Finite Group Databasebeta

← #7648501

Subgroups — #7648501

Order 512.

6784 conjugacy classes of subgroups.

The subgroup lattice has 1955 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3510C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#42174C212yesmaximal, complemented
4#42169C212yesmaximal, complemented
5#41992C212yesmaximal, complemented
6#41985C212yesmaximal, complemented
7#41424C212yesmaximal, complemented
8#41418C212yesmaximal, complemented
9#40607C212yesmaximal, complemented
10#40601C212yesmaximal, complemented
11#39943C214yesmaximal, complemented
12#39941C214yesmaximal, complemented
13#38435C214yesmaximal, complemented
14#38430C214yesmaximal, complemented
15#37621C211yesmaximal, characteristic, complemented
16#37560C211yesmaximal, characteristic, complemented
17#37550C211yesmaximal, characteristic, complemented
18#37546C211yesmaximal, characteristic, complemented
19#37376C212yesmaximal, complemented
20#37280C212yesmaximal, complemented
21#37277C212yesmaximal, complemented
22#37273C212yesmaximal, complemented
23#35663C212yesmaximal, complemented
24#35522C212yesmaximal, complemented
25#35297C211yesmaximal, characteristic, complemented
26#35258C212yesmaximal, complemented
27#35258C212yesmaximal, complemented
28#35247C211yesmaximal, characteristic, complemented
29#35234C211yesmaximal, characteristic, complemented
30#35212C211yesmaximal, characteristic, complemented
31#35129C211yesmaximal, characteristic, complemented
32#35111C211yesmaximal, characteristic, complemented
33#34964C211yesmaximal, characteristic, complemented
34#34911C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36#3510—216no—
37#3480—216no—
38C2×#559C2212yes—
39C2×#559C2212yes—
40C2×#559C2212yes—
41C2×#559C2211yescharacteristic, complemented
42C2×#557C2211yescharacteristic, complemented
43C2×#556C2212yes—
44C2×#556C2212yes—
45C2×#556C2211yescharacteristic
46C2×#556C2212yescomplemented
47C2×#553C2211yescharacteristic
48C2×#553C2212yes—
49C2×#553C2212yescomplemented
50C2×#553C2211yescharacteristic, complemented
51C2×#551C2212yes—
52C2×#551C2212yes—
53C2×#551C2212yes—
54C2×#551C2212yes—
55C2×#550C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#548C2211yescharacteristic, complemented
58C2×#542C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#542C2211yescharacteristic
61C2×#542C2211yescharacteristic
62C2×#536C2211yescharacteristic
63C2×#535C2211yescharacteristic
64C2×#533C2211yescharacteristic
65C2×#532C2212yes—
66C2×#532C2211yescharacteristic, complemented
67C2×#529C2211yescharacteristic
68C2×#529C2212yes—
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2211yescharacteristic
73C2×#529C2211yescharacteristic, complemented
74C2×#529C2212yescomplemented
75C22×#124C2211yescharacteristic
76C2×#519C2211yescharacteristic
77C2×#518C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic
79C2×C4×#41C2211yescharacteristic
80C2×C4×#41C2211yescharacteristic, complemented
81C2×C4×#41C2212yescomplemented
82C22×C4×Q8C2211yescharacteristic, complemented
83#2860C2214yescomplemented
84#2857C2212yescomplemented
85#2857C2212yescomplemented
86#2855C2212yescomplemented
87#2855C2212yescomplemented
88#2854C2212yes—
89#2854C2212yes—
90#2854C2214yescomplemented
91#2850C2212yes—
92#2850C2212yes—
93#2821C2212yescomplemented
94#2820C2212yes—
95#2819C2212yes—
96#2818C2212yescomplemented
97#2817C2212yes—
98#2816C2212yes—
99#2813C2212yescomplemented
