Finite Group Databasebeta

← #7655444

Subgroups — #7655444

Order 512.

6927 conjugacy classes of subgroups.

The subgroup lattice has 1883 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3480C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#42890C211yesmaximal, characteristic, complemented
4#42886C211yesmaximal, characteristic, complemented
5#42815C211yesmaximal, characteristic, complemented
6#42811C211yesmaximal, characteristic, complemented
7#41424C212yesmaximal, complemented
8#41420C212yesmaximal, complemented
9#40607C212yesmaximal, complemented
10#40603C212yesmaximal, complemented
11#39865C212yesmaximal, complemented
12#39864C212yesmaximal, complemented
13#39857C212yesmaximal, complemented
14#39853C212yesmaximal, complemented
15#39851C214yesmaximal, complemented
16#39850C214yesmaximal, complemented
17#38377C214yesmaximal, complemented
18#38373C214yesmaximal, complemented
19#37544C211yesmaximal, characteristic, complemented
20#37541C212yesmaximal, complemented
21#36443C212yesmaximal, complemented
22#36442C212yesmaximal, complemented
23#36233C212yesmaximal, complemented
24#36229C212yesmaximal, complemented
25#35959C211yesmaximal, characteristic, complemented
26#35941C211yesmaximal, characteristic, complemented
27#35930C211yesmaximal, characteristic, complemented
28#35856C211yesmaximal, characteristic, complemented
29#35190C211yesmaximal, characteristic, complemented
30#35144C212yesmaximal, complemented
31#35144C212yesmaximal, complemented
32#35111C211yesmaximal, characteristic, complemented
33#34971C211yesmaximal, characteristic, complemented
34#34909C212yesmaximal, complemented
35#34195C211yesmaximal, characteristic, complemented
36#3480—216no—
37#3480—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2211yescharacteristic
40C2×#559C2212yes—
41C2×#559C2212yes—
42C2×#557C2211yescharacteristic
43C2×#557C2211yescharacteristic
44C2×#556C2211yescharacteristic
45C2×#556C2211yescharacteristic
46C2×#556C2212yes—
47C2×#556C2212yes—
48C2×#553C2211yescharacteristic
49C2×#553C2211yescharacteristic
50C2×#553C2212yes—
51C2×#553C2212yes—
52C2×#553C2212yes—
53C2×#553C2214yes—
54C2×#550C2211yescharacteristic
55C2×#550C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#548C2212yes—
58C2×#548C2211yescharacteristic
59C2×#532C2211yescharacteristic
60C2×#532C2211yescharacteristic
61C2×#532C2212yes—
62C2×#532C2212yes—
63C2×#529C2211yescharacteristic
64C2×#529C2212yes—
65C2×#529C2212yes—
66C2×#529C2214yes—
67C2×#529C2211yescharacteristic
68C2×#529C2212yes—
69C2×C4×#41C2212yes—
70C2×C4×#41C2212yes—
71C2×C4×#41C2212yes—
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C22×C4×Q8C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2855C2212yes—
78#2854C2212yes—
79#2852C2214yes—
80#2852C2214yes—
81#2852C2214yes—
82#2852C2214yes—
83#2850C2212yes—
84#2850C2212yes—
85#2822C2212yes—
86#2820C2212yes—
87#2820C2212yes—
88#2819C2212yes—
89#2813C2212yes—
90#2813C2212yes—
91#2720C2214yes—
92#2719C2214yes—
93#2715C2214yes—
94#2713C2214yes—
95#2712C2214yes—
96#2711C2214yes—
97#2696C2214yes—
98#2695C2214yes—
99#2694C2214yes—
100#2693C2214yes—
101#2688C2214yes—
102#2688C2214yes—
103#2686C2214yes—
104#2686C2214yes—
105#2676C2214yes—
106#2674C2214yes—
107#2673C2214yes—
108#2673C2214yes—
109#2673C2214yes—
110#2672C2214yes—
111#2672C2214yes—
112#2671C2214yes—
113#2671C2214yes—
114#2671C2214yes—
115#2663C2212yes—
116#2663C2212yes—
117#2661C2212yes—
118#2661C2212yes—
119#2658C2211yescharacteristic
120#2657C2211yescharacteristic
121#2642C2211yescharacteristic
122#2641C2211yescharacteristic
123#2638C2214yes—
124#2636C2214yes—
