Finite Group Databasebeta

← #7656369

Subgroups — #7656369

Order 512.

6621 conjugacy classes of subgroups.

The subgroup lattice has 1837 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3507C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#42890C211yesmaximal, characteristic, complemented
4#42886C211yesmaximal, characteristic, complemented
5#42815C211yesmaximal, characteristic, complemented
6#42811C211yesmaximal, characteristic, complemented
7#42797C212yesmaximal, complemented
8#42787C212yesmaximal, complemented
9#42175C212yesmaximal, complemented
10#42170C212yesmaximal, complemented
11#41991C212yesmaximal, complemented
12#41988C212yesmaximal, complemented
13#41379C214yesmaximal, complemented
14#40499C214yesmaximal, complemented
15#39882C212yesmaximal, complemented
16#39879C212yesmaximal, complemented
17#38378C214yesmaximal, complemented
18#38374C214yesmaximal, complemented
19#37551C211yesmaximal, characteristic, complemented
20#37544C211yesmaximal, characteristic, complemented
21#37543C212yesmaximal, complemented
22#37541C212yesmaximal, complemented
23#36233C212yesmaximal, complemented
24#36229C212yesmaximal, complemented
25#35956C211yesmaximal, characteristic, complemented
26#35949C211yesmaximal, characteristic, complemented
27#35938C211yesmaximal, characteristic, complemented
28#35853C211yesmaximal, characteristic, complemented
29#35802C212yesmaximal, complemented
30#35715C212yesmaximal, complemented
31#35210C212yesmaximal, complemented
32#35190C211yesmaximal, characteristic, complemented
33#34636C212yesmaximal, complemented
34#34627C211yesmaximal, characteristic, complemented
35#34192C211yesmaximal, characteristic, complemented
36#3507—216no—
37#3482—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2211yescharacteristic
40C2×#557C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#557C2211yescharacteristic
43C2×#556C2212yes—
44C2×#556C2212yes—
45C2×#556C2212yes—
46C2×#556C2212yes—
47C2×#556C2211yescharacteristic
48C2×#554C2212yes—
49C2×#552C2212yes—
50C2×#552C2211yescharacteristic
51C2×#552C2214yes—
52C2×#552C2212yes—
53C2×#552C2211yescharacteristic
54C2×D4×Q8C2211yescharacteristic
55C2×#548C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#547C2212yes—
58C2×#547C2211yescharacteristic
59C2×#539C2214yes—
60C2×#536C2212yes—
61C2×#533C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#533C2212yes—
64C2×#532C2211yescharacteristic
65C2×#529C2212yes—
66C2×#529C2212yes—
67C2×#529C2212yes—
68C2×#529C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2212yes—
71C2×#520C2212yes—
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2212yes—
74C2×C4×#41C2211yescharacteristic
75C22×C4×Q8C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2852C2214yes—
78#2852C2214yes—
79#2850C2212yes—
80#2850C2212yes—
81#2822C2212yes—
82#2821C2212yes—
83#2821C2212yes—
84#2820C2212yes—
85#2820C2212yes—
86#2819C2212yes—
87#2814C2214yes—
88#2813C2214yes—
89#2813C2214yes—
90#2732C2214yes—
91#2732C2214yes—
92#2730C2214yes—
93#2730C2214yes—
94#2729C2214yes—
95#2729C2214yes—
96#2728C2214yes—
97#2728C2214yes—
98#2727C2214yes—
99#2725C2214yes—
100#2720C2214yes—
101#2719C2214yes—
102#2713C2214yes—
103#2711C2214yes—
104#2705C2214yes—
105#2704C2214yes—
106#2702C2214yes—
107#2702C2214yes—
108#2696C2214yes—
109#2694C2214yes—
110#2683C2214yes—
111#2681C2214yes—
112#2674C2214yes—
113#2673C2214yes—
114#2664C2212yes—
