Finite Group Databasebeta

← #7648505

Subgroups — #7648505

Order 512.

6768 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3512C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#42172C212yesmaximal, complemented
4#42171C212yesmaximal, complemented
5#41990C212yesmaximal, complemented
6#41987C212yesmaximal, complemented
7#41422C212yesmaximal, complemented
8#41420C212yesmaximal, complemented
9#40605C212yesmaximal, complemented
10#40603C212yesmaximal, complemented
11#39943C214yesmaximal, complemented
12#39940C214yesmaximal, complemented
13#38433C214yesmaximal, complemented
14#38431C214yesmaximal, complemented
15#37621C211yesmaximal, characteristic, complemented
16#37559C211yesmaximal, characteristic, complemented
17#37550C211yesmaximal, characteristic, complemented
18#37549C211yesmaximal, characteristic, complemented
19#37378C212yesmaximal, complemented
20#37276C212yesmaximal, complemented
21#37272C212yesmaximal, complemented
22#37272C212yesmaximal, complemented
23#35521C212yesmaximal, complemented
24#35520C212yesmaximal, complemented
25#35309C212yesmaximal, complemented
26#35292C211yesmaximal, characteristic, complemented
27#35259C212yesmaximal, complemented
28#35247C211yesmaximal, characteristic, complemented
29#35234C211yesmaximal, characteristic, complemented
30#35212C211yesmaximal, characteristic, complemented
31#35138C211yesmaximal, characteristic, complemented
32#35111C211yesmaximal, characteristic, complemented
33#34964C211yesmaximal, characteristic, complemented
34#34911C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36#3512—216no—
37#3480—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2212yes—
40C2×#557C2211yescharacteristic
41C2×#556C2212yes—
42C2×#556C2211yescharacteristic
43C2×#553C2212yes—
44C2×#553C2212yes—
45C2×#553C2211yescharacteristic
46C2×#553C2212yes—
47C2×#553C2212yes—
48C2×#553C2212yes—
49C2×#553C2212yes—
50C2×#553C2212yes—
51C2×#553C2212yes—
52C2×#553C2211yescharacteristic
53C2×#552C2212yes—
54C2×#552C2212yes—
55C2×#550C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#548C2211yescharacteristic
58C2×#541C2211yescharacteristic
59C2×#541C2211yescharacteristic
60C2×#540C2211yescharacteristic
61C2×#540C2211yescharacteristic
62C2×#537C2211yescharacteristic
63C2×#537C2211yescharacteristic
64C2×#532C2211yescharacteristic
65C2×#532C2212yes—
66C2×#532C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2211yescharacteristic
73C2×#529C2211yescharacteristic
74C2×#529C2212yes—
75C22×#125C2211yescharacteristic
76C2×#520C2211yescharacteristic
77C2×#520C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic
79C2×C4×#41C2211yescharacteristic
80C2×C4×#41C2212yes—
81C2×C4×#41C2211yescharacteristic
82C22×C4×Q8C2211yescharacteristic
83#2860C2214yes—
84#2857C2212yes—
85#2856C2212yes—
86#2855C2212yes—
87#2855C2212yes—
88#2854C2214yes—
89#2854C2212yes—
90#2854C2212yes—
91#2851C2212yes—
92#2851C2212yes—
93#2822C2212yes—
94#2821C2212yes—
95#2820C2212yes—
96#2818C2212yes—
97#2816C2212yes—
98#2815C2212yes—
99#2813C2212yes—
100#2813C2212yes—
101#2730C2214yes—
102#2730C2214yes—
103#2729C2214yes—
104#2729C2214yes—
105#2726C2214yes—
106#2725C2214yes—
107#2722C2214yes—
108#2715C2214yes—
109#2707C2214yes—
110#2707C2214yes—
111#2705C2214yes—
112#2704C2214yes—
113#2699C2214yes—
114#2699C2214yes—
115#2695C2214yes—
116#2691C2214yes—
117#2691C2214yes—
118#2688C2214yes—
119#2688C2214yes—
120#2686C2214yes—
121#2686C2214yes—
122#2682C2214yes—
123#2682C2214yes—
