Finite Group Databasebeta

← #7658642

Subgroups — #7658642

Order 512.

6462 conjugacy classes of subgroups.

The subgroup lattice has 1822 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#42890C211yesmaximal, characteristic, complemented
4#42886C211yesmaximal, characteristic, complemented
5#42815C211yesmaximal, characteristic, complemented
6#42811C211yesmaximal, characteristic, complemented
7#42802C212yesmaximal, complemented
8#42799C212yesmaximal, complemented
9#42797C212yesmaximal, complemented
10#42787C212yesmaximal, complemented
11#42300C214yesmaximal, complemented
12#42175C212yesmaximal, complemented
13#42170C212yesmaximal, complemented
14#41991C212yesmaximal, complemented
15#41988C212yesmaximal, complemented
16#41942C214yesmaximal, complemented
17#40523C214yesmaximal, complemented
18#40522C214yesmaximal, complemented
19#37622C211yesmaximal, characteristic, complemented
20#37616C211yesmaximal, characteristic, complemented
21#37558C212yesmaximal, complemented
22#37553C212yesmaximal, complemented
23#37544C211yesmaximal, characteristic, complemented
24#37543C212yesmaximal, complemented
25#36699C211yesmaximal, characteristic, complemented
26#36684C212yesmaximal, complemented
27#35956C211yesmaximal, characteristic, complemented
28#35949C211yesmaximal, characteristic, complemented
29#35938C211yesmaximal, characteristic, complemented
30#35853C211yesmaximal, characteristic, complemented
31#35817C212yesmaximal, complemented
32#35793C212yesmaximal, complemented
33#35787C212yesmaximal, complemented
34#35724C212yesmaximal, complemented
35#34196C211yesmaximal, 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×#552C2212yes—
54C2×#552C2211yescharacteristic
55C2×#552C2214yes—
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×#529C2212yes—
70C2×#529C2211yescharacteristic
71C2×#529C2212yes—
72C2×#529C2211yescharacteristic
73C2×#520C2212yes—
74C2×#520C2211yescharacteristic
75C2×#519C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2823C2214yes—
78#2823C2214yes—
79#2822C2212yes—
80#2822C2212yes—
81#2821C2211yescharacteristic
82#2821C2211yescharacteristic
83#2821C2211yescharacteristic
84#2821C2211yescharacteristic
85#2820C2212yes—
86#2820C2212yes—
87#2820C2212yes—
88#2819C2212yes—
89#2817C2212yes—
90#2816C2212yes—
91#2814C2214yes—
92#2814C2211yescharacteristic
93#2814C2212yes—
94#2814C2211yescharacteristic
95#2814C2211yescharacteristic
96#2814C2211yescharacteristic
97#2814C2212yes—
98#2813C2214yes—
99#2813C2212yes—
100#2813C2212yes—
101#2813C2212yes—
102#2813C2212yes—
103#2732C2214yes—
104#2732C2214yes—
105#2730C2214yes—
106#2730C2214yes—
107#2729C2214yes—
108#2729C2214yes—
109#2728C2214yes—
110#2728C2214yes—
111#2727C2214yes—
112#2725C2214yes—
113#2720C2214yes—
114#2719C2214yes—
115#2713C2214yes—
116#2711C2214yes—
117#2705C2214yes—
118#2704C2214yes—
119#2702C2214yes—
120#2702C2214yes—
121#2696C2214yes—
122#2694C2214yes—
123#2683C2214yes—
124#2681C2214yes—
125#2674C2214yes—
126#2673C2214yes—
127#2664C2212yes—
128#2664C2212yes—
129#2664C2214yes—
130#2664C2214yes—
131#2663C2214yes—
132#2662C2212yes—
133#2662C2214yes—
134#2662C2212yes—
135#2661C2214yes—
136#2658C2211yescharacteristic
137#2657C2211yescharacteristic
138#2642C2211yescharacteristic