115#2664C2212yes—
116#2663C2214yes—
117#2663C2214yes—
118#2662C2212yes—
119#2662C2212yes—
120#2661C2214yes—
121#2658C2211yescharacteristic
122#2657C2211yescharacteristic
123#2642C2211yescharacteristic
124#2641C2211yescharacteristic
125#2638C2211yescharacteristic
126#2638C2211yescharacteristic
127#2638C2211yescharacteristic
128#2638C2211yescharacteristic
129#2638C2212yes—
130#2638C2212yes—
131#2637C2214yes—
132#2636C2212yes—
133#2636C2212yes—
134#2636C2214yes—
135#2635C2212yes—
136#2635C2212yes—
137#2635C2212yes—
138#2635C2212yes—
139#2634C2212yes—
140#2634C2212yes—
141#2634C2212yes—
142#2633C2212yes—
143#2633C2212yes—
144#2633C2212yes—
145#2632C2212yes—
146#2632C2212yes—
147#2631C2212yes—
148#2631C2212yes—
149#2630C2214yes—
150#2630C2214yes—
151#2630C2214yes—
152#2630C2214yes—
153#2628C2211yescharacteristic
154#2628C2211yescharacteristic
155#2625C2212yes—
156#2625C2212yes—
157#2624C2212yes—
158#2621C2211yescharacteristic
159#2621C2211yescharacteristic
160#2616C2212yes—
161#2611C2212yes—
162#2611C2212yes—
163#2611C2214yes—
164#2610C2212yes—
165#2610C2212yes—
166#2609C2214yes—
167#2609C2214yes—
168#2604C2212yes—
169#2604C2212yes—
170#2604C2214yes—
171#2603C2212yes—
172#2603C2212yes—
173#2603C2214yes—
174#2602C2214yes—
175#2602C2214yes—
176#2602C2214yes—
177#2602C2214yes—
178#2601C2214yes—
179#2601C2214yes—
180#2599C2214yes—
181#2598C2212yes—
182#2598C2212yes—
183#2598C2214yes—
184#2598C2214yes—
185#2592C2211yescharacteristic
186#2592C2211yescharacteristic
187#2584C2211yescharacteristic
188#2584C2211yescharacteristic
189#2581C2212yes—
190#2581C2212yes—
191#2580C2212yes—
192#2580C2212yes—
193#2568C2211yescharacteristic
194#2558C2214yes—
195#2558C2214yes—
196#2556C2214yes—
197#2554C2214yes—
198#2548C2212yes—
199#2548C2211yescharacteristic
200#2546C2212yes—
201#2545C2212yes—
202#2545C2212yes—
203#2545C2212yes—
204#2544C2212yes—
205#2542C2211yescharacteristic
206#2541C2211yescharacteristic
207#2536C2212yes—
208#2535C2212yes—
209#2519C2214yes—
210#2506C2214yes—
211#2500C2212yes—
212#2485C2214yes—
213#2481C2214yes—
214#2481C2214yes—
215#2479C2214yes—
216#2479C2214yes—
217#2477C2214yes—
218#2477C2214yes—
219#2475C2214yes—
220#2473C2214yes—
221#2471C2214yes—
222#2469C2214yes—
223#2467C2214yes—
224#2465C2214yes—
225#2463C2214yes—
226#2461C2214yes—
227#2454C2212yes—
228#2453C2212yes—
229#2452C2212yes—
230#2451C2212yes—
231#2449C2214yes—
232#2449C2214yes—
233#2448C2212yes—
234#2448C2212yes—
235#2446C2212yes—
236#2446C2212yes—
237#2445C2214yes—
238#2443C2214yes—
239#2436C2212yes—
240#2434C2212yes—
241#2432C2212yes—
242#2432C2212yes—
243#2431C2212yes—
244#2431C2212yes—
245#2431C2212yes—
246#2429C2212yes—
247#2429C2212yes—
248#2429C2212yes—
249#2428C2212yes—
250#2427C2212yes—
251#2426C2212yes—
252#2426C2212yes—
253#2426C2212yes—
254#2407C2212yes—
255#2407C2212yes—
256#2407C2214yes—
257#2399C2211yescharacteristic
258#2399C2211yescharacteristic
259#2398C2211yescharacteristic
260#2398C2211yescharacteristic
261#2396C2212yes—
262#2396C2212yes—
263#2395C2212yes—
264#2395C2212yes—
265#2395C2214yes—
266#2392C2212yes—
267#2392C2212yes—
268#2388C2214yes—
269#2367C2212yes—
270#2367C2212yes—
271#2366C2212yes—
272#2365C2212yes—
273#2363C2212yes—
274#2362C2212yes—
275#2361C2212yes—
276#2360C2212yes—
277#2356C2212yes—
278#2356C2214yes—
279#2351C2212yes—
280#2345C2214yes—
281#2345C2212yes—
282Q8×C22⋊C4C2212yes—
283#2328C2212yes—
284#2326C2212yes—