100#2813C2212yescomplemented
101#2734C2214yescomplemented
102#2733C2214yes—
103#2731C2214yes—
104#2731C2214yescomplemented
105#2727C2214yescomplemented
106#2725C2214yescomplemented
107#2717C2214yes—
108#2715C2214yescomplemented
109#2712C2214yescomplemented
110#2709C2214yes—
111#2705C2214yescomplemented
112#2704C2214yescomplemented
113#2702C2214yescomplemented
114#2702C2214yescomplemented
115#2701C2214yes—
116#2701C2214yes—
117#2695C2214yescomplemented
118#2693C2214yescomplemented
119#2686C2214yescomplemented
120#2686C2214yescomplemented
121#2684C2214yes—
122#2683C2214yescomplemented
123#2681C2214yescomplemented
124#2678C2214yes—
125#2678C2214yes—
126#2676C2214yescomplemented
127#2673C2214yes—
128#2673C2214yes—
129#2672C2214yescomplemented
130#2672C2214yescomplemented
131#2671C2214yescomplemented
132#2669C2214yes—
133#2664C2212yescomplemented
134#2663C2214yes—
135#2663C2212yescomplemented
136#2662C2214yes—
137#2662C2214yescomplemented
138#2662C2212yescomplemented
139#2661C2214yescomplemented
140#2661C2212yescomplemented
141#2637C2212yescomplemented
142#2637C2212yescomplemented
143#2635C2212yescomplemented
144#2635C2212yescomplemented
145#2634C2212yescomplemented
146#2632C2212yes—
147#2632C2212yescomplemented
148#2631C2212yes—
149#2628C2212yescomplemented
150#2628C2212yescomplemented
151#2628C2212yescomplemented
152#2626C2212yes—
153#2625C2212yes—
154#2623C2212yescomplemented
155#2620C2212yes—
156#2620C2212yes—
157#2619C2212yescomplemented
158#2617C2212yes—
159#2616C2212yes—
160#2616C2212yescomplemented
161#2616C2212yescomplemented
162#2615C2212yes—
163#2615C2212yes—
164#2614C2212yescomplemented
165#2611C2212yescomplemented
166#2610C2214yes—
167#2610C2214yescomplemented
168#2610C2212yescomplemented
169#2604C2214yescomplemented
170#2604C2214yescomplemented
171#2604C2212yescomplemented
172#2603C2212yescomplemented
173#2602C2214yescomplemented
174#2602C2214yescomplemented
175#2601C2214yescomplemented
176#2601C2214yescomplemented
177#2599C2212yescomplemented
178#2599C2212yescomplemented
179#2592C2211yescharacteristic
180#2592C2211yescharacteristic
181#2592C2211yescharacteristic
182#2592C2211yescharacteristic
183#2584C2211yescharacteristic, complemented
184#2584C2211yescharacteristic, complemented
185#2584C2211yescharacteristic, complemented
186#2584C2211yescharacteristic, complemented
187#2582C2212yescomplemented
188#2581C2212yescomplemented
189#2581C2212yescomplemented
190#2580C2212yes—
191#2564C2212yescomplemented
192#2562C2211yescharacteristic, complemented
193#2562C2211yescharacteristic, complemented
194#2562C2211yescharacteristic, complemented
195#2562C2211yescharacteristic, complemented
196#2543C2212yescomplemented
197#2540C2211yescharacteristic
198#2540C2211yescharacteristic
199#2540C2211yescharacteristic
200#2540C2211yescharacteristic
201#2538C2212yes—
202#2538C2212yescomplemented
203#2537C2212yes—
204#2536C2212yescomplemented
205#2536C2212yescomplemented
206#2535C2212yes—
207#2498C2212yescomplemented
208#2486C2212yescomplemented
209#2485C2212yes—
210#2485C2212yes—
211#2485C2212yes—
212#2485C2212yes—
213#2482C2212yes—
214#2480C2214yes—
215#2478C2214yes—
216#2476C2214yes—
217#2474C2214yes—
218#2472C2214yes—
219#2470C2214yes—
220#2469C2214yescomplemented
221#2469C2214yescomplemented
222#2469C2214yescomplemented
223#2467C2214yes—
224#2467C2214yescomplemented
225#2467C2214yescomplemented
226#2465C2214yescomplemented
