Finite Group Databasebeta

← #7720065

Subgroups — #7720065

Order 512.

7619 conjugacy classes of subgroups.

The subgroup lattice has 2100 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3546C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#50684C214yesmaximal, complemented
4#50681C214yesmaximal, complemented
5#50641C214yesmaximal, complemented
6#50640C214yesmaximal, complemented
7#45423C212yesmaximal, complemented
8#45422C212yesmaximal, complemented
9#45313C212yesmaximal, complemented
10#45258C212yesmaximal, complemented
11#45244C212yesmaximal, complemented
12#45105C212yesmaximal, complemented
13#45057C212yesmaximal, complemented
14#44886C212yesmaximal, complemented
15#39342C211yesmaximal, characteristic, complemented
16#39341C212yesmaximal, complemented
17#39340C211yesmaximal, characteristic, complemented
18#39334C212yesmaximal, complemented
19#39138C211yesmaximal, characteristic, complemented
20#39136C211yesmaximal, characteristic, complemented
21#38033C212yesmaximal, complemented
22#38024C212yesmaximal, complemented
23#37278C212yesmaximal, complemented
24#37277C212yesmaximal, complemented
25#36579C211yesmaximal, characteristic, complemented
26#36576C211yesmaximal, characteristic, complemented
27#36404C211yesmaximal, characteristic, complemented
28#36258C211yesmaximal, characteristic, complemented
29#35273C211yesmaximal, characteristic, complemented
30#35273C211yesmaximal, characteristic, complemented
31#35258C212yesmaximal, complemented
32#35256C212yesmaximal, complemented
33#35190C211yesmaximal, characteristic, complemented
34#34609C211yesmaximal, characteristic, complemented
35#34384C211yesmaximal, characteristic, complemented
36#3546—216no—
37C2×#560C2214yes—
38#3480—216no—
39C2×#559C2211yescharacteristic
40C2×#559C2212yescomplemented
41C2×#557C2211yescharacteristic, complemented
42C2×#556C2211yescharacteristic
43C2×#556C2211yescharacteristic, complemented
44C2×#556C2212yescomplemented
45C2×#553C2212yes—
46C2×#553C2211yescharacteristic
47C2×#553C2211yescharacteristic, complemented
48C2×#553C2212yescomplemented
49C2×#553C2212yescomplemented
50C2×#550C2212yes—
51C2×#550C2211yescharacteristic
52C2×#550C2211yescharacteristic
53C2×#548C2211yescharacteristic
54C2×#548C2211yescharacteristic, complemented
55C2×#548C2212yescomplemented
56C2×#547C2211yescharacteristic
57C2×#546C2212yes—
58C2×#546C2212yes—
59C2×#546C2212yes—
60C2×D42C2211yescharacteristic
61C2×#542C2212yes—
62C2×#538C2214yes—
63C2×#537C2212yes—
64C2×#537C2212yescomplemented
65C2×#537C2212yescomplemented
66C2×#537C2212yescomplemented
67C2×#535C2212yes—
68C2×#535C2212yes—
69C2×#535C2212yes—
70C2×#532C2211yescharacteristic
71C2×#532C2211yescharacteristic
72C2×#532C2211yescharacteristic
73C2×#532C2212yescomplemented
74C2×#529C2211yescharacteristic
75C2×#529C2212yescomplemented
76C2×#529C2212yescomplemented
77C2×#529C2211yescharacteristic, complemented
78C2×C4×#41C2211yescharacteristic
79C2×C4×#41C2211yescharacteristic, complemented
80C2×C4×#41C2211yescharacteristic, complemented
81C2×C4×#41C2212yescomplemented
82C22×C4×Q8C2211yescharacteristic, complemented
83#2857C2211yescharacteristic, complemented
84#2857C2212yescomplemented
85#2857C2211yescharacteristic, complemented
86#2856C2212yes—
87#2856C2211yescharacteristic
88#2856C2211yescharacteristic
89#2856C2212yescomplemented
90#2855C2212yescomplemented
91#2854C2212yes—
92#2850C2212yes—
93#2850C2212yescomplemented
94#2850C2212yescomplemented
95#2727C2214yescomplemented
96#2725C2214yescomplemented
97#2715C2214yescomplemented
98#2714C2214yescomplemented
99#2714C2214yescomplemented
100#2711C2214yescomplemented
101#2709C2214yescomplemented
102#2707C2214yescomplemented
103#2705C2214yescomplemented
104#2705C2214yescomplemented
105#2705C2214yescomplemented
106#2703C2214yescomplemented
107#2702C2214yescomplemented
108#2693C2214yescomplemented
109#2691C2214yescomplemented
110#2685C2214yescomplemented
111#2683C2214yescomplemented
112#2678C2214yescomplemented
113#2676C2214yescomplemented
114#2676C2214yescomplemented
115#2676C2214yescomplemented
116#2676C2214yescomplemented
117#2676C2214yescomplemented
118#2675C2214yescomplemented
119#2675C2214yescomplemented
120#2674C2214yescomplemented
121#2673C2214yescomplemented
122#2673C2214yescomplemented
123#2673C2214yescomplemented
124#2673C2214yescomplemented
125#2672C2214yescomplemented
126#2672C2214yescomplemented
127#2672C2214yescomplemented
128#2671C2214yescomplemented
129#2670C2214yes—
130#2670C2214yescomplemented
131#2669C2214yes—
132#2669C2214yescomplemented
133#2669C2214yescomplemented
134#2668C2214yescomplemented
135#2635C2212yescomplemented
136#2635C2212yescomplemented
137#2635C2214yescomplemented
138#2632C2212yescomplemented
139#2631C2212yescomplemented
140#2628C2211yescharacteristic, complemented
141#2628C2211yescharacteristic, complemented
142#2624C2211yescharacteristic
143#2624C2211yescharacteristic, complemented
144#2620C2212yes—
145#2620C2212yescomplemented
146#2620C2212yescomplemented
147#2620C2214yescomplemented
148#2619C2211yescharacteristic
149#2619C2211yescharacteristic
150#2619C2212yescomplemented
151#2616C2212yescomplemented
152#2615C2211yescharacteristic
153#2615C2212yes—
154#2615C2211yescharacteristic, complemented
155#2598C2214yescomplemented
156#2592C2212yes—
157#2581C2212yescomplemented
158#2568C2211yescharacteristic, complemented
159#2559C2214yescomplemented
160#2555C2214yescomplemented
161#2555C2214yescomplemented
162#2548C2211yescharacteristic
163#2548C2212yescomplemented
