Finite Group Databasebeta

← #7655458

Subgroups — #7655458

Order 512.

6840 conjugacy classes of subgroups.

The subgroup lattice has 1875 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#42649C211yesmaximal, characteristic, complemented
4#42645C211yesmaximal, characteristic, complemented
5#42429C211yesmaximal, characteristic, complemented
6#42425C211yesmaximal, characteristic, complemented
7#42386C212yesmaximal, complemented
8#42311C212yesmaximal, complemented
9#42152C212yesmaximal, complemented
10#41954C212yesmaximal, complemented
11#39954C212yesmaximal, complemented
12#39951C212yesmaximal, complemented
13#39943C214yesmaximal, complemented
14#39940C214yesmaximal, complemented
15#39865C212yesmaximal, complemented
16#39864C212yesmaximal, complemented
17#38385C214yesmaximal, complemented
18#38384C214yesmaximal, complemented
19#37559C211yesmaximal, characteristic, complemented
20#37543C212yesmaximal, complemented
21#36471C212yesmaximal, complemented
22#36469C212yesmaximal, complemented
23#36231C212yesmaximal, complemented
24#36230C212yesmaximal, complemented
25#36041C211yesmaximal, characteristic, complemented
26#35844C211yesmaximal, characteristic, complemented
27#35749C211yesmaximal, characteristic, complemented
28#35712C211yesmaximal, characteristic, complemented
29#35342C212yesmaximal, complemented
30#35191C211yesmaximal, characteristic, complemented
31#35119C212yesmaximal, complemented
32#35111C211yesmaximal, characteristic, complemented
33#34972C211yesmaximal, characteristic, complemented
34#34876C212yesmaximal, complemented
35#34123C211yesmaximal, characteristic, complemented
36#3524—216no—
37#3480—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2212yes—
40C2×#559C2211yescharacteristic
41C2×#559C2212yes—
42C2×#557C2211yescharacteristic
43C2×#557C2211yescharacteristic
44C2×#556C2212yes—
45C2×#556C2211yescharacteristic
46C2×#555C2211yescharacteristic
47C2×#555C2212yes—
48C2×#553C2212yes—
49C2×#553C2214yes—
50C2×#553C2211yescharacteristic
51C2×#553C2212yes—
52C2×#552C2211yescharacteristic
53C2×#552C2212yes—
54C2×#550C2211yescharacteristic
55C2×#550C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#548C2212yes—
58C2×#548C2211yescharacteristic
59C2×#542C2212yes—
60C2×#542C2211yescharacteristic
61C2×#540C2211yescharacteristic
62C2×#540C2212yes—
63C2×#532C2211yescharacteristic
64C2×#532C2212yes—
65C2×#529C2212yes—
66C2×#529C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#529C2211yescharacteristic
70C2×#529C2214yes—
71C2×#520C2211yescharacteristic
72C2×#519C2211yescharacteristic
73C2×C4×#41C2212yes—
74C2×C4×#41C2212yes—
75C2×C4×#41C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2861C2212yes—
78#2858C2212yes—
79#2855C2212yes—
80#2854C2214yes—
81#2854C2214yes—
82#2854C2212yes—
83#2851C2214yes—
84#2850C2214yes—
85#2816C2212yes—
86#2815C2212yes—
87#2814C2212yes—
88#2814C2212yes—
89#2813C2212yes—
90#2813C2212yes—
91#2723C2214yes—
92#2722C2214yes—
93#2721C2214yes—
94#2716C2214yes—
95#2715C2214yes—
96#2714C2214yes—
97#2695C2214yes—
98#2692C2214yes—
99#2691C2214yes—
100#2691C2214yes—
101#2690C2214yes—
102#2688C2214yes—
103#2688C2214yes—
104#2686C2214yes—
105#2686C2214yes—
106#2677C2214yes—
107#2676C2214yes—
108#2676C2214yes—
109#2675C2214yes—
110#2673C2214yes—
111#2673C2214yes—
112#2671C2214yes—
113#2671C2214yes—
114#2671C2214yes—
115#2664C2214yes—
116#2662C2214yes—
117#2661C2212yes—
118#2661C2212yes—
119#2661C2212yes—
120#2661C2212yes—
121#2659C2212yes—
122#2656C2212yes—
123#2639C2212yes—
124#2639C2212yes—
125#2638C2214yes—
