Finite Group Databasebeta

← #7658538

Subgroups — #7658538

Order 512.

7146 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3520C211yesmaximal, characteristic, complemented
2C2×#3513C211yesmaximal, characteristic, complemented
3#42675C212yesmaximal, complemented
4#42649C211yesmaximal, characteristic, complemented
5#42645C211yesmaximal, characteristic, complemented
6#42477C212yesmaximal, complemented
7#42441C212yesmaximal, complemented
8#42440C212yesmaximal, complemented
9#42428C211yesmaximal, characteristic, complemented
10#42424C211yesmaximal, characteristic, complemented
11#41405C214yesmaximal, complemented
12#41373C212yesmaximal, complemented
13#41369C212yesmaximal, complemented
14#40587C214yesmaximal, complemented
15#40519C214yesmaximal, complemented
16#40518C214yesmaximal, complemented
17#40493C212yesmaximal, complemented
18#40489C212yesmaximal, complemented
19#37633C211yesmaximal, characteristic, complemented
20#37622C211yesmaximal, characteristic, complemented
21#37553C211yesmaximal, characteristic, complemented
22#37452C212yesmaximal, complemented
23#37444C212yesmaximal, complemented
24#37442C212yesmaximal, complemented
25#36684C211yesmaximal, characteristic, complemented
26C2×#2814C212yesmaximal, complemented
27#36020C211yesmaximal, characteristic, complemented
28#36009C212yesmaximal, complemented
29#36009C211yesmaximal, characteristic, complemented
30#35821C212yesmaximal, complemented
31#35806C212yesmaximal, complemented
32#35761C212yesmaximal, complemented
33#35739C211yesmaximal, characteristic, complemented
34#35702C211yesmaximal, characteristic, complemented
35#34181C211yesmaximal, characteristic, complemented
36#3520—216no—
37#3513—216no—
38C2×#559C2211yescharacteristic
39C2×#556C2211yescharacteristic, complemented
40C2×#554C2211yescharacteristic
41C2×#554C2212yescomplemented
42C2×#553C2212yes—
43C2×#553C2211yescharacteristic
44C2×#552C2211yescharacteristic
45C2×#552C2212yescomplemented
46C2×#551C2212yes—
47C2×#551C2212yes—
48C2×#551C2214yescomplemented
49C2×D4×Q8C2211yescharacteristic
50C2×#548C2212yescomplemented
51C2×#547C2211yescharacteristic
52C2×#547C2211yescharacteristic
53C2×#547C2212yes—
54C2×#547C2211yescharacteristic, complemented
55C2×#546C2212yes—
56C2×#546C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×#546C2212yes—
59C2×#546C2212yes—
60C2×D42C2211yescharacteristic
61C2×#542C2211yescharacteristic
62C2×#542C2212yescomplemented
63C2×#540C2211yescharacteristic
64C2×#539C2212yes—
65C2×#539C2214yescomplemented
66C2×#538C2212yes—
67C2×#533C2211yescharacteristic, complemented
68C2×#529C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic, complemented
71C2×#525C2212yes—
72C2×#525C2212yescomplemented
73C22×#123C2212yes—
74C22×C22⋊Q8C2212yescomplemented
75C2×#520C2211yescharacteristic
76C2×#520C2212yes—
77C2×#518C2211yescharacteristic
78C2×#518C2212yes—
79C22×C4×D4C2211yescharacteristic
80#2823C2212yescomplemented
81#2823C2212yescomplemented
82#2822C2211yescharacteristic, complemented
83#2820C2211yescharacteristic, complemented
84#2820C2211yescharacteristic, complemented
85#2819C2211yescharacteristic, complemented
86#2814C2211yescharacteristic
87#2814C2212yes—
88#2814C2214yes—
89#2814C2212yescomplemented
90#2814C2212yescomplemented
91#2814C2212yescomplemented
92#2814C2212yescomplemented
93#2814C2212yescomplemented
94#2814C2214yescomplemented
95#2814C2214yescomplemented
96#2814C2212yescomplemented
97#2814C2212yescomplemented
98#2814C2214yescomplemented
99#2814C2211yescharacteristic, complemented
100#2814C2212yescomplemented
101#2814C2212yescomplemented
102#2813C2211yescharacteristic
103#2813C2212yes—
104#2813C2211yescharacteristic, complemented
105#2813C2212yescomplemented
106#2726C2214yescomplemented
107#2725C2214yescomplemented
108#2722C2214yescomplemented
109#2722C2214yescomplemented
110#2715C2214yescomplemented
111#2715C2214yescomplemented
112#2715C2214yescomplemented
113#2712C2214yescomplemented
114#2707C2214yescomplemented
115#2704C2214yescomplemented
116#2704C2214yescomplemented
117#2702C2214yescomplemented
118#2695C2214yescomplemented
119#2695C2214yescomplemented
120#2695C2214yescomplemented
121#2693C2214yescomplemented
122#2691C2214yescomplemented
123#2691C2214yescomplemented
124#2683C2214yescomplemented
125#2681C2214yescomplemented
126#2676C2214yescomplemented
127#2672C2214yescomplemented
