Finite Group Databasebeta

← #7657958

Subgroups — #7657958

Order 512.

6768 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3524C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#42890C211yesmaximal, characteristic, complemented
4#42886C211yesmaximal, characteristic, complemented
5#42815C211yesmaximal, characteristic, complemented
6#42811C211yesmaximal, characteristic, complemented
7#42444C212yesmaximal, complemented
8#42441C212yesmaximal, complemented
9#42299C214yesmaximal, complemented
10#41941C214yesmaximal, complemented
11#41424C212yesmaximal, complemented
12#41420C212yesmaximal, complemented
13#40607C212yesmaximal, complemented
14#40603C212yesmaximal, complemented
15#39865C212yesmaximal, complemented
16#39864C212yesmaximal, complemented
17#38381C214yesmaximal, complemented
18#38380C214yesmaximal, complemented
19#37616C211yesmaximal, characteristic, complemented
20#37608C212yesmaximal, complemented
21#37558C212yesmaximal, complemented
22#37544C211yesmaximal, characteristic, complemented
23#36231C212yesmaximal, complemented
24#36230C212yesmaximal, complemented
25#35959C211yesmaximal, characteristic, complemented
26#35941C211yesmaximal, characteristic, complemented
27#35930C211yesmaximal, characteristic, complemented
28#35856C211yesmaximal, characteristic, complemented
29#35817C212yesmaximal, complemented
30#35787C212yesmaximal, complemented
31#35247C211yesmaximal, characteristic, complemented
32#35130C212yesmaximal, complemented
33#34636C212yesmaximal, complemented
34#34602C211yesmaximal, characteristic, complemented
35#34191C211yesmaximal, characteristic, complemented
36#3524—216no—
37#3480—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2212yes—
40C2×#559C2211yescharacteristic
41C2×#559C2212yes—
42C2×#557C2211yescharacteristic
43C2×#557C2211yescharacteristic
44C2×#556C2211yescharacteristic
45C2×#556C2212yes—
46C2×#555C2211yescharacteristic
47C2×#555C2212yes—
48C2×#553C2211yescharacteristic
49C2×#553C2214yes—
50C2×#553C2212yes—
51C2×#553C2212yes—
52C2×#552C2211yescharacteristic
53C2×#552C2212yes—
54C2×#550C2211yescharacteristic
55C2×#550C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#548C2211yescharacteristic
58C2×#548C2212yes—
59C2×#542C2212yes—
60C2×#542C2211yescharacteristic
61C2×#540C2211yescharacteristic
62C2×#540C2212yes—
63C2×#532C2211yescharacteristic
64C2×#532C2212yes—
65C2×#529C2211yescharacteristic
66C2×#529C2212yes—
67C2×#529C2212yes—
68C2×#529C2211yescharacteristic
69C2×#529C2212yes—
70C2×#529C2214yes—
71C2×#520C2211yescharacteristic
72C2×#519C2211yescharacteristic
73C2×C4×#41C2212yes—
74C2×C4×#41C2212yes—
75C2×C4×#41C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2855C2212yes—
78#2854C2212yes—
79#2851C2214yes—
80#2850C2214yes—
81#2822C2212yes—
82#2820C2212yes—
83#2820C2212yes—
84#2819C2212yes—
85#2814C2214yes—
86#2813C2214yes—
87#2813C2212yes—
88#2813C2212yes—
89#2813C2214yes—
90#2720C2214yes—
91#2719C2214yes—
92#2715C2214yes—
93#2713C2214yes—
94#2712C2214yes—
95#2711C2214yes—
96#2696C2214yes—
97#2695C2214yes—
98#2694C2214yes—
99#2693C2214yes—
100#2688C2214yes—
101#2688C2214yes—
102#2686C2214yes—
103#2686C2214yes—
104#2676C2214yes—
105#2674C2214yes—
106#2673C2214yes—
107#2673C2214yes—
108#2673C2214yes—
109#2672C2214yes—
110#2672C2214yes—
111#2671C2214yes—
112#2671C2214yes—
113#2671C2214yes—
114#2663C2212yes—
115#2663C2212yes—
116#2661C2212yes—
117#2661C2212yes—
118#2658C2211yescharacteristic
119#2657C2211yescharacteristic
120#2642C2211yescharacteristic