125#2635C2212yes—
126#2635C2212yes—
127#2635C2214yes—
128#2635C2214yes—
129#2634C2212yes—
130#2634C2212yes—
131#2633C2212yes—
132#2633C2212yes—
133#2632C2212yes—
134#2632C2212yes—
135#2631C2212yes—
136#2631C2212yes—
137#2630C2214yes—
138#2630C2214yes—
139#2623C2212yes—
140#2614C2212yes—
141#2604C2214yes—
142#2604C2214yes—
143#2603C2214yes—
144#2601C2214yes—
145#2601C2214yes—
146#2600C2214yes—
147#2600C2214yes—
148#2599C2212yes—
149#2599C2212yes—
150#2599C2211yescharacteristic
151#2599C2211yescharacteristic
152#2599C2214yes—
153#2599C2214yes—
154#2599C2211yescharacteristic
155#2599C2211yescharacteristic
156#2598C2212yes—
157#2598C2214yes—
158#2598C2212yes—
159#2598C2212yes—
160#2598C2214yes—
161#2598C2212yes—
162#2592C2211yescharacteristic
163#2592C2211yescharacteristic
164#2584C2211yescharacteristic
165#2584C2211yescharacteristic
166#2581C2212yes—
167#2581C2212yes—
168#2581C2212yes—
169#2580C2212yes—
170#2580C2212yes—
171#2568C2211yescharacteristic
172#2564C2212yes—
173#2564C2212yes—
174#2564C2214yes—
175#2559C2214yes—
176#2559C2214yes—
177#2555C2214yes—
178#2553C2214yes—
179#2548C2211yescharacteristic
180#2547C2212yes—
181#2545C2212yes—
182#2544C2212yes—
183#2544C2212yes—
184#2544C2212yes—
185#2543C2212yes—
186#2543C2212yes—
187#2543C2214yes—
188#2542C2211yescharacteristic
189#2541C2212yes—
190#2541C2211yescharacteristic
191#2536C2212yes—
192#2536C2212yes—
193#2535C2212yes—
194#2521C2214yes—
195#2500C2212yes—
196#2498C2212yes—
197#2498C2212yes—
198#2498C2214yes—
199#2496C2214yes—
200#2486C2211yescharacteristic
201#2486C2211yescharacteristic
202#2485C2214yes—
203#2484C2212yes—
204#2481C2214yes—
205#2479C2214yes—
206#2477C2214yes—
207#2469C2214yes—
208#2468C2214yes—
209#2467C2214yes—
210#2466C2214yes—
211#2465C2214yes—
212#2464C2214yes—
213#2464C2214yes—
214#2463C2214yes—
215#2461C2214yes—
216#2459C2214yes—
217#2457C2214yes—
218#2456C2214yes—
219#2455C2214yes—
220#2454C2212yes—
221#2453C2212yes—
222#2452C2212yes—
223#2451C2212yes—
224#2449C2214yes—
225#2448C2212yes—
226#2448C2212yes—
227#2446C2212yes—
228#2446C2212yes—
229#2436C2212yes—
230#2434C2212yes—
231#2432C2212yes—
232#2432C2212yes—
233#2431C2212yes—
234#2431C2212yes—
235#2431C2212yes—
236#2430C2212yes—
237#2430C2212yes—
238#2430C2214yes—
239#2429C2212yes—
240#2428C2212yes—
241#2428C2214yes—
242#2428C2212yes—
243#2428C2212yes—
244#2427C2212yes—
245#2427C2212yes—
246#2427C2212yes—
247#2426C2212yes—
248#2409C2211yescharacteristic
249#2409C2211yescharacteristic
250#2407C2212yes—
251#2407C2212yes—
252#2407C2214yes—
253#2406C2212yes—
254#2399C2211yescharacteristic
255#2399C2211yescharacteristic
256#2398C2211yescharacteristic
257#2398C2211yescharacteristic
258#2395C2212yes—
259#2395C2212yes—
260#2388C2212yes—
261#2388C2212yes—
262#2367C2212yes—
263#2367C2212yes—
264#2366C2212yes—
265#2365C2212yes—
266#2363C2212yes—
267#2362C2212yes—
268#2361C2212yes—
269#2360C2212yes—
270#2356C2212yes—
271#2353C2214yes—
272#2349C2212yes—
273#2347C2212yes—
274#2343C2214yes—
275#2339C2212yes—
276#2328C2212yes—
277#2326C2212yes—
278#2325C2214yes—
279#2325C2214yes—
280#2325C2214yes—
281#2325C2214yes—
282#2322C2214yes—
283#2320C2211yescharacteristic
284#2320C2211yescharacteristic
285#2318C2212yes—
286#2318C2212yes—
287C4×C22⋊Q8C2214yes—
288C4×C22⋊Q8C2212yes—
289C4×C22⋊Q8C2212yes—
290C4×#123C2212yes—
291C4×#123C2212yes—
292C4×#121C2214yes—
293#2290C2214yes—
294#2290C2214yes—
295#2283C2211yescharacteristic
296#2283C2212yes—
297#2283C2211yescharacteristic
298C2×#383C2212yes—
299#2275C2211yescharacteristic
300#2275C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C23×Q8C2311yescharacteristic