164#2542C2211yescharacteristic, complemented
165#2541C2212yes—
166#2541C2211yescharacteristic
167#2541C2212yescomplemented
168#2541C2214yescomplemented
169#2541C2212yescomplemented
170#2540C2212yes—
171#2538C2211yescharacteristic
172#2538C2212yescomplemented
173#2538C2212yescomplemented
174#2538C2211yescharacteristic, complemented
175#2538C2212yescomplemented
176#2538C2212yescomplemented
177#2538C2212yescomplemented
178#2538C2212yescomplemented
179#2537C2212yes—
180#2537C2211yescharacteristic
181#2537C2212yescomplemented
182#2537C2212yescomplemented
183#2537C2211yescharacteristic, complemented
184#2537C2212yescomplemented
185#2535C2212yescomplemented
186#2534C2214yescomplemented
187#2500C2212yescomplemented
188#2491C2212yes—
189#2490C2212yescomplemented
190#2481C2214yescomplemented
191#2472C2214yescomplemented
192#2470C2214yescomplemented
193#2469C2214yescomplemented
194#2469C2214yescomplemented
195#2467C2214yescomplemented
196#2467C2214yescomplemented
197#2465C2214yescomplemented
198#2463C2214yescomplemented
199#2461C2214yescomplemented
200#2460C2214yescomplemented
201#2459C2214yescomplemented
202#2457C2214yescomplemented
203#2457C2214yescomplemented
204#2455C2214yescomplemented
205#2452C2214yescomplemented
206#2441C2212yescomplemented
207#2440C2212yescomplemented
208#2437C2214yescomplemented
209#2433C2212yes—
210#2431C2212yescomplemented
211#2431C2212yescomplemented
212#2428C2212yes—
213#2428C2214yescomplemented
214#2428C2214yescomplemented
215#2428C2214yescomplemented
216#2428C2214yescomplemented
217#2428C2214yescomplemented
218#2426C2212yes—
219#2426C2212yescomplemented
220#2426C2212yescomplemented
221#2426C2214yescomplemented
222#2426C2214yescomplemented
223#2426C2214yescomplemented
224#2424C2214yes—
225#2424C2214yescomplemented
226#2424C2214yescomplemented
227#2424C2214yescomplemented
228#2424C2214yescomplemented
229#2424C2214yescomplemented
230#2424C2214yescomplemented
231#2421C2212yescomplemented
232#2420C2212yes—
233#2417C2212yescomplemented
234#2416C2212yes—
235#2416C2212yes—
236#2416C2212yescomplemented
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2416C2212yescomplemented
241#2416C2212yescomplemented
242#2416C2214yescomplemented
243#2416C2212yescomplemented
244#2416C2214yescomplemented
245#2415C2212yescomplemented
246#2414C2212yes—
247#2414C2212yes—
248#2414C2212yescomplemented
249#2412C2214yescomplemented
250#2411C2214yes—
251#2409C2212yescomplemented
252#2408C2212yes—
253#2408C2212yes—
254#2408C2212yes—
255#2407C2212yes—
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2407C2212yescomplemented
259#2407C2212yescomplemented
260#2407C2212yescomplemented
261#2398C2212yescomplemented
262#2397C2212yescomplemented
263#2388C2212yescomplemented
264#2388C2212yescomplemented
265#2383C2214yescomplemented
266#2362C2212yescomplemented
267#2361C2212yes—
268#2360C2212yescomplemented
269#2360C2212yescomplemented
270#2355C2211yescharacteristic, complemented
271#2354C2211yescharacteristic
272#2352C2212yescomplemented
273#2352C2212yescomplemented
274#2352C2212yescomplemented
275Q8×C4⋊C4C2211yescharacteristic, complemented
276D4×C4⋊C4C2211yescharacteristic
277D4×C4⋊C4C2212yescomplemented
278#2341C2212yescomplemented
279D4×C22⋊C4C2212yes—
280#2330C2212yescomplemented
281#2328C2212yescomplemented
282#2326C2212yes—
283#2326C2212yescomplemented
284#2324C2212yescomplemented
285#2323C2212yescomplemented
286#2322C2214yescomplemented
287#2317C2212yescomplemented
288#2314C2212yescomplemented
289#2311C2212yescomplemented
290#2311C2212yescomplemented
291C4×C22⋊Q8C2212yescomplemented
292C4×#121C2211yescharacteristic
293C4×#121C2211yescharacteristic
294C4×#121C2211yescharacteristic, complemented
295C4×#121C2211yescharacteristic, complemented
296C4×#121C2212yescomplemented
297#2297C2212yescomplemented
298C2×#390C2212yes—
299C2×#384C2211yescharacteristic, complemented
300#2283C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C22×#41C2312yes—
309C23×Q8C2311yescharacteristic
310C23×D4C2312yes—
311C23×D4C2312yes—
312#560—232no—
313#559—28no—
314#559—216no—
315#557—28no—
316#556—216no—
317#556—28no—
318#556—28no—
319#553—216no—
320#553—216no—
321#553—28no—
322#553—216no—
323#553—28no—
324#550—28no—
325#550—28no—
326#550—216no—
327#548—28no—
328#548—28no—
329#548—48no—
330#547—28no—
331#546—216no—
332#546—216no—
333#546—48no—
334D42—28no—
335#542—216no—
336#538—232no—
337#537—216no—
338#537—48no—
339#537—48no—
340#537—48no—
341#535—216no—
342#535—216no—
343#535—48no—
344#532—28no—
345#532—216no—
346#532—28no—
347#532—28no—
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2311yescharacteristic
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2311yescharacteristic
352C2×#127C2311yescharacteristic
353C2×#127C2311yescharacteristic
354C2×#127C2312yes—
355C2×#127C2312yes—
356C2×#127C2314yes—
357C2×#127C2311yescharacteristic
358C2×#127C2312yes—
359C2×#127C2314yes—
360C2×#127C2314yes—
361#529—28no—
362#529—216no—
363#529—216no—
364#529D4116yescomplemented
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2312yes—
368C2×#126C2312yes—
369C2×#126C2312yes—
370C2×#126C2314yes—
371C2×#126C2314yes—
372C2×#126C2312yes—
373C2×#125C2311yescharacteristic
374C2×#125C2312yes—
375C2×#125C2312yes—
376C2×#125C2311yescharacteristic
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2311yescharacteristic
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2314yes—
388C2×#124C2314yes—
389C2×#124C2314yes—
390C2×#124C2311yescharacteristic
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2314yes—