227#2465C2214yescomplemented
228#2465C2214yescomplemented
229#2463C2214yes—
230#2463C2214yescomplemented
231#2463C2214yescomplemented
232#2462C2214yescomplemented
233#2461C2214yescomplemented
234#2461C2214yescomplemented
235#2460C2214yes—
236#2459C2214yescomplemented
237#2459C2214yescomplemented
238#2458C2214yescomplemented
239#2457C2214yescomplemented
240#2457C2214yescomplemented
241#2456C2214yes—
242#2455C2214yescomplemented
243#2455C2214yescomplemented
244#2430C2212yescomplemented
245#2424C2214yes—
246#2418C2214yes—
247#2417C2212yescomplemented
248#2417C2212yescomplemented
249#2416C2212yes—
250#2416C2212yes—
251#2415C2214yes—
252#2415C2212yescomplemented
253#2415C2212yescomplemented
254#2414C2212yes—
255#2414C2212yes—
256#2414C2214yescomplemented
257#2413C2214yescomplemented
258#2411C2214yes—
259#2409C2212yes—
260#2409C2212yes—
261#2409C2212yescomplemented
262#2408C2212yes—
263#2408C2212yes—
264#2404C2212yes—
265#2396C2212yescomplemented
266#2395C2212yescomplemented
267#2392C2212yescomplemented
268#2388C2212yescomplemented
269#2324C2212yes—
270#2324C2212yes—
271#2323C2214yescomplemented
272#2323C2214yescomplemented
273#2323C2212yescomplemented
274#2323C2212yescomplemented
275#2322C2214yescomplemented
276#2321C2214yes—
277#2320C2212yescomplemented
278#2319C2212yes—
279#2318C2212yes—
280#2318C2212yescomplemented
281#2317C2212yescomplemented
282#2314C2212yes—
283#2314C2212yescomplemented
284#2311C2212yes—
285C4×C22⋊Q8C2212yescomplemented
286C4×C22⋊Q8C2212yescomplemented
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#121C2214yescomplemented
290#2295C2212yescomplemented
291#2293C2212yes—
292#2293C2214yescomplemented
293#2290C2212yes—
294#2290C2212yescomplemented
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic, complemented
297#2283C2211yescharacteristic
298#2283C2211yescharacteristic, complemented
299C4×#117C2211yescharacteristic, complemented
300C2×C4×C4⋊C4C2211yescharacteristic, complemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×D4C2311yescharacteristic
308#559—28no—
309#559—216no—
310#559—216no—
311#559—216no—
312#557—28no—
313#556—216no—
314#556—216no—
315#556—216no—
316#556—28no—
317#553—28no—
318#553—216no—
319#553—28no—
320#553—216no—
321#551—216no—
322#551—216no—
323#551—216no—
324#551—216no—
325#550—28no—
326#548—28no—
327#548—28no—
328#542—28no—
329#542—28no—
330#542—28no—
331#542—28no—
332#536—28no—
333#535—28no—
334#533—28no—
335#532—216no—
336#532—28no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×#127C2311yescharacteristic
343C2×#127C2312yes—
344C2×#127C2312yes—
345#529—216no—
346#529—216no—
347#529—28no—
348#529—28no—
349#529—28no—
350#529—28no—
351#529—28no—
352#529—28no—
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×#126C2312yes—
366C2×#126C2312yes—
367C2×#125C2311yescharacteristic
368C2×#125C2311yescharacteristic
369C2×#125C2311yescharacteristic
370C2×#125C2311yescharacteristic
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#124—28no—
374C2×#124C2311yescharacteristic
375C2×#124C2312yes—
376C2×#124C2311yescharacteristic
377C2×#124C2311yescharacteristic
378C2×#124C2311yescharacteristic
379C2×#124C2311yescharacteristic
380C2×#124C2312yes—
381C2×#124C2311yescharacteristic
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#124C2312yes—
389C2×#124C2312yes—
390C2×#124C2312yes—
391C2×#124C2312yes—
392C2×#124C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2314yes—
