Finite Group Databasebeta

← #7656380

Subgroups — #7656380

Order 512.

6526 conjugacy classes of subgroups.

The subgroup lattice has 1829 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3516C211yesmaximal, characteristic, complemented
2C2×#3507C211yesmaximal, characteristic, complemented
3#42881C211yesmaximal, characteristic, complemented
4#42877C211yesmaximal, characteristic, complemented
5#42797C212yesmaximal, complemented
6#42795C211yesmaximal, characteristic, complemented
7#42791C211yesmaximal, characteristic, complemented
8#42787C212yesmaximal, complemented
9#42389C212yesmaximal, complemented
10#42312C212yesmaximal, complemented
11#42153C212yesmaximal, complemented
12#41957C212yesmaximal, complemented
13#40527C214yesmaximal, complemented
14#40526C214yesmaximal, complemented
15#39954C212yesmaximal, complemented
16#39951C212yesmaximal, complemented
17#38434C214yesmaximal, complemented
18#38431C214yesmaximal, complemented
19#37559C211yesmaximal, characteristic, complemented
20#37558C212yesmaximal, complemented
21#37551C211yesmaximal, characteristic, complemented
22#37541C212yesmaximal, complemented
23#36271C212yesmaximal, complemented
24#36268C212yesmaximal, complemented
25#36041C211yesmaximal, characteristic, complemented
26#35844C211yesmaximal, characteristic, complemented
27#35793C212yesmaximal, complemented
28#35749C211yesmaximal, characteristic, complemented
29#35724C212yesmaximal, complemented
30#35712C211yesmaximal, characteristic, complemented
31#35212C212yesmaximal, complemented
32#35191C211yesmaximal, characteristic, complemented
33#34643C212yesmaximal, complemented
34#34631C211yesmaximal, characteristic, complemented
35#34128C211yesmaximal, characteristic, complemented
36#3516—216no—
37#3507—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2211yescharacteristic
40C2×#557C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#557C2211yescharacteristic
43C2×#556C2212yes—
44C2×#556C2212yes—
45C2×#556C2212yes—
46C2×#556C2212yes—
47C2×#556C2211yescharacteristic
48C2×#554C2212yes—
49C2×#554C2212yes—
50C2×#554C2211yescharacteristic
51C2×#553C2212yes—
52C2×#553C2211yescharacteristic
53C2×#552C2214yes—
54C2×#552C2212yes—
55C2×#552C2211yescharacteristic
56C2×D4×Q8C2211yescharacteristic
57C2×#548C2211yescharacteristic
58C2×#548C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#542C2212yes—
61C2×#541C2211yescharacteristic
62C2×#541C2212yes—
63C2×#539C2214yes—
64C2×#536C2212yes—
65C2×#533C2211yescharacteristic
66C2×#532C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#529C2211yescharacteristic
70C2×#529C2212yes—
71C2×#529C2211yescharacteristic
72C2×#529C2212yes—
73C2×#520C2211yescharacteristic
74C2×#520C2212yes—
75C2×#519C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2861C2212yes—
78#2860C2214yes—
79#2860C2214yes—
80#2858C2212yes—
81#2822C2212yes—
82#2821C2212yes—
83#2821C2212yes—
84#2820C2212yes—
85#2820C2212yes—
86#2819C2212yes—
87#2816C2212yes—
88#2815C2212yes—
89#2814C2214yes—
90#2813C2214yes—
91#2732C2214yes—
92#2732C2214yes—
93#2730C2214yes—
94#2730C2214yes—
95#2729C2214yes—
96#2729C2214yes—
97#2728C2214yes—
98#2728C2214yes—
99#2726C2214yes—
100#2725C2214yes—
101#2723C2214yes—
102#2721C2214yes—
103#2716C2214yes—
104#2714C2214yes—
105#2707C2214yes—
106#2707C2214yes—
107#2705C2214yes—
108#2704C2214yes—
109#2692C2214yes—
110#2690C2214yes—
111#2682C2214yes—
112#2681C2214yes—
113#2677C2214yes—
114#2676C2214yes—
115#2664C2214yes—
