Finite Group Databasebeta

← #7882982

Subgroups — #7882982

Order 512.

7342 conjugacy classes of subgroups.

The subgroup lattice has 1947 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3518C211yesmaximal, characteristic, complemented
2C2×#3519C211yesmaximal, characteristic, complemented
3#59655C211yesmaximal, characteristic, complemented
4#59084C211yesmaximal, characteristic, complemented
5#59052C211yesmaximal, characteristic, complemented
6#59030C212yesmaximal, complemented
7#58996C212yesmaximal, complemented
8#51415C214yesmaximal, complemented
9#50863C214yesmaximal, complemented
10#47679C214yesmaximal, complemented
11#45134C212yesmaximal, complemented
12#45108C212yesmaximal, complemented
13#45084C214yesmaximal, complemented
14#44929C212yesmaximal, complemented
15#44888C212yesmaximal, complemented
16#42928C212yesmaximal, complemented
17#42928C212yesmaximal, complemented
18#39866C212yesmaximal, complemented
19#39863C212yesmaximal, complemented
20#39363C211yesmaximal, characteristic, complemented
21#38957C211yesmaximal, characteristic, complemented
22#38923C211yesmaximal, characteristic, complemented
23#38909C211yesmaximal, characteristic, complemented
24#37798C212yesmaximal, complemented
25#37664C212yesmaximal, complemented
26#36258C211yesmaximal, characteristic, complemented
27#36150C211yesmaximal, characteristic, complemented
28D4×C22⋊Q8C211yesmaximal, characteristic, complemented
29#36075C212yesmaximal, complemented
30#35985C212yesmaximal, complemented
31#35661C212yesmaximal, complemented
32#35515C212yesmaximal, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34700C211yesmaximal, characteristic, complemented
35#34485C211yesmaximal, characteristic, complemented
36#3519—216no—
37#3518—216no—
38C2×Q82C2211yescharacteristic, complemented
39C2×#556C2211yescharacteristic, complemented
40C2×#556C2214yescomplemented
41C2×#556C2212yescomplemented
42C2×#556C2212yescomplemented
43C2×#555C2211yescharacteristic
44C2×#555C2212yescomplemented
45C2×#554C2211yescharacteristic
46C2×#553C2212yes—
47C2×#553C2212yes—
48C2×#550C2211yescharacteristic
49C2×D4×Q8C2211yescharacteristic, complemented
50C2×#548C2212yescomplemented
51C2×#546C2214yes—
52C2×#546C2212yes—
53C2×#546C2212yescomplemented
54C2×D42C2211yescharacteristic
55C2×D42C2212yes—
56C2×#542C2212yescomplemented
57C2×#542C2214yescomplemented
58C2×#540C2212yes—
59C2×#538C2214yes—
60C2×#536C2212yescomplemented
61C2×#533C2211yescharacteristic, complemented
62C2×#533C2212yescomplemented
63C2×#532C2211yescharacteristic
64C2×#529C2211yescharacteristic
65C2×#529C2211yescharacteristic, complemented
66C2×#529C2212yescomplemented
67C2×#525C2212yes—
68C22×C22⋊Q8C2212yescomplemented
69C22×#121C2212yes—
70C2×#519C2212yescomplemented
71C2×#518C2212yes—
72C2×C4×#41C2211yescharacteristic, complemented
73C22×C4×D4C2211yescharacteristic
74#2858C2211yescharacteristic, complemented
75#2857C2211yescharacteristic, complemented
76#2856C2211yescharacteristic, complemented
77#2854C2212yescomplemented
78#2848C2212yescomplemented
79#2823C2214yescomplemented
80#2732C2214yescomplemented
81#2731C2214yescomplemented
82#2729C2214yescomplemented
83#2722C2214yescomplemented
84#2718C2214yescomplemented
85#2710C2214yescomplemented
86#2708C2214yescomplemented
87#2701C2214yescomplemented
88#2695C2214yescomplemented
89#2695C2214yescomplemented
90#2695C2214yescomplemented
91#2691C2214yescomplemented
92#2691C2214yescomplemented
93#2691C2214yescomplemented
94#2687C2214yescomplemented
95#2686C2214yescomplemented
96#2685C2214yescomplemented
97#2685C2214yescomplemented
98#2685C2214yescomplemented
99#2684C2214yescomplemented
100#2681C2214yescomplemented
101#2681C2214yescomplemented
102#2681C2214yescomplemented
103#2680C2214yescomplemented
104#2678C2214yescomplemented
105#2676C2214yescomplemented
106#2676C2214yescomplemented
107#2672C2214yescomplemented
108#2672C2214yescomplemented
109#2672C2214yescomplemented
110#2671C2214yescomplemented
111#2671C2214yescomplemented
112#2670C2214yescomplemented
113#2637C2214yescomplemented
114#2637C2214yescomplemented
115#2636C2214yescomplemented
116#2636C2214yescomplemented
117#2625C2212yescomplemented
118#2624C2212yescomplemented
119#2620C2212yescomplemented
120#2620C2212yescomplemented
121#2604C2214yescomplemented
122#2603C2214yescomplemented
123#2582C2211yescharacteristic, complemented
124#2580C2214yescomplemented
125#2580C2214yescomplemented
126#2552C2212yescomplemented
