Finite Group Databasebeta

← #7648497

Subgroups — #7648497

Order 512.

6806 conjugacy classes of subgroups.

The subgroup lattice has 1957 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3512C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42175C212yesmaximal, complemented
4#42168C212yesmaximal, complemented
5#41991C212yesmaximal, complemented
6#41986C212yesmaximal, complemented
7#41425C212yesmaximal, complemented
8#41419C212yesmaximal, complemented
9#40606C212yesmaximal, complemented
10#40600C212yesmaximal, complemented
11#39942C214yesmaximal, complemented
12#39940C214yesmaximal, complemented
13#38434C214yesmaximal, complemented
14#38430C214yesmaximal, complemented
15#37622C211yesmaximal, characteristic, complemented
16#37559C211yesmaximal, characteristic, complemented
17#37551C211yesmaximal, characteristic, complemented
18#37549C211yesmaximal, characteristic, complemented
19#37378C212yesmaximal, complemented
20#37276C212yesmaximal, complemented
21#37268C212yesmaximal, complemented
22#37268C212yesmaximal, complemented
23#35521C212yesmaximal, complemented
24#35520C212yesmaximal, complemented
25#35310C212yesmaximal, complemented
26#35292C211yesmaximal, characteristic, complemented
27#35261C212yesmaximal, complemented
28#35236C211yesmaximal, characteristic, complemented
29#35234C211yesmaximal, characteristic, complemented
30#35212C211yesmaximal, characteristic, complemented
31#35138C211yesmaximal, characteristic, complemented
32#35102C211yesmaximal, characteristic, complemented
33#34964C211yesmaximal, characteristic, complemented
34#34911C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36#3512—216no—
37#3475—216no—
38C2×#556C2211yescharacteristic
39C2×#555C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×#553C2212yes—
42C2×#553C2212yes—
43C2×#553C2212yes—
44C2×#553C2212yes—
45C2×#553C2212yes—
46C2×#553C2212yescomplemented
47C2×#553C2212yescomplemented
48C2×#552C2212yes—
49C2×#552C2211yescharacteristic
50C2×#552C2211yescharacteristic
51C2×#552C2212yescomplemented
52C2×#552C2212yescomplemented
53C2×#551C2212yes—
54C2×#551C2212yes—
55C2×#547C2211yescharacteristic
56C2×#546C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×#541C2211yescharacteristic
59C2×#541C2211yescharacteristic, complemented
60C2×#540C2211yescharacteristic
61C2×#540C2211yescharacteristic, complemented
62C2×#537C2211yescharacteristic
63C2×#537C2211yescharacteristic
64C2×#533C2211yescharacteristic
65C2×#532C2211yescharacteristic, complemented
66C2×#529C2212yes—
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×#529C2212yes—
72C2×#529C2211yescharacteristic, complemented
73C2×#529C2211yescharacteristic, complemented
74C22×#125C2211yescharacteristic, complemented
75C2×#525C2212yes—
76C2×#520C2211yescharacteristic, complemented
77C2×#520C2211yescharacteristic, complemented
78C2×C4×#41C2211yescharacteristic
79C2×C4×#41C2211yescharacteristic
80C2×C4×#41C2211yescharacteristic
81C22×C4×D4C2211yescharacteristic
82C22×#117C2212yes—
83#2860C2214yescomplemented
84#2857C2212yescomplemented
85#2856C2212yescomplemented
86#2854C2214yescomplemented
87#2851C2212yescomplemented
88#2851C2212yescomplemented
89#2848C2212yes—
90#2848C2212yes—
91#2847C2212yes—
92#2847C2212yes—
93#2822C2212yescomplemented
94#2821C2212yescomplemented
95#2821C2212yescomplemented
96#2820C2212yes—
97#2816C2212yescomplemented