437C2×#121C2312yes—
438C2×#121C2314yes—
439C2×#121C2312yes—
440C2×#121C2314yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2314yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2314yes—
455C2×#121C2311yescharacteristic
456C2×#121C2311yescharacteristic
457C2×#121C2314yes—
458C2×#121C2314yes—
459C2×#121C2314yes—
460C2×#121C2312yes—
461C2×#121C2314yes—
462C2×#121C2314yes—
463C2×#121C2314yes—
464C2×#121C2314yes—
465C2×#121C2312yes—
466C2×#121C2314yes—
467C2×#121C2314yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×#121C2314yes—
471C2×#121C2314yes—
472C2×#121C2311yescharacteristic
473C2×#120C2314yes—
474C2×#120C2314yes—
475C2×#120C2314yes—
476C2×#120C2314yes—
477C2×#120C2314yes—
478C2×#120C2314yes—
479C2×#120C2314yes—
480C2×#120C2314yes—
481C4×#41—28no—
482C4×#41—216no—
483C4×#41—28no—
484C4×#41—28no—
485C2×C4×Q8—28no—
486C2×C4×Q8C2311yescharacteristic
487C2×C4×Q8C2312yes—
488C2×C4×Q8C2312yes—
489C2×C4×Q8C2311yescharacteristic
490C2×C4×Q8C2311yescharacteristic
491C2×C4×Q8C2311yescharacteristic
492C2×C4×Q8C2311yescharacteristic
493C2×C4×Q8C2311yescharacteristic
494C2×C4×Q8C2311yescharacteristic
495C2×C4×Q8C2312yes—
496C2×C4×Q8C2312yes—
497C2×C4×Q8C2312yes—
498C2×C4×Q8C2312yes—
499C2×C4×Q8C2311yescharacteristic
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2312yes—
505C2×C4×D4C2311yescharacteristic
506C2×C4×D4C2311yescharacteristic
507C2×C4×D4C2312yes—
508C2×C4×D4C2311yescharacteristic
509C2×C4×D4C2311yescharacteristic
510C2×C4×D4C2311yescharacteristic
511C2×C4×D4C2311yescharacteristic
512C2×C4×D4C2312yes—
513C2×C4×D4C2312yes—
514C2×C4×D4C2312yes—
515C2×C4×D4C2312yes—
516C2×C4×D4C2311yescharacteristic
517C2×C4×D4C2312yes—
518C2×C4×D4C2312yes—
519C2×C4×D4C2312yes—
520C2×C4×D4C2312yes—
521C2×C4×D4C2312yes—
522C2×C4×D4C2312yes—
523C2×C4×D4C2312yes—
524C2×C4×D4C2312yes—
525C2×C4×D4C2311yescharacteristic
526C2×C4×D4C2311yescharacteristic
527C2×C4×D4C2314yes—
528C2×C4×D4C2312yes—
529C2×C4×D4C2312yes—
530C2×C4×D4C2312yes—
531C2×C4×D4C2312yes—
532C2×C4×D4C2312yes—
533C2×C4×D4C2314yes—
534C2×C4×D4C2314yes—
535C2×C4×D4C2311yescharacteristic
536C2×C4×D4C2312yes—
537C2×#117C2311yescharacteristic
538C2×#117C2311yescharacteristic
539C2×#117C2312yes—
540C2×#117C2312yes—
541C2×#117C2311yescharacteristic
542C2×#117C2312yes—
543C2×#117C2311yescharacteristic
544C2×#117C2311yescharacteristic
545C2×#117C2312yes—
546C2×#117C2312yes—
547C2×#117C2312yes—
548C22×C4⋊C4C2311yescharacteristic
549C22×C4⋊C4C2312yes—
550C22×C4⋊C4C2312yes—
551C22×C4⋊C4C2312yes—
552C22×C4⋊C4C2312yes—
553C22×C4⋊C4C2312yes—
554C22×C4⋊C4C2312yes—
555C22×C22⋊C4C2314yes—
556C22×C22⋊C4C2314yes—
557C22×C22⋊C4C2314yes—
558C22×C42C2312yes—
559C22×C42C2312yes—
560C22×C42C2312yes—
561C22×C42C2311yescharacteristic
562C22×C42C2311yescharacteristic
563C22×C42C2311yescharacteristic
564#400C2314yes—
565#400C2314yes—
566#400C2312yes—
567#400C2312yes—
568#399C2314yes—
569#399C2312yes—
570#399C2312yes—
571#399C2312yes—
572#399C2312yes—
573#399C2314yes—
574#398C2314yes—
575#397C2314yes—
576#397C2312yes—
577#397C2312yes—
578#397C2314yes—
579#397C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#396C2314yes—
596#395C2314yes—
597#395C2314yes—
598#395C2312yes—
599#395C2312yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#393C2314yes—
636#393C2312yes—
637#393C2314yes—
638#393C2312yes—
639#393C2312yes—
640#393C2312yes—
641#392C2314yes—
642#392C2312yes—
643#392C2312yes—
644#392C2312yes—
645#392C2314yes—
646#392C2314yes—
647#392C2314yes—
648#392C2312yes—
649#392C2312yes—
650#392C2312yes—
651#392C2312yes—
652#392C2312yes—
653#392C2312yes—
654#392C2312yes—
655#392C2314yes—
656#392C2314yes—
657#392C2314yes—
658#392C2314yes—
659#392C2314yes—
660#392C2314yes—
661#392C2314yes—
662#392C2314yes—
663#392C2314yes—
664#392C2314yes—
665#392C2314yes—
666#392C2314yes—
667#392C2314yes—
668#391C2312yes—
669#391C2312yes—
670#391C2314yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#390C2312yes—
676#390C2312yes—
677#390C2314yes—
678#390C2314yes—
679#390C2312yes—
680#390C2312yes—
681#390C2312yes—
682#390C2312yes—
683#390C2311yescharacteristic
684#390C2312yes—
685#390C2312yes—
686#390C2312yes—
687#390C2312yes—
688#390C2312yes—
689#390C2314yes—
690#390C2314yes—
691#390C2312yes—
692#390C2312yes—
693#390C2312yes—
694#390C2314yes—
695#390C2314yes—
696#390C2311yescharacteristic
697#390C2311yescharacteristic
698#390C2311yescharacteristic
699#390C2314yes—
700#390C2314yes—
701#390C2314yes—
702#390C2314yes—
703#390C2314yes—
704#390C2314yes—
705#390C2314yes—
706#389C2314yes—
707#389C2314yes—
708#389C2314yes—
709#389C2311yescharacteristic
710#389C2314yes—
711#389C2311yescharacteristic
712#389C2311yescharacteristic
713#389C2312yes—
714#389C2312yes—
715#389C2314yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2314yes—
722#389C2312yes—
723#389C2314yes—
724#389C2311yescharacteristic
725#389C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2314yes—
749#388C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2314yes—
757#387C2314yes—
758#387C2314yes—
759#387C2314yes—
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#386C2314yes—
776#386C2314yes—
777#386C2312yes—
778#386C2312yes—
779#386C2312yes—
780#386C2312yes—
781#386C2314yes—
782#386C2314yes—
783#386C2314yes—
784#386C2314yes—
785#386C2314yes—
786#386C2314yes—
787#386C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#385C2314yes—
796#385C2314yes—
797#385C2314yes—
798#385C2314yes—
799#385C2314yes—
800#384C2312yes—
801#384C2312yes—
802#384C2312yes—
803#384C2312yes—