410C2×#123C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2314yes—
428C2×C22⋊Q8C2314yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2314yes—
432C2×#121C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#121C2311yescharacteristic
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×#121C2314yes—
453C2×#121C2314yes—
454C2×#120C2312yes—
455C2×#120C2312yes—
456C2×#120C2314yes—
457C2×#120C2314yes—
458#519—28no—
459#518—28no—
460C4×#41—216no—
461C4×#41—28no—
462C4×#41—28no—
463C4×#41D4116yescomplemented
464C2×C4×Q8—28no—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2312yes—
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2312yes—
480C2×C4×Q8C2312yes—
481C2×C4×Q8C2312yes—
482C2×C4×Q8C2312yes—
483C2×C4×Q8C2311yescharacteristic
484C2×C4×Q8C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2311yescharacteristic
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×#117C2311yescharacteristic
531C2×#117C2311yescharacteristic
532C2×#117C2312yes—
533C2×#117C2312yes—
534C2×#117C2312yes—
535C2×#117C2312yes—
536C2×#117C2312yes—
537C2×#117C2311yescharacteristic
538C2×#117C2311yescharacteristic
539C2×#117C2311yescharacteristic
540C22×C4⋊C4C2312yes—
541C22×C4⋊C4C2311yescharacteristic
542C22×C4⋊C4C2312yes—
543C22×C22⋊C4C2312yes—
544C22×C22⋊C4C2312yes—
545C22×C22⋊C4C2312yes—
546C22×C22⋊C4C2312yes—
547C22×C42C2312yes—
548C22×C42C2312yes—
549C22×C42C2312yes—
550C22×C42C2312yes—
551C22×C42C2311yescharacteristic
552C22×C42C2311yescharacteristic
553C22×C42C2311yescharacteristic
554#400C2312yes—
555#400C2312yes—
556#400C2314yes—
557#400C2312yes—
558#400C2312yes—
559#400C2314yes—
560#400C2314yes—
561#399C2314yes—
562#399C2312yes—
563#399C2312yes—
564#399C2312yes—
565#399C2312yes—
566#399C2314yes—
567#399C2314yes—
568#398C2312yes—
569#398C2312yes—
570#398C2314yes—
571#398C2314yes—
572#398C2314yes—
573#398C2312yes—
574#398C2312yes—
575#398C2314yes—
576#398C2314yes—
577#397C2314yes—
578#397C2314yes—
579#397C2312yes—
580#397C2312yes—
581#397C2314yes—
582#397C2312yes—
583#397C2312yes—
584#397C2314yes—
585#397C2314yes—
586#397C2314yes—
587#397C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#396C2314yes—
596#396C2314yes—
597#396C2314yes—
598#396C2314yes—
599#396C2314yes—
600#395C2312yes—
601#395C2312yes—
602#395C2314yes—
603#395C2314yes—
604#395C2314yes—
605#395C2312yes—
606#395C2312yes—
607#395C2314yes—
608#395C2314yes—
609#395C2314yes—
610#395C2314yes—
611#394C2312yes—
612#394C2312yes—
613#394C2314yes—
614#394C2314yes—
615#394C2312yes—
616#394C2312yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
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#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#393C2314yes—
641#393C2312yes—
642#393C2312yes—
643#393C2314yes—
644#393C2314yes—
645#393C2314yes—
646#393C2312yes—
647#393C2312yes—
648#393C2314yes—
649#393C2314yes—
650#393C2314yes—
651#392C2312yes—
652#392C2314yes—
653#392C2312yes—
654#392C2314yes—
655#392C2312yes—
656#392C2314yes—
657#392C2314yes—
658#392C2314yes—
659#392C2314yes—
660#392C2314yes—
661#392C2314yes—
662#392C2314yes—
663#392C2314yes—
664#392C2314yes—
665#392C2312yes—
666#391C2314yes—
667#391C2312yes—
668#391C2312yes—
669#391C2314yes—
670#391C2314yes—
671#391C2312yes—
672#391C2314yes—
673#391C2312yes—
674#390C2314yes—
675#390C2314yes—
676#390C2314yes—
677#390C2312yes—
678#390C2312yes—
679#390C2314yes—
680#390C2314yes—
681#390C2312yes—