98#2815C2212yes—
99#2814C2212yes—
100#2814C2212yes—
101#2732C2214yescomplemented
102#2732C2214yescomplemented
103#2728C2214yescomplemented
104#2728C2214yescomplemented
105#2726C2214yescomplemented
106#2725C2214yescomplemented
107#2722C2214yescomplemented
108#2715C2214yescomplemented
109#2708C2214yes—
110#2708C2214yes—
111#2707C2214yes—
112#2707C2214yescomplemented
113#2705C2214yescomplemented
114#2704C2214yescomplemented
115#2701C2214yes—
116#2701C2214yes—
117#2695C2214yescomplemented
118#2691C2214yes—
119#2691C2214yescomplemented
120#2688C2214yescomplemented
121#2688C2214yescomplemented
122#2682C2214yes—
123#2681C2214yescomplemented
124#2678C2214yes—
125#2678C2214yes—
126#2676C2214yescomplemented
127#2675C2214yes—
128#2671C2214yescomplemented
129#2671C2214yescomplemented
130#2671C2214yescomplemented
131#2668C2214yes—
132#2668C2214yes—
133#2664C2214yescomplemented
134#2664C2214yescomplemented
135#2664C2212yescomplemented
136#2663C2214yes—
137#2663C2212yescomplemented
138#2662C2212yes—
139#2661C2212yes—
140#2661C2214yescomplemented
141#2638C2212yes—
142#2638C2212yes—
143#2636C2212yes—
144#2636C2212yes—
145#2634C2212yescomplemented
146#2633C2212yes—
147#2633C2212yescomplemented
148#2631C2212yes—
149#2629C2212yescomplemented
150#2629C2212yescomplemented
151#2628C2212yescomplemented
152#2627C2212yescomplemented
153#2625C2212yes—
154#2625C2212yes—
155#2624C2212yes—
156#2624C2212yes—
157#2624C2212yescomplemented
158#2623C2212yes—
159#2621C2212yescomplemented
160#2621C2212yescomplemented
161#2619C2212yescomplemented
162#2618C2212yes—
163#2615C2212yes—
164#2613C2212yes—
165#2611C2214yescomplemented
166#2611C2214yescomplemented
167#2611C2212yescomplemented
168#2610C2212yes—
169#2604C2212yescomplemented
170#2603C2212yes—
171#2603C2214yes—
172#2603C2214yescomplemented
173#2602C2214yescomplemented
174#2602C2214yescomplemented
175#2601C2214yescomplemented
176#2601C2214yescomplemented
177#2598C2212yes—
178#2598C2212yes—
179#2592C2211yescharacteristic, complemented
180#2592C2211yescharacteristic, complemented
181#2592C2211yescharacteristic, complemented
182#2592C2211yescharacteristic, complemented
183#2584C2211yescharacteristic, complemented
184#2584C2211yescharacteristic, complemented
185#2584C2211yescharacteristic, complemented
186#2584C2211yescharacteristic, complemented
187#2582C2212yescomplemented
188#2581C2212yescomplemented
189#2580C2212yescomplemented
190#2580C2212yescomplemented
191#2564C2212yescomplemented
192#2562C2211yescharacteristic
193#2562C2211yescharacteristic
194#2562C2211yescharacteristic
195#2562C2211yescharacteristic
196#2543C2212yes—
197#2540C2211yescharacteristic
198#2540C2211yescharacteristic
199#2540C2211yescharacteristic
200#2540C2211yescharacteristic
201#2538C2212yes—
202#2538C2212yescomplemented
203#2537C2212yes—
204#2536C2212yes—
205#2535C2212yes—
206#2535C2212yes—
207#2498C2212yescomplemented
208#2487C2212yes—
209#2487C2212yescomplemented
210#2487C2212yescomplemented
211#2486C2212yescomplemented
212#2486C2212yescomplemented
213#2484C2212yescomplemented
214#2481C2214yescomplemented
215#2480C2214yes—
216#2480C2214yes—
217#2479C2214yescomplemented
218#2478C2214yes—
219#2478C2214yes—
220#2477C2214yescomplemented
221#2476C2214yes—
222#2476C2214yes—
223#2475C2214yescomplemented
224#2475C2214yescomplemented
225#2475C2214yescomplemented
226#2473C2214yescomplemented