308C23×Q8C2311yescharacteristic
309#559—28no—
310#559—216no—
311#559—216no—
312#559—28no—
313#557—28no—
314#557—28no—
315#556—216no—
316#556—28no—
317#556—28no—
318#556—216no—
319#553—216no—
320#553—232no—
321#553—216no—
322#553—28no—
323#553—28no—
324#553—216no—
325#550—28no—
326#550—28no—
327#548—28no—
328#548—28no—
329#548—216no—
330#532—216no—
331#532—216no—
332#532—28no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×#127C2311yescharacteristic
340C2×#127C2312yes—
341C2×#127C2312yes—
342C2×#127C2311yescharacteristic
343C2×#127C2312yes—
344C2×#127C2312yes—
345#529—216no—
346#529—28no—
347#529—232no—
348#529—28no—
349#529—216no—
350#529—216no—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2314yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2314yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#125C2311yescharacteristic
365C2×#125C2314yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#123C2312yes—
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2314yes—
386C2×#123C2312yes—
387C2×#123C2314yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×#121C2311yescharacteristic
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2311yescharacteristic
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C4×#41—28no—
429C4×#41—216no—
430C4×#41—28no—
431C4×#41—216no—
432C4×#41—216no—
433C4×#41D4116yescomplemented
434C2×C4×Q8—28no—
435C2×C4×Q8—28no—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×D4C2314yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×#117C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2311yescharacteristic
497C2×#117C2314yes—
498C2×#117C2314yes—
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2311yescharacteristic
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2311yescharacteristic
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C42C2311yescharacteristic
511C22×C42C2311yescharacteristic
512C22×C42C2312yes—
513C22×C42C2312yes—
514C22×C42C2314yes—
515C22×C42C2312yes—
516C22×C42C2311yescharacteristic
517C22×C42C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2314yes—
521#400C2312yes—
522#400C2312yes—
523#400C2314yes—
524#400C2314yes—
525#400C2312yes—
526#400C2312yes—
527#400C2314yes—
528#400C2314yes—
529#399C2312yes—
530#399C2312yes—
531#399C2314yes—
532#399C2312yes—
533#399C2312yes—
534#399C2314yes—
535#399C2314yes—
536#399C2314yes—
537#399C2314yes—
538#398C2311yescharacteristic
539#398C2312yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2312yes—
544#398C2311yescharacteristic
545#398C2314yes—
546#398C2311yescharacteristic
547#398C2314yes—
548#398C2311yescharacteristic
549#398C2312yes—
550#398C2312yes—
551#397C2311yescharacteristic
552#397C2312yes—
553#397C2314yes—
554#397C2312yes—
555#397C2311yescharacteristic
556#397C2314yes—
557#397C2311yescharacteristic
558#397C2314yes—
559#397C2311yescharacteristic
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#395C2311yescharacteristic
571#395C2312yes—
572#395C2314yes—
573#395C2311yescharacteristic
574#395C2314yes—
575#395C2311yescharacteristic
576#395C2312yes—
577#395C2314yes—
578#395C2312yes—
579#395C2312yes—
580#395C2311yescharacteristic
581#395C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2312yes—
585#394C2312yes—
586#394C2314yes—
587#394C2312yes—
588#394C2312yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2312yes—
607#394C2312yes—
608#393C2311yescharacteristic
609#393C2312yes—
610#393C2314yes—
611#393C2311yescharacteristic
612#393C2314yes—
613#393C2311yescharacteristic
614#393C2312yes—
615#393C2314yes—
616#393C2311yescharacteristic
617#393C2314yes—
618#392C2312yes—