121#2641C2211yescharacteristic
122#2638C2214yes—
123#2637C2211yescharacteristic
124#2637C2211yescharacteristic
125#2637C2211yescharacteristic
126#2637C2211yescharacteristic
127#2637C2212yes—
128#2637C2214yes—
129#2637C2212yes—
130#2636C2212yes—
131#2636C2212yes—
132#2636C2212yes—
133#2636C2212yes—
134#2636C2214yes—
135#2635C2214yes—
136#2635C2212yes—
137#2635C2212yes—
138#2634C2212yes—
139#2634C2212yes—
140#2634C2212yes—
141#2633C2212yes—
142#2633C2212yes—
143#2632C2212yes—
144#2632C2212yes—
145#2632C2212yes—
146#2631C2212yes—
147#2631C2212yes—
148#2630C2214yes—
149#2630C2214yes—
150#2627C2212yes—
151#2623C2211yescharacteristic
152#2623C2211yescharacteristic
153#2620C2212yes—
154#2620C2212yes—
155#2620C2212yes—
156#2619C2212yes—
157#2618C2212yes—
158#2618C2214yes—
159#2618C2214yes—
160#2614C2211yescharacteristic
161#2614C2211yescharacteristic
162#2611C2214yes—
163#2610C2214yes—
164#2609C2214yes—
165#2609C2214yes—
166#2609C2214yes—
167#2609C2214yes—
168#2601C2214yes—
169#2601C2214yes—
170#2600C2214yes—
171#2600C2214yes—
172#2598C2214yes—
173#2592C2211yescharacteristic
174#2592C2211yescharacteristic
175#2584C2211yescharacteristic
176#2584C2211yescharacteristic
177#2582C2212yes—
178#2581C2212yes—
179#2580C2212yes—
180#2568C2211yescharacteristic
181#2566C2212yes—
182#2564C2212yes—
183#2564C2212yes—
184#2564C2214yes—
185#2559C2214yes—
186#2559C2214yes—
187#2555C2214yes—
188#2553C2214yes—
189#2548C2211yescharacteristic
190#2547C2212yes—
191#2545C2212yes—
192#2544C2212yes—
193#2544C2212yes—
194#2544C2212yes—
195#2544C2212yes—
196#2543C2212yes—
197#2543C2212yes—
198#2543C2214yes—
199#2542C2211yescharacteristic
200#2541C2212yes—
201#2541C2211yescharacteristic
202#2538C2212yes—
203#2536C2212yes—
204#2535C2212yes—
205#2521C2214yes—
206#2498C2212yes—
207#2498C2212yes—
208#2496C2214yes—
209#2486C2212yes—
210#2481C2214yes—
211#2479C2214yes—
212#2477C2214yes—
213#2469C2214yes—
214#2468C2214yes—
215#2467C2214yes—
216#2466C2214yes—
217#2465C2214yes—
218#2464C2214yes—
219#2464C2214yes—
220#2463C2214yes—
221#2461C2214yes—
222#2459C2214yes—
223#2457C2214yes—
224#2456C2214yes—
225#2455C2214yes—
226#2454C2212yes—
227#2453C2212yes—
228#2452C2212yes—
229#2451C2212yes—
230#2449C2214yes—
231#2448C2212yes—
232#2448C2212yes—
233#2446C2212yes—
234#2446C2212yes—
235#2436C2212yes—
236#2434C2212yes—
237#2432C2212yes—
238#2432C2212yes—
239#2431C2212yes—
240#2431C2212yes—
241#2430C2212yes—
242#2430C2212yes—
243#2429C2212yes—
244#2428C2212yes—
245#2428C2212yes—
246#2428C2214yes—
247#2428C2212yes—
248#2427C2212yes—
249#2427C2212yes—
250#2427C2212yes—
251#2426C2212yes—
252#2417C2214yes—
253#2416C2214yes—
254#2413C2214yes—
255#2409C2212yes—
256#2407C2212yes—
257#2407C2212yes—
258#2399C2211yescharacteristic
259#2399C2211yescharacteristic
260#2398C2211yescharacteristic
261#2398C2211yescharacteristic
262#2396C2212yes—
263#2396C2212yes—
264#2396C2214yes—
265#2395C2212yes—
266#2395C2212yes—
267#2392C2214yes—
268#2388C2212yes—
269#2388C2212yes—
270#2367C2212yes—
271#2367C2212yes—
272#2366C2212yes—
273#2365C2212yes—
274#2363C2212yes—
275#2362C2212yes—
276#2361C2212yes—
277#2360C2212yes—
278#2355C2212yes—
279#2352C2214yes—
280D4×C4⋊C4C2212yes—
281#2346C2212yes—
282#2343C2214yes—
283#2339C2212yes—
284#2325C2214yes—
285#2325C2214yes—
286#2323C2214yes—
287#2320C2211yescharacteristic
288#2320C2211yescharacteristic
289#2318C2212yes—
290#2318C2212yes—
291C4×#123C2212yes—
292C4×#123C2212yes—
293#2290C2214yes—
294#2290C2214yes—
