671D4—44no—
1672D4—84no—
1673D4—84no—
1674D4—84no—
1675D4—84no—
1676D4—84no—
1677D4—84no—
1678D4—88no—
1679D4—84no—
1680D4—84no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—28no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—24no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—44no—
1746C2×C4—48no—
1747C2×C4—48no—
1748C2×C4—44no—
1749C2×C4—48no—
1750C2×C4—48no—
1751C2×C4—416no—
1752C2×C4—48no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—48no—
1756C2×C4—44no—
1757C2×C4—416no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—48no—
1761C2×C4—84no—
1762C2×C4—84no—
1763C2×C4—82no—
1764C2×C4—82no—
1765C2×C4C23×D412yes—
1766C2×C4C23×D412yes—
1767C2×C4C23×D414yes—
1768C2×C4C23×D412yes—
1769C2×C4C23×D412yes—
1770C2×C4C23×D412yes—
1771C2×C4C23×D414yes—
1772C2×C4C23×D414yes—
1773C2×C4C23×D412yes—
1774C2×C4#58514yes—
1775C2×C4#58512yes—
1776C2×C4#58512yes—
1777C22—24no—
1778C22—22no—
1779C22—22no—
1780C22—24no—
1781C22—22no—
1782C22—24no—
1783C22—44no—
1784C22—42no—
1785C22—44no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—41no—
1790C22—41no—
1791C22—42no—
1792C22—42no—
1793C22—41no—
1794C22—41no—
1795C22—42no—
1796C22—44no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—41no—
1801C22—41no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—44no—
1807C22—42no—
1808C22—42no—
1809C22—88no—
1810C22C24×D411yescharacteristic
1811C22C2×#58512yes—
1812C22C2×#58511yescharacteristic
1813C22C2×#58511yescharacteristic
1814C222−1+612yes—
1815C4—22no—
1816C4—22no—
1817C4—24no—
1818C4—24no—
1819C4—22no—
1820C4—22no—
1821C4—24no—
1822C4—22no—
1823C4—24no—
1824C4—44no—
1825C4—41no—
1826C4—42no—
1827C4—41no—
1828C4—42no—
1829C4—41no—
1830C4—42no—
1831C4—41no—
1832C4—42no—
1833C4—42no—
1834C4—44no—
1835C4—42no—
1836C4—41no—
1837C4—41no—
1838C4—42no—
1839C4—44no—
1840C4—42no—
1841C4—44no—
1842C4—42no—
1843C4#344914yes—
1844C2—44no—
1845C2—42no—
1846C2—82no—
1847C2—82no—
1848C2—81no—
1849C2—81no—
1850C2C2×#344911yescharacteristic
1851C2#6281111yescharacteristic
1852C2#6285911yescharacteristic
1853C2#6293612yes—
1854C2#6296712yes—
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×#3482C2semidirect
2. C2×#3455C2semidirect
3. #42882C2semidirect
4. #42878C2semidirect
5. #42795C2semidirect
6. #42791C2semidirect
7. #42652C2semidirect
8. #42648C2semidirect
9. #42431C2semidirect
10. #42427C2semidirect
11. #41387C2semidirect
12. #41383C2semidirect
13. #40507C2semidirect
14. #40503C2semidirect
15. #39889C2semidirect
16. #39884C2semidirect
17. #39867C2semidirect
18. #39863C2semidirect
19. #38387C2semidirect
20. #38383C2semidirect
21. #37552C2semidirect
22. #37541C2semidirect
23. #36973C2semidirect
24. #36972C2semidirect
25. #35637C2semidirect
26. #35573C2semidirect
27. #35325C2semidirect
28. #35246C2semidirect
29. #35200C2semidirect
30. #35156C2semidirect
31. #35155C2semidirect
32. #35111C2semidirect
33. #34909C2semidirect
34. #34875C2semidirect
35. #34197C2semidirect
37. C2×#557C22semidirect
39. C2×#556C22semidirect
41. C2×#552C22semidirect
42. C2×D4×Q8C22semidirect
45. C2×#547C22semidirect
61. C2×#533C22semidirect
68. C2×#529C22semidirect
74. C2×C4×#41C22semidirect
75. C22×C4×Q8C22semidirect
78. #2855C22semidirect
81. #2853C22semidirect
82. #2851C22semidirect
84. #2822C22semidirect
86. #2820C22semidirect
88. #2817C22semidirect
90. #2816C22semidirect
93. #2726C22semidirect
95. #2725C22semidirect
98. #2718C22semidirect
102. #2706C22semidirect
104. #2704C22semidirect
106. #2702C22semidirect
115. #2689C22semidirect
116. #2687C22semidirect
125. #2664C22semidirect
127. #2663C22semidirect
129. #2662C22semidirect
131. #2661C22semidirect
134. #2638C22semidirect
137. #2637C22semidirect
138. #2637C22semidirect
139. #2637C22semidirect
144. #2630C22semidirect
145. #2630C22semidirect
149. #2623C22semidirect
153. #2614C22semidirect
156. #2611C22semidirect
161. #2604C22semidirect
162. #2604C22semidirect
165. #2602C22semidirect
167. #2601C22semidirect
173. #2599C22semidirect
174. #2599C22semidirect
175. #2599C22semidirect
178. #2598C22semidirect
181. #2584C22semidirect
182. #2584C22semidirect
184. #2581C22semidirect
185. #2581C22semidirect
187. #2580C22semidirect
190. #2579C22semidirect
191. #2567C22semidirect
192. #2565C22semidirect
193. #2563C22semidirect
197. #2556C22semidirect
198. #2556C22semidirect
199. #2551C22semidirect
200. #2550C22semidirect
201. #2547C22semidirect
202. #2546C22semidirect
203. #2546C22semidirect
205. #2545C22semidirect
210. #2536C22semidirect
211. #2535C22semidirect
214. #2506C22semidirect
216. #2502C22semidirect
219. #2492C22semidirect
221. #2489C22semidirect
228. #2478C22semidirect
231. #2470C22semidirect
232. #2466C22semidirect
236. #2455C22semidirect
237. #2453C22semidirect
238. #2452C22semidirect
239. #2451C22semidirect
240. #2447C22semidirect
241. #2445C22semidirect
242. #2441C22semidirect
243. #2439C22semidirect
245. #2434C22semidirect
247. #2432C22semidirect
248. #2431C22semidirect
252. #2429C22semidirect
254. #2426C22semidirect
272. #2357C22semidirect
273. #2357C22semidirect
274. #2351C22semidirect
275. #2351C22semidirect
277. #2346C22semidirect
279. #2327C22semidirect
280. #2327C22semidirect
282. #2326C22semidirect
286. #2322C22semidirect
288. #2319C22semidirect
289. C4×C22⋊Q8C22semidirect
291. C4×#121C22semidirect
295. #2290C22semidirect
298. #2283C22semidirect
299. #2283C22semidirect
300. #2276C22semidirect
436. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34822
C2×#34552
#428822
#428782
#427952
#427912
#426522
#426482
#424312
#424272
#413872
#413832
#405072
#405032
#398892
#398842
#398672
#398632
#383872
#383832
#375522
#375412
#369732
#369722
#356372
#355732
#353252
#352462
#352002
#351562
#351552
#351112
#349092
#348752
#341972