227#2473C2214yescomplemented
228#2473C2214yescomplemented
229#2471C2214yes—
230#2471C2214yescomplemented
231#2471C2214yescomplemented
232#2468C2214yescomplemented
233#2466C2214yescomplemented
234#2464C2214yes—
235#2461C2214yescomplemented
236#2459C2214yescomplemented
237#2457C2214yescomplemented
238#2456C2214yes—
239#2455C2214yescomplemented
240#2449C2214yescomplemented
241#2443C2214yes—
242#2443C2214yescomplemented
243#2443C2214yescomplemented
244#2430C2212yes—
245#2424C2214yes—
246#2424C2214yes—
247#2417C2212yescomplemented
248#2417C2212yescomplemented
249#2416C2212yescomplemented
250#2416C2212yescomplemented
251#2415C2214yes—
252#2415C2212yescomplemented
253#2415C2212yescomplemented
254#2414C2214yescomplemented
255#2414C2212yescomplemented
256#2414C2212yescomplemented
257#2413C2214yescomplemented
258#2411C2214yes—
259#2408C2212yes—
260#2407C2212yescomplemented
261#2407C2212yescomplemented
262#2407C2212yescomplemented
263#2407C2212yescomplemented
264#2406C2212yes—
265#2396C2212yescomplemented
266#2395C2212yescomplemented
267#2392C2212yes—
268#2388C2212yes—
269#2324C2214yes—
270#2324C2214yescomplemented
271#2324C2212yescomplemented
272#2324C2212yescomplemented
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×#121C2214yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
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×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308#556—28no—
309#555—28no—
310#554—28no—
311#553—216no—
312#553—216no—
313#553—216no—
314#553—216no—
315#553—216no—
316#553—216no—
317#553—216no—
318#552—216no—
319#552—216no—
320#552—216no—
321#552—28no—
322#552—28no—
323#551—216no—
324#551—216no—
325#547—28no—
326#546—28no—
327#546—28no—
328#541—28no—
329#541—28no—
330#540—28no—
331#540—28no—
332#537—28no—
333#537—28no—
334#533—28no—
335#532—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×#127C2311yescharacteristic
340#529—216no—
341#529—216no—
342#529—28no—
343#529—28no—
344#529—28no—
345#529—28no—
346#529—28no—
347#529—28no—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#125—28no—
363C2×#125C2311yescharacteristic
364C2×#125C2311yescharacteristic
365C2×#125C2312yes—
366C2×#125C2311yescharacteristic
367C2×#125C2311yescharacteristic
368C2×#125C2311yescharacteristic
369C2×#125C2312yes—
370C2×#125C2311yescharacteristic
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#125C2312yes—
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#124C2311yescharacteristic
379C2×#124C2311yescharacteristic
380C2×#124C2311yescharacteristic
381C2×#124C2311yescharacteristic
382C2×#124C2312yes—
383C2×#124C2312yes—
384#525—216no—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2314yes—
402C2×#123C2314yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×#121C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2311yescharacteristic
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2314yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×#121C2314yes—
453C2×#121C2314yes—
454C2×#120C2312yes—
455C2×#120C2312yes—
456C2×#120C2314yes—
457C2×#120C2314yes—
458#520—28no—
459#520—28no—
460C4×#41—28no—
461C4×#41—28no—
462C4×#41D4116yescomplemented
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2311yescharacteristic
474C2×C4×D4—28no—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2314yes—
504C2×C4×D4C2314yes—
505C2×C4×D4C2311yescharacteristic