127#2550C2212yescomplemented
128#2548C2211yescharacteristic, complemented
129#2548C2211yescharacteristic, complemented
130#2547C2212yescomplemented
131#2546C2211yescharacteristic, complemented
132#2544C2212yescomplemented
133#2542C2211yescharacteristic
134#2542C2212yescomplemented
135#2540C2212yescomplemented
136#2538C2211yescharacteristic
137#2538C2214yescomplemented
138#2538C2214yescomplemented
139#2538C2214yescomplemented
140#2536C2214yescomplemented
141#2536C2214yescomplemented
142#2534C2214yescomplemented
143#2500C2212yescomplemented
144#2492C2212yescomplemented
145#2491C2212yescomplemented
146#2491C2212yescomplemented
147#2490C2212yescomplemented
148#2485C2212yescomplemented
149#2480C2212yescomplemented
150#2480C2214yescomplemented
151#2480C2214yescomplemented
152#2478C2212yescomplemented
153#2476C2214yescomplemented
154#2476C2214yescomplemented
155#2472C2214yescomplemented
156#2472C2214yescomplemented
157#2470C2212yescomplemented
158#2470C2214yescomplemented
159#2470C2214yescomplemented
160#2468C2212yescomplemented
161#2466C2212yescomplemented
162#2457C2212yescomplemented
163#2455C2212yescomplemented
164#2454C2211yescharacteristic
165#2454C2212yes—
166#2454C2212yescomplemented
167#2454C2212yescomplemented
168#2453C2212yescomplemented
169#2453C2212yescomplemented
170#2453C2211yescharacteristic, complemented
171#2452C2212yes—
172#2452C2212yes—
173#2452C2212yescomplemented
174#2452C2212yescomplemented
175#2452C2212yescomplemented
176#2452C2212yescomplemented
177#2449C2214yescomplemented
178#2448C2212yescomplemented
179#2447C2211yescharacteristic, complemented
180#2447C2211yescharacteristic, complemented
181#2445C2212yescomplemented
182#2445C2212yescomplemented
183#2443C2214yescomplemented
184#2442C2211yescharacteristic, complemented
185#2441C2212yescomplemented
186#2441C2211yescharacteristic, complemented
187#2440C2212yescomplemented
188#2440C2212yescomplemented
189#2437C2214yescomplemented
190#2437C2214yescomplemented
191#2437C2214yescomplemented
192#2437C2214yescomplemented
193#2437C2214yescomplemented
194#2436C2212yescomplemented
195#2435C2212yes—
196#2435C2211yescharacteristic
197#2435C2214yescomplemented
198#2435C2212yescomplemented
199#2435C2212yescomplemented
200#2432C2214yescomplemented
201#2432C2212yescomplemented
202#2432C2211yescharacteristic, complemented
203#2429C2214yescomplemented
204#2429C2212yescomplemented
205#2429C2212yescomplemented
206#2429C2212yescomplemented
207#2429C2211yescharacteristic, complemented
208#2428C2212yescomplemented
209#2427C2212yes—
210#2427C2211yescharacteristic
211#2427C2214yescomplemented
212#2427C2212yescomplemented
213#2427C2212yescomplemented
214#2426C2212yescomplemented
215#2426C2212yescomplemented
216#2426C2212yescomplemented
217#2426C2212yescomplemented
218#2426C2212yescomplemented
219#2426C2212yescomplemented
220#2426C2212yescomplemented
221#2424C2214yescomplemented
222#2423C2214yescomplemented
223#2422C2211yescharacteristic
224#2422C2214yescomplemented
225#2420C2211yescharacteristic, complemented
226#2418C2214yescomplemented
227#2418C2212yescomplemented
228#2417C2212yescomplemented
229#2417C2212yescomplemented
230#2417C2212yescomplemented
231#2417C2211yescharacteristic, complemented
232#2416C2214yescomplemented
233#2416C2212yescomplemented
234#2416C2212yescomplemented
235#2415C2211yescharacteristic, complemented
236#2414C2212yescomplemented
237#2414C2212yescomplemented
238#2413C2214yescomplemented
239#2413C2214yescomplemented
240#2411C2214yescomplemented
241#2411C2214yescomplemented
242#2411C2214yescomplemented
243#2410C2214yescomplemented
244#2409C2212yescomplemented
245#2408C2211yescharacteristic
246#2408C2212yes—
247#2407C2211yescharacteristic
248#2407C2212yescomplemented
249#2407C2212yescomplemented
250#2405C2214yescomplemented
251#2398C2214yescomplemented
252#2395C2212yescomplemented
253#2395C2212yescomplemented
254#2392C2212yescomplemented
255#2392C2212yescomplemented
256#2379C2214yescomplemented
257#2369C2211yescharacteristic, complemented
258#2367C2212yes—
259#2367C2212yescomplemented
260#2367C2212yescomplemented
261#2367C2212yescomplemented
262#2363C2212yes—
263#2363C2212yescomplemented
264#2361C2212yescomplemented
265#2361C2212yescomplemented
266#2360C2212yescomplemented
267#2360C2212yescomplemented
268D4×C4⋊C4C2211yescharacteristic, complemented
269D4×C4⋊C4C2212yescomplemented
270D4×C4⋊C4C2211yescharacteristic, complemented
271#2346C2212yescomplemented
