Finite Group Databasebeta

← #28259500

Subgroups — #28259500

Order 13568.

2764 conjugacy classes of subgroups.

The subgroup lattice has 2072 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811432C211yesmaximal, characteristic, complemented
2C22×#13133240C211yesmaximal, characteristic, complemented
3#20288392C211yesmaximal, characteristic, complemented
4#20288381C211yesmaximal, characteristic, complemented
5#20286440C211yesmaximal, characteristic, complemented
6#20286438C211yesmaximal, characteristic, complemented
7#20286423C211yesmaximal, characteristic, complemented
8#20286417C211yesmaximal, characteristic, complemented
9#20286415C211yesmaximal, characteristic, complemented
10#20286415C211yesmaximal, characteristic, complemented
11D4×#11719924C211yesmaximal, characteristic, complemented
12#20286404C211yesmaximal, characteristic, complemented
13#20286302C211yesmaximal, characteristic, complemented
14#20286294C211yesmaximal, characteristic, complemented
15#20286285C211yesmaximal, characteristic, complemented
16#20286247C211yesmaximal, characteristic, complemented
17#20286239C211yesmaximal, characteristic, complemented
18#20286200C211yesmaximal, characteristic, complemented
19#20286192C211yesmaximal, characteristic, complemented
20#20285190C211yesmaximal, characteristic, complemented
21#20284379C211yesmaximal, characteristic, complemented
22#465×D53C211yesmaximal, characteristic, complemented
23#20284262C211yesmaximal, characteristic, complemented
24#20284257C211yesmaximal, characteristic, complemented
25#20284031C211yesmaximal, characteristic, complemented
26#20284023C211yesmaximal, characteristic, complemented
27#20283974C211yesmaximal, characteristic, complemented
28#20283966C211yesmaximal, characteristic, complemented
29#20283595C211yesmaximal, characteristic, complemented
30#20283406C211yesmaximal, characteristic, complemented
31C53×#3270C211yesmaximal, characteristic, complemented
32C2×#13133265C2211yescharacteristic, complemented
33C2×#13133263C2211yescharacteristic, complemented
34C22×#11719949C2211yescharacteristic
35C22×#11719949C2211yescharacteristic, complemented
36#16811432—28no—
37C2×#13133249C2211yescharacteristic, complemented
38C2×#13133249C2211yescharacteristic, complemented
39C2×#13133249C2211yescharacteristic, complemented
40C2×#13133245C2211yescharacteristic, complemented
41C2×#13133244C2211yescharacteristic, complemented
42C2×#13133244C2211yescharacteristic, complemented
43C2×#13133244C2211yescharacteristic, complemented
44C2×#13133240—28no—
45C2×#13133240C2211yescharacteristic
46C2×#13133240C2211yescharacteristic
47C2×#13133240C2211yescharacteristic, complemented
48C2×#13133240C2211yescharacteristic, complemented
49C2×#13133240C2211yescharacteristic, complemented
50C2×#13133240C2211yescharacteristic, complemented
51C2×#13133240C2211yescharacteristic, complemented
52C2×#13133240C2211yescharacteristic, complemented
53C2×#13133240C2211yescharacteristic, complemented
54C2×#13133237C2211yescharacteristic, complemented
55C22×#11719924C2211yescharacteristic, complemented
56C22×#11719924C2211yescharacteristic, complemented
57C22×#11719924C2211yescharacteristic, complemented
58C2×SD16×D53C2211yescharacteristic, complemented
59C2×SD16×D53C2211yescharacteristic, complemented
60C22×D424C2211yescharacteristic, complemented
61C2×#13133225C2211yescharacteristic, complemented
62C22×C8×D53C2211yescharacteristic, complemented
63#16811295C2211yescharacteristic, complemented
64#16811292C2211yescharacteristic, complemented
65Q8×C22⋊D53C2211yescharacteristic, complemented
66#16811285C2211yescharacteristic, complemented
67#16811284C2211yescharacteristic
68#16811284C2211yescharacteristic, complemented
69#16811276—21no—
70#16811276C2211yescharacteristic, complemented
71#16811275—21no—
72#16811275C2211yescharacteristic, complemented
73#16811269—21no—
74#16811269C2211yescharacteristic, complemented
75#16811266—21no—
76#16811266C2211yescharacteristic, complemented
77#16811264—21no—
78#16811264—21no—
79#16811264C2211yescharacteristic, complemented
80#16811264C2211yescharacteristic, complemented
81D4×D212—21no—
82D4×D212C2211yescharacteristic
83#16811257—21no—
84#16811257C2211yescharacteristic
85#16811203—21no—
86#16811203—21no—
87#16811203C2211yescharacteristic, complemented
88#16811203C2211yescharacteristic, complemented
89#16811198—21no—
90#16811198C2211yescharacteristic, complemented
91#16811191—21no—
92#16811191C2211yescharacteristic, complemented
93#16811132—21no—
94#16811132—21no—
95#16811132C2211yescharacteristic
96C22⋊Q8×D53—21no—
97C22⋊Q8×D53C2211yescharacteristic, complemented
98#121×D53—21no—
99#121×D53C2211yescharacteristic
100#16811105C2211yescharacteristic, complemented
101#16811105C2211yescharacteristic, complemented
102#16811016C2211yescharacteristic, complemented
103#16811012C2211yescharacteristic, complemented
104#16811009C2211yescharacteristic, complemented
105#16811008C2211yescharacteristic, complemented
106#16811005C2211yescharacteristic, complemented
107#16810997C2211yescharacteristic, complemented
108#16810994C2211yescharacteristic, complemented
109#16810878C2211yescharacteristic, complemented
110#16810877C2211yescharacteristic, complemented
111#16810876C2211yescharacteristic, complemented
112#16810855C2211yescharacteristic, complemented
113#16810855C2211yescharacteristic, complemented
114#16810855C2211yescharacteristic, complemented
115#16810854C2211yescharacteristic, complemented
116#16810854C2211yescharacteristic, complemented
117#16810854C2211yescharacteristic, complemented
118#16810853C2211yescharacteristic, complemented
119#16810852C2211yescharacteristic, complemented
120#16810851C2211yescharacteristic, complemented
121#16810850C2211yescharacteristic, complemented
122#16810849C2211yescharacteristic, complemented
123#16810847C2211yescharacteristic, complemented
124#16810847C2211yescharacteristic, complemented
125#16810845C2211yescharacteristic, complemented
126#16810841C2211yescharacteristic, complemented
127#16810841C2211yescharacteristic, complemented
128#16810839C2211yescharacteristic, complemented
129#16810835C2211yescharacteristic, complemented
130#16810831C2211yescharacteristic, complemented
131#16810827C2211yescharacteristic, complemented
132#16810825C2211yescharacteristic, complemented
133#16810823C2211yescharacteristic, complemented
134#16810821C2211yescharacteristic, complemented
135#16810819C2211yescharacteristic, complemented
136#16810817C2211yescharacteristic, complemented
137#16810788C2211yescharacteristic, complemented
138#16810788C2211yescharacteristic, complemented
139#16810784C2211yescharacteristic, complemented
140#16810784C2211yescharacteristic, complemented
141#16810784C2211yescharacteristic, complemented
142#16810784C2211yescharacteristic, complemented
143#16810783C2211yescharacteristic, complemented
144#16810779C2211yescharacteristic, complemented