295#2285C2211yescharacteristic
296#2283C2211yescharacteristic
297#2283C2212yes—
298C2×#382C2212yes—
299#2275C2211yescharacteristic
300#2275C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307#559—28no—
308#559—216no—
309#559—216no—
310#559—28no—
311#557—28no—
312#557—28no—
313#556—216no—
314#556—28no—
315#555—28no—
316#555—216no—
317#553—216no—
318#553—232no—
319#553—216no—
320#553—28no—
321#552—28no—
322#552—216no—
323#550—28no—
324#550—28no—
325#548—28no—
326#548—28no—
327#548—216no—
328#542—216no—
329#542—28no—
330#540—216no—
331#540—28no—
332#532—216no—
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—232no—
346#529—216no—
347#529—28no—
348#529—28no—
349#529—216no—
350#529—216no—
351C2×#126C2314yes—
352C2×#126C2311yescharacteristic
353C2×#126C2312yes—
354C2×#126C2311yescharacteristic
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2311yescharacteristic
364C2×#125C2312yes—
365C2×#125C2314yes—
366C2×#125C2312yes—
367C2×#125C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2311yescharacteristic
374C2×#124C2314yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#123C2311yescharacteristic
386C2×#123C2311yescharacteristic
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2314yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×#121C2311yescharacteristic
414C2×#121C2311yescharacteristic
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2314yes—
439#520—28no—
440#519—28no—
441C4×#41—216no—
442C4×#41—216no—
443C4×#41D4116yescomplemented
444C2×C4×Q8—28no—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2311yescharacteristic
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2314yes—
499C2×#117C2314yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C2×#117C2311yescharacteristic
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2311yescharacteristic
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2314yes—
515C22×C42C2314yes—
516C22×C42C2312yes—
517C22×C42C2311yescharacteristic
518C22×C42C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2314yes—
522#400C2312yes—
523#400C2314yes—
524#400C2314yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2314yes—
531#399C2312yes—
532#399C2312yes—
533#399C2314yes—
534#399C2312yes—
535#399C2314yes—
536#399C2314yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2314yes—
541#398C2311yescharacteristic
542#398C2312yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2314yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2311yescharacteristic
556#398C2311yescharacteristic
557#398C2311yescharacteristic
558#398C2312yes—
559#398C2314yes—
560#397C2311yescharacteristic
561#397C2312yes—
562#397C2314yes—
563#397C2312yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2311yescharacteristic
568#397C2311yescharacteristic
569#397C2311yescharacteristic
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2312yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2312yes—
584#396C2314yes—
585#396C2314yes—
586#396C2312yes—
587#396C2314yes—
588#396C2312yes—
589#395C2311yescharacteristic
590#395C2312yes—
591#395C2314yes—
592#395C2311yescharacteristic
593#395C2312yes—
594#395C2314yes—
595#395C2311yescharacteristic
596#395C2311yescharacteristic
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2312yes—
605#394C2312yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2312yes—
618#394C2312yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2312yes—
628#394C2314yes—
629#394C2312yes—
630#394C2314yes—
631#394C2314yes—
632#393C2311yescharacteristic