804#384C2311yescharacteristic
805#384C2311yescharacteristic
806#384C2312yes—
807#383C2312yes—
808#382C2312yes—
809#382C2311yescharacteristic
810#382C2311yescharacteristic
811#382C2312yes—
812#381C2312yes—
813#381C2314yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2314yes—
819#380C2314yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2314yes—
825#380C2312yes—
826#380C2312yes—
827#380C2312yes—
828#380C2314yes—
829#380C2312yes—
830#380C2311yescharacteristic
831#380C2311yescharacteristic
832#380C2311yescharacteristic
833#380C2311yescharacteristic
834#380C2311yescharacteristic
835#380C2311yescharacteristic
836#380C2314yes—
837#379C2314yes—
838#379C2314yes—
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2312yes—
843C4×C4⋊C4C2312yes—
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2314yes—
852C4×C22⋊C4C2312yes—
853C4×C22⋊C4C2312yes—
854C4×C22⋊C4C2314yes—
855C4×C22⋊C4C2312yes—
856#376C2312yes—
857C25C2414yes—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—28no—
863C2×#41—24no—
864C2×#41—24no—
865C2×#41—28no—
866C2×#41—28no—
867C2×#41—28no—
868C2×#41—28no—
869C2×#41—24no—
870C2×#41—44no—
871C2×#41—42no—
872C2×#41—44no—
873C2×#41—44no—
874C2×#41—42no—
875C2×#41—42no—
876C2×#41—44no—
877C2×#41—44no—
878C2×#41—44no—
879C2×#41—44no—
880C2×#41—44no—
881C2×#41—44no—
882C22×Q8—24no—
883C22×Q8—24no—
884C22×Q8—42no—
885C22×Q8C2412yes—
886C22×Q8C2412yes—
887C22×Q8C2411yescharacteristic
888C22×Q8C2412yes—
889C22×Q8C2411yescharacteristic
890C22×Q8C2411yescharacteristic
891C22×Q8C2412yes—
892C22×D4—28no—
893C22×D4—28no—
894C22×D4—44no—
895C22×D4—44no—
896C22×D4—44no—
897C22×D4—44no—
898C22×D4C2411yescharacteristic
899C22×D4C2411yescharacteristic
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2411yescharacteristic
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2411yescharacteristic
907C22×D4C2411yescharacteristic
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2411yescharacteristic
911C22×D4C2411yescharacteristic
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2412yes—
915C22×D4C2412yes—
916C22×D4C2414yes—
917C22×D4C2414yes—
918C22×D4C2412yes—
919C22×D4C2412yes—
920C22×D4C2412yes—
921C22×D4C2414yes—
922C22×D4C2412yes—
923C22×D4C2414yes—
924C22×D4C2414yes—
925C22×D4C2414yes—
926C22×D4C2414yes—
927C22×D4C2412yes—
928C22×D4C2412yes—
929C22×D4C2412yes—
930C22×D4C2414yes—
931C22×D4C2414yes—
932C22×D4C2414yes—
933C22×D4C2414yes—
934C22×D4C2414yes—
935C22×D4C2412yes—
936C23×C4C2411yescharacteristic
937C23×C4C2412yes—
938C23×C4C2411yescharacteristic
939C23×C4C2412yes—
940C23×C4C2411yescharacteristic
941C23×C4C2412yes—
942C23×C4C2412yes—
943C23×C4C2412yes—
944C23×C4C2412yes—
945C23×C4C2411yescharacteristic
946C23×C4C2411yescharacteristic
947C23×C4C2412yes—
948C23×C4C2411yescharacteristic
949C23×C4C2412yes—
950C23×C4C2414yes—
951C23×C4C2414yes—
952C23×C4C2412yes—
953C23×C4C2411yescharacteristic
954C23×C4C2414yes—
955C23×C4C2412yes—
956C23×C4C2411yescharacteristic
957C23×C4C2414yes—
958C23×C4C2414yes—
959C23×C4C2411yescharacteristic
960C4⋊Q8—28no—
961C4⋊Q8—24no—
962C4⋊Q8—24no—
963C4⋊Q8—24no—
964#127—28no—
965#127—24no—
966#127—216no—
967#127—24no—
968#127—24no—
969#127—28no—
970#127—44no—
971#127—48no—
972#127—84no—
973#126—28no—
974#126—28no—
975#126—28no—
976#126—216no—
977#126—216no—
978#126—28no—
979#126—28no—
980#126C2×D4116yes—
981#125—28no—
982#125—28no—
983#125—24no—
984#125C2×D418yes—
985#124—24no—
986#124—28no—
987#124—28no—
988#124—28no—
989#124—28no—
990#124—28no—
991#124—28no—
992#124—216no—
993#124—28no—
994#124—28no—
995#124—28no—
996#124—48no—
997#124—48no—
998#124C2×D418yes—
999#123—28no—
1000#123—28no—
1001#123—28no—
1002#123—216no—
1003#123—28no—
1004#123—28no—
1005#123—216no—
1006#123—216no—
1007#123—48no—
1008#123C2×D4116yes—
1009C22⋊Q8—24no—
1010C22⋊Q8—28no—
1011C22⋊Q8—28no—
1012C22⋊Q8—28no—
1013C22⋊Q8—28no—
1014C22⋊Q8—28no—
1015C22⋊Q8—28no—
1016C22⋊Q8—216no—
1017C22⋊Q8—28no—
1018C22⋊Q8—48no—
1019C22⋊Q8—48no—
1020C22⋊Q8—48no—
1021C22⋊Q8—48no—
1022C22⋊Q8—44no—
1023C22⋊Q8—44no—
1024C22⋊Q8—44no—
1025C22⋊Q8C2×D418yes—
1026#121—28no—
1027#121—24no—
1028#121—28no—
1029#121—28no—
1030#121—28no—
1031#121—24no—
1032#121—24no—
1033#121—28no—
1034#121—28no—
1035#121—28no—
1036#121—24no—
1037#121—28no—
1038#121—24no—
1039#121—24no—
1040#121—24no—
1041#121—28no—
1042#121—216no—
1043#121—28no—
1044#121—216no—
1045#121—28no—
1046#121—216no—
1047#121—28no—
1048#121—28no—
1049#121—28no—
1050#121—28no—
1051#121—216no—
1052#121—216no—
1053#121—216no—
1054#121—48no—
1055#121—48no—
1056#121—48no—
1057#121—48no—
1058#121—48no—
1059#121—48no—
1060#121—48no—
1061#121—48no—
1062#121—48no—
1063#121—48no—
1064#121—48no—
1065#121—42no—
1066#121—44no—
1067#121—42no—
1068#121—44no—
1069#121—44no—
1070#121—44no—
1071#121—44no—
1072#121—44no—
1073#121—44no—
1074#121—44no—
1075#121—44no—
1076#121—82no—
1077#121—84no—
1078#121—84no—
1079#121—82no—
1080#121C2×D418yes—
1081#120—216no—
1082#120—216no—
1083#120—216no—
1084#120—216no—
1085#120—48no—
1086#120—48no—
1087#120—48no—
1088#120—84no—
1089C4×Q8—24no—
1090C4×Q8—24no—
1091C4×Q8—28no—
1092C4×Q8—24no—
1093C4×Q8—28no—
1094C4×Q8—28no—
1095C4×Q8—24no—
1096C4×Q8—28no—
1097C4×Q8—24no—
1098C4×Q8—24no—
1099C4×Q8—24no—
1100C4×Q8—28no—
1101C4×Q8—44no—
1102C4×Q8C2×D418yes—
1103C4×D4—24no—
1104C4×D4—28no—
1105C4×D4—28no—
1106C4×D4—24no—
1107C4×D4—24no—
1108C4×D4—24no—
1109C4×D4—28no—
1110C4×D4—24no—
1111C4×D4—28no—
1112C4×D4—28no—
1113C4×D4—28no—
1114C4×D4—216no—
1115C4×D4—28no—
1116C4×D4—28no—
1117C4×D4—28no—
1118C4×D4—28no—