128#2672C2214yescomplemented
129#2671C2214yescomplemented
130#2664C2212yescomplemented
131#2664C2212yescomplemented
132#2664C2212yescomplemented
133#2662C2212yescomplemented
134#2659C2212yescomplemented
135#2659C2212yescomplemented
136#2639C2212yescomplemented
137#2639C2212yescomplemented
138#2637C2212yescomplemented
139#2637C2212yescomplemented
140#2630C2214yes—
141#2630C2214yescomplemented
142#2630C2214yescomplemented
143#2630C2214yescomplemented
144#2630C2214yescomplemented
145#2629C2214yescomplemented
146#2629C2212yescomplemented
147#2628C2211yescharacteristic, complemented
148#2628C2211yescharacteristic, complemented
149#2627C2214yescomplemented
150#2627C2212yescomplemented
151#2626C2212yescomplemented
152#2625C2214yescomplemented
153#2625C2212yescomplemented
154#2625C2212yescomplemented
155#2624C2212yes—
156#2624C2212yescomplemented
157#2621C2212yescomplemented
158#2621C2211yescharacteristic, complemented
159#2621C2211yescharacteristic, complemented
160#2620C2212yes—
161#2620C2212yescomplemented
162#2618C2212yescomplemented
163#2618C2214yescomplemented
164#2618C2214yescomplemented
165#2618C2214yescomplemented
166#2617C2214yes—
167#2617C2212yescomplemented
168#2617C2214yescomplemented
169#2616C2212yescomplemented
170#2616C2214yescomplemented
171#2615C2212yescomplemented
172#2601C2214yescomplemented
173#2592C2212yescomplemented
174#2584C2212yescomplemented
175#2582C2212yescomplemented
176#2581C2211yescharacteristic, complemented
177#2580C2211yescharacteristic, complemented
178#2579C2214yescomplemented
179#2567C2211yescharacteristic, complemented
180#2565C2212yescomplemented
181#2564C2212yescomplemented
182#2564C2212yescomplemented
183#2563C2211yescharacteristic, complemented
184#2547C2211yescharacteristic, complemented
185#2547C2212yescomplemented
186#2546C2211yescharacteristic, complemented
187#2545C2212yescomplemented
188#2544C2212yes—
189#2543C2212yescomplemented
190#2543C2214yescomplemented
191#2543C2212yescomplemented
192#2538C2212yescomplemented
193#2537C2212yes—
194#2536C2211yescharacteristic, complemented
195#2535C2211yescharacteristic, complemented
196#2535C2212yescomplemented
197#2534C2214yes—
198#2534C2214yescomplemented
199#2498C2212yescomplemented
200#2498C2212yescomplemented
201#2486C2212yescomplemented
202#2486C2212yescomplemented
203#2486C2214yescomplemented
204#2485C2214yescomplemented
205#2485C2214yescomplemented
206#2453C2212yescomplemented
207#2452C2212yescomplemented
208#2451C2212yescomplemented
209#2451C2212yescomplemented
210#2450C2214yescomplemented
211#2450C2214yescomplemented
212#2449C2214yescomplemented
213#2449C2214yescomplemented
214#2442C2212yescomplemented
215#2440C2212yescomplemented
216#2440C2212yescomplemented
217#2439C2212yescomplemented
218#2438C2214yescomplemented
219#2438C2214yescomplemented
220#2438C2214yescomplemented
221#2437C2214yescomplemented
222#2430C2212yescomplemented
223#2430C2212yescomplemented
224#2429C2212yescomplemented
225#2429C2212yescomplemented
226#2428C2212yes—
227#2427C2212yes—
228#2427C2212yescomplemented
229#2427C2212yescomplemented
230#2427C2212yescomplemented
231#2426C2212yescomplemented
232#2425C2214yes—
233#2425C2214yescomplemented
234#2425C2214yescomplemented
235#2425C2214yescomplemented
236#2425C2214yescomplemented
237#2425C2214yescomplemented
238#2424C2214yes—
239#2424C2214yescomplemented
240#2417C2214yescomplemented
241#2417C2214yescomplemented
242#2417C2214yescomplemented
243#2417C2212yescomplemented
244#2417C2212yescomplemented
245#2416C2214yes—
246#2416C2214yescomplemented
247#2416C2212yescomplemented
248#2415C2212yes—
249#2415C2212yescomplemented
250#2415C2212yescomplemented
251#2415C2212yescomplemented
252#2414C2212yes—
253#2413C2214yescomplemented
254#2413C2214yescomplemented
255#2412C2214yes—
256#2412C2214yescomplemented
257#2412C2214yescomplemented
258#2412C2214yescomplemented
259#2411C2214yescomplemented
260#2410C2214yes—
261#2409C2212yescomplemented
262#2409C2212yescomplemented
263#2407C2214yescomplemented
264#2396C2211yescharacteristic, complemented
265#2396C2211yescharacteristic, complemented
266#2396C2212yescomplemented
267#2392C2212yes—
268#2392C2211yescharacteristic, complemented
269#2392C2212yescomplemented
270#2392C2211yescharacteristic, complemented
271#2392C2212yescomplemented
272C2×#398C2214yescomplemented
273C2×#398C2212yescomplemented
274C2×#397C2212yescomplemented