633#393C2312yes—
634#393C2314yes—
635#393C2311yescharacteristic
636#393C2312yes—
637#393C2314yes—
638#393C2311yescharacteristic
639#393C2311yescharacteristic
640#393C2312yes—
641#393C2312yes—
642#393C2314yes—
643#392C2312yes—
644#392C2312yes—
645#392C2314yes—
646#392C2314yes—
647#392C2314yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#392C2314yes—
652#392C2314yes—
653#392C2314yes—
654#392C2312yes—
655#392C2314yes—
656#392C2312yes—
657#392C2314yes—
658#392C2314yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2314yes—
665#391C2314yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#390C2312yes—
671#390C2312yes—
672#390C2314yes—
673#390C2312yes—
674#390C2312yes—
675#390C2314yes—
676#390C2314yes—
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#390C2312yes—
681#390C2312yes—
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#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2312yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2312yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2312yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2312yes—
721#387C2312yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2312yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2312yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2312yes—
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#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2312yes—
767#386C2312yes—
768#386C2314yes—
769#386C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2312yes—
786#385C2312yes—
787#385C2314yes—
788#385C2314yes—
789#384C2312yes—
790#384C2312yes—
791#383C2312yes—
792#383C2312yes—
793#383C2312yes—
794#382C2312yes—
795#382C2312yes—
796#382C2312yes—
797#382C2314yes—
798#382C2314yes—
799#382C2311yescharacteristic
800#382C2312yes—
801#382C2311yescharacteristic
802#381C2311yescharacteristic
803#381C2311yescharacteristic
804#381C2314yes—
805#381C2314yes—
806#381C2312yes—
807#381C2312yes—
808#380C2314yes—
809#380C2314yes—
810#380C2312yes—
811#380C2314yes—
812#380C2314yes—
813#380C2314yes—
814#380C2312yes—
815#380C2314yes—
816#380C2314yes—
817#380C2314yes—
818#380C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
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#376C2311yescharacteristic
846#376C2311yescharacteristic
847#376C2314yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2314yes—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41—44no—
857C2×#41—48no—
858C2×#41—44no—
859C2×#41C2×D418yes—
860C22×Q8—24no—
861C22×Q8—24no—
862C22×Q8—44no—
863C22×Q8—44no—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2411yescharacteristic
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2411yescharacteristic
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2414yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2414yes—
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C23×C4C2414yes—
909C23×C4C2414yes—
910C23×C4C2414yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2412yes—
916C4⋊Q8—28no—
917C4⋊Q8—24no—
918C4⋊Q8—28no—
919C4⋊Q8—24no—
920C4⋊Q8—44no—
921#127—28no—
922#127—24no—
923#127—28no—
924#127—24no—
925#127—44no—
926#127—82no—
927#126—216no—
928#126—216no—
929#126—28no—
930#126—28no—
931#126—28no—
932#126—24no—
933#126—28no—
934#126—24no—
935#126—216no—
936#125—216no—
937#125—24no—
938#125—28no—
939#125—28no—
940#125—24no—
941#125—28no—
942#125—28no—
943#125—24no—
944#124—28no—
945#124—28no—
946#124—24no—
947#124—28no—
948#124—216no—
949#124—28no—
950#124—28no—
