Finite Group Databasebeta

← #7645604

Subgroups — #7645604

Order 512.

6814 conjugacy classes of subgroups.

The subgroup lattice has 1954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#42307C212yesmaximal, complemented
4#42304C212yesmaximal, complemented
5#42296C212yesmaximal, complemented
6#42294C212yesmaximal, complemented
7#41949C212yesmaximal, complemented
8#41946C212yesmaximal, complemented
9#41938C212yesmaximal, complemented
10#41936C212yesmaximal, complemented
11#39719C212yesmaximal, complemented
12#39718C212yesmaximal, complemented
13#38903C212yesmaximal, complemented
14#38902C212yesmaximal, complemented
15#38027C212yesmaximal, complemented
16#38026C212yesmaximal, complemented
17#38025C212yesmaximal, complemented
18#38024C212yesmaximal, complemented
19#37622C211yesmaximal, characteristic, complemented
20#37559C211yesmaximal, characteristic, complemented
21#37551C211yesmaximal, characteristic, complemented
22#37546C211yesmaximal, characteristic, complemented
23#37193C214yesmaximal, complemented
24#36745C214yesmaximal, complemented
25#35362C214yesmaximal, complemented
26#35338C211yesmaximal, characteristic, complemented
27#35234C211yesmaximal, characteristic, complemented
28#35212C211yesmaximal, characteristic, complemented
29#35180C211yesmaximal, characteristic, complemented
30#35129C211yesmaximal, characteristic, complemented
31#35111C211yesmaximal, characteristic, complemented
32#35009C214yesmaximal, complemented
33#34964C211yesmaximal, characteristic, complemented
34C2×#2592C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36#3514—216no—
37C2×#559C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#555C2212yes—
40C2×#551C2212yes—
41C2×#551C2212yes—
42C2×D4×Q8C2211yescharacteristic
43C2×#548C2211yescharacteristic
44C2×#548C2211yescharacteristic
45C2×#546C2212yes—
46C2×#546C2211yescharacteristic
47C2×#546C2211yescharacteristic
48C2×D42C2211yescharacteristic
49#3461—216no—
50C2×#544C2211yescharacteristic, complemented
51C2×#542C2212yes—
52C2×#542C2212yescomplemented
53C2×#542C2211yescharacteristic, complemented
54C2×#542C2211yescharacteristic, complemented
55C2×#541C2211yescharacteristic, complemented
56C2×#541C2211yescharacteristic, complemented
57C2×#541C2212yescomplemented
58C2×#539C2212yes—
59C2×#539C2212yescomplemented
60C2×#538C2212yes—
61C2×#538C2212yes—
62C2×#537C2211yescharacteristic
63C2×#536C2211yescharacteristic
64C2×#536C2211yescharacteristic, complemented
65C2×#533C2211yescharacteristic, complemented
66C2×#533C2212yescomplemented
67C2×#533C2211yescharacteristic, complemented
68C2×#532C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2212yes—
73C2×#529C2212yescomplemented
74C2×#529C2211yescharacteristic, complemented
75C2×#529C2211yescharacteristic, complemented
76C2×#529C2212yescomplemented
77C22×#124C2211yescharacteristic
78C22×#124C2211yescharacteristic
79C2×#518C2212yes—
80C2×C4×#41C2211yescharacteristic
81C2×C4×#41C2211yescharacteristic, complemented
82C22×C4×Q8C2211yescharacteristic, complemented
83#2861C2214yescomplemented
84#2860C2214yescomplemented
85#2855C2212yescomplemented
86#2854C2212yes—
87#2854C2214yescomplemented
88#2850C2212yes—
89#2850C2212yescomplemented
90#2850C2214yescomplemented
91#2821C2212yescomplemented
92#2821C2212yescomplemented
93#2820C2212yescomplemented
94#2819C2212yescomplemented
95#2816C2212yescomplemented
96#2815C2212yescomplemented
97#2814C2212yescomplemented
98#2814C2212yescomplemented
99#2731C2214yescomplemented
100#2730C2214yescomplemented
101#2729C2214yescomplemented
102#2728C2214yescomplemented
103#2723C2214yescomplemented
104#2716C2214yescomplemented
105#2716C2214yescomplemented
106#2715C2214yescomplemented
107#2714C2214yes—
108#2713C2214yescomplemented
109#2712C2214yescomplemented
110#2711C2214yes—
111#2707C2214yescomplemented
112#2705C2214yescomplemented
113#2704C2214yescomplemented
114#2702C2214yescomplemented
115#2700C2214yescomplemented
116#2698C2214yescomplemented
117#2696C2214yescomplemented
118#2696C2214yescomplemented
119#2694C2214yescomplemented
120#2692C2214yescomplemented
121#2691C2214yescomplemented
122#2690C2214yescomplemented
123#2688C2214yescomplemented
124#2686C2214yescomplemented
125#2685C2214yes—
126#2684C2214yescomplemented
127#2676C2214yescomplemented