275C2×#397C2214yescomplemented
276C2×#396C2214yescomplemented
277C2×#395C2212yescomplemented
278C2×#394C2214yes—
279C2×#393C2212yescomplemented
280#2349C2211yescharacteristic
281#2349C2212yes—
282#2349C2211yescharacteristic
283#2349C2212yescomplemented
284#2349C2212yescomplemented
285#2349C2211yescharacteristic, complemented
286#2349C2211yescharacteristic, complemented
287D4×C4⋊C4C2212yes—
288D4×C4⋊C4C2212yes—
289D4×C4⋊C4C2214yescomplemented
290D4×C4⋊C4C2212yescomplemented
291#2339C2212yes—
292#2339C2212yes—
293#2339C2212yes—
294D4×C22⋊C4C2212yes—
295#2316C2212yescomplemented
296#2315C2214yescomplemented
297#2285C2211yescharacteristic, complemented
298#2285C2211yescharacteristic, complemented
299C2×#380C2212yescomplemented
300C2×#380C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C23×D4C2312yes—
309C24×C4C2312yes—
310#559—28no—
311#556—28no—
312#554—28no—
313#554—216no—
314#553—216no—
315#553—28no—
316#552—216no—
317#552—28no—
318#551—216no—
319#551—216no—
320#551—232no—
321D4×Q8—28no—
322#548—216no—
323#547—28no—
324#547—28no—
325#547—28no—
326#547—48no—
327#546—28no—
328#546—216no—
329#546—28no—
330#546—216no—
331#546—48no—
332D42—28no—
333#542—28no—
334#542—216no—
335#540—28no—
336#539—216no—
337#539—232no—
338#538—216no—
339#533—28no—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×#127C2311yescharacteristic
346#529—28no—
347#529—28no—
348#529—28no—
349C2×#126C2312yes—
350C2×#126C2311yescharacteristic
351C2×#126C2311yescharacteristic
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2314yes—
356C2×#126C2312yes—
357C2×#126C2314yes—
358C2×#125C2311yescharacteristic
359C2×#125C2311yescharacteristic
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2314yes—
364C2×#125C2311yescharacteristic
365C2×#124C2311yescharacteristic
366C2×#124C2311yescharacteristic
367C2×#124C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374#525—216no—
375#525—216no—
376C2×#123—216no—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2311yescharacteristic
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2311yescharacteristic
388C2×#123C2314yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×C22⋊Q8—216no—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2314yes—
424C2×C22⋊Q8C2314yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#121C2312yes—
443C2×#121C2314yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#120C2312yes—
447C2×#120C2314yes—
448C2×#120C2312yes—
449C2×#120C2312yes—
450C2×#120C2312yes—
451C2×#120C2314yes—
452#520—28no—
453#520—216no—
454#518—28no—
455#518—48no—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×D4D4116yescomplemented
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2314yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2312yes—
497C2×C4×D4C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C2×#117C2314yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2314yes—
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2311yescharacteristic
516C22×C4⋊C4C2314yes—
517C22×C4⋊C4C2314yes—
518C22×C4⋊C4C2314yes—
519C22×C4⋊C4C2314yes—
520C22×C4⋊C4C2311yescharacteristic
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2314yes—
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2312yes—
526C22×C22⋊C4C2314yes—
527C22×C22⋊C4C2314yes—
528C22×C22⋊C4C2314yes—
529C22×C22⋊C4C2314yes—
530C22×C22⋊C4C2312yes—
531C22×C42C2311yescharacteristic
532#400C2311yescharacteristic
533#400C2312yes—
534#400C2311yescharacteristic
535#400C2312yes—
536#400C2314yes—
537#400C2314yes—
538#400C2312yes—
539#400C2312yes—
540#399C2311yescharacteristic
541#399C2312yes—
542#399C2311yescharacteristic
543#399C2312yes—
544#399C2312yes—
545#399C2312yes—
546#398C2314yes—
547#398C2314yes—
548#398C2312yes—
549#398C2312yes—
550#398C2311yescharacteristic
551#398C2311yescharacteristic
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2314yes—
558#398C2314yes—
559#398C2312yes—
560#398C2312yes—
561#398C2314yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#398C2314yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2314yes—
570#398C2314yes—
571#398C2312yes—
572#398C2314yes—
573#398C2312yes—
574#398C2314yes—
575#398C2314yes—
576#398C2314yes—
577#398C2314yes—
578#398C2314yes—
579#398C2314yes—
580#397C2311yescharacteristic
581#397C2311yescharacteristic
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2314yes—
586#397C2314yes—
587#397C2314yes—