116#2664C2212yes—
117#2664C2212yes—
118#2664C2212yes—
119#2664C2212yes—
120#2663C2214yes—
121#2663C2211yescharacteristic
122#2663C2211yescharacteristic
123#2663C2211yescharacteristic
124#2663C2211yescharacteristic
125#2663C2212yes—
126#2663C2212yes—
127#2662C2214yes—
128#2662C2212yes—
129#2662C2212yes—
130#2661C2214yes—
131#2661C2212yes—
132#2661C2212yes—
133#2661C2212yes—
134#2661C2212yes—
135#2660C2211yescharacteristic
136#2658C2211yescharacteristic
137#2642C2211yescharacteristic
138#2640C2211yescharacteristic
139#2638C2214yes—
140#2638C2214yes—
141#2637C2212yes—
142#2637C2212yes—
143#2636C2212yes—
144#2636C2212yes—
145#2635C2214yes—
146#2634C2212yes—
147#2633C2212yes—
148#2633C2212yes—
149#2632C2212yes—
150#2631C2212yes—
151#2631C2212yes—
152#2630C2214yes—
153#2630C2214yes—
154#2625C2212yes—
155#2624C2212yes—
156#2621C2211yescharacteristic
157#2621C2211yescharacteristic
158#2621C2212yes—
159#2620C2212yes—
160#2619C2211yescharacteristic
161#2619C2211yescharacteristic
162#2611C2214yes—
163#2611C2214yes—
164#2611C2212yes—
165#2611C2212yes—
166#2610C2212yes—
167#2610C2214yes—
168#2610C2212yes—
169#2604C2214yes—
170#2603C2214yes—
171#2603C2212yes—
172#2603C2212yes—
173#2603C2212yes—
174#2603C2212yes—
175#2602C2214yes—
176#2602C2214yes—
177#2601C2214yes—
178#2601C2214yes—
179#2601C2214yes—
180#2601C2214yes—
181#2600C2214yes—
182#2600C2214yes—
183#2599C2212yes—
184#2599C2212yes—
185#2598C2212yes—
186#2598C2212yes—
187#2592C2212yes—
188#2592C2212yes—
189#2592C2212yes—
190#2584C2212yes—
191#2584C2212yes—
192#2581C2211yescharacteristic
193#2581C2211yescharacteristic
194#2580C2211yescharacteristic
195#2580C2211yescharacteristic
196#2562C2212yes—
197#2560C2214yes—
198#2560C2214yes—
199#2556C2214yes—
200#2554C2214yes—
201#2548C2212yes—
202#2548C2211yescharacteristic
203#2547C2211yescharacteristic
204#2546C2212yes—
205#2546C2211yescharacteristic
206#2545C2212yes—
207#2545C2212yes—
208#2541C2211yescharacteristic
209#2540C2212yes—
210#2540C2212yes—
211#2519C2214yes—
212#2512C2214yes—
213#2481C2214yes—
214#2479C2214yes—
215#2477C2214yes—
216#2475C2214yes—
217#2475C2214yes—
218#2473C2214yes—
219#2473C2214yes—
220#2471C2214yes—
221#2471C2214yes—
222#2462C2214yes—
223#2461C2214yes—
224#2460C2214yes—
225#2458C2214yes—
226#2456C2214yes—
227#2454C2212yes—
228#2453C2212yes—
229#2452C2212yes—
230#2452C2214yes—
231#2451C2212yes—
232#2449C2214yes—
233#2448C2212yes—
234#2448C2212yes—
235#2446C2212yes—
236#2446C2212yes—
237#2443C2214yes—
238#2443C2214yes—
239#2436C2212yes—
240#2434C2212yes—
241#2432C2212yes—
242#2432C2212yes—
243#2431C2212yes—
244#2431C2212yes—
245#2429C2212yes—
246#2429C2212yes—
247#2429C2212yes—
248#2428C2212yes—
249#2427C2212yes—
250#2426C2212yes—
251#2426C2212yes—
252#2426C2212yes—
253#2415C2214yes—
254#2414C2214yes—
255#2414C2214yes—
256#2407C2212yes—
257#2407C2212yes—
258#2399C2212yes—
259#2398C2212yes—
260#2398C2212yes—
261#2397C2212yes—
262#2396C2211yescharacteristic
263#2396C2211yescharacteristic
264#2396C2211yescharacteristic
265#2396C2211yescharacteristic
266#2395C2212yes—
267#2395C2212yes—
268#2392C2214yes—
269#2392C2214yes—
270#2367C2212yes—
271#2367C2212yes—
272#2366C2212yes—
273#2365C2212yes—
274#2363C2212yes—
275#2362C2212yes—
276#2361C2212yes—
277#2360C2212yes—
278#2356C2211yescharacteristic
279#2356C2212yes—
280#2356C2211yescharacteristic
281#2356C2212yes—
282#2351C2211yescharacteristic
283#2351C2211yescharacteristic
284#2344C2214yes—