128#2674C2214yescomplemented
129#2670C2214yes—
130#2668C2214yescomplemented
131#2664C2212yescomplemented
132#2664C2214yescomplemented
133#2663C2212yescomplemented
134#2663C2214yescomplemented
135#2662C2212yescomplemented
136#2662C2214yescomplemented
137#2661C2214yescomplemented
138#2661C2212yescomplemented
139#2640C2212yescomplemented
140#2640C2212yescomplemented
141#2639C2212yescomplemented
142#2639C2212yescomplemented
143#2638C2212yescomplemented
144#2638C2212yescomplemented
145#2633C2212yescomplemented
146#2632C2212yescomplemented
147#2631C2212yescomplemented
148#2631C2212yescomplemented
149#2628C2212yescomplemented
150#2626C2212yescomplemented
151#2625C2212yescomplemented
152#2625C2212yescomplemented
153#2624C2212yes—
154#2624C2212yes—
155#2623C2212yescomplemented
156#2621C2212yescomplemented
157#2621C2212yescomplemented
158#2620C2212yes—
159#2620C2212yescomplemented
160#2619C2212yes—
161#2617C2212yescomplemented
162#2614C2212yescomplemented
163#2611C2214yescomplemented
164#2611C2212yescomplemented
165#2610C2212yescomplemented
166#2610C2214yescomplemented
167#2604C2214yescomplemented
168#2603C2214yescomplemented
169#2602C2214yescomplemented
170#2601C2214yescomplemented
171#2601C2214yescomplemented
172#2599C2212yescomplemented
173#2599C2212yescomplemented
174#2592C2212yes—
175#2592C2211yescharacteristic
176#2592C2211yescharacteristic
177#2592C2212yes—
178#2592C2211yescharacteristic
179#2592C2212yescomplemented
180#2592C2211yescharacteristic, complemented
181#2592C2211yescharacteristic, complemented
182#2592C2212yescomplemented
183#2592C2211yescharacteristic, complemented
184#2592C2211yescharacteristic, complemented
185#2592C2212yescomplemented
186#2592C2212yescomplemented
187#2592C2214yescomplemented
188#2592C2211yescharacteristic, complemented
189#2592C2211yescharacteristic, complemented
190#2584C2211yescharacteristic, complemented
191#2584C2211yescharacteristic, complemented
192#2584C2211yescharacteristic, complemented
193#2582C2212yescomplemented
194#2581C2212yescomplemented
195#2581C2212yescomplemented
196#2580C2212yes—
197#2580C2212yescomplemented
198#2568C2212yescomplemented
199#2564C2212yescomplemented
200#2563C2212yescomplemented
201#2562C2214yescomplemented
202#2562C2211yescharacteristic, complemented
203#2561C2214yescomplemented
204#2561C2212yescomplemented
205#2561C2212yescomplemented
206#2560C2214yescomplemented
207#2559C2214yescomplemented
208#2558C2214yescomplemented
209#2557C2214yescomplemented
210#2549C2214yescomplemented
211#2548C2212yes—
212#2547C2212yescomplemented
213#2543C2214yescomplemented
214#2543C2212yescomplemented
215#2540C2211yescharacteristic
216#2540C2211yescharacteristic, complemented
217#2540C2211yescharacteristic, complemented
218#2539C2214yes—
219#2538C2212yescomplemented
220#2534C2214yescomplemented
221#2521C2214yescomplemented
222#2519C2214yescomplemented
223#2498C2212yescomplemented
224#2488C2214yescomplemented
225#2482C2212yescomplemented
226#2480C2214yescomplemented
227#2477C2214yescomplemented
228#2475C2214yescomplemented
229#2472C2214yes—
230#2468C2214yescomplemented
231#2464C2214yescomplemented
232#2463C2214yescomplemented
233#2461C2214yescomplemented
234#2460C2214yescomplemented
235#2457C2214yescomplemented
236#2450C2214yescomplemented
237#2444C2214yes—
238#2437C2214yescomplemented
239#2430C2212yescomplemented
240#2425C2214yescomplemented
241#2425C2214yescomplemented
242#2424C2214yescomplemented
243#2419C2214yes—
244#2418C2214yescomplemented
245#2417C2212yescomplemented
246#2417C2212yescomplemented
247#2416C2212yes—
248#2416C2212yes—
249#2415C2214yescomplemented
250#2415C2212yescomplemented
251#2414C2212yes—
252#2412C2214yescomplemented
253#2411C2214yescomplemented
254#2410C2214yes—
255#2409C2212yescomplemented
256#2409C2212yescomplemented
257#2408C2212yes—
258#2408C2212yes—
259#2407C2212yescomplemented
260#2407C2212yescomplemented
261#2405C2214yes—
262#2404C2212yescomplemented
263#2396C2212yescomplemented
264#2392C2212yescomplemented
265C2×#397C2212yescomplemented
266C2×#393C2212yescomplemented
267#2355C2212yescomplemented
268#2352C2212yes—
269#2352C2212yescomplemented
270D4×C4⋊C4C2212yescomplemented
271#2347C2212yescomplemented
272#2343C2212yescomplemented
273#2343C2212yescomplemented
274#2339C2212yes—
275#2324C2212yes—