588#397C2314yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2314yes—
593#397C2312yes—
594#397C2312yes—
595#397C2314yes—
596#397C2314yes—
597#397C2312yes—
598#397C2312yes—
599#397C2314yes—
600#397C2314yes—
601#397C2314yes—
602#397C2314yes—
603#397C2314yes—
604#397C2314yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2314yes—
618#396C2314yes—
619#396C2314yes—
620#396C2314yes—
621#396C2314yes—
622#396C2314yes—
623#396C2314yes—
624#396C2314yes—
625#396C2314yes—
626#396C2314yes—
627#396C2314yes—
628#396C2314yes—
629#396C2314yes—
630#396C2314yes—
631#396C2314yes—
632#396C2314yes—
633#396C2314yes—
634#396C2314yes—
635#395C2312yes—
636#395C2312yes—
637#395C2311yescharacteristic
638#395C2311yescharacteristic
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2314yes—
644#395C2314yes—
645#395C2314yes—
646#395C2314yes—
647#394C2312yes—
648#394C2312yes—
649#394C2311yescharacteristic
650#394C2311yescharacteristic
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2314yes—
657#394C2312yes—
658#394C2314yes—
659#394C2314yes—
660#394C2314yes—
661#394C2314yes—
662#394C2314yes—
663#394C2312yes—
664#394C2314yes—
665#394C2314yes—
666#394C2312yes—
667#394C2314yes—
668#394C2314yes—
669#394C2314yes—
670#394C2314yes—
671#394C2314yes—
672#394C2314yes—
673#394C2314yes—
674#394C2314yes—
675#394C2312yes—
676#394C2312yes—
677#394C2314yes—
678#394C2314yes—
679#394C2314yes—
680#394C2314yes—
681#393C2312yes—
682#393C2312yes—
683#393C2311yescharacteristic
684#393C2311yescharacteristic
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2314yes—
690#393C2314yes—
691#392C2311yescharacteristic
692#392C2311yescharacteristic
693#392C2312yes—
694#392C2314yes—
695#392C2314yes—
696#392C2312yes—
697#392C2314yes—
698#392C2312yes—
699#392C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2314yes—
705#391C2312yes—
706#391C2312yes—
707#391C2314yes—
708#391C2314yes—
709#391C2314yes—
710#390C2312yes—
711#390C2312yes—
712#390C2314yes—
713#390C2314yes—
714#390C2314yes—
715#389C2314yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2314yes—
721#389C2314yes—
722#389C2312yes—
723#389C2312yes—
724#389C2314yes—
725#389C2312yes—
726#389C2312yes—
727#389C2314yes—
728#389C2314yes—
729#389C2314yes—
730#389C2314yes—
731#389C2314yes—
732#389C2314yes—
733#389C2314yes—
734#389C2314yes—
735#389C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
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#386C2314yes—
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#384C2312yes—
793#384C2312yes—
794#384C2312yes—
795#382C2312yes—
796#382C2311yescharacteristic
797#382C2311yescharacteristic
798#382C2311yescharacteristic
799#382C2311yescharacteristic
800#381C2314yes—
801#381C2314yes—
802#381C2314yes—
803#380C2314yes—
804#380C2314yes—
805#380C2314yes—
806#380C2312yes—
807#380C2312yes—
808#380C2314yes—
809#380C2314yes—
810#380C2314yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2314yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2314yes—
821#380C2314yes—
822#380C2314yes—
823#380C2314yes—
824#380C2314yes—
825#380C2314yes—
826#380C2314yes—
827#380C2314yes—
828#380C2314yes—
829#380C2314yes—
830#380C2314yes—
831#380C2311yescharacteristic
832#380C2311yescharacteristic
833#380C2312yes—
834#379C2314yes—
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C2×#95C2312yes—
847C2×#95C2312yes—
848C2×#95C2314yes—
849C2×#95C2314yes—
850C2×#95C2314yes—
851C2×#95C2314yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C25C2412yes—
855C25C2412yes—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—28no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—84no—
865C2×#41—84no—
866C22×Q8—28no—
867C22×Q8—84no—
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×Q8C2414yes—
874C22×Q8C2412yes—
875C22×D4—24no—
876C22×D4—24no—
877C22×D4—28no—
878C22×D4—24no—
879C22×D4—24no—
880C22×D4—24no—
881C22×D4—84no—
882C22×D4C2×D418yes—
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2411yescharacteristic
905C23×C4—84no—
906C23×C4C2×D4116yes—
907C23×C4C2412yes—
908C23×C4C2414yes—
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2414yes—
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2414yes—
923C23×C4C2414yes—
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C4⋊Q8—24no—
932C4⋊Q8—28no—
933C4⋊Q8—24no—
934C4⋊Q8—24no—
935C4⋊Q8—44no—
936#127—24no—
937#126—28no—
938#126—28no—
939#126—216no—