285#2344C2212yes—
286Q8×C22⋊C4C2212yes—
287#2324C2214yes—
288#2324C2214yes—
289#2323C2214yes—
290C4×C4⋊Q8C2212yes—
291C4×#124C2212yes—
292#2295C2212yes—
293#2295C2214yes—
294#2293C2214yes—
295#2293C2214yes—
296#2283C2212yes—
297#2283C2211yescharacteristic
298C42×Q8C2212yes—
299C4×#117C2211yescharacteristic
300C4×#117C2212yes—
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305#559—28no—
306#559—28no—
307#557—28no—
308#557—28no—
309#557—28no—
310#556—216no—
311#556—216no—
312#556—216no—
313#556—216no—
314#556—28no—
315#554—216no—
316#554—28no—
317#554—216no—
318#553—28no—
319#553—216no—
320#552—232no—
321#552—216no—
322#552—28no—
323D4×Q8—28no—
324#548—28no—
325#548—28no—
326#542—216no—
327#542—28no—
328#541—216no—
329#541—28no—
330#539—232no—
331#536—216no—
332#533—28no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×#127C2311yescharacteristic
346C2×#127C2312yes—
347#529—216no—
348#529—216no—
349#529—216no—
350#529—216no—
351#529—28no—
352#529—28no—
353C2×#126C2312yes—
354C2×#126C2314yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2314yes—
358C2×#126C2312yes—
359C2×#126C2311yescharacteristic
360C2×#126C2311yescharacteristic
361C2×#126C2314yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2314yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2311yescharacteristic
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2311yescharacteristic
374C2×#125C2314yes—
375C2×#125C2314yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#125C2312yes—
379C2×#125C2312yes—
380C2×#125C2311yescharacteristic
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2311yescharacteristic
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2311yescharacteristic
388C2×#124C2312yes—
389C2×#124C2312yes—
390C2×#124C2312yes—
391C2×#124C2311yescharacteristic
392C2×#124C2312yes—
393C2×#124C2312yes—
394C2×#124C2312yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2311yescharacteristic
398C2×#123C2312yes—
399C2×#123C2311yescharacteristic
400C2×#123C2314yes—
401C2×#123C2312yes—
402C2×#123C2314yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2314yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440#520—28no—
441#520—216no—
442#519—28no—
443C2×C4×Q8D4116yescomplemented
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×#117C2314yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2314yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2314yes—
503C2×#117C2312yes—
504C2×#117C2314yes—
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2314yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C42C2312yes—
511C22×C42C2311yescharacteristic
512#400C2311yescharacteristic
513#400C2312yes—
514#400C2312yes—
515#400C2314yes—
516#400C2311yescharacteristic
517#400C2314yes—
518#400C2314yes—
519#400C2311yescharacteristic
520#400C2312yes—
521#400C2312yes—
522#400C2311yescharacteristic
523#400C2314yes—
524#399C2314yes—
525#399C2311yescharacteristic
526#399C2312yes—
527#399C2314yes—
528#399C2312yes—
529#399C2314yes—
530#399C2311yescharacteristic
531#399C2314yes—
532#399C2311yescharacteristic
533#399C2312yes—
534#399C2312yes—
535#399C2311yescharacteristic
536#399C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2312yes—
540#398C2312yes—
541#398C2314yes—
542#398C2314yes—
543#398C2312yes—
544#398C2312yes—
545#398C2314yes—
546#398C2314yes—
547#398C2312yes—
548#398C2314yes—
549#398C2314yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2314yes—
556#398C2314yes—
