Finite Group Databasebeta

← #7655447

Subgroups — #7655447

Order 512.

6951 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3480C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42680C211yesmaximal, characteristic, complemented
4#42676C211yesmaximal, characteristic, complemented
5#42483C211yesmaximal, characteristic, complemented
6#42479C211yesmaximal, characteristic, complemented
7#42172C212yesmaximal, complemented
8#42169C212yesmaximal, complemented
9#41990C212yesmaximal, complemented
10#41985C212yesmaximal, complemented
11#39889C212yesmaximal, complemented
12#39888C212yesmaximal, complemented
13#39882C212yesmaximal, complemented
14#39879C212yesmaximal, complemented
15#39871C214yesmaximal, complemented
16#39868C214yesmaximal, complemented
17#38387C214yesmaximal, complemented
18#38386C214yesmaximal, complemented
19#37552C212yesmaximal, complemented
20#37544C211yesmaximal, characteristic, complemented
21#36441C212yesmaximal, complemented
22#36437C212yesmaximal, complemented
23#36231C212yesmaximal, complemented
24#36230C212yesmaximal, complemented
25#35956C211yesmaximal, characteristic, complemented
26#35949C211yesmaximal, characteristic, complemented
27#35938C211yesmaximal, characteristic, complemented
28#35853C211yesmaximal, characteristic, complemented
29#35342C212yesmaximal, complemented
30#35190C211yesmaximal, characteristic, complemented
31#35118C212yesmaximal, complemented
32#35111C211yesmaximal, characteristic, complemented
33#34971C211yesmaximal, characteristic, complemented
34#34875C212yesmaximal, complemented
35#34197C211yesmaximal, characteristic, complemented
36#3480—216no—
37C2×#559C2212yes—
38C2×#559C2211yescharacteristic, complemented
39C2×#557C2211yescharacteristic, complemented
40#3475—216no—
41C2×#556C2211yescharacteristic
42C2×#556C2211yescharacteristic
43C2×#556C2212yescomplemented
44C2×#555C2211yescharacteristic
45C2×#554C2211yescharacteristic
46C2×#553C2212yes—
47C2×#553C2212yescomplemented
48C2×#553C2214yescomplemented
49C2×#552C2211yescharacteristic
50C2×#552C2211yescharacteristic
51C2×#552C2212yes—
52C2×#551C2212yes—
53C2×#551C2212yes—
54C2×#550C2211yescharacteristic
55C2×#548C2212yescomplemented
56C2×#547C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×#546C2211yescharacteristic
59C2×#533C2211yescharacteristic
60C2×#532C2212yes—
61C2×#532C2211yescharacteristic, complemented
62C2×#529C2212yes—
63C2×#529C2211yescharacteristic
64C2×#529C2212yes—
65C2×#529C2211yescharacteristic
66C2×#529C2212yescomplemented
67C2×#529C2214yescomplemented
68C2×#525C2212yes—
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2212yescomplemented
73C2×C4×#41C2212yescomplemented
74C22×C4×Q8C2211yescharacteristic, complemented
75C22×C4×D4C2211yescharacteristic
76C22×#117C2212yes—
77#2855C2212yescomplemented
78#2854C2212yes—
79#2853C2214yescomplemented
80#2851C2214yescomplemented
81#2850C2212yes—
82#2850C2214yescomplemented
83#2850C2212yescomplemented
84#2849C2214yes—
85#2817C2212yescomplemented
86#2816C2212yes—
87#2816C2212yescomplemented
88#2815C2212yes—
89#2813C2212yescomplemented
90#2813C2212yescomplemented
91#2727C2214yescomplemented
92#2725C2214yescomplemented
93#2718C2214yes—
94#2705C2214yescomplemented
95#2704C2214yescomplemented
96#2703C2214yes—
97#2702C2214yes—
98#2702C2214yescomplemented
99#2701C2214yescomplemented
100#2701C2214yescomplemented
101#2699C2214yes—
102#2699C2214yescomplemented
103#2698C2214yescomplemented
104#2689C2214yescomplemented
105#2685C2214yes—
106#2683C2214yes—
107#2682C2214yes—
108#2682C2214yescomplemented
109#2681C2214yescomplemented
110#2681C2214yescomplemented
111#2678C2214yes—
112#2678C2214yes—
113#2672C2214yescomplemented
114#2669C2214yes—
115#2664C2212yescomplemented
116#2664C2212yescomplemented