139#2641C2211yescharacteristic
140#2638C2214yes—
141#2637C2214yes—
142#2636C2212yes—
143#2636C2212yes—
144#2636C2214yes—
145#2636C2214yes—
146#2635C2214yes—
147#2635C2214yes—
148#2634C2212yes—
149#2634C2212yes—
150#2633C2212yes—
151#2633C2212yes—
152#2632C2212yes—
153#2632C2212yes—
154#2631C2212yes—
155#2631C2212yes—
156#2630C2214yes—
157#2630C2214yes—
158#2629C2214yes—
159#2628C2212yes—
160#2625C2212yes—
161#2624C2212yes—
162#2621C2212yes—
163#2620C2214yes—
164#2620C2212yes—
165#2620C2212yes—
166#2620C2212yes—
167#2619C2212yes—
168#2611C2212yes—
169#2611C2212yes—
170#2610C2212yes—
171#2610C2212yes—
172#2609C2214yes—
173#2609C2214yes—
174#2604C2212yes—
175#2604C2212yes—
176#2603C2212yes—
177#2603C2212yes—
178#2602C2214yes—
179#2602C2214yes—
180#2601C2214yes—
181#2601C2214yes—
182#2601C2214yes—
183#2601C2214yes—
184#2600C2214yes—
185#2600C2214yes—
186#2598C2212yes—
187#2598C2212yes—
188#2592C2211yescharacteristic
189#2592C2211yescharacteristic
190#2584C2211yescharacteristic
191#2584C2211yescharacteristic
192#2582C2212yes—
193#2581C2212yes—
194#2580C2212yes—
195#2568C2211yescharacteristic
196#2566C2212yes—
197#2558C2214yes—
198#2558C2214yes—
199#2556C2214yes—
200#2554C2214yes—
201#2548C2212yes—
202#2548C2211yescharacteristic
203#2546C2212yes—
204#2545C2212yes—
205#2545C2212yes—
206#2545C2212yes—
207#2544C2212yes—
208#2544C2212yes—
209#2542C2211yescharacteristic
210#2541C2211yescharacteristic
211#2538C2212yes—
212#2536C2212yes—
213#2535C2212yes—
214#2519C2214yes—
215#2506C2214yes—
216#2481C2214yes—
217#2481C2214yes—
218#2479C2214yes—
219#2479C2214yes—
220#2477C2214yes—
221#2477C2214yes—
222#2475C2214yes—
223#2473C2214yes—
224#2471C2214yes—
225#2469C2214yes—
226#2467C2214yes—
227#2465C2214yes—
228#2463C2214yes—
229#2461C2214yes—
230#2454C2212yes—
231#2453C2212yes—
232#2452C2212yes—
233#2451C2212yes—
234#2449C2214yes—
235#2449C2214yes—
236#2448C2212yes—
237#2448C2212yes—
238#2446C2212yes—
239#2446C2212yes—
240#2445C2214yes—
241#2443C2214yes—
242#2436C2212yes—
243#2434C2212yes—
244#2432C2212yes—
245#2432C2212yes—
246#2431C2212yes—
247#2431C2212yes—
248#2429C2212yes—
249#2429C2212yes—
250#2429C2212yes—
251#2428C2212yes—
252#2427C2212yes—
253#2426C2212yes—
254#2426C2212yes—
255#2426C2212yes—
256#2415C2214yes—
257#2415C2214yes—
258#2414C2214yes—
259#2407C2212yes—
260#2407C2212yes—
261#2399C2211yescharacteristic
262#2399C2211yescharacteristic
263#2398C2211yescharacteristic
264#2398C2211yescharacteristic
265#2396C2212yes—
266#2396C2212yes—
267#2396C2214yes—
268#2396C2212yes—
269#2396C2212yes—
270#2395C2212yes—
271#2395C2212yes—
272#2392C2212yes—
273#2392C2212yes—
274#2392C2214yes—
275#2392C2214yes—
276#2392C2214yes—
277#2367C2212yes—
278#2367C2212yes—
279#2366C2212yes—
280#2365C2212yes—
281#2363C2212yes—
282#2362C2212yes—
283#2361C2212yes—
284#2360C2212yes—
285#2355C2214yes—
286#2355C2212yes—
287Q8×C4⋊C4C2212yes—
288#2344C2214yes—
289#2344C2212yes—
290Q8×C22⋊C4C2212yes—
291#2320C2212yes—
292#2320C2212yes—
293#2320C2211yescharacteristic
294#2320C2211yescharacteristic
295#2285C2212yes—
296#2285C2211yescharacteristic
297#2283C2211yescharacteristic
298#2283C2212yes—
299#2276C2211yescharacteristic
300#2276C2211yescharacteristic