1119C4×D4—28no—
1120C4×D4—24no—
1121C4×D4—24no—
1122C4×D4—24no—
1123C4×D4—24no—
1124C4×D4—28no—
1125C4×D4—28no—
1126C4×D4—24no—
1127C4×D4—28no—
1128C4×D4—28no—
1129C4×D4—24no—
1130C4×D4—28no—
1131C4×D4—44no—
1132C4×D4—44no—
1133C4×D4—44no—
1134C4×D4—44no—
1135C4×D4—44no—
1136C4×D4—48no—
1137C4×D4—84no—
1138C4×D4C2×D418yes—
1139C4×D4C2×D4116yes—
1140#117—24no—
1141#117—24no—
1142#117—24no—
1143#117—28no—
1144#117—28no—
1145#117—24no—
1146#117—28no—
1147#117—24no—
1148#117—28no—
1149#117—44no—
1150#117C2×D4116yes—
1151C2×C4⋊C4—28no—
1152C2×C4⋊C4—24no—
1153C2×C4⋊C4—28no—
1154C2×C4⋊C4—44no—
1155C2×C4⋊C4—44no—
1156C2×C4⋊C4—44no—
1157C2×C4⋊C4—82no—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C4⋊C4C2411yescharacteristic
1172C2×C4⋊C4C2411yescharacteristic
1173C2×C4⋊C4C2411yescharacteristic
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2411yescharacteristic
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2411yescharacteristic
1179C2×C4⋊C4C2411yescharacteristic
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2411yescharacteristic
1182C2×C4⋊C4C2411yescharacteristic
1183C2×C4⋊C4C2411yescharacteristic
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2414yes—
1190C2×C4⋊C4C2411yescharacteristic
1191C2×C4⋊C4C2414yes—
1192C2×C4⋊C4C2414yes—
1193C2×C4⋊C4C2411yescharacteristic
1194C2×C4⋊C4C2414yes—
1195C2×C4⋊C4C2414yes—
1196C2×C4⋊C4C2414yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2414yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2414yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2414yes—
1206C2×C4⋊C4C2414yes—
1207C2×C4⋊C4C2414yes—
1208C2×C4⋊C4C2414yes—
1209C2×C4⋊C4C2411yescharacteristic
1210C2×C4⋊C4C2411yescharacteristic
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C22⋊C4—216no—
1216C2×C22⋊C4—48no—
1217C2×C22⋊C4—84no—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2411yescharacteristic
1224C2×C22⋊C4C2411yescharacteristic
1225C2×C22⋊C4C2411yescharacteristic
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2411yescharacteristic
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2411yescharacteristic
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2411yescharacteristic
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2412yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2412yes—
1270C2×C22⋊C4C2412yes—
1271C2×C22⋊C4C2412yes—
1272C2×C22⋊C4C2414yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2414yes—
1275C2×C22⋊C4C2414yes—
1276C2×C22⋊C4C2414yes—
1277C2×C22⋊C4C2414yes—
1278C2×C22⋊C4C2414yes—
1279C2×C22⋊C4C2414yes—
1280C2×C22⋊C4C2414yes—
1281C2×C22⋊C4C2414yes—
1282C2×C22⋊C4C2414yes—
1283C2×C22⋊C4C2412yes—
1284C2×C22⋊C4C2412yes—
1285C2×C22⋊C4C2414yes—
1286C2×C22⋊C4C2414yes—
1287C2×C22⋊C4C2412yes—
1288C2×C22⋊C4C2412yes—
1289C2×C22⋊C4C2414yes—
1290C2×C22⋊C4C2412yes—
1291C2×C22⋊C4C2412yes—
1292C2×C22⋊C4C2412yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C42—28no—
1297C2×C42—28no—
1298C2×C42—24no—
1299C2×C42—24no—
1300C2×C42—28no—
1301C2×C42C2×D418yes—
1302C2×C42C2411yescharacteristic
1303C2×C42C2411yescharacteristic
1304C2×C42C2412yes—
1305C2×C42C2411yescharacteristic
1306C2×C42C2412yes—
1307C2×C42C2414yes—
1308C2×C42C2412yes—
1309C2×C42C2411yescharacteristic
1310C2×C42C2412yes—
1311C2×C42C2412yes—
1312C2×C42C2412yes—
1313C2×C42C2412yes—
1314C2×C42C2412yes—
1315C2×C42C2411yescharacteristic
1316C2×C42C2411yescharacteristic
1317C2×C42C2412yes—
1318C2×C42C2414yes—
1319C2×C42C2414yes—
1320C2×C42C2414yes—
1321C2×C42C2411yescharacteristic
1322C2×C42C2412yes—
1323C2×C42C2411yescharacteristic
1324C2×C42C2411yescharacteristic
1325C2×C42C2411yescharacteristic
1326#95C2412yes—
1327#95C2412yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2412yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2412yes—
1337#95C2414yes—
1338#95C2412yes—
1339#95C2412yes—
1340#95C2412yes—
1341#95C2414yes—
1342#95C2412yes—
1343#95C2412yes—
1344#95C2414yes—
1345#95C2414yes—
1346#95C2414yes—
1347#95C2412yes—
1348#95C2412yes—
1349#95C2414yes—
1350#95C2412yes—
1351#95C2412yes—
1352#95C2414yes—
1353#95C2414yes—
1354#95C2414yes—
1355#95C2414yes—
1356#95C2414yes—
1357#95C2414yes—
1358#95C2414yes—
1359#95C2414yes—
1360C24—28no—
1361C24—44no—
1362C24—44no—
1363C24—44no—
1364C24—44no—
1365C24—44no—
1366C24—44no—
1367C24C2512yes—
1368C24C2514yes—
1369C24C2511yescharacteristic
1370C24C2512yes—
1371C24C2512yes—
1372C24C2512yes—
1373C24C2511yescharacteristic
1374C24C2511yescharacteristic
1375#41—432no—
1376#41—416no—
1377#41—416no—
1378#41—416no—
1379#41—816no—
1380#41—816no—
1381#41—816no—
1382#41—816no—
1383C2×Q8—22no—
1384C2×Q8—24no—
1385C2×Q8—24no—
1386C2×Q8—22no—
1387C2×Q8—24no—
1388C2×Q8—24no—
1389C2×Q8—22no—
1390C2×Q8—24no—
1391C2×Q8—22no—
1392C2×Q8—24no—
1393C2×Q8—24no—
1394C2×Q8—22no—
1395C2×Q8—22no—
1396C2×Q8—24no—
1397C2×Q8—42no—
1398C2×Q8—41no—
1399C2×Q8—42no—
1400C2×Q8—42no—
1401C2×Q8—42no—
1402C2×Q8—416no—
1403C2×Q8C22×D414yes—
1404C2×Q8H(5,𝔽2)14yes—
1405C2×D4—24no—
1406C2×D4—22no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—22no—
1411C2×D4—24no—
1412C2×D4—22no—
1413C2×D4—22no—
1414C2×D4—24no—
1415C2×D4—24no—
1416C2×D4—24no—
1417C2×D4—28no—
1418C2×D4—28no—
1419C2×D4—28no—
1420C2×D4—24no—
1421C2×D4—24no—
1422C2×D4—28no—
1423C2×D4—24no—
1424C2×D4—24no—
1425C2×D4—22no—
1426C2×D4—22no—
1427C2×D4—24no—
1428C2×D4—22no—
1429C2×D4—24no—
1430C2×D4—22no—
1431C2×D4—24no—
1432C2×D4—24no—
1433C2×D4—28no—
1434C2×D4—24no—
1435C2×D4—24no—
1436C2×D4—28no—
1437C2×D4—28no—
1438C2×D4—22no—
1439C2×D4—24no—
1440C2×D4—24no—