557#398C2312yes—
558#398C2312yes—
559#398C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2312yes—
563#397C2312yes—
564#397C2314yes—
565#397C2314yes—
566#397C2312yes—
567#397C2312yes—
568#397C2314yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2314yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2314yes—
577#397C2312yes—
578#397C2312yes—
579#397C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#396C2314yes—
596#395C2311yescharacteristic
597#395C2312yes—
598#395C2314yes—
599#395C2312yes—
600#395C2314yes—
601#395C2311yescharacteristic
602#395C2314yes—
603#395C2311yescharacteristic
604#395C2311yescharacteristic
605#395C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2314yes—
615#394C2312yes—
616#394C2314yes—
617#394C2312yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2312yes—
622#394C2314yes—
623#394C2314yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#393C2314yes—
632#393C2314yes—
633#393C2311yescharacteristic
634#393C2312yes—
635#393C2314yes—
636#393C2312yes—
637#393C2311yescharacteristic
638#393C2314yes—
639#393C2311yescharacteristic
640#393C2311yescharacteristic
641#393C2314yes—
642#392C2312yes—
643#392C2312yes—
644#392C2314yes—
645#392C2314yes—
646#392C2314yes—
647#392C2314yes—
648#392C2314yes—
649#392C2312yes—
650#392C2312yes—
651#392C2312yes—
652#392C2314yes—
653#392C2312yes—
654#392C2314yes—
655#392C2314yes—
656#391C2312yes—
657#391C2312yes—
658#391C2314yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2314yes—
666#391C2314yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#390C2314yes—
671#390C2314yes—
672#390C2314yes—
673#390C2314yes—
674#390C2314yes—
675#390C2314yes—
676#390C2312yes—
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#390C2314yes—
681#390C2314yes—
682#390C2314yes—
683#390C2314yes—
684#390C2314yes—
685#390C2314yes—
686#390C2312yes—
687#390C2312yes—
688#390C2312yes—
689#390C2314yes—
690#390C2314yes—
691#389C2312yes—
692#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2314yes—
696#389C2314yes—
697#389C2314yes—
698#389C2314yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2314yes—
704#389C2314yes—
705#389C2314yes—
706#389C2314yes—
707#389C2312yes—
708#389C2312yes—
709#389C2314yes—
710#389C2314yes—
711#389C2314yes—
712#389C2314yes—
713#389C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2312yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2312yes—
740#388C2312yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2312yes—
747#388C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2314yes—
757#387C2314yes—
758#387C2314yes—
759#387C2314yes—
760#387C2314yes—
761#387C2314yes—
762#387C2314yes—
763#387C2314yes—
764#387C2314yes—
765#387C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#386C2314yes—
779#386C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#385C2314yes—
796#384C2312yes—
797#383C2312yes—
798#383C2312yes—
799#383C2312yes—
800#382C2312yes—
801#382C2312yes—
802#382C2311yescharacteristic
803#382C2311yescharacteristic
804#382C2312yes—
805#381C2312yes—
806#381C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2312yes—
811#380C2314yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843#376C2312yes—
844#376C2311yescharacteristic
845#376C2311yescharacteristic
846#376C2314yes—
847#376C2312yes—
848#376C2312yes—
849C43C2312yes—
850C43C2314yes—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—44no—
854C2×#41—44no—
855C2×#41—42no—
856C2×#41—42no—
857C22×Q8—24no—