951#124—28no—
952#124—28no—
953#124—28no—
954#124—24no—
955#124—28no—
956#124—24no—
957#124—28no—
958#124—44no—
959#124—44no—
960#124—82no—
961#123—28no—
962#123—28no—
963#123—28no—
964#123—24no—
965#123—28no—
966#123—216no—
967#123—24no—
968#123—28no—
969#123—216no—
970#123—216no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—44no—
975#123—44no—
976#123—84no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—24no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—216no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—48no—
986C22⋊Q8—44no—
987C22⋊Q8—44no—
988C22⋊Q8—84no—
989#121—216no—
990#121—216no—
991#121—24no—
992#121—28no—
993#121—24no—
994#121—28no—
995#121—24no—
996#121—28no—
997#121—28no—
998#121—24no—
999#121—28no—
1000#121—28no—
1001#121—28no—
1002#121—24no—
1003#121—28no—
1004#121—216no—
1005#121—28no—
1006#121—28no—
1007#121—28no—
1008#121—48no—
1009#121—48no—
1010#121—44no—
1011#121—44no—
1012#121—84no—
1013#121—84no—
1014#121—84no—
1015C4×Q8—24no—
1016C4×Q8—24no—
1017C4×Q8—28no—
1018C4×Q8—28no—
1019C4×Q8—24no—
1020C4×Q8—28no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—24no—
1024C4×Q8—24no—
1025C4×Q8—24no—
1026C4×Q8—28no—
1027C4×Q8—28no—
1028C4×Q8—28no—
1029C4×Q8—24no—
1030C4×Q8—28no—
1031C4×Q8—24no—
1032C4×Q8C2×D418yes—
1033C4×Q8C2×D418yes—
1034C4×D4—216no—
1035C4×D4—216no—
1036C4×D4—216no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—216no—
1049C4×D4—216no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—24no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—24no—
1057C4×D4—44no—
1058C4×D4—44no—
1059C4×D4—48no—
1060C4×D4—48no—
1061C4×D4C2×D4116yes—
1062C4×D4C2×D418yes—
1063C4×D4C2×D4116yes—
1064C4×D4C2×D418yes—
1065#117—28no—
1066#117—24no—
1067#117—28no—
1068#117—216no—
1069#117—216no—
1070#117—28no—
1071#117—24no—
1072#117—28no—
1073#117—24no—
1074#117—28no—
1075#117—28no—
1076#117—28no—
1077#117—82no—
1078#117C2×D418yes—
1079#117C2×D4116yes—
1080C2×C4⋊C4—28no—
1081C2×C4⋊C4—24no—
1082C2×C4⋊C4—24no—
1083C2×C4⋊C4—28no—
1084C2×C4⋊C4—84no—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C42—28no—
1218C2×C42—216no—
1219C2×C42C2×D418yes—
1220C2×C42C2×D4116yes—
1221C2×C42C2412yes—
1222C2×C42C2412yes—
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2414yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2412yes—
1230C2×C42C2414yes—
1231C2×C42C2412yes—
1232C2×C42C2412yes—
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2414yes—
1239C2×C42C2414yes—
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2412yes—
1250#95C2414yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2414yes—
1263#95C2414yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300C24C2511yescharacteristic
1301C24C2512yes—
1302C24C2511yescharacteristic
1303C24C2514yes—
1304C24C2511yescharacteristic
1305C24C2512yes—
1306#41—416no—
1307#41—432no—
1308#41—432no—
1309#41—416no—
1310C2×Q8—22no—
1311C2×Q8—24no—
1312C2×Q8—24no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—24no—
1316C2×Q8—24no—
1317C2×Q8—22no—
1318C2×Q8—24no—
1319C2×Q8—24no—
1320C2×Q8—24no—
1321C2×Q8—24no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—42no—
1325C2×Q8—42no—
1326C2×Q8—44no—
1327C2×Q8—42no—
1328C2×Q8—41no—
1329C2×Q8—42no—
1330C2×Q8—41no—
1331C2×Q8—416no—
1332C2×Q8—416no—
1333C2×Q8C22×D414yes—
1334C2×D4—28no—
1335C2×D4—28no—
1336C2×D4—24no—
1337C2×D4—22no—
1338C2×D4—28no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—22no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—28no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—44no—
