Finite Group Databasebeta

← #7644261

Subgroups — #7644261

Order 512.

6682 conjugacy classes of subgroups.

The subgroup lattice has 1879 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#42881C211yesmaximal, characteristic, complemented
4#42880C211yesmaximal, characteristic, complemented
5#42877C211yesmaximal, characteristic, complemented
6#42876C211yesmaximal, characteristic, complemented
7#42797C212yesmaximal, complemented
8#42796C212yesmaximal, complemented
9#42794C211yesmaximal, characteristic, complemented
10#42793C211yesmaximal, characteristic, complemented
11#42790C211yesmaximal, characteristic, complemented
12#42789C211yesmaximal, characteristic, complemented
13#42423C212yesmaximal, complemented
14#42421C212yesmaximal, complemented
15#42389C212yesmaximal, complemented
16#42388C212yesmaximal, complemented
17#41957C212yesmaximal, complemented
18#41956C212yesmaximal, complemented
19#40499C214yesmaximal, complemented
20#40497C214yesmaximal, complemented
21#37550C212yesmaximal, complemented
22#37544C212yesmaximal, complemented
23#37543C212yesmaximal, complemented
24#37541C212yesmaximal, complemented
25#37260C214yesmaximal, complemented
26#37189C214yesmaximal, complemented
27#35573C212yesmaximal, complemented
28#35572C212yesmaximal, complemented
29#35526C212yesmaximal, complemented
30#35525C212yesmaximal, complemented
31#35210C211yesmaximal, characteristic, complemented
32#35190C211yesmaximal, characteristic, complemented
33#34636C211yesmaximal, characteristic, complemented
34#34609C211yesmaximal, characteristic, complemented
35#34192C211yesmaximal, characteristic, complemented
36#3522—216no—
37C2×#559C2211yescharacteristic
38C2×#559C2212yes—
39C2×Q82C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×#554C2212yes—
42C2×#550C2211yescharacteristic
43C2×#548C2212yes—
44C2×#547C2214yes—
45C2×#547C2212yes—
46#3461—216no—
47C2×#544C2211yescharacteristic
48C2×#542C2211yescharacteristic
49C2×#542C2211yescharacteristic
50C2×#542C2214yes—
51C2×#542C2212yes—
52C2×#542C2212yes—
53C2×#541C2211yescharacteristic
54C2×#541C2211yescharacteristic
55C2×#541C2212yes—
56C2×#539C2212yes—
57C2×#539C2212yes—
58C2×#537C2211yescharacteristic
59C2×#536C2211yescharacteristic
60C2×#536C2211yescharacteristic
61C2×#533C2212yes—
62C2×#533C2211yescharacteristic
63C2×#533C2211yescharacteristic
64C2×#532C2211yescharacteristic
65C2×#532C2212yes—
66C2×#529C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#529C2212yes—
70C2×#529C2212yes—
71C2×#529C2211yescharacteristic
72C2×#529C2211yescharacteristic
73C2×#520C2212yes—
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2852C2214yes—
78#2850C2214yes—
79#2822C2212yes—
80#2821C2212yes—
81#2821C2212yes—
82#2820C2212yes—
83#2820C2212yes—
84#2819C2212yes—
85#2818C2212yes—
86#2818C2212yes—
87#2814C2214yes—
88#2813C2214yes—
89#2813C2214yes—
90#2813C2214yes—
91#2733C2214yes—
92#2732C2214yes—
93#2731C2214yes—
94#2730C2214yes—
95#2730C2214yes—
96#2730C2214yes—
97#2729C2214yes—
98#2728C2214yes—
99#2716C2214yes—
100#2714C2214yes—
101#2713C2214yes—
102#2711C2214yes—
103#2707C2214yes—
104#2705C2214yes—
105#2704C2214yes—
106#2702C2214yes—
107#2696C2214yes—
108#2694C2214yes—
109#2692C2214yes—
110#2690C2214yes—
111#2683C2214yes—
112#2682C2214yes—
113#2681C2214yes—
114#2681C2214yes—
115#2677C2214yes—
116#2677C2214yes—
117#2676C2214yes—
118#2676C2214yes—
119#2674C2214yes—
120#2674C2214yes—
121#2673C2214yes—
122#2673C2214yes—
123#2664C2212yes—
124#2664C2212yes—
125#2663C2214yes—
126#2662C2212yes—
127#2662C2212yes—
128#2661C2214yes—
129#2661C2214yes—
130#2661C2214yes—
131#2658C2212yes—
132#2657C2212yes—
133#2642C2212yes—