1441C2×D4—22no—
1442C2×D4—24no—
1443C2×D4—22no—
1444C2×D4—24no—
1445C2×D4—22no—
1446C2×D4—22no—
1447C2×D4—24no—
1448C2×D4—22no—
1449C2×D4—22no—
1450C2×D4—24no—
1451C2×D4—22no—
1452C2×D4—22no—
1453C2×D4—24no—
1454C2×D4—42no—
1455C2×D4—42no—
1456C2×D4—41no—
1457C2×D4—42no—
1458C2×D4—41no—
1459C2×D4—42no—
1460C2×D4—42no—
1461C2×D4—42no—
1462C2×D4—41no—
1463C2×D4—42no—
1464C2×D4—42no—
1465C2×D4—42no—
1466C2×D4—44no—
1467C2×D4—42no—
1468C2×D4—42no—
1469C2×D4—42no—
1470C2×D4—42no—
1471C2×D4—44no—
1472C2×D4—44no—
1473C2×D4—42no—
1474C2×D4—42no—
1475C2×D4—44no—
1476C2×D4—44no—
1477C2×D4—42no—
1478C2×D4—42no—
1479C2×D4—42no—
1480C2×D4—42no—
1481C2×D4—42no—
1482C2×D4—44no—
1483C2×D4—44no—
1484C2×D4—44no—
1485C2×D4—42no—
1486C2×D4—42no—
1487C2×D4—44no—
1488C2×D4—44no—
1489C2×D4—42no—
1490C2×D4—42no—
1491C2×D4—44no—
1492C2×D4—42no—
1493C2×D4—42no—
1494C2×D4—42no—
1495C2×D4—42no—
1496C2×D4—42no—
1497C2×D4—44no—
1498C2×D4—42no—
1499C2×D4—42no—
1500C2×D4—44no—
1501C2×D4—44no—
1502C2×D4—44no—
1503C2×D4—44no—
1504C2×D4—44no—
1505C2×D4—44no—
1506C2×D4—44no—
1507C2×D4—44no—
1508C2×D4—44no—
1509C2×D4—44no—
1510C2×D4—44no—
1511C2×D4—44no—
1512C2×D4—44no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—44no—
1517C2×D4—816no—
1518C2×D4—816no—
1519C2×D4C22×D414yes—
1520C2×D4C22×D418yes—
1521C22×C4—22no—
1522C22×C4—22no—
1523C22×C4—22no—
1524C22×C4—24no—
1525C22×C4—24no—
1526C22×C4—22no—
1527C22×C4—22no—
1528C22×C4—22no—
1529C22×C4—24no—
1530C22×C4—24no—
1531C22×C4—24no—
1532C22×C4—22no—
1533C22×C4—22no—
1534C22×C4—24no—
1535C22×C4—24no—
1536C22×C4—22no—
1537C22×C4—24no—
1538C22×C4—24no—
1539C22×C4—24no—
1540C22×C4—24no—
1541C22×C4—22no—
1542C22×C4—22no—
1543C22×C4—24no—
1544C22×C4—24no—
1545C22×C4—24no—
1546C22×C4—24no—
1547C22×C4—22no—
1548C22×C4—22no—
1549C22×C4—22no—
1550C22×C4—24no—
1551C22×C4—24no—
1552C22×C4—22no—
1553C22×C4—24no—
1554C22×C4—24no—
1555C22×C4—22no—
1556C22×C4—24no—
1557C22×C4—22no—
1558C22×C4—28no—
1559C22×C4—28no—
1560C22×C4—28no—
1561C22×C4—41no—
1562C22×C4—41no—
1563C22×C4—42no—
1564C22×C4—42no—
1565C22×C4—42no—
1566C22×C4—42no—
1567C22×C4—44no—
1568C22×C4—44no—
1569C22×C4—44no—
1570C22×C4—42no—
1571C22×C4—41no—
1572C22×C4—42no—
1573C22×C4—41no—
1574C22×C4—41no—
1575C22×C4—42no—
1576C22×C4—41no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—44no—
1580C22×C4—44no—
1581C22×C4—44no—
1582C22×C4—44no—
1583C22×C4—44no—
1584C22×C4—44no—
1585C22×C4—44no—
1586C22×C4—44no—
1587C22×C4—44no—
1588C22×C4C22×D418yes—
1589C22×C4C22×D414yes—
1590C22×C4C22×D414yes—
1591C22×C4C22×D414yes—
1592C22×C4H(5,𝔽2)14yes—
1593C22×C4C2512yes—
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2511yescharacteristic
1598C22×C4C2511yescharacteristic
1599C22×C4C2512yes—
1600C22×C4C2514yes—
1601C22×C4C2514yes—
1602C22×C4C2512yes—
1603C22×C4C2514yes—
1604C22×C4C2512yes—
1605C22×C4C2511yescharacteristic
1606C22×C4C2511yescharacteristic
1607C22×C4C2512yes—
1608C22×C4C2511yescharacteristic
1609C22×C4C2512yes—
1610C22×C4C2511yescharacteristic
1611C22×C4C2511yescharacteristic
1612C22×C4C2512yes—
1613C22×C4C2511yescharacteristic
1614C22×C4C2512yes—
1615C22×C4C2511yescharacteristic
1616C22×C4C2511yescharacteristic
1617C22×C4C2512yes—
1618C22×C4C2511yescharacteristic
1619C22×C4C2511yescharacteristic
1620C4⋊C4—24no—
1621C4⋊C4—22no—
1622C4⋊C4—24no—
1623C4⋊C4—24no—
1624C4⋊C4—24no—
1625C4⋊C4—24no—
1626C4⋊C4—28no—
1627C4⋊C4—22no—
1628C4⋊C4—22no—
1629C4⋊C4—24no—
1630C4⋊C4—24no—
1631C4⋊C4—22no—
1632C4⋊C4—22no—
1633C4⋊C4—24no—
1634C4⋊C4—22no—
1635C4⋊C4—24no—
1636C4⋊C4—22no—
1637C4⋊C4—22no—
1638C4⋊C4—22no—
1639C4⋊C4—22no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—28no—
1645C4⋊C4—22no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—22no—
1651C4⋊C4—28no—
1652C4⋊C4—28no—
1653C4⋊C4—28no—
1654C4⋊C4—22no—
1655C4⋊C4—22no—
1656C4⋊C4—44no—
1657C4⋊C4—44no—
1658C4⋊C4—44no—
1659C4⋊C4—42no—
1660C4⋊C4—44no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—44no—
1667C4⋊C4—44no—
1668C4⋊C4—44no—
1669C4⋊C4—44no—
1670C4⋊C4—44no—
1671C4⋊C4C22×D414yes—
1672C4⋊C4C22×D414yes—
1673C4⋊C4C22×D418yes—
1674C4⋊C4C22×D418yes—
1675C4⋊C4C22×D418yes—
1676C4⋊C4C22×D418yes—
1677C22⋊C4—28no—
1678C22⋊C4—22no—
1679C22⋊C4—24no—
1680C22⋊C4—24no—
1681C22⋊C4—22no—
1682C22⋊C4—24no—
1683C22⋊C4—28no—
1684C22⋊C4—24no—
1685C22⋊C4—28no—
1686C22⋊C4—22no—
1687C22⋊C4—22no—
1688C22⋊C4—24no—
1689C22⋊C4—22no—
1690C22⋊C4—24no—
1691C22⋊C4—24no—
1692C22⋊C4—24no—
1693C22⋊C4—24no—
1694C22⋊C4—22no—
1695C22⋊C4—28no—
1696C22⋊C4—24no—
1697C22⋊C4—24no—
1698C22⋊C4—28no—
1699C22⋊C4—28no—
1700C22⋊C4—28no—
1701C22⋊C4—28no—
1702C22⋊C4—24no—
1703C22⋊C4—24no—
1704C22⋊C4—24no—
1705C22⋊C4—24no—
1706C22⋊C4—28no—
1707C22⋊C4—28no—
1708C22⋊C4—28no—
1709C22⋊C4—24no—
1710C22⋊C4—28no—
1711C22⋊C4—24no—
1712C22⋊C4—28no—
1713C22⋊C4—42no—
1714C22⋊C4—44no—
1715C22⋊C4—42no—
1716C22⋊C4—44no—
1717C22⋊C4—44no—
1718C22⋊C4—44no—
1719C22⋊C4—44no—
1720C22⋊C4—42no—
1721C22⋊C4—42no—
1722C22⋊C4—42no—
1723C22⋊C4—44no—
1724C22⋊C4—42no—
1725C22⋊C4—42no—
1726C22⋊C4—42no—
1727C22⋊C4—42no—
1728C22⋊C4—42no—
1729C22⋊C4—44no—
1730C22⋊C4—42no—
1731C22⋊C4—42no—
1732C22⋊C4—42no—
1733C22⋊C4—44no—
1734C22⋊C4—44no—
1735C22⋊C4—44no—
1736C22⋊C4—42no—
1737C22⋊C4—44no—
1738C22⋊C4—42no—
1739C22⋊C4—42no—
1740C22⋊C4—44no—
1741C22⋊C4—44no—
1742C22⋊C4—44no—
1743C22⋊C4—44no—
1744C22⋊C4—44no—
1745C22⋊C4—44no—
1746C22⋊C4—44no—
1747C22⋊C4—44no—
1748C22⋊C4—44no—
1749C22⋊C4—44no—
1750C22⋊C4C22×D418yes—
1751C22⋊C4C22×D418yes—
1752C22⋊C4C22×D418yes—
1753C22⋊C4C22×D418yes—
1754C22⋊C4C22×D418yes—
1755C42—22no—