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#389C2312yes—
695#389C2314yes—
696#389C2314yes—
697#389C2314yes—
698#389C2314yes—
699#389C2314yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2314yes—
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#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#388C2314yes—
748#387C2314yes—
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#387C2314yes—
763#387C2314yes—
764#387C2314yes—
765#387C2314yes—
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#386C2314yes—
785#386C2314yes—
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#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2314yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825#380C2314yes—
826#380C2314yes—
827#380C2314yes—
828#380C2314yes—
829#380C2314yes—
830#379C2314yes—
831#379C2314yes—
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—
857C25C2412yes—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41C2×D418yes—
867C22×Q8—24no—
868C22×Q8—24no—
869C22×Q8—44no—
870C22×Q8—44no—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2412yes—
878C22×Q8C2412yes—
879C22×Q8C2412yes—
880C22×Q8C2411yescharacteristic
881C22×D4—24no—
882C22×D4—44no—
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2411yescharacteristic
905C22×D4C2411yescharacteristic
906C22×D4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2414yes—
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C4⋊Q8—28no—
931C4⋊Q8—28no—
932C4⋊Q8—24no—
933C4⋊Q8—24no—
934C4⋊Q8—24no—
935#127—28no—
936#127—28no—
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—24no—
955#125—24no—
956#125—24no—
957#125—24no—
958#124—28no—
959#124—28no—
960#124—28no—
961#124—28no—
962#124—28no—
963#124—28no—
964#124—28no—
965#124—28no—
966#124—28no—
967#124—28no—
968#124—24no—
969#124—24no—
970#124—24no—
971#124—24no—
972#124—28no—
973#124—28no—
974#124—24no—
975#124—24no—
976#124—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—28no—
990#123—28no—
991#123—28no—
992#123—28no—
993#123—48no—
994#123—84no—
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—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—48no—
1010C22⋊Q8—48no—
1011C22⋊Q8—44no—
1012C22⋊Q8—44no—
1013C22⋊Q8—44no—
1014C22⋊Q8—44no—
1015C22⋊Q8—84no—
1016#121—28no—
1017#121—28no—
1018#121—28no—
1019#121—28no—
1020#121—24no—
1021#121—24no—
1022#121—24no—
1023#121—24no—
1024#121—24no—
1025#121—24no—
1026#121—24no—
1027#121—24no—
1028#121—28no—
1029#121—28no—
1030#121—28no—
1031#121—48no—
1032#121—44no—
1033#121—44no—
1034#121—44no—
1035#121—44no—
1036#121—84no—
1037#121—84no—
1038#120—28no—
1039#120—28no—
1040#120—48no—
1041#120—84no—
1042C4×Q8—28no—
1043C4×Q8—28no—
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×Q8—28no—
1059C4×Q8—28no—
1060C4×Q8C2×D418yes—
1061C4×Q8C2×D418yes—
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—48no—
1090C4×D4—84no—
1091C4×D4C2×D418yes—
1092C4×D4C2×D418yes—
1093C4×D4C2×D418yes—
1094C4×D4C2×D418yes—
1095C4×D4C2×D418yes—
1096C4×D4C2×D418yes—
1097#117—24no—
1098#117—24no—
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—44no—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2411yescharacteristic
1178C2×C4⋊C4C2411yescharacteristic
1179C2×C4⋊C4C2411yescharacteristic
1180C2×C4⋊C4C2411yescharacteristic
1181C2×C4⋊C4C2411yescharacteristic
1182C2×C4⋊C4C2411yescharacteristic
1183C2×C22⋊C4—28no—
1184C2×C22⋊C4—28no—
1185C2×C22⋊C4—28no—
1186C2×C22⋊C4—28no—