126#2635C2214yes—
127#2634C2212yes—
128#2633C2212yes—
129#2633C2212yes—
130#2632C2212yes—
131#2631C2212yes—
132#2631C2212yes—
133#2625C2212yes—
134#2624C2212yes—
135#2623C2212yes—
136#2621C2211yescharacteristic
137#2621C2211yescharacteristic
138#2619C2211yescharacteristic
139#2619C2211yescharacteristic
140#2616C2212yes—
141#2615C2212yes—
142#2614C2212yes—
143#2611C2214yes—
144#2611C2212yes—
145#2611C2214yes—
146#2611C2212yes—
147#2610C2212yes—
148#2610C2214yes—
149#2610C2214yes—
150#2610C2212yes—
151#2609C2214yes—
152#2609C2214yes—
153#2604C2214yes—
154#2604C2211yescharacteristic
155#2604C2212yes—
156#2604C2212yes—
157#2604C2211yescharacteristic
158#2604C2211yescharacteristic
159#2604C2211yescharacteristic
160#2603C2214yes—
161#2603C2212yes—
162#2603C2212yes—
163#2603C2212yes—
164#2603C2212yes—
165#2602C2214yes—
166#2602C2214yes—
167#2602C2214yes—
168#2602C2214yes—
169#2600C2214yes—
170#2600C2214yes—
171#2599C2212yes—
172#2599C2212yes—
173#2599C2214yes—
174#2598C2212yes—
175#2598C2212yes—
176#2592C2212yes—
177#2592C2212yes—
178#2584C2212yes—
179#2581C2211yescharacteristic
180#2581C2211yescharacteristic
181#2580C2211yescharacteristic
182#2580C2211yescharacteristic
183#2565C2212yes—
184#2564C2214yes—
185#2557C2214yes—
186#2557C2214yes—
187#2555C2214yes—
188#2553C2214yes—
189#2548C2211yescharacteristic
190#2547C2212yes—
191#2547C2211yescharacteristic
192#2546C2211yescharacteristic
193#2545C2212yes—
194#2544C2212yes—
195#2544C2212yes—
196#2543C2214yes—
197#2541C2211yescharacteristic
198#2541C2212yes—
199#2540C2212yes—
200#2521C2214yes—
201#2503C2211yescharacteristic
202#2501C2211yescharacteristic
203#2498C2212yes—
204#2498C2212yes—
205#2491C2214yes—
206#2475C2214yes—
207#2473C2214yes—
208#2471C2214yes—
209#2468C2214yes—
210#2466C2214yes—
211#2464C2214yes—
212#2464C2214yes—
213#2462C2214yes—
214#2461C2214yes—
215#2460C2214yes—
216#2459C2214yes—
217#2458C2214yes—
218#2457C2214yes—
219#2456C2214yes—
220#2456C2214yes—
221#2455C2214yes—
222#2454C2212yes—
223#2453C2212yes—
224#2452C2212yes—
225#2451C2212yes—
226#2448C2212yes—
227#2448C2212yes—
228#2446C2212yes—
229#2446C2212yes—
230#2443C2214yes—
231#2436C2212yes—
232#2436C2211yescharacteristic
233#2434C2212yes—
234#2434C2211yescharacteristic
235#2432C2212yes—
236#2432C2212yes—
237#2431C2212yes—
238#2431C2212yes—
239#2430C2212yes—
240#2430C2212yes—
241#2429C2212yes—
242#2428C2212yes—
243#2428C2212yes—
244#2428C2212yes—
245#2427C2212yes—
246#2427C2212yes—
247#2427C2212yes—
248#2426C2212yes—
249#2422C2214yes—
250#2414C2214yes—
251#2413C2212yes—
252#2413C2212yes—
253#2407C2212yes—
254#2407C2212yes—
255#2399C2212yes—
256#2398C2212yes—
257#2398C2212yes—
258#2397C2212yes—
259#2396C2211yescharacteristic
260#2396C2211yescharacteristic
261#2396C2211yescharacteristic
262#2396C2211yescharacteristic
263#2367C2212yes—
264#2367C2212yes—
265#2366C2212yes—
266#2365C2212yes—
267#2363C2212yes—
268#2362C2212yes—
269#2361C2212yes—
270#2360C2212yes—
271#2356C2211yescharacteristic
272#2356C2211yescharacteristic
273#2353C2212yes—
274#2353C2212yes—
275#2349C2211yescharacteristic
276#2349C2211yescharacteristic
277#2346C2212yes—
278#2343C2214yes—
279#2339C2212yes—
280#2325C2214yes—
281#2325C2214yes—
282#2324C2214yes—
283#2324C2214yes—
284#2323C2214yes—
285#2322C2214yes—
286C4×C4⋊Q8C2212yes—
287C4×#124C2212yes—
288C4×#123C2212yes—
289C4×#123C2212yes—
290C4×#121C2214yes—
291C4×#121C2214yes—
292#2295C2212yes—
293#2290C2214yes—
294#2290C2214yes—
295#2290C2214yes—
296#2283C2212yes—
297#2283C2211yescharacteristic
298C42×D4C2212yes—