117#2662C2212yescomplemented
118#2662C2212yescomplemented
119#2658C2211yescharacteristic
120#2657C2211yescharacteristic
121#2642C2211yescharacteristic, complemented
122#2641C2211yescharacteristic, complemented
123#2637C2214yescomplemented
124#2636C2214yescomplemented
125#2636C2214yescomplemented
126#2635C2212yes—
127#2635C2212yescomplemented
128#2635C2214yescomplemented
129#2630C2214yes—
130#2630C2214yescomplemented
131#2627C2212yescomplemented
132#2626C2212yes—
133#2625C2212yescomplemented
134#2624C2212yes—
135#2623C2212yescomplemented
136#2618C2212yescomplemented
137#2617C2212yes—
138#2616C2212yescomplemented
139#2615C2212yes—
140#2614C2212yescomplemented
141#2611C2212yes—
142#2611C2212yescomplemented
143#2611C2214yescomplemented
144#2610C2212yes—
145#2610C2212yescomplemented
146#2610C2214yescomplemented
147#2609C2214yes—
148#2609C2214yes—
149#2609C2214yescomplemented
150#2609C2214yescomplemented
151#2604C2212yescomplemented
152#2604C2212yescomplemented
153#2604C2214yescomplemented
154#2603C2212yescomplemented
155#2603C2212yescomplemented
156#2602C2214yes—
157#2602C2214yes—
158#2602C2214yescomplemented
159#2602C2214yescomplemented
160#2601C2214yes—
161#2601C2214yescomplemented
162#2600C2214yes—
163#2600C2214yescomplemented
164#2599C2211yescharacteristic
165#2599C2211yescharacteristic
166#2599C2211yescharacteristic, complemented
167#2599C2212yescomplemented
168#2599C2212yescomplemented
169#2599C2211yescharacteristic, complemented
170#2598C2212yes—
171#2598C2212yescomplemented
172#2598C2212yescomplemented
173#2598C2212yescomplemented
174#2592C2211yescharacteristic
175#2592C2211yescharacteristic
176#2584C2211yescharacteristic, complemented
177#2584C2211yescharacteristic, complemented
178#2581C2212yescomplemented
179#2581C2212yescomplemented
180#2580C2212yes—
181#2579C2214yescomplemented
182#2568C2211yescharacteristic, complemented
183#2558C2214yes—
184#2558C2214yescomplemented
185#2556C2214yescomplemented
186#2554C2214yescomplemented
187#2548C2212yes—
188#2548C2211yescharacteristic, complemented
189#2546C2212yescomplemented
190#2545C2212yes—
191#2545C2212yescomplemented
192#2545C2212yescomplemented
193#2544C2212yes—
194#2542C2211yescharacteristic
195#2541C2211yescharacteristic
196#2536C2212yes—
197#2534C2214yes—
198#2519C2214yescomplemented
199#2506C2214yescomplemented
200#2500C2212yescomplemented
201#2486C2211yescharacteristic
202#2486C2211yescharacteristic, complemented
203#2484C2212yescomplemented
204#2484C2212yescomplemented
205#2482C2212yes—
206#2474C2214yescomplemented
207#2472C2214yes—
208#2470C2214yescomplemented
209#2468C2214yescomplemented
210#2466C2214yescomplemented
211#2464C2214yescomplemented
212#2461C2214yescomplemented
213#2461C2214yescomplemented
214#2461C2214yescomplemented
215#2459C2214yes—
216#2459C2214yescomplemented
217#2457C2214yes—
218#2457C2214yescomplemented
219#2456C2214yescomplemented
220#2455C2214yes—
221#2455C2214yes—
222#2454C2212yescomplemented
223#2453C2212yescomplemented
224#2452C2212yescomplemented
225#2451C2212yescomplemented
226#2447C2212yes—
227#2447C2212yes—
228#2445C2214yes—
229#2445C2212yes—
230#2445C2212yes—
231#2435C2212yes—
232#2433C2212yes—
233#2432C2212yes—
234#2432C2212yescomplemented
235#2431C2212yes—
236#2431C2212yes—
237#2431C2212yes—
238#2429C2212yes—
239#2429C2212yes—
240#2429C2212yescomplemented
241#2428C2212yes—
242#2427C2212yes—
243#2426C2212yes—
244#2426C2212yes—
245#2426C2212yescomplemented
246#2418C2214yes—
247#2409C2211yescharacteristic
248#2409C2211yescharacteristic, complemented
249#2407C2212yes—
250#2407C2212yescomplemented
251#2406C2212yes—
252#2406C2212yescomplemented
253#2404C2212yes—
254#2399C2211yescharacteristic, complemented
255#2399C2211yescharacteristic, complemented