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×#127C2311yescharacteristic
345C2×#127C2312yes—
346C2×#127C2312yes—
347#529—216no—
348#529—216no—
349#529—216no—
350#529—216no—
351#529—28no—
352#529—28no—
353C2×#126C2311yescharacteristic
354C2×#126C2311yescharacteristic
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2314yes—
363C2×#126C2314yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2311yescharacteristic
371C2×#125C2311yescharacteristic
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#125C2314yes—
375C2×#125C2314yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#125C2312yes—
379C2×#125C2312yes—
380C2×#125C2311yescharacteristic
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2311yescharacteristic
384C2×#124C2311yescharacteristic
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#124C2312yes—
389C2×#124C2312yes—
390C2×#124C2312yes—
391C2×#124C2311yescharacteristic
392C2×#124C2312yes—
393C2×#124C2312yes—
394C2×#124C2312yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2311yescharacteristic
398C2×#123C2311yescharacteristic
399C2×#123C2312yes—
400C2×#123C2314yes—
401C2×#123C2312yes—
402C2×#123C2314yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2314yes—
428C2×C22⋊Q8C2314yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2314yes—
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×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
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×Q8C2312yes—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2314yes—
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⋊C4C2314yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C42C2312yes—
511C22×C42C2311yescharacteristic
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2314yes—
521#400C2312yes—
522#400C2312yes—
523#400C2314yes—
524#400C2314yes—
525#400C2314yes—
526#400C2314yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2314yes—
534#399C2312yes—
535#399C2312yes—
536#399C2314yes—
537#399C2314yes—
538#399C2314yes—
539#399C2314yes—
540#398C2312yes—
541#398C2312yes—
542#398C2311yescharacteristic
543#398C2312yes—
544#398C2312yes—
545#398C2311yescharacteristic
546#398C2311yescharacteristic
547#398C2311yescharacteristic
548#398C2312yes—
549#398C2314yes—
550#398C2314yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#398C2312yes—
561#398C2314yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#398C2314yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2311yescharacteristic
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2314yes—
575#397C2311yescharacteristic
576#397C2311yescharacteristic
577#397C2311yescharacteristic
578#397C2312yes—
579#397C2314yes—
580#397C2314yes—
581#397C2314yes—
582#397C2314yes—
583#397C2314yes—
584#396C2312yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#396C2314yes—
596#396C2314yes—
597#396C2314yes—
598#396C2314yes—
599#396C2314yes—
600#396C2314yes—
601#396C2314yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2311yescharacteristic
613#395C2312yes—
614#395C2314yes—
615#395C2311yescharacteristic
616#395C2311yescharacteristic
617#395C2311yescharacteristic
618#395C2312yes—
619#395C2314yes—
620#395C2314yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2314yes—