506C2×C4×D4C2311yescharacteristic
507C2×C4×D4C2311yescharacteristic
508C2×C4×D4C2311yescharacteristic
509C2×C4×D4C2311yescharacteristic
510C2×C4×D4C2311yescharacteristic
511C2×#117—216no—
512C2×#117C2312yes—
513C2×#117C2312yes—
514C2×#117C2312yes—
515C2×#117C2312yes—
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2312yes—
520C2×#117C2312yes—
521C2×#117C2311yescharacteristic
522C2×#117C2311yescharacteristic
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2312yes—
527C2×#117C2312yes—
528C2×#117C2312yes—
529C2×#117C2312yes—
530C2×#117C2312yes—
531C2×#117C2312yes—
532C2×#117C2311yescharacteristic
533C2×#117C2311yescharacteristic
534C2×#117C2311yescharacteristic
535C22×C4⋊C4C2312yes—
536C22×C4⋊C4C2312yes—
537C22×C4⋊C4C2311yescharacteristic
538C22×C4⋊C4C2312yes—
539C22×C4⋊C4C2312yes—
540C22×C4⋊C4C2311yescharacteristic
541C22×C4⋊C4C2311yescharacteristic
542C22×C4⋊C4C2312yes—
543C22×C4⋊C4C2312yes—
544C22×C4⋊C4C2312yes—
545C22×C22⋊C4C2312yes—
546C22×C22⋊C4C2312yes—
547C22×C22⋊C4C2312yes—
548C22×C42C2312yes—
549C22×C42C2312yes—
550C22×C42C2312yes—
551C22×C42C2311yescharacteristic
552C22×C42C2311yescharacteristic
553C22×C42C2311yescharacteristic
554#400C2312yes—
555#400C2312yes—
556#400C2312yes—
557#400C2312yes—
558#400C2314yes—
559#400C2314yes—
560#400C2314yes—
561#400C2314yes—
562#400C2314yes—
563#399C2312yes—
564#399C2312yes—
565#399C2314yes—
566#399C2314yes—
567#399C2314yes—
568#399C2312yes—
569#399C2312yes—
570#399C2314yes—
571#399C2314yes—
572#398C2314yes—
573#398C2312yes—
574#398C2312yes—
575#398C2314yes—
576#398C2312yes—
577#398C2314yes—
578#398C2314yes—
579#398C2314yes—
580#398C2314yes—
581#398C2314yes—
582#398C2312yes—
583#398C2314yes—
584#398C2314yes—
585#398C2314yes—
586#398C2314yes—
587#398C2314yes—
588#398C2314yes—
589#398C2314yes—
590#398C2314yes—
591#397C2314yes—
592#397C2312yes—
593#397C2312yes—
594#397C2314yes—
595#397C2312yes—
596#397C2312yes—
597#397C2314yes—
598#397C2314yes—
599#397C2314yes—
600#397C2314yes—
601#397C2314yes—
602#397C2314yes—
603#397C2314yes—
604#397C2314yes—
605#397C2314yes—
606#397C2314yes—
607#397C2314yes—
608#396C2314yes—
609#396C2314yes—
610#396C2314yes—
611#396C2314yes—
612#396C2314yes—
613#396C2314yes—
614#396C2314yes—
615#396C2314yes—
616#396C2314yes—
617#396C2314yes—
618#396C2314yes—
619#396C2314yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2314yes—
624#395C2312yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#393C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2314yes—
652#393C2312yes—
653#392C2312yes—
654#392C2312yes—
655#392C2314yes—
656#392C2314yes—
657#392C2314yes—
658#392C2312yes—
659#392C2314yes—
660#392C2314yes—
661#392C2314yes—
662#392C2314yes—
663#392C2312yes—
664#392C2314yes—
665#392C2314yes—
666#391C2314yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2314yes—
672#390C2314yes—
673#390C2314yes—
674#390C2314yes—
675#390C2314yes—
676#390C2314yes—
677#390C2314yes—
678#390C2312yes—
679#390C2312yes—
680#390C2314yes—
681#390C2314yes—
682#390C2314yes—
683#390C2312yes—
684#390C2314yes—
685#390C2312yes—
686#390C2314yes—
687#390C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2314yes—
692#389C2312yes—
693#389C2312yes—
694#389C2314yes—
695#389C2314yes—
696#389C2314yes—
697#389C2312yes—
698#389C2312yes—
699#389C2314yes—
700#389C2312yes—
701#389C2314yes—
702#389C2312yes—
703#389C2312yes—
704#389C2314yes—
705#389C2314yes—