276#2324C2212yescomplemented
277#2323C2212yescomplemented
278#2323C2212yescomplemented
279#2322C2214yescomplemented
280#2321C2214yescomplemented
281#2311C2212yescomplemented
282#2311C2212yescomplemented
283#2310C2212yescomplemented
284#2309C2212yes—
285C4×C22⋊Q8C2212yescomplemented
286C4×#121C2214yescomplemented
287C4×#121C2212yescomplemented
288#2295C2212yescomplemented
289C2×#391C2212yescomplemented
290C2×#390C2212yes—
291#2290C2212yes—
292#2290C2212yescomplemented
293C2×#388C2214yescomplemented
294#2285C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297C42×D4C2212yescomplemented
298C4×#117C2211yescharacteristic, complemented
299C2×C4×C4⋊C4C2211yescharacteristic, complemented
300C2×C4×C4⋊C4C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×Q8C2311yescharacteristic
308C23×D4C2311yescharacteristic
309C23×D4C2312yes—
310C23×D4C2311yescharacteristic
311#559—28no—
312#556—28no—
313#555—216no—
314#551—216no—
315#551—216no—
316D4×Q8—28no—
317#548—28no—
318#548—28no—
319#546—216no—
320#546—28no—
321#546—28no—
322D42—28no—
323#544—28no—
324#542—216no—
325#542—216no—
326#542—28no—
327#542—28no—
328#541—216no—
329#541—28no—
330#541—28no—
331#539—216no—
332#539—216no—
333#538—216no—
334#538—216no—
335#537—28no—
336#536—28no—
337#536—28no—
338#533—216no—
339#533—28no—
340#533—28no—
341#532—28no—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×#127C2311yescharacteristic
351#529—216no—
352#529—216no—
353#529—216no—
354#529—28no—
355#529—28no—
356#529—28no—
357#529—28no—
358#529—28no—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2312yes—
368C2×#126C2312yes—
369C2×#126C2312yes—
370C2×#126C2312yes—
371C2×#126C2312yes—
372C2×#125C2312yes—
373C2×#125C2311yescharacteristic
374C2×#125C2311yescharacteristic
375C2×#125C2312yes—
376C2×#125C2311yescharacteristic
377C2×#125C2312yes—
378C2×#125C2312yes—
379C2×#125C2312yes—
380C2×#125C2312yes—
381C2×#125C2312yes—
382C2×#124—28no—
383C2×#124—28no—
384C2×#124C2311yescharacteristic
385C2×#124C2312yes—
386C2×#124C2311yescharacteristic
387C2×#124C2311yescharacteristic
388C2×#124C2311yescharacteristic
389C2×#124C2311yescharacteristic
390C2×#124C2311yescharacteristic
391C2×#124C2311yescharacteristic
392C2×#124C2312yes—
393C2×#124C2311yescharacteristic
394C2×#124C2312yes—
395C2×#124C2312yes—
396C2×#124C2311yescharacteristic
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2314yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2314yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2314yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2311yescharacteristic
450C2×#121C2311yescharacteristic
451C2×#121C2311yescharacteristic
452C2×#121C2311yescharacteristic
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2311yescharacteristic
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2314yes—
466C2×#121C2314yes—
467C2×#120C2312yes—
468C2×#120C2312yes—
469C2×#120C2312yes—
470C2×#120C2312yes—
471C2×#120C2314yes—
472C2×#120C2314yes—
473#518—216no—
474C4×#41—28no—
475C4×#41D4116yescomplemented
476C2×C4×Q8—28no—
477C2×C4×Q8C2312yes—
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2312yes—
481C2×C4×Q8C2311yescharacteristic
482C2×C4×Q8C2312yes—
483C2×C4×Q8C2311yescharacteristic
484C2×C4×Q8C2311yescharacteristic
485C2×C4×Q8C2311yescharacteristic
486C2×C4×Q8C2311yescharacteristic
487C2×C4×Q8C2311yescharacteristic
488C2×C4×Q8C2312yes—
489C2×C4×Q8C2311yescharacteristic
490C2×C4×Q8C2311yescharacteristic
491C2×C4×Q8C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2312yes—
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2314yes—
511C2×C4×D4C2314yes—
512C2×C4×D4C2311yescharacteristic
513C2×C4×D4C2311yescharacteristic
514C2×C4×D4C2311yescharacteristic
515C2×C4×D4C2311yescharacteristic
516C2×C4×D4C2311yescharacteristic
517C2×C4×D4C2311yescharacteristic
518C2×#117C2312yes—
519C2×#117C2312yes—
520C2×#117C2312yes—
521C2×#117C2312yes—
522C2×#117C2312yes—
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2311yescharacteristic
527C2×#117C2312yes—
528C2×#117C2312yes—
529C2×#117C2312yes—
530C2×#117C2311yescharacteristic
531C2×#117C2311yescharacteristic
532C2×#117C2311yescharacteristic
533C22×C4⋊C4C2312yes—
534C22×C4⋊C4C2311yescharacteristic
535C22×C4⋊C4C2312yes—
536C22×C4⋊C4C2312yes—
537C22×C22⋊C4C2312yes—
538C22×C22⋊C4C2312yes—