299C4×#117C2211yescharacteristic
300C2×#376C2212yes—
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×C4⋊Q8C2312yes—
340C2×#127C2311yescharacteristic
341C2×#127C2312yes—
342C2×#127C2312yes—
343C2×#127C2311yescharacteristic
344C2×#127C2312yes—
345#529—232no—
346#529—216no—
347#529—28no—
348#529—28no—
349#529—216no—
350#529—216no—
351C2×#126C2311yescharacteristic
352C2×#126C2312yes—
353C2×#126C2311yescharacteristic
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2311yescharacteristic
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2314yes—
366C2×#125C2312yes—
367C2×#125C2311yescharacteristic
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2312yes—
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×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2311yescharacteristic
390C2×#123C2311yescharacteristic
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2314yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2314yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×#121C2312yes—
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
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×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
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×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2311yescharacteristic
495C2×#117C2314yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2314yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C2×#117C2311yescharacteristic
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2311yescharacteristic
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2312yes—
514C22×C42C2314yes—
515C22×C42C2312yes—
516C22×C42C2314yes—
517C22×C42C2311yescharacteristic
518C22×C42C2312yes—
519#400C2314yes—
520#400C2312yes—
521#400C2312yes—
522#400C2311yescharacteristic
523#400C2311yescharacteristic
524#400C2314yes—
525#400C2311yescharacteristic
526#400C2311yescharacteristic
527#400C2314yes—
528#399C2314yes—
529#399C2314yes—
530#399C2312yes—
531#399C2312yes—
532#399C2311yescharacteristic
533#399C2311yescharacteristic
534#399C2314yes—
535#399C2311yescharacteristic
536#399C2311yescharacteristic
537#399C2314yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2314yes—
545#398C2312yes—
546#398C2312yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2312yes—
552#398C2312yes—
553#398C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2312yes—
557#397C2312yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2312yes—
563#397C2314yes—
564#397C2312yes—
565#397C2314yes—
566#397C2312yes—
567#397C2312yes—
568#397C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#395C2314yes—
578#395C2312yes—
579#395C2312yes—
580#395C2314yes—
581#395C2311yescharacteristic
582#395C2311yescharacteristic
583#395C2314yes—
584#395C2311yescharacteristic
585#395C2311yescharacteristic
586#395C2314yes—
587#394C2312yes—
588#394C2312yes—
589#394C2314yes—
590#394C2314yes—
591#394C2312yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2312yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2312yes—
606#394C2312yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#393C2314yes—
611#393C2314yes—
612#393C2312yes—
613#393C2312yes—
614#393C2314yes—
615#393C2311yescharacteristic
616#393C2311yescharacteristic
617#393C2314yes—
618#393C2311yescharacteristic
619#393C2311yescharacteristic
620#393C2314yes—
621#392C2312yes—
622#392C2312yes—
623#392C2314yes—
624#392C2314yes—
625#392C2314yes—
626#392C2314yes—
627#392C2312yes—
628#392C2314yes—
629#392C2312yes—
630#392C2314yes—
631#392C2312yes—