1370C2×D4—42no—
1371C2×D4—44no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—41no—
1378C2×D4—42no—
1379C2×D4—41no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4C22×D414yes—
1393C2×D4C22×D418yes—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—28no—
1398C22×C4—28no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—28no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—28no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—42no—
1412C22×C4—41no—
1413C22×C4—42no—
1414C22×C4—41no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—42no—
1429C22×C4—44no—
1430C22×C4—42no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4C22×D414yes—
1438C22×C4C22×D414yes—
1439C22×C4C22×D414yes—
1440C22×C4C22×D418yes—
1441C22×C4C22×D418yes—
1442C22×C4C22×D418yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2514yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2514yes—
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2514yes—
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2512yes—
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2512yes—
1471C22×C4C2511yescharacteristic
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—24no—
1477C4⋊C4—22no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—28no—
1489C4⋊C4—28no—
1490C4⋊C4—24no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
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—22no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—28no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—42no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—42no—
1528C4⋊C4—44no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4C22×D414yes—
1534C4⋊C4C22×D418yes—
1535C4⋊C4C22×D414yes—
1536C4⋊C4C22×D418yes—
1537C22⋊C4—28no—
1538C22⋊C4—24no—
1539C22⋊C4—22no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—28no—
1544C22⋊C4—24no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—24no—
1548C22⋊C4—22no—
1549C22⋊C4—24no—
1550C22⋊C4—22no—
1551C22⋊C4—28no—
1552C22⋊C4—24no—
1553C22⋊C4—22no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—28no—
1557C22⋊C4—24no—
1558C22⋊C4—22no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—24no—
1565C22⋊C4—22no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—24no—
1569C22⋊C4—28no—
1570C22⋊C4—24no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4C22×D418yes—
1602C22⋊C4C22×D418yes—
1603C22⋊C4C22×D418yes—
1604C42—24no—
1605C42—24no—
1606C42—28no—
1607C42—28no—
1608C42—24no—
1609C42—24no—
1610C42—24no—
1611C42—24no—
1612C42—24no—
1613C42—24no—
1614C42—22no—
1615C42—24no—
1616C42—22no—
1617C42—24no—
1618C42—24no—
1619C42—42no—
1620C42—42no—
1621C42—44no—
1622C42—44no—
1623C42C22×D418yes—
1624C42C22×D414yes—
1625C42C22×D418yes—
1626C42C22×D414yes—
1627C42C22×D414yes—
1628C42C22×D418yes—
1629C42C22×D414yes—
1630C23—22no—
1631C23—24no—
1632C23—22no—
1633C23—24no—
1634C23—21no—
1635C23—22no—
1636C23—21no—
1637C23—22no—
1638C23—24no—
1639C23—22no—
1640C23—21no—
1641C23—21no—
1642C23—22no—
1643C23—24no—
1644C23—22no—
1645C23—24no—
1646C23—22no—
1647C23—24no—
1648C23—22no—
1649C23—24no—
1650C23—24no—
1651C23—24no—
1652C23—22no—
1653C23—24no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—24no—
1659C23—22no—
1660C23C23×D414yes—
1661C23C23×D412yes—
1662C23C2611yescharacteristic
1663Q8—28no—
1664Q8—28no—
1665Q8—48no—
1666Q8—44no—
1667Q8—48no—
1668Q8—44no—
1669Q8—48no—
1670Q8—84no—
1671Q8—82no—
1672D4—28no—
1673D4—48no—