619#392C2312yes—
620#392C2314yes—
621#392C2312yes—
622#392C2312yes—
623#392C2314yes—
624#392C2314yes—
625#392C2314yes—
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#391C2312yes—
635#391C2312yes—
636#391C2312yes—
637#391C2312yes—
638#391C2312yes—
639#391C2312yes—
640#391C2312yes—
641#391C2314yes—
642#391C2312yes—
643#391C2312yes—
644#391C2312yes—
645#391C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2314yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2314yes—
655#390C2314yes—
656#390C2312yes—
657#390C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2314yes—
661#389C2314yes—
662#389C2312yes—
663#389C2312yes—
664#389C2314yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2314yes—
669#389C2312yes—
670#389C2314yes—
671#389C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2312yes—
695#388C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#387C2312yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2312yes—
713#387C2312yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2312yes—
720#387C2312yes—
721#387C2314yes—
722#387C2314yes—
723#387C2312yes—
724#387C2314yes—
725#387C2314yes—
726#387C2312yes—
727#387C2312yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2312yes—
760#386C2312yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2312yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2312yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2312yes—
783#385C2312yes—
784#385C2312yes—
785#385C2312yes—
786#384C2312yes—
787#383C2312yes—
788#383C2312yes—
789#383C2314yes—
790#383C2314yes—
791#383C2311yescharacteristic
792#383C2312yes—
793#383C2311yescharacteristic
794#382C2312yes—
795#382C2312yes—
796#382C2312yes—
797#382C2312yes—
798#382C2312yes—
799#381C2312yes—
800#381C2314yes—
801#381C2314yes—
802#381C2312yes—
803#381C2312yes—
804#381C2312yes—
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2311yescharacteristic
810#380C2311yescharacteristic
811#380C2312yes—
812#380C2314yes—
813#380C2312yes—
814#380C2314yes—
815#380C2312yes—
816#380C2314yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843#376C2311yescharacteristic
844#376C2311yescharacteristic
845#376C2312yes—
846#376C2314yes—
847C2×#95C2312yes—
848C2×#95C2312yes—
849C2×#95C2314yes—
850C2×#95C2314yes—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—44no—
857C2×#41—42no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—42no—
863C2×#41—48no—
864C2×#41—44no—
865C2×#41C2×D418yes—
866C22×Q8—24no—
867C22×Q8—24no—
868C22×Q8—44no—
869C22×Q8—44no—
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×Q8C2412yes—
874C22×Q8C2412yes—
875C22×Q8C2411yescharacteristic
876C22×Q8C2411yescharacteristic
877C22×Q8C2411yescharacteristic
878C22×Q8C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2414yes—
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2411yescharacteristic
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2414yes—
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2414yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2414yes—
918C23×C4C2411yescharacteristic
919C23×C4C2414yes—
920C23×C4C2414yes—
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C4⋊Q8—28no—
927C4⋊Q8—24no—
928C4⋊Q8—28no—
929C4⋊Q8—24no—
930C4⋊Q8—44no—
931#127—28no—
932#127—24no—
933#127—28no—
934#127—24no—
935#127—44no—
936#127—44no—
937#126—216no—
938#126—28no—
939#126—28no—
940#126—28no—
941#126—216no—
942#126—28no—
943#126—28no—
944#126—216no—
945#126—28no—
946#125—216no—
947#125—24no—
948#125—28no—
949#125—28no—
950#125—28no—
951#125—24no—
952#124—28no—
953#124—24no—
954#124—28no—
955#124—28no—
956#124—216no—
957#124—28no—