632#392C2312yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#392C2314yes—
637#392C2314yes—
638#392C2314yes—
639#391C2312yes—
640#391C2312yes—
641#391C2312yes—
642#391C2314yes—
643#391C2312yes—
644#391C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#390C2314yes—
652#390C2314yes—
653#390C2314yes—
654#390C2314yes—
655#390C2314yes—
656#390C2314yes—
657#390C2312yes—
658#390C2312yes—
659#390C2312yes—
660#390C2312yes—
661#390C2314yes—
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2312yes—
666#390C2312yes—
667#390C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2314yes—
673#389C2314yes—
674#389C2314yes—
675#389C2314yes—
676#389C2314yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2314yes—
682#389C2314yes—
683#389C2312yes—
684#389C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2312yes—
692#388C2314yes—
693#388C2314yes—
694#388C2312yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2312yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2312yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2312yes—
712#388C2314yes—
713#388C2314yes—
714#388C2312yes—
715#388C2312yes—
716#388C2312yes—
717#388C2314yes—
718#388C2314yes—
719#387C2312yes—
720#387C2314yes—
721#387C2312yes—
722#387C2312yes—
723#387C2312yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
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#386C2312yes—
765#386C2312yes—
766#386C2314yes—
767#386C2314yes—
768#385C2314yes—
769#385C2314yes—
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#385C2314yes—
786#385C2314yes—
787#385C2312yes—
788#385C2312yes—
789#384C2312yes—
790#383C2312yes—
791#383C2312yes—
792#383C2312yes—
793#382C2312yes—
794#382C2311yescharacteristic
795#382C2311yescharacteristic
796#382C2314yes—
797#381C2312yes—
798#381C2314yes—
799#381C2314yes—
800#381C2312yes—
801#381C2312yes—
802#380C2314yes—
803#380C2314yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840#376C2314yes—
841#376C2311yescharacteristic
842#376C2312yes—
843#376C2311yescharacteristic
844#376C2314yes—
845#376C2312yes—
846#376C2312yes—
847C2×#95C2314yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C43C2312yes—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—42no—
855C2×#41—42no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—42no—
859C2×#41—48no—
860C2×#41—42no—
861C2×#41C2×D418yes—
862C22×Q8—24no—
863C22×Q8—24no—
864C22×Q8—42no—
865C22×Q8—42no—
866C22×Q8—44no—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2412yes—
875C22×Q8C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2411yescharacteristic
880C22×D4C2414yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2414yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2411yescharacteristic
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2414yes—
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2414yes—
911C23×C4C2414yes—
912C23×C4C2414yes—
913C23×C4C2414yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C4⋊Q8—28no—
920C4⋊Q8—24no—
921C4⋊Q8—28no—
922C4⋊Q8—24no—
923C4⋊Q8—44no—
924C4⋊Q8—44no—
925#127—28no—
926#127—24no—
927#127—28no—
928#127—24no—
929#127—44no—
930#126—216no—
931#126—216no—
932#126—28no—
933#126—28no—
934#126—28no—
935#126—24no—
936#126—28no—
937#126—24no—
938#126—216no—
939#125—216no—
940#125—24no—
941#125—28no—
942#125—28no—
943#125—24no—
944#125—28no—
945#125—28no—
946#125—24no—
947#124—28no—
948#124—28no—
949#124—24no—
950#124—28no—
951#124—216no—
952#124—28no—
953#124—28no—
954#124—28no—
955#124—28no—
956#124—28no—
957#124—24no—
958#124—28no—
959#124—24no—
960#124—28no—
961#124—44no—