134#2641C2212yes—
135#2638C2211yescharacteristic
136#2638C2211yescharacteristic
137#2638C2212yes—
138#2637C2212yes—
139#2636C2212yes—
140#2636C2212yes—
141#2636C2212yes—
142#2636C2212yes—
143#2636C2212yes—
144#2635C2212yes—
145#2635C2212yes—
146#2635C2211yescharacteristic
147#2635C2211yescharacteristic
148#2635C2212yes—
149#2635C2212yes—
150#2635C2212yes—
151#2634C2212yes—
152#2634C2211yescharacteristic
153#2633C2211yescharacteristic
154#2633C2212yes—
155#2632C2212yes—
156#2632C2212yes—
157#2632C2211yescharacteristic
158#2631C2212yes—
159#2631C2211yescharacteristic
160#2631C2212yes—
161#2630C2214yes—
162#2630C2214yes—
163#2630C2212yes—
164#2630C2212yes—
165#2628C2211yescharacteristic
166#2628C2211yescharacteristic
167#2624C2212yes—
168#2619C2211yescharacteristic
169#2619C2211yescharacteristic
170#2616C2214yes—
171#2615C2212yes—
172#2615C2214yes—
173#2611C2212yes—
174#2610C2214yes—
175#2610C2212yes—
176#2610C2214yes—
177#2609C2214yes—
178#2609C2214yes—
179#2604C2212yes—
180#2604C2212yes—
181#2604C2214yes—
182#2603C2214yes—
183#2603C2212yes—
184#2603C2212yes—
185#2602C2214yes—
186#2602C2214yes—
187#2602C2214yes—
188#2601C2214yes—
189#2601C2214yes—
190#2599C2214yes—
191#2598C2214yes—
192#2598C2214yes—
193#2598C2212yes—
194#2598C2212yes—
195#2598C2214yes—
196#2581C2211yescharacteristic
197#2580C2211yescharacteristic
198#2568C2211yescharacteristic
199#2562C2212yes—
200#2562C2212yes—
201#2560C2214yes—
202#2558C2214yes—
203#2556C2214yes—
204#2554C2214yes—
205#2551C2212yes—
206#2550C2212yes—
207#2548C2212yes—
208#2548C2211yescharacteristic
209#2545C2212yes—
210#2545C2214yes—
211#2544C2214yes—
212#2542C2211yescharacteristic
213#2541C2211yescharacteristic
214#2541C2212yes—
215#2540C2212yes—
216#2540C2212yes—
217#2540C2212yes—
218#2538C2212yes—
219#2536C2212yes—
220#2536C2211yescharacteristic
221#2536C2214yes—
222#2535C2211yescharacteristic
223#2535C2214yes—
224#2500C2212yes—
225#2492C2212yes—
226#2491C2212yes—
227#2491C2212yes—
228#2490C2212yes—
229#2485C2212yes—
230#2481C2214yes—
231#2473C2214yes—
232#2467C2214yes—
233#2463C2214yes—
234#2461C2214yes—
235#2461C2214yes—
236#2460C2214yes—
237#2456C2214yes—
238#2454C2212yes—
239#2452C2214yes—
240#2452C2212yes—
241#2449C2214yes—
242#2448C2212yes—
243#2446C2212yes—
244#2445C2214yes—
245#2443C2214yes—
246#2442C2212yes—
247#2440C2212yes—
248#2432C2212yes—
249#2432C2214yes—
250#2431C2212yes—
251#2431C2212yes—
252#2431C2214yes—
253#2429C2212yes—
254#2428C2212yes—
255#2427C2212yes—
256#2426C2212yes—
257#2426C2212yes—
258#2426C2212yes—
259#2423C2212yes—
260#2421C2212yes—
261#2417C2212yes—
262#2416C2212yes—
263#2407C2212yes—
264#2407C2212yes—
265#2407C2212yes—
266#2407C2214yes—
267#2398C2212yes—
268#2397C2212yes—
269#2396C2211yescharacteristic
270#2396C2211yescharacteristic
271#2395C2212yes—
272#2392C2211yescharacteristic
273#2392C2211yescharacteristic
274#2388C2212yes—
275#2388C2212yes—
276#2388C2212yes—
277#2356C2211yescharacteristic
278#2356C2211yescharacteristic
279#2356C2212yes—
280#2356C2212yes—
281#2351C2211yescharacteristic
282#2351C2211yescharacteristic
283#2345C2214yes—
284#2345C2212yes—
285Q8×C22⋊C4C2212yes—
286#2328C2212yes—
287#2326C2212yes—
288#2324C2212yes—
289#2323C2212yes—
290#2320C2214yes—
291#2320C2212yes—
292C4×#121C2212yes—
293C4×#121C2212yes—
294#2290C2212yes—
295#2290C2212yes—
296#2283C2211yescharacteristic
297#2283C2211yescharacteristic
298#2283C2212yes—
299#2283C2212yes—
300#2276C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2314yes—
305C22×#41C2312yes—
306C23×Q8C2311yescharacteristic
307#559—28no—
308#559—216no—
309Q82—28no—
310#554—28no—
311#554—216no—
312#550—28no—