628#394C2314yes—
629#394C2312yes—
630#394C2312yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2312yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2312yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2314yes—
650#394C2314yes—
651#394C2314yes—
652#394C2314yes—
653#393C2312yes—
654#393C2312yes—
655#393C2311yescharacteristic
656#393C2312yes—
657#393C2314yes—
658#393C2311yescharacteristic
659#393C2311yescharacteristic
660#393C2311yescharacteristic
661#393C2312yes—
662#393C2314yes—
663#393C2314yes—
664#392C2312yes—
665#392C2312yes—
666#392C2314yes—
667#392C2312yes—
668#392C2314yes—
669#392C2314yes—
670#392C2314yes—
671#392C2312yes—
672#392C2314yes—
673#392C2314yes—
674#392C2314yes—
675#392C2314yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2314yes—
682#391C2314yes—
683#391C2314yes—
684#391C2312yes—
685#391C2312yes—
686#391C2314yes—
687#391C2312yes—
688#391C2312yes—
689#390C2312yes—
690#390C2312yes—
691#390C2314yes—
692#390C2312yes—
693#390C2312yes—
694#390C2314yes—
695#390C2314yes—
696#390C2314yes—
697#390C2314yes—
698#390C2314yes—
699#390C2314yes—
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#389C2314yes—
706#389C2312yes—
707#389C2312yes—
708#389C2314yes—
709#389C2314yes—
710#389C2314yes—
711#389C2312yes—
712#389C2312yes—
713#389C2314yes—
714#389C2312yes—
715#389C2312yes—
716#389C2314yes—
717#389C2314yes—
718#389C2314yes—
719#389C2314yes—
720#389C2314yes—
721#389C2314yes—
722#389C2314yes—
723#389C2314yes—
724#388C2314yes—
725#388C2314yes—
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#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#388C2314yes—
748#388C2314yes—
749#388C2314yes—
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#386C2314yes—
781#386C2314yes—
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#384C2314yes—
798#384C2312yes—
799#383C2311yescharacteristic
800#383C2311yescharacteristic
801#383C2312yes—
802#383C2312yes—
803#382C2312yes—
804#382C2312yes—
805#382C2312yes—
806#382C2312yes—
807#382C2312yes—
808#382C2314yes—
809#381C2312yes—
810#381C2314yes—
811#380C2312yes—
812#380C2314yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2311yescharacteristic
817#380C2311yescharacteristic
818#380C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847#376C2312yes—
848#376C2312yes—
849#376C2311yescharacteristic
850#376C2311yescharacteristic
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—44no—
854C2×#41—44no—
855C2×#41—44no—
856C22×Q8—24no—
857C22×Q8—44no—
858C22×Q8—44no—
859C22×Q8C2×D418yes—
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2414yes—
893C23×C4C2412yes—
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C4⋊Q8—28no—
902C4⋊Q8—28no—
903C4⋊Q8—24no—
904C4⋊Q8—28no—
905C4⋊Q8—24no—
906C4⋊Q8—28no—
907C4⋊Q8—24no—
908C4⋊Q8—24no—
909C4⋊Q8—24no—
910C4⋊Q8—44no—
911#127—24no—
912#127—44no—
913#127—82no—
914#126—216no—
915#126—216no—
916#126—28no—
917#126—28no—
918#126—28no—
919#126—28no—
920#126—28no—
921#126—28no—
922#126—24no—
923#126—28no—
924#126—216no—
925#126—216no—
926#126—24no—
927#126—28no—
928#125—216no—
929#125—216no—
930#125—28no—
931#125—28no—
932#125—28no—
933#125—24no—
934#125—28no—
935#125—28no—
936#125—24no—
937#125—28no—
938#125—24no—
939#125—28no—
940#125—28no—
941#125—28no—
942#124—28no—
943#124—28no—
944#124—24no—
945#124—28no—
946#124—28no—
947#124—24no—
948#124—28no—
949#124—24no—
950#124—28no—
951#124—28no—
952#124—28no—
953#124—44no—
954#124—44no—
955#124—82no—
956#123—24no—
957#123—24no—
958#123—28no—
959#123—216no—
960#123—216no—
961#123—216no—
962#123—216no—
963#123—28no—
964#123—28no—
965#123—28no—
966C22⋊Q8—216no—
967C22⋊Q8—216no—
968C22⋊Q8—24no—
969C22⋊Q8—28no—
970C22⋊Q8—24no—
971C22⋊Q8—28no—
972C22⋊Q8—24no—
973C22⋊Q8—24no—
974C22⋊Q8—24no—
975C22⋊Q8—28no—
976C22⋊Q8—28no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—216no—
980C22⋊Q8—216no—
981C22⋊Q8—24no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—44no—
987C22⋊Q8—44no—
988C22⋊Q8—84no—
989C22⋊Q8—84no—
990#121—28no—
991#121—24no—
992#121—28no—
993#121—28no—
994#121—24no—
995#121—28no—
996#121—24no—
997#121—28no—
998#121—44no—
999#121—44no—
1000#121—84no—
1001C4×Q8—24no—
1002C4×Q8—24no—
1003C4×Q8—24no—
1004C4×Q8—28no—
1005C4×Q8—28no—
1006C4×Q8—28no—
1007C4×Q8—28no—
1008C4×Q8—24no—
1009C4×Q8—28no—
1010C4×Q8—28no—
1011C4×Q8—28no—
1012C4×Q8—24no—
1013C4×Q8—28no—
1014C4×Q8—24no—
1015C4×Q8—24no—
1016C4×Q8—44no—
1017C4×Q8—44no—
1018C4×Q8C2×D418yes—
1019C4×Q8C2×D4116yes—
1020C4×Q8C2×D418yes—
1021C4×Q8C2×D418yes—
1022C4×Q8C2×D4116yes—
1023C4×Q8C2×D418yes—
1024C4×D4—216no—
1025C4×D4—216no—
1026C4×D4—24no—
1027C4×D4—28no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—24no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—24no—
1039C4×D4—28no—
1040C4×D4—24no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—84no—
1046C4×D4—84no—
1047#117—28no—
1048#117—24no—
1049#117—28no—
1050#117—216no—
1051#117—28no—
1052#117—24no—
1053#117—28no—
1054#117—24no—
1055#117—216no—
1056#117—28no—
1057#117—28no—
1058#117—28no—
1059#117—216no—
1060#117—84no—
1061#117—82no—
1062C2×C4⋊C4—216no—
1063C2×C4⋊C4—24no—
1064C2×C4⋊C4—28no—
1065C2×C4⋊C4C2×D418yes—
1066C2×C4⋊C4C2×D4116yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C42C2×D4116yes—
1210C2×C42C2×D418yes—
1211C2×C42C2414yes—
1212C2×C42C2412yes—
1213C2×C42C2412yes—
1214C2×C42C2414yes—
1215C2×C42C2412yes—
1216C2×C42C2411yescharacteristic
1217C2×C42C2412yes—
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2412yes—
1222C2×C42C2412yes—
1223C2×C42C2412yes—
1224C2×C42C2414yes—
1225C2×C42C2414yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2414yes—
1229C2×C42C2414yes—
1230C2×C42C2412yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2412yes—
1241#95C2411yescharacteristic
1242#95C2412yes—
1243#95C2411yescharacteristic
1244#95C2414yes—
1245#95C2414yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291C24C2514yes—
1292C24C2511yescharacteristic
1293C24C2511yescharacteristic
1294C24C2512yes—
1295C24C2511yescharacteristic
1296#41—432no—
1297#41—416no—
1298C2×Q8—22no—
1299C2×Q8—22no—
1300C2×Q8—24no—
1301C2×Q8—22no—
1302C2×Q8—24no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—22no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—24no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—44no—
1312C2×Q8—44no—
1313C2×Q8—42no—
1314C2×Q8—42no—
1315C2×Q8—42no—
1316C2×Q8—42no—
1317C2×Q8—41no—
1318C2×Q8—42no—
1319C2×Q8—42no—
1320C2×Q8—41no—
1321C2×Q8—416no—
1322C2×Q8—416no—
1323C2×Q8C22×D414yes—
1324C2×Q8C22×D414yes—
1325C2×Q8C22×D418yes—
1326C2×D4—22no—
1327C2×D4—24no—
1328C2×D4—22no—
1329C2×D4—28no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—22no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—44no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—42no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—44no—
1353C2×D4—41no—
1354C2×D4—42no—
1355C2×D4—41no—
1356C2×D4—42no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C22×C4—24no—
1366C22×C4—28no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—28no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—28no—
1378C22×C4—42no—
1379C22×C4—41no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—41no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—42no—
1389C22×C4—44no—
1390C22×C4—42no—
1391C22×C4—44no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—42no—
1396C22×C4—44no—
1397C22×C4—42no—
1398C22×C4C22×D414yes—
1399C22×C4C22×D414yes—
1400C22×C4C22×D418yes—
1401C22×C4C22×D414yes—
1402C22×C4C22×D418yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2514yes—
1407C22×C4C2512yes—
1408C22×C4C2514yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2514yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—28no—
1439C4⋊C4—28no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—24no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—28no—
1456C4⋊C4—28no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—24no—
1464C4⋊C4—22no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—28no—
1476C4⋊C4—28no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—44no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—44no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—42no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4C22×D418yes—
1505C4⋊C4C22×D414yes—
1506C4⋊C4C22×D418yes—
1507C4⋊C4C22×D414yes—
1508C4⋊C4C22×D418yes—
1509C4⋊C4C22×D418yes—
1510C4⋊C4C22×D418yes—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—28no—
1520C22⋊C4—24no—
1521C22⋊C4—22no—
1522C22⋊C4—24no—
1523C22⋊C4—22no—
1524C22⋊C4—28no—
1525C22⋊C4—28no—
1526C22⋊C4—24no—
1527C22⋊C4—22no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—28no—
1532C22⋊C4—28no—
1533C22⋊C4—22no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—28no—
1538C22⋊C4—28no—
1539C22⋊C4—24no—
1540C22⋊C4—28no—
1541C22⋊C4—22no—
1542C22⋊C4—24no—
1543C22⋊C4—22no—
1544C22⋊C4—42no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C42—28no—
1576C42—28no—
1577C42—24no—
1578C42—24no—
1579C42—24no—
1580C42—24no—
1581C42—22no—
1582C42—24no—
1583C42—24no—
1584C42—24no—
1585C42—22no—
1586C42—24no—
1587C42—24no—
1588C42—44no—
1589C42—44no—
1590C42—42no—
1591C42—42no—
1592C42—44no—
1593C42—44no—
1594C42C22×D418yes—
1595C42C22×D414yes—
1596C42C22×D414yes—
1597C42C22×D418yes—
1598C42C22×D418yes—
1599C42C22×D418yes—
1600C42C22×D414yes—
1601C42C22×D414yes—
1602C23—22no—
1603C23—21no—
1604C23—21no—
1605C23—22no—
1606C23—24no—
1607C23—22no—
1608C23—21no—
1609C23—21no—
1610C23—24no—
1611C23—22no—
1612C23—22no—
1613C23—24no—
1614C23—24no—
1615C23—22no—
1616C23—24no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—22no—
1621C23—24no—
1622C23—24no—
1623C23—24no—
1624C23—22no—
1625C23—21no—