272#2346C2212yescomplemented
273#2341C2212yescomplemented
274D4×C22⋊C4C2212yes—
275D4×C22⋊C4C2214yescomplemented
276D4×C22⋊C4C2212yescomplemented
277#2326C2214yescomplemented
278#2326C2214yescomplemented
279#2324C2212yescomplemented
280#2324C2212yescomplemented
281#2317C2212yescomplemented
282#2317C2212yescomplemented
283#2316C2212yescomplemented
284#2311C2212yescomplemented
285#2309C2212yes—
286C4×C4⋊Q8C2211yescharacteristic, complemented
287C4×C4⋊Q8C2211yescharacteristic, complemented
288C4×#124C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×C22⋊Q8C2211yescharacteristic, complemented
291C4×C22⋊Q8C2211yescharacteristic, complemented
292C4×#123C2212yescomplemented
293C4×#121C2211yescharacteristic
294C4×#120C2212yescomplemented
295#2296C2212yescomplemented
296#2293C2211yescharacteristic, complemented
297#2293C2211yescharacteristic, complemented
298C2×#390C2212yes—
299#2280C2212yescomplemented
300C42×D4C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×Q8C2312yes—
305C23×D4C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2314yes—
309C24×C4C2312yes—
310Q82—28no—
311#556—232no—
312#556—28no—
313#556—216no—
314#556—216no—
315#555—216no—
316#555D4116yescomplemented
317#554—28no—
318#553—216no—
319#553—216no—
320#550—28no—
321D4×Q8—28no—
322#548—216no—
323#546—232no—
324#546—216no—
325#546—48no—
326D42—216no—
327D42—28no—
328#542—232no—
329#542—216no—
330#540—216no—
331#538—232no—
332#536—48no—
333#533—28no—
334#533—216no—
335#532—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×#127C2311yescharacteristic
345C2×#127C2312yes—
346#529—216no—
347#529—28no—
348#529—28no—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2312yes—
352C2×#126C2314yes—
353C2×#126C2312yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#125C2311yescharacteristic
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#124C2311yescharacteristic
361C2×#124C2312yes—
362C2×#124C2314yes—
363C2×#124C2311yescharacteristic
364C2×#124C2311yescharacteristic
365C2×#124C2314yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2314yes—
374#525—216no—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2312yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×C22⋊Q8—48no—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×#121—216no—
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2312yes—
414C2×#121C2311yescharacteristic
415C2×#121C2311yescharacteristic
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435C2×#120C2312yes—
436C2×#120C2314yes—
437#519—216no—
438#518—216no—
439C4×#41—28no—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2314yes—
443C2×C4×Q8C2314yes—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2314yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×D4—28no—
454C2×C4×D4C2314yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2314yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2314yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2311yescharacteristic
488C2×#117C2314yes—
489C2×#117C2314yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2311yescharacteristic
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2314yes—
499C22×C22⋊C4C2312yes—
500C22×C22⋊C4C2314yes—
501C22×C22⋊C4C2314yes—
502C22×C22⋊C4C2314yes—
503C22×C22⋊C4C2314yes—
504C22×C22⋊C4C2314yes—
505C22×C42C2312yes—
506C22×C42C2311yescharacteristic
507C22×C42C2311yescharacteristic
508#400C2312yes—
509#400C2314yes—
510#400C2314yes—
511#400C2312yes—
512#399C2312yes—
513#399C2314yes—
514#399C2314yes—
515#399C2314yes—
516#399C2312yes—
517#399C2314yes—
518#399C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2314yes—
528#398C2312yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#397C2312yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2312yes—
538#397C2312yes—
539#397C2312yes—
540#397C2312yes—
541#397C2312yes—
542#397C2312yes—
543#397C2312yes—
544#397C2314yes—
545#396C2312yes—
546#396C2312yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2312yes—
558#396C2312yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#395C2314yes—
565#395C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2312yes—
577#394C2312yes—
578#394C2314yes—
579#394C2314yes—
580#394C2312yes—
581#394C2312yes—
582#394C2312yes—
583#394C2312yes—
584#394C2312yes—
585#394C2312yes—
586#394C2312yes—
587#394C2312yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#393C2314yes—
600#393C2314yes—
601#393C2314yes—
602#393C2314yes—
603#393C2314yes—