124#2682C2214yes—
125#2681C2214yes—
126#2676C2214yes—
127#2675C2214yes—
128#2673C2214yes—
129#2673C2214yes—
130#2671C2214yes—
131#2671C2214yes—
132#2671C2214yes—
133#2664C2214yes—
134#2664C2212yes—
135#2663C2212yes—
136#2662C2212yes—
137#2662C2214yes—
138#2661C2214yes—
139#2661C2214yes—
140#2661C2212yes—
141#2637C2212yes—
142#2637C2212yes—
143#2635C2212yes—
144#2635C2212yes—
145#2634C2212yes—
146#2633C2212yes—
147#2633C2212yes—
148#2631C2212yes—
149#2629C2212yes—
150#2629C2212yes—
151#2628C2212yes—
152#2627C2212yes—
153#2624C2212yes—
154#2623C2212yes—
155#2621C2212yes—
156#2619C2212yes—
157#2619C2212yes—
158#2618C2212yes—
159#2616C2212yes—
160#2616C2212yes—
161#2615C2212yes—
162#2615C2212yes—
163#2615C2212yes—
164#2614C2212yes—
165#2611C2214yes—
166#2611C2212yes—
167#2610C2212yes—
168#2610C2214yes—
169#2604C2214yes—
170#2604C2212yes—
171#2603C2212yes—
172#2603C2214yes—
173#2602C2214yes—
174#2602C2214yes—
175#2601C2214yes—
176#2601C2214yes—
177#2599C2212yes—
178#2599C2212yes—
179#2592C2211yescharacteristic
180#2592C2211yescharacteristic
181#2592C2211yescharacteristic
182#2592C2211yescharacteristic
183#2584C2211yescharacteristic
184#2584C2211yescharacteristic
185#2584C2211yescharacteristic
186#2584C2211yescharacteristic
187#2582C2212yes—
188#2581C2212yes—
189#2580C2212yes—
190#2580C2212yes—
191#2564C2212yes—
192#2562C2211yescharacteristic
193#2562C2211yescharacteristic
194#2562C2211yescharacteristic
195#2562C2211yescharacteristic
196#2543C2212yes—
197#2540C2211yescharacteristic
198#2540C2211yescharacteristic
199#2540C2211yescharacteristic
200#2540C2211yescharacteristic
201#2538C2212yes—
202#2538C2212yes—
203#2537C2212yes—
204#2536C2212yes—
205#2535C2212yes—
206#2535C2212yes—
207#2498C2212yes—
208#2487C2212yes—
209#2487C2212yes—
210#2486C2212yes—
211#2486C2212yes—
212#2486C2212yes—
213#2484C2212yes—
214#2481C2214yes—
215#2479C2214yes—
216#2477C2214yes—
217#2475C2214yes—
218#2473C2214yes—
219#2471C2214yes—
220#2468C2214yes—
221#2468C2214yes—
222#2468C2214yes—
223#2466C2214yes—
224#2466C2214yes—
225#2466C2214yes—
226#2464C2214yes—
227#2464C2214yes—
228#2464C2214yes—
229#2462C2214yes—
230#2462C2214yes—
231#2461C2214yes—
232#2460C2214yes—
233#2460C2214yes—
234#2459C2214yes—
235#2458C2214yes—
236#2458C2214yes—
237#2457C2214yes—
238#2456C2214yes—
239#2456C2214yes—
240#2456C2214yes—
241#2456C2214yes—
242#2456C2214yes—
243#2455C2214yes—
244#2449C2214yes—
245#2443C2214yes—
246#2430C2212yes—
247#2417C2212yes—
248#2417C2212yes—
249#2416C2212yes—
250#2416C2212yes—
251#2415C2212yes—
252#2415C2212yes—
253#2414C2214yes—
254#2414C2214yes—
255#2414C2212yes—
256#2414C2212yes—
257#2413C2214yes—
258#2413C2214yes—
259#2409C2212yes—
260#2407C2212yes—
261#2407C2212yes—
262#2407C2212yes—
263#2407C2212yes—
264#2406C2212yes—
265#2396C2212yes—
266#2395C2212yes—
267#2392C2212yes—
268#2388C2212yes—
269#2324C2214yes—
270#2324C2212yes—
271#2324C2212yes—
272#2323C2214yes—
273#2323C2212yes—
274#2323C2212yes—
275#2322C2214yes—
276#2322C2214yes—
277#2320C2212yes—
278#2319C2212yes—
279#2318C2212yes—
280#2318C2212yes—
281#2317C2212yes—
282#2314C2212yes—
283#2314C2212yes—
284#2311C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×#121C2214yes—
288C4×#121C2212yes—
289C4×#121C2212yes—
290#2295C2212yes—
291#2293C2212yes—
292#2293C2214yes—
293#2290C2212yes—
294#2290C2212yes—
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic
297#2283C2211yescharacteristic
298#2283C2211yescharacteristic
299C4×#117C2211yescharacteristic