285#2324C2214yes—
286#2323C2214yes—
287#2320C2212yes—
288#2320C2212yes—
289#2320C2211yescharacteristic
290#2320C2211yescharacteristic
291C4×C22⋊Q8C2212yes—
292C4×C22⋊Q8C2212yes—
293#2290C2214yes—
294#2290C2214yes—
295#2283C2211yescharacteristic
296#2283C2212yes—
297#2283C2211yescharacteristic
298#2283C2212yes—
299#2276C2211yescharacteristic
300#2276C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307#559—28no—
308#559—28no—
309#557—28no—
310#557—28no—
311#557—28no—
312#556—216no—
313#556—28no—
314#556—216no—
315#556—216no—
316#556—216no—
317#554—216no—
318#552—216no—
319#552—28no—
320#552—232no—
321#552—28no—
322#552—216no—
323D4×Q8—28no—
324#548—28no—
325#548—28no—
326#547—28no—
327#547—216no—
328#539—232no—
329#536—216no—
330#533—216no—
331#533—28no—
332#533—28no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×#127C2311yescharacteristic
345C2×#127C2312yes—
346C2×#127C2312yes—
347#529—216no—
348#529—28no—
349#529—216no—
350#529—28no—
351#529—216no—
352#529—216no—
353C2×#126C2312yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2314yes—
362C2×#126C2314yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2311yescharacteristic
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2311yescharacteristic
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2314yes—
374C2×#125C2314yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2311yescharacteristic
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2311yescharacteristic
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429#520—216no—
430C4×#41—28no—
431C4×#41—216no—
432C4×#41—28no—
433C2×C4×Q8—28no—
434C2×C4×Q8D4116yescomplemented
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2314yes—
485C2×#117C2314yes—
486C2×#117C2312yes—
487C2×#117C2311yescharacteristic
488C2×#117C2311yescharacteristic
489C2×#117C2314yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2311yescharacteristic
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2314yes—
500C22×C4⋊C4C2311yescharacteristic
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2314yes—
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C42C2311yescharacteristic
506C22×C42C2311yescharacteristic
507C22×C42C2312yes—
508C22×C42C2312yes—
509C22×C42C2312yes—
510C22×C42C2311yescharacteristic
511#400C2314yes—
512#400C2314yes—
513#400C2312yes—
514#400C2312yes—
515#400C2314yes—
516#400C2312yes—
517#400C2314yes—
518#400C2314yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2314yes—
525#399C2312yes—
526#399C2312yes—
527#399C2314yes—
528#399C2314yes—
529#399C2314yes—
530#399C2312yes—
531#399C2314yes—
532#399C2314yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2314yes—
537#398C2312yes—
538#398C2312yes—
539#398C2314yes—
540#398C2311yescharacteristic
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2311yescharacteristic
548#398C2311yescharacteristic
549#398C2311yescharacteristic
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#397C2311yescharacteristic
558#397C2312yes—
559#397C2314yes—
560#397C2312yes—
561#397C2314yes—
562#397C2312yes—
563#397C2312yes—
564#397C2314yes—
565#397C2314yes—
566#397C2311yescharacteristic
567#397C2311yescharacteristic
568#397C2311yescharacteristic
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2314yes—
573#397C2312yes—
574#397C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#395C2311yescharacteristic
590#395C2312yes—
591#395C2314yes—