256#2398C2211yescharacteristic
257#2398C2211yescharacteristic
258#2396C2212yes—
259#2396C2212yescomplemented
260#2392C2212yes—
261#2392C2212yescomplemented
262#2367C2212yes—
263#2367C2212yescomplemented
264#2366C2212yes—
265#2365C2212yescomplemented
266#2363C2212yescomplemented
267#2362C2212yescomplemented
268#2361C2212yes—
269#2360C2212yes—
270#2357C2212yes—
271#2357C2214yescomplemented
272#2351C2212yescomplemented
273#2346C2212yescomplemented
274#2346C2214yescomplemented
275#2341C2212yes—
276#2328C2212yes—
277#2326C2212yescomplemented
278#2324C2214yescomplemented
279#2323C2214yescomplemented
280#2322C2214yescomplemented
281#2322C2214yescomplemented
282#2321C2214yes—
283#2319C2211yescharacteristic
284#2319C2211yescharacteristic
285#2319C2212yescomplemented
286#2319C2212yescomplemented
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2212yescomplemented
289C4×#123C2212yes—
290C4×#123C2214yescomplemented
291C4×#123C2212yescomplemented
292C4×#120C2214yes—
293#2290C2214yes—
294#2290C2214yescomplemented
295#2283C2212yescomplemented
296#2283C2211yescharacteristic, complemented
297#2283C2212yescomplemented
298#2283C2211yescharacteristic, complemented
299#2276C2211yescharacteristic, complemented
300#2276C2211yescharacteristic, complemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C24×C4C2312yes—
309#559—28no—
310#559—216no—
311#557—28no—
312#556—28no—
313#556—216no—
314#556—28no—
315#555—28no—
316#554—28no—
317#553—216no—
318#553—216no—
319#553—232no—
320#552—28no—
321#552—216no—
322#552—28no—
323#551—216no—
324#551—216no—
325#550—28no—
326#548—216no—
327#547—28no—
328#546—28no—
329#546—28no—
330#533—28no—
331#532—216no—
332#532—28no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×#127C2311yescharacteristic
339C2×#127C2312yes—
340C2×#127C2312yes—
341C2×#127C2312yes—
342#529—28no—
343#529—216no—
344#529—232no—
345#529—216no—
346#529—28no—
347#529—216no—
348C2×#126C2314yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2311yescharacteristic
362C2×#125C2314yes—
363C2×#125C2312yes—
364C2×#124C2311yescharacteristic
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376#525—216no—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#120C2312yes—
425C2×#120C2312yes—
426C2×#120C2314yes—
427C2×#120C2314yes—
428C4×#41—28no—
429C4×#41—216no—
430C4×#41—28no—
431C4×#41—216no—
432C4×#41D4116yescomplemented
433C2×C4×Q8—28no—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×D4—28no—
453C2×C4×D4C2314yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2314yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×#117—216no—
486C2×#117C2314yes—
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2311yescharacteristic
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2314yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2311yescharacteristic
502C2×#117C2312yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2311yescharacteristic
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2312yes—
510C22×C22⋊C4C2312yes—
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513C22×C42C2314yes—
514C22×C42C2312yes—
515C22×C42C2312yes—
516C22×C42C2312yes—
517C22×C42C2311yescharacteristic
518#400C2312yes—
519#400C2312yes—
520#400C2314yes—
521#400C2312yes—
522#400C2314yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2314yes—
527#399C2312yes—
528#399C2312yes—
529#399C2314yes—
530#399C2314yes—
531#399C2312yes—
532#399C2312yes—
533#399C2314yes—
534#398C2314yes—
535#398C2311yescharacteristic
536#398C2312yes—
537#398C2314yes—
538#398C2314yes—
539#398C2312yes—
540#398C2311yescharacteristic
541#398C2311yescharacteristic
542#398C2311yescharacteristic
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2312yes—
548#398C2312yes—
549#397C2314yes—
550#397C2314yes—