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C23×Q8C2311yescharacteristic
308#559—28no—
309#559—216no—
310#557—28no—
311#556—216no—
312#556—28no—
313#553—28no—
314#553—28no—
315#553—216no—
316#553—216no—
317#553—216no—
318#553—216no—
319#553—216no—
320#553—216no—
321#553—216no—
322#553—216no—
323#552—216no—
324#552—216no—
325#550—28no—
326#548—28no—
327#548—28no—
328#541—28no—
329#541—28no—
330#540—28no—
331#540—28no—
332#537—28no—
333#537—28no—
334#532—216no—
335#532—28no—
336#532—28no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×#127C2311yescharacteristic
341C2×#127C2311yescharacteristic
342C2×#127C2312yes—
343#529—216no—
344#529—216no—
345#529—28no—
346#529—28no—
347#529—28no—
348#529—28no—
349#529—28no—
350#529—28no—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#125—28no—
366C2×#125C2311yescharacteristic
367C2×#125C2311yescharacteristic
368C2×#125C2312yes—
369C2×#125C2311yescharacteristic
370C2×#125C2311yescharacteristic
371C2×#125C2311yescharacteristic
372C2×#125C2312yes—
373C2×#125C2311yescharacteristic
374C2×#125C2312yes—
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#125C2312yes—
379C2×#125C2312yes—
380C2×#124C2311yescharacteristic
381C2×#124C2311yescharacteristic
382C2×#124C2311yescharacteristic
383C2×#124C2311yescharacteristic
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#124C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2314yes—
404C2×#123C2314yes—
405C2×#123C2314yes—
406C2×#123C2314yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2314yes—
455C2×#121C2314yes—
456C2×#121C2314yes—
457C2×#121C2314yes—
458#520—28no—
459#520—28no—
460C4×#41—216no—
461C4×#41—28no—
462C4×#41—28no—
463C4×#41D4116yescomplemented
464C2×C4×Q8—28no—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2312yes—
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2312yes—
478C2×C4×Q8C2312yes—
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2312yes—
511C2×C4×D4C2312yes—
512C2×C4×D4C2314yes—
513C2×C4×D4C2314yes—
514C2×C4×D4C2311yescharacteristic
515C2×C4×D4C2311yescharacteristic
516C2×C4×D4C2311yescharacteristic
517C2×C4×D4C2311yescharacteristic
518C2×C4×D4C2311yescharacteristic
519C2×C4×D4C2311yescharacteristic
520C2×#117C2312yes—
521C2×#117C2312yes—
522C2×#117C2312yes—
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2312yes—
527C2×#117C2312yes—
528C2×#117C2311yescharacteristic
529C2×#117C2311yescharacteristic
530C2×#117C2312yes—
531C2×#117C2312yes—
532C2×#117C2312yes—
533C2×#117C2312yes—
534C2×#117C2312yes—
535C2×#117C2311yescharacteristic
536C2×#117C2311yescharacteristic
537C2×#117C2311yescharacteristic
538C22×C4⋊C4C2312yes—
539C22×C4⋊C4C2312yes—
540C22×C4⋊C4C2312yes—
541C22×C4⋊C4C2311yescharacteristic
542C22×C4⋊C4C2311yescharacteristic
543C22×C4⋊C4C2311yescharacteristic
544C22×C4⋊C4C2312yes—
545C22×C4⋊C4C2312yes—
546C22×C4⋊C4C2312yes—
547C22×C42C2312yes—
548C22×C42C2312yes—
549C22×C42C2312yes—
550C22×C42C2312yes—
551C22×C42C2311yescharacteristic
552C22×C42C2311yescharacteristic
553C22×C42C2311yescharacteristic
554#400C2312yes—
555#400C2312yes—
556#400C2312yes—
557#400C2312yes—
558#400C2314yes—
559#400C2314yes—
560#400C2314yes—
561#399C2312yes—
562#399C2312yes—
563#399C2312yes—
564#399C2314yes—
565#399C2314yes—
566#399C2312yes—
567#399C2314yes—
568#398C2314yes—
569#398C2314yes—
570#398C2312yes—
571#398C2312yes—
572#398C2314yes—
573#398C2314yes—
574#398C2314yes—
575#398C2314yes—
576#398C2314yes—
577#398C2312yes—