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⋊C4C2414yes—
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⋊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⋊C4C2411yescharacteristic
1255C2×C22⋊C4C2411yescharacteristic
1256C2×C22⋊C4C2411yescharacteristic
1257C2×C22⋊C4C2411yescharacteristic
1258C2×C22⋊C4C2411yescharacteristic
1259C2×C22⋊C4C2411yescharacteristic
1260C2×C42—28no—
1261C2×C42—28no—
1262C2×C42—28no—
1263C2×C42—82no—
1264C2×C42C2×D418yes—
1265C2×C42C2×D418yes—
1266C2×C42C2×D418yes—
1267C2×C42C2412yes—
1268C2×C42C2412yes—
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—
1336C24—24no—
1337C24—44no—
1338C24—44no—
1339C24—42no—
1340C24—42no—
1341C24C2512yes—
1342C24C2512yes—
1343C24C2512yes—
1344C24C2512yes—
1345C24C2511yescharacteristic
1346C24C2511yescharacteristic
1347C24C2511yescharacteristic
1348#41—416no—
1349#41—432no—
1350#41—416no—
1351#41—416no—
1352C2×Q8—22no—
1353C2×Q8—24no—
1354C2×Q8—22no—
1355C2×Q8—22no—
1356C2×Q8—22no—
1357C2×Q8—24no—
1358C2×Q8—24no—
1359C2×Q8—24no—
1360C2×Q8—24no—
1361C2×Q8—24no—
1362C2×Q8—24no—
1363C2×Q8—24no—
1364C2×Q8—24no—
1365C2×Q8—42no—
1366C2×Q8—44no—
1367C2×Q8—42no—
1368C2×Q8—42no—
1369C2×Q8—42no—
1370C2×Q8—42no—
1371C2×Q8—44no—
1372C2×Q8—42no—
1373C2×Q8—42no—
1374C2×Q8—416no—
1375C2×Q8—416no—
1376C2×Q8C22×D414yes—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—44no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—416no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—44no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—42no—
1430C2×D4—42no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4C22×D414yes—
1438C2×D4C22×D414yes—
1439C2×D4C22×D414yes—
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—24no—
1462C22×C4—24no—
1463C22×C4—41no—
1464C22×C4—41no—
1465C22×C4—41no—
1466C22×C4—41no—
1467C22×C4—41no—
1468C22×C4—41no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—44no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—44no—
1482C22×C4—42no—
1483C22×C4—44no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—42no—
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×C4C2511yescharacteristic
1516C22×C4C2511yescharacteristic
1517C22×C4C2511yescharacteristic
1518C22×C4C2511yescharacteristic
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2512yes—
1527C22×C4C2511yescharacteristic
1528C4⋊C4—24no—
1529C4⋊C4—22no—
1530C4⋊C4—24no—
1531C4⋊C4—22no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—22no—
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—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—28no—
1569C4⋊C4—28no—
1570C4⋊C4—44no—
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⋊C4—44no—
1585C4⋊C4C22×D414yes—
1586C4⋊C4C22×D414yes—
1587C4⋊C4C22×D414yes—
1588C4⋊C4C22×D414yes—
1589C4⋊C4C22×D414yes—
1590C4⋊C4C22×D414yes—
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—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—28no—
1630C22⋊C4—28no—
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—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—22no—
1719C23—22no—
1720C23—24no—
1721C23—24no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—48no—
1732C23—84no—
1733C23—84no—
1734C23—164no—
1735C23—164no—
1736C23C23×D412yes—
1737C23C23×D412yes—
1738C23C23×D412yes—
1739C23C2611yescharacteristic
1740Q8—28no—
1741Q8—44no—
1742Q8—48no—
1743Q8—44no—
1744Q8—48no—
1745Q8—48no—
1746Q8—44no—