706#389C2314yes—
707#389C2312yes—
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#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#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—24no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41C2×D418yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×D4—24no—
875C22×D4—44no—
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2411yescharacteristic
898C22×D4C2411yescharacteristic
899C22×D4C2411yescharacteristic
900C23×C4—28no—
901C23×C4—44no—
902C23×C4—44no—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
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—24no—
931C4⋊Q8—24no—
932C4⋊Q8—24no—
933#127—24no—
934#126—28no—
935#126—28no—
936#126—28no—
937#126—28no—
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#125—28no—
949#125—28no—
950#125—28no—
951#125—28no—
952#125—28no—
953#125—28no—
954#125—24no—
955#125—24no—
956#125—24no—
957#125—24no—
958#125—28no—
959#125—28no—
960#125—24no—
961#125—24no—
962#125—28no—
963#124—28no—
964#124—28no—
965#124—24no—
966#124—24no—
967#124—24no—
968#124—24no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—48no—
986#123—84no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—24no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—24no—
996C22⋊Q8—24no—
997C22⋊Q8—24no—
998C22⋊Q8—24no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—28no—
1002C22⋊Q8—44no—
1003C22⋊Q8—44no—
1004C22⋊Q8—44no—
1005C22⋊Q8—44no—
1006C22⋊Q8—84no—
1007#121—28no—
1008#121—28no—
1009#121—28no—
1010#121—28no—
1011#121—28no—
1012#121—28no—
1013#121—28no—
1014#121—28no—
1015#121—24no—
1016#121—24no—
1017#121—24no—
1018#121—24no—
1019#121—24no—
1020#121—24no—
1021#121—28no—
1022#121—28no—
1023#121—28no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—48no—
1030#121—48no—
1031#121—44no—
1032#121—44no—
1033#121—44no—
1034#121—44no—
1035#121—48no—
1036#121—84no—
1037#121—84no—
1038#120—28no—
1039#120—28no—
1040#120—48no—
1041#120—84no—
1042C4×Q8—24no—
1043C4×Q8—24no—
1044C4×Q8—24no—
1045C4×Q8—24no—
1046C4×Q8—24no—
1047C4×Q8—24no—
1048C4×Q8—24no—
1049C4×Q8—24no—
1050C4×Q8—28no—
1051C4×Q8C2×D418yes—
1052C4×Q8C2×D418yes—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—24no—
1069C4×D4—28no—
1070C4×D4—24no—
1071C4×D4—28no—
1072C4×D4—24no—
1073C4×D4—24no—
1074C4×D4—24no—
1075C4×D4—24no—
1076C4×D4—24no—
1077C4×D4—24no—
1078C4×D4—24no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—48no—
1082C4×D4—84no—
1083C4×D4C2×D418yes—
1084C4×D4C2×D418yes—
1085C4×D4C2×D418yes—
1086C4×D4C2×D418yes—
1087C4×D4C2×D418yes—
1088C4×D4C2×D418yes—
1089#117—28no—
1090#117—24no—
1091#117—24no—
1092#117—28no—
1093#117—28no—
1094#117—28no—
1095#117—28no—
1096#117—28no—
1097#117—28no—
1098#117—28no—
1099#117—28no—
1100#117—28no—
1101#117—28no—
1102#117—28no—
1103#117—28no—
1104#117—28no—
1105#117—28no—
1106#117—44no—
1107#117—82no—
1108#117—82no—
1109#117C2×D418yes—
1110#117C2×D418yes—
1111#117C2×D418yes—
1112C2×C4⋊C4—24no—
1113C2×C4⋊C4—24no—
1114C2×C4⋊C4—24no—
1115C2×C4⋊C4—28no—
1116C2×C4⋊C4—28no—
1117C2×C4⋊C4—28no—
1118C2×C4⋊C4—28no—
1119C2×C4⋊C4—28no—
1120C2×C4⋊C4—28no—
1121C2×C4⋊C4—44no—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2411yescharacteristic
1188C2×C4⋊C4C2411yescharacteristic
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C4⋊C4C2411yescharacteristic
1191C2×C4⋊C4C2411yescharacteristic