940#126—216no—
941#126—28no—
942#126—28no—
943#126—28no—
944#126—24no—
945#126—24no—
946#125—28no—
947#125—216no—
948#125—24no—
949#125—24no—
950#125—24no—
951#125—24no—
952#125—28no—
953#124—28no—
954#124—24no—
955#124—28no—
956#124—28no—
957#124—216no—
958#124—24no—
959#124—24no—
960#124—24no—
961#124—44no—
962#123—28no—
963#123—216no—
964#123—24no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—24no—
973#123—216no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—216no—
979#123—216no—
980#123—28no—
981#123—48no—
982#123—48no—
983#123—48no—
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—216no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—216no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—216no—
998C22⋊Q8—24no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—28no—
1002C22⋊Q8—216no—
1003C22⋊Q8—44no—
1004C22⋊Q8—44no—
1005C22⋊Q8—44no—
1006C22⋊Q8—84no—
1007C22⋊Q8—84no—
1008C22⋊Q8—84no—
1009#121—28no—
1010#121—28no—
1011#121—216no—
1012#121—24no—
1013#121—24no—
1014#121—28no—
1015#121—24no—
1016#121—28no—
1017#121—28no—
1018#121—28no—
1019#121—24no—
1020#121—24no—
1021#121—24no—
1022#121—28no—
1023#121—28no—
1024#121—44no—
1025#121—48no—
1026#121—48no—
1027#121—84no—
1028#121—84no—
1029#121—84no—
1030#120—28no—
1031#120—28no—
1032#120—216no—
1033#120—28no—
1034#120—28no—
1035#120—48no—
1036C4×Q8—24no—
1037C4×Q8—28no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—24no—
1041C4×Q8—24no—
1042C4×Q8—28no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—216no—
1051C4×D4—216no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—24no—
1055C4×D4—24no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—24no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—216no—
1062C4×D4—24no—
1063C4×D4—24no—
1064C4×D4—24no—
1065C4×D4—44no—
1066C4×D4—44no—
1067C4×D4—44no—
1068C4×D4—44no—
1069C4×D4—48no—
1070C4×D4—48no—
1071C4×D4C2×D418yes—
1072C4×D4C2×D418yes—
1073C4×D4C2×D4116yes—
1074C4×D4C2×D4116yes—
1075C4×D4C2×D418yes—
1076C4×D4C2×D418yes—
1077#117—28no—
1078#117—28no—
1079#117—28no—
1080#117—24no—
1081#117—28no—
1082#117—216no—
1083#117—24no—
1084#117—24no—
1085#117—28no—
1086#117—28no—
1087#117—44no—
1088#117—44no—
1089C2×C4⋊C4—216no—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—28no—
1093C2×C4⋊C4—24no—
1094C2×C4⋊C4—28no—
1095C2×C4⋊C4—48no—
1096C2×C4⋊C4—84no—
1097C2×C4⋊C4—84no—
1098C2×C4⋊C4—84no—
1099C2×C4⋊C4C2×D418yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2411yescharacteristic
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C4⋊C4C2412yes—
1172C2×C22⋊C4—216no—
1173C2×C22⋊C4—28no—
1174C2×C22⋊C4—28no—
1175C2×C22⋊C4—28no—
1176C2×C22⋊C4—28no—
1177C2×C22⋊C4—48no—
1178C2×C22⋊C4—48no—
1179C2×C22⋊C4—48no—
1180C2×C22⋊C4—84no—
1181C2×C22⋊C4C2×D4116yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2411yescharacteristic
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C42C2×D418yes—
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2414yes—
1260C2×C42C2414yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2412yes—
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2414yes—
1267C2×C42C2411yescharacteristic
1268C2×C42C2411yescharacteristic
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2411yescharacteristic
1275#95C2412yes—
1276#95C2411yescharacteristic
1277#95C2412yes—
1278#95C2411yescharacteristic
1279#95C2411yescharacteristic
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319C24—24no—
1320C24—24no—
1321C24—24no—
1322C24—24no—
1323C24—24no—
1324C24—44no—
1325C24—44no—
1326C24—44no—
1327C24—44no—
1328C24C22×D418yes—
1329C24C2511yescharacteristic
1330C24C2512yes—
1331C24C2512yes—
1332C24C2511yescharacteristic
1333C24C2511yescharacteristic
1334C24C2512yes—
1335C24C2512yes—
1336#41—416no—
1337#41—432no—
1338#41—816no—
1339#41—816no—
1340C2×Q8—22no—
1341C2×Q8—24no—
1342C2×Q8—22no—
1343C2×Q8—24no—
1344C2×Q8—22no—
1345C2×Q8—28no—
1346C2×Q8—24no—
1347C2×Q8—24no—
1348C2×Q8—22no—
1349C2×Q8—22no—
1350C2×Q8—24no—
1351C2×Q8—42no—
1352C2×Q8—44no—
1353C2×Q8—44no—
1354C2×Q8—44no—
1355C2×Q8—44no—
1356C2×Q8—42no—
1357C2×Q8—816no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—232no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—28no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—22no—
1368C2×D4—28no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—28no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—28no—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—42no—