958#124—28no—
959#124—28no—
960#124—28no—
961#124—28no—
962#124—24no—
963#124—28no—
964#124—44no—
965#124—44no—
966#124—44no—
967#123—28no—
968#123—216no—
969#123—28no—
970#123—28no—
971#123—216no—
972#123—216no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—44no—
977#123—48no—
978#123—44no—
979C22⋊Q8—24no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—216no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—44no—
986C22⋊Q8—44no—
987C22⋊Q8—48no—
988C22⋊Q8—44no—
989C22⋊Q8—44no—
990#121—24no—
991#121—28no—
992#121—24no—
993#121—28no—
994#121—216no—
995#121—216no—
996#121—24no—
997#121—28no—
998#121—28no—
999#121—28no—
1000#121—28no—
1001#121—24no—
1002#121—28no—
1003#121—216no—
1004#121—28no—
1005#121—28no—
1006#121—28no—
1007#121—48no—
1008#121—48no—
1009#121—48no—
1010#121—48no—
1011#121—48no—
1012#121—44no—
1013#121—44no—
1014C4×Q8—24no—
1015C4×Q8—24no—
1016C4×Q8—24no—
1017C4×Q8—28no—
1018C4×Q8—28no—
1019C4×Q8—28no—
1020C4×Q8—24no—
1021C4×Q8—28no—
1022C4×Q8—28no—
1023C4×Q8—24no—
1024C4×Q8—24no—
1025C4×Q8—24no—
1026C4×Q8—24no—
1027C4×Q8—28no—
1028C4×Q8—28no—
1029C4×Q8—28no—
1030C4×Q8—24no—
1031C4×Q8—28no—
1032C4×Q8—24no—
1033C4×Q8C2×D418yes—
1034C4×Q8C2×D418yes—
1035C4×D4—216no—
1036C4×D4—24no—
1037C4×D4—28no—
1038C4×D4—24no—
1039C4×D4—28no—
1040C4×D4—24no—
1041C4×D4—28no—
1042C4×D4—216no—
1043C4×D4—24no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—216no—
1049C4×D4—28no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—216no—
1054C4×D4—216no—
1055C4×D4—28no—
1056C4×D4—24no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—24no—
1060C4×D4—28no—
1061C4×D4—24no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—44no—
1065C4×D4—44no—
1066C4×D4—48no—
1067C4×D4—48no—
1068C4×D4C2×D4116yes—
1069C4×D4C2×D418yes—
1070C4×D4C2×D4116yes—
1071C4×D4C2×D418yes—
1072#117—24no—
1073#117—28no—
1074#117—28no—
1075#117—24no—
1076#117—28no—
1077#117—24no—
1078#117—216no—
1079#117—28no—
1080#117—24no—
1081#117—216no—
1082#117C2×D418yes—
1083#117C2×D4116yes—
1084C2×C4⋊C4—28no—
1085C2×C4⋊C4—24no—
1086C2×C4⋊C4—24no—
1087C2×C4⋊C4—28no—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2412yes—
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C42—28no—
1211C2×C42—28no—
1212C2×C42—24no—
1213C2×C42—28no—
1214C2×C42—24no—
1215C2×C42—216no—
1216C2×C42C2×D418yes—
1217C2×C42C2×D4116yes—
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2412yes—
1221C2×C42C2412yes—
1222C2×C42C2414yes—
1223C2×C42C2412yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2411yescharacteristic
1226C2×C42C2412yes—
1227C2×C42C2414yes—
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2412yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2414yes—
1238C2×C42C2414yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303C24C2514yes—
1304C24C2511yescharacteristic
1305C24C2512yes—
1306C24C2511yescharacteristic
1307C24C2512yes—
1308C24C2511yescharacteristic
1309#41—416no—
1310#41—432no—
1311#41—416no—
1312#41—432no—
1313#41—432no—
1314#41—416no—
1315C2×Q8—22no—
1316C2×Q8—24no—
1317C2×Q8—24no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—22no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—24no—
1327C2×Q8—24no—
1328C2×Q8—24no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—42no—
1332C2×Q8—42no—
1333C2×Q8—44no—
1334C2×Q8—41no—
1335C2×Q8—42no—
1336C2×Q8—416no—
1337C2×Q8—416no—
1338C2×Q8C22×D414yes—
1339C2×D4—24no—
1340C2×D4—22no—
1341C2×D4—28no—
1342C2×D4—28no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—28no—
1352C2×D4—24no—
1353C2×D4—28no—
1354C2×D4—24no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—28no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—41no—