313#548—216no—
314#547—216no—
315#547—232no—
316#544—28no—
317#542—28no—
318#542—28no—
319#542—216no—
320#542—232no—
321#542—216no—
322#541—28no—
323#541—28no—
324#541—216no—
325#539—216no—
326#539—216no—
327#537—28no—
328#536—28no—
329#536—28no—
330#533—28no—
331#533—216no—
332#533—28no—
333#532—28no—
334#532—216no—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346C2×#127C2312yes—
347C2×#127C2311yescharacteristic
348C2×#127C2312yes—
349C2×#127C2314yes—
350#529—28no—
351#529—216no—
352#529—28no—
353#529—216no—
354#529—216no—
355#529—28no—
356#529—216no—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2314yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2311yescharacteristic
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2311yescharacteristic
373C2×#125C2311yescharacteristic
374C2×#125C2312yes—
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2311yescharacteristic
382C2×#124C2314yes—
383C2×#124C2312yes—
384C2×#124C2311yescharacteristic
385C2×#124C2311yescharacteristic
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#124C2314yes—
389C2×#124C2312yes—
390C2×#124C2314yes—
391C2×#124C2314yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2314yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2314yes—
403C2×#123C2314yes—
404C2×#123C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2314yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2314yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2314yes—
428C2×C22⋊Q8C2314yes—
429C2×C22⋊Q8C2314yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2311yescharacteristic
434C2×#121C2314yes—
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2314yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447#520—216no—
448C4×#41—28no—
449C4×#41—28no—
450C2×C4×Q8D4116yescomplemented
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2312yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2314yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2314yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C2×#117C2311yescharacteristic
505C2×#117C2311yescharacteristic
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2314yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C42C2312yes—
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513C22×C42C2311yescharacteristic
514C22×C42C2312yes—
515#400C2311yescharacteristic
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2314yes—
521#400C2314yes—
522#400C2314yes—
523#400C2314yes—
524#400C2312yes—
525#400C2311yescharacteristic
526#400C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2314yes—
530#399C2311yescharacteristic
531#399C2312yes—
532#399C2312yes—
533#399C2314yes—
534#399C2314yes—
535#399C2314yes—
536#399C2314yes—
537#399C2312yes—
538#399C2312yes—
539#399C2311yescharacteristic
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2311yescharacteristic
544#398C2314yes—
545#398C2314yes—
546#398C2312yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2312yes—
551#398C2312yes—
552#398C2311yescharacteristic
553#398C2312yes—
554#397C2314yes—
555#397C2311yescharacteristic
556#397C2314yes—
557#397C2312yes—
558#397C2314yes—
559#397C2314yes—
560#397C2312yes—
561#397C2314yes—
562#397C2314yes—
563#397C2312yes—
564#397C2311yescharacteristic
565#397C2312yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#395C2311yescharacteristic
583#395C2312yes—
584#395C2314yes—
585#395C2314yes—
586#395C2314yes—
587#395C2314yes—
588#395C2312yes—
589#395C2312yes—
590#395C2311yescharacteristic
591#395C2312yes—
592#394C2314yes—
593#394C2311yescharacteristic
594#394C2312yes—
595#394C2312yes—