145#16810777C2211yescharacteristic, complemented
146#16810776C2211yescharacteristic, complemented
147#16810773C2211yescharacteristic, complemented
148#16810773C2211yescharacteristic, complemented
149#16810772C2211yescharacteristic, complemented
150#16810771C2211yescharacteristic, complemented
151#16810771C2211yescharacteristic, complemented
152#16810771C2211yescharacteristic, complemented
153#16810771C2211yescharacteristic, complemented
154#16810770C2211yescharacteristic, complemented
155#16810768C2211yescharacteristic, complemented
156#16810767C2211yescharacteristic, complemented
157#16810767C2211yescharacteristic, complemented
158#16810763C2211yescharacteristic, complemented
159#16810762C2211yescharacteristic, complemented
160#16810762C2211yescharacteristic, complemented
161#16810759C2211yescharacteristic, complemented
162#16810759C2211yescharacteristic, complemented
163#16810758C2211yescharacteristic, complemented
164#16810756C2211yescharacteristic, complemented
165#16810736C2211yescharacteristic, complemented
166#16810734C2211yescharacteristic, complemented
167#16810730C2211yescharacteristic, complemented
168C4×#11719924C2211yescharacteristic, complemented
169C4×#11719924C2211yescharacteristic, complemented
170#16810708C2211yescharacteristic, complemented
171#16810708C2211yescharacteristic, complemented
172#16810696C2211yescharacteristic, complemented
173#16810694C2211yescharacteristic, complemented
174#16810692C2211yescharacteristic, complemented
175D4×#88322C2211yescharacteristic, complemented
176#16810688C2211yescharacteristic, complemented
177#16810686C2211yescharacteristic, complemented
178#16810686C2211yescharacteristic, complemented
179#106×D53C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810623C2211yescharacteristic, complemented
182#16810623C2211yescharacteristic, complemented
183#16810623C2211yescharacteristic, complemented
184#16810623C2211yescharacteristic, complemented
185#103×D53C2211yescharacteristic, complemented
186#102×D53C2211yescharacteristic, complemented
187#16810588C2211yescharacteristic, complemented
188#16810585C2211yescharacteristic, complemented
189#16810580C2211yescharacteristic, complemented
190C2×#137×C53C2211yescharacteristic, complemented
191C22×Q16×C53C2211yescharacteristic, complemented
192D4×Q8×C53C2211yescharacteristic, complemented
193C53×#548C2211yescharacteristic
194C53×#497C2211yescharacteristic, complemented
195C53×#470C2211yescharacteristic, complemented
196C53×#465C2211yescharacteristic, complemented
197C53×#464C2211yescharacteristic, complemented
198C53×#462C2211yescharacteristic, complemented
199C53×#452C2211yescharacteristic, complemented
200C53×#451C2211yescharacteristic, complemented
201C53×#451C2211yescharacteristic, complemented
202C53×#448C2211yescharacteristic, complemented
203C53×#441C2211yescharacteristic, complemented
204C53×#435C2211yescharacteristic, complemented
205#13133265—24no—
206#13133265—42no—
207#13133263—24no—
208#13133263—42no—
209C2×#11719949—21no—
210C2×#11719949—21no—
211C2×#11719949—21no—
212C2×#11719949—21no—
213C2×#11719949—21no—
214C2×#11719949—24no—
215C2×#11719949—24no—
216C2×#11719949—42no—
217C2×#11719949—42no—
218C2×#11719949C2311yescharacteristic
219C2×#11719949C2311yescharacteristic
220C2×#11719949C2311yescharacteristic
221C2×#11719949C2311yescharacteristic
222C2×#11719949C2311yescharacteristic
223C2×#11719949C2311yescharacteristic
224C2×#11719949C2311yescharacteristic
225C2×#11719949C2311yescharacteristic
226C2×#11719949C2311yescharacteristic
227C2×#11719949C2311yescharacteristic
228C2×#11719945—21no—
229C2×#11719945—21no—
230C2×#11719945—21no—
231C2×#11719945C2311yescharacteristic
232C2×#11719945C2311yescharacteristic
233C2×Q8×D53—21no—
234C2×Q8×D53C2311yescharacteristic
235C2×Q8×D53C2311yescharacteristic
236C22×D212—21no—
237C22×D212—21no—
238C22×D212—21no—
239C22×D212C2311yescharacteristic
240C22×D212C2311yescharacteristic
241C22×D212C2311yescharacteristic
242C2×D4×D53—21no—
243C2×D4×D53—21no—
244C2×D4×D53—21no—
245C2×D4×D53—21no—
246C2×D4×D53—21no—
247C2×D4×D53C2311yescharacteristic
248C2×D4×D53C2311yescharacteristic
249C22×C4×D53—21no—
250C22×C4×D53—21no—
251C22×C4×D53C2311yescharacteristic
252#13133249—24no—
253#13133249—24no—
254#13133249—42no—
255#13133245—24no—
256#13133244—24no—
257#13133244—24no—
258#13133244—42no—
259#13133240—24no—
260#13133240—24no—
261#13133240—24no—
262#13133240—24no—
263#13133240—24no—
264#13133240—24no—
265#13133240—24no—
266#13133240—24no—
267#13133240D418yescomplemented
268#13133237—24no—
269C2×#11719925C2311yescharacteristic
270C2×#11719925C2311yescharacteristic
271C2×#11719913C2311yescharacteristic
272C2×#11719913C2311yescharacteristic
273C2×#11719913C2311yescharacteristic
274C2×#11719923C2311yescharacteristic
275C2×#11719924—24no—
276C2×#11719924—24no—
277C2×#11719924—24no—
278C2×#11719924C2311yescharacteristic
279C2×#11719924C2311yescharacteristic
280C2×#11719924C2311yescharacteristic
281C2×#11719924C2311yescharacteristic
282C2×#11719924C2311yescharacteristic
283C2×#11719924C2311yescharacteristic
284C2×#11719924C2311yescharacteristic
285C2×#11719924C2311yescharacteristic
286C2×#11719924C2311yescharacteristic
287C2×#11719924C2311yescharacteristic
288C2×#11719924C2311yescharacteristic
289C2×#11719924C2311yescharacteristic
290C2×#11719924C2311yescharacteristic
291SD16×D53—24no—
292SD16×D53—24no—
293C2×D424—24no—
294C2×D424C2311yescharacteristic
295C2×D424C2311yescharacteristic
296C2×D424C2311yescharacteristic
297C2×D424C2311yescharacteristic
298C2×D424C2311yescharacteristic
299C2×D424C2311yescharacteristic
300C2×#11719922C2311yescharacteristic
301C2×#11719922C2311yescharacteristic
302#13133225—24no—
303C2×#11719912C2311yescharacteristic
304C2×#11719912C2311yescharacteristic
305C2×#11719912C2311yescharacteristic
306C22×#88322C2311yescharacteristic
307C22×#88322C2311yescharacteristic
308C2×C8×D53—24no—
309C2×C8×D53C2311yescharacteristic
310C2×C8×D53C2311yescharacteristic
311C2×C8×D53C2311yescharacteristic
312C2×C8×D53C2311yescharacteristic
313C2×C8×D53C2311yescharacteristic
314#13133215—21no—
315#13133215C2311yescharacteristic
316#13133214—21no—
317#13133214C2311yescharacteristic
318#13133213—21no—
319#13133213C2311yescharacteristic
320#13133206—21no—
321#13133206—21no—
322#13133206C2311yescharacteristic
323#13133206C2311yescharacteristic
324#13133205—21no—
325#13133205C2311yescharacteristic
326#13133202—21no—
327#13133202—21no—
328#13133202—21no—
329#13133202—21no—
330#13133202—21no—
331#13133202—21no—
332#13133202—21no—
333#13133202—21no—
334#13133202D411yescharacteristic
335#13133199—21no—
336#13133199—21no—
337#13133199D411yescharacteristic
338#13133197—21no—
339#13133197C2311yescharacteristic
340#13133196—21no—
341#13133196C2311yescharacteristic
342#13133195—21no—
343#13133195—21no—
344#13133195—21no—
345#13133195—21no—
346#13133195—21no—
347#13133195D411yescharacteristic
348#13133194—21no—