551#397C2312yes—
552#397C2312yes—
553#397C2311yescharacteristic
554#397C2311yescharacteristic
555#397C2311yescharacteristic
556#397C2311yescharacteristic
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#395C2311yescharacteristic
575#395C2312yes—
576#395C2314yes—
577#395C2314yes—
578#395C2312yes—
579#395C2312yes—
580#395C2312yes—
581#395C2311yescharacteristic
582#395C2311yescharacteristic
583#395C2311yescharacteristic
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2312yes—
588#394C2312yes—
589#394C2314yes—
590#394C2314yes—
591#394C2312yes—
592#394C2312yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2312yes—
611#394C2312yes—
612#393C2311yescharacteristic
613#393C2312yes—
614#393C2314yes—
615#393C2314yes—
616#393C2312yes—
617#393C2311yescharacteristic
618#393C2311yescharacteristic
619#393C2311yescharacteristic
620#392C2312yes—
621#392C2312yes—
622#392C2312yes—
623#392C2312yes—
624#392C2314yes—
625#392C2314yes—
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#391C2312yes—
635#391C2312yes—
636#391C2312yes—
637#391C2314yes—
638#391C2312yes—
639#391C2312yes—
640#391C2312yes—
641#391C2312yes—
642#391C2312yes—
643#391C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2314yes—
647#390C2314yes—
648#390C2314yes—
649#390C2314yes—
650#390C2314yes—
651#390C2314yes—
652#390C2314yes—
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2312yes—
660#390C2314yes—
661#390C2314yes—
662#390C2312yes—
663#390C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2314yes—
667#389C2314yes—
668#389C2314yes—
669#389C2314yes—
670#389C2314yes—
671#389C2314yes—
672#389C2314yes—
673#389C2314yes—
674#389C2314yes—
675#389C2314yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2314yes—
683#389C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2312yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2312yes—
715#388C2312yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#387C2312yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2312yes—
727#387C2312yes—
728#387C2314yes—
729#387C2312yes—
730#387C2312yes—
731#387C2314yes—
732#387C2314yes—
733#387C2312yes—
734#387C2314yes—
735#387C2314yes—
736#387C2312yes—
737#387C2312yes—
738#387C2314yes—
739#387C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2312yes—
762#386C2312yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2312yes—
774#385C2314yes—
775#385C2312yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2312yes—
781#385C2312yes—
782#385C2314yes—
783#385C2314yes—
784#385C2312yes—
785#385C2312yes—
786#384C2312yes—
787#383C2312yes—
788#383C2311yescharacteristic
789#383C2311yescharacteristic
790#382C2312yes—
791#382C2312yes—
792#382C2312yes—
793#382C2314yes—
794#382C2314yes—
795#381C2312yes—
796#381C2312yes—
797#381C2312yes—
798#381C2314yes—
799#381C2314yes—
800#381C2314yes—
801#381C2312yes—
802#381C2314yes—
803#381C2312yes—
804#381C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2311yescharacteristic
808#380C2311yescharacteristic
809#380C2314yes—
810#380C2314yes—
811#380C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#379C2314yes—
816#379C2314yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845#376C2311yescharacteristic
846#376C2311yescharacteristic
847#376C2312yes—
848#376C2312yes—
849#376C2312yes—
850#376C2314yes—
851C25C2412yes—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—48no—
863C2×#41C2×D418yes—
864C22×Q8—24no—
865C22×Q8—44no—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×D4—24no—
875C22×D4—44no—
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2414yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C23×C4—28no—
897C23×C4—44no—
898C23×C4—44no—
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2414yes—