1747Q8—44no—
1748Q8—84no—
1749Q8—84no—
1750D4—44no—
1751D4—44no—
1752D4—44no—
1753D4—48no—
1754D4—48no—
1755D4—48no—
1756D4—44no—
1757D4—44no—
1758D4—48no—
1759D4—48no—
1760D4—48no—
1761D4—44no—
1762D4—44no—
1763D4—84no—
1764D4—84no—
1765D4—84no—
1766D4—84no—
1767D4—84no—
1768D4—84no—
1769D4—84no—
1770D4—88no—
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—22no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—28no—
1792C2×C4—28no—
1793C2×C4—28no—
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—24no—
1811C2×C4—24no—
1812C2×C4—24no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—22no—
1816C2×C4—22no—
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—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—24no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—48no—
1842C2×C4—48no—
1843C2×C4—48no—
1844C2×C4—48no—
1845C2×C4—48no—
1846C2×C4—48no—
1847C2×C4—84no—
1848C2×C4—84no—
1849C2×C4—84no—
1850C2×C4—84no—
1851C2×C4—84no—
1852C2×C4—84no—
1853C2×C4—84no—
1854C2×C4—88no—
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×C4C23×D412yes—
1866C2×C4C23×D412yes—
1867C2×C4#58514yes—
1868C2×C4#58514yes—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—22no—
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—44no—
1895C22—44no—
1896C22—42no—
1897C22—42no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—44no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—44no—
1908C22—168no—
1909C22C24×D411yescharacteristic
1910C22C2×#58512yes—
1911C22C2×#58512yes—
1912C22H(7,𝔽2)11yescharacteristic
1913C222−1+611yescharacteristic
1914C4—22no—
1915C4—22no—
1916C4—22no—
1917C4—24no—
1918C4—22no—
1919C4—22no—
1920C4—22no—
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—42no—
1927C4—42no—
1928C4—42no—
1929C4—42no—
1930C4—42no—
1931C4—42no—
1932C4—42no—
1933C4—44no—
1934C4—44no—
1935C4—44no—
1936C4—42no—
1937C4—42no—
1938C4—42no—
1939C4—42no—
1940C4—44no—
1941C4#344914yes—
1942C2—42no—
1943C2—42no—
1944C2—42no—
1945C2—82no—
1946C2—82no—
1947C2—82no—
1948C2—82no—
1949C2C2×#344911yescharacteristic
1950C2#6281111yescharacteristic
1951C2#6285311yescharacteristic
1952C2#6293812yes—
1953C2#6296812yes—
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×#3510C2semidirect
2. C2×#3480C2semidirect
3. #42174C2semidirect
4. #42169C2semidirect
5. #41992C2semidirect
6. #41985C2semidirect
7. #41424C2semidirect
8. #41418C2semidirect
9. #40607C2semidirect
10. #40601C2semidirect
11. #39943C2semidirect
12. #39941C2semidirect
13. #38435C2semidirect
14. #38430C2semidirect
15. #37621C2semidirect
16. #37560C2semidirect
17. #37550C2semidirect
18. #37546C2semidirect
19. #37376C2semidirect
20. #37280C2semidirect
21. #37277C2semidirect
22. #37273C2semidirect
23. #35663C2semidirect
24. #35522C2semidirect
25. #35297C2semidirect
26. #35258C2semidirect
27. #35258C2semidirect
28. #35247C2semidirect
29. #35234C2semidirect
30. #35212C2semidirect
31. #35129C2semidirect
32. #35111C2semidirect
33. #34964C2semidirect
34. #34911C2semidirect
35. #34060C2semidirect
41. C2×#559C22semidirect
42. C2×#557C22semidirect
46. C2×#556C22semidirect
49. C2×#553C22semidirect
50. C2×#553C22semidirect
57. C2×#548C22semidirect
66. C2×#532C22semidirect
73. C2×#529C22semidirect
74. C2×#529C22semidirect
80. C2×C4×#41C22semidirect
81. C2×C4×#41C22semidirect
82. C22×C4×Q8C22semidirect
83. #2860C22semidirect
84. #2857C22semidirect
85. #2857C22semidirect
86. #2855C22semidirect