592#395C2312yes—
593#395C2314yes—
594#395C2311yescharacteristic
595#395C2314yes—
596#395C2312yes—
597#395C2312yes—
598#395C2311yescharacteristic
599#395C2311yescharacteristic
600#395C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2312yes—
604#394C2314yes—
605#394C2312yes—
606#394C2312yes—
607#394C2314yes—
608#394C2312yes—
609#394C2312yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2312yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#393C2311yescharacteristic
630#393C2312yes—
631#393C2314yes—
632#393C2312yes—
633#393C2314yes—
634#393C2311yescharacteristic
635#393C2314yes—
636#393C2311yescharacteristic
637#393C2311yescharacteristic
638#393C2314yes—
639#392C2312yes—
640#392C2314yes—
641#392C2312yes—
642#392C2312yes—
643#392C2314yes—
644#392C2314yes—
645#392C2314yes—
646#392C2314yes—
647#392C2314yes—
648#392C2314yes—
649#392C2312yes—
650#392C2314yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2314yes—
657#391C2314yes—
658#391C2314yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#390C2314yes—
666#390C2314yes—
667#390C2314yes—
668#390C2312yes—
669#390C2312yes—
670#390C2312yes—
671#390C2312yes—
672#390C2312yes—
673#390C2312yes—
674#390C2312yes—
675#390C2314yes—
676#390C2314yes—
677#390C2314yes—
678#390C2314yes—
679#390C2312yes—
680#390C2312yes—
681#389C2314yes—
682#389C2312yes—
683#389C2312yes—
684#389C2314yes—
685#389C2314yes—
686#389C2314yes—
687#389C2314yes—
688#389C2314yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2312yes—
693#389C2314yes—
694#389C2314yes—
695#389C2314yes—
696#389C2314yes—
697#389C2314yes—
698#389C2314yes—
699#389C2312yes—
700#389C2312yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
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#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2312yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2312yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2312yes—
750#387C2314yes—
751#387C2314yes—
752#387C2312yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#385C2312yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2312yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2312yes—
790#385C2314yes—
791#385C2314yes—
792#385C2312yes—
793#384C2312yes—
794#383C2312yes—
795#383C2312yes—
796#383C2312yes—
797#383C2314yes—
798#383C2312yes—
799#382C2312yes—
800#382C2312yes—
801#382C2312yes—
802#382C2311yescharacteristic
803#382C2311yescharacteristic
804#382C2312yes—
805#382C2314yes—
806#381C2311yescharacteristic
807#381C2312yes—
808#381C2311yescharacteristic
809#380C2314yes—
810#380C2314yes—
811#380C2312yes—
812#380C2314yes—
813#380C2312yes—
814#380C2314yes—
815#380C2312yes—
816#380C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845#376C2312yes—
846#376C2312yes—
847#376C2311yescharacteristic
848#376C2311yescharacteristic
849#376C2312yes—
850#376C2314yes—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—44no—
856C2×#41—42no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—42no—
862C22×Q8—24no—
863C22×Q8—44no—
864C22×Q8—44no—
865C22×Q8C2×D418yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2414yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C4⋊Q8—24no—
912C4⋊Q8—28no—
913C4⋊Q8—28no—
914C4⋊Q8—28no—
915C4⋊Q8—24no—
916C4⋊Q8—28no—
917C4⋊Q8—24no—
918C4⋊Q8—24no—
919C4⋊Q8—24no—
920C4⋊Q8—44no—
921#127—24no—
922#127—44no—
923#127—44no—
924#126—28no—
925#126—28no—
926#126—28no—
927#126—216no—
928#126—216no—