962#124—44no—
963#124—44no—
964#123—28no—
965#123—28no—
966#123—28no—
967#123—24no—
968#123—28no—
969#123—216no—
970#123—24no—
971#123—28no—
972#123—216no—
973#123—216no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—44no—
978#123—44no—
979#123—48no—
980C22⋊Q8—24no—
981C22⋊Q8—28no—
982C22⋊Q8—24no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—216no—
986C22⋊Q8—24no—
987C22⋊Q8—28no—
988C22⋊Q8—48no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991#121—216no—
992#121—216no—
993#121—24no—
994#121—28no—
995#121—24no—
996#121—28no—
997#121—24no—
998#121—28no—
999#121—28no—
1000#121—24no—
1001#121—28no—
1002#121—28no—
1003#121—28no—
1004#121—24no—
1005#121—28no—
1006#121—216no—
1007#121—28no—
1008#121—28no—
1009#121—28no—
1010#121—48no—
1011#121—48no—
1012#121—48no—
1013#121—48no—
1014#121—48no—
1015#121—44no—
1016#121—44no—
1017#121—48no—
1018C4×Q8—24no—
1019C4×Q8—24no—
1020C4×Q8—28no—
1021C4×Q8—28no—
1022C4×Q8—24no—
1023C4×Q8—28no—
1024C4×Q8—24no—
1025C4×Q8—28no—
1026C4×Q8—24no—
1027C4×Q8—24no—
1028C4×Q8—24no—
1029C4×Q8—28no—
1030C4×Q8—28no—
1031C4×Q8—28no—
1032C4×Q8—24no—
1033C4×Q8—28no—
1034C4×Q8—24no—
1035C4×Q8C2×D418yes—
1036C4×Q8C2×D418yes—
1037C4×D4—216no—
1038C4×D4—216no—
1039C4×D4—216no—
1040C4×D4—24no—
1041C4×D4—28no—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—28no—
1051C4×D4—216no—
1052C4×D4—216no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—24no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—24no—
1060C4×D4—48no—
1061C4×D4—48no—
1062C4×D4—44no—
1063C4×D4—44no—
1064C4×D4C2×D4116yes—
1065C4×D4C2×D418yes—
1066C4×D4C2×D4116yes—
1067C4×D4C2×D418yes—
1068#117—28no—
1069#117—24no—
1070#117—28no—
1071#117—216no—
1072#117—216no—
1073#117—28no—
1074#117—24no—
1075#117—28no—
1076#117—24no—
1077#117—28no—
1078#117—28no—
1079#117—28no—
1080#117—44no—
1081#117C2×D418yes—
1082#117C2×D4116yes—
1083C2×C4⋊C4—28no—
1084C2×C4⋊C4—24no—
1085C2×C4⋊C4—24no—
1086C2×C4⋊C4—28no—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
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⋊C4C2412yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C42—28no—
1218C2×C42—216no—
1219C2×C42—48no—
1220C2×C42C2×D418yes—
1221C2×C42C2×D4116yes—
1222C2×C42C2412yes—
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2414yes—
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2411yescharacteristic
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2414yes—
1233C2×C42C2412yes—
1234C2×C42C2414yes—
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2414yes—
1243C2×C42C2414yes—
1244C2×C42C2412yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2412yes—
1247C2×C42C2411yescharacteristic
1248C2×C42C2412yes—
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251#95C2412yes—
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2414yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303C24C2511yescharacteristic
1304C24C2511yescharacteristic
1305C24C2512yes—
1306C24C2514yes—
1307C24C2511yescharacteristic
1308C24C2512yes—
1309#41—416no—
1310#41—432no—
1311#41—432no—
1312#41—416no—
1313C2×Q8—22no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—24no—
1319C2×Q8—24no—
1320C2×Q8—22no—
1321C2×Q8—24no—
1322C2×Q8—22no—
1323C2×Q8—22no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—22no—
1327C2×Q8—24no—
1328C2×Q8—22no—
1329C2×Q8—42no—
1330C2×Q8—42no—
1331C2×Q8—42no—
1332C2×Q8—42no—
1333C2×Q8—44no—
1334C2×Q8—42no—
1335C2×Q8—416no—
1336C2×Q8—416no—
1337C2×Q8C22×D414yes—
1338C2×D4—28no—
1339C2×D4—28no—
1340C2×D4—24no—
1341C2×D4—22no—