604#393C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2312yes—
608#392C2312yes—
609#392C2314yes—
610#391C2311yescharacteristic
611#391C2312yes—
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2312yes—
615#391C2314yes—
616#391C2314yes—
617#391C2312yes—
618#391C2312yes—
619#391C2312yes—
620#391C2311yescharacteristic
621#391C2311yescharacteristic
622#391C2311yescharacteristic
623#390C2311yescharacteristic
624#390C2314yes—
625#390C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2314yes—
632#390C2311yescharacteristic
633#390C2311yescharacteristic
634#390C2314yes—
635#390C2314yes—
636#390C2314yes—
637#390C2312yes—
638#390C2312yes—
639#390C2314yes—
640#390C2312yes—
641#390C2312yes—
642#390C2314yes—
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2314yes—
648#390C2314yes—
649#390C2311yescharacteristic
650#390C2311yescharacteristic
651#390C2312yes—
652#390C2312yes—
653#390C2311yescharacteristic
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2311yescharacteristic
659#389C2314yes—
660#389C2314yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2311yescharacteristic
674#389C2312yes—
675#389C2312yes—
676#389C2311yescharacteristic
677#389C2311yescharacteristic
678#389C2314yes—
679#389C2314yes—
680#389C2311yescharacteristic
681#389C2312yes—
682#389C2312yes—
683#389C2314yes—
684#389C2314yes—
685#389C2311yescharacteristic
686#389C2312yes—
687#388C2314yes—
688#388C2314yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
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#388C2314yes—
707#388C2314yes—
708#388C2312yes—
709#388C2312yes—
710#388C2314yes—
711#388C2312yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#387C2312yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2312yes—
720#387C2312yes—
721#387C2312yes—
722#387C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2312yes—
740#386C2314yes—
741#386C2312yes—
742#386C2312yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2312yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2312yes—
765#385C2312yes—
766#385C2312yes—
767#385C2312yes—
768#385C2312yes—
769#385C2312yes—
770#385C2312yes—
771#385C2312yes—
772#385C2312yes—
773#384C2311yescharacteristic
774#384C2311yescharacteristic
775#384C2314yes—
776#384C2314yes—
777#384C2312yes—
778#382C2314yes—
779#382C2314yes—
780#382C2311yescharacteristic
781#381C2312yes—
782#381C2312yes—
783#381C2312yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#380C2312yes—
789#380C2312yes—
790#380C2311yescharacteristic
791#380C2312yes—
792#380C2312yes—
793#380C2314yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2311yescharacteristic
798#380C2311yescharacteristic
799#380C2311yescharacteristic
800#380C2312yes—
801#380C2314yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#379C2314yes—
806#379C2314yes—
807#379C2314yes—
808#379C2312yes—
809#379C2314yes—
810#379C2314yes—
811#379C2312yes—
812#379C2314yes—
813#379C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2311yescharacteristic
846#376C2314yes—
847C43C2311yescharacteristic
848C25C2412yes—
849C25C2414yes—
850C2×#41—28no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—44no—
855C2×#41—42no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—82no—
859C22×Q8—28no—
860C22×Q8—28no—
861C22×Q8—44no—
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2414yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2414yes—
868C22×Q8C2412yes—
869C22×D4—24no—
870C22×D4—28no—
871C22×D4—24no—
872C22×D4—28no—
873C22×D4—216no—
874C22×D4—28no—
875C22×D4—44no—
876C22×D4—42no—
877C22×D4—44no—
878C22×D4—44no—
879C22×D4—48no—
880C22×D4—84no—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C23×C4—28no—
901C23×C4—44no—
902C23×C4—44no—
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2414yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2414yes—
922C23×C4C2414yes—
923C4⋊Q8—216no—
924C4⋊Q8—24no—
925C4⋊Q8—28no—
926C4⋊Q8—28no—
927C4⋊Q8—28no—
928C4⋊Q8—24no—
929C4⋊Q8—44no—
930C4⋊Q8C2×D418yes—
931#127—28no—
932#127—24no—
933#126—28no—
934#126—28no—
935#126—216no—
936#126—216no—
937#126—216no—
938#126—216no—
939#126—216no—
940#125—28no—
941#125—24no—
942#125—24no—
943#125—28no—
944#124—28no—
945#124—28no—
946#124—24no—
947#124—24no—
948#124—28no—
949#124—216no—
950#124—24no—
951#124—216no—
952#124—216no—
953#124—44no—
954#124—44no—
955#124—44no—
956#124—48no—
957#124C2×D4132yes—
958#123—216no—
959#123—216no—
960#123—28no—
961#123—28no—
962#123—216no—
963#123—216no—