596#394C2312yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2312yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2312yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2312yes—
616#394C2314yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2314yes—
623#394C2312yes—
624#394C2312yes—
625#394C2311yescharacteristic
626#394C2312yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#393C2314yes—
631#393C2311yescharacteristic
632#393C2312yes—
633#393C2314yes—
634#393C2314yes—
635#393C2314yes—
636#393C2314yes—
637#393C2312yes—
638#393C2312yes—
639#393C2311yescharacteristic
640#393C2312yes—
641#392C2311yescharacteristic
642#392C2312yes—
643#392C2312yes—
644#392C2314yes—
645#392C2314yes—
646#392C2312yes—
647#392C2314yes—
648#392C2314yes—
649#392C2312yes—
650#392C2314yes—
651#392C2314yes—
652#392C2314yes—
653#392C2314yes—
654#392C2314yes—
655#392C2314yes—
656#392C2314yes—
657#392C2314yes—
658#392C2312yes—
659#392C2314yes—
660#392C2312yes—
661#392C2312yes—
662#392C2312yes—
663#392C2312yes—
664#392C2314yes—
665#392C2311yescharacteristic
666#392C2312yes—
667#391C2314yes—
668#391C2312yes—
669#391C2314yes—
670#391C2312yes—
671#391C2312yes—
672#391C2314yes—
673#391C2314yes—
674#391C2312yes—
675#391C2314yes—
676#390C2314yes—
677#390C2312yes—
678#390C2314yes—
679#390C2312yes—
680#390C2312yes—
681#390C2312yes—
682#390C2314yes—
683#390C2314yes—
684#390C2314yes—
685#390C2314yes—
686#390C2314yes—
687#390C2314yes—
688#390C2314yes—
689#390C2314yes—
690#390C2312yes—
691#390C2312yes—
692#390C2314yes—
693#390C2314yes—
694#389C2312yes—
695#389C2312yes—
696#389C2314yes—
697#389C2314yes—
698#389C2312yes—
699#389C2314yes—
700#389C2312yes—
701#389C2314yes—
702#389C2314yes—
703#389C2314yes—
704#389C2314yes—
705#389C2312yes—
706#389C2312yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2312yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2312yes—
736#388C2312yes—
737#388C2312yes—
738#387C2312yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2312yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2312yes—
754#387C2312yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2312yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2312yes—
776#386C2312yes—
777#386C2312yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2312yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2312yes—
793#385C2312yes—
794#385C2312yes—
795#384C2312yes—
796#383C2312yes—
797#383C2312yes—
798#383C2312yes—
799#383C2314yes—
800#383C2311yescharacteristic
801#383C2311yescharacteristic
802#382C2312yes—
803#382C2312yes—
804#382C2312yes—
805#382C2312yes—
806#382C2314yes—
807#382C2311yescharacteristic
808#382C2311yescharacteristic
809#381C2311yescharacteristic
810#381C2311yescharacteristic
811#381C2312yes—
812#380C2314yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2314yes—
820#380C2314yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846#376C2312yes—
847#376C2314yes—
848#376C2312yes—
849#376C2312yes—
850#376C2312yes—
851C2×#41—28no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—216no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—42no—
859C2×#41—42no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—84no—
863C2×#41—84no—
864C2×#41—84no—
865C22×Q8—42no—
866C22×Q8—42no—
867C22×Q8C2×D418yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2412yes—
875C22×Q8C2412yes—
876C22×Q8C2414yes—
877C22×Q8C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2414yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C23×C4C2414yes—
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C4⋊Q8—24no—
920C4⋊Q8—24no—
921C4⋊Q8—28no—
922C4⋊Q8—24no—
923C4⋊Q8—24no—
924C4⋊Q8—28no—
925C4⋊Q8—28no—