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C4⋊Q8—28no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—24no—
926C4⋊Q8—44no—
927#127—28no—
928#127—24no—
929#127—44no—
930#127—44no—
931#126—28no—
932#126—28no—
933#126—216no—
934#126—28no—
935#126—216no—
936#126—28no—
937#126—28no—
938#126—28no—
939#126—216no—
940#125—28no—
941#125—24no—
942#125—216no—
943#125—28no—
944#125—28no—
945#125—24no—
946#125—28no—
947#124—24no—
948#124—28no—
949#124—28no—
950#124—216no—
951#124—28no—
952#124—24no—
953#124—28no—
954#124—28no—
955#124—28no—
956#124—44no—
957#124—44no—
958#124—44no—
959#123—28no—
960#123—28no—
961#123—28no—
962#123—28no—
963#123—216no—
964#123—28no—
965#123—28no—
966#123—216no—
967#123—28no—
968#123—28no—
969#123—216no—
970#123—44no—
971#123—48no—
972#123—48no—
973#123—44no—
974#123—48no—
975C22⋊Q8—24no—
976C22⋊Q8—24no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—216no—
982C22⋊Q8—24no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—44no—
987C22⋊Q8—44no—
988C22⋊Q8—48no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991#121—28no—
992#121—28no—
993#121—216no—
994#121—216no—
995#121—28no—
996#121—24no—
997#121—28no—
998#121—28no—
999#121—28no—
1000#121—24no—
1001#121—28no—
1002#121—216no—
1003#121—48no—
1004#121—44no—
1005#121—44no—
1006#120—28no—
1007#120—28no—
1008#120—48no—
1009#120—48no—
1010C4×Q8—24no—
1011C4×Q8—28no—
1012C4×Q8—28no—
1013C4×Q8—24no—
1014C4×Q8—28no—
1015C4×Q8—24no—
1016C4×Q8—24no—
1017C4×Q8—24no—
1018C4×Q8—28no—
1019C4×Q8—24no—
1020C4×Q8—28no—
1021C4×Q8—24no—
1022C4×Q8—24no—
1023C4×Q8—28no—
1024C4×Q8—44no—
1025C4×Q8—44no—
1026C4×Q8C2×D418yes—
1027C4×Q8C2×D418yes—
1028C4×D4—24no—
1029C4×D4—24no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—216no—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—24no—
1036C4×D4—24no—
1037C4×D4—216no—
1038C4×D4—28no—
1039C4×D4—216no—
1040C4×D4—24no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—216no—
1045C4×D4—28no—
1046C4×D4—216no—
1047C4×D4—24no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—48no—
1055C4×D4—48no—
1056C4×D4C2×D418yes—
1057C4×D4C2×D4116yes—
1058C4×D4C2×D418yes—
1059C4×D4C2×D4116yes—
1060#117—24no—
1061#117—28no—
1062#117—24no—
1063#117—28no—
1064#117—24no—
1065#117—28no—
1066#117—28no—
1067#117—28no—
1068#117—28no—
1069#117—28no—
1070#117—28no—
1071#117—28no—
1072#117—216no—
1073#117—24no—
1074#117—216no—
1075#117C2×D418yes—
1076#117C2×D4116yes—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—28no—
1079C2×C4⋊C4—28no—
1080C2×C4⋊C4—24no—
1081C2×C4⋊C4—24no—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C22⋊C4—28no—
1146C2×C22⋊C4—28no—
1147C2×C22⋊C4—28no—
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C42—28no—
1216C2×C42—28no—
1217C2×C42—24no—
1218C2×C42—24no—
1219C2×C42—216no—
1220C2×C42C2×D4116yes—
1221C2×C42C2×D418yes—
1222C2×C42C2412yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2411yescharacteristic
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2414yes—
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2414yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2414yes—
1240C2×C42C2414yes—
1241C2×C42C2414yes—
1242C2×C42C2414yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2414yes—
1255#95C2412yes—
1256#95C2411yescharacteristic
1257#95C2412yes—
1258#95C2411yescharacteristic
1259#95C2412yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303C24—24no—
1304C24—24no—
1305C24—42no—
1306C24—44no—
1307C24—44no—
1308C24C2512yes—
1309C24C2514yes—
1310C24C2511yescharacteristic
1311C24C2512yes—
1312C24C2511yescharacteristic
1313C24C2511yescharacteristic
1314#41—416no—
1315#41—416no—
1316#41—432no—
1317#41—416no—
1318#41—432no—
1319C2×Q8—22no—
1320C2×Q8—22no—
1321C2×Q8—24no—
1322C2×Q8—22no—
1323C2×Q8—22no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—24no—