858C22×Q8—42no—
859C22×Q8—42no—
860C22×Q8—42no—
861C22×Q8—42no—
862C22×Q8C2×D418yes—
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2414yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2414yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C4⋊Q8—28no—
905C4⋊Q8—28no—
906C4⋊Q8—24no—
907C4⋊Q8—28no—
908C4⋊Q8—24no—
909C4⋊Q8—28no—
910C4⋊Q8—24no—
911C4⋊Q8—24no—
912C4⋊Q8—24no—
913C4⋊Q8—44no—
914C4⋊Q8—44no—
915#127—24no—
916#127—44no—
917#126—216no—
918#126—216no—
919#126—28no—
920#126—28no—
921#126—28no—
922#126—28no—
923#126—28no—
924#126—28no—
925#126—28no—
926#126—24no—
927#126—216no—
928#126—216no—
929#126—28no—
930#126—24no—
931#125—216no—
932#125—216no—
933#125—28no—
934#125—28no—
935#125—28no—
936#125—24no—
937#125—28no—
938#125—24no—
939#125—28no—
940#125—28no—
941#125—24no—
942#125—28no—
943#125—28no—
944#125—28no—
945#124—28no—
946#124—28no—
947#124—24no—
948#124—28no—
949#124—24no—
950#124—28no—
951#124—28no—
952#124—24no—
953#124—28no—
954#124—28no—
955#124—28no—
956#124—44no—
957#124—44no—
958#124—44no—
959#123—24no—
960#123—28no—
961#123—24no—
962#123—216no—
963#123—216no—
964#123—216no—
965#123—216no—
966#123—28no—
967#123—28no—
968#123—28no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—24no—
972C22⋊Q8—28no—
973C22⋊Q8—24no—
974C22⋊Q8—28no—
975C22⋊Q8—24no—
976C22⋊Q8—24no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—24no—
981C22⋊Q8—28no—
982C22⋊Q8—216no—
983C22⋊Q8—216no—
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—48no—
990C22⋊Q8—44no—
991C22⋊Q8—44no—
992#121—28no—
993#121—24no—
994#121—28no—
995#121—28no—
996#121—24no—
997#121—28no—
998#121—24no—
999#121—28no—
1000#121—48no—
1001#121—48no—
1002#121—44no—
1003#121—44no—
1004C4×Q8—24no—
1005C4×Q8—24no—
1006C4×Q8—24no—
1007C4×Q8—28no—
1008C4×Q8—28no—
1009C4×Q8—28no—
1010C4×Q8—28no—
1011C4×Q8—24no—
1012C4×Q8—28no—
1013C4×Q8—28no—
1014C4×Q8—28no—
1015C4×Q8—24no—
1016C4×Q8—28no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8—44no—
1020C4×Q8—44no—
1021C4×Q8C2×D418yes—
1022C4×Q8C2×D4116yes—
1023C4×Q8C2×D418yes—
1024C4×Q8C2×D418yes—
1025C4×Q8C2×D4116yes—
1026C4×Q8C2×D418yes—
1027C4×D4—216no—
1028C4×D4—216no—
1029C4×D4—24no—
1030C4×D4—28no—
1031C4×D4—24no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—24no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—28no—
1043C4×D4—24no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—48no—
1049C4×D4—48no—
1050#117—28no—
1051#117—24no—
1052#117—28no—
1053#117—216no—
1054#117—28no—
1055#117—24no—
1056#117—28no—
1057#117—24no—
1058#117—216no—
1059#117—28no—
1060#117—28no—
1061#117—28no—
1062#117—216no—
1063#117—48no—
1064#117—44no—
1065C2×C4⋊C4—216no—
1066C2×C4⋊C4—24no—
1067C2×C4⋊C4—28no—
1068C2×C4⋊C4C2×D418yes—
1069C2×C4⋊C4C2×D4116yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C42C2×D4116yes—
1211C2×C42C2×D418yes—
1212C2×C42C2414yes—
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2412yes—
1216C2×C42C2414yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2412yes—
1219C2×C42C2414yes—
1220C2×C42C2412yes—
1221C2×C42C2412yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2414yes—
1228C2×C42C2412yes—
1229C2×C42C2414yes—
1230C2×C42C2414yes—
1231C2×C42C2412yes—
1232C2×C42C2412yes—
1233C2×C42C2414yes—
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2412yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2412yes—
1246#95C2412yes—
1247#95C2411yescharacteristic
1248#95C2412yes—