926C4⋊Q8—216no—
927C4⋊Q8—24no—
928C4⋊Q8—28no—
929C4⋊Q8—84no—
930#127—24no—
931#127—28no—
932#127—44no—
933#127—84no—
934#126—28no—
935#126—28no—
936#126—28no—
937#126—28no—
938#126—28no—
939#126—28no—
940#126—28no—
941#126—28no—
942#126—28no—
943#126—216no—
944#125—24no—
945#125—24no—
946#125—28no—
947#125—28no—
948#125—28no—
949#125—28no—
950#125—28no—
951#125—28no—
952#125—28no—
953#125—24no—
954#125—28no—
955#124—24no—
956#124—24no—
957#124—28no—
958#124—28no—
959#124—216no—
960#124—28no—
961#124—28no—
962#124—24no—
963#124—28no—
964#124—28no—
965#124—216no—
966#124—44no—
967#124—84no—
968#124—84no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—216no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—216no—
980#123—216no—
981#123—216no—
982C22⋊Q8—24no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—24no—
986C22⋊Q8—24no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—216no—
990C22⋊Q8—24no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—28no—
1000C22⋊Q8—216no—
1001C22⋊Q8—216no—
1002C22⋊Q8—216no—
1003C22⋊Q8—44no—
1004C22⋊Q8—84no—
1005C22⋊Q8—84no—
1006C22⋊Q8—84no—
1007#121—28no—
1008#121—24no—
1009#121—28no—
1010#121—28no—
1011#121—28no—
1012#121—216no—
1013#121—24no—
1014#121—24no—
1015#121—28no—
1016#121—28no—
1017#121—216no—
1018#121—44no—
1019#121—44no—
1020#121—44no—
1021#121—84no—
1022#121—84no—
1023#121—84no—
1024C4×Q8—28no—
1025C4×Q8—24no—
1026C4×Q8—24no—
1027C4×Q8—24no—
1028C4×Q8—24no—
1029C4×Q8—28no—
1030C4×Q8—28no—
1031C4×Q8—24no—
1032C4×Q8—28no—
1033C4×Q8—44no—
1034C4×Q8—44no—
1035C4×Q8C2×D418yes—
1036C4×Q8C2×D418yes—
1037C4×Q8C2×D4116yes—
1038C4×Q8C2×D418yes—
1039C4×Q8C2×D4116yes—
1040C4×Q8C2×D418yes—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—216no—
1049C4×D4—28no—
1050C4×D4—216no—
1051C4×D4—24no—
1052C4×D4—24no—
1053C4×D4—24no—
1054C4×D4—24no—
1055C4×D4—28no—
1056C4×D4—216no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—24no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—44no—
1065C4×D4—44no—
1066C4×D4—84no—
1067C4×D4—84no—
1068#117—24no—
1069#117—24no—
1070#117—28no—
1071#117—24no—
1072#117—24no—
1073#117—28no—
1074#117—216no—
1075#117—28no—
1076#117—28no—
1077#117—28no—
1078#117—28no—
1079C2×C4⋊C4—28no—
1080C2×C4⋊C4—216no—
1081C2×C4⋊C4C2×D418yes—
1082C2×C4⋊C4C2×D4116yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C42—24no—
1220C2×C42—24no—
1221C2×C42—28no—
1222C2×C42C2×D418yes—
1223C2×C42C2×D4116yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2412yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2411yescharacteristic
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2414yes—
1232C2×C42C2412yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2414yes—
1238C2×C42C2414yes—
1239C2×C42C2414yes—
1240C2×C42C2414yes—
1241C2×C42C2414yes—
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2411yescharacteristic
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250#95C2412yes—
1251#95C2411yescharacteristic
1252#95C2412yes—
1253#95C2412yes—
1254#95C2411yescharacteristic
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2411yescharacteristic
1285#95C2411yescharacteristic
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300C24C2511yescharacteristic
1301C24C2511yescharacteristic
1302C24C2512yes—
1303C24C2512yes—
1304C24C2514yes—
1305C24C2511yescharacteristic
1306#41—416no—
1307#41—416no—
1308#41—432no—
1309#41—816no—
1310#41—832no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—24no—
1317C2×Q8—28no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—22no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—22no—
1324C2×Q8—42no—
1325C2×Q8—42no—