964#123—44no—
965#123—48no—
966#123—48no—
967#123—48no—
968C22⋊Q8—28no—
969C22⋊Q8—216no—
970C22⋊Q8—24no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—24no—
975C22⋊Q8—28no—
976C22⋊Q8—24no—
977C22⋊Q8—28no—
978C22⋊Q8—216no—
979C22⋊Q8—216no—
980C22⋊Q8—216no—
981C22⋊Q8—48no—
982C22⋊Q8—48no—
983C22⋊Q8—48no—
984C22⋊Q8—48no—
985C22⋊Q8—44no—
986C22⋊Q8—44no—
987C22⋊Q8—42no—
988C22⋊Q8—42no—
989C22⋊Q8—44no—
990C22⋊Q8—84no—
991C22⋊Q8—84no—
992#121—24no—
993#121—216no—
994#121—24no—
995#121—216no—
996#121—216no—
997#121—24no—
998#121—28no—
999#121—28no—
1000#121—28no—
1001#121—28no—
1002#121—28no—
1003#121—216no—
1004#121—216no—
1005#121—216no—
1006#121—48no—
1007#121—44no—
1008#121—44no—
1009#121—82no—
1010#121—84no—
1011#121C2×D4116yes—
1012#121C2×D4116yes—
1013#120—216no—
1014#120—216no—
1015#120—216no—
1016#120—48no—
1017#120—44no—
1018C4×Q8—28no—
1019C4×Q8—24no—
1020C4×Q8—28no—
1021C4×Q8—28no—
1022C4×Q8—28no—
1023C4×Q8—28no—
1024C4×Q8—24no—
1025C4×Q8—216no—
1026C4×Q8—216no—
1027C4×Q8—24no—
1028C4×Q8—24no—
1029C4×Q8—216no—
1030C4×Q8—82no—
1031C4×D4—24no—
1032C4×D4—24no—
1033C4×D4—216no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—216no—
1048C4×D4—216no—
1049C4×D4—216no—
1050C4×D4—44no—
1051C4×D4—44no—
1052C4×D4—42no—
1053C4×D4—42no—
1054C4×D4—44no—
1055C4×D4—42no—
1056C4×D4—84no—
1057C4×D4C2×D418yes—
1058C4×D4C2×D418yes—
1059#117—28no—
1060#117—28no—
1061#117—28no—
1062#117—24no—
1063#117—28no—
1064#117—28no—
1065#117—216no—
1066#117—216no—
1067#117—44no—
1068#117—44no—
1069#117C2×D4116yes—
1070#117C2×D4116yes—
1071C2×C4⋊C4—24no—
1072C2×C4⋊C4—28no—
1073C2×C4⋊C4—44no—
1074C2×C4⋊C4—44no—
1075C2×C4⋊C4—48no—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C22⋊C4—28no—
1142C2×C22⋊C4—216no—
1143C2×C22⋊C4—216no—
1144C2×C22⋊C4—48no—
1145C2×C22⋊C4—48no—
1146C2×C22⋊C4—84no—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C22⋊C4C2411yescharacteristic
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2411yescharacteristic
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C42—28no—
1224C2×C42—24no—
1225C2×C42—24no—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2411yescharacteristic
1230C2×C42C2414yes—
1231C2×C42C2414yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2412yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2414yes—
1239C2×C42C2412yes—
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2411yescharacteristic
1246C2×C42C2414yes—
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2414yes—
1250C2×C42C2414yes—
1251C2×C42C2411yescharacteristic
1252#95C2412yes—
1253#95C2412yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2411yescharacteristic
1257#95C2412yes—
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2412yes—
1263#95C2412yes—
1264#95C2411yescharacteristic
1265#95C2412yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300C24—24no—
1301C24—24no—
1302C24—24no—
1303C24—28no—
1304C24—28no—
1305C24—42no—
1306C24—42no—
1307C24—42no—
1308C24—44no—
1309C24—42no—
1310C24—44no—
1311C24—44no—
1312C24—44no—
1313C24—44no—
1314C24C2514yes—
1315C24C2511yescharacteristic
1316C24C2512yes—
1317C24C2512yes—
1318C24C2512yes—
1319C24C2511yescharacteristic
1320#41—416no—
1321#41—816no—
1322#41—816no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—28no—
1326C2×Q8—24no—
1327C2×Q8—22no—
1328C2×Q8—28no—
1329C2×Q8—28no—
1330C2×Q8—24no—
1331C2×Q8—22no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—22no—
1335C2×Q8—24no—
1336C2×Q8—22no—
1337C2×Q8—42no—
1338C2×Q8—44no—
1339C2×Q8—42no—
1340C2×Q8—44no—
1341C2×Q8—44no—
1342C2×Q8—432no—
1343C2×Q8C22×D418yes—
1344C2×Q8H(5,𝔽2)14yes—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—24no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—28no—
1353C2×D4—24no—
1354C2×D4—28no—
1355C2×D4—28no—
1356C2×D4—28no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—28no—
1360C2×D4—24no—
1361C2×D4—28no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—22no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—432no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—44no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—44no—
1388C2×D4—42no—
1389C2×D4—44no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—416no—
1400C2×D4—816no—
1401C2×D4—832no—
1402C2×D4C22×D414yes—
1403C2×D4C22×D414yes—
1404C2×D4C22×D4116yes—
1405C2×D42−1+414yes—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—28no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—28no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—28no—