929#126—216no—
930#126—216no—
931#126—28no—
932#126—28no—
933#126—28no—
934#125—24no—
935#125—28no—
936#125—28no—
937#125—28no—
938#125—28no—
939#125—216no—
940#125—216no—
941#125—28no—
942#125—24no—
943#125—28no—
944#125—28no—
945#125—28no—
946#124—24no—
947#124—28no—
948#124—28no—
949#124—28no—
950#124—28no—
951#124—24no—
952#124—28no—
953#124—28no—
954#124—28no—
955#124—44no—
956#124—44no—
957#124—44no—
958#123—216no—
959#123—216no—
960#123—28no—
961#123—28no—
962#123—28no—
963#123—28no—
964#123—28no—
965#123—28no—
966#123—216no—
967#123—216no—
968C22⋊Q8—24no—
969C22⋊Q8—28no—
970C22⋊Q8—24no—
971C22⋊Q8—28no—
972C22⋊Q8—216no—
973C22⋊Q8—216no—
974C22⋊Q8—24no—
975C22⋊Q8—24no—
976C22⋊Q8—24no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—24no—
983C22⋊Q8—28no—
984C22⋊Q8—216no—
985C22⋊Q8—216no—
986C22⋊Q8—44no—
987C22⋊Q8—48no—
988C22⋊Q8—44no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991#121—28no—
992#121—24no—
993#121—28no—
994#121—28no—
995#121—24no—
996#121—28no—
997#121—48no—
998#121—44no—
999#121—44no—
1000C4×Q8—24no—
1001C4×Q8—24no—
1002C4×Q8—24no—
1003C4×Q8—28no—
1004C4×Q8—28no—
1005C4×Q8—28no—
1006C4×Q8—28no—
1007C4×Q8—24no—
1008C4×Q8—28no—
1009C4×Q8—24no—
1010C4×Q8—28no—
1011C4×Q8—24no—
1012C4×Q8—28no—
1013C4×Q8—28no—
1014C4×Q8—28no—
1015C4×Q8—24no—
1016C4×Q8—24no—
1017C4×Q8—44no—
1018C4×Q8—44no—
1019C4×Q8C2×D418yes—
1020C4×Q8C2×D4116yes—
1021C4×Q8C2×D418yes—
1022C4×Q8C2×D418yes—
1023C4×Q8C2×D4116yes—
1024C4×Q8C2×D418yes—
1025C4×D4—24no—
1026C4×D4—28no—
1027C4×D4—24no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—24no—
1031C4×D4—28no—
1032C4×D4—216no—
1033C4×D4—216no—
1034C4×D4—24no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—24no—
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—24no—
1054#117—28no—
1055#117—216no—
1056#117—24no—
1057#117—28no—
1058#117—24no—
1059#117—28no—
1060#117—28no—
1061#117—28no—
1062#117—28no—
1063#117—216no—
1064#117—216no—
1065C2×C4⋊C4—24no—
1066C2×C4⋊C4—28no—
1067C2×C4⋊C4—216no—
1068C2×C4⋊C4C2×D418yes—
1069C2×C4⋊C4C2×D4116yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C42—28no—
1203C2×C42—24no—
1204C2×C42—28no—
1205C2×C42—24no—
1206C2×C42C2×D4116yes—
1207C2×C42C2×D418yes—
1208C2×C42C2412yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2412yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2414yes—
1213C2×C42C2414yes—
1214C2×C42C2412yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2411yescharacteristic
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2412yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2414yes—
1226C2×C42C2414yes—
1227C2×C42C2414yes—
1228C2×C42C2414yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2414yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2411yescharacteristic
1249#95C2412yes—
1250#95C2411yescharacteristic
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294C24C2514yes—
1295C24C2511yescharacteristic
1296C24C2512yes—
1297C24C2511yescharacteristic
1298C24C2511yescharacteristic
1299#41—432no—
1300#41—432no—
1301#41—416no—
1302#41—416no—
1303C2×Q8—22no—
1304C2×Q8—22no—
1305C2×Q8—24no—
1306C2×Q8—22no—
1307C2×Q8—24no—
1308C2×Q8—22no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—24no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—22no—
1317C2×Q8—24no—
1318C2×Q8—44no—
1319C2×Q8—44no—
1320C2×Q8—42no—
1321C2×Q8—42no—
1322C2×Q8—41no—
1323C2×Q8—42no—
1324C2×Q8—42no—
1325C2×Q8—42no—
1326C2×Q8—416no—
1327C2×Q8—416no—
1328C2×Q8C22×D414yes—
1329C2×Q8C22×D414yes—
1330C2×Q8C22×D418yes—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—24no—
1335C2×D4—28no—
1336C2×D4—24no—
1337C2×D4—22no—
1338C2×D4—28no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—22no—
1342C2×D4—24no—
1343C2×D4—22no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—44no—
1351C2×D4—41no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—41no—
1355C2×D4—44no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—41no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—24no—
1382C22×C4—22no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—28no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—22no—
1392C22×C4—28no—
1393C22×C4—28no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—42no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4C22×D414yes—
1416C22×C4C22×D414yes—
1417C22×C4C22×D418yes—
1418C22×C4C22×D414yes—
1419C22×C4C22×D418yes—
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2514yes—
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2514yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2514yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2512yes—
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—22no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—22no—
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—28no—
1475C4⋊C4—28no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—28no—
1489C4⋊C4—28no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—42no—
1496C4⋊C4—44no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
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⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—42no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4C22×D418yes—
1516C4⋊C4C22×D414yes—
1517C4⋊C4C22×D418yes—
1518C4⋊C4C22×D414yes—
1519C4⋊C4C22×D418yes—
1520C4⋊C4C22×D418yes—
1521C4⋊C4C22×D418yes—
1522C22⋊C4—22no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—22no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—22no—
1530C22⋊C4—28no—
1531C22⋊C4—24no—
1532C22⋊C4—22no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—28no—
1537C22⋊C4—28no—
1538C22⋊C4—24no—
1539C22⋊C4—22no—
1540C22⋊C4—22no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—28no—
1549C22⋊C4—28no—
1550C22⋊C4—28no—
1551C22⋊C4—28no—
1552C22⋊C4—28no—
1553C22⋊C4—28no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C42—22no—
1583C42—24no—
1584C42—22no—
1585C42—24no—
1586C42—22no—
1587C42—24no—
1588C42—22no—
1589C42—24no—
1590C42—22no—
1591C42—24no—
1592C42—22no—
1593C42—28no—
1594C42—28no—
1595C42—24no—
1596C42—24no—
1597C42—24no—
1598C42—24no—
1599C42—44no—
1600C42—44no—
1601C42—44no—
1602C42—44no—
1603C42—42no—
1604C42—42no—
1605C42C22×D418yes—
1606C42C22×D414yes—
1607C42C22×D418yes—
1608C42C22×D414yes—
1609C42C22×D414yes—
1610C42C22×D418yes—
1611C42C22×D418yes—
1612C42C22×D414yes—
1613C23—21no—
1614C23—22no—
1615C23—22no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—22no—
1620C23—22no—
1621C23—21no—
1622C23—22no—
1623C23—24no—
1624C23—24no—
1625C23—21no—
1626C23—24no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—24no—
1631C23—24no—
1632C23—24no—
1633C23—21no—
1634C23—22no—
1635C23—24no—
1636C23—24no—
1637C23—24no—
1638C23C23×D412yes—
1639C23#58512yes—
1640C23C2611yescharacteristic
1641Q8—28no—
1642Q8—28no—
1643Q8—48no—