1326C2×Q8—42no—
1327C2×Q8—41no—
1328C2×Q8—41no—
1329C2×Q8—44no—
1330C2×Q8—44no—
1331C2×Q8—44no—
1332C2×Q8—44no—
1333C2×Q8—44no—
1334C2×Q8—416no—
1335C2×Q8C22×D414yes—
1336C2×Q8C22×D414yes—
1337C2×Q8C22×D418yes—
1338C2×D4—24no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—24no—
1342C2×D4—28no—
1343C2×D4—22no—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—28no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—28no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—22no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—42no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—42no—
1388C2×D4—44no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—28no—
1408C22×C4—24no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—28no—
1419C22×C4—28no—
1420C22×C4—28no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—44no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—42no—
1432C22×C4—44no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4C22×D414yes—
1443C22×C4C22×D414yes—
1444C22×C4C22×D414yes—
1445C22×C4C22×D418yes—
1446C22×C4C22×D418yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2514yes—
1450C22×C4C2512yes—
1451C22×C4C2514yes—
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2512yes—
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2514yes—
1462C22×C4C2512yes—
1463C22×C4C2511yescharacteristic
1464C22×C4C2511yescharacteristic
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2512yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2512yes—
1472C22×C4C2511yescharacteristic
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2511yescharacteristic
1476C4⋊C4—24no—
1477C4⋊C4—28no—
1478C4⋊C4—28no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—22no—
1488C4⋊C4—24no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—28no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—28no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—42no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—42no—
1530C4⋊C4—44no—
1531C4⋊C4—42no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—42no—
1535C4⋊C4C22×D414yes—
1536C4⋊C4C22×D418yes—
1537C4⋊C4C22×D414yes—
1538C4⋊C4C22×D418yes—
1539C4⋊C4C22×D418yes—
1540C4⋊C4C22×D418yes—
1541C4⋊C4C22×D418yes—
1542C22⋊C4—22no—
1543C22⋊C4—22no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—28no—
1548C22⋊C4—24no—
1549C22⋊C4—28no—
1550C22⋊C4—24no—
1551C22⋊C4—22no—
1552C22⋊C4—22no—
1553C22⋊C4—24no—
1554C22⋊C4—22no—
1555C22⋊C4—22no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—28no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—28no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—42no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—44no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—42no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C42—22no—
1613C42—22no—
1614C42—24no—
1615C42—24no—
1616C42—22no—
1617C42—22no—
1618C42—22no—
1619C42—22no—
1620C42—24no—
1621C42—28no—
1622C42—24no—
1623C42—24no—
1624C42—24no—
1625C42—44no—
1626C42—44no—
1627C42—44no—
1628C42—44no—
1629C42—44no—
1630C42C22×D414yes—
1631C42C22×D414yes—
1632C42C22×D418yes—
1633C42C22×D414yes—
1634C42C22×D414yes—
1635C42C22×D418yes—
1636C42C22×D418yes—
1637C42C22×D418yes—
1638C23—21no—
1639C23—21no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—21no—
1644C23—21no—
1645C23—22no—
1646C23—24no—
1647C23—22no—
1648C23—24no—
1649C23—21no—
1650C23—21no—
1651C23—22no—
1652C23—22no—
1653C23—24no—
1654C23—21no—
1655C23—21no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—24no—
1661C23—24no—
1662C23—24no—
1663C23—22no—
1664C23—22no—
1665C23—24no—
1666C23—22no—
1667C23—22no—