1327C2×Q8—24no—
1328C2×Q8—24no—
1329C2×Q8—24no—
1330C2×Q8—24no—
1331C2×Q8—22no—
1332C2×Q8—24no—
1333C2×Q8—42no—
1334C2×Q8—42no—
1335C2×Q8—41no—
1336C2×Q8—44no—
1337C2×Q8—416no—
1338C2×Q8C22×D414yes—
1339C2×D4—22no—
1340C2×D4—24no—
1341C2×D4—22no—
1342C2×D4—28no—
1343C2×D4—24no—
1344C2×D4—28no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—28no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—28no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—24no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—41no—
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—42no—
1381C2×D4—42no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—416no—
1390C2×D4C22×D414yes—
1391C2×D4C22×D418yes—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—28no—
1405C22×C4—28no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—28no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—22no—
1417C22×C4—28no—
1418C22×C4—22no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—44no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—41no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—41no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—44no—
1445C22×C4—432no—
1446C22×C4C22×D414yes—
1447C22×C4C22×D418yes—
1448C22×C4C22×D418yes—
1449C22×C4C22×D418yes—
1450C22×C4C22×D414yes—
1451C22×C4C22×D414yes—
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2514yes—
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2514yes—
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2512yes—
1463C22×C4C2511yescharacteristic
1464C22×C4C2514yes—
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2512yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2512yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—22no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—28no—
1499C4⋊C4—24no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—28no—
1503C4⋊C4—22no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—22no—
1507C4⋊C4—22no—
1508C4⋊C4—28no—
1509C4⋊C4—24no—
1510C4⋊C4—28no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
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—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—44no—
1536C4⋊C4—42no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4C22×D414yes—
1541C4⋊C4C22×D414yes—
1542C4⋊C4C22×D418yes—
1543C4⋊C4C22×D418yes—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—22no—
1547C22⋊C4—28no—
1548C22⋊C4—22no—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—22no—
1554C22⋊C4—22no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—28no—
1564C22⋊C4—22no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—24no—
1568C22⋊C4—22no—
1569C22⋊C4—28no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—28no—
1576C22⋊C4—24no—
1577C22⋊C4—28no—
1578C22⋊C4—24no—
1579C22⋊C4—44no—
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—42no—
1590C22⋊C4—44no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—44no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4C22×D418yes—
1609C22⋊C4C22×D418yes—
1610C22⋊C4C22×D418yes—
1611C42—22no—
1612C42—24no—
1613C42—24no—
1614C42—24no—
1615C42—22no—
1616C42—24no—
1617C42—24no—
1618C42—22no—
1619C42—28no—
1620C42—22no—
1621C42—22no—
1622C42—28no—
1623C42—22no—
1624C42—24no—
1625C42—24no—
1626C42—24no—
1627C42—24no—
1628C42—44no—
1629C42—44no—
1630C42—44no—
1631C42—44no—
1632C42—42no—
1633C42—42no—
1634C42C22×D418yes—
1635C42C22×D414yes—
1636C42C22×D414yes—
1637C42C22×D418yes—
1638C42C22×D418yes—
1639C42C22×D414yes—
1640C42C22×D414yes—
1641C23—21no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—21no—
1647C23—21no—
1648C23—24no—
1649C23—22no—
1650C23—21no—
1651C23—22no—
1652C23—24no—
1653C23—22no—
1654C23—21no—
1655C23—24no—