1388C2×D4—44no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—416no—
1411C2×D4—816no—
1412C2×D4C22×D418yes—
1413C2×D4C22×D414yes—
1414C2×D4C22×D414yes—
1415C2×D4H(5,𝔽2)14yes—
1416C2×D42−1+414yes—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—28no—
1421C22×C4—28no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—28no—
1425C22×C4—24no—
1426C22×C4—28no—
1427C22×C4—24no—
1428C22×C4—28no—
1429C22×C4—28no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—24no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—28no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—42no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—42no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—816no—
1470C22×C4C22×D414yes—
1471C22×C4C22×D414yes—
1472C22×C4C22×D414yes—
1473C22×C4C22×D418yes—
1474C22×C4C22×D418yes—
1475C22×C4C22×D418yes—
1476C22×C4C22×D418yes—
1477C22×C4C22×D418yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2514yes—
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2514yes—
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2514yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2512yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2514yes—
1494C22×C4C2512yes—
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C22×C4C2512yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C22×C4C2512yes—
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C4⋊C4—24no—
1507C4⋊C4—28no—
1508C4⋊C4—24no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—28no—
1517C4⋊C4—28no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—28no—
1522C4⋊C4—24no—
1523C4⋊C4—22no—
1524C4⋊C4—24no—
1525C4⋊C4—22no—
1526C4⋊C4—22no—
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—22no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—28no—
1539C4⋊C4—22no—
1540C4⋊C4—24no—
1541C4⋊C4—22no—
1542C4⋊C4—28no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—42no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—42no—
1562C4⋊C4—42no—
1563C4⋊C4—44no—
1564C4⋊C4—42no—
1565C4⋊C4—44no—
1566C4⋊C4—42no—
1567C4⋊C4—42no—
1568C4⋊C4—42no—
1569C4⋊C4—42no—
1570C4⋊C4—44no—
1571C4⋊C4—44no—
1572C4⋊C4—42no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4C22×D414yes—
1576C4⋊C4C22×D414yes—
1577C4⋊C4C22×D418yes—
1578C22⋊C4—24no—
1579C22⋊C4—22no—
1580C22⋊C4—28no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—28no—
1584C22⋊C4—28no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—22no—
1588C22⋊C4—24no—
1589C22⋊C4—28no—
1590C22⋊C4—28no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—28no—
1594C22⋊C4—28no—
1595C22⋊C4—24no—
1596C22⋊C4—22no—
1597C22⋊C4—22no—
1598C22⋊C4—22no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—22no—
1610C22⋊C4—22no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—22no—
1614C22⋊C4—28no—
1615C22⋊C4—24no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—42no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—44no—
1633C22⋊C4—42no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—42no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4C22×D418yes—
1648C22⋊C4C22×D418yes—
1649C22⋊C4C22×D418yes—
1650C22⋊C4C22×D418yes—
1651C42—24no—
1652C42—24no—
1653C42—24no—
1654C42—28no—
1655C42—28no—
1656C42—22no—
1657C42—24no—
1658C42—22no—
1659C42—24no—
1660C42—24no—
1661C42—44no—
1662C42C22×D414yes—
1663C42C22×D414yes—
1664C42C22×D414yes—
1665C42C22×D414yes—
1666C23—24no—
1667C23—24no—
1668C23—21no—
1669C23—22no—
1670C23—21no—
1671C23—22no—
1672C23—24no—
1673C23—22no—
1674C23—24no—
1675C23—22no—
1676C23—216no—
1677C23—21no—
1678C23—22no—
1679C23—22no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—22no—
1684C23—22no—
1685C23—21no—
1686C23—22no—
1687C23—21no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—24no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—24no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—48no—
1700C23—48no—
1701C23—48no—
1702C23—88no—
1703C23—88no—
1704C23—84no—
1705C23—88no—
1706C23—88no—
1707C23—84no—
1708C23C23×D414yes—
1709C23C23×D412yes—
1710C23C23×D414yes—
1711C23C2×H(5,𝔽2)14yes—
1712C23C2×2−1+414yes—
1713C23C2611yescharacteristic
1714Q8—44no—
1715Q8—48no—
1716Q8—44no—
1717Q8—48no—
1718Q8—82no—
1719Q8—88no—
1720Q8—84no—
1721D4—216no—
1722D4—28no—
1723D4—44no—
1724D4—48no—
1725D4—44no—