1437C22×C4—28no—
1438C22×C4—28no—
1439C22×C4—44no—
1440C22×C4—42no—
1441C22×C4—41no—
1442C22×C4—44no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—41no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—41no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—816no—
1465C22×C4C22×D418yes—
1466C22×C4C22×D418yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2512yes—
1473C22×C4C2511yescharacteristic
1474C22×C4C2514yes—
1475C22×C4C2512yes—
1476C22×C4C2511yescharacteristic
1477C22×C4C2512yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2512yes—
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2511yescharacteristic
1488C22×C4C2514yes—
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2514yes—
1492C22×C4C2512yes—
1493C22×C4C2512yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—24no—
1499C4⋊C4—28no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—22no—
1507C4⋊C4—28no—
1508C4⋊C4—24no—
1509C4⋊C4—28no—
1510C4⋊C4—24no—
1511C4⋊C4—28no—
1512C4⋊C4—24no—
1513C4⋊C4—28no—
1514C4⋊C4—24no—
1515C4⋊C4—28no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—28no—
1519C4⋊C4—24no—
1520C4⋊C4—28no—
1521C4⋊C4—22no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—28no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—41no—
1540C4⋊C4—41no—
1541C4⋊C4—41no—
1542C4⋊C4—42no—
1543C4⋊C4—44no—
1544C4⋊C4—42no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—42no—
1548C4⋊C4—44no—
1549C4⋊C4—42no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C4⋊C4—42no—
1557C4⋊C4C22×D414yes—
1558C4⋊C4C22×D418yes—
1559C4⋊C4C22×D414yes—
1560C4⋊C4C22×D418yes—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—28no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—28no—
1571C22⋊C4—28no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—22no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—28no—
1580C22⋊C4—24no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—24no—
1584C22⋊C4—28no—
1585C22⋊C4—24no—
1586C22⋊C4—28no—
1587C22⋊C4—28no—
1588C22⋊C4—24no—
1589C22⋊C4—28no—
1590C22⋊C4—24no—
1591C22⋊C4—28no—
1592C22⋊C4—28no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—41no—
1606C22⋊C4—41no—
1607C22⋊C4—44no—
1608C22⋊C4—41no—
1609C22⋊C4—41no—
1610C22⋊C4—41no—
1611C22⋊C4—44no—
1612C22⋊C4—42no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—44no—
1618C22⋊C4—42no—
1619C22⋊C4—44no—
1620C22⋊C4—42no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4C22×D4116yes—
1634C22⋊C4C22×D418yes—
1635C22⋊C4C22×D4116yes—
1636C22⋊C4C22×D418yes—
1637C42—22no—
1638C42—22no—
1639C42—24no—
1640C42—22no—
1641C42—22no—
1642C42—24no—
1643C42—22no—
1644C42—24no—
1645C42—22no—
1646C42—28no—
1647C42—28no—
1648C42—24no—
1649C42—28no—
1650C42—24no—
1651C42—22no—
1652C42—24no—
1653C42—22no—
1654C42—22no—
1655C42—24no—
1656C42—22no—
1657C42—41no—
1658C42—44no—
1659C42—41no—
1660C42—44no—
1661C42C22×D414yes—
1662C42C22×D4116yes—
1663C23—22no—
1664C23—21no—
1665C23—21no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—21no—
1670C23—22no—
1671C23—22no—
1672C23—21no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—21no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—21no—
1687C23—21no—
1688C23—24no—
1689C23—24no—
1690C23—21no—
1691C23—21no—
1692C23—24no—
1693C23—21no—
1694C23—24no—
1695C23—24no—
1696C23—24no—
1697C23—21no—
1698C23—21no—
1699C23—24no—
1700C23—21no—
1701C23—48no—
1702C23—48no—
1703C23—48no—
1704C23—416no—
1705C23—84no—
1706C23—84no—
1707C23—84no—
1708C23—88no—
1709C23—88no—
1710C23—88no—
1711C23—88no—
1712C23—84no—
1713C23—164no—
1714C23—164no—
1715C23C23×D414yes—
1716C23C23×D414yes—
1717C23C2×2−1+414yes—
1718C23#58512yes—
1719C23C2611yescharacteristic
1720Q8—28no—
1721Q8—48no—
1722Q8—416no—
1723Q8—48no—
1724Q8—44no—
1725Q8—44no—
1726Q8—88no—
1727D4—28no—
1728D4—28no—
1729D4—28no—
1730D4—416no—
1731D4—416no—
1732D4—416no—
1733D4—48no—
1734D4—48no—
1735D4—48no—
1736D4—44no—
1737D4—48no—
1738D4—48no—
1739D4—84no—
1740D4—84no—
1741D4—84no—
1742D4—88no—
1743D4—88no—
1744D4—88no—
1745D4—164no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—24no—
1756C2×C4—216no—
1757C2×C4—216no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—24no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—24no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—24no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—24no—
1805C2×C4—24no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—24no—