1656C23—24no—
1657C23—22no—
1658C23—24no—
1659C23—21no—
1660C23—24no—
1661C23—22no—
1662C23—24no—
1663C23—22no—
1664C23—22no—
1665C23—24no—
1666C23—24no—
1667C23—24no—
1668C23—24no—
1669C23—21no—
1670C23—48no—
1671C23—48no—
1672C23—88no—
1673C23—84no—
1674C23—88no—
1675C23C23×D414yes—
1676C23C23×D412yes—
1677C23#58512yes—
1678C23C2611yescharacteristic
1679Q8—28no—
1680Q8—28no—
1681Q8—48no—
1682Q8—44no—
1683Q8—44no—
1684Q8—44no—
1685Q8—48no—
1686Q8—84no—
1687D4—28no—
1688D4—48no—
1689D4—44no—
1690D4—416no—
1691D4—44no—
1692D4—48no—
1693D4—44no—
1694D4—48no—
1695D4—416no—
1696D4—48no—
1697D4—44no—
1698D4—48no—
1699D4—84no—
1700D4—84no—
1701D4—88no—
1702D4—88no—
1703D4—84no—
1704D4—88no—
1705D4—164no—
1706D4—164no—
1707C2×C4—28no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—28no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—24no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—24no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—24no—
1771C2×C4—21no—
1772C2×C4—48no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—48no—
1776C2×C4—48no—
1777C2×C4—48no—
1778C2×C4—416no—
1779C2×C4—48no—
1780C2×C4—48no—
1781C2×C4—48no—
1782C2×C4—48no—
1783C2×C4—44no—
1784C2×C4—416no—
1785C2×C4—48no—
1786C2×C4—44no—
1787C2×C4—44no—
1788C2×C4—88no—
1789C2×C4—82no—
1790C2×C4—82no—
1791C2×C4—84no—
1792C2×C4—84no—
1793C2×C4C23×D412yes—
1794C2×C4C23×D412yes—
1795C2×C4C23×D414yes—
1796C2×C4C23×D412yes—
1797C2×C4C23×D414yes—
1798C2×C4C23×D412yes—
1799C2×C4C23×D414yes—
1800C2×C4C23×D412yes—
1801C2×C4C23×D412yes—
1802C2×C4#58512yes—
1803C2×C4#58514yes—
1804C2×C4#58514yes—
1805C22—24no—
1806C22—22no—
1807C22—22no—
1808C22—24no—
1809C22—22no—
1810C22—24no—
1811C22—22no—
1812C22—24no—
1813C22—42no—
1814C22—44no—
1815C22—42no—
1816C22—44no—
1817C22—42no—
1818C22—41no—
1819C22—41no—
1820C22—44no—
1821C22—42no—
1822C22—44no—
1823C22—44no—
1824C22—44no—
1825C22—44no—
1826C22—44no—
1827C22—42no—
1828C22—42no—
1829C22—44no—
1830C22—41no—
1831C22—41no—
1832C22—44no—
1833C22—42no—
1834C22—44no—
1835C22—41no—
1836C22—42no—
1837C22—816no—
1838C22C24×D411yescharacteristic
1839C22C2×#58511yescharacteristic
1840C22C2×#58512yes—
1841C22C2×#58512yes—
1842C22C2×#58511yescharacteristic
1843C4—22no—
1844C4—22no—
1845C4—24no—
1846C4—22no—
1847C4—24no—
1848C4—24no—
1849C4—22no—
1850C4—22no—
1851C4—22no—
1852C4—24no—
1853C4—42no—
1854C4—44no—
1855C4—42no—
1856C4—42no—
1857C4—44no—
1858C4—42no—
1859C4—42no—
1860C4—41no—
1861C4—42no—
1862C4—41no—
1863C4—42no—
1864C4—42no—
1865C4—42no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—44no—
1870C4—42no—
1871C4#344914yes—
1872C2—42no—
1873C2—44no—
1874C2—42no—
1875C2—84no—
1876C2—81no—
1877C2—82no—
1878C2C2×#344911yescharacteristic
1879C2#6281111yescharacteristic
1880C2#6281111yescharacteristic
1881C2#6303012yes—
1882C2#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×#3480C2semidirect
2. C2×#3475C2semidirect
3. #42680C2semidirect
4. #42676C2semidirect
5. #42483C2semidirect
6. #42479C2semidirect
7. #42172C2semidirect
8. #42169C2semidirect
9. #41990C2semidirect
10. #41985C2semidirect
11. #39889C2semidirect
12. #39888C2semidirect
13. #39882C2semidirect
14. #39879C2semidirect
15. #39871C2semidirect
16. #39868C2semidirect
17. #38387C2semidirect
18. #38386C2semidirect
19. #37552C2semidirect
20. #37544C2semidirect
21. #36441C2semidirect
22. #36437C2semidirect
23. #36231C2semidirect
24. #36230C2semidirect
25. #35956C2semidirect
26. #35949C2semidirect
27. #35938C2semidirect
28. #35853C2semidirect
29. #35342C2semidirect
30. #35190C2semidirect
31. #35118C2semidirect
32. #35111C2semidirect
33. #34971C2semidirect
34. #34875C2semidirect
35. #34197C2semidirect
38. C2×#559C22semidirect
39. C2×#557C22semidirect
43. C2×#556C22semidirect