1668C23—24no—
1669C23—24no—
1670C23—22no—
1671C23C23×D412yes—
1672C23C2611yescharacteristic
1673Q8—28no—
1674Q8—28no—
1675Q8—48no—
1676Q8—44no—
1677Q8—44no—
1678Q8—44no—
1679Q8—84no—
1680Q8—84no—
1681Q8—84no—
1682Q8—88no—
1683D4—48no—
1684D4—44no—
1685D4—44no—
1686D4—416no—
1687D4—44no—
1688D4—44no—
1689D4—48no—
1690D4—48no—
1691D4—416no—
1692D4—44no—
1693D4—48no—
1694D4—84no—
1695D4—84no—
1696D4—84no—
1697D4—88no—
1698D4—88no—
1699D4—84no—
1700D4—84no—
1701D4—88no—
1702D4—164no—
1703D4—164no—
1704D4—164no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—28no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—24no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—44no—
1770C2×C4—48no—
1771C2×C4—44no—
1772C2×C4—48no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—48no—
1776C2×C4—48no—
1777C2×C4—416no—
1778C2×C4—48no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—82no—
1782C2×C4—82no—
1783C2×C4—84no—
1784C2×C4—88no—
1785C2×C4—88no—
1786C2×C4—88no—
1787C2×C4C23×D412yes—
1788C2×C4C23×D412yes—
1789C2×C4C23×D414yes—
1790C2×C4C23×D412yes—
1791C2×C4C23×D412yes—
1792C2×C4C23×D412yes—
1793C2×C4C23×D414yes—
1794C2×C4C23×D414yes—
1795C2×C4C23×D414yes—
1796C2×C4C23×D412yes—
1797C2×C4#58512yes—
1798C2×C4#58512yes—
1799C22—22no—
1800C22—22no—
1801C22—22no—
1802C22—42no—
1803C22—42no—
1804C22—41no—
1805C22—41no—
1806C22—42no—
1807C22—44no—
1808C22—42no—
1809C22—42no—
1810C22—44no—
1811C22—41no—
1812C22—41no—
1813C22—42no—
1814C22—42no—
1815C22—44no—
1816C22—42no—
1817C22—42no—
1818C22—44no—
1819C22—44no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—44no—
1824C22—42no—
1825C22—44no—
1826C22—44no—
1827C22—42no—
1828C22—44no—
1829C22—42no—
1830C22—42no—
1831C22—41no—
1832C22—41no—
1833C22C24×D411yescharacteristic
1834C22C2×#58511yescharacteristic
1835C22C2×#58511yescharacteristic
1836C22H(7,𝔽2)12yes—
1837C222−1+612yes—
1838C4—22no—
1839C4—22no—
1840C4—22no—
1841C4—24no—
1842C4—22no—
1843C4—24no—
1844C4—22no—
1845C4—24no—
1846C4—24no—
1847C4—42no—
1848C4—41no—
1849C4—41no—
1850C4—42no—
1851C4—42no—
1852C4—44no—
1853C4—41no—
1854C4—41no—
1855C4—42no—
1856C4—44no—
1857C4—42no—
1858C4—42no—
1859C4—42no—
1860C4—42no—
1861C4—44no—
1862C4—42no—
1863C4—41no—
1864C4—41no—
1865C4—42no—
1866C4#344914yes—
1867C2—42no—
1868C2—81no—
1869C2—81no—
1870C2—82no—
1871C2—84no—
1872C2—82no—
1873C2C2×#344911yescharacteristic
1874C2#6284811yescharacteristic
1875C2#6285211yescharacteristic
1876C2#6288212yes—
1877C2#6288412yes—
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×#3522C2semidirect
2. C2×#3461C2semidirect
3. #42881C2semidirect
4. #42880C2semidirect
5. #42877C2semidirect
6. #42876C2semidirect
7. #42797C2semidirect
8. #42796C2semidirect
9. #42794C2semidirect
10. #42793C2semidirect
11. #42790C2semidirect
12. #42789C2semidirect
13. #42423C2semidirect
14. #42421C2semidirect
15. #42389C2semidirect
16. #42388C2semidirect
17. #41957C2semidirect
18. #41956C2semidirect
19. #40499C2semidirect
20. #40497C2semidirect
21. #37550C2semidirect
22. #37544C2semidirect
23. #37543C2semidirect
24. #37541C2semidirect
25. #37260C2semidirect
26. #37189C2semidirect
27. #35573C2semidirect
28. #35572C2semidirect
29. #35526C2semidirect
30. #35525C2semidirect
31. #35210C2semidirect
32. #35190C2semidirect
33. #34636C2semidirect
34. #34609C2semidirect
35. #34192C2semidirect
450. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35222
C2×#34612
#428812
#428802
#428772
#428762
#427972
#427962
#427942
#427932
#427902
#427892
#424232
#424212
#423892
#423882
#419572
#419562
#404992
#404972
#375502
#375442
#375432
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