1817C2×C4—21no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—416no—
1825C2×C4—48no—
1826C2×C4—44no—
1827C2×C4—44no—
1828C2×C4—48no—
1829C2×C4—44no—
1830C2×C4—44no—
1831C2×C4—44no—
1832C2×C4—82no—
1833C2×C4—84no—
1834C2×C4—84no—
1835C2×C4—88no—
1836C2×C4—88no—
1837C2×C4—88no—
1838C2×C4—84no—
1839C2×C4—84no—
1840C2×C4—88no—
1841C2×C4—164no—
1842C2×C4C23×D414yes—
1843C2×C4C23×D418yes—
1844C2×C4C23×D412yes—
1845C2×C4C23×D414yes—
1846C2×C4C23×D412yes—
1847C2×C4C23×D412yes—
1848C2×C4C2×H(5,𝔽2)14yes—
1849C2×C4C2×H(5,𝔽2)12yes—
1850C2×C4C2×2−1+412yes—
1851C2×C4#58512yes—
1852C2×C4#58512yes—
1853C22—22no—
1854C22—24no—
1855C22—24no—
1856C22—24no—
1857C22—22no—
1858C22—24no—
1859C22—24no—
1860C22—24no—
1861C22—24no—
1862C22—24no—
1863C22—22no—
1864C22—24no—
1865C22—42no—
1866C22—42no—
1867C22—42no—
1868C22—41no—
1869C22—42no—
1870C22—41no—
1871C22—42no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—41no—
1877C22—42no—
1878C22—42no—
1879C22—41no—
1880C22—42no—
1881C22—44no—
1882C22—41no—
1883C22—41no—
1884C22—44no—
1885C22—41no—
1886C22—44no—
1887C22—41no—
1888C22—44no—
1889C22—41no—
1890C22—44no—
1891C22—41no—
1892C22—44no—
1893C22—41no—
1894C22—44no—
1895C22—816no—
1896C22—1616no—
1897C22C24×D411yescharacteristic
1898C22C22×H(5,𝔽2)11yescharacteristic
1899C22C22×2−1+411yescharacteristic
1900C22C2×#58511yescharacteristic
1901C22C2×#58511yescharacteristic
1902C22C2×#58511yescharacteristic
1903C22H(7,𝔽2)11yescharacteristic
1904C4—22no—
1905C4—28no—
1906C4—24no—
1907C4—24no—
1908C4—24no—
1909C4—41no—
1910C4—41no—
1911C4—42no—
1912C4—42no—
1913C4—42no—
1914C4—41no—
1915C4—42no—
1916C4—41no—
1917C4—41no—
1918C4—42no—
1919C4—44no—
1920C4—42no—
1921C4—41no—
1922C4—41no—
1923C4—42no—
1924C4—42no—
1925C4—41no—
1926C4—41no—
1927C4—42no—
1928C4—44no—
1929C4—42no—
1930C4—41no—
1931C4#348814yes—
1932C4#348914yes—
1933C2—44no—
1934C2—42no—
1935C2—44no—
1936C2—44no—
1937C2—81no—
1938C2—84no—
1939C2C2×#348811yescharacteristic
1940C2C2×#348911yescharacteristic
1941C2#6282711yescharacteristic
1942C2#6292311yescharacteristic
1943C2#6295111yescharacteristic
1944C2#6298711yescharacteristic
1945C2#6301511yescharacteristic
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×#3518C2semidirect
2. C2×#3519C2semidirect
3. #59655C2semidirect
4. #59084C2semidirect
5. #59052C2semidirect
6. #59030C2semidirect
7. #58996C2semidirect
8. #51415C2semidirect
9. #50863C2semidirect
10. #47679C2semidirect
11. #45134C2semidirect
12. #45108C2semidirect
13. #45084C2semidirect
14. #44929C2semidirect
15. #44888C2semidirect
16. #42928C2semidirect
17. #42928C2semidirect
18. #39866C2semidirect
19. #39863C2semidirect
20. #39363C2semidirect
21. #38957C2semidirect
22. #38923C2semidirect
23. #38909C2semidirect
24. #37798C2semidirect
25. #37664C2semidirect
26. #36258C2semidirect
27. #36150C2semidirect
28. D4×C22⋊Q8C2semidirect
29. #36075C2semidirect
30. #35985C2semidirect
31. #35661C2semidirect
32. #35515C2semidirect
33. #34724C2semidirect
34. #34700C2semidirect
35. #34485C2semidirect
38. C2×Q82C22semidirect
39. C2×#556C22semidirect
40. C2×#556C22semidirect
41. C2×#556C22semidirect
42. C2×#556C22semidirect
44. C2×#555C22semidirect
49. C2×D4×Q8C22semidirect
50. C2×#548C22semidirect
53. C2×#546C22semidirect
56. C2×#542C22semidirect
57. C2×#542C22semidirect
60. C2×#536C22semidirect
61. C2×#533C22semidirect
62. C2×#533C22semidirect
65. C2×#529C22semidirect
66. C2×#529C22semidirect
68. C22×C22⋊Q8C22semidirect
70. C2×#519C22semidirect
72. C2×C4×#41C22semidirect
74. #2858C22semidirect
75. #2857C22semidirect
76. #2856C22semidirect
77. #2854C22semidirect
78. #2848C22semidirect
79. #2823C22semidirect
80. #2732C22semidirect
81. #2731C22semidirect
82. #2729C22semidirect
83. #2722C22semidirect
84. #2718C22semidirect
85. #2710C22semidirect
86. #2708C22semidirect
87. #2701C22semidirect
88. #2695C22semidirect
89. #2695C22semidirect
90. #2695C22semidirect
91. #2691C22semidirect
92. #2691C22semidirect
93. #2691C22semidirect
94. #2687C22semidirect
95. #2686C22semidirect
96. #2685C22semidirect
97. #2685C22semidirect
98. #2685C22semidirect
99. #2684C22semidirect
100. #2681C22semidirect
101. #2681C22semidirect
102. #2681C22semidirect
103. #2680C22semidirect
104. #2678C22semidirect
105. #2676C22semidirect
106. #2676C22semidirect
107. #2672C22semidirect
108. #2672C22semidirect
109. #2672C22semidirect
110. #2671C22semidirect
111. #2671C22semidirect