1249#95C2412yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294C24C2511yescharacteristic
1295C24C2514yes—
1296C24C2511yescharacteristic
1297C24C2512yes—
1298C24C2511yescharacteristic
1299#41—432no—
1300#41—416no—
1301C2×Q8—22no—
1302C2×Q8—22no—
1303C2×Q8—24no—
1304C2×Q8—22no—
1305C2×Q8—24no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—22no—
1316C2×Q8—22no—
1317C2×Q8—42no—
1318C2×Q8—42no—
1319C2×Q8—42no—
1320C2×Q8—42no—
1321C2×Q8—42no—
1322C2×Q8—42no—
1323C2×Q8—44no—
1324C2×Q8—42no—
1325C2×Q8—42no—
1326C2×Q8—42no—
1327C2×Q8—416no—
1328C2×Q8—416no—
1329C2×Q8C22×D414yes—
1330C2×Q8C22×D414yes—
1331C2×Q8C22×D418yes—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—22no—
1335C2×D4—28no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—22no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—28no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—42no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—28no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—28no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—28no—
1385C22×C4—24no—
1386C22×C4—44no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4C22×D414yes—
1405C22×C4C22×D414yes—
1406C22×C4C22×D418yes—
1407C22×C4C22×D414yes—
1408C22×C4C22×D418yes—
1409C22×C4C2512yes—
1410C22×C4C2514yes—
1411C22×C4C2514yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2512yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2512yes—
1422C22×C4C2514yes—
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2511yescharacteristic
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—28no—
1445C4⋊C4—28no—
1446C4⋊C4—24no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—24no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—28no—
1462C4⋊C4—28no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—22no—
1469C4⋊C4—24no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—28no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—42no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—44no—
1508C4⋊C4C22×D418yes—
1509C4⋊C4C22×D414yes—
1510C4⋊C4C22×D418yes—
1511C4⋊C4C22×D414yes—
1512C4⋊C4C22×D418yes—
1513C4⋊C4C22×D418yes—
1514C4⋊C4C22×D418yes—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—28no—
1524C22⋊C4—24no—
1525C22⋊C4—22no—
1526C22⋊C4—24no—
1527C22⋊C4—22no—
1528C22⋊C4—28no—
1529C22⋊C4—28no—
1530C22⋊C4—24no—
1531C22⋊C4—22no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—28no—
1536C22⋊C4—28no—
1537C22⋊C4—22no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—28no—
1542C22⋊C4—28no—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—22no—
1546C22⋊C4—24no—
1547C22⋊C4—22no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C42—28no—
1580C42—28no—
1581C42—24no—
1582C42—24no—
1583C42—24no—
1584C42—24no—
1585C42—22no—
1586C42—24no—
1587C42—24no—
1588C42—24no—
1589C42—22no—
1590C42—28no—
1591C42—24no—
1592C42—24no—
1593C42—24no—
1594C42—42no—
1595C42—42no—
1596C42—44no—
1597C42—44no—
1598C42—42no—
1599C42—44no—
1600C42—44no—
1601C42C22×D418yes—
1602C42C22×D418yes—
1603C42C22×D414yes—
1604C42C22×D414yes—
1605C42C22×D418yes—
1606C42C22×D414yes—
1607C42C22×D414yes—
1608C42C22×D418yes—
1609C23—22no—
1610C23—21no—
1611C23—21no—
1612C23—22no—
1613C23—24no—
1614C23—21no—
1615C23—22no—
1616C23—21no—
1617C23—24no—
1618C23—22no—
1619C23—22no—
1620C23—21no—
1621C23—21no—
1622C23—22no—
1623C23—24no—
1624C23—24no—
1625C23—24no—
1626C23—24no—
1627C23—21no—
1628C23—21no—
1629C23—22no—
1630C23—24no—
1631C23—24no—