1369C2×D4—42no—
1370C2×D4—41no—
1371C2×D4—42no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—41no—
1377C2×D4—44no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4C22×D414yes—
1399C2×D4C22×D418yes—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—28no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—28no—
1412C22×C4—24no—
1413C22×C4—22no—
1414C22×C4—28no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—22no—
1420C22×C4—24no—
1421C22×C4—22no—
1422C22×C4—28no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—44no—
1433C22×C4—41no—
1434C22×C4—44no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—44no—
1438C22×C4—41no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4C22×D414yes—
1455C22×C4C22×D414yes—
1456C22×C4C22×D414yes—
1457C22×C4C22×D418yes—
1458C22×C4C22×D418yes—
1459C22×C4C22×D418yes—
1460C22×C4C2512yes—
1461C22×C4C2514yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2514yes—
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2512yes—
1471C22×C4C2512yes—
1472C22×C4C2511yescharacteristic
1473C22×C4C2514yes—
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2512yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2512yes—
1488C22×C4C2511yescharacteristic
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—28no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—22no—
1511C4⋊C4—28no—
1512C4⋊C4—24no—
1513C4⋊C4—22no—
1514C4⋊C4—28no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—28no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—28no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—44no—
1536C4⋊C4—42no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—42no—
1541C4⋊C4—42no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4C22×D414yes—
1545C4⋊C4C22×D418yes—
1546C4⋊C4C22×D414yes—
1547C4⋊C4C22×D418yes—
1548C22⋊C4—24no—
1549C22⋊C4—22no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—22no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—24no—
1562C22⋊C4—22no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—28no—
1570C22⋊C4—24no—
1571C22⋊C4—22no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—28no—
1575C22⋊C4—24no—
1576C22⋊C4—28no—
1577C22⋊C4—24no—
1578C22⋊C4—28no—
1579C22⋊C4—24no—
1580C22⋊C4—28no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—42no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4C22×D418yes—
1609C22⋊C4C22×D418yes—
1610C22⋊C4C22×D418yes—
1611C42—22no—
1612C42—24no—
1613C42—24no—
1614C42—24no—
1615C42—22no—
1616C42—28no—
1617C42—24no—
1618C42—22no—
1619C42—28no—
1620C42—24no—
1621C42—22no—
1622C42—24no—
1623C42—22no—
1624C42—24no—
1625C42—24no—
1626C42—22no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—44no—
1631C42—44no—
1632C42—42no—
1633C42—42no—
1634C42C22×D418yes—
1635C42C22×D418yes—
1636C42C22×D414yes—
1637C42C22×D414yes—
1638C42C22×D414yes—
1639C42C22×D418yes—
1640C42C22×D414yes—
1641C23—21no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—21no—
1646C23—21no—
1647C23—24no—
1648C23—21no—
1649C23—22no—
1650C23—22no—
1651C23—24no—
1652C23—22no—
1653C23—24no—
1654C23—21no—
1655C23—22no—
1656C23—24no—
1657C23—24no—
1658C23—22no—
1659C23—21no—
1660C23—24no—
1661C23—24no—
1662C23—22no—
1663C23—22no—
1664C23—24no—
1665C23—24no—
1666C23—22no—
1667C23—24no—
1668C23—24no—
1669C23—21no—
1670C23C23×D414yes—
1671C23C23×D412yes—
1672C23#58512yes—
1673C23C2611yescharacteristic
1674Q8—28no—
1675Q8—28no—
1676Q8—48no—
1677Q8—48no—
1678Q8—44no—
1679Q8—44no—
1680Q8—48no—
1681Q8—44no—
1682Q8—48no—
1683D4—28no—
1684D4—48no—
1685D4—44no—
1686D4—48no—