1726D4—48no—
1727D4—44no—
1728D4—48no—
1729D4—48no—
1730D4—416no—
1731D4—44no—
1732D4—82no—
1733D4—84no—
1734D4—84no—
1735D4—84no—
1736D4—84no—
1737D4—84no—
1738D4—88no—
1739D4—84no—
1740D4—84no—
1741D4—164no—
1742D4#537116yes—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—28no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—24no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—24no—
1771C2×C4—24no—
1772C2×C4—22no—
1773C2×C4—24no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—24no—
1782C2×C4—24no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—24no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—24no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—24no—
1802C2×C4—22no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—44no—
1807C2×C4—48no—
1808C2×C4—48no—
1809C2×C4—48no—
1810C2×C4—48no—
1811C2×C4—48no—
1812C2×C4—44no—
1813C2×C4—48no—
1814C2×C4—416no—
1815C2×C4—44no—
1816C2×C4—44no—
1817C2×C4—48no—
1818C2×C4—84no—
1819C2×C4—88no—
1820C2×C4—84no—
1821C2×C4—84no—
1822C2×C4—88no—
1823C2×C4—88no—
1824C2×C4—84no—
1825C2×C4—84no—
1826C2×C4—88no—
1827C2×C4—164no—
1828C2×C4—164no—
1829C2×C4C23×D412yes—
1830C2×C4C23×D412yes—
1831C2×C4C23×D414yes—
1832C2×C4C23×D414yes—
1833C2×C4C23×D412yes—
1834C2×C4C23×D412yes—
1835C2×C4C23×D412yes—
1836C2×C4C23×D412yes—
1837C2×C4C2×H(5,𝔽2)12yes—
1838C2×C4C2×2−1+412yes—
1839C22—28no—
1840C22—28no—
1841C22—24no—
1842C22—24no—
1843C22—22no—
1844C22—24no—
1845C22—22no—
1846C22—24no—
1847C22—22no—
1848C22—24no—
1849C22—44no—
1850C22—42no—
1851C22—44no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—44no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—44no—
1862C22—42no—
1863C22—42no—
1864C22—41no—
1865C22—42no—
1866C22—41no—
1867C22—42no—
1868C22—42no—
1869C22—41no—
1870C22—41no—
1871C22—42no—
1872C22—41no—
1873C22—41no—
1874C22—42no—
1875C22—816no—
1876C22—168no—
1877C22C2×#53718yes—
1878C22C24×D411yescharacteristic
1879C22C22×H(5,𝔽2)11yescharacteristic
1880C22C22×2−1+411yescharacteristic
1881C22H(7,𝔽2)12yes—
1882C222−1+612yes—
1883C4—22no—
1884C4—22no—
1885C4—24no—
1886C4—24no—
1887C4—22no—
1888C4—22no—
1889C4—22no—
1890C4—42no—
1891C4—42no—
1892C4—44no—
1893C4—44no—
1894C4—42no—
1895C4—42no—
1896C4—41no—
1897C4—42no—
1898C4—41no—
1899C4—44no—
1900C4—42no—
1901C4—42no—
1902C4—41no—
1903C4—42no—
1904C4—41no—
1905C4—41no—
1906C4—42no—
1907C4—41no—
1908C4—42no—
1909C4—44no—
1910C4C2×#53714yes—
1911C2—28no—
1912C2—44no—
1913C2—42no—
1914C2—82no—
1915C2—81no—
1916C2—82no—
1917C2—81no—
1918C2C22×#53711yescharacteristic
1919C2#6284211yescharacteristic
1920C2#6285911yescharacteristic
1921C2#6304912yes—
1922C2#6305812yes—
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×#3520C2semidirect
2. C2×#3513C2semidirect
3. #42675C2semidirect
4. #42649C2semidirect
5. #42645C2semidirect
6. #42477C2semidirect
7. #42441C2semidirect
8. #42440C2semidirect
9. #42428C2semidirect
10. #42424C2semidirect
11. #41405C2semidirect
12. #41373C2semidirect
13. #41369C2semidirect
14. #40587C2semidirect
15. #40519C2semidirect
16. #40518C2semidirect
17. #40493C2semidirect
18. #40489C2semidirect
19. #37633C2semidirect
20. #37622C2semidirect
21. #37553C2semidirect
22. #37452C2semidirect
23. #37444C2semidirect
24. #37442C2semidirect
25. #36684C2semidirect
26. C2×#2814C2semidirect
27. #36020C2semidirect
28. #36009C2semidirect
29. #36009C2semidirect
30. #35821C2semidirect
31. #35806C2semidirect
32. #35761C2semidirect
33. #35739C2semidirect
34. #35702C2semidirect
35. #34181C2semidirect
39. C2×#556C22semidirect
41. C2×#554C22semidirect
45. C2×#552C22semidirect
48. C2×#551C22semidirect
50. C2×#548C22semidirect
54. C2×#547C22semidirect
62. C2×#542C22semidirect
65. C2×#539C22semidirect
67. C2×#533C22semidirect
70. C2×#529C22semidirect
72. C2×#525C22semidirect
74. C22×C22⋊Q8C22semidirect
80. #2823C22semidirect
81. #2823C22semidirect
82. #2822C22semidirect
83. #2820C22semidirect
84. #2820C22semidirect
85. #2819C22semidirect
89. #2814C22semidirect
90. #2814C22semidirect
91. #2814C22semidirect
92. #2814C22semidirect
93. #2814C22semidirect
94. #2814C22semidirect
95. #2814C22semidirect
96. #2814C22semidirect
97. #2814C22semidirect
98. #2814C22semidirect
99. #2814C22semidirect
100. #2814C22semidirect
101. #2814C22semidirect
104. #2813C22semidirect
105. #2813C22semidirect
106. #2726C22semidirect
107. #2725C22semidirect