349#13133194D411yescharacteristic
350#13133193—21no—
351#13133193—21no—
352#13133193—21no—
353#13133193C2311yescharacteristic
354#13133193C2311yescharacteristic
355#13133193C2311yescharacteristic
356#13133192—21no—
357#13133192—21no—
358#13133192—21no—
359#13133192—21no—
360#13133192—21no—
361#13133192—21no—
362#13133192—21no—
363#13133192—21no—
364#13133192—21no—
365#13133192C2311yescharacteristic
366#13133192C2311yescharacteristic
367#13133192C2311yescharacteristic
368#13133191—21no—
369#13133191—21no—
370#13133191—21no—
371#13133191C2311yescharacteristic
372#13133191C2311yescharacteristic
373#13133191C2311yescharacteristic
374#13133190—21no—
375#13133190—21no—
376#13133190—21no—
377#13133190—21no—
378#13133190—21no—
379#13133190—21no—
380#13133190—21no—
381#13133190—21no—
382#13133190—21no—
383#13133190—21no—
384#13133190—21no—
385#13133190D411yescharacteristic
386#13133189—21no—
387#13133189D411yescharacteristic
388#13133188—21no—
389#13133188C2311yescharacteristic
390#13133187—21no—
391#13133187—21no—
392#13133187—21no—
393#13133187—21no—
394#13133187—21no—
395#13133187—21no—
396#13133187—21no—
397#13133187—21no—
398#13133187D411yescharacteristic
399#13133185—21no—
400#13133185—21no—
401#13133185D411yescharacteristic
402Q8×Dic53C2311yescharacteristic
403Q8×Dic53C2311yescharacteristic
404C4×D212—21no—
405C4×D212—21no—
406C4×D212—21no—
407C4×D212—21no—
408C4×D212C2311yescharacteristic
409C4×D212C2311yescharacteristic
410C4×D212C2311yescharacteristic
411#13133179—21no—
412#13133179—21no—
413#13133179C2311yescharacteristic
414#13133179C2311yescharacteristic
415C4×C22⋊D53—21no—
416C4×C22⋊D53—21no—
417C4×C22⋊D53—21no—
418C4×C22⋊D53—21no—
419C4×C22⋊D53C2311yescharacteristic
420C4×C22⋊D53C2311yescharacteristic
421#13133174—21no—
422#13133174—21no—
423#13133174C2311yescharacteristic
424C4⋊C4×D53—21no—
425C4⋊C4×D53—21no—
426C4⋊C4×D53—21no—
427C4⋊C4×D53—21no—
428C4⋊C4×D53—21no—
429C4⋊C4×D53C2311yescharacteristic
430C4⋊C4×D53C2311yescharacteristic
431C22⋊C4×D53—21no—
432C22⋊C4×D53—21no—
433C22⋊C4×D53—21no—
434C22⋊C4×D53—21no—
435C22⋊C4×D53—21no—
436C22⋊C4×D53—21no—
437#13133149C2311yescharacteristic
438#13133148C2311yescharacteristic
439#13133148C2311yescharacteristic
440C4⋊#88322C2311yescharacteristic
441#13133146C2311yescharacteristic
442#13133146C2311yescharacteristic
443#13133142C2311yescharacteristic
444#13133141C2311yescharacteristic
445#13133141C2311yescharacteristic
446#13133141C2311yescharacteristic
447#13133141C2311yescharacteristic
448#13133141C2311yescharacteristic
449#13133140C2311yescharacteristic
450#13133139C2311yescharacteristic
451#13133139C2311yescharacteristic
452#13133139C2311yescharacteristic
453#13133139C2311yescharacteristic
454#13133139C2311yescharacteristic
455#13133138C2311yescharacteristic
456#13133137C2311yescharacteristic
457#13133137C2311yescharacteristic
458#13133137C2311yescharacteristic
459#13133137C2311yescharacteristic
460#13133137C2311yescharacteristic
461C22⋊#88322C2311yescharacteristic
462C22⋊#88322C2311yescharacteristic
463#13133129C2311yescharacteristic
464#13133129C2311yescharacteristic
465#13133129C2311yescharacteristic
466#13133129C2311yescharacteristic
467#13133127C2311yescharacteristic
468C4×#88322C2311yescharacteristic
469C8×Dic53C2311yescharacteristic
470C2×#41×C53C2311yescharacteristic
471C22×Q8×C53C2311yescharacteristic
472C22×Q8×C53C2311yescharacteristic
473C22×Q8×C53C2311yescharacteristic
474#137×C53—24no—
475C2×Q16×C53—24no—
476C2×Q16×C53C2311yescharacteristic
477C2×Q16×C53C2311yescharacteristic
478C2×Q16×C53C2311yescharacteristic
479C2×Q16×C53C2311yescharacteristic
480C2×Q16×C53C2311yescharacteristic
481C2×Q16×C53C2311yescharacteristic
482C2×SD16×C53C2311yescharacteristic
483C2×SD16×C53C2311yescharacteristic
484C2×SD16×C53C2311yescharacteristic
485C2×M16×C53C2311yescharacteristic
486C22×C8×C53C2311yescharacteristic
487C4⋊Q8×C53—21no—
488C4⋊Q8×C53C2311yescharacteristic
489#124×C53—21no—
490#124×C53C2311yescharacteristic
491C22⋊Q8×C53—21no—
492C22⋊Q8×C53—21no—
493C22⋊Q8×C53—21no—
494C22⋊Q8×C53C2311yescharacteristic
495C22⋊Q8×C53C2311yescharacteristic
496C22⋊Q8×C53C2311yescharacteristic
497#121×C53—21no—
498#121×C53C2311yescharacteristic
499C4×Q8×C53C2311yescharacteristic
500C4×Q8×C53C2311yescharacteristic
501C4×D4×C53—21no—
502C4×D4×C53—21no—
503C4×D4×C53C2311yescharacteristic
504#106×C53C2311yescharacteristic
505C4⋊C8×C53C2311yescharacteristic
506#103×C53C2311yescharacteristic
507#103×C53C2311yescharacteristic
508#103×C53C2311yescharacteristic
509#103×C53C2311yescharacteristic
510#103×C53C2311yescharacteristic
511#102×C53C2311yescharacteristic
512C22⋊C8×C53C2311yescharacteristic
513C22⋊C8×C53C2311yescharacteristic
514#97×C53C2311yescharacteristic
515C23×D53—21no—
516C23×D53—21no—
517C23×D53—21no—
518C23×D53—21no—
519C23×D53—21no—
520C23×D53C2×D411yescharacteristic
521#41×C53—22no—
522#41×C53—41no—
523C2×Q8×C53—21no—
524C2×Q8×C53—21no—
525C2×Q8×C53—21no—
526C2×Q8×C53—22no—
527C2×Q8×C53—22no—
528C2×Q8×C53—22no—
529C2×Q8×C53—41no—
530C2×Q8×C53—41no—
531C2×Q8×C53—41no—
532C2×Q8×C53C2411yescharacteristic
533C2×Q8×C53C2411yescharacteristic
534C2×Q8×C53C2411yescharacteristic
535C2×Q8×C53C2411yescharacteristic
536C2×Q8×C53C2411yescharacteristic
537C2×D4×C53—21no—
538C2×D4×C53—21no—
539C2×D4×C53C2×D411yescharacteristic
540C2×D4×C53C2411yescharacteristic
541C22×C4×C53—21no—
542C22×C4×C53—21no—
543C22×C4×C53—21no—
544C22×C4×C53—21no—
545C22×C4×C53C2411yescharacteristic
546C22×C4×C53C2411yescharacteristic
547C2×C22⋊D53—21no—
548C2×C22⋊D53—21no—
549C2×C22⋊D53—21no—
550C2×C22⋊D53—21no—
551C2×C22⋊D53—21no—
552C2×C22⋊D53—21no—
553C2×C22⋊D53—21no—
554C2×C22⋊D53—21no—
555C2×C22⋊D53—21no—
556C2×C22⋊D53C2×D411yescharacteristic
557C2×C22⋊D53C2×D411yescharacteristic
558C2×C22⋊D53C2×D411yescharacteristic
559C2×C22⋊D53C2×D411yescharacteristic
560C22×Dic53C2×D411yescharacteristic
561#11719949—22no—
562#11719949—22no—
563#11719949—22no—
564#11719949—22no—
565#11719949—22no—
566#11719949—22no—
567#11719949—22no—
568#11719949—22no—
569#11719949—22no—
570#11719949—22no—
571#11719949—22no—
572#11719949—22no—
573#11719949—44no—
574#11719949—44no—
575#11719949—41no—
576#11719949—41no—
577#11719949—41no—
578#11719949—41no—
579#11719949—41no—
580#11719949—41no—
581#11719949—44no—
582#11719949—44no—
583#11719949—44no—
584#11719949C2×D414yes—
585#11719949C2×D414yescomplemented
586Q8×D53—22no—
587Q8×D53—22no—
588Q8×D53—22no—
589Q8×D53—41no—
590Q8×D53—44no—
591D4×D53—22no—
592D4×D53—22no—
593D4×D53—22no—
594D4×D53—41no—
595D4×D53—44no—
596D4×D53—44no—
597D4×D53—82no—
598D4×D53—82no—
599D4×D53—82no—
600#11719945—22no—
601#11719945—22no—
602#11719945—22no—
603#11719945—44no—
604#11719945—41no—
605#11719945—44no—
606#11719945—44no—
607C2×D212—21no—
608C2×D212—21no—
609C2×D212—22no—
610C2×D212—22no—
611C2×D212—22no—
612C2×D212—21no—
613C2×D212—21no—
614C2×D212—21no—
615C2×D212—21no—
616C2×D212—21no—
617C2×D212—21no—
618C2×D212—21no—
619C2×D212—21no—
620C2×D212—21no—
621C2×D212—21no—
622C2×D212—21no—
623C2×D212—21no—
624C2×D212—21no—
625C2×D212—21no—
626C2×D212—21no—
627C2×D212—21no—
628C2×D212—41no—
629C2×D212—41no—
630C2×D212—41no—
631C2×D212—44no—
632C2×D212—44no—
633C2×D212—44no—
634C2×D212C2×D411yescharacteristic
635C2×D212C2×D411yescharacteristic
636C2×D212C2411yescharacteristic
637C2×D212C2411yescharacteristic
638C2×D212C2411yescharacteristic
639C2×D212C2411yescharacteristic
640C2×D212C2411yescharacteristic
641C2×C4×D53—21no—
642C2×C4×D53—21no—
643C2×C4×D53—22no—
644C2×C4×D53—22no—
645C2×C4×D53—21no—
646C2×C4×D53—21no—
647C2×C4×D53—21no—
648C2×C4×D53—21no—
649C2×C4×D53—21no—
650C2×C4×D53—21no—
651C2×C4×D53—21no—
652C2×C4×D53—21no—
653C2×C4×D53—21no—
654C2×C4×D53—21no—
655C2×C4×D53—21no—
656C2×C4×D53—21no—
657C2×C4×D53—21no—
658C2×C4×D53—21no—
659C2×C4×D53—21no—
660C2×C4×D53—21no—
661C2×C4×D53—21no—
662C2×C4×D53—44no—
663C2×C4×D53—44no—
664C2×C4×D53C2×D411yescharacteristic
665C2×C4×D53C2×D411yescharacteristic
666C2×C4×D53C2411yescharacteristic
667C2×C4×D53C2411yescharacteristic
668C2×C4×D53C2411yescharacteristic
669C2×Dic106—21no—
670C2×Dic106—21no—
671C2×Dic106C2×D411yescharacteristic
672C2×Dic106C2411yescharacteristic
673Q16×C53—22no—
674Q16×C53—22no—
675Q16×C53—22no—
676Q16×C53—22no—
677Q16×C53—41no—
678Q16×C53C2×D414yescomplemented
679SD16×C53—22no—
680SD16×C53—22no—
681SD16×C53—41no—
682M16×C53—22no—
683C2×C8×C53—22no—
684C2×C8×C53C2411yescharacteristic
685C2×C8×C53C2411yescharacteristic
686C2×C8×C53C2411yescharacteristic
687C2×C8×C53C2411yescharacteristic
688C4⋊C4×C53—21no—
689C4⋊C4×C53—21no—
690C4⋊C4×C53—21no—
691C4⋊C4×C53—21no—
692C4⋊C4×C53—21no—
693C4⋊C4×C53—21no—
694C4⋊C4×C53—21no—
695C4⋊C4×C53C2×D411yescharacteristic
696C4⋊C4×C53C2411yescharacteristic
697C4⋊C4×C53C2411yescharacteristic
698C22⋊C4×C53—21no—
699C22⋊C4×C53—21no—
700C22⋊C4×C53—21no—
701C22⋊C4×C53—21no—
702C22⋊C4×C53—21no—
703C22⋊C4×C53—21no—
704C22⋊C4×C53C2×D411yescharacteristic
705C22⋊C4×C53C2×D411yescharacteristic
706C42×C53—21no—
707C42×C53—21no—
708C42×C53C2411yescharacteristic
709C22⋊Dic53—21no—
710C22⋊Dic53—21no—
711C22⋊Dic53C2×D411yescharacteristic
712C22⋊Dic53C2×D411yescharacteristic
713#11719925—22no—
714#11719925—41no—
715#11719924—22no—
716#11719924—22no—
717#11719924—22no—
718#11719924—22no—
719#11719924—22no—
720#11719924—22no—
721#11719924—22no—
722#11719924—22no—
723#11719924—22no—
724#11719924—41no—
725#11719924—41no—
726#11719924C2×D414yescomplemented
727#11719924C2×D414yescomplemented
728#11719923—22no—
729#11719922—22no—
730#11719922—41no—
731#11719921—21no—
732#11719921—21no—
733#11719921—21no—
734#11719921—21no—
735#11719921—21no—
736#11719921—21no—
737#11719921—21no—
738#11719921—21no—
739#11719921—21no—
740#11719921—21no—
741#11719921—21no—
742#11719921—21no—
743#11719921—21no—
744#11719921—21no—
745#11719921—21no—
746#11719921—21no—
747#11719921—21no—
748#11719921—21no—
749#11719921—21no—
750#11719921—21no—
751#11719921C2×D411yescharacteristic
752#11719921C2×D411yescharacteristic
753#11719921C2×D411yescharacteristic
754#11719921C2×D411yescharacteristic
755#11719921C2×D411yescharacteristic
756#11719921C2×D411yescharacteristic
757C4⋊Dic53—21no—
758C4⋊Dic53—21no—
759C4⋊Dic53—21no—
760C4⋊Dic53C2×D411yescharacteristic
761C4⋊Dic53C2411yescharacteristic
762C4⋊Dic53C2411yescharacteristic
763#11719919—21no—
764#11719919—21no—
765#11719919—21no—
766#11719919—21no—
767#11719919—21no—
768#11719919—21no—
769#11719919—21no—
770#11719919—21no—
771#11719919C2×D411yescharacteristic
772#11719919C2×D411yescharacteristic
773#11719919C2×D411yescharacteristic
774#11719919C2×D411yescharacteristic
775C4×Dic53—21no—
776C4×Dic53—21no—
777C4×Dic53C2411yescharacteristic
778C2×#88322—22no—
779C2×#88322—22no—
780C2×#88322C2411yescharacteristic
781C2×#88322C2411yescharacteristic
782C2×#88322C2411yescharacteristic
783C2×#88322C2411yescharacteristic
784D424—22no—
785D424—22no—
786D424—22no—
787D424—22no—
788D424—41no—
789D424C2×D414yescomplemented
790#11719913—22no—
791#11719913—22no—
792#11719913—41no—
793#11719912—22no—
794#11719912—22no—
795#11719912—22no—
796C8×D53—22no—
797C8×D53—22no—
798C8×D53—22no—
799C8×D53—22no—
800C8×D53C2×D414yescomplemented
801C23×C53—21no—
802C23×C53C22×D411yescharacteristic
803C23×C53C22×D411yescharacteristic
804C22×D53—22no—
805C22×D53—21no—
806C22×D53—21no—
807C22×D53—22no—
808C22×D53—21no—
809C22×D53—21no—
810C22×D53—21no—
811C22×D53—41no—
812C22×D53—42no—
813C22×D53—42no—
814C22×D53—42no—
815C22×D53—42no—
816C22×D53—42no—
817C22×D53—42no—
818C22×D53—42no—
819C22×D53—81no—
820C22×D53—81no—
821C22×D53—81no—
822C22×D53—81no—
823C22×D53—81no—
824C22×D53—81no—
825C22×D53—81no—
826C22×D53—81no—
827C22×D53C22×D411yescharacteristic
828C22×D53C22×D411yescharacteristic
829C22×D53C22×D411yescharacteristic
830Q8×C53—21no—
831Q8×C53—21no—
832Q8×C53—21no—
833Q8×C53—21no—
834Q8×C53—21no—
835Q8×C53—21no—
836Q8×C53—21no—
837Q8×C53—21no—
838Q8×C53—42no—
839Q8×C53—42no—
840Q8×C53—42no—
841Q8×C53C22×D412yes—
842Q8×C53C22×D412yes—
843D4×C53—22no—
844D4×C53—21no—
845D4×C53—21no—
846D4×C53—42no—
847D4×C53—42no—
848C2×C4×C53—21no—
849C2×C4×C53—21no—
850C2×C4×C53—21no—
851C2×C4×C53—21no—
852C2×C4×C53—21no—
853C2×C4×C53—21no—
854C2×C4×C53—21no—
855C2×C4×C53—21no—
856C2×C4×C53—21no—
857C2×C4×C53—21no—
858C2×C4×C53—21no—
859C2×C4×C53—42no—
860C2×C4×C53—42no—
861C2×C4×C53—42no—
862C2×C4×C53—42no—
863C2×C4×C53C22×D411yescharacteristic
864C2×C4×C53C22×D411yescharacteristic
865C2×C4×C53C22×D411yescharacteristic
866C2×C4×C53C22×D411yescharacteristic
867C2×C4×C53C2511yescharacteristic
868C22⋊D53—22no—
869C22⋊D53—22no—
870C22⋊D53—22no—
871C22⋊D53—41no—
872C22⋊D53—42no—
873C22⋊D53—42no—
874C22⋊D53—42no—
875C22⋊D53—42no—
876C22⋊D53—81no—
877C22⋊D53—81no—
878C22⋊D53—81no—
879C22⋊D53—81no—
880C22⋊D53—81no—
881C2×Dic53—22no—
882C2×Dic53—21no—
883C2×Dic53—21no—
884C2×Dic53—21no—
885C2×Dic53C22×D411yescharacteristic
886C2×Dic53C22×D411yescharacteristic
887C2×Dic53C22×D411yescharacteristic
888C2×Dic53C22×D411yescharacteristic
889C2×Dic53C22×D411yescharacteristic
890D212—24no—
891D212—24no—
892D212—22no—
893D212—21no—
894D212—21no—
895D212—21no—
896D212—21no—
897D212—21no—
898D212—21no—
899D212—21no—
900D212—21no—
901D212—41no—
902D212—42no—
903D212—42no—
904D212—42no—
905D212—42no—
906D212—42no—
907D212—42no—
908D212—42no—
909D212—42no—
910D212—42no—
911D212—42no—
912D212—42no—
913D212—81no—
914D212—81no—
915D212—81no—
916D212—81no—
917D212—81no—
918D212C22×D412yes—
919D212C22×D412yes—
920C4×D53—22no—
921C4×D53—21no—
922C4×D53—21no—
923C4×D53—21no—
924C4×D53—21no—
925C4×D53—22no—
926C4×D53—24no—
927C4×D53—24no—
928C4×D53—42no—
929C4×D53—42no—
930C4×D53—42no—
931C4×D53—42no—
932C4×D53—42no—
933C4×D53—42no—
934C4×D53—42no—
935C4×D53—42no—
936C4×D53—42no—
937C4×D53—42no—
938C4×D53—42no—
939C4×D53—81no—
940C4×D53—81no—
941C4×D53—81no—
942C4×D53—81no—
943C4×D53—81no—
944C4×D53—81no—
945C4×D53C22×D412yes—
946C4×D53H(5,𝔽2)12yes—
947Dic106—22no—
948Dic106—21no—
949Dic106—21no—
950Dic106—42no—
951Dic106—42no—
952C8×C53—21no—
953C8×C53—21no—
954C8×C53—21no—
955C8×C53C22×D412yes—
956#88322—21no—
957#88322—21no—
958#88322—21no—
959#88322C22×D412yes—
960#61055—531nomaximal, Sylow
961C22×C53—21no—
962C22×C53—21no—
963C22×C53—21no—
964C22×C53—21no—
965C22×C53—21no—
966C22×C53—41no—
967C22×C53—41no—
968C22×C53—41no—
969C22×C53#57712yescomplemented
970C22×C53C23×D411yescharacteristic
971C2×D53—21no—
972C2×D53—21no—
973C2×D53—21no—
974C2×D53—21no—
975C2×D53—21no—
976C2×D53—22no—
977C2×D53—21no—
978C2×D53—22no—
979C2×D53—21no—
980C2×D53—21no—
981C2×D53—44no—
982C2×D53—41no—
983C2×D53—41no—
984C2×D53—41no—
985C2×D53—41no—
986C2×D53—41no—
987C2×D53—41no—
988C2×D53—41no—
989C2×D53—41no—
990C2×D53—41no—
991C2×D53—41no—
992C2×D53—41no—
993C2×D53—41no—
994C2×D53—41no—
995C2×D53—84no—
996C2×D53—84no—
997C2×D53—162no—
998C2×D53—162no—
999C2×D53—162no—
1000C2×D53D4212yes—
1001C4×C53—21no—
1002C4×C53—21no—
1003C4×C53—22no—
1004C4×C53—21no—
1005C4×C53—22no—
1006C4×C53—21no—
1007C4×C53—41no—
1008C4×C53—41no—
1009C4×C53—41no—
1010C4×C53—41no—
1011C4×C53—41no—
1012C4×C53C23×D411yescharacteristic
1013C4×C53C2×H(5,𝔽2)11yescharacteristic
1014Dic53—21no—
1015Dic53—21no—
1016Dic53—21no—
1017Dic53—21no—
1018Dic53—41no—
1019Dic53—41no—
1020Dic53—41no—
1021Dic53D4212yes—
1022C2×#577—531no—
1023C22×#135—531no—
1024#3489—531no—
1025#3488—531no—
1026#3284—531no—
1027#3284—531no—
1028#3282—531no—
1029#3282—531no—
1030#3282—531no—
1031#3282—531no—
1032D4×SD16—531no—
1033D4×SD16—531no—
1034#3271—531no—
1035#3271—531no—
1036#3270—531no—
1037#3270D5311yescharacteristic, complemented
1038#3267—531no—
1039#3267—531no—
1040#3264—531no—
1041#3264—531no—
1042#3154—531no—
1043#3060—531no—
1044C2×#465—531no—
1045#3046—531no—
1046#3045—531no—
1047#3013—531no—
1048#3012—531no—
1049#3007—531no—
1050#3006—531no—
1051#2952—531no—
1052#2929—531no—
1053C2×C53—22no—
1054C2×C53—41no—
1055C2×C53—81no—
1056C2×C53C2×D4211yescharacteristic
1057C2×C53C2×#57711yescharacteristic
1058C2×C53#358411yescharacteristic
1059D53—22no—
1060D53—41no—
1061D53—41no—
1062D53—42no—
1063D53—42no—
1064D53—81no—
1065D53—81no—
1066D53—81no—
1067C2×2−1+4—531no—
1068C2×H(5,𝔽2)—531no—
1069C22×#41—531no—
1070C22×#41—531no—
1071#577—1068no—
1072C2×#137—531no—
1073C2×#137—531no—
1074C2×#137—531no—
1075C2×#137C2×D5311yescharacteristic, complemented
1076C2×AGL(1,ℤ/8)—531no—
1077C2×AGL(1,ℤ/8)—531no—
1078C2×AGL(1,ℤ/8)—531no—
1079C2×AGL(1,ℤ/8)—531no—
1080C2×#135—531no—
1081C2×#135—531no—
1082C2×#135—531no—
1083C2×#135—531no—
1084C2×#135—531no—
1085C2×#135—531no—
1086C2×#135—531no—
1087C2×#135—531no—
1088C2×#135—531no—
1089C2×#135—531no—
1090C2×#135—1068no—
1091C22×Q16C2×D5311yescharacteristic, complemented
1092C22×SD16—531no—
1093C22×SD16—531no—
1094C22×SD16—531no—
1095C22×SD16—531no—
1096C22×SD16—531no—
1097C22×D8—531no—
1098C2×#131—531no—
1099C23×C8—531no—
1100#550—531no—
1101#550—531no—
1102D4×Q8—531no—
1103D4×Q8C2×D5311yescharacteristic, complemented
1104#548—531no—
1105#548—531no—
1106#548—531no—
1107#548C2×D5311yescharacteristic
1108#547—531no—
1109#547—531no—
1110#547—1061no—
1111#547—1061no—
1112#546—531no—
1113#546—531no—
1114#546—531no—
1115#546—531no—
1116#546—1061no—
1117#546—1061no—
1118#546—1061no—
1119#546—1061no—
1120D42—531no—
1121D42—531no—
1122D42—1061no—
1123D42—1061no—
1124#537—531no—
1125#537—531no—
1126#537—1061no—
1127#537—1061no—
1128#536—531no—
1129#536—1061no—
1130#535—531no—
1131#535—1061no—
1132#525—531no—
1133#525—1061no—
1134#525—1061no—
1135C2×C22⋊Q8—531no—
1136C2×C22⋊Q8—1061no—
1137C2×#121—531no—
1138C2×#121—1061no—
1139#520—531no—
1140#520—531no—
1141#497—531no—
1142#497C2×D5311yescharacteristic, complemented
1143#496—531no—
1144#496—531no—
1145#495—531no—
1146#495—531no—
1147#492—531no—
1148#492—531no—
1149#470—531no—
1150#470C2×D5311yescharacteristic, complemented
1151#469—531no—
1152#469—531no—
1153#465—531no—
1154#465—531no—
1155#465—531no—
1156#465—531no—
1157#465—531no—
1158#465—531no—
1159#465—531no—
1160#465—531no—
1161#465—531no—
1162#465—531no—
1163#465—531no—
1164#465C2×D5311yescharacteristic, complemented
1165#464—531no—
1166#464—531no—
1167#464—531no—
1168#464C2×D5311yescharacteristic, complemented
1169#463—531no—
1170#463—531no—
1171#463—531no—
1172#463—531no—
1173#462—531no—
1174#462C2×D5311yescharacteristic, complemented
1175#461—531no—
1176#461—531no—
1177#460—531no—
1178#460—531no—
1179#459—531no—
1180#459—531no—
1181#452—531no—
1182#452—531no—
1183#452—531no—
1184#452—531no—
1185#452—531no—
1186#452—531no—
1187#452—531no—
1188#452C2×D5311yescharacteristic, complemented
1189#451—531no—
1190#451—531no—
1191#451C2×D5311yescharacteristic, complemented
1192#451C2×D5311yescharacteristic, complemented
1193#450—531no—
1194#450—531no—
1195#450—531no—
1196#450—531no—
1197#449—531no—
1198#449—531no—
1199#449—531no—
1200#449—531no—
1201#449—531no—
1202#449—531no—
1203#449—531no—
1204#449—531no—
1205#448—531no—
1206#448—531no—
1207#448—531no—
1208#448C2×D5311yescharacteristic, complemented
1209#447—531no—
1210#447—531no—
1211#447—531no—
1212#447—531no—
1213#442—531no—
1214#442—531no—
1215#441—531no—
1216#441C2×D5311yescharacteristic, complemented
1217C4×SD16—531no—
1218C4×SD16—531no—
1219C4×SD16—531no—
1220C4×SD16—531no—
1221#435—531no—
1222#435—531no—
1223#435—531no—
1224#435C2×D5311yescharacteristic, complemented
1225C8×D4—531no—
1226C8×D4—531no—
1227C8×D4—531no—
1228C8×D4—531no—
1229C2×#106—531no—
1230#424—531no—
1231#417—531no—
1232#417—531no—
1233#417—531no—
1234#417—531no—
1235C2×#103—531no—
1236C2×#102—531no—
1237#408—531no—
1238#407—531no—
1239#405—531no—
1240C53#6105511yescharacteristic, complemented, Sylow
12412−1+4—1064no—
12422−1+4—2122no—
1243H(5,𝔽2)—1064no—
1244H(5,𝔽2)—2122no—
1245C2×#41—531no—
1246C2×#41—531no—
1247C2×#41—531no—
1248C2×#41—531no—
1249C2×#41—531no—
1250C2×#41—531no—
1251C2×#41—531no—
1252C2×#41—531no—
1253C2×#41—531no—
1254C2×#41—531no—
1255C2×#41—531no—
1256C2×#41—531no—
1257C2×#41—1061no—
1258C2×#41—1061no—
1259C2×#41—1061no—
1260C2×#41—1061no—
1261C2×#41—1061no—
1262C2×#41—1061no—
1263C2×#41—1061no—
1264C2×#41—1061no—
1265C2×#41—1064no—
1266C2×#41—1064no—
1267C2×#41—2122no—
1268C2×#41—2122no—
1269C2×#41C22×D5311yescharacteristic
1270C22×Q8—531no—
1271C22×Q8—531no—
1272C22×Q8—1061no—
1273C22×Q8C22×D5311yescharacteristic
1274C22×Q8C22×D5311yescharacteristic
1275C22×Q8C22×D5311yescharacteristic
1276C22×D4—531no—
1277C22×D4—531no—
1278C22×D4—531no—
1279C22×D4—531no—
1280C22×D4—531no—
1281C22×D4—1061no—
1282C22×D4—1061no—
1283C22×D4—1061no—
1284C22×D4—1061no—
1285C22×D4—1061no—
1286C22×D4—1061no—
1287C22×D4—1061no—
1288C22×D4—1061no—
1289C23×C4—531no—
1290C23×C4—1061no—
1291C23×C4—1061no—
1292#137—24no—
1293#137—1064no—
1294#137—1064no—
1295#137—2122no—
1296AGL(1,ℤ/8)—1064no—
1297AGL(1,ℤ/8)—1064no—
1298AGL(1,ℤ/8)—1064no—
1299AGL(1,ℤ/8)—2122no—
1300#135—538no—
1301#135—1064no—
1302#135—1064no—
1303#135—1064no—
1304#135—1064no—
1305#135—1064no—
1306#135—1064no—
1307#135—1064no—
1308#135—1064no—
1309#135—1064no—
1310C2×Q16—24no—
1311C2×Q16—531no—
1312C2×Q16—531no—
1313C2×Q16C22×D5311yescharacteristic
1314C2×Q16C22×D5311yescharacteristic
1315C2×Q16C22×D5311yescharacteristic
1316C2×Q16C22×D5311yescharacteristic
1317C2×Q16C22×D5311yescharacteristic
1318C2×Q16C22×D5311yescharacteristic
1319C2×SD16—531no—
1320C2×SD16—531no—
1321C2×SD16—531no—
1322C2×SD16—531no—
1323C2×SD16—531no—
1324C2×SD16—531no—
1325C2×SD16—531no—
1326C2×SD16—531no—
1327C2×SD16—531no—
1328C2×SD16—531no—
1329C2×SD16—531no—
1330C2×SD16—531no—
1331C2×SD16—531no—
1332C2×SD16—531no—
1333C2×SD16—531no—
1334C2×SD16—531no—
1335C2×SD16—531no—
1336C2×SD16—1064no—
1337C2×SD16—1064no—
1338C2×SD16—1064no—
1339C2×SD16—1064no—
1340C2×SD16—1064no—
1341C2×SD16C22×D5311yescharacteristic
1342C2×SD16C22×D5311yescharacteristic
1343C2×SD16C22×D5311yescharacteristic
1344C2×D8—531no—
1345C2×D8—531no—
1346C2×D8—531no—
1347C2×D8—531no—
1348C2×D8—531no—
1349C2×D8—531no—
1350C2×D8—531no—
1351C2×D8—531no—
1352C2×D8—1064no—
1353#131—1064no—
1354C2×M16—531no—
1355C2×M16—531no—
1356C2×M16—531no—
1357C2×M16C22×D5311yescharacteristic
1358C22×C8—531no—
1359C22×C8—531no—
1360C22×C8—531no—
1361C22×C8—531no—
1362C22×C8—531no—
1363C22×C8—531no—
1364C22×C8—531no—
1365C22×C8—1064no—
1366C22×C8C22×D5311yescharacteristic
1367C4⋊Q8—21no—
1368C4⋊Q8—531no—
1369C4⋊Q8—1061no—
1370C4⋊Q8C22×D5311yescharacteristic
1371#127—531no—
1372#127—531no—
1373#127—1061no—
1374#127—1061no—
1375#124—21no—
1376#124—531no—
1377#124—531no—
1378#124—531no—
1379#124—1061no—
1380#124—1061no—
1381#124—1061no—
1382#124C22×D5311yescharacteristic
1383#123—531no—
1384#123—531no—
1385#123—1061no—
1386#123—1061no—
1387#123—1061no—
1388#123—1061no—
1389#123—1061no—
1390#123—1061no—
1391#123—1061no—
1392#123—1061no—
1393#123—1061no—
1394#123—1061no—
1395C22⋊Q8—21no—
1396C22⋊Q8—21no—
1397C22⋊Q8—21no—
1398C22⋊Q8—531no—
1399C22⋊Q8—531no—
1400C22⋊Q8—531no—
1401C22⋊Q8—531no—
1402C22⋊Q8—531no—
1403C22⋊Q8—531no—
1404C22⋊Q8—531no—
1405C22⋊Q8—1061no—
1406C22⋊Q8—1061no—
1407C22⋊Q8—1061no—
1408C22⋊Q8—1061no—
1409C22⋊Q8—1061no—
1410C22⋊Q8—1061no—
1411C22⋊Q8—1061no—
1412C22⋊Q8—1061no—
1413C22⋊Q8—1061no—
1414C22⋊Q8—1061no—
1415C22⋊Q8—1061no—
1416C22⋊Q8C22×D5311yescharacteristic
1417C22⋊Q8C22×D5311yescharacteristic
1418C22⋊Q8C22×D5311yescharacteristic
1419#121—21no—
1420#121—531no—
1421#121—531no—
1422#121—531no—
1423#121—531no—
1424#121—531no—
1425#121—531no—
1426#121—531no—
1427#121—531no—
1428#121—531no—
1429#121—1061no—
1430#121—1061no—
1431#121—1061no—
1432#121—1061no—
1433#121—1061no—
1434#121—1061no—
1435#121—1061no—
1436#121—1061no—
1437#121—1061no—
1438#121—1061no—
1439#121—1061no—
1440#121—1061no—
1441#121—1061no—
1442#121—1061no—
1443#121—1061no—
1444#121—1061no—
1445#121—1061no—
1446#121—1061no—
1447#121—1061no—
1448#121—1061no—
1449#121—1061no—
1450#121—1061no—
1451#121—1061no—
1452#121—1061no—
1453#121—1061no—
1454#121C22×D5311yescharacteristic
1455#120—531no—
1456#120—531no—
1457#120—1061no—
1458#120—1061no—
1459#120—1061no—
1460#120—1061no—
1461#120—1061no—
1462#120—1061no—
1463#120—1061no—
1464#120—1061no—
1465#120—1061no—
1466#120—1061no—
1467C4×Q8—531no—
1468C4×Q8—531no—
1469C4×Q8C22×D5311yescharacteristic
1470C4×Q8C22×D5311yescharacteristic
1471C4×D4—21no—
1472C4×D4—21no—
1473C4×D4—531no—
1474C4×D4—531no—
1475C4×D4—531no—
1476C4×D4—531no—
1477C4×D4—531no—
1478C4×D4—531no—
1479C4×D4—531no—
1480C4×D4—1061no—
1481C4×D4—1061no—
1482C4×D4—1061no—
1483C4×D4—1061no—
1484C4×D4—1061no—
1485C4×D4—1061no—
1486C4×D4—1061no—
1487C4×D4—1061no—
1488C4×D4—1061no—
1489C4×D4—1061no—
1490C4×D4C22×D5311yescharacteristic
1491#117—531no—
1492#117—1061no—
1493#117—1061no—
1494C2×C4⋊C4—531no—
1495C2×C4⋊C4—531no—
1496C2×C4⋊C4—1061no—
1497C2×C4⋊C4—1061no—
1498C2×C4⋊C4—1061no—
1499C2×C4⋊C4—1061no—
1500C2×C4⋊C4—1061no—
1501C2×C22⋊C4—1061no—
1502C2×C22⋊C4—1061no—
1503C2×C22⋊C4—1061no—
1504C2×C22⋊C4—1061no—
1505C2×C22⋊C4—1061no—
1506C2×C22⋊C4—1061no—
1507#106—531no—
1508#106—531no—
1509#106—531no—
1510#106C22×D5311yescharacteristic
1511C4⋊C8—531no—
1512C4⋊C8—531no—
1513C4⋊C8—531no—
1514C4⋊C8C22×D5311yescharacteristic
1515#103—531no—
1516#103—531no—
1517#103—531no—
1518#103—531no—
1519#103—531no—
1520#103—531no—
1521#103—531no—
1522#103C22×D5311yescharacteristic
1523#103C22×D5311yescharacteristic
1524#103C22×D5311yescharacteristic
1525#103C22×D5311yescharacteristic
1526#103C22×D5311yescharacteristic
1527#102—531no—
1528#102—531no—
1529#102—531no—
1530#102—531no—
1531#102—531no—
1532#102—531no—
1533#102—531no—
1534#102—531no—
1535#102—531no—
1536#102—531no—
1537#102—531no—
1538#102C22×D5311yescharacteristic
1539C22⋊C8—531no—
1540C22⋊C8—531no—
1541C22⋊C8—531no—
1542C22⋊C8—531no—
1543C22⋊C8—531no—
1544C22⋊C8—531no—
1545C22⋊C8C22×D5311yescharacteristic
1546C22⋊C8C22×D5311yescharacteristic
1547#97—531no—
1548#97C22×D5311yescharacteristic
1549C4×C8—531no—
1550C4×C8—531no—
1551C24—531no—
1552C24—1061no—
1553C24—1061no—
1554C24—1061no—
1555C24—1061no—
1556C24—1061no—
1557#41—22no—
1558#41—41no—
1559#41—534no—
1560#41—534no—
1561#41—1062no—
1562#41—1062no—
1563#41—1062no—
1564#41—1062no—
1565#41—1062no—
1566#41—1062no—
1567#41—1062no—
1568#41—1062no—
1569#41—1062no—
1570#41—1062no—
1571#41—1062no—
1572#41—1062no—
1573#41—1062no—
1574#41—1062no—
1575#41—1062no—
1576#41—2121no—
1577#41—2124no—
1578#41—2124no—
1579#41—2124no—
1580#41—2124no—
1581#41—2124no—
1582#41—2121no—
1583#41—2121no—
1584#41—2121no—
1585#41—2121no—
1586#41—2121no—
1587#41—2121no—
1588#41—2124no—
1589#41—2124no—
1590#41—2124no—
1591C2×Q8—21no—
1592C2×Q8—21no—
1593C2×Q8—21no—
1594C2×Q8—22no—
1595C2×Q8—22no—
1596C2×Q8—22no—
1597C2×Q8—41no—
1598C2×Q8—41no—
1599C2×Q8—41no—
1600C2×Q8—531no—
1601C2×Q8—531no—
1602C2×Q8—1061no—
1603C2×Q8—1061no—
1604C2×Q8—1062no—
1605C2×Q8—1062no—
1606C2×Q8—1062no—
1607C2×Q8—2121no—
1608C2×Q8—2124no—
1609C2×Q8C23×D5311yescharacteristic
1610C2×Q8C23×D5311yescharacteristic
1611C2×Q8C23×D5311yescharacteristic
1612C2×Q8C23×D5311yescharacteristic
1613C2×Q8C23×D5311yescharacteristic
1614C2×D4—21no—
1615C2×D4—21no—
1616C2×D4—531no—
1617C2×D4—531no—
1618C2×D4—531no—
1619C2×D4—531no—
1620C2×D4—531no—
1621C2×D4—531no—
1622C2×D4—531no—
1623C2×D4—531no—
1624C2×D4—531no—
1625C2×D4—531no—
1626C2×D4—531no—
1627C2×D4—1062no—
1628C2×D4—1062no—
1629C2×D4—1062no—
1630C2×D4—1061no—
1631C2×D4—1061no—
1632C2×D4—1061no—
1633C2×D4—1061no—
1634C2×D4—1061no—
1635C2×D4—1061no—
1636C2×D4—1061no—
1637C2×D4—1061no—
1638C2×D4—1061no—
1639C2×D4—1061no—
1640C2×D4—1061no—
1641C2×D4—1061no—
1642C2×D4—1061no—
1643C2×D4—1062no—
1644C2×D4—1062no—
1645C2×D4—1061no—
1646C2×D4—1061no—
1647C2×D4—1061no—
1648C2×D4—1061no—
1649C2×D4—1062no—
1650C2×D4—1061no—
1651C2×D4—1061no—
1652C2×D4—1061no—
1653C2×D4—1061no—
1654C2×D4—1061no—
1655C2×D4—1061no—
1656C2×D4—1061no—
1657C2×D4—1061no—
1658C2×D4—1061no—
1659C2×D4—1061no—
1660C2×D4—4242no—
1661C2×D4—4242no—
1662C2×D4—4242no—
1663C2×D4—2121no—
1664C2×D4—2121no—
1665C2×D4—2121no—
1666C2×D4—2124no—
1667C2×D4—2124no—
1668C2×D4—2124no—
1669C2×D4—2121no—
1670C2×D4—2124no—
1671C2×D4—2124no—
1672C2×D4D4×D5311yescharacteristic
1673C2×D4C23×D5311yescharacteristic
1674C22×C4—21no—
1675C22×C4—21no—
1676C22×C4—21no—
1677C22×C4—21no—
1678C22×C4—531no—
1679C22×C4—531no—
1680C22×C4—531no—
1681C22×C4—531no—
1682C22×C4—531no—
1683C22×C4—531no—
1684C22×C4—1061no—
1685C22×C4—1061no—
1686C22×C4—1062no—
1687C22×C4—1062no—
1688C22×C4—1061no—
1689C22×C4—1061no—
1690C22×C4—1061no—
1691C22×C4—1061no—
1692C22×C4—1061no—
1693C22×C4—1061no—
1694C22×C4—1061no—
1695C22×C4—1061no—
1696C22×C4—1061no—
1697C22×C4—1061no—
1698C22×C4—1061no—
1699C22×C4—1061no—
1700C22×C4—1061no—
1701C22×C4—1061no—
1702C22×C4—1061no—
1703C22×C4—1061no—
1704C22×C4—1061no—
1705C22×C4—2124no—
1706C22×C4—2124no—
1707C22×C4C23×D5311yescharacteristic
1708C22×C4C23×D5311yescharacteristic
1709Q16—22no—
1710Q16—22no—
1711Q16—22no—
1712Q16—22no—
1713Q16—41no—
1714Q16—1062no—
1715Q16—2121no—
1716Q16D4×D5314yescomplemented
1717SD16—22no—
1718SD16—22no—
1719SD16—41no—
1720SD16—534no—
1721SD16—534no—
1722SD16—1062no—
1723SD16—1062no—
1724SD16—1062no—
1725SD16—1062no—
1726SD16—1062no—
1727SD16—1062no—
1728SD16—1062no—
1729SD16—1062no—
1730SD16—1062no—
1731SD16—1062no—
1732SD16—1062no—
1733SD16—1062no—
1734SD16—2121no—
1735SD16—2121no—
1736SD16—2121no—
1737D8—534no—
1738D8—1062no—
1739D8—1062no—
1740D8—1062no—
1741D8—1062no—
1742D8—1062no—
1743D8—2121no—
1744D8—2121no—
1745M16—22no—
1746M16—1062no—
1747M16—1062no—
1748M16—1062no—
1749C2×C8—22no—
1750C2×C8—531no—
1751C2×C8—534no—
1752C2×C8—531no—
1753C2×C8—531no—
1754C2×C8—531no—
1755C2×C8—1062no—
1756C2×C8—1062no—
1757C2×C8—1062no—
1758C2×C8—1062no—
1759C2×C8—1062no—
1760C2×C8—1062no—
1761C2×C8C23×D5311yescharacteristic
1762C2×C8C23×D5311yescharacteristic
1763C2×C8C23×D5311yescharacteristic
1764C2×C8C23×D5311yescharacteristic
1765C4⋊C4—21no—
1766C4⋊C4—21no—
1767C4⋊C4—21no—
1768C4⋊C4—21no—
1769C4⋊C4—21no—
1770C4⋊C4—21no—
1771C4⋊C4—21no—
1772C4⋊C4—531no—
1773C4⋊C4—531no—
1774C4⋊C4—531no—
1775C4⋊C4—531no—
1776C4⋊C4—531no—
1777C4⋊C4—531no—
1778C4⋊C4—531no—
1779C4⋊C4—1061no—
1780C4⋊C4—1061no—
1781C4⋊C4—1061no—
1782C4⋊C4—1061no—
1783C4⋊C4—1061no—
1784C4⋊C4—1061no—
1785C4⋊C4—1061no—
1786C4⋊C4—1061no—
1787C4⋊C4—1061no—
1788C4⋊C4—1061no—
1789C4⋊C4—1061no—
1790C4⋊C4D4×D5311yescharacteristic
1791C4⋊C4C23×D5311yescharacteristic
1792C4⋊C4C23×D5311yescharacteristic
1793C22⋊C4—21no—
1794C22⋊C4—21no—
1795C22⋊C4—21no—
1796C22⋊C4—21no—
1797C22⋊C4—21no—
1798C22⋊C4—21no—
1799C22⋊C4—531no—
1800C22⋊C4—531no—
1801C22⋊C4—531no—
1802C22⋊C4—531no—
1803C22⋊C4—531no—
1804C22⋊C4—531no—
1805C22⋊C4—531no—
1806C22⋊C4—531no—
1807C22⋊C4—1061no—
1808C22⋊C4—1061no—
1809C22⋊C4—1061no—
1810C22⋊C4—1061no—
1811C22⋊C4—1061no—
1812C22⋊C4—1061no—
1813C22⋊C4—1061no—
1814C22⋊C4—1061no—
1815C22⋊C4—1061no—
1816C22⋊C4—1061no—
1817C22⋊C4—1061no—
1818C22⋊C4—1061no—
1819C22⋊C4—1061no—
1820C22⋊C4—1061no—
1821C22⋊C4—1061no—
1822C22⋊C4—1061no—
1823C22⋊C4—1061no—
1824C22⋊C4—1061no—
1825C22⋊C4—1061no—
1826C22⋊C4—1061no—
1827C22⋊C4—1061no—
1828C22⋊C4—1061no—
1829C22⋊C4D4×D5311yescharacteristic
1830C22⋊C4D4×D5311yescharacteristic
1831C42—21no—
1832C42—21no—
1833C42—531no—
1834C42—1061no—
1835C42—1061no—
1836C42C23×D5311yescharacteristic
1837C23—21no—
1838C23—531no—
1839C23—531no—
1840C23—531no—
1841C23—1062no—
1842C23—1062no—
1843C23—1061no—
1844C23—1061no—
1845C23—1061no—
1846C23—1061no—
1847C23—1061no—
1848C23—4241no—
1849C23—4241no—
1850C23—4241no—
1851C23—4241no—
1852C23—4241no—
1853C23—4241no—
1854C23—4241no—
1855C23—4241no—
1856C23—2122no—
1857C23—2121no—
1858C23—2122no—
1859C23—2122no—
1860C23—2122no—
1861C23—2122no—
1862C23—2122no—
1863C23—2122no—
1864C23C2×D4×D5311yescharacteristic
1865C23C2×D4×D5311yescharacteristic
1866Q8—21no—
1867Q8—21no—
1868Q8—21no—
1869Q8—21no—
1870Q8—21no—
1871Q8—21no—
1872Q8—21no—
1873Q8—21no—
1874Q8—42no—
1875Q8—42no—
1876Q8—42no—
1877Q8—1062no—
1878Q8—1061no—
1879Q8—1061no—
1880Q8—2122no—
1881Q8—2122no—
1882Q8C2×D4×D5312yes—
1883Q8C2×D4×D5312yes—
1884D4—22no—
1885D4—21no—
1886D4—21no—
1887D4—42no—
1888D4—42no—
1889D4—532no—
1890D4—532no—
1891D4—1062no—
1892D4—1064no—
1893D4—1064no—
1894D4—1062no—
1895D4—1062no—
1896D4—1062no—
1897D4—1061no—
1898D4—1061no—
1899D4—1061no—
1900D4—1061no—
1901D4—1061no—
1902D4—1061no—
1903D4—1061no—
1904D4—1061no—
1905D4—4241no—
1906D4—4241no—
1907D4—4241no—
1908D4—4241no—
1909D4—4241no—
1910D4—4241no—
1911D4—4241no—
1912D4—4241no—
1913D4—4241no—
1914D4—4241no—
1915D4—2121no—
1916D4—2122no—
1917D4—2122no—
1918D4—2122no—
1919D4—2122no—
1920D4—2122no—
1921D4—2122no—
1922D4—2122no—
1923D4—2122no—
1924D4—2122no—
1925D4—2122no—
1926D4—2122no—
1927D4—2122no—
1928D4—2121no—
1929D4—2122no—
1930D4—2122no—
1931D4—2122no—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—21no—
1939C2×C4—21no—
1940C2×C4—21no—
1941C2×C4—21no—
1942C2×C4—21no—
1943C2×C4—42no—
1944C2×C4—42no—
1945C2×C4—42no—
1946C2×C4—42no—
1947C2×C4—531no—
1948C2×C4—532no—
1949C2×C4—532no—
1950C2×C4—531no—
1951C2×C4—531no—
1952C2×C4—531no—
1953C2×C4—531no—
1954C2×C4—1062no—
1955C2×C4—1064no—
1956C2×C4—1064no—
1957C2×C4—1062no—
1958C2×C4—1062no—
1959C2×C4—1061no—
1960C2×C4—1061no—
1961C2×C4—1061no—
1962C2×C4—1061no—
1963C2×C4—1061no—
1964C2×C4—1061no—
1965C2×C4—1061no—
1966C2×C4—4241no—
1967C2×C4—4241no—
1968C2×C4—4241no—
1969C2×C4—4241no—
1970C2×C4—4241no—
1971C2×C4—4241no—
1972C2×C4—2122no—
1973C2×C4—2122no—
1974C2×C4—2122no—
1975C2×C4—2122no—
1976C2×C4—2122no—
1977C2×C4—2122no—
1978C2×C4—2122no—
1979C2×C4—2122no—
1980C2×C4—2122no—
1981C2×C4—2122no—
1982C2×C4—2122no—
1983C2×C4C2×D4×D5311yescharacteristic
1984C2×C4C2×D4×D5311yescharacteristic
1985C2×C4C2×D4×D5311yescharacteristic
1986C2×C4C2×D4×D5311yescharacteristic
1987C2×C4C24×D5311yescharacteristic
1988C8—21no—
1989C8—21no—
1990C8—21no—
1991C8—532no—
1992C8—1061no—
1993C8—1061no—
1994C8—1061no—
1995C8C2×D4×D5312yes—
1996C22—21no—
1997C22—21no—
1998C22—21no—
1999C22—21no—
2000C22—21no—
2001C22—41no—
2002C22—41no—
2003C22—41no—
2004C22—532no—
2005C22—8482no—
2006C22—8482no—
2007C22—8482no—
2008C22—1061no—
2009C22—1061no—
2010C22—1061no—
2011C22—1062no—
2012C22—1061no—
2013C22—1062no—
2014C22—1061no—
2015C22—1061no—
2016C22—1061no—
2017C22—1061no—
2018C22—4244no—
2019C22—4244no—
2020C22—2124no—
2021C22—2121no—
2022C22—2121no—
2023C22—2121no—
2024C22—2121no—
2025C22—2121no—
2026C22—2121no—
2027C22—2121no—
2028C22—2121no—
2029C22—2121no—
2030C22—2121no—
2031C22—2121no—
2032C22—2121no—
2033C22—2121no—
2034C22#1681143212yescomplemented
2035C22C22×D4×D5311yescharacteristic
2036C4—21no—
2037C4—21no—
2038C4—22no—
2039C4—22no—
2040C4—21no—
2041C4—21no—
2042C4—41no—
2043C4—41no—
2044C4—41no—
2045C4—41no—
2046C4—41no—
2047C4—532no—
2048C4—1061no—
2049C4—1061no—
2050C4—1061no—
2051C4—1061no—
2052C4—2121no—
2053C4—2121no—
2054C4—2121no—
2055C4C22×D4×D5311yescharacteristic
2056C4H(5,𝔽2)×D5311yescharacteristic
2057C2—22no—
2058C2—41no—
2059C2—81no—
2060C2—1062no—
2061C2—4241no—
2062C2—4241no—
2063C2—4241no—
2064C2—2121no—
2065C2—2122no—
2066C2—2121no—
2067C2—2122no—
2068C2D42×D5311yescharacteristic
2069C2C2×#1681143211yescharacteristic
2070C2#2028948511yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3270C2
socleC22×C53C23×D4
hypercenter#3270D53
hypocenterC53#61055
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3270

Complements

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

NH ≅ G/Ntype
1. C2×#16811432C2semidirect
2. C22×#13133240C2semidirect
3. #20288392C2semidirect
4. #20288381C2semidirect
5. #20286440C2semidirect
6. #20286438C2semidirect
7. #20286423C2semidirect
8. #20286417C2semidirect
9. #20286415C2semidirect
10. #20286415C2semidirect
11. D4×#11719924C2semidirect
12. #20286404C2semidirect
13. #20286302C2semidirect
14. #20286294C2semidirect
15. #20286285C2semidirect
16. #20286247C2semidirect
17. #20286239C2semidirect
18. #20286200C2semidirect
19. #20286192C2semidirect
20. #20285190C2semidirect
21. #20284379C2semidirect
22. #465×D53C2semidirect
23. #20284262C2semidirect
24. #20284257C2semidirect
25. #20284031C2semidirect
26. #20284023C2semidirect
27. #20283974C2semidirect
28. #20283966C2semidirect
29. #20283595C2semidirect
30. #20283406C2semidirect
31. C53×#3270C2semidirect
32. C2×#13133265C22semidirect
33. C2×#13133263C22semidirect
35. C22×#11719949C22semidirect
37. C2×#13133249C22semidirect
38. C2×#13133249C22semidirect
39. C2×#13133249C22semidirect
40. C2×#13133245C22semidirect
41. C2×#13133244C22semidirect
42. C2×#13133244C22semidirect
43. C2×#13133244C22semidirect
47. C2×#13133240C22semidirect
48. C2×#13133240C22semidirect
49. C2×#13133240C22semidirect
50. C2×#13133240C22semidirect
51. C2×#13133240C22semidirect
52. C2×#13133240C22semidirect
53. C2×#13133240C22semidirect
54. C2×#13133237C22semidirect
55. C22×#11719924C22semidirect
56. C22×#11719924C22semidirect
57. C22×#11719924C22semidirect
58. C2×SD16×D53C22semidirect
59. C2×SD16×D53C22semidirect
60. C22×D424C22semidirect
61. C2×#13133225C22semidirect
62. C22×C8×D53C22semidirect
63. #16811295C22semidirect
64. #16811292C22semidirect
65. Q8×C22⋊D53C22semidirect
66. #16811285C22semidirect
68. #16811284C22semidirect
70. #16811276C22semidirect
72. #16811275C22semidirect
74. #16811269C22semidirect
76. #16811266C22semidirect
79. #16811264C22semidirect
80. #16811264C22semidirect
87. #16811203C22semidirect
88. #16811203C22semidirect
90. #16811198C22semidirect
92. #16811191C22semidirect
97. C22⋊Q8×D53C22semidirect
100. #16811105C22semidirect
101. #16811105C22semidirect
102. #16811016C22semidirect
103. #16811012C22semidirect
104. #16811009C22semidirect
105. #16811008C22semidirect
106. #16811005C22semidirect
107. #16810997C22semidirect
108. #16810994C22semidirect
109. #16810878C22semidirect
110. #16810877C22semidirect
111. #16810876C22semidirect
112. #16810855C22semidirect
113. #16810855C22semidirect
114. #16810855C22semidirect
115. #16810854C22semidirect
116. #16810854C22semidirect
117. #16810854C22semidirect
118. #16810853C22semidirect
119. #16810852C22semidirect
120. #16810851C22semidirect
121. #16810850C22semidirect
122. #16810849C22semidirect
123. #16810847C22semidirect
124. #16810847C22semidirect
125. #16810845C22semidirect
126. #16810841C22semidirect
127. #16810841C22semidirect
128. #16810839C22semidirect
129. #16810835C22semidirect
130. #16810831C22semidirect
131. #16810827C22semidirect
132. #16810825C22semidirect
133. #16810823C22semidirect
134. #16810821C22semidirect
135. #16810819C22semidirect
136. #16810817C22semidirect
137. #16810788C22semidirect
138. #16810788C22semidirect
139. #16810784C22semidirect
140. #16810784C22semidirect
141. #16810784C22semidirect
142. #16810784C22semidirect
143. #16810783C22semidirect
144. #16810779C22semidirect
145. #16810777C22semidirect
146. #16810776C22semidirect
147. #16810773C22semidirect
148. #16810773C22semidirect
149. #16810772C22semidirect
150. #16810771C22semidirect
151. #16810771C22semidirect
152. #16810771C22semidirect
153. #16810771C22semidirect
154. #16810770C22semidirect
155. #16810768C22semidirect
156. #16810767C22semidirect
157. #16810767C22semidirect
158. #16810763C22semidirect
159. #16810762C22semidirect
160. #16810762C22semidirect
161. #16810759C22semidirect
162. #16810759C22semidirect
163. #16810758C22semidirect
164. #16810756C22semidirect
165. #16810736C22semidirect
166. #16810734C22semidirect
167. #16810730C22semidirect
168. C4×#11719924C22semidirect
169. C4×#11719924C22semidirect
170. #16810708C22semidirect
171. #16810708C22semidirect
172. #16810696C22semidirect
173. #16810694C22semidirect
174. #16810692C22semidirect
175. D4×#88322C22semidirect
176. #16810688C22semidirect
177. #16810686C22semidirect
178. #16810686C22semidirect
179. #106×D53C22semidirect
180. #16810648C22semidirect
181. #16810623C22semidirect
182. #16810623C22semidirect
183. #16810623C22semidirect
184. #16810623C22semidirect
185. #103×D53C22semidirect
186. #102×D53C22semidirect
187. #16810588C22semidirect
188. #16810585C22semidirect
189. #16810580C22semidirect
190. C2×#137×C53C22semidirect
191. C22×Q16×C53C22semidirect
192. D4×Q8×C53C22semidirect
194. C53×#497C22semidirect
195. C53×#470C22semidirect
196. C53×#465C22semidirect
197. C53×#464C22semidirect
198. C53×#462C22semidirect
199. C53×#452C22semidirect
200. C53×#451C22semidirect
201. C53×#451C22semidirect
202. C53×#448C22semidirect
203. C53×#441C22semidirect
204. C53×#435C22semidirect
267. #13133240D4semidirect
585. #11719949C2×D4semidirect
678. Q16×C53C2×D4semidirect
726. #11719924C2×D4semidirect
727. #11719924C2×D4semidirect
789. D424C2×D4semidirect
800. C8×D53C2×D4semidirect
969. C22×C53#577semidirect
1037. #3270D53semidirect
1075. C2×#137C2×D53semidirect
1091. C22×Q16C2×D53semidirect
1103. D4×Q8C2×D53semidirect
1142. #497C2×D53semidirect
1150. #470C2×D53semidirect
1164. #465C2×D53semidirect
1168. #464C2×D53semidirect
1174. #462C2×D53semidirect
1188. #452C2×D53semidirect
1191. #451C2×D53semidirect
1192. #451C2×D53semidirect
1208. #448C2×D53semidirect
1216. #441C2×D53semidirect
1224. #435C2×D53semidirect
1240. C53#61055semidirect
1716. Q16D4×D53semidirect
2034. C22#16811432semidirect

Maximal subgroups

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

subgroupindex
C2×#168114322
C22×#131332402
#202883922
#202883812
#202864402
#202864382
#202864232
#202864172
#202864152
D4×#117199242
#202864042
#202863022
#202862942
#202862852
#202862472
#202862392
#202862002
#202861922
#202851902
#202843792
#465×D532
#202842622
#202842572
#202840312
#202840232
#202839742
#202839662
#202835952
#202834062
C53×#32702
#6105553