87. #2855C22semidirect
90. #2854C22semidirect
93. #2821C22semidirect
96. #2818C22semidirect
99. #2813C22semidirect
100. #2813C22semidirect
101. #2734C22semidirect
104. #2731C22semidirect
105. #2727C22semidirect
106. #2725C22semidirect
108. #2715C22semidirect
109. #2712C22semidirect
111. #2705C22semidirect
112. #2704C22semidirect
113. #2702C22semidirect
114. #2702C22semidirect
117. #2695C22semidirect
118. #2693C22semidirect
119. #2686C22semidirect
120. #2686C22semidirect
122. #2683C22semidirect
123. #2681C22semidirect
126. #2676C22semidirect
129. #2672C22semidirect
130. #2672C22semidirect
131. #2671C22semidirect
133. #2664C22semidirect
135. #2663C22semidirect
137. #2662C22semidirect
138. #2662C22semidirect
139. #2661C22semidirect
140. #2661C22semidirect
141. #2637C22semidirect
142. #2637C22semidirect
143. #2635C22semidirect
144. #2635C22semidirect
145. #2634C22semidirect
147. #2632C22semidirect
149. #2628C22semidirect
150. #2628C22semidirect
151. #2628C22semidirect
154. #2623C22semidirect
157. #2619C22semidirect
160. #2616C22semidirect
161. #2616C22semidirect
164. #2614C22semidirect
165. #2611C22semidirect
167. #2610C22semidirect
168. #2610C22semidirect
169. #2604C22semidirect
170. #2604C22semidirect
171. #2604C22semidirect
172. #2603C22semidirect
173. #2602C22semidirect
174. #2602C22semidirect
175. #2601C22semidirect
176. #2601C22semidirect
177. #2599C22semidirect
178. #2599C22semidirect
183. #2584C22semidirect
184. #2584C22semidirect
185. #2584C22semidirect
186. #2584C22semidirect
187. #2582C22semidirect
188. #2581C22semidirect
189. #2581C22semidirect
191. #2564C22semidirect
192. #2562C22semidirect
193. #2562C22semidirect
194. #2562C22semidirect
195. #2562C22semidirect
196. #2543C22semidirect
202. #2538C22semidirect
204. #2536C22semidirect
205. #2536C22semidirect
207. #2498C22semidirect
208. #2486C22semidirect
220. #2469C22semidirect
221. #2469C22semidirect
222. #2469C22semidirect
224. #2467C22semidirect
225. #2467C22semidirect
226. #2465C22semidirect
227. #2465C22semidirect
228. #2465C22semidirect
230. #2463C22semidirect
231. #2463C22semidirect
232. #2462C22semidirect
233. #2461C22semidirect
234. #2461C22semidirect
236. #2459C22semidirect
237. #2459C22semidirect
238. #2458C22semidirect
239. #2457C22semidirect
240. #2457C22semidirect
242. #2455C22semidirect
243. #2455C22semidirect
244. #2430C22semidirect
247. #2417C22semidirect
248. #2417C22semidirect
252. #2415C22semidirect
253. #2415C22semidirect
256. #2414C22semidirect
257. #2413C22semidirect
261. #2409C22semidirect
265. #2396C22semidirect
266. #2395C22semidirect
267. #2392C22semidirect
268. #2388C22semidirect
271. #2323C22semidirect
272. #2323C22semidirect
273. #2323C22semidirect
274. #2323C22semidirect
275. #2322C22semidirect
277. #2320C22semidirect
280. #2318C22semidirect
281. #2317C22semidirect
283. #2314C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
290. #2295C22semidirect
292. #2293C22semidirect
294. #2290C22semidirect
296. #2285C22semidirect
298. #2283C22semidirect
299. C4×#117C22semidirect
300. C2×C4×C4⋊C4C22semidirect
463. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35102
C2×#34802
#421742
#421692
#419922
#419852
#414242
#414182
#406072
#406012
#399432
#399412
#384352
#384302
#376212
#375602
#375502
#375462
#373762
#372802
#372772
#372732
#356632
#355222
#352972
#352582
#352472
#352342
#352122
#351292
#351112
#349642
#349112
#340602