1756C42—24no—
1757C42—22no—
1758C42—24no—
1759C42—22no—
1760C42—24no—
1761C42—24no—
1762C42—24no—
1763C42—22no—
1764C42—24no—
1765C42—22no—
1766C42—24no—
1767C42—22no—
1768C42—28no—
1769C42—24no—
1770C42—24no—
1771C42—44no—
1772C42—44no—
1773C42—44no—
1774C42C22×D414yes—
1775C42C22×D414yes—
1776C42C22×D418yes—
1777C42C22×D414yes—
1778C42C22×D414yes—
1779C23—21no—
1780C23—21no—
1781C23—22no—
1782C23—22no—
1783C23—21no—
1784C23—21no—
1785C23—21no—
1786C23—21no—
1787C23—21no—
1788C23—21no—
1789C23—22no—
1790C23—22no—
1791C23—21no—
1792C23—22no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—22no—
1797C23—21no—
1798C23—22no—
1799C23—22no—
1800C23—24no—
1801C23—22no—
1802C23—24no—
1803C23—22no—
1804C23—22no—
1805C23—22no—
1806C23—24no—
1807C23—22no—
1808C23—22no—
1809C23—21no—
1810C23—21no—
1811C23—22no—
1812C23—22no—
1813C23—21no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—24no—
1818C23—22no—
1819C23—21no—
1820C23—22no—
1821C23—24no—
1822C23—22no—
1823C23—24no—
1824C23—22no—
1825C23—21no—
1826C23—22no—
1827C23—22no—
1828C23—24no—
1829C23—21no—
1830C23—22no—
1831C23—22no—
1832C23—88no—
1833C23—88no—
1834C23—88no—
1835C23—88no—
1836C23—88no—
1837C23—164no—
1838C23—164no—
1839C23C23×D414yes—
1840C23C23×D412yes—
1841C23C2×H(5,𝔽2)12yes—
1842C23C2611yescharacteristic
1843Q8—28no—
1844Q8—28no—
1845Q8—48no—
1846Q8—44no—
1847Q8—48no—
1848Q8—48no—
1849Q8—84no—
1850D4—28no—
1851D4—48no—
1852D4—44no—
1853D4—48no—
1854D4—44no—
1855D4—48no—
1856D4—48no—
1857D4—48no—
1858D4—44no—
1859D4—48no—
1860D4—44no—
1861D4—48no—
1862D4—48no—
1863D4—44no—
1864D4—44no—
1865D4—84no—
1866D4—84no—
1867D4—84no—
1868D4—88no—
1869D4—88no—
1870D4—84no—
1871D4—88no—
1872D4—84no—
1873D4—84no—
1874D4—88no—
1875D4—84no—
1876D4—88no—
1877D4—84no—
1878D4—84no—
1879D4—88no—
1880D4—88no—
1881D4—84no—
1882D4—84no—
1883D4—164no—
1884D4—164no—
1885D4—164no—
1886D4—164no—
1887D4—164no—
1888C2×C4—21no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—22no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—22no—
1906C2×C4—216no—
1907C2×C4—28no—
1908C2×C4—28no—
1909C2×C4—28no—
1910C2×C4—21no—
1911C2×C4—21no—
1912C2×C4—22no—
1913C2×C4—21no—
1914C2×C4—21no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—21no—
1918C2×C4—24no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—24no—
1924C2×C4—24no—
1925C2×C4—24no—
1926C2×C4—24no—
1927C2×C4—22no—
1928C2×C4—24no—
1929C2×C4—21no—
1930C2×C4—22no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—21no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—21no—
1941C2×C4—22no—
1942C2×C4—21no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—24no—
1946C2×C4—22no—
1947C2×C4—24no—
1948C2×C4—21no—
1949C2×C4—22no—
1950C2×C4—21no—
1951C2×C4—22no—
1952C2×C4—24no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—21no—
1956C2×C4—21no—
1957C2×C4—22no—
1958C2×C4—44no—
1959C2×C4—48no—
1960C2×C4—48no—
1961C2×C4—48no—
1962C2×C4—48no—
1963C2×C4—44no—
1964C2×C4—44no—
1965C2×C4—48no—
1966C2×C4—44no—
1967C2×C4—48no—
1968C2×C4—84no—
1969C2×C4—82no—
1970C2×C4—82no—
1971C2×C4—84no—
1972C2×C4—88no—
1973C2×C4—88no—
1974C2×C4—88no—
1975C2×C4—84no—
1976C2×C4—164no—
1977C2×C4—164no—
1978C2×C4C23×D414yes—
1979C2×C4C23×D412yes—
1980C2×C4C23×D412yes—
1981C2×C4C23×D412yes—
1982C2×C4C23×D414yes—
1983C2×C4C23×D414yes—
1984C2×C4C23×D412yes—
1985C2×C4C23×D412yes—
1986C2×C4C23×D412yes—
1987C2×C4C2×H(5,𝔽2)14yes—
1988C2×C4C2×H(5,𝔽2)12yes—
1989C2×C4C2×H(5,𝔽2)12yes—
1990C2×C4C2×H(5,𝔽2)12yes—
1991C2×C4#58512yes—
1992C2×C4#58512yes—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—24no—
1997C22—24no—
1998C22—22no—
1999C22—24no—
2000C22—22no—
2001C22—22no—
2002C22—41no—
2003C22—41no—
2004C22—41no—
2005C22—42no—
2006C22—41no—
2007C22—41no—
2008C22—42no—
2009C22—41no—
2010C22—42no—
2011C22—41no—
2012C22—41no—
2013C22—42no—
2014C22—42no—
2015C22—41no—
2016C22—41no—
2017C22—42no—
2018C22—42no—
2019C22—42no—
2020C22—42no—
2021C22—44no—
2022C22—44no—
2023C22—42no—
2024C22—41no—
2025C22—42no—
2026C22—42no—
2027C22—44no—
2028C22—42no—
2029C22—42no—
2030C22—44no—
2031C22—41no—
2032C22—42no—
2033C22—42no—
2034C22—41no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—44no—
2039C22—42no—
2040C22—42no—
2041C22—44no—
2042C22—42no—
2043C22—41no—
2044C22—41no—
2045C22—42no—
2046C22—42no—
2047C22—44no—
2048C22—42no—
2049C22—1616no—
2050C22C24×D411yescharacteristic
2051C22C22×H(5,𝔽2)11yescharacteristic
2052C22C22×H(5,𝔽2)11yescharacteristic
2053C22C2×#58511yescharacteristic
2054C22C2×#58511yescharacteristic
2055C22H(7,𝔽2)11yescharacteristic
2056C222−1+611yescharacteristic
2057C4—22no—
2058C4—22no—
2059C4—24no—
2060C4—22no—
2061C4—24no—
2062C4—24no—
2063C4—22no—
2064C4—22no—
2065C4—24no—
2066C4—41no—
2067C4—42no—
2068C4—42no—
2069C4—41no—
2070C4—42no—
2071C4—41no—
2072C4—44no—
2073C4—42no—
2074C4—41no—
2075C4—41no—
2076C4—42no—
2077C4—44no—
2078C4—44no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4#348814yes—
2083C4#348814yes—
2084C2—42no—
2085C2—42no—
2086C2—44no—
2087C2—81no—
2088C2—82no—
2089C2—82no—
2090C2—84no—
2091C2—82no—
2092C2C2×#348811yescharacteristic
2093C2C2×#348811yescharacteristic
2094C2#6285311yescharacteristic
2095C2#6291611yescharacteristic
2096C2#6292211yescharacteristic
2097C2#6293111yescharacteristic
2098C2#6293811yescharacteristic
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×#3546C2semidirect
2. C2×#3480C2semidirect
3. #50684C2semidirect
4. #50681C2semidirect
5. #50641C2semidirect
6. #50640C2semidirect
7. #45423C2semidirect
8. #45422C2semidirect
9. #45313C2semidirect