539C22×C22⋊C4C2312yes—
540C22×C22⋊C4C2312yes—
541C22×C22⋊C4C2312yes—
542C22×C22⋊C4C2312yes—
543C22×C22⋊C4C2314yes—
544C22×C22⋊C4C2314yes—
545C22×C42C2312yes—
546C22×C42C2312yes—
547C22×C42C2312yes—
548C22×C42C2312yes—
549C22×C42C2311yescharacteristic
550C22×C42C2311yescharacteristic
551C22×C42C2311yescharacteristic
552#400C2312yes—
553#400C2314yes—
554#400C2314yes—
555#400C2314yes—
556#400C2314yes—
557#400C2314yes—
558#400C2314yes—
559#399C2312yes—
560#399C2312yes—
561#399C2312yes—
562#399C2314yes—
563#399C2314yes—
564#399C2314yes—
565#399C2314yes—
566#398C2314yes—
567#398C2314yes—
568#398C2312yes—
569#398C2312yes—
570#398C2314yes—
571#398C2314yes—
572#398C2312yes—
573#398C2314yes—
574#398C2314yes—
575#398C2314yes—
576#398C2314yes—
577#397C2314yes—
578#397C2312yes—
579#397C2312yes—
580#397C2314yes—
581#397C2312yes—
582#397C2312yes—
583#397C2314yes—
584#397C2312yes—
585#397C2312yes—
586#397C2314yes—
587#397C2314yes—
588#397C2312yes—
589#397C2312yes—
590#397C2314yes—
591#397C2312yes—
592#397C2314yes—
593#397C2314yes—
594#397C2314yes—
595#397C2314yes—
596#397C2314yes—
597#397C2314yes—
598#397C2314yes—
599#396C2314yes—
600#396C2314yes—
601#396C2314yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#396C2314yes—
609#395C2312yes—
610#395C2314yes—
611#395C2314yes—
612#395C2312yes—
613#395C2312yes—
614#395C2314yes—
615#395C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2312yes—
621#394C2314yes—
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#393C2314yes—
638#393C2312yes—
639#393C2312yes—
640#393C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2314yes—
644#393C2314yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2314yes—
650#393C2314yes—
651#393C2314yes—
652#393C2314yes—
653#393C2314yes—
654#392C2312yes—
655#392C2312yes—
656#392C2314yes—
657#392C2314yes—
658#392C2314yes—
659#392C2312yes—
660#392C2314yes—
661#392C2314yes—
662#392C2314yes—
663#392C2314yes—
664#391C2314yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2314yes—
670#391C2314yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2314yes—
677#391C2314yes—
678#391C2314yes—
679#391C2314yes—
680#390C2314yes—
681#390C2314yes—
682#390C2312yes—
683#390C2312yes—
684#390C2312yes—
685#390C2312yes—
686#390C2314yes—
687#390C2314yes—
688#390C2312yes—
689#390C2312yes—
690#390C2312yes—
691#390C2314yes—
692#390C2314yes—
693#390C2314yes—
694#390C2312yes—
695#390C2312yes—
696#390C2314yes—
697#390C2314yes—
698#390C2314yes—
699#390C2314yes—
700#389C2314yes—
701#389C2314yes—
702#389C2312yes—
703#389C2312yes—
704#389C2314yes—
705#389C2314yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2314yes—
711#389C2314yes—
712#389C2314yes—
713#389C2314yes—
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#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#388C2314yes—
748#388C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2314yes—
757#387C2314yes—
758#387C2314yes—
759#387C2314yes—
760#387C2314yes—
761#387C2314yes—
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#386C2314yes—
779#386C2314yes—
780#386C2314yes—
781#386C2314yes—
782#386C2314yes—
783#386C2314yes—
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#383C2312yes—
800#383C2312yes—
801#382C2314yes—
802#382C2312yes—
803#382C2312yes—
804#382C2312yes—
805#381C2312yes—
806#381C2314yes—
807#381C2314yes—
808#381C2314yes—
809#381C2312yes—
810#380C2314yes—
811#380C2314yes—
812#380C2314yes—
813#380C2314yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2314yes—
822#380C2314yes—
823#379C2314yes—
824#379C2314yes—
825#379C2314yes—
826#379C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2312yes—
849#376C2312yes—
850#376C2312yes—
851#376C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2314yes—
855C2×#95C2314yes—
856C43C2312yes—
857C25C2412yes—
858C25C2412yes—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41C2×D418yes—
867C22×Q8—24no—
868C22×Q8—24no—
869C22×Q8—24no—
870C22×Q8—44no—
871C22×Q8—44no—
872C22×Q8—44no—
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2411yescharacteristic
878C22×Q8C2411yescharacteristic
879C22×Q8C2411yescharacteristic
880C22×Q8C2412yes—
881C22×Q8C2412yes—
882C22×Q8C2412yes—
883C22×Q8C2412yes—
884C22×Q8C2411yescharacteristic
885C22×D4—28no—
886C22×D4—24no—
887C22×D4—24no—
888C22×D4—44no—
889C22×D4—44no—