1644Q8—48no—
1645Q8—44no—
1646Q8—44no—
1647Q8—44no—
1648Q8—48no—
1649Q8—44no—
1650Q8—48no—
1651Q8—84no—
1652D4—28no—
1653D4—48no—
1654D4—44no—
1655D4—48no—
1656D4—48no—
1657D4—44no—
1658D4—48no—
1659D4—416no—
1660D4—44no—
1661D4—48no—
1662D4—84no—
1663D4—88no—
1664D4—88no—
1665D4—164no—
1666D4—164no—
1667C2×C4—21no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—24no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—28no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—24no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—44no—
1735C2×C4—48no—
1736C2×C4—48no—
1737C2×C4—44no—
1738C2×C4—48no—
1739C2×C4—44no—
1740C2×C4—48no—
1741C2×C4—44no—
1742C2×C4—44no—
1743C2×C4—44no—
1744C2×C4—48no—
1745C2×C4—48no—
1746C2×C4—416no—
1747C2×C4—48no—
1748C2×C4—44no—
1749C2×C4—44no—
1750C2×C4—88no—
1751C2×C4—88no—
1752C2×C4C23×D412yes—
1753C2×C4C23×D414yes—
1754C2×C4C23×D412yes—
1755C2×C4C23×D414yes—
1756C2×C4C23×D414yes—
1757C2×C4C23×D412yes—
1758C2×C4C23×D414yes—
1759C2×C4C23×D412yes—
1760C2×C4C23×D412yes—
1761C2×C4C23×D412yes—
1762C2×C4#58512yes—
1763C2×C4#58514yes—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—24no—
1769C22—41no—
1770C22—41no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—41no—
1775C22—42no—
1776C22—44no—
1777C22—41no—
1778C22—42no—
1779C22—44no—
1780C22—42no—
1781C22—44no—
1782C22—41no—
1783C22—44no—
1784C22—42no—
1785C22—44no—
1786C22—44no—
1787C22—44no—
1788C22—44no—
1789C22—44no—
1790C22—42no—
1791C22C24×D411yescharacteristic
1792C22C2×#58511yescharacteristic
1793C22C2×#58511yescharacteristic
1794C22C2×#58512yes—
1795C222−1+612yes—
1796C4—24no—
1797C4—22no—
1798C4—22no—
1799C4—24no—
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—22no—
1804C4—24no—
1805C4—24no—
1806C4—41no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—41no—
1811C4—42no—
1812C4—41no—
1813C4—42no—
1814C4—42no—
1815C4—41no—
1816C4—44no—
1817C4—41no—
1818C4—42no—
1819C4—42no—
1820C4—44no—
1821C4—42no—
1822C4—42no—
1823C4—44no—
1824C4—42no—
1825C4#344914yes—
1826C2—42no—
1827C2—42no—
1828C2—81no—
1829C2—82no—
1830C2—84no—
1831C2C2×#344911yescharacteristic
1832C2#6281111yescharacteristic
1833C2#6284811yescharacteristic
1834C2#6296412yes—
1835C2#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×#3507C2semidirect
2. C2×#3482C2semidirect
3. #42890C2semidirect
4. #42886C2semidirect
5. #42815C2semidirect
6. #42811C2semidirect
7. #42797C2semidirect
8. #42787C2semidirect
9. #42175C2semidirect
10. #42170C2semidirect
11. #41991C2semidirect
12. #41988C2semidirect
13. #41379C2semidirect
14. #40499C2semidirect
15. #39882C2semidirect
16. #39879C2semidirect
17. #38378C2semidirect
18. #38374C2semidirect
19. #37551C2semidirect
20. #37544C2semidirect
21. #37543C2semidirect
22. #37541C2semidirect
23. #36233C2semidirect
24. #36229C2semidirect
25. #35956C2semidirect
26. #35949C2semidirect
27. #35938C2semidirect
28. #35853C2semidirect
29. #35802C2semidirect
30. #35715C2semidirect
31. #35210C2semidirect
32. #35190C2semidirect
33. #34636C2semidirect
34. #34627C2semidirect
35. #34192C2semidirect
434. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35072
C2×#34822
#428902
#428862
#428152
#428112
#427972
#427872
#421752
#421702
#419912
#419882
#413792
#404992
#398822
#398792
#383782
#383742
#375512
#375442
#375432
#375412
#362332
#362292
#359562
#359492
#359382
#358532
#358022
#357152
#352102
#351902
#346362
#346272
#341922