1342C2×D4—28no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—28no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—28no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—44no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—42no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4C22×D414yes—
1395C2×D4C22×D418yes—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—28no—
1401C22×C4—28no—
1402C22×C4—24no—
1403C22×C4—22no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—28no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—24no—
1412C22×C4—28no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—28no—
1417C22×C4—44no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4C22×D414yes—
1444C22×C4C22×D414yes—
1445C22×C4C22×D414yes—
1446C22×C4C22×D418yes—
1447C22×C4C22×D418yes—
1448C22×C4C22×D418yes—
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2514yes—
1452C22×C4C2514yes—
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2514yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2512yes—
1471C22×C4C2511yescharacteristic
1472C22×C4C2512yes—
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2511yescharacteristic
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—22no—
1490C4⋊C4—24no—
1491C4⋊C4—22no—
1492C4⋊C4—28no—
1493C4⋊C4—24no—
1494C4⋊C4—28no—
1495C4⋊C4—28no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—24no—
1499C4⋊C4—22no—
1500C4⋊C4—24no—
1501C4⋊C4—22no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—24no—
1509C4⋊C4—28no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—28no—
1522C4⋊C4—24no—
1523C4⋊C4—42no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—42no—
1535C4⋊C4—44no—
1536C4⋊C4—42no—
1537C4⋊C4C22×D414yes—
1538C4⋊C4C22×D418yes—
1539C4⋊C4C22×D414yes—
1540C4⋊C4C22×D418yes—
1541C22⋊C4—28no—
1542C22⋊C4—24no—
1543C22⋊C4—22no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—28no—
1548C22⋊C4—24no—
1549C22⋊C4—22no—
1550C22⋊C4—22no—
1551C22⋊C4—24no—
1552C22⋊C4—22no—
1553C22⋊C4—24no—
1554C22⋊C4—22no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—22no—
1558C22⋊C4—28no—
1559C22⋊C4—28no—
1560C22⋊C4—28no—
1561C22⋊C4—24no—
1562C22⋊C4—22no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—22no—
1567C22⋊C4—24no—
1568C22⋊C4—22no—
1569C22⋊C4—22no—
1570C22⋊C4—28no—
1571C22⋊C4—28no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—28no—
1575C22⋊C4—28no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
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—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4C22×D418yes—
1606C22⋊C4C22×D418yes—
1607C22⋊C4C22×D418yes—
1608C42—24no—
1609C42—24no—
1610C42—28no—
1611C42—28no—
1612C42—24no—
1613C42—24no—
1614C42—24no—
1615C42—24no—
1616C42—24no—
1617C42—24no—
1618C42—22no—
1619C42—24no—
1620C42—22no—
1621C42—24no—
1622C42—28no—
1623C42—24no—
1624C42—24no—
1625C42—44no—
1626C42—44no—
1627C42—42no—
1628C42—42no—
1629C42—42no—
1630C42C22×D418yes—
1631C42C22×D414yes—
1632C42C22×D414yes—
1633C42C22×D418yes—
1634C42C22×D414yes—
1635C42C22×D418yes—
1636C42C22×D414yes—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—24no—
1642C23—21no—
1643C23—21no—
1644C23—24no—
1645C23—24no—
1646C23—21no—
1647C23—22no—
1648C23—21no—
1649C23—22no—
1650C23—24no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—24no—
1655C23—21no—
1656C23—21no—
1657C23—22no—
1658C23—24no—
1659C23—24no—
1660C23—24no—
1661C23—24no—
1662C23—24no—
1663C23—24no—
1664C23—21no—
1665C23—21no—
1666C23—22no—
1667C23C23×D414yes—
1668C23C23×D412yes—
1669C23C2611yescharacteristic
1670Q8—28no—
1671Q8—28no—