890C22×D4—48no—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2411yescharacteristic
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2411yescharacteristic
898C22×D4C2412yes—
899C22×D4C2411yescharacteristic
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2414yes—
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C4⋊Q8—28no—
937C4⋊Q8—28no—
938C4⋊Q8—28no—
939C4⋊Q8—24no—
940C4⋊Q8—24no—
941C4⋊Q8—24no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944#127—24no—
945#126—28no—
946#126—28no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—28no—
952#126—28no—
953#126—28no—
954#126—28no—
955#126—28no—
956#126—28no—
957#126—28no—
958#125—28no—
959#125—28no—
960#125—28no—
961#125—28no—
962#125—28no—
963#125—24no—
964#125—24no—
965#125—24no—
966#125—28no—
967#125—28no—
968#124—28no—
969#124—28no—
970#124—28no—
971#124—28no—
972#124—28no—
973#124—28no—
974#124—24no—
975#124—24no—
976#124—24no—
977#124—28no—
978#124—28no—
979#124—24no—
980#124—24no—
981#124—24no—
982#124—24no—
983#124—28no—
984#124—28no—
985#124—24no—
986#124—24no—
987#124—84no—
988#123—28no—
989#123—28no—
990#123—28no—
991#123—28no—
992#123—28no—
993#123—28no—
994#123—28no—
995#123—28no—
996#123—28no—
997#123—28no—
998#123—28no—
999#123—28no—
1000#123—28no—
1001#123—28no—
1002#123—28no—
1003#123—48no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—24no—
1007C22⋊Q8—24no—
1008C22⋊Q8—24no—
1009C22⋊Q8—24no—
1010C22⋊Q8—24no—
1011C22⋊Q8—24no—
1012C22⋊Q8—24no—
1013C22⋊Q8—24no—
1014C22⋊Q8—24no—
1015C22⋊Q8—28no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—28no—
1020C22⋊Q8—28no—
1021C22⋊Q8—28no—
1022C22⋊Q8—28no—
1023C22⋊Q8—28no—
1024C22⋊Q8—28no—
1025C22⋊Q8—28no—
1026C22⋊Q8—28no—
1027C22⋊Q8—44no—
1028C22⋊Q8—44no—
1029C22⋊Q8—44no—
1030C22⋊Q8—84no—
1031#121—28no—
1032#121—28no—
1033#121—28no—
1034#121—28no—
1035#121—28no—
1036#121—24no—
1037#121—24no—
1038#121—24no—
1039#121—24no—
1040#121—24no—
1041#121—28no—
1042#121—28no—
1043#121—28no—
1044#121—28no—
1045#121—28no—
1046#121—44no—
1047#121—44no—
1048#121—44no—
1049#121—48no—
1050#121—84no—
1051#120—28no—
1052#120—28no—
1053#120—28no—
1054#120—28no—
1055#120—48no—
1056#120—84no—
1057C4×Q8—28no—
1058C4×Q8—24no—
1059C4×Q8—24no—
1060C4×Q8—24no—
1061C4×Q8—24no—
1062C4×Q8—28no—
1063C4×Q8—24no—
1064C4×Q8—24no—
1065C4×Q8—28no—
1066C4×Q8—28no—
1067C4×Q8—24no—
1068C4×Q8—24no—
1069C4×Q8—24no—
1070C4×Q8C2×D418yes—
1071C4×Q8C2×D418yes—
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—28no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—24no—
1084C4×D4—24no—
1085C4×D4—28no—
1086C4×D4—24no—
1087C4×D4—24no—
1088C4×D4—24no—
1089C4×D4—28no—
1090C4×D4—48no—
1091C4×D4—84no—
1092C4×D4C2×D418yes—
1093C4×D4C2×D418yes—
1094C4×D4C2×D418yes—
1095C4×D4C2×D418yes—
1096C4×D4C2×D418yes—
1097C4×D4C2×D418yes—
1098#117—24no—
1099#117—28no—
1100#117—28no—
1101#117—28no—
1102#117—28no—
1103#117—28no—
1104#117—28no—
1105#117—28no—
1106#117—28no—
1107#117—28no—
1108#117—44no—
1109#117—82no—
1110#117C2×D418yes—
1111#117C2×D418yes—
1112#117C2×D418yes—
1113C2×C4⋊C4—24no—
1114C2×C4⋊C4—28no—
1115C2×C4⋊C4—44no—
1116C2×C4⋊C4—44no—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2411yescharacteristic
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C4⋊C4C2411yescharacteristic
1177C2×C4⋊C4C2411yescharacteristic
1178C2×C4⋊C4C2411yescharacteristic
1179C2×C22⋊C4—28no—
1180C2×C22⋊C4—28no—
1181C2×C22⋊C4—28no—
1182C2×C22⋊C4—28no—
1183C2×C22⋊C4—28no—
1184C2×C22⋊C4—28no—
1185C2×C22⋊C4—48no—
1186C2×C22⋊C4—84no—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1256C2×C22⋊C4C2411yescharacteristic
1257C2×C22⋊C4C2411yescharacteristic
1258C2×C22⋊C4C2411yescharacteristic
1259C2×C22⋊C4C2411yescharacteristic
1260C2×C22⋊C4C2411yescharacteristic
1261C2×C42—28no—
1262C2×C42—28no—
1263C2×C42—82no—
1264C2×C42—82no—
1265C2×C42C2×D418yes—
1266C2×C42C2×D418yes—
1267C2×C42C2×D418yes—
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2412yes—
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2414yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2414yes—
1282C2×C42C2414yes—
1283C2×C42C2414yes—
1284C2×C42C2412yes—
1285C2×C42C2412yes—
1286C2×C42C2411yescharacteristic
1287C2×C42C2411yescharacteristic
1288C2×C42C2411yescharacteristic
1289C2×C42C2411yescharacteristic