1626C23—24no—
1627C23—22no—
1628C23C23×D412yes—
1629C23C2611yescharacteristic
1630Q8—28no—
1631Q8—28no—
1632Q8—48no—
1633Q8—44no—
1634Q8—44no—
1635Q8—48no—
1636Q8—44no—
1637Q8—48no—
1638Q8—84no—
1639Q8—84no—
1640Q8—82no—
1641D4—48no—
1642D4—48no—
1643D4—44no—
1644D4—48no—
1645D4—44no—
1646D4—416no—
1647D4—44no—
1648D4—48no—
1649D4—84no—
1650D4—84no—
1651D4—82no—
1652D4—88no—
1653D4—88no—
1654D4—164no—
1655D4—164no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—28no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—44no—
1725C2×C4—48no—
1726C2×C4—44no—
1727C2×C4—48no—
1728C2×C4—48no—
1729C2×C4—416no—
1730C2×C4—48no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—84no—
1734C2×C4—88no—
1735C2×C4—84no—
1736C2×C4—88no—
1737C2×C4—84no—
1738C2×C4C23×D414yes—
1739C2×C4C23×D412yes—
1740C2×C4C23×D414yes—
1741C2×C4C23×D414yes—
1742C2×C4C23×D412yes—
1743C2×C4C23×D412yes—
1744C2×C4C23×D414yes—
1745C2×C4C23×D412yes—
1746C2×C4C23×D412yes—
1747C2×C4C23×D412yes—
1748C2×C4#58514yes—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—44no—
1756C22—44no—
1757C22—44no—
1758C22—42no—
1759C22—44no—
1760C22—44no—
1761C22—44no—
1762C22—42no—
1763C22—42no—
1764C22—44no—
1765C22—41no—
1766C22—42no—
1767C22—41no—
1768C22—42no—
1769C22—44no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—42no—
1774C22—44no—
1775C22—41no—
1776C22C24×D411yescharacteristic
1777C22C2×#58512yes—
1778C22H(7,𝔽2)11yescharacteristic
1779C222−1+612yes—
1780C222−1+611yescharacteristic
1781C4—22no—
1782C4—22no—
1783C4—24no—
1784C4—24no—
1785C4—22no—
1786C4—22no—
1787C4—22no—
1788C4—24no—
1789C4—24no—
1790C4—42no—
1791C4—44no—
1792C4—42no—
1793C4—44no—
1794C4—42no—
1795C4—42no—
1796C4—41no—
1797C4—42no—
1798C4—41no—
1799C4—42no—
1800C4—42no—
1801C4—41no—
1802C4—42no—
1803C4—42no—
1804C4—42no—
1805C4—41no—
1806C4—41no—
1807C4—44no—
1808C4—41no—
1809C4—42no—
1810C4#344914yes—
1811C2—42no—
1812C2—81no—
1813C2—84no—
1814C2—82no—
1815C2—81no—
1816C2C2×#344911yescharacteristic
1817C2#6284811yescharacteristic
1818C2#6285311yescharacteristic
1819C2#6305612yes—
1820C2#6306212yes—
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. #42890C2semidirect
4. #42886C2semidirect
5. #42815C2semidirect
6. #42811C2semidirect
7. #42802C2semidirect
8. #42799C2semidirect
9. #42797C2semidirect
10. #42787C2semidirect
11. #42300C2semidirect
12. #42175C2semidirect
13. #42170C2semidirect
14. #41991C2semidirect
15. #41988C2semidirect
16. #41942C2semidirect
17. #40523C2semidirect
18. #40522C2semidirect
19. #37622C2semidirect
20. #37616C2semidirect
21. #37558C2semidirect
22. #37553C2semidirect
23. #37544C2semidirect
24. #37543C2semidirect
25. #36699C2semidirect
26. #36684C2semidirect
27. #35956C2semidirect
28. #35949C2semidirect
29. #35938C2semidirect
30. #35853C2semidirect
31. #35817C2semidirect
32. #35793C2semidirect
33. #35787C2semidirect
34. #35724C2semidirect
35. #34196C2semidirect
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
#428902
#428862
#428152
#428112
#428022
#427992
#427972
#427872
#423002
#421752
#421702
#419912
#419882
#419422
#405232
#405222
#376222
#376162
#375582
#375532
#375442
#375432
#366992
#366842
#359562
#359492
#359382
#358532
#358172
#357932
#357872
#357242
#341962