1672Q8—48no—
1673Q8—44no—
1674Q8—48no—
1675Q8—44no—
1676Q8—48no—
1677Q8—84no—
1678Q8—82no—
1679D4—28no—
1680D4—48no—
1681D4—416no—
1682D4—48no—
1683D4—48no—
1684D4—416no—
1685D4—44no—
1686D4—48no—
1687D4—88no—
1688D4—84no—
1689D4—82no—
1690D4—84no—
1691D4—84no—
1692D4—84no—
1693D4—84no—
1694D4—82no—
1695D4—84no—
1696D4—88no—
1697D4—82no—
1698D4—84no—
1699D4—88no—
1700D4—164no—
1701D4—164no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—28no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—24no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—24no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—48no—
1766C2×C4—44no—
1767C2×C4—44no—
1768C2×C4—48no—
1769C2×C4—48no—
1770C2×C4—416no—
1771C2×C4—48no—
1772C2×C4—48no—
1773C2×C4—416no—
1774C2×C4—48no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—88no—
1778C2×C4—88no—
1779C2×C4—84no—
1780C2×C4—84no—
1781C2×C4—84no—
1782C2×C4—84no—
1783C2×C4—88no—
1784C2×C4C23×D412yes—
1785C2×C4C23×D414yes—
1786C2×C4C23×D414yes—
1787C2×C4C23×D414yes—
1788C2×C4C23×D412yes—
1789C2×C4C23×D412yes—
1790C2×C4C23×D412yes—
1791C2×C4C23×D412yes—
1792C2×C4C23×D412yes—
1793C2×C4#58514yes—
1794C2×C4#58514yes—
1795C2×C4#58512yes—
1796C2×C4#58512yes—
1797C22—22no—
1798C22—24no—
1799C22—22no—
1800C22—24no—
1801C22—22no—
1802C22—24no—
1803C22—44no—
1804C22—42no—
1805C22—44no—
1806C22—42no—
1807C22—44no—
1808C22—44no—
1809C22—42no—
1810C22—44no—
1811C22—42no—
1812C22—42no—
1813C22—44no—
1814C22—42no—
1815C22—44no—
1816C22—44no—
1817C22—44no—
1818C22—41no—
1819C22—42no—
1820C22—41no—
1821C22—41no—
1822C22—42no—
1823C22—44no—
1824C22—41no—
1825C22—41no—
1826C22—42no—
1827C22—44no—
1828C22—41no—
1829C22C24×D411yescharacteristic
1830C22C2×#58511yescharacteristic
1831C22C2×#58512yes—
1832C22C2×#58512yes—
1833C22C2×#58511yescharacteristic
1834C4—24no—
1835C4—22no—
1836C4—24no—
1837C4—24no—
1838C4—22no—
1839C4—22no—
1840C4—24no—
1841C4—22no—
1842C4—22no—
1843C4—24no—
1844C4—44no—
1845C4—42no—
1846C4—42no—
1847C4—42no—
1848C4—44no—
1849C4—42no—
1850C4—41no—
1851C4—42no—
1852C4—41no—
1853C4—42no—
1854C4—42no—
1855C4—41no—
1856C4—42no—
1857C4—41no—
1858C4—41no—
1859C4—44no—
1860C4—41no—
1861C4—42no—
1862C4#344914yes—
1863C2—42no—
1864C2—44no—
1865C2—82no—
1866C2—84no—
1867C2—81no—
1868C2—81no—
1869C2C2×#344911yescharacteristic
1870C2#6281111yescharacteristic
1871C2#6281211yescharacteristic
1872C2#6303012yes—
1873C2#6303112yes—
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. #42649C2semidirect
4. #42645C2semidirect
5. #42429C2semidirect
6. #42425C2semidirect
7. #42386C2semidirect
8. #42311C2semidirect
9. #42152C2semidirect
10. #41954C2semidirect
11. #39954C2semidirect
12. #39951C2semidirect
13. #39943C2semidirect
14. #39940C2semidirect
15. #39865C2semidirect
16. #39864C2semidirect
17. #38385C2semidirect
18. #38384C2semidirect
19. #37559C2semidirect
20. #37543C2semidirect
21. #36471C2semidirect
22. #36469C2semidirect
23. #36231C2semidirect
24. #36230C2semidirect
25. #36041C2semidirect
26. #35844C2semidirect
27. #35749C2semidirect
28. #35712C2semidirect
29. #35342C2semidirect
30. #35191C2semidirect
31. #35119C2semidirect
32. #35111C2semidirect
33. #34972C2semidirect
34. #34876C2semidirect
35. #34123C2semidirect
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
#426492
#426452
#424292
#424252
#423862
#423112
#421522
#419542
#399542
#399512
#399432
#399402
#398652
#398642
#383852
#383842
#375592
#375432
#364712
#364692
#362312
#362302
#360412
#358442
#357492
#357122
#353422
#351912
#351192
#351112
#349722
#348762
#341232