1290C2×C42C2411yescharacteristic
1291C2×C42C2411yescharacteristic
1292C2×C42C2411yescharacteristic
1293C2×C42C2411yescharacteristic
1294C2×C42C2411yescharacteristic
1295C2×C42C2411yescharacteristic
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2412yes—
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—
1336C24—24no—
1337C24—24no—
1338C24—28no—
1339C24—44no—
1340C24—42no—
1341C24—44no—
1342C24—42no—
1343C24—42no—
1344C24—44no—
1345C24—42no—
1346C24C2512yes—
1347C24C2512yes—
1348C24C2512yes—
1349C24C2512yes—
1350C24C2511yescharacteristic
1351C24C2511yescharacteristic
1352C24C2511yescharacteristic
1353#41—416no—
1354#41—416no—
1355#41—88no—
1356#41—88no—
1357C2×Q8—24no—
1358C2×Q8—22no—
1359C2×Q8—22no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—22no—
1363C2×Q8—22no—
1364C2×Q8—24no—
1365C2×Q8—24no—
1366C2×Q8—24no—
1367C2×Q8—24no—
1368C2×Q8—24no—
1369C2×Q8—24no—
1370C2×Q8—24no—
1371C2×Q8—42no—
1372C2×Q8—42no—
1373C2×Q8—42no—
1374C2×Q8—42no—
1375C2×Q8—42no—
1376C2×Q8—42no—
1377C2×Q8—42no—
1378C2×Q8—42no—
1379C2×Q8—44no—
1380C2×Q8—44no—
1381C2×Q8—42no—
1382C2×Q8—42no—
1383C2×Q8—416no—
1384C2×Q8—88no—
1385C2×Q8—88no—
1386C2×Q8C22×D414yes—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—28no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—22no—
1401C2×D4—24no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—44no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—432no—
1437C2×D4—88no—
1438C2×D4—88no—
1439C2×D4C22×D414yes—
1440C2×D4C22×D414yes—
1441C2×D4C22×D414yes—
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—28no—
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—24no—
1462C22×C4—24no—
1463C22×C4—41no—
1464C22×C4—41no—
1465C22×C4—41no—
1466C22×C4—41no—
1467C22×C4—41no—
1468C22×C4—41no—
1469C22×C4—44no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—42no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4C22×D414yes—
1492C22×C4C22×D414yes—
1493C22×C4C22×D414yes—
1494C22×C4C22×D414yes—
1495C22×C4C22×D414yes—
1496C22×C4C22×D414yes—
1497C22×C4C22×D414yes—
1498C22×C4C22×D414yes—
1499C22×C4C22×D414yes—
1500C22×C4C2514yes—
1501C22×C4C2514yes—
1502C22×C4C2514yes—
1503C22×C4C2514yes—
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2512yes—
1516C22×C4C2511yescharacteristic
1517C22×C4C2511yescharacteristic
1518C22×C4C2511yescharacteristic
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2511yescharacteristic
1527C22×C4C2511yescharacteristic
1528C4⋊C4—24no—
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—22no—
1540C4⋊C4—24no—
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—22no—
1554C4⋊C4—22no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
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—44no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—44no—
1576C4⋊C4—44no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4C22×D414yes—
1585C4⋊C4C22×D414yes—
1586C4⋊C4C22×D414yes—
1587C4⋊C4C22×D414yes—
1588C4⋊C4C22×D414yes—
1589C4⋊C4C22×D414yes—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—28no—
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—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
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⋊C4C22×D414yes—
1659C22⋊C4C22×D414yes—
1660C22⋊C4C22×D414yes—
1661C22⋊C4C22×D414yes—
1662C22⋊C4C22×D414yes—
1663C22⋊C4C22×D414yes—
1664C42—24no—
1665C42—24no—
1666C42—24no—
1667C42—24no—
1668C42—24no—
1669C42—24no—
1670C42—24no—
1671C42—24no—
1672C42—24no—
1673C42—24no—
1674C42—42no—
1675C42—42no—
1676C42—42no—
1677C42—44no—
1678C42—44no—
1679C42—42no—
1680C42—44no—
1681C42—44no—
1682C42C22×D414yes—
1683C42C22×D414yes—
1684C42C22×D414yes—
1685C42C22×D414yes—
1686C42C22×D414yes—
1687C42C22×D414yes—
1688C42C22×D414yes—
1689C42C22×D414yes—
1690C42C22×D414yes—
1691C42C22×D414yes—
1692C23—22no—
1693C23—21no—
1694C23—21no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—24no—
1709C23—24no—
1710C23—24no—
1711C23—22no—
1712C23—22no—
1713C23—24no—
1714C23—24no—
1715C23—24no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—48no—
1726C23—48no—
1727C23—84no—
1728C23—84no—
1729C23—84no—
1730C23—88no—
1731C23—88no—
1732C23—84no—
1733C23—164no—
1734C23—164no—
1735C23C23×D412yes—
1736C23C23×D412yes—
1737C23C23×D412yes—
1738C23#58514yes—
1739C23C2611yescharacteristic