1632C23—22no—
1633C23—22no—
1634C23—24no—
1635C23C23×D412yes—
1636C23C2611yescharacteristic
1637Q8—28no—
1638Q8—28no—
1639Q8—48no—
1640Q8—44no—
1641Q8—44no—
1642Q8—48no—
1643Q8—44no—
1644Q8—48no—
1645Q8—84no—
1646Q8—84no—
1647Q8—82no—
1648D4—48no—
1649D4—48no—
1650D4—48no—
1651D4—44no—
1652D4—44no—
1653D4—416no—
1654D4—44no—
1655D4—48no—
1656D4—84no—
1657D4—84no—
1658D4—82no—
1659D4—88no—
1660D4—88no—
1661D4—164no—
1662D4—164no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—28no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—24no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—48no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—48no—
1733C2×C4—48no—
1734C2×C4—416no—
1735C2×C4—48no—
1736C2×C4—44no—
1737C2×C4—44no—
1738C2×C4—84no—
1739C2×C4—88no—
1740C2×C4—84no—
1741C2×C4—84no—
1742C2×C4—88no—
1743C2×C4C23×D414yes—
1744C2×C4C23×D414yes—
1745C2×C4C23×D414yes—
1746C2×C4C23×D412yes—
1747C2×C4C23×D412yes—
1748C2×C4C23×D412yes—
1749C2×C4C23×D414yes—
1750C2×C4C23×D412yes—
1751C2×C4C23×D412yes—
1752C2×C4C23×D412yes—
1753C2×C4#58514yes—
1754C2×C4#58512yes—
1755C2×C4#58512yes—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—42no—
1760C22—42no—
1761C22—41no—
1762C22—44no—
1763C22—42no—
1764C22—41no—
1765C22—44no—
1766C22—42no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—42no—
1771C22—44no—
1772C22—41no—
1773C22—44no—
1774C22—44no—
1775C22—42no—
1776C22—44no—
1777C22—42no—
1778C22—42no—
1779C22—44no—
1780C22—42no—
1781C22—44no—
1782C22—44no—
1783C22C24×D411yescharacteristic
1784C22C2×#58512yes—
1785C22C2×#58511yescharacteristic
1786C22C2×#58511yescharacteristic
1787C222−1+612yes—
1788C4—24no—
1789C4—22no—
1790C4—24no—
1791C4—22no—
1792C4—22no—
1793C4—22no—
1794C4—22no—
1795C4—24no—
1796C4—24no—
1797C4—24no—
1798C4—42no—
1799C4—42no—
1800C4—42no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—42no—
1805C4—41no—
1806C4—42no—
1807C4—42no—
1808C4—41no—
1809C4—44no—
1810C4—41no—
1811C4—42no—
1812C4—44no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—44no—
1817C4#344914yes—
1818C2—42no—
1819C2—82no—
1820C2—84no—
1821C2—81no—
1822C2—81no—
1823C2C2×#344911yescharacteristic
1824C2#6281211yescharacteristic
1825C2#6284811yescharacteristic
1826C2#6296412yes—
1827C2#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×#3516C2semidirect
2. C2×#3507C2semidirect
3. #42881C2semidirect
4. #42877C2semidirect
5. #42797C2semidirect
6. #42795C2semidirect
7. #42791C2semidirect
8. #42787C2semidirect
9. #42389C2semidirect
10. #42312C2semidirect
11. #42153C2semidirect
12. #41957C2semidirect
13. #40527C2semidirect
14. #40526C2semidirect
15. #39954C2semidirect
16. #39951C2semidirect
17. #38434C2semidirect
18. #38431C2semidirect
19. #37559C2semidirect
20. #37558C2semidirect
21. #37551C2semidirect
22. #37541C2semidirect
23. #36271C2semidirect
24. #36268C2semidirect
25. #36041C2semidirect
26. #35844C2semidirect
27. #35793C2semidirect
28. #35749C2semidirect
29. #35724C2semidirect
30. #35712C2semidirect
31. #35212C2semidirect
32. #35191C2semidirect
33. #34643C2semidirect
34. #34631C2semidirect
35. #34128C2semidirect
443. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35162
C2×#35072
#428812
#428772
#427972
#427952
#427912
#427872
#423892
#423122
#421532
#419572
#405272
#405262
#399542
#399512
#384342
#384312
#375592
#375582
#375512
#375412
#362712
#362682
#360412
#358442
#357932
#357492
#357242
#357122
#352122
#351912
#346432
#346312
#341282