1687D4—416no—
1688D4—48no—
1689D4—44no—
1690D4—48no—
1691D4—48no—
1692D4—44no—
1693D4—48no—
1694D4—416no—
1695D4—44no—
1696D4—48no—
1697D4—84no—
1698D4—88no—
1699D4—84no—
1700D4—84no—
1701D4—84no—
1702D4—88no—
1703D4—88no—
1704D4—164no—
1705D4—164no—
1706C2×C4—28no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—28no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—24no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—22no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—24no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—24no—
1770C2×C4—21no—
1771C2×C4—44no—
1772C2×C4—48no—
1773C2×C4—44no—
1774C2×C4—48no—
1775C2×C4—48no—
1776C2×C4—416no—
1777C2×C4—48no—
1778C2×C4—48no—
1779C2×C4—44no—
1780C2×C4—48no—
1781C2×C4—416no—
1782C2×C4—48no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—84no—
1786C2×C4—84no—
1787C2×C4—88no—
1788C2×C4—82no—
1789C2×C4—82no—
1790C2×C4—84no—
1791C2×C4—164no—
1792C2×C4—164no—
1793C2×C4C23×D412yes—
1794C2×C4C23×D412yes—
1795C2×C4C23×D414yes—
1796C2×C4C23×D412yes—
1797C2×C4C23×D414yes—
1798C2×C4C23×D414yes—
1799C2×C4C23×D412yes—
1800C2×C4C23×D412yes—
1801C2×C4C23×D412yes—
1802C2×C4#58514yes—
1803C2×C4#58512yes—
1804C2×C4#58514yes—
1805C22—24no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—24no—
1810C22—24no—
1811C22—22no—
1812C22—24no—
1813C22—44no—
1814C22—42no—
1815C22—44no—
1816C22—42no—
1817C22—42no—
1818C22—41no—
1819C22—41no—
1820C22—44no—
1821C22—44no—
1822C22—42no—
1823C22—44no—
1824C22—44no—
1825C22—44no—
1826C22—44no—
1827C22—42no—
1828C22—44no—
1829C22—41no—
1830C22—42no—
1831C22—42no—
1832C22—41no—
1833C22—44no—
1834C22—42no—
1835C22—44no—
1836C22—41no—
1837C22C24×D411yescharacteristic
1838C22C2×#58511yescharacteristic
1839C22C2×#58512yes—
1840C22C2×#58512yes—
1841C22C2×#58511yescharacteristic
1842C4—22no—
1843C4—22no—
1844C4—24no—
1845C4—22no—
1846C4—24no—
1847C4—24no—
1848C4—22no—
1849C4—22no—
1850C4—22no—
1851C4—24no—
1852C4—42no—
1853C4—44no—
1854C4—42no—
1855C4—42no—
1856C4—44no—
1857C4—42no—
1858C4—41no—
1859C4—42no—
1860C4—42no—
1861C4—41no—
1862C4—42no—
1863C4—42no—
1864C4—41no—
1865C4—42no—
1866C4—41no—
1867C4—44no—
1868C4—41no—
1869C4—42no—
1870C4#344914yes—
1871C2—42no—
1872C2—42no—
1873C2—44no—
1874C2—84no—
1875C2—82no—
1876C2—81no—
1877C2C2×#344911yescharacteristic
1878C2#6281111yescharacteristic
1879C2#6281111yescharacteristic
1880C2#6302912yes—
1881C2#6303612yes—
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×#3480C2semidirect
2. C2×#3480C2semidirect
3. #42890C2semidirect
4. #42886C2semidirect
5. #42815C2semidirect
6. #42811C2semidirect
7. #41424C2semidirect
8. #41420C2semidirect
9. #40607C2semidirect
10. #40603C2semidirect
11. #39865C2semidirect
12. #39864C2semidirect
13. #39857C2semidirect
14. #39853C2semidirect
15. #39851C2semidirect
16. #39850C2semidirect
17. #38377C2semidirect
18. #38373C2semidirect
19. #37544C2semidirect
20. #37541C2semidirect
21. #36443C2semidirect
22. #36442C2semidirect
23. #36233C2semidirect
24. #36229C2semidirect
25. #35959C2semidirect
26. #35941C2semidirect
27. #35930C2semidirect
28. #35856C2semidirect
29. #35190C2semidirect
30. #35144C2semidirect
31. #35144C2semidirect
32. #35111C2semidirect
33. #34971C2semidirect
34. #34909C2semidirect
35. #34195C2semidirect
433. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34802
#428902
#428862
#428152
#428112
#414242
#414202
#406072
#406032
#398652
#398642
#398572
#398532
#398512
#398502
#383772
#383732
#375442
#375412
#364432
#364422
#362332
#362292
#359592
#359412
#359302
#358562
#351902
#351442
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