1674D4—416no—
1675D4—48no—
1676D4—48no—
1677D4—416no—
1678D4—44no—
1679D4—48no—
1680D4—84no—
1681D4—84no—
1682D4—82no—
1683D4—82no—
1684D4—84no—
1685D4—82no—
1686D4—84no—
1687D4—88no—
1688D4—84no—
1689D4—84no—
1690D4—84no—
1691D4—88no—
1692D4—88no—
1693D4—164no—
1694D4—164no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—28no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—24no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—24no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—24no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—48no—
1761C2×C4—44no—
1762C2×C4—44no—
1763C2×C4—48no—
1764C2×C4—48no—
1765C2×C4—416no—
1766C2×C4—48no—
1767C2×C4—48no—
1768C2×C4—416no—
1769C2×C4—48no—
1770C2×C4—44no—
1771C2×C4—44no—
1772C2×C4—84no—
1773C2×C4—84no—
1774C2×C4—84no—
1775C2×C4—88no—
1776C2×C4—84no—
1777C2×C4—164no—
1778C2×C4—164no—
1779C2×C4C23×D412yes—
1780C2×C4C23×D414yes—
1781C2×C4C23×D412yes—
1782C2×C4C23×D414yes—
1783C2×C4C23×D414yes—
1784C2×C4C23×D412yes—
1785C2×C4C23×D412yes—
1786C2×C4C23×D412yes—
1787C2×C4C23×D412yes—
1788C2×C4#58514yes—
1789C2×C4#58514yes—
1790C22—22no—
1791C22—24no—
1792C22—22no—
1793C22—24no—
1794C22—22no—
1795C22—24no—
1796C22—44no—
1797C22—42no—
1798C22—42no—
1799C22—44no—
1800C22—44no—
1801C22—41no—
1802C22—42no—
1803C22—41no—
1804C22—44no—
1805C22—41no—
1806C22—42no—
1807C22—41no—
1808C22—41no—
1809C22—42no—
1810C22—44no—
1811C22—41no—
1812C22—42no—
1813C22—44no—
1814C22—42no—
1815C22—44no—
1816C22—44no—
1817C22—44no—
1818C22—44no—
1819C22—42no—
1820C22—42no—
1821C22—44no—
1822C22C24×D411yescharacteristic
1823C22C2×#58512yes—
1824C22C2×#58512yes—
1825C22H(7,𝔽2)11yescharacteristic
1826C222−1+611yescharacteristic
1827C4—24no—
1828C4—22no—
1829C4—24no—
1830C4—22no—
1831C4—22no—
1832C4—24no—
1833C4—22no—
1834C4—22no—
1835C4—24no—
1836C4—42no—
1837C4—41no—
1838C4—42no—
1839C4—41no—
1840C4—42no—
1841C4—42no—
1842C4—41no—
1843C4—42no—
1844C4—41no—
1845C4—41no—
1846C4—44no—
1847C4—41no—
1848C4—42no—
1849C4—44no—
1850C4—42no—
1851C4—42no—
1852C4—44no—
1853C4—42no—
1854C4—42no—
1855C4#344914yes—
1856C2—42no—
1857C2—44no—
1858C2—84no—
1859C2—81no—
1860C2—82no—
1861C2—81no—
1862C2C2×#344911yescharacteristic
1863C2#6281111yescharacteristic
1864C2#6285311yescharacteristic
1865C2#6296612yes—
1866C2#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×#3524C2semidirect
2. C2×#3480C2semidirect
3. #42890C2semidirect
4. #42886C2semidirect
5. #42815C2semidirect
6. #42811C2semidirect
7. #42444C2semidirect
8. #42441C2semidirect
9. #42299C2semidirect
10. #41941C2semidirect
11. #41424C2semidirect
12. #41420C2semidirect
13. #40607C2semidirect
14. #40603C2semidirect
15. #39865C2semidirect
16. #39864C2semidirect
17. #38381C2semidirect
18. #38380C2semidirect
19. #37616C2semidirect
20. #37608C2semidirect
21. #37558C2semidirect
22. #37544C2semidirect
23. #36231C2semidirect
24. #36230C2semidirect
25. #35959C2semidirect
26. #35941C2semidirect
27. #35930C2semidirect
28. #35856C2semidirect
29. #35817C2semidirect
30. #35787C2semidirect
31. #35247C2semidirect
32. #35130C2semidirect
33. #34636C2semidirect
34. #34602C2semidirect
35. #34191C2semidirect
443. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35242
C2×#34802
#428902
#428862
#428152
#428112
#424442
#424412
#422992
#419412
#414242
#414202
#406072
#406032
#398652
#398642
#383812
#383802
#376162
#376082
#375582
#375442
#362312
#362302
#359592
#359412
#359302
#358562
#358172
#357872
#352472
#351302
#346362
#346022
#341912