Finite Group Databasebeta

← #28259868

Subgroups — #28259868

Order 13568.

2774 conjugacy classes of subgroups.

The subgroup lattice has 2092 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811425C211yesmaximal, characteristic, complemented
2C2×#16811422C211yesmaximal, characteristic, complemented
3#20288381C211yesmaximal, characteristic, complemented
4#20288354C211yesmaximal, characteristic, complemented
5#20286440C211yesmaximal, characteristic, complemented
6#20286439C211yesmaximal, characteristic, complemented
7#20286397C211yesmaximal, characteristic, complemented
8#20286395C211yesmaximal, characteristic, complemented
9#20286347C211yesmaximal, characteristic, complemented
10#20286340C211yesmaximal, characteristic, complemented
11#20286315C211yesmaximal, characteristic, complemented
12#20286312C211yesmaximal, characteristic, complemented
13#20286273C211yesmaximal, characteristic, complemented
14#20286258C211yesmaximal, characteristic, complemented
15#20286257C211yesmaximal, characteristic, complemented
16#20286243C211yesmaximal, characteristic, complemented
17#20286239C211yesmaximal, characteristic, complemented
18#20286200C211yesmaximal, characteristic, complemented
19#20286198C211yesmaximal, characteristic, complemented
20#20285190C211yesmaximal, characteristic, complemented
21#20284405C211yesmaximal, characteristic, complemented
22#20284329C211yesmaximal, characteristic, complemented
23#20284262C211yesmaximal, characteristic, complemented
24#20284216C211yesmaximal, characteristic, complemented
25#20284023C211yesmaximal, characteristic, complemented
26#20283989C211yesmaximal, characteristic, complemented
27#20283938C211yesmaximal, characteristic, complemented
28#449×D53C211yesmaximal, characteristic, complemented
29#20283546C211yesmaximal, characteristic, complemented
30#20283438C211yesmaximal, characteristic, complemented
31C53×#3269C211yesmaximal, characteristic, complemented
32C2×#13133263C2211yescharacteristic
33C2×#13133263C2211yescharacteristic, complemented
34C22×#11719949C2211yescharacteristic, complemented
35C2×#41×D53C2211yescharacteristic, complemented
36#16811425—28no—
37#16811422—28no—
38C2×#13133249C2211yescharacteristic, complemented
39C2×#13133249C2211yescharacteristic, complemented
40C2×#13133248C2211yescharacteristic, complemented
41C2×#13133245C2211yescharacteristic, complemented
42C2×#13133244C2211yescharacteristic
43C2×#13133244C2211yescharacteristic, complemented
44C2×#13133244C2211yescharacteristic, complemented
45C2×#13133244C2211yescharacteristic, complemented
46C2×#13133244C2211yescharacteristic, complemented
47C2×#13133242C2211yescharacteristic, complemented
48C2×#13133242C2211yescharacteristic, complemented
49C2×#13133242C2211yescharacteristic, complemented
50C2×#13133240C2211yescharacteristic
51C2×#13133240C2211yescharacteristic, complemented
52C2×#13133240C2211yescharacteristic, complemented
53C2×#13133240C2211yescharacteristic, complemented
54C2×#13133240C2211yescharacteristic, complemented
55C2×#13133238C2211yescharacteristic, complemented
56C2×#13133238C2211yescharacteristic, complemented
57C2×SD16×D53C2211yescharacteristic, complemented
58C22×D424C2211yescharacteristic, complemented
59C2×D8×D53C2211yescharacteristic, complemented
60C2×D8×D53C2211yescharacteristic, complemented
61C2×#13133223C2211yescharacteristic, complemented
62C2×M16×D53C2211yescharacteristic, complemented
63#16811295C2211yescharacteristic, complemented
64#16811292C2211yescharacteristic, complemented
65#16811284C2211yescharacteristic, complemented
66#16811276C2211yescharacteristic, complemented
67#16811275C2211yescharacteristic, complemented
68#16811274—21no—
69#16811272C2211yescharacteristic, complemented
70#16811271—21no—
71#16811269C2211yescharacteristic, complemented
72#16811268C2211yescharacteristic, complemented
73#16811266—21no—
74#16811266C2211yescharacteristic, complemented
75#16811265—21no—
76#16811264—21no—
77#16811264C2211yescharacteristic, complemented
78#16811264C2211yescharacteristic, complemented
79#16811262—21no—
80#16811261C2211yescharacteristic, complemented
81D4×D212—21no—
82D4×D212C2211yescharacteristic, complemented
83#16811257—21no—
84#16811257C2211yescharacteristic, complemented
85#16811203—21no—
86#16811203C2211yescharacteristic
87#16811198C2211yescharacteristic, complemented
88#16811196C2211yescharacteristic, complemented
89#16811191—21no—
90#16811191C2211yescharacteristic, complemented
91#16811184—21no—
92#16811181—21no—
93#16811136C2211yescharacteristic, complemented
94#16811132—21no—
95#16811132C2211yescharacteristic
96C2×#13133202—21no—
97#123×D53—21no—
98#121×D53—21no—
99#121×D53C2211yescharacteristic, complemented
100#16811105C2211yescharacteristic, complemented
101#16811095C2211yescharacteristic, complemented
102#16811016C2211yescharacteristic, complemented
103#16811012C2211yescharacteristic, complemented
104#16811009C2211yescharacteristic, complemented
105#16811008C2211yescharacteristic, complemented
106#16811005C2211yescharacteristic, complemented
107#16810997C2211yescharacteristic, complemented
108#16810994C2211yescharacteristic, complemented
109#16810879C2211yescharacteristic, complemented
110#16810878C2211yescharacteristic, complemented
111#16810876C2211yescharacteristic, complemented
112#16810874C2211yescharacteristic, complemented
113#16810871C2211yescharacteristic, complemented
114#16810871C2211yescharacteristic, complemented
115#16810870C2211yescharacteristic, complemented
116#16810863C2211yescharacteristic, complemented
117#16810860C2211yescharacteristic, complemented
118#16810858C2211yescharacteristic, complemented
119#16810855C2211yescharacteristic, complemented
120#16810855C2211yescharacteristic, complemented
121#16810852C2211yescharacteristic, complemented
122#16810849C2211yescharacteristic, complemented
123#16810847C2211yescharacteristic, complemented
124#16810845C2211yescharacteristic, complemented
125#16810841C2211yescharacteristic, complemented
126#16810841C2211yescharacteristic, complemented
127#16810840C2211yescharacteristic, complemented
128#16810839C2211yescharacteristic, complemented
129#16810835C2211yescharacteristic, complemented
130#16810831C2211yescharacteristic, complemented
131#16810827C2211yescharacteristic, complemented
132#16810825C2211yescharacteristic, complemented
133#16810819C2211yescharacteristic, complemented
134#16810818C2211yescharacteristic, complemented
135#16810817C2211yescharacteristic, complemented
136#16810816C2211yescharacteristic, complemented
137#16810788C2211yescharacteristic, complemented
138#16810785C2211yescharacteristic, complemented
139#16810784C2211yescharacteristic, complemented
140#16810784C2211yescharacteristic, complemented
141#16810784C2211yescharacteristic, complemented
142#16810784C2211yescharacteristic, complemented
143#16810776C2211yescharacteristic, complemented
144#16810775C2211yescharacteristic, complemented
145#16810773C2211yescharacteristic, complemented
146#16810773C2211yescharacteristic, complemented
147#16810773C2211yescharacteristic, complemented
148#16810772C2211yescharacteristic, complemented
149#16810772C2211yescharacteristic, complemented
150#16810771C2211yescