Finite Group Databasebeta

← #7652809

Subgroups — #7652809

Order 512.

8372 conjugacy classes of subgroups.

The subgroup lattice has 2009 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3492C211yesmaximal, characteristic, complemented
2C22×#547C211yesmaximal, characteristic, complemented
3#42423C212yesmaximal, complemented
4#42421C212yesmaximal, complemented
5#40499C214yesmaximal, complemented
6#40497C214yesmaximal, complemented
7#39720C211yesmaximal, characteristic, complemented
8#39716C212yesmaximal, complemented
9#39592C211yesmaximal, characteristic, complemented
10#39588C212yesmaximal, complemented
11#39359C212yesmaximal, complemented
12#39132C211yesmaximal, characteristic, complemented
13#39128C212yesmaximal, complemented
14#39120C211yesmaximal, characteristic, complemented
15#39116C212yesmaximal, complemented
16#38950C212yesmaximal, complemented
17#38087C214yesmaximal, complemented
18#37679C214yesmaximal, complemented
19#37452C212yesmaximal, complemented
20#37439C211yesmaximal, characteristic, complemented
21#36581C211yesmaximal, characteristic, complemented
22#36546C211yesmaximal, characteristic, complemented
23#36529C211yesmaximal, characteristic, complemented
24#36528C211yesmaximal, characteristic, complemented
25#36424C212yesmaximal, complemented
26#36126C212yesmaximal, complemented
27#35715C212yesmaximal, complemented
28#35682C212yesmaximal, complemented
29#35251C212yesmaximal, complemented
30#35078C211yesmaximal, characteristic, complemented
31#35077C211yesmaximal, characteristic, complemented
32#35064C212yesmaximal, complemented
33#34957C211yesmaximal, characteristic, complemented
34#34738C212yesmaximal, complemented
35C2×#2345C211yesmaximal, characteristic, complemented
36C23×#41C2212yes—
37#3492—216no—
38C2×#554C2212yes—
39C2×#554C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×#553C2212yes—
42C2×#553C2211yescharacteristic
43C2×#553C2211yescharacteristic
44C2×#552C2211yescharacteristic, complemented
45C2×#552C2211yescharacteristic, complemented
46C2×#552C2212yescomplemented
47C2×#547—216no—
48C2×#547C2212yes—
49C2×#547C2212yes—
50C2×#547C2214yes—
51C2×#547C2214yes—
52C2×#547C2212yes—
53C2×#547C2212yes—
54C2×#547C2211yescharacteristic, complemented
55C2×#547C2212yescomplemented
56C2×#547C2211yescharacteristic, complemented
57C2×#544C2211yescharacteristic, complemented
58C2×#539C2212yescomplemented
59C2×#539C2212yescomplemented
60C2×#537C2211yescharacteristic, complemented
61C2×#537C2214yescomplemented
62C2×#532C2214yescomplemented
63C22×C4⋊Q8C2211yescharacteristic
64C2×#525C2211yescharacteristic
65C2×#525C2211yescharacteristic
66C2×#525C2212yes—
67C2×#525C2212yes—
68C22×#123C2212yes—
69C22×#123C2212yes—
70C22×C22⋊Q8C2212yes—
71C22×#121C2211yescharacteristic
72C22×#121C2211yescharacteristic
73C2×#520C2211yescharacteristic, complemented
74C2×#520C2211yescharacteristic, complemented
75C22×C4×D4C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77C23×C4⋊C4C2211yescharacteristic
78C23×C4⋊C4C2211yescharacteristic
79#2856C2212yescomplemented
80#2855C2211yescharacteristic
81#2854C2211yescharacteristic
82#2854C2214yescomplemented
83#2854C2214yescomplemented
84#2850C2212yescomplemented
85#2848C2211yescharacteristic
86#2848C2212yes—
87#2848C2212yes—
88#2847C2211yescharacteristic
89#2847C2212yes—
90#2847C2212yes—
91#2814C2214yescomplemented
92#2813C2212yescomplemented
93#2813C2212yescomplemented
94#2813C2214yescomplemented
95#2716C2214yescomplemented
96#2714C2214yescomplemented
97#2713C2214yescomplemented
98#2711C2214yescomplemented
99#2707C2214yescomplemented
100#2705C2214yescomplemented
101#2704C2214yescomplemented
102#2702C2214yescomplemented
103#2696C2214yescomplemented
104#2694C2214yescomplemented
105#2692C2214yescomplemented
106#2690C2214yescomplemented
107#2683C2214yescomplemented
108#2682C2214yescomplemented
109#2681C2214yescomplemented
110#2681C2214yescomplemented
111#2677C2214yescomplemented
112#2677C2214yescomplemented
113#2676C2214yescomplemented
114#2676C2214yescomplemented
115#2674C2214yescomplemented
116#2674C2214yescomplemented
117#2673C2214yescomplemented
118#2673C2214yescomplemented
119#2663C2214yescomplemented
120#2661C2214yescomplemented
121#2661C2214yescomplemented
122#2656C2212yescomplemented
123#2639C2212yescomplemented
124#2630C2214yescomplemented
125#2630C2214yescomplemented
126#2630C2214yescomplemented
127#2627C2212yes—
128#2626C2212yes—
129#2626C2212yes—
130#2624C2212yescomplemented
131#2618C2212yes—
132#2618C2214yescomplemented
133#2618C2214yescomplemented
134#2617C2212yes—
135#2617C2212yes—
136#2616C2214yescomplemented
137#2615C2214yescomplemented
138#2615C2212yescomplemented
139#2602C2212yescomplemented
140#2602C2214yescomplemented
141#2602C2212yescomplemented
142#2602C2214yescomplemented
143#2591C2211yescharacteristic
144#2591C2212yes—
145#2583C2211yescharacteristic
146#2583C2212yes—
147#2579C2212yes—
148#2579C2212yes—
149#2579C2212yes—
150#2564C2212yescomplemented
151#2561C2211yescharacteristic
152#2561C2212yes—
153#2560C2214yescomplemented
154#2558C2214yescomplemented
155#2556C2214yescomplemented
156#2554C2214yescomplemented
157#2551C2212yescomplemented
158#2550C2212yescomplemented
159#2543C2214yescomplemented
160#2543C2212yescomplemented
161#2541C2212yescomplemented
162#2540C2212yescomplemented
163#2539C2211yescharacteristic
164#2539C2212yes—
165#2534C2212yes—
166#2534C2212yes—
167#2534C2212yes—
168#2504C2211yescharacteristic
169#2502C2211yescharacteristic
170#2500C2212yescomplemented
171#2498C2214yescomplemented
172#2498C2214yescomplemented
173#2492C2212yescomplemented
174#2491C2212yescomplemented
175#2491C2212yescomplemented
176#2490C2212yescomplemented
177#2487C2211yescharacteristic
178#2487C2211yescharacteristic
179#2485C2212yescomplemented
180#2481C2214yescomplemented
181#2477C2214yescomplemented
182#2473C2214yescomplemented
183#2471C2214yescomplemented
184#2467C2214yescomplemented
185#2465C2214yescomplemented
186#2463C2214yescomplemented
187#2463C2214yescomplemented
188#2461C2214yescomplemented
189#2461C2214yescomplemented
190#2460C2214yescomplemented
191#2458C2214yescomplemented
192#2456C2214yescomplemented
193#2456C2214yescomplemented
194#2454C2212yescomplemented
195#2452C2214yescomplemented
196#2452C2212yescomplemented
197#2452C2212yescomplemented
198#2451C2212yescomplemented
199#2449C2214yescomplemented
200#2449C2214yescomplemented
201#2445C2214yescomplemented
202#2443C2214yescomplemented
203#2443C2214yescomplemented
204#2442C2212yescomplemented
205#2440C2212yescomplemented
206#2440C2212yescomplemented
207#2439C2212yescomplemented
208#2436C2212yes—
209#2435C2211yescharacteristic
210#2435C2212yes—
211#2434C2212yes—
212#2433C2211yescharacteristic
213#2433C2212yes—
214#2432C2214yescomplemented
215#2431C2212yescomplemented
216#2431C2214yescomplemented
217#2430C2214yescomplemented
218#2430C2214yescomplemented
219#2430C2214yescomplemented
220#2430C2214yescomplemented
221#2430C2214yescomplemented
222#2430C2214yescomplemented
223#2428C2212yescomplemented
224#2428C2212yescomplemented
225#2427C2212yescomplemented
226#2426C2212yescomplemented
227#2417C2212yescomplemented
228#2417C2212yescomplemented
229#2416C2212yescomplemented
230#2416C2212yescomplemented
231#2416C2212yescomplemented
232#2416C2212yescomplemented
233#2416C2212yescomplemented
234#2414C2212yescomplemented
235#2412C2212yes—
236#2412C2211yescharacteristic
237#2412C2211yescharacteristic
238#2410C2212yes—
239#2410C2212yes—
240#2410C2212yes—
241#2410C2212yes—
242#2410C2212yes—
243#2410C2211yescharacteristic
244#2410C2211yescharacteristic
245#2409C2212yes—
246#2409C2212yes—
247#2408C2211yescharacteristic
248#2408C2211yescharacteristic
249#2408C2212yes—
250#2408C2212yes—
251#2407C2212yescomplemented
252#2407C2214yescomplemented
253#2407C2214yescomplemented
254#2395C2212yescomplemented
255#2388C2214yescomplemented
256#2388C2214yescomplemented
257#2388C2212yescomplemented
258#2367C2212yescomplemented
259#2366C2212yescomplemented
260#2363C2212yescomplemented
261#2361C2212yescomplemented
262#2361C2212yescomplemented
263#2360C2212yescomplemented
264#2352C2212yescomplemented
265D4×C4⋊C4C2212yescomplemented
266#2345C2212yes—
267#2345C2211yescharacteristic
268#2345C2212yes—
269#2345C2211yescharacteristic
270#2345C2211yescharacteristic
271#2345C2211yescharacteristic
272#2345C2214yescomplemented
273#2345C2212yescomplemented
274#2345C2212yescomplemented
275#2325C2214yescomplemented
276#2322C2212yes—
277#2322C2212yes—
278#2321C2212yes—
279#2321C2212yes—
280#2321C2212yes—
281#2321C2212yes—
282#2311C2214yescomplemented
283C4×#123C2211yescharacteristic
284C4×#123C2211yescharacteristic
285C4×#121C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#120C2212yes—
288C4×#120C2211yescharacteristic
289C4×#120C2211yescharacteristic
290C4×#120C2212yes—
291C4×#120C2212yes—
292C4×#120C2212yes—
293#2297C2214yescomplemented
294C2×#389C2212yescomplemented
295C2×#387C2214yescomplemented
296C2×#380C2211yescharacteristic
297C2×#380C2212yes—
298C2×C4×C4⋊C4C2212yescomplemented
299C2×C4×C22⋊C4C2211yescharacteristic
300C2×C4×C22⋊C4C2212yes—
301C22×#41—216no—
302C22×#41—416no—
303C22×#41C2314yes—
304C22×#41C2314yes—
305C22×#41C2314yes—
306C22×#41C2314yes—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C22×#41C2312yes—
310C22×#41C2312yes—
311C23×Q8C2312yes—
312C23×D4C2311yescharacteristic
313C23×D4C2312yes—
314C23×D4C2312yes—
315C23×D4C2311yescharacteristic
316C24×C4C2312yes—
317C24×C4C2312yes—
318C24×C4C2311yescharacteristic
319C24×C4C2312yes—
320C24×C4C2311yescharacteristic
321#554—28no—
322#554—28no—
323#554—216no—
324#553—28no—
325#553—28no—
326#553—216no—
327#552—28no—
328#552—28no—
329#552—216no—
330#547—216no—
331#547—216no—
332#547—232no—
333#547—216no—
334#547—216no—
335#547—232no—
336#547—28no—
337#547—216no—
338#547—28no—
339#544—28no—
340#539—216no—
341#539—216no—
342#537—28no—
343#537—416no—
344#532—416no—
345C2×C4⋊Q8—28no—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2311yescharacteristic
352C2×C4⋊Q8C2314yes—
353C2×#127C2312yes—
354C2×#127C2314yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2311yescharacteristic
365C2×#125C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2314yes—
369#525—28no—
370#525—28no—
371#525—216no—
372#525—216no—
373C2×#123—216no—
374C2×#123—216no—
375C2×#123C2311yescharacteristic
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×#123C2311yescharacteristic
381C2×#123C2311yescharacteristic
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2311yescharacteristic
397C2×C22⋊Q8—216no—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2314yes—
421C2×C22⋊Q8C2314yes—
422C2×#121—28no—
423C2×#121—28no—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2314yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2311yescharacteristic
443C2×#121C2312yes—
444C2×#121C2311yescharacteristic
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#121C2312yes—
448C2×#121C2314yes—
449C2×#121C2314yes—
450C2×#121C2314yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2314yes—
454C2×#121C2314yes—
455C2×#121C2314yes—
456C2×#120C2312yes—
457C2×#120C2312yes—
458C2×#120C2311yescharacteristic
459C2×#120C2311yescharacteristic
460C2×#120C2311yescharacteristic
461C2×#120C2312yes—
462C2×#120C2312yes—
463C2×#120C2311yescharacteristic
464C2×#120C2312yes—
465C2×#120C2312yes—
466#520—28no—
467#520—28no—
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2312yes—
471C2×C4×D4—28no—
472C2×C4×D4—28no—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2312yes—
498C2×C4×D4C2314yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2314yes—
501C2×C4×D4C2314yes—
502C2×C4×D4C2314yes—
503C2×#117C2312yes—
504C2×#117C2311yescharacteristic
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C2×#117C2311yescharacteristic
508C2×#117C2312yes—
509C2×#117C2312yes—
510C22×C4⋊C4—28no—
511C22×C4⋊C4D4116yescomplemented
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2311yescharacteristic
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2311yescharacteristic
518C22×C4⋊C4C2312yes—
519C22×C4⋊C4C2314yes—
520C22×C4⋊C4C2311yescharacteristic
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2314yes—
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2311yescharacteristic
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2311yescharacteristic
528C22×C4⋊C4C2311yescharacteristic
529C22×C4⋊C4C2312yes—
530C22×C4⋊C4C2311yescharacteristic
531C22×C4⋊C4C2312yes—
532C22×C4⋊C4C2311yescharacteristic
533C22×C22⋊C4C2312yes—
534C22×C22⋊C4C2311yescharacteristic
535C22×C22⋊C4C2312yes—
536C22×C22⋊C4C2312yes—
537C22×C22⋊C4C2311yescharacteristic
538C22×C22⋊C4C2311yescharacteristic
539C22×C22⋊C4C2312yes—
540C22×C22⋊C4C2311yescharacteristic
541C22×C42C2311yescharacteristic
542C22×C42C2312yes—
543C22×C42C2314yes—
544#400C2312yes—
545#400C2314yes—
546#400C2314yes—
547#400C2312yes—
548#400C2312yes—
549#399C2312yes—
550#399C2314yes—
551#399C2314yes—
552#399C2312yes—
553#399C2312yes—
554#399C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2312yes—
559#398C2314yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#398C2314yes—
564#397C2314yes—
565#397C2312yes—
566#397C2314yes—
567#397C2312yes—
568#397C2312yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#395C2312yes—
585#395C2314yes—
586#395C2314yes—
587#395C2314yes—
588#395C2314yes—
589#395C2314yes—
590#395C2314yes—
591#394C2314yes—
592#394C2312yes—
593#394C2314yes—
594#394C2312yes—
595#394C2312yes—
596#394C2314yes—
597#394C2312yes—
598#394C2314yes—
599#394C2312yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2312yes—
614#394C2312yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#393C2314yes—
619#393C2312yes—
620#393C2314yes—
621#393C2314yes—
622#393C2314yes—
623#393C2314yes—
624#393C2314yes—
625#393C2314yes—
626#392C2312yes—
627#392C2314yes—
628#392C2312yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#392C2314yes—
637#392C2314yes—
638#392C2312yes—
639#392C2314yes—
640#392C2312yes—
641#392C2312yes—
642#392C2314yes—
643#392C2314yes—
644#391C2314yes—
645#391C2314yes—
646#391C2314yes—
647#391C2312yes—
648#391C2312yes—
649#391C2314yes—
650#390C2314yes—
651#390C2314yes—
652#390C2314yes—
653#390C2314yes—
654#390C2314yes—
655#390C2314yes—
656#390C2312yes—
657#390C2312yes—
658#390C2314yes—
659#390C2314yes—
660#390C2312yes—
661#390C2312yes—
662#390C2312yes—
663#390C2312yes—
664#390C2312yes—
665#390C2312yes—
666#390C2314yes—
667#390C2314yes—
668#389C2314yes—
669#389C2314yes—
670#389C2314yes—
671#389C2314yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2314yes—
681#389C2314yes—
682#389C2312yes—
683#389C2312yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2312yes—
690#388C2312yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2314yes—
707#388C2314yes—
708#387C2314yes—
709#387C2312yes—
710#387C2312yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2311yescharacteristic
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2311yescharacteristic
740#386C2312yes—
741#386C2312yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2311yescharacteristic
746#386C2311yescharacteristic
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2312yes—
752#386C2312yes—
753#386C2312yes—
754#386C2314yes—
755#386C2312yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#385C2312yes—
763#385C2312yes—
764#385C2311yescharacteristic
765#385C2312yes—
766#385C2312yes—
767#385C2312yes—
768#385C2312yes—
769#385C2314yes—
770#385C2314yes—
771#385C2311yescharacteristic
772#385C2314yes—
773#385C2312yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#385C2314yes—
778#385C2311yescharacteristic
779#385C2311yescharacteristic
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#384C2312yes—
789#382C2312yes—
790#381C2311yescharacteristic
791#381C2312yes—
792#381C2311yescharacteristic
793#380C2312yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2314yes—
798#380C2314yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2314yes—
803#380C2311yescharacteristic
804#380C2312yes—
805#380C2311yescharacteristic
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2314yes—
810#380C2312yes—
811#380C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#379C2312yes—
816#379C2312yes—
817#379C2311yescharacteristic
818#379C2311yescharacteristic
819#379C2312yes—
820#379C2312yes—
821#379C2312yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2314yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2314yes—
853C2×#95C2314yes—
854C25C2411yescharacteristic
855C25C2411yescharacteristic
856C25C2412yes—
857C2×#41—216no—
858C2×#41—216no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—216no—
862C2×#41—216no—
863C2×#41—216no—
864C2×#41—216no—
865C2×#41—28no—
866C2×#41—28no—
867C2×#41—44no—
868C2×#41—48no—
869C2×#41—48no—
870C2×#41—48no—
871C2×#41—48no—
872C2×#41—48no—
873C2×#41—48no—
874C2×#41—48no—
875C2×#41—48no—
876C2×#41—44no—
877C2×#41—4128no—
878C22×Q8—28no—
879C22×Q8—48no—
880C22×Q8C2411yescharacteristic
881C22×Q8C2414yes—
882C22×Q8C2414yes—
883C22×Q8C2411yescharacteristic
884C22×Q8C2412yes—
885C22×Q8C2412yes—
886C22×D4—24no—
887C22×D4—28no—
888C22×D4—28no—
889C22×D4—24no—
890C22×D4—28no—
891C22×D4—44no—
892C22×D4—48no—
893C22×D4—48no—
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2411yescharacteristic
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2411yescharacteristic
902C22×D4C2411yescharacteristic
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C22×D4C2411yescharacteristic
909C22×D4C2412yes—
910C22×D4C2411yescharacteristic
911C22×D4C2412yes—
912C22×D4C2411yescharacteristic
913C22×D4C2412yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2412yes—
917C22×D4C2412yes—
918C22×D4C2414yes—
919C22×D4C2414yes—
920C22×D4C2414yes—
921C22×D4C2414yes—
922C23×C4—24no—
923C23×C4—28no—
924C23×C4—28no—
925C23×C4—44no—
926C23×C4—44no—
927C23×C4—48no—
928C23×C4—48no—
929C23×C4—48no—
930C23×C4C2×D418yes—
931C23×C4C2×D4116yes—
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2412yes—
938C23×C4C2414yes—
939C23×C4C2414yes—
940C23×C4C2414yes—
941C23×C4C2414yes—
942C23×C4C2412yes—
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2411yescharacteristic
946C23×C4C2412yes—
947C23×C4C2411yescharacteristic
948C23×C4C2412yes—
949C23×C4C2414yes—
950C23×C4C2412yes—
951C23×C4C2412yes—
952C23×C4C2412yes—
953C23×C4C2412yes—
954C23×C4C2412yes—
955C23×C4C2412yes—
956C23×C4C2412yes—
957C23×C4C2411yescharacteristic
958C23×C4C2412yes—
959C23×C4C2412yes—
960C23×C4C2411yescharacteristic
961C23×C4C2412yes—
962C23×C4C2411yescharacteristic
963C23×C4C2412yes—
964C4⋊Q8—28no—
965C4⋊Q8—28no—
966C4⋊Q8—216no—
967C4⋊Q8—24no—
968C4⋊Q8—24no—
969C4⋊Q8—28no—
970C4⋊Q8—48no—
971#127—44no—
972#127—48no—
973#126—28no—
974#126—28no—
975#126—28no—
976#126—28no—
977#125—28no—
978#125—28no—
979#125—28no—
980#125—28no—
981#125—24no—
982#125—24no—
983#125—28no—
984#124—44no—
985#124—48no—
986#124—48no—
987#123—216no—
988#123—216no—
989#123—216no—
990#123—216no—
991#123—24no—
992#123—24no—
993#123—28no—
994#123—28no—
995#123—28no—
996#123—28no—
997#123—28no—
998#123—216no—
999#123—216no—
1000#123—216no—
1001#123—216no—
1002#123—28no—
1003#123—28no—
1004#123—28no—
1005#123—28no—
1006#123—24no—
1007#123—44no—
1008#123—42no—
1009C22⋊Q8—28no—
1010C22⋊Q8—28no—
1011C22⋊Q8—24no—
1012C22⋊Q8—24no—
1013C22⋊Q8—24no—
1014C22⋊Q8—24no—
1015C22⋊Q8—28no—
1016C22⋊Q8—28no—
1017C22⋊Q8—216no—
1018C22⋊Q8—216no—
1019C22⋊Q8—216no—
1020C22⋊Q8—216no—
1021C22⋊Q8—24no—
1022C22⋊Q8—24no—
1023C22⋊Q8—28no—
1024C22⋊Q8—28no—
1025C22⋊Q8—28no—
1026C22⋊Q8—28no—
1027C22⋊Q8—28no—
1028C22⋊Q8—48no—
1029C22⋊Q8—48no—
1030C22⋊Q8—48no—
1031C22⋊Q8—48no—
1032C22⋊Q8—44no—
1033#121—28no—
1034#121—216no—
1035#121—28no—
1036#121—28no—
1037#121—28no—
1038#121—28no—
1039#121—28no—
1040#121—28no—
1041#121—28no—
1042#121—24no—
1043#121—24no—
1044#121—28no—
1045#121—28no—
1046#121—24no—
1047#121—24no—
1048#121—28no—
1049#121—28no—
1050#121—216no—
1051#121—24no—
1052#121—24no—
1053#121—28no—
1054#121—48no—
1055#121—48no—
1056#121—48no—
1057#121—44no—
1058#121—44no—
1059#121—44no—
1060#121—48no—
1061#121—48no—
1062#121—48no—
1063#121—48no—
1064#121—48no—
1065#120—28no—
1066#120—24no—
1067#120—24no—
1068#120—24no—
1069#120—28no—
1070#120—44no—
1071#120—44no—
1072#120—44no—
1073#120—42no—
1074#120—44no—
1075C4×Q8—24no—
1076C4×Q8—24no—
1077C4×Q8—28no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—28no—
1084C4×D4—28no—
1085C4×D4—28no—
1086C4×D4—24no—
1087C4×D4—24no—
1088C4×D4—28no—
1089C4×D4—28no—
1090C4×D4—28no—
1091C4×D4—28no—
1092C4×D4—28no—
1093C4×D4—24no—
1094C4×D4—24no—
1095C4×D4—28no—
1096C4×D4—28no—
1097C4×D4—28no—
1098C4×D4—216no—
1099C4×D4—24no—
1100C4×D4—24no—
1101C4×D4—28no—
1102C4×D4—44no—
1103C4×D4—44no—
1104C4×D4—48no—
1105C4×D4—48no—
1106C4×D4—48no—
1107C4×D4—48no—
1108#117—24no—
1109#117—24no—
1110#117—28no—
1111#117—28no—
1112#117—24no—
1113#117—24no—
1114#117—28no—
1115C2×C4⋊C4—24no—
1116C2×C4⋊C4—28no—
1117C2×C4⋊C4—24no—
1118C2×C4⋊C4—28no—
1119C2×C4⋊C4—28no—
1120C2×C4⋊C4—28no—
1121C2×C4⋊C4—216no—
1122C2×C4⋊C4—24no—
1123C2×C4⋊C4—24no—
1124C2×C4⋊C4—28no—
1125C2×C4⋊C4—44no—
1126C2×C4⋊C4—48no—
1127C2×C4⋊C4C2×D418yes—
1128C2×C4⋊C4C2×D418yes—
1129C2×C4⋊C4C2×D418yes—
1130C2×C4⋊C4C2×D4116yes—
1131C2×C4⋊C4C2×D418yes—
1132C2×C4⋊C4C2×D4116yes—
1133C2×C4⋊C4C2×D418yes—
1134C2×C4⋊C4C2×D418yes—
1135C2×C4⋊C4C2×D4116yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2411yescharacteristic
1168C2×C4⋊C4C2411yescharacteristic
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2411yescharacteristic
1187C2×C4⋊C4C2411yescharacteristic
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2411yescharacteristic
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2412yes—
1196C2×C22⋊C4—24no—
1197C2×C22⋊C4—24no—
1198C2×C22⋊C4—28no—
1199C2×C22⋊C4—28no—
1200C2×C22⋊C4—28no—
1201C2×C22⋊C4—24no—
1202C2×C22⋊C4—44no—
1203C2×C22⋊C4—42no—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2411yescharacteristic
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2411yescharacteristic
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2411yescharacteristic
1223C2×C22⋊C4C2411yescharacteristic
1224C2×C22⋊C4C2411yescharacteristic
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2411yescharacteristic
1232C2×C22⋊C4C2411yescharacteristic
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2411yescharacteristic
1242C2×C22⋊C4C2411yescharacteristic
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2411yescharacteristic
1246C2×C22⋊C4C2411yescharacteristic
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2414yes—
1268C2×C22⋊C4C2414yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2414yes—
1272C2×C22⋊C4C2414yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2414yes—
1275C2×C22⋊C4C2412yes—
1276C2×C22⋊C4C2414yes—
1277C2×C22⋊C4C2414yes—
1278C2×C22⋊C4C2414yes—
1279C2×C22⋊C4C2411yescharacteristic
1280C2×C42—24no—
1281C2×C42—44no—
1282C2×C42—48no—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2411yescharacteristic
1288C2×C42C2411yescharacteristic
1289C2×C42C2412yes—
1290C2×C42C2412yes—
1291C2×C42C2412yes—
1292C2×C42C2412yes—
1293C2×C42C2412yes—
1294C2×C42C2414yes—
1295C2×C42C2414yes—
1296C2×C42C2414yes—
1297C2×C42C2414yes—
1298C2×C42C2412yes—
1299C2×C42C2412yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2414yes—
1326#95C2412yes—
1327#95C2412yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2412yes—
1331#95C2412yes—
1332#95C2412yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341C24—22no—
1342C24—24no—
1343C24—24no—
1344C24—22no—
1345C24—22no—
1346C24—24no—
1347C24—22no—
1348C24—22no—
1349C24—24no—
1350C24—24no—
1351C24—42no—
1352C24—42no—
1353C24—44no—
1354C24—44no—
1355C24C22×D414yes—
1356C24C2514yes—
1357C24C2511yescharacteristic
1358C24C2511yescharacteristic
1359C24C2512yes—
1360C24C2511yescharacteristic
1361C24C2512yes—
1362C24C2511yescharacteristic
1363C24C2511yescharacteristic
1364#41—464no—
1365#41—464no—
1366#41—416no—
1367#41—416no—
1368#41—464no—
1369#41—464no—
1370#41—816no—
1371#41—816no—
1372C2×Q8—22no—
1373C2×Q8—22no—
1374C2×Q8—28no—
1375C2×Q8—28no—
1376C2×Q8—24no—
1377C2×Q8—24no—
1378C2×Q8—28no—
1379C2×Q8—28no—
1380C2×Q8—24no—
1381C2×Q8—44no—
1382C2×Q8—44no—
1383C2×Q8—42no—
1384C2×Q8—44no—
1385C2×Q8—44no—
1386C2×Q8—432no—
1387C2×D4—232no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—22no—
1393C2×D4—24no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—24no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—24no—
1401C2×D4—28no—
1402C2×D4—28no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—28no—
1406C2×D4—24no—
1407C2×D4—28no—
1408C2×D4—28no—
1409C2×D4—28no—
1410C2×D4—28no—
1411C2×D4—22no—
1412C2×D4—24no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—22no—
1416C2×D4—24no—
1417C2×D4—28no—
1418C2×D4—24no—
1419C2×D4—24no—
1420C2×D4—24no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—28no—
1424C2×D4—28no—
1425C2×D4—24no—
1426C2×D4—24no—
1427C2×D4—24no—
1428C2×D4—24no—
1429C2×D4—28no—
1430C2×D4—24no—
1431C2×D4—24no—
1432C2×D4—24no—
1433C2×D4—42no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—42no—
1442C2×D4—44no—
1443C2×D4—416no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—42no—
1447C2×D4—42no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—44no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—44no—
1456C2×D4—44no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—44no—
1460C2×D4—44no—
1461C2×D4—432no—
1462C2×D4—432no—
1463C2×D4H(5,𝔽2)18yes—
1464C22×C4—22no—
1465C22×C4—28no—
1466C22×C4—28no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—28no—
1476C22×C4—28no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—28no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—28no—
1484C22×C4—28no—
1485C22×C4—24no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—28no—
1489C22×C4—28no—
1490C22×C4—28no—
1491C22×C4—28no—
1492C22×C4—24no—
1493C22×C4—24no—
1494C22×C4—24no—
1495C22×C4—24no—
1496C22×C4—24no—
1497C22×C4—24no—
1498C22×C4—24no—
1499C22×C4—24no—
1500C22×C4—24no—
1501C22×C4—416no—
1502C22×C4—42no—
1503C22×C4—44no—
1504C22×C4—432no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—42no—
1508C22×C4—42no—
1509C22×C4—42no—
1510C22×C4—42no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—44no—
1519C22×C4—44no—
1520C22×C4—42no—
1521C22×C4—42no—
1522C22×C4—44no—
1523C22×C4—44no—
1524C22×C4—44no—
1525C22×C4—44no—
1526C22×C4—44no—
1527C22×C4—44no—
1528C22×C4—416no—
1529C22×C4—432no—
1530C22×C4—432no—
1531C22×C4C22×D414yes—
1532C22×C4C22×D414yes—
1533C22×C4C22×D418yes—
1534C22×C4C22×D418yes—
1535C22×C4C22×D414yes—
1536C22×C4C22×D414yes—
1537C22×C4C22×D418yes—
1538C22×C4C22×D418yes—
1539C22×C4C22×D414yes—
1540C22×C4C22×D418yes—
1541C22×C4C22×D414yes—
1542C22×C4C22×D418yes—
1543C22×C4C2512yes—
1544C22×C4C2514yes—
1545C22×C4C2512yes—
1546C22×C4C2514yes—
1547C22×C4C2512yes—
1548C22×C4C2511yescharacteristic
1549C22×C4C2512yes—
1550C22×C4C2511yescharacteristic
1551C22×C4C2512yes—
1552C22×C4C2511yescharacteristic
1553C22×C4C2511yescharacteristic
1554C22×C4C2512yes—
1555C22×C4C2512yes—
1556C22×C4C2514yes—
1557C22×C4C2511yescharacteristic
1558C22×C4C2511yescharacteristic
1559C22×C4C2512yes—
1560C22×C4C2511yescharacteristic
1561C22×C4C2511yescharacteristic
1562C22×C4C2512yes—
1563C22×C4C2512yes—
1564C22×C4C2512yes—
1565C22×C4C2512yes—
1566C22×C4C2511yescharacteristic
1567C22×C4C2512yes—
1568C22×C4C2512yes—
1569C22×C4C2511yescharacteristic
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—28no—
1573C4⋊C4—28no—
1574C4⋊C4—22no—
1575C4⋊C4—22no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—28no—
1583C4⋊C4—28no—
1584C4⋊C4—22no—
1585C4⋊C4—22no—
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—24no—
1591C4⋊C4—22no—
1592C4⋊C4—22no—
1593C4⋊C4—24no—
1594C4⋊C4—24no—
1595C4⋊C4—24no—
1596C4⋊C4—24no—
1597C4⋊C4—22no—
1598C4⋊C4—22no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—28no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4—24no—
1605C4⋊C4—24no—
1606C4⋊C4—44no—
1607C4⋊C4—44no—
1608C4⋊C4—44no—
1609C4⋊C4—44no—
1610C4⋊C4—44no—
1611C4⋊C4—42no—
1612C4⋊C4—42no—
1613C4⋊C4—44no—
1614C4⋊C4—44no—
1615C4⋊C4—44no—
1616C4⋊C4—44no—
1617C4⋊C4—44no—
1618C4⋊C4—42no—
1619C4⋊C4—44no—
1620C4⋊C4C22×D414yes—
1621C4⋊C4C22×D414yes—
1622C4⋊C4C22×D418yes—
1623C4⋊C4C22×D414yes—
1624C4⋊C4C22×D418yes—
1625C4⋊C4C22×D414yes—
1626C4⋊C4C22×D418yes—
1627C4⋊C4C22×D418yes—
1628C4⋊C4C22×D418yes—
1629C4⋊C4C22×D418yes—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—22no—
1633C22⋊C4—24no—
1634C22⋊C4—22no—
1635C22⋊C4—22no—
1636C22⋊C4—22no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—22no—
1640C22⋊C4—22no—
1641C22⋊C4—24no—
1642C22⋊C4—28no—
1643C22⋊C4—24no—
1644C22⋊C4—22no—
1645C22⋊C4—24no—
1646C22⋊C4—22no—
1647C22⋊C4—22no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—28no—
1651C22⋊C4—24no—
1652C22⋊C4—28no—
1653C22⋊C4—28no—
1654C22⋊C4—28no—
1655C22⋊C4—28no—
1656C22⋊C4—28no—
1657C22⋊C4—24no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—24no—
1662C22⋊C4—24no—
1663C22⋊C4—24no—
1664C22⋊C4—24no—
1665C22⋊C4—22no—
1666C22⋊C4—22no—
1667C22⋊C4—24no—
1668C22⋊C4—24no—
1669C22⋊C4—22no—
1670C22⋊C4—22no—
1671C22⋊C4—24no—
1672C22⋊C4—28no—
1673C22⋊C4—24no—
1674C22⋊C4—24no—
1675C22⋊C4—24no—
1676C22⋊C4—28no—
1677C22⋊C4—24no—
1678C22⋊C4—42no—
1679C22⋊C4—44no—
1680C22⋊C4—42no—
1681C22⋊C4—42no—
1682C22⋊C4—42no—
1683C22⋊C4—42no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—42no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4—44no—
1692C22⋊C4—44no—
1693C22⋊C4—44no—
1694C22⋊C4—44no—
1695C22⋊C4—44no—
1696C22⋊C4—44no—
1697C22⋊C4—44no—
1698C22⋊C4—44no—
1699C22⋊C4—44no—
1700C22⋊C4—44no—
1701C22⋊C4—42no—
1702C22⋊C4—44no—
1703C22⋊C4—44no—
1704C22⋊C4—44no—
1705C22⋊C42−1+414yes—
1706C42—24no—
1707C42—24no—
1708C42—24no—
1709C42—24no—
1710C42—24no—
1711C42—24no—
1712C42—24no—
1713C42—22no—
1714C42—22no—
1715C42—24no—
1716C42—24no—
1717C42—42no—
1718C42—42no—
1719C42—44no—
1720C42—44no—
1721C42—44no—
1722C42—44no—
1723C23—22no—
1724C23—21no—
1725C23—22no—
1726C23—22no—
1727C23—21no—
1728C23—28no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—21no—
1733C23—22no—
1734C23—21no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—28no—
1740C23—28no—
1741C23—21no—
1742C23—22no—
1743C23—21no—
1744C23—24no—
1745C23—22no—
1746C23—24no—
1747C23—22no—
1748C23—24no—
1749C23—24no—
1750C23—21no—
1751C23—24no—
1752C23—21no—
1753C23—22no—
1754C23—24no—
1755C23—24no—
1756C23—21no—
1757C23—22no—
1758C23—22no—
1759C23—22no—
1760C23—24no—
1761C23—24no—
1762C23—21no—
1763C23—44no—
1764C23—48no—
1765C23—48no—
1766C23—48no—
1767C23—48no—
1768C23—44no—
1769C23—48no—
1770C23—48no—
1771C23—44no—
1772C23—48no—
1773C23—88no—
1774C23—88no—
1775C23C23×D412yes—
1776C23C23×D412yes—
1777C23C23×D412yes—
1778C23C2×H(5,𝔽2)14yes—
1779C23C2×H(5,𝔽2)14yes—
1780C23C2×2−1+412yes—
1781C23#58512yes—
1782C23C2611yescharacteristic
1783Q8—416no—
1784Q8—416no—
1785Q8—44no—
1786Q8—44no—
1787Q8—84no—
1788Q8—84no—
1789D4—216no—
1790D4—216no—
1791D4—48no—
1792D4—416no—
1793D4—416no—
1794D4—48no—
1795D4—44no—
1796D4—416no—
1797D4—44no—
1798D4—44no—
1799D4—48no—
1800D4—416no—
1801D4—44no—
1802D4—48no—
1803D4—44no—
1804D4—44no—
1805D4—48no—
1806D4—44no—
1807D4—48no—
1808D4—44no—
1809D4—88no—
1810D4—84no—
1811D4—84no—
1812D4—84no—
1813D4—88no—
1814D4—88no—
1815D4—164no—
1816D4—164no—
1817C2×C4—28no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—24no—
1821C2×C4—24no—
1822C2×C4—24no—
1823C2×C4—24no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—216no—
1830C2×C4—216no—
1831C2×C4—28no—
1832C2×C4—28no—
1833C2×C4—28no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—22no—
1845C2×C4—24no—
1846C2×C4—22no—
1847C2×C4—24no—
1848C2×C4—24no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—24no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—24no—
1855C2×C4—24no—
1856C2×C4—22no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—21no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—24no—
1866C2×C4—24no—
1867C2×C4—22no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—21no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—24no—
1876C2×C4—24no—
1877C2×C4—24no—
1878C2×C4—22no—
1879C2×C4—48no—
1880C2×C4—44no—
1881C2×C4—44no—
1882C2×C4—44no—
1883C2×C4—48no—
1884C2×C4—48no—
1885C2×C4—48no—
1886C2×C4—416no—
1887C2×C4—416no—
1888C2×C4—48no—
1889C2×C4—416no—
1890C2×C4—416no—
1891C2×C4—48no—
1892C2×C4—48no—
1893C2×C4—44no—
1894C2×C4—48no—
1895C2×C4—44no—
1896C2×C4—48no—
1897C2×C4—44no—
1898C2×C4—44no—
1899C2×C4—84no—
1900C2×C4—84no—
1901C2×C4—84no—
1902C2×C4—84no—
1903C2×C4—84no—
1904C2×C4—88no—
1905C2×C4C23×D412yes—
1906C2×C4C23×D412yes—
1907C2×C4C23×D414yes—
1908C2×C4C23×D414yes—
1909C2×C4C23×D412yes—
1910C2×C4C23×D414yes—
1911C2×C4C23×D414yes—
1912C2×C4C23×D412yes—
1913C2×C4C2×H(5,𝔽2)14yes—
1914C2×C4C2×2−1+414yes—
1915C2×C4#58514yes—
1916C22—24no—
1917C22—24no—
1918C22—24no—
1919C22—24no—
1920C22—22no—
1921C22—22no—
1922C22—22no—
1923C22—22no—
1924C22—24no—
1925C22—24no—
1926C22—22no—
1927C22—24no—
1928C22—22no—
1929C22—22no—
1930C22—416no—
1931C22—416no—
1932C22—42no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—42no—
1939C22—44no—
1940C22—44no—
1941C22—42no—
1942C22—44no—
1943C22—42no—
1944C22—42no—
1945C22—44no—
1946C22—44no—
1947C22—44no—
1948C22—44no—
1949C22—41no—
1950C22—42no—
1951C22—41no—
1952C22—41no—
1953C22—41no—
1954C22—42no—
1955C22—44no—
1956C22—42no—
1957C22—41no—
1958C22—41no—
1959C22—44no—
1960C22—816no—
1961C22#348414yes—
1962C22#349714yes—
1963C22C24×D411yescharacteristic
1964C22C22×H(5,𝔽2)12yes—
1965C22C22×2−1+411yescharacteristic
1966C22C2×#58512yes—
1967C22C2×#58511yescharacteristic
1968C4—24no—
1969C4—24no—
1970C4—24no—
1971C4—24no—
1972C4—24no—
1973C4—24no—
1974C4—22no—
1975C4—22no—
1976C4—22no—
1977C4—42no—
1978C4—42no—
1979C4—44no—
1980C4—44no—
1981C4—42no—
1982C4—44no—
1983C4—41no—
1984C4—42no—
1985C4—41no—
1986C4—42no—
1987C4—41no—
1988C4—42no—
1989C4—41no—
1990C4—42no—
1991C4—41no—
1992C4—41no—
1993C4—42no—
1994C4#344914yes—
1995C2—24no—
1996C2—24no—
1997C2—44no—
1998C2—42no—
1999C2—81no—
2000C2—82no—
2001C2—81no—
2002C2—84no—
2003C2C2×#344911yescharacteristic
2004C2C2×#348411yescharacteristic
2005C2C2×#349711yescharacteristic
2006C2#6301312yes—
2007C2#6301812yes—
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×#3492C2semidirect
2. C22×#547C2semidirect
3. #42423C2semidirect