1192C2×C4⋊C4C2411yescharacteristic
1193C2×C22⋊C4—28no—
1194C2×C22⋊C4—28no—
1195C2×C22⋊C4—28no—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2411yescharacteristic
1260C2×C22⋊C4C2411yescharacteristic
1261C2×C22⋊C4C2411yescharacteristic
1262C2×C22⋊C4C2411yescharacteristic
1263C2×C22⋊C4C2411yescharacteristic
1264C2×C22⋊C4C2411yescharacteristic
1265C2×C42—28no—
1266C2×C42—28no—
1267C2×C42—82no—
1268C2×C42C2×D418yes—
1269C2×C42C2×D418yes—
1270C2×C42C2×D418yes—
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—24no—
1338C24—42no—
1339C24—42no—
1340C24—42no—
1341C24—42no—
1342C24—42no—
1343C24C2512yes—
1344C24C2512yes—
1345C24C2512yes—
1346C24C2511yescharacteristic
1347C24C2511yescharacteristic
1348C24C2511yescharacteristic
1349C24C2512yes—
1350#41—416no—
1351#41—416no—
1352#41—416no—
1353#41—416no—
1354#41—416no—
1355C2×Q8—22no—
1356C2×Q8—22no—
1357C2×Q8—22no—
1358C2×Q8—22no—
1359C2×Q8—24no—
1360C2×Q8—24no—
1361C2×Q8—24no—
1362C2×Q8—42no—
1363C2×Q8—42no—
1364C2×Q8—42no—
1365C2×Q8—42no—
1366C2×Q8—42no—
1367C2×Q8C22×D414yes—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—28no—
1383C2×D4—28no—
1384C2×D4—22no—
1385C2×D4—24no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—42no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—416no—
1426C2×D4C22×D414yes—
1427C2×D4C22×D414yes—
1428C2×D4C22×D414yes—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—41no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—41no—
1465C22×C4—41no—
1466C22×C4—41no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—42no—
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—432no—
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—24no—
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—24no—
1540C4⋊C4—24no—
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—22no—
1544C4⋊C4—22no—
1545C4⋊C4—22no—
1546C4⋊C4—22no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—22no—
1556C4⋊C4—22no—
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—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
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⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—44no—
1592C4⋊C4—44no—
1593C4⋊C4C22×D414yes—
1594C4⋊C4C22×D414yes—
1595C4⋊C4C22×D414yes—
1596C4⋊C4C22×D414yes—
1597C4⋊C4C22×D414yes—
1598C4⋊C4C22×D414yes—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—28no—
1610C22⋊C4—28no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4C22×D414yes—
1663C22⋊C4C22×D414yes—
1664C22⋊C4C22×D414yes—
1665C22⋊C4C22×D414yes—
1666C22⋊C4C22×D414yes—
1667C22⋊C4C22×D414yes—
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—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—21no—
1706C23—21no—
1707C23—22no—
1708C23—21no—
1709C23—22no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—24no—
1718C23—24no—
1719C23—24no—
1720C23—24no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—48no—
1731C23—48no—
1732C23—84no—
1733C23—84no—
1734C23—84no—
1735C23—84no—
1736C23—84no—
1737C23C23×D412yes—
1738C23C23×D412yes—
1739C23C23×D412yes—
1740C23#58514yes—
1741C23C2611yescharacteristic
1742Q8—44no—
1743Q8—44no—
1744Q8—44no—
1745Q8—44no—
1746Q8—44no—
1747Q8—84no—
1748D4—28no—
1749D4—44no—
1750D4—44no—
1751D4—44no—
1752D4—48no—
1753D4—44no—
1754D4—48no—
1755D4—48no—
1756D4—48no—
1757D4—48no—
1758D4—44no—
1759D4—44no—
1760D4—84no—
1761D4—84no—
1762D4—84no—