578#398C2312yes—
579#398C2314yes—
580#398C2314yes—
581#398C2314yes—
582#398C2314yes—
583#398C2314yes—
584#398C2314yes—
585#397C2314yes—
586#397C2314yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2314yes—
592#397C2314yes—
593#397C2314yes—
594#397C2314yes—
595#397C2314yes—
596#396C2314yes—
597#396C2314yes—
598#396C2314yes—
599#396C2314yes—
600#396C2314yes—
601#396C2314yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#395C2312yes—
609#395C2312yes—
610#395C2314yes—
611#395C2314yes—
612#395C2312yes—
613#395C2312yes—
614#395C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#393C2312yes—
641#393C2312yes—
642#393C2314yes—
643#393C2312yes—
644#393C2312yes—
645#393C2314yes—
646#393C2314yes—
647#392C2312yes—
648#392C2314yes—
649#392C2312yes—
650#392C2314yes—
651#392C2314yes—
652#392C2314yes—
653#392C2314yes—
654#392C2312yes—
655#392C2314yes—
656#392C2314yes—
657#392C2314yes—
658#392C2314yes—
659#392C2314yes—
660#392C2314yes—
661#392C2314yes—
662#392C2312yes—
663#392C2314yes—
664#392C2314yes—
665#392C2314yes—
666#391C2314yes—
667#391C2312yes—
668#391C2312yes—
669#391C2314yes—
670#391C2312yes—
671#391C2312yes—
672#390C2314yes—
673#390C2312yes—
674#390C2312yes—
675#390C2314yes—
676#390C2314yes—
677#390C2314yes—
678#390C2314yes—
679#390C2314yes—
680#390C2312yes—
681#390C2314yes—
682#390C2312yes—
683#390C2314yes—
684#390C2314yes—
685#390C2314yes—
686#390C2314yes—
687#390C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2314yes—
692#389C2314yes—
693#389C2312yes—
694#389C2314yes—
695#389C2312yes—
696#389C2314yes—
697#389C2314yes—
698#389C2314yes—
699#389C2312yes—
700#389C2312yes—
701#389C2314yes—
702#389C2312yes—
703#389C2314yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2314yes—
708#389C2314yes—
709#389C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2314yes—
757#387C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#385C2314yes—
796#385C2314yes—
797#385C2314yes—
798#384C2312yes—
799#384C2312yes—
800#383C2312yes—
801#383C2312yes—
802#382C2312yes—
803#382C2312yes—
804#382C2312yes—
805#382C2312yes—
806#381C2312yes—
807#381C2312yes—
808#381C2314yes—
809#381C2314yes—
810#381C2314yes—
811#381C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2314yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825#380C2312yes—
826#380C2312yes—
827#380C2314yes—
828#380C2314yes—
829#380C2314yes—
830#380C2314yes—
831#380C2314yes—
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2314yes—
843C4×C4⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2314yes—
852#376C2312yes—
853#376C2312yes—
854#376C2312yes—
855C2×#95C2312yes—
856C43C2312yes—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41C2×D418yes—
870C22×Q8—24no—
871C22×Q8—44no—
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2411yescharacteristic
877C22×Q8C2412yes—
878C22×Q8C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2411yescharacteristic
904C22×D4C2411yescharacteristic
905C22×D4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2414yes—
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C4⋊Q8—28no—
933C4⋊Q8—24no—
934C4⋊Q8—24no—
935#127—28no—
936#127—24no—
937#127—24no—
938#126—28no—
939#126—28no—
940#126—28no—
941#126—28no—
942#126—28no—
943#126—28no—
944#126—28no—
945#126—28no—
946#126—28no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—28no—
952#125—28no—
953#125—28no—
954#125—28no—
955#125—28no—
956#125—28no—
957#125—28no—
958#125—24no—
959#125—24no—
960#125—24no—
961#125—24no—