112. #2670C22semidirect
113. #2637C22semidirect
114. #2637C22semidirect
115. #2636C22semidirect
116. #2636C22semidirect
117. #2625C22semidirect
118. #2624C22semidirect
119. #2620C22semidirect
120. #2620C22semidirect
121. #2604C22semidirect
122. #2603C22semidirect
123. #2582C22semidirect
124. #2580C22semidirect
125. #2580C22semidirect
126. #2552C22semidirect
127. #2550C22semidirect
128. #2548C22semidirect
129. #2548C22semidirect
130. #2547C22semidirect
131. #2546C22semidirect
132. #2544C22semidirect
134. #2542C22semidirect
135. #2540C22semidirect
137. #2538C22semidirect
138. #2538C22semidirect
139. #2538C22semidirect
140. #2536C22semidirect
141. #2536C22semidirect
142. #2534C22semidirect
143. #2500C22semidirect
144. #2492C22semidirect
145. #2491C22semidirect
146. #2491C22semidirect
147. #2490C22semidirect
148. #2485C22semidirect
149. #2480C22semidirect
150. #2480C22semidirect
151. #2480C22semidirect
152. #2478C22semidirect
153. #2476C22semidirect
154. #2476C22semidirect
155. #2472C22semidirect
156. #2472C22semidirect
157. #2470C22semidirect
158. #2470C22semidirect
159. #2470C22semidirect
160. #2468C22semidirect
161. #2466C22semidirect
162. #2457C22semidirect
163. #2455C22semidirect
166. #2454C22semidirect
167. #2454C22semidirect
168. #2453C22semidirect
169. #2453C22semidirect
170. #2453C22semidirect
173. #2452C22semidirect
174. #2452C22semidirect
175. #2452C22semidirect
176. #2452C22semidirect
177. #2449C22semidirect
178. #2448C22semidirect
179. #2447C22semidirect
180. #2447C22semidirect
181. #2445C22semidirect
182. #2445C22semidirect
183. #2443C22semidirect
184. #2442C22semidirect
185. #2441C22semidirect
186. #2441C22semidirect
187. #2440C22semidirect
188. #2440C22semidirect
189. #2437C22semidirect
190. #2437C22semidirect
191. #2437C22semidirect
192. #2437C22semidirect
193. #2437C22semidirect
194. #2436C22semidirect
197. #2435C22semidirect
198. #2435C22semidirect
199. #2435C22semidirect
200. #2432C22semidirect
201. #2432C22semidirect
202. #2432C22semidirect
203. #2429C22semidirect
204. #2429C22semidirect
205. #2429C22semidirect
206. #2429C22semidirect
207. #2429C22semidirect
208. #2428C22semidirect
211. #2427C22semidirect
212. #2427C22semidirect
213. #2427C22semidirect
214. #2426C22semidirect
215. #2426C22semidirect
216. #2426C22semidirect
217. #2426C22semidirect
218. #2426C22semidirect
219. #2426C22semidirect
220. #2426C22semidirect
221. #2424C22semidirect
222. #2423C22semidirect
224. #2422C22semidirect
225. #2420C22semidirect
226. #2418C22semidirect
227. #2418C22semidirect
228. #2417C22semidirect
229. #2417C22semidirect
230. #2417C22semidirect
231. #2417C22semidirect
232. #2416C22semidirect
233. #2416C22semidirect
234. #2416C22semidirect
235. #2415C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2413C22semidirect
239. #2413C22semidirect
240. #2411C22semidirect
241. #2411C22semidirect
242. #2411C22semidirect
243. #2410C22semidirect
244. #2409C22semidirect
248. #2407C22semidirect
249. #2407C22semidirect
250. #2405C22semidirect
251. #2398C22semidirect
252. #2395C22semidirect
253. #2395C22semidirect
254. #2392C22semidirect
255. #2392C22semidirect
256. #2379C22semidirect
257. #2369C22semidirect
259. #2367C22semidirect
260. #2367C22semidirect
261. #2367C22semidirect
263. #2363C22semidirect
264. #2361C22semidirect
265. #2361C22semidirect
266. #2360C22semidirect
267. #2360C22semidirect
268. D4×C4⋊C4C22semidirect
269. D4×C4⋊C4C22semidirect
270. D4×C4⋊C4C22semidirect
271. #2346C22semidirect
272. #2346C22semidirect
273. #2341C22semidirect
275. D4×C22⋊C4C22semidirect
276. D4×C22⋊C4C22semidirect
277. #2326C22semidirect
278. #2326C22semidirect
279. #2324C22semidirect
280. #2324C22semidirect
281. #2317C22semidirect
282. #2317C22semidirect
283. #2316C22semidirect
284. #2311C22semidirect
286. C4×C4⋊Q8C22semidirect
287. C4×C4⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×C22⋊Q8C22semidirect
291. C4×C22⋊Q8C22semidirect
292. C4×#123C22semidirect
294. C4×#120C22semidirect
295. #2296C22semidirect
296. #2293C22semidirect
297. #2293C22semidirect
299. #2280C22semidirect
300. C42×D4C22semidirect
316. #555D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35182
C2×#35192
#596552
#590842
#590522
#590302
#589962
#514152
#508632
#476792
#451342
#451082
#450842
#449292
#448882
#429282
#398662
#398632
#393632
#389572
#389232
#389092
#377982
#376642
#362582
#361502
D4×C22⋊Q82
#360752
#359852
#356612
#355152
#347242
#347002
#344852