1763D4—84no—
1764D4—84no—
1765D4—84no—
1766D4—84no—
1767D4—84no—
1768D4—88no—
1769D4—88no—
1770D4—164no—
1771D4—164no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—28no—
1788C2×C4—28no—
1789C2×C4—28no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—24no—
1803C2×C4—24no—
1804C2×C4—24no—
1805C2×C4—24no—
1806C2×C4—24no—
1807C2×C4—24no—
1808C2×C4—24no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—24no—
1818C2×C4—24no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—24no—
1823C2×C4—24no—
1824C2×C4—24no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—24no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—48no—
1841C2×C4—48no—
1842C2×C4—48no—
1843C2×C4—48no—
1844C2×C4—48no—
1845C2×C4—48no—
1846C2×C4—48no—
1847C2×C4—48no—
1848C2×C4—48no—
1849C2×C4—84no—
1850C2×C4—84no—
1851C2×C4—84no—
1852C2×C4—84no—
1853C2×C4—84no—
1854C2×C4—84no—
1855C2×C4—84no—
1856C2×C4—84no—
1857C2×C4—88no—
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×C4C23×D412yes—
1869C2×C4C23×D412yes—
1870C2×C4#58514yes—
1871C22—24no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—22no—
1878C22—22no—
1879C22—22no—
1880C22—22no—
1881C22—24no—
1882C22—24no—
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—42no—
1897C22—42no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—44no—
1903C22—44no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—44no—
1908C22—44no—
1909C22—42no—
1910C22—816no—
1911C22C24×D411yescharacteristic
1912C22C2×#58512yes—
1913C22C2×#58512yes—
1914C22H(7,𝔽2)11yescharacteristic
1915C222−1+611yescharacteristic
1916C4—22no—
1917C4—22no—
1918C4—22no—
1919C4—22no—
1920C4—22no—
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—42no—
1928C4—42no—
1929C4—42no—
1930C4—42no—
1931C4—42no—
1932C4—42no—
1933C4—42no—
1934C4—42no—
1935C4—42no—
1936C4—42no—
1937C4—42no—
1938C4—42no—
1939C4—44no—
1940C4—44no—
1941C4—44no—
1942C4—44no—
1943C4#344914yes—
1944C2—42no—
1945C2—42no—
1946C2—44no—
1947C2—42no—
1948C2—82no—
1949C2—82no—
1950C2—82no—
1951C2C2×#344911yescharacteristic
1952C2#6281111yescharacteristic
1953C2#6285311yescharacteristic
1954C2#6294112yes—
1955C2#6297112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3512C2semidirect
2. C2×#3475C2semidirect
3. #42175C2semidirect
4. #42168C2semidirect
5. #41991C2semidirect
6. #41986C2semidirect
7. #41425C2semidirect
8. #41419C2semidirect
9. #40606C2semidirect
10. #40600C2semidirect
11. #39942C2semidirect
12. #39940C2semidirect
13. #38434C2semidirect
14. #38430C2semidirect
15. #37622C2semidirect
16. #37559C2semidirect
17. #37551C2semidirect
18. #37549C2semidirect
19. #37378C2semidirect
20. #37276C2semidirect
21. #37268C2semidirect
22. #37268C2semidirect
23. #35521C2semidirect
24. #35520C2semidirect
25. #35310C2semidirect
26. #35292C2semidirect
27. #35261C2semidirect
28. #35236C2semidirect
29. #35234C2semidirect
30. #35212C2semidirect
31. #35138C2semidirect
32. #35102C2semidirect
33. #34964C2semidirect
34. #34911C2semidirect
35. #34060C2semidirect
46. C2×#553C22semidirect
47. C2×#553C22semidirect
51. C2×#552C22semidirect
52. C2×#552C22semidirect
59. C2×#541C22semidirect
61. C2×#540C22semidirect
65. C2×#532C22semidirect
72. C2×#529C22semidirect
73. C2×#529C22semidirect
74. C22×#125C22semidirect
76. C2×#520C22semidirect
77. C2×#520C22semidirect
83. #2860C22semidirect
84. #2857C22semidirect
85. #2856C22semidirect