962#125—28no—
963#125—28no—
964#125—24no—
965#125—24no—
966#124—28no—
967#124—28no—
968#124—28no—
969#124—28no—
970#124—24no—
971#124—24no—
972#124—24no—
973#124—24no—
974#124—28no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—28no—
988#123—28no—
989#123—48no—
990#123—48no—
991#123—84no—
992#123—84no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—24no—
996C22⋊Q8—24no—
997C22⋊Q8—24no—
998C22⋊Q8—24no—
999C22⋊Q8—24no—
1000C22⋊Q8—24no—
1001C22⋊Q8—28no—
1002C22⋊Q8—28no—
1003C22⋊Q8—48no—
1004C22⋊Q8—44no—
1005C22⋊Q8—44no—
1006C22⋊Q8—44no—
1007C22⋊Q8—44no—
1008#121—28no—
1009#121—28no—
1010#121—28no—
1011#121—28no—
1012#121—28no—
1013#121—28no—
1014#121—28no—
1015#121—28no—
1016#121—28no—
1017#121—28no—
1018#121—24no—
1019#121—24no—
1020#121—24no—
1021#121—24no—
1022#121—24no—
1023#121—24no—
1024#121—24no—
1025#121—24no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—28no—
1030#121—28no—
1031#121—28no—
1032#121—28no—
1033#121—28no—
1034#121—28no—
1035#121—48no—
1036#121—48no—
1037#121—44no—
1038#121—44no—
1039#121—44no—
1040#121—44no—
1041#121—84no—
1042#121—84no—
1043#121—84no—
1044C4×Q8—28no—
1045C4×Q8—28no—
1046C4×Q8—24no—
1047C4×Q8—28no—
1048C4×Q8—24no—
1049C4×Q8—24no—
1050C4×Q8—24no—
1051C4×Q8—28no—
1052C4×Q8—24no—
1053C4×Q8—24no—
1054C4×Q8—24no—
1055C4×Q8—24no—
1056C4×Q8—24no—
1057C4×Q8—24no—
1058C4×Q8C2×D418yes—
1059C4×Q8C2×D418yes—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—24no—
1081C4×D4—24no—
1082C4×D4—24no—
1083C4×D4—24no—
1084C4×D4—24no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—24no—
1088C4×D4—28no—
1089C4×D4—28no—
1090C4×D4—28no—
1091C4×D4—48no—
1092C4×D4—84no—
1093C4×D4C2×D418yes—
1094C4×D4C2×D418yes—
1095C4×D4C2×D418yes—
1096C4×D4C2×D418yes—
1097C4×D4C2×D418yes—
1098C4×D4C2×D418yes—
1099#117—24no—
1100#117—24no—
1101#117—28no—
1102#117—28no—
1103#117—28no—
1104#117—28no—
1105#117—28no—
1106#117—28no—
1107#117—28no—
1108#117—28no—
1109#117—28no—
1110#117—28no—
1111#117—44no—
1112#117—82no—
1113#117—82no—
1114#117C2×D418yes—
1115#117C2×D418yes—
1116#117C2×D418yes—
1117C2×C4⋊C4—28no—
1118C2×C4⋊C4—24no—
1119C2×C4⋊C4—24no—
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4—28no—
1122C2×C4⋊C4—28no—
1123C2×C4⋊C4—28no—
1124C2×C4⋊C4—28no—
1125C2×C4⋊C4—44no—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2414yes—
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C4⋊C4C2411yescharacteristic
1191C2×C4⋊C4C2411yescharacteristic
1192C2×C4⋊C4C2411yescharacteristic
1193C2×C4⋊C4C2411yescharacteristic
1194C2×C4⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2411yescharacteristic
1257C2×C22⋊C4C2411yescharacteristic
1258C2×C22⋊C4C2411yescharacteristic
1259C2×C22⋊C4C2411yescharacteristic
1260C2×C22⋊C4C2411yescharacteristic
1261C2×C22⋊C4C2411yescharacteristic
1262C2×C42—28no—
1263C2×C42—28no—
1264C2×C42—28no—
1265C2×C42—82no—
1266C2×C42C2×D418yes—
1267C2×C42C2×D418yes—
1268C2×C42C2×D418yes—
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2412yes—
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2414yes—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2414yes—
1286C2×C42C2414yes—
1287C2×C42C2412yes—
1288C2×C42C2411yescharacteristic
1289C2×C42C2411yescharacteristic
1290C2×C42C2411yescharacteristic
1291C2×C42C2411yescharacteristic
1292C2×C42C2411yescharacteristic
1293C2×C42C2411yescharacteristic
1294C2×C42C2411yescharacteristic
1295C2×C42C2411yescharacteristic
1296C2×C42C2411yescharacteristic
1297C2×C42C2411yescharacteristic