4. #42421C2semidirect
5. #40499C2semidirect
6. #40497C2semidirect
7. #39720C2semidirect
8. #39716C2semidirect
9. #39592C2semidirect
10. #39588C2semidirect
11. #39359C2semidirect
12. #39132C2semidirect
13. #39128C2semidirect
14. #39120C2semidirect
15. #39116C2semidirect
16. #38950C2semidirect
17. #38087C2semidirect
18. #37679C2semidirect
19. #37452C2semidirect
20. #37439C2semidirect
21. #36581C2semidirect
22. #36546C2semidirect
23. #36529C2semidirect
24. #36528C2semidirect
25. #36424C2semidirect
26. #36126C2semidirect
27. #35715C2semidirect
28. #35682C2semidirect
29. #35251C2semidirect
30. #35078C2semidirect
31. #35077C2semidirect
32. #35064C2semidirect
33. #34957C2semidirect
34. #34738C2semidirect
35. C2×#2345C2semidirect
44. C2×#552C22semidirect
45. C2×#552C22semidirect
46. C2×#552C22semidirect
54. C2×#547C22semidirect
55. C2×#547C22semidirect
56. C2×#547C22semidirect
57. C2×#544C22semidirect
58. C2×#539C22semidirect
59. C2×#539C22semidirect
60. C2×#537C22semidirect
61. C2×#537C22semidirect
62. C2×#532C22semidirect
73. C2×#520C22semidirect
74. C2×#520C22semidirect
79. #2856C22semidirect
82. #2854C22semidirect
83. #2854C22semidirect
84. #2850C22semidirect
91. #2814C22semidirect
92. #2813C22semidirect
93. #2813C22semidirect
94. #2813C22semidirect
95. #2716C22semidirect
96. #2714C22semidirect
97. #2713C22semidirect
98. #2711C22semidirect
99. #2707C22semidirect
100. #2705C22semidirect
101. #2704C22semidirect
102. #2702C22semidirect
103. #2696C22semidirect
104. #2694C22semidirect
105. #2692C22semidirect
106. #2690C22semidirect
107. #2683C22semidirect
108. #2682C22semidirect
109. #2681C22semidirect
110. #2681C22semidirect
111. #2677C22semidirect
112. #2677C22semidirect
113. #2676C22semidirect
114. #2676C22semidirect
115. #2674C22semidirect
116. #2674C22semidirect
117. #2673C22semidirect
118. #2673C22semidirect
119. #2663C22semidirect
120. #2661C22semidirect
121. #2661C22semidirect
122. #2656C22semidirect
123. #2639C22semidirect
124. #2630C22semidirect
125. #2630C22semidirect
126. #2630C22semidirect
130. #2624C22semidirect
132. #2618C22semidirect
133. #2618C22semidirect
136. #2616C22semidirect
137. #2615C22semidirect
138. #2615C22semidirect
139. #2602C22semidirect
140. #2602C22semidirect
141. #2602C22semidirect
142. #2602C22semidirect
150. #2564C22semidirect
153. #2560C22semidirect
154. #2558C22semidirect
155. #2556C22semidirect
156. #2554C22semidirect
157. #2551C22semidirect
158. #2550C22semidirect
159. #2543C22semidirect
160. #2543C22semidirect
161. #2541C22semidirect
162. #2540C22semidirect
170. #2500C22semidirect
171. #2498C22semidirect
172. #2498C22semidirect
173. #2492C22semidirect
174. #2491C22semidirect
175. #2491C22semidirect
176. #2490C22semidirect
179. #2485C22semidirect
180. #2481C22semidirect
181. #2477C22semidirect
182. #2473C22semidirect
183. #2471C22semidirect
184. #2467C22semidirect
185. #2465C22semidirect
186. #2463C22semidirect
187. #2463C22semidirect
188. #2461C22semidirect
189. #2461C22semidirect
190. #2460C22semidirect
191. #2458C22semidirect
192. #2456C22semidirect
193. #2456C22semidirect
194. #2454C22semidirect
195. #2452C22semidirect
196. #2452C22semidirect
197. #2452C22semidirect
198. #2451C22semidirect
199. #2449C22semidirect
200. #2449C22semidirect
201. #2445C22semidirect
202. #2443C22semidirect
203. #2443C22semidirect
204. #2442C22semidirect
205. #2440C22semidirect
206. #2440C22semidirect
207. #2439C22semidirect
214. #2432C22semidirect
215. #2431C22semidirect
216. #2431C22semidirect
217. #2430C22semidirect
218. #2430C22semidirect
219. #2430C22semidirect
220. #2430C22semidirect
221. #2430C22semidirect
222. #2430C22semidirect
223. #2428C22semidirect
224. #2428C22semidirect
225. #2427C22semidirect
226. #2426C22semidirect
227. #2417C22semidirect
228. #2417C22semidirect
229. #2416C22semidirect
230. #2416C22semidirect
231. #2416C22semidirect
232. #2416C22semidirect
233. #2416C22semidirect
234. #2414C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2395C22semidirect
255. #2388C22semidirect
256. #2388C22semidirect
257. #2388C22semidirect
258. #2367C22semidirect
259. #2366C22semidirect
260. #2363C22semidirect
261. #2361C22semidirect
262. #2361C22semidirect
263. #2360C22semidirect
264. #2352C22semidirect
265. D4×C4⋊C4C22semidirect
272. #2345C22semidirect
273. #2345C22semidirect
274. #2345C22semidirect
275. #2325C22semidirect
282. #2311C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
293. #2297C22semidirect
294. C2×#389C22semidirect
295. C2×#387C22semidirect
298. C2×C4×C4⋊C4C22semidirect
511. C22×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34922
C22×#5472
#424232
#424212
#404992
#404972
#397202
#397162
#395922
#395882
#393592
#391322
#391282
#391202
#391162
#389502
#380872
#376792
#374522
#374392
#365812
#365462
#365292
#365282
#364242
#361262
#357152
#356822
#352512
#350782
#350772
#350642
#349572
#347382
C2×#23452