47. C2×#553C22semidirect
48. C2×#553C22semidirect
55. C2×#548C22semidirect
61. C2×#532C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
72. C2×C4×#41C22semidirect
73. C2×C4×#41C22semidirect
74. C22×C4×Q8C22semidirect
77. #2855C22semidirect
79. #2853C22semidirect
80. #2851C22semidirect
82. #2850C22semidirect
83. #2850C22semidirect
85. #2817C22semidirect
87. #2816C22semidirect
89. #2813C22semidirect
90. #2813C22semidirect
91. #2727C22semidirect
92. #2725C22semidirect
94. #2705C22semidirect
95. #2704C22semidirect
98. #2702C22semidirect
99. #2701C22semidirect
100. #2701C22semidirect
102. #2699C22semidirect
103. #2698C22semidirect
104. #2689C22semidirect
108. #2682C22semidirect
109. #2681C22semidirect
110. #2681C22semidirect
113. #2672C22semidirect
115. #2664C22semidirect
116. #2664C22semidirect
117. #2662C22semidirect
118. #2662C22semidirect
121. #2642C22semidirect
122. #2641C22semidirect
123. #2637C22semidirect
124. #2636C22semidirect
125. #2636C22semidirect
127. #2635C22semidirect
128. #2635C22semidirect
130. #2630C22semidirect
131. #2627C22semidirect
133. #2625C22semidirect
135. #2623C22semidirect
136. #2618C22semidirect
138. #2616C22semidirect
140. #2614C22semidirect
142. #2611C22semidirect
143. #2611C22semidirect
145. #2610C22semidirect
146. #2610C22semidirect
149. #2609C22semidirect
150. #2609C22semidirect
151. #2604C22semidirect
152. #2604C22semidirect
153. #2604C22semidirect
154. #2603C22semidirect
155. #2603C22semidirect
158. #2602C22semidirect
159. #2602C22semidirect
161. #2601C22semidirect
163. #2600C22semidirect
166. #2599C22semidirect
167. #2599C22semidirect
168. #2599C22semidirect
169. #2599C22semidirect
171. #2598C22semidirect
172. #2598C22semidirect
173. #2598C22semidirect
176. #2584C22semidirect
177. #2584C22semidirect
178. #2581C22semidirect
179. #2581C22semidirect
181. #2579C22semidirect
182. #2568C22semidirect
184. #2558C22semidirect
185. #2556C22semidirect
186. #2554C22semidirect
188. #2548C22semidirect
189. #2546C22semidirect
191. #2545C22semidirect
192. #2545C22semidirect
198. #2519C22semidirect
199. #2506C22semidirect
200. #2500C22semidirect
202. #2486C22semidirect
203. #2484C22semidirect
204. #2484C22semidirect
206. #2474C22semidirect
208. #2470C22semidirect
209. #2468C22semidirect
210. #2466C22semidirect
211. #2464C22semidirect
212. #2461C22semidirect
213. #2461C22semidirect
214. #2461C22semidirect
216. #2459C22semidirect
218. #2457C22semidirect
219. #2456C22semidirect
222. #2454C22semidirect
223. #2453C22semidirect
224. #2452C22semidirect
225. #2451C22semidirect
234. #2432C22semidirect
240. #2429C22semidirect
245. #2426C22semidirect
248. #2409C22semidirect
250. #2407C22semidirect
252. #2406C22semidirect
254. #2399C22semidirect
255. #2399C22semidirect
259. #2396C22semidirect
261. #2392C22semidirect
263. #2367C22semidirect
265. #2365C22semidirect
266. #2363C22semidirect
267. #2362C22semidirect
271. #2357C22semidirect
272. #2351C22semidirect
273. #2346C22semidirect
274. #2346C22semidirect
277. #2326C22semidirect
278. #2324C22semidirect
279. #2323C22semidirect
280. #2322C22semidirect
281. #2322C22semidirect
285. #2319C22semidirect
286. #2319C22semidirect
288. C4×C22⋊Q8C22semidirect
290. C4×#123C22semidirect
291. C4×#123C22semidirect
294. #2290C22semidirect
295. #2283C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
298. #2283C22semidirect
299. #2276C22semidirect
300. #2276C22semidirect
432. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34802
C2×#34752
#426802
#426762
#424832
#424792
#421722
#421692
#419902
#419852
#398892
#398882
#398822
#398792
#398712
#398682
#383872
#383862
#375522
#375442
#364412
#364372
#362312
#362302
#359562
#359492
#359382
#358532
#353422
#351902
#351182
#351112
#349712
#348752
#341972