1740Q8—44no—
1741Q8—44no—
1742Q8—44no—
1743Q8—48no—
1744Q8—44no—
1745Q8—44no—
1746Q8—44no—
1747Q8—44no—
1748Q8—84no—
1749Q8—84no—
1750Q8—84no—
1751Q8—84no—
1752D4—28no—
1753D4—28no—
1754D4—44no—
1755D4—48no—
1756D4—44no—
1757D4—48no—
1758D4—48no—
1759D4—48no—
1760D4—44no—
1761D4—44no—
1762D4—44no—
1763D4—84no—
1764D4—84no—
1765D4—84no—
1766D4—84no—
1767D4—84no—
1768D4—84no—
1769D4—84no—
1770D4—84no—
1771D4—88no—
1772D4—164no—
1773D4—164no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—28no—
1790C2×C4—28no—
1791C2×C4—28no—
1792C2×C4—28no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—24no—
1806C2×C4—24no—
1807C2×C4—24no—
1808C2×C4—24no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—24no—
1815C2×C4—24no—
1816C2×C4—24no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—24no—
1822C2×C4—24no—
1823C2×C4—24no—
1824C2×C4—24no—
1825C2×C4—24no—
1826C2×C4—24no—
1827C2×C4—24no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—24no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—44no—
1842C2×C4—48no—
1843C2×C4—48no—
1844C2×C4—48no—
1845C2×C4—48no—
1846C2×C4—84no—
1847C2×C4—84no—
1848C2×C4—84no—
1849C2×C4—84no—
1850C2×C4—84no—
1851C2×C4—84no—
1852C2×C4—88no—
1853C2×C4—84no—
1854C2×C4—84no—
1855C2×C4—88no—
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×C4C23×D412yes—
1866C2×C4C23×D412yes—
1867C2×C4C23×D412yes—
1868C2×C4#58514yes—
1869C22—22no—
1870C22—22no—
1871C22—24no—
1872C22—24no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—22no—
1878C22—22no—
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—42no—
1896C22—44no—
1897C22—42no—
1898C22—44no—
1899C22—44no—
1900C22—42no—
1901C22—44no—
1902C22—42no—
1903C22—44no—
1904C22—44no—
1905C22—168no—
1906C22—168no—
1907C22#344914yes—
1908C22C24×D411yescharacteristic
1909C22C2×#58512yes—
1910C22C2×#58512yes—
1911C22H(7,𝔽2)11yescharacteristic
1912C222−1+611yescharacteristic
1913C4—22no—
1914C4—22no—
1915C4—22no—
1916C4—22no—
1917C4—22no—
1918C4—22no—
1919C4—22no—
1920C4—22no—
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—42no—
1925C4—42no—
1926C4—42no—
1927C4—42no—
1928C4—42no—
1929C4—42no—
1930C4—42no—
1931C4—42no—
1932C4—42no—
1933C4—42no—
1934C4—42no—
1935C4—42no—
1936C4—44no—
1937C4—44no—
1938C4—44no—
1939C4—44no—
1940C4#350014yes—
1941C2—24no—
1942C2—42no—
1943C2—42no—
1944C2—82no—
1945C2—82no—
1946C2—82no—
1947C2—82no—
1948C2C2×#344911yescharacteristic
1949C2C2×#350011yescharacteristic
1950C2#6285311yescharacteristic
1951C2#6296412yes—
1952C2#6296512yes—
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×#3514C2semidirect
2. C2×#3461C2semidirect
3. #42307C2semidirect
4. #42304C2semidirect
5. #42296C2semidirect
6. #42294C2semidirect
7. #41949C2semidirect
8. #41946C2semidirect
9. #41938C2semidirect
10. #41936C2semidirect
11. #39719C2semidirect
12. #39718C2semidirect
13. #38903C2semidirect
14. #38902C2semidirect
15. #38027C2semidirect
16. #38026C2semidirect
17. #38025C2semidirect
18. #38024C2semidirect
19. #37622C2semidirect
20. #37559C2semidirect
21. #37551C2semidirect
22. #37546C2semidirect
23. #37193C2semidirect
24. #36745C2semidirect
25. #35362C2semidirect
26. #35338C2semidirect
27. #35234C2semidirect
28. #35212C2semidirect
29. #35180C2semidirect
30. #35129C2semidirect
31. #35111C2semidirect
32. #35009C2semidirect
33. #34964C2semidirect
34. C2×#2592C2semidirect
35. #34127C2semidirect
50. C2×#544C22semidirect
52. C2×#542C22semidirect
53. C2×#542C22semidirect
54. C2×#542C22semidirect
55. C2×#541C22semidirect
56. C2×#541C22semidirect
57. C2×#541C22semidirect
59. C2×#539C22semidirect
64. C2×#536C22semidirect
65. C2×#533C22semidirect
66. C2×#533C22semidirect
67. C2×#533C22semidirect
73. C2×#529C22semidirect
74. C2×#529C22semidirect
75. C2×#529C22semidirect
76. C2×#529C22semidirect
81. C2×C4×#41C22semidirect
82. C22×C4×Q8C22semidirect
83. #2861C22semidirect
84. #2860C22semidirect
85. #2855C22semidirect
87. #2854C22semidirect
89. #2850C22semidirect
90. #2850C22semidirect
91. #2821C22semidirect
92. #2821C22semidirect
93. #2820C22semidirect
94. #2819C22semidirect
95. #2816C22semidirect
96. #2815C22semidirect
97. #2814C22semidirect
98. #2814C22semidirect
99. #2731C22semidirect
100. #2730C22semidirect
101. #2729C22semidirect
102. #2728C22semidirect
103. #2723C22semidirect