10. #45258C2semidirect
11. #45244C2semidirect
12. #45105C2semidirect
13. #45057C2semidirect
14. #44886C2semidirect
15. #39342C2semidirect
16. #39341C2semidirect
17. #39340C2semidirect
18. #39334C2semidirect
19. #39138C2semidirect
20. #39136C2semidirect
21. #38033C2semidirect
22. #38024C2semidirect
23. #37278C2semidirect
24. #37277C2semidirect
25. #36579C2semidirect
26. #36576C2semidirect
27. #36404C2semidirect
28. #36258C2semidirect
29. #35273C2semidirect
30. #35273C2semidirect
31. #35258C2semidirect
32. #35256C2semidirect
33. #35190C2semidirect
34. #34609C2semidirect
35. #34384C2semidirect
40. C2×#559C22semidirect
41. C2×#557C22semidirect
43. C2×#556C22semidirect
44. C2×#556C22semidirect
47. C2×#553C22semidirect
48. C2×#553C22semidirect
49. C2×#553C22semidirect
54. C2×#548C22semidirect
55. C2×#548C22semidirect
64. C2×#537C22semidirect
65. C2×#537C22semidirect
66. C2×#537C22semidirect
73. C2×#532C22semidirect
75. C2×#529C22semidirect
76. C2×#529C22semidirect
77. C2×#529C22semidirect
79. C2×C4×#41C22semidirect
80. C2×C4×#41C22semidirect
81. C2×C4×#41C22semidirect
82. C22×C4×Q8C22semidirect
83. #2857C22semidirect
84. #2857C22semidirect
85. #2857C22semidirect
89. #2856C22semidirect
90. #2855C22semidirect
93. #2850C22semidirect
94. #2850C22semidirect
95. #2727C22semidirect
96. #2725C22semidirect
97. #2715C22semidirect
98. #2714C22semidirect
99. #2714C22semidirect
100. #2711C22semidirect
101. #2709C22semidirect
102. #2707C22semidirect
103. #2705C22semidirect
104. #2705C22semidirect
105. #2705C22semidirect
106. #2703C22semidirect
107. #2702C22semidirect
108. #2693C22semidirect
109. #2691C22semidirect
110. #2685C22semidirect
111. #2683C22semidirect
112. #2678C22semidirect
113. #2676C22semidirect
114. #2676C22semidirect
115. #2676C22semidirect
116. #2676C22semidirect
117. #2676C22semidirect
118. #2675C22semidirect
119. #2675C22semidirect
120. #2674C22semidirect
121. #2673C22semidirect
122. #2673C22semidirect
123. #2673C22semidirect
124. #2673C22semidirect
125. #2672C22semidirect
126. #2672C22semidirect
127. #2672C22semidirect
128. #2671C22semidirect
130. #2670C22semidirect
132. #2669C22semidirect
133. #2669C22semidirect
134. #2668C22semidirect
135. #2635C22semidirect
136. #2635C22semidirect
137. #2635C22semidirect
138. #2632C22semidirect
139. #2631C22semidirect
140. #2628C22semidirect
141. #2628C22semidirect
143. #2624C22semidirect
145. #2620C22semidirect
146. #2620C22semidirect
147. #2620C22semidirect
150. #2619C22semidirect
151. #2616C22semidirect
154. #2615C22semidirect
155. #2598C22semidirect
157. #2581C22semidirect
158. #2568C22semidirect
159. #2559C22semidirect
160. #2555C22semidirect
161. #2555C22semidirect
163. #2548C22semidirect
164. #2542C22semidirect
167. #2541C22semidirect
168. #2541C22semidirect
169. #2541C22semidirect
172. #2538C22semidirect
173. #2538C22semidirect
174. #2538C22semidirect
175. #2538C22semidirect
176. #2538C22semidirect
177. #2538C22semidirect
178. #2538C22semidirect
181. #2537C22semidirect
182. #2537C22semidirect
183. #2537C22semidirect
184. #2537C22semidirect
185. #2535C22semidirect
186. #2534C22semidirect
187. #2500C22semidirect
189. #2490C22semidirect
190. #2481C22semidirect
191. #2472C22semidirect
192. #2470C22semidirect
193. #2469C22semidirect
194. #2469C22semidirect
195. #2467C22semidirect
196. #2467C22semidirect
197. #2465C22semidirect
198. #2463C22semidirect
199. #2461C22semidirect
200. #2460C22semidirect
201. #2459C22semidirect
202. #2457C22semidirect
203. #2457C22semidirect
204. #2455C22semidirect
205. #2452C22semidirect
206. #2441C22semidirect
207. #2440C22semidirect
208. #2437C22semidirect
210. #2431C22semidirect
211. #2431C22semidirect
213. #2428C22semidirect
214. #2428C22semidirect
215. #2428C22semidirect
216. #2428C22semidirect
217. #2428C22semidirect
219. #2426C22semidirect
220. #2426C22semidirect
221. #2426C22semidirect
222. #2426C22semidirect
223. #2426C22semidirect
225. #2424C22semidirect
226. #2424C22semidirect
227. #2424C22semidirect
228. #2424C22semidirect
229. #2424C22semidirect
230. #2424C22semidirect
231. #2421C22semidirect
233. #2417C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
244. #2416C22semidirect
245. #2415C22semidirect
248. #2414C22semidirect
249. #2412C22semidirect
251. #2409C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2407C22semidirect
259. #2407C22semidirect
260. #2407C22semidirect
261. #2398C22semidirect
262. #2397C22semidirect
263. #2388C22semidirect
264. #2388C22semidirect
265. #2383C22semidirect
266. #2362C22semidirect
268. #2360C22semidirect
269. #2360C22semidirect
270. #2355C22semidirect
272. #2352C22semidirect
273. #2352C22semidirect
274. #2352C22semidirect
275. Q8×C4⋊C4C22semidirect
277. D4×C4⋊C4C22semidirect
278. #2341C22semidirect
280. #2330C22semidirect
281. #2328C22semidirect
283. #2326C22semidirect
284. #2324C22semidirect
285. #2323C22semidirect
286. #2322C22semidirect
287. #2317C22semidirect
288. #2314C22semidirect
289. #2311C22semidirect
290. #2311C22semidirect
291. C4×C22⋊Q8C22semidirect
294. C4×#121C22semidirect
295. C4×#121C22semidirect
296. C4×#121C22semidirect
297. #2297C22semidirect
299. C2×#384C22semidirect
300. #2283C22semidirect
364. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35462
C2×#34802
#506842
#506812
#506412
#506402
#454232
#454222
#453132
#452582
#452442
#451052
#450572
#448862
#393422
#393412
#393402
#393342
#391382
#391362
#380332
#380242
#372782
#372772
#365792
#365762
#364042
#362582
#352732
#352582
#352562
#351902
#346092
#343842