108. #2722C22semidirect
109. #2722C22semidirect
110. #2715C22semidirect
111. #2715C22semidirect
112. #2715C22semidirect
113. #2712C22semidirect
114. #2707C22semidirect
115. #2704C22semidirect
116. #2704C22semidirect
117. #2702C22semidirect
118. #2695C22semidirect
119. #2695C22semidirect
120. #2695C22semidirect
121. #2693C22semidirect
122. #2691C22semidirect
123. #2691C22semidirect
124. #2683C22semidirect
125. #2681C22semidirect
126. #2676C22semidirect
127. #2672C22semidirect
128. #2672C22semidirect
129. #2671C22semidirect
130. #2664C22semidirect
131. #2664C22semidirect
132. #2664C22semidirect
133. #2662C22semidirect
134. #2659C22semidirect
135. #2659C22semidirect
136. #2639C22semidirect
137. #2639C22semidirect
138. #2637C22semidirect
139. #2637C22semidirect
141. #2630C22semidirect
142. #2630C22semidirect
143. #2630C22semidirect
144. #2630C22semidirect
145. #2629C22semidirect
146. #2629C22semidirect
147. #2628C22semidirect
148. #2628C22semidirect
149. #2627C22semidirect
150. #2627C22semidirect
151. #2626C22semidirect
152. #2625C22semidirect
153. #2625C22semidirect
154. #2625C22semidirect
156. #2624C22semidirect
157. #2621C22semidirect
158. #2621C22semidirect
159. #2621C22semidirect
161. #2620C22semidirect
162. #2618C22semidirect
163. #2618C22semidirect
164. #2618C22semidirect
165. #2618C22semidirect
167. #2617C22semidirect
168. #2617C22semidirect
169. #2616C22semidirect
170. #2616C22semidirect
171. #2615C22semidirect
172. #2601C22semidirect
173. #2592C22semidirect
174. #2584C22semidirect
175. #2582C22semidirect
176. #2581C22semidirect
177. #2580C22semidirect
178. #2579C22semidirect
179. #2567C22semidirect
180. #2565C22semidirect
181. #2564C22semidirect
182. #2564C22semidirect
183. #2563C22semidirect
184. #2547C22semidirect
185. #2547C22semidirect
186. #2546C22semidirect
187. #2545C22semidirect
189. #2543C22semidirect
190. #2543C22semidirect
191. #2543C22semidirect
192. #2538C22semidirect
194. #2536C22semidirect
195. #2535C22semidirect
196. #2535C22semidirect
198. #2534C22semidirect
199. #2498C22semidirect
200. #2498C22semidirect
201. #2486C22semidirect
202. #2486C22semidirect
203. #2486C22semidirect
204. #2485C22semidirect
205. #2485C22semidirect
206. #2453C22semidirect
207. #2452C22semidirect
208. #2451C22semidirect
209. #2451C22semidirect
210. #2450C22semidirect
211. #2450C22semidirect
212. #2449C22semidirect
213. #2449C22semidirect
214. #2442C22semidirect
215. #2440C22semidirect
216. #2440C22semidirect
217. #2439C22semidirect
218. #2438C22semidirect
219. #2438C22semidirect
220. #2438C22semidirect
221. #2437C22semidirect
222. #2430C22semidirect
223. #2430C22semidirect
224. #2429C22semidirect
225. #2429C22semidirect
228. #2427C22semidirect
229. #2427C22semidirect
230. #2427C22semidirect
231. #2426C22semidirect
233. #2425C22semidirect
234. #2425C22semidirect
235. #2425C22semidirect
236. #2425C22semidirect
237. #2425C22semidirect
239. #2424C22semidirect
240. #2417C22semidirect
241. #2417C22semidirect
242. #2417C22semidirect
243. #2417C22semidirect
244. #2417C22semidirect
246. #2416C22semidirect
247. #2416C22semidirect
249. #2415C22semidirect
250. #2415C22semidirect
251. #2415C22semidirect
253. #2413C22semidirect
254. #2413C22semidirect
256. #2412C22semidirect
257. #2412C22semidirect
258. #2412C22semidirect
259. #2411C22semidirect
261. #2409C22semidirect
262. #2409C22semidirect
263. #2407C22semidirect
264. #2396C22semidirect
265. #2396C22semidirect
266. #2396C22semidirect
268. #2392C22semidirect
269. #2392C22semidirect
270. #2392C22semidirect
271. #2392C22semidirect
272. C2×#398C22semidirect
273. C2×#398C22semidirect
274. C2×#397C22semidirect
275. C2×#397C22semidirect
276. C2×#396C22semidirect
277. C2×#395C22semidirect
279. C2×#393C22semidirect
283. #2349C22semidirect
284. #2349C22semidirect
285. #2349C22semidirect
286. #2349C22semidirect
289. D4×C4⋊C4C22semidirect
290. D4×C4⋊C4C22semidirect
295. #2316C22semidirect
296. #2315C22semidirect
297. #2285C22semidirect
298. #2285C22semidirect
299. C2×#380C22semidirect
300. C2×#380C22semidirect
463. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
C2×#35132
#426752
#426492
#426452
#424772
#424412
#424402
#424282
#424242
#414052
#413732
#413692
#405872
#405192
#405182
#404932
#404892
#376332
#376222
#375532
#374522
#374442
#374422
#366842
C2×#28142
#360202
#360092
#358212
#358062
#357612
#357392
#357022
#341812