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336C24C2512yes—
1337C24C2512yes—
1338C24C2512yes—
1339C24C2512yes—
1340C24C2511yescharacteristic
1341C24C2511yescharacteristic
1342C24C2511yescharacteristic
1343#41—416no—
1344#41—416no—
1345#41—416no—
1346#41—432no—
1347#41—416no—
1348#41—416no—
1349C2×Q8—22no—
1350C2×Q8—24no—
1351C2×Q8—22no—
1352C2×Q8—22no—
1353C2×Q8—22no—
1354C2×Q8—24no—
1355C2×Q8—24no—
1356C2×Q8—24no—
1357C2×Q8—24no—
1358C2×Q8—24no—
1359C2×Q8—42no—
1360C2×Q8—42no—
1361C2×Q8—42no—
1362C2×Q8—42no—
1363C2×Q8—42no—
1364C2×Q8—416no—
1365C2×Q8C22×D414yes—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—44no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4C22×D414yes—
1433C2×D4C22×D414yes—
1434C2×D4C22×D414yes—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—41no—
1462C22×C4—41no—
1463C22×C4—41no—
1464C22×C4—41no—
1465C22×C4—41no—
1466C22×C4—41no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—44no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4C22×D414yes—
1494C22×C4C22×D414yes—
1495C22×C4C22×D414yes—
1496C22×C4C22×D414yes—
1497C22×C4C22×D414yes—
1498C22×C4C22×D414yes—
1499C22×C4C22×D414yes—
1500C22×C4C22×D414yes—
1501C22×C4C22×D414yes—
1502C22×C4C2514yes—
1503C22×C4C2514yes—
1504C22×C4C2514yes—
1505C22×C4C2514yes—
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2511yescharacteristic
1518C22×C4C2511yescharacteristic
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2511yescharacteristic
1527C22×C4C2511yescharacteristic
1528C22×C4C2512yes—
1529C22×C4C2511yescharacteristic
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—22no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—22no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—28no—
1577C4⋊C4—28no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—44no—
1592C4⋊C4—44no—
1593C4⋊C4C22×D414yes—
1594C4⋊C4C22×D414yes—
1595C4⋊C4C22×D414yes—
1596C4⋊C4C22×D414yes—
1597C4⋊C4C22×D414yes—
1598C4⋊C4C22×D414yes—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—28no—
1632C22⋊C4—28no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4C22×D414yes—
1661C22⋊C4C22×D414yes—
1662C22⋊C4C22×D414yes—
1663C22⋊C4C22×D414yes—
1664C22⋊C4C22×D414yes—
1665C22⋊C4C22×D414yes—
1666C42—24no—
1667C42—24no—
1668C42—24no—
1669C42—24no—
1670C42—24no—
1671C42—24no—
1672C42—24no—
1673C42—24no—
1674C42—24no—
1675C42—24no—
1676C42—24no—
1677C42—24no—
1678C42—42no—
1679C42—42no—
1680C42—44no—
1681C42—42no—
1682C42—44no—
1683C42—42no—
1684C42—44no—
1685C42C22×D414yes—
1686C42C22×D414yes—
1687C42C22×D414yes—
1688C42C22×D414yes—
1689C42C22×D414yes—
1690C42C22×D414yes—
1691C42C22×D414yes—
1692C42C22×D414yes—
1693C42C22×D414yes—
1694C42C22×D414yes—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—21no—
1705C23—21no—
1706C23—21no—
1707C23—22no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—24no—
1712C23—24no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—24no—
1719C23—24no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23C23×D412yes—
1732C23C23×D412yes—
1733C23C23×D412yes—
1734C23C2611yescharacteristic
1735Q8—28no—
1736Q8—44no—
1737Q8—48no—
1738Q8—44no—
1739Q8—48no—
1740Q8—44no—
1741Q8—44no—
1742D4—44no—
1743D4—44no—
1744D4—44no—
1745D4—48no—
1746D4—48no—
1747D4—44no—
1748D4—44no—
1749D4—48no—
1750D4—48no—
1751D4—48no—
1752D4—48no—
1753D4—48no—
1754D4—44no—
1755D4—44no—
1756D4—84no—
1757D4—84no—
1758D4—84no—
1759D4—84no—
1760D4—84no—
1761D4—84no—
1762D4—84no—
1763D4—84no—