104. #2716C22semidirect
105. #2716C22semidirect
106. #2715C22semidirect
108. #2713C22semidirect
109. #2712C22semidirect
111. #2707C22semidirect
112. #2705C22semidirect
113. #2704C22semidirect
114. #2702C22semidirect
115. #2700C22semidirect
116. #2698C22semidirect
117. #2696C22semidirect
118. #2696C22semidirect
119. #2694C22semidirect
120. #2692C22semidirect
121. #2691C22semidirect
122. #2690C22semidirect
123. #2688C22semidirect
124. #2686C22semidirect
126. #2684C22semidirect
127. #2676C22semidirect
128. #2674C22semidirect
130. #2668C22semidirect
131. #2664C22semidirect
132. #2664C22semidirect
133. #2663C22semidirect
134. #2663C22semidirect
135. #2662C22semidirect
136. #2662C22semidirect
137. #2661C22semidirect
138. #2661C22semidirect
139. #2640C22semidirect
140. #2640C22semidirect
141. #2639C22semidirect
142. #2639C22semidirect
143. #2638C22semidirect
144. #2638C22semidirect
145. #2633C22semidirect
146. #2632C22semidirect
147. #2631C22semidirect
148. #2631C22semidirect
149. #2628C22semidirect
150. #2626C22semidirect
151. #2625C22semidirect
152. #2625C22semidirect
155. #2623C22semidirect
156. #2621C22semidirect
157. #2621C22semidirect
159. #2620C22semidirect
161. #2617C22semidirect
162. #2614C22semidirect
163. #2611C22semidirect
164. #2611C22semidirect
165. #2610C22semidirect
166. #2610C22semidirect
167. #2604C22semidirect
168. #2603C22semidirect
169. #2602C22semidirect
170. #2601C22semidirect
171. #2601C22semidirect
172. #2599C22semidirect
173. #2599C22semidirect
179. #2592C22semidirect
180. #2592C22semidirect
181. #2592C22semidirect
182. #2592C22semidirect
183. #2592C22semidirect
184. #2592C22semidirect
185. #2592C22semidirect
186. #2592C22semidirect
187. #2592C22semidirect
188. #2592C22semidirect
189. #2592C22semidirect
190. #2584C22semidirect
191. #2584C22semidirect
192. #2584C22semidirect
193. #2582C22semidirect
194. #2581C22semidirect
195. #2581C22semidirect
197. #2580C22semidirect
198. #2568C22semidirect
199. #2564C22semidirect
200. #2563C22semidirect
201. #2562C22semidirect
202. #2562C22semidirect
203. #2561C22semidirect
204. #2561C22semidirect
205. #2561C22semidirect
206. #2560C22semidirect
207. #2559C22semidirect
208. #2558C22semidirect
209. #2557C22semidirect
210. #2549C22semidirect
212. #2547C22semidirect
213. #2543C22semidirect
214. #2543C22semidirect
216. #2540C22semidirect
217. #2540C22semidirect
219. #2538C22semidirect
220. #2534C22semidirect
221. #2521C22semidirect
222. #2519C22semidirect
223. #2498C22semidirect
224. #2488C22semidirect
225. #2482C22semidirect
226. #2480C22semidirect
227. #2477C22semidirect
228. #2475C22semidirect
230. #2468C22semidirect
231. #2464C22semidirect
232. #2463C22semidirect
233. #2461C22semidirect
234. #2460C22semidirect
235. #2457C22semidirect
236. #2450C22semidirect
238. #2437C22semidirect
239. #2430C22semidirect
240. #2425C22semidirect
241. #2425C22semidirect
242. #2424C22semidirect
244. #2418C22semidirect
245. #2417C22semidirect
246. #2417C22semidirect
249. #2415C22semidirect
250. #2415C22semidirect
252. #2412C22semidirect
253. #2411C22semidirect
255. #2409C22semidirect
256. #2409C22semidirect
259. #2407C22semidirect
260. #2407C22semidirect
262. #2404C22semidirect
263. #2396C22semidirect
264. #2392C22semidirect
265. C2×#397C22semidirect
266. C2×#393C22semidirect
267. #2355C22semidirect
269. #2352C22semidirect
270. D4×C4⋊C4C22semidirect
271. #2347C22semidirect
272. #2343C22semidirect
273. #2343C22semidirect
276. #2324C22semidirect
277. #2323C22semidirect
278. #2323C22semidirect
279. #2322C22semidirect
280. #2321C22semidirect
281. #2311C22semidirect
282. #2311C22semidirect
283. #2310C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. #2295C22semidirect
289. C2×#391C22semidirect
292. #2290C22semidirect
293. C2×#388C22semidirect
294. #2285C22semidirect
295. #2283C22semidirect
296. #2283C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect
299. C2×C4×C4⋊C4C22semidirect
300. C2×C4×C4⋊C4C22semidirect
475. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34612
#423072
#423042
#422962
#422942
#419492
#419462
#419382
#419362
#397192
#397182
#389032
#389022
#380272
#380262
#380252
#380242
#376222
#375592
#375512
#375462
#371932
#367452
#353622
#353382
#352342
#352122
#351802
#351292
#351112
#350092
#349642
C2×#25922
#341272