86. #2854C22semidirect
87. #2851C22semidirect
88. #2851C22semidirect
93. #2822C22semidirect
94. #2821C22semidirect
95. #2821C22semidirect
97. #2816C22semidirect
101. #2732C22semidirect
102. #2732C22semidirect
103. #2728C22semidirect
104. #2728C22semidirect
105. #2726C22semidirect
106. #2725C22semidirect
107. #2722C22semidirect
108. #2715C22semidirect
112. #2707C22semidirect
113. #2705C22semidirect
114. #2704C22semidirect
117. #2695C22semidirect
119. #2691C22semidirect
120. #2688C22semidirect
121. #2688C22semidirect
123. #2681C22semidirect
126. #2676C22semidirect
128. #2671C22semidirect
129. #2671C22semidirect
130. #2671C22semidirect
133. #2664C22semidirect
134. #2664C22semidirect
135. #2664C22semidirect
137. #2663C22semidirect
140. #2661C22semidirect
145. #2634C22semidirect
147. #2633C22semidirect
149. #2629C22semidirect
150. #2629C22semidirect
151. #2628C22semidirect
152. #2627C22semidirect
157. #2624C22semidirect
159. #2621C22semidirect
160. #2621C22semidirect
161. #2619C22semidirect
165. #2611C22semidirect
166. #2611C22semidirect
167. #2611C22semidirect
169. #2604C22semidirect
172. #2603C22semidirect
173. #2602C22semidirect
174. #2602C22semidirect
175. #2601C22semidirect
176. #2601C22semidirect
179. #2592C22semidirect
180. #2592C22semidirect
181. #2592C22semidirect
182. #2592C22semidirect
183. #2584C22semidirect
184. #2584C22semidirect
185. #2584C22semidirect
186. #2584C22semidirect
187. #2582C22semidirect
188. #2581C22semidirect
189. #2580C22semidirect
190. #2580C22semidirect
191. #2564C22semidirect
202. #2538C22semidirect
207. #2498C22semidirect
209. #2487C22semidirect
210. #2487C22semidirect
211. #2486C22semidirect
212. #2486C22semidirect
213. #2484C22semidirect
214. #2481C22semidirect
217. #2479C22semidirect
220. #2477C22semidirect
223. #2475C22semidirect
224. #2475C22semidirect
225. #2475C22semidirect
226. #2473C22semidirect
227. #2473C22semidirect
228. #2473C22semidirect
230. #2471C22semidirect
231. #2471C22semidirect
232. #2468C22semidirect
233. #2466C22semidirect
235. #2461C22semidirect
236. #2459C22semidirect
237. #2457C22semidirect
239. #2455C22semidirect
240. #2449C22semidirect
242. #2443C22semidirect
243. #2443C22semidirect
247. #2417C22semidirect
248. #2417C22semidirect
249. #2416C22semidirect
250. #2416C22semidirect
252. #2415C22semidirect
253. #2415C22semidirect
254. #2414C22semidirect
255. #2414C22semidirect
256. #2414C22semidirect
257. #2413C22semidirect
260. #2407C22semidirect
261. #2407C22semidirect
262. #2407C22semidirect
263. #2407C22semidirect
265. #2396C22semidirect
266. #2395C22semidirect
270. #2324C22semidirect
271. #2324C22semidirect
272. #2324C22semidirect
273. #2323C22semidirect
274. #2323C22semidirect
275. #2322C22semidirect
277. #2320C22semidirect
280. #2318C22semidirect
281. #2317C22semidirect
283. #2314C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. #2295C22semidirect
292. #2293C22semidirect
294. #2290C22semidirect
296. #2285C22semidirect
298. #2283C22semidirect
299. C4×#117C22semidirect
300. C2×C4×C4⋊C4C22semidirect
462. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35122
C2×#34752
#421752
#421682
#419912
#419862
#414252
#414192
#406062
#406002
#399422
#399402
#384342
#384302
#376222
#375592
#375512
#375492
#373782
#372762
#372682
#355212
#355202
#353102
#352922
#352612
#352362
#352342
#352122
#351382
#351022
#349642
#349112
#340602