1764D4—84no—
1765D4—88no—
1766D4—88no—
1767D4—164no—
1768D4—164no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—28no—
1787C2×C4—28no—
1788C2×C4—28no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—24no—
1801C2×C4—24no—
1802C2×C4—24no—
1803C2×C4—24no—
1804C2×C4—24no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—24no—
1809C2×C4—24no—
1810C2×C4—24no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—24no—
1819C2×C4—24no—
1820C2×C4—24no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—24no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—44no—
1831C2×C4—44no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—48no—
1837C2×C4—48no—
1838C2×C4—48no—
1839C2×C4—48no—
1840C2×C4—48no—
1841C2×C4—48no—
1842C2×C4—48no—
1843C2×C4—84no—
1844C2×C4—84no—
1845C2×C4—84no—
1846C2×C4—84no—
1847C2×C4—84no—
1848C2×C4—84no—
1849C2×C4—84no—
1850C2×C4—84no—
1851C2×C4—84no—
1852C2×C4—88no—
1853C2×C4C23×D412yes—
1854C2×C4C23×D412yes—
1855C2×C4C23×D412yes—
1856C2×C4C23×D412yes—
1857C2×C4C23×D412yes—
1858C2×C4C23×D412yes—
1859C2×C4C23×D412yes—
1860C2×C4C23×D412yes—
1861C2×C4C23×D412yes—
1862C2×C4C23×D412yes—
1863C2×C4C23×D412yes—
1864C2×C4C23×D412yes—
1865C2×C4#58514yes—
1866C2×C4#58514yes—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—42no—
1877C22—42no—
1878C22—42no—
1879C22—42no—
1880C22—42no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—44no—
1896C22—44no—
1897C22—42no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—44no—
1902C22—42no—
1903C22—44no—
1904C22—42no—
1905C22—42no—
1906C22C24×D411yescharacteristic
1907C22C2×#58512yes—
1908C22C2×#58512yes—
1909C22H(7,𝔽2)11yescharacteristic
1910C222−1+611yescharacteristic
1911C4—22no—
1912C4—22no—
1913C4—22no—
1914C4—24no—
1915C4—22no—
1916C4—22no—
1917C4—22no—
1918C4—22no—
1919C4—22no—
1920C4—22no—
1921C4—22no—
1922C4—22no—
1923C4—42no—
1924C4—42no—
1925C4—42no—
1926C4—42no—
1927C4—42no—
1928C4—42no—
1929C4—42no—
1930C4—42no—
1931C4—42no—
1932C4—42no—
1933C4—42no—
1934C4—44no—
1935C4—44no—
1936C4—44no—
1937C4—44no—
1938C4#344914yes—
1939C2—42no—
1940C2—42no—
1941C2—42no—
1942C2—82no—
1943C2—82no—
1944C2—82no—
1945C2—82no—
1946C2C2×#344911yescharacteristic
1947C2#6281111yescharacteristic
1948C2#6285311yescharacteristic
1949C2#6293912yes—
1950C2#6296912yes—
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×#3512C2semidirect
2. C2×#3480C2semidirect
3. #42172C2semidirect
4. #42171C2semidirect
5. #41990C2semidirect
6. #41987C2semidirect
7. #41422C2semidirect
8. #41420C2semidirect
9. #40605C2semidirect
10. #40603C2semidirect
11. #39943C2semidirect
12. #39940C2semidirect
13. #38433C2semidirect
14. #38431C2semidirect
15. #37621C2semidirect
16. #37559C2semidirect
17. #37550C2semidirect
18. #37549C2semidirect
19. #37378C2semidirect
20. #37276C2semidirect
21. #37272C2semidirect
22. #37272C2semidirect
23. #35521C2semidirect
24. #35520C2semidirect
25. #35309C2semidirect
26. #35292C2semidirect
27. #35259C2semidirect
28. #35247C2semidirect
29. #35234C2semidirect
30. #35212C2semidirect
31. #35138C2semidirect
32. #35111C2semidirect
33. #34964C2semidirect
34. #34911C2semidirect
35. #34060C2semidirect
463. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35122
C2×#34802
#421722
#421712
#419902
#419872
#414222
#414202
#406052
#406032
#399432
#399402
#384332
#384312
#376212
#375592
#375502
#375492
#373782
#372762
#372722
#355212
#355202
#353092
#352922
#352592
#352472
#352342
#352122
#351382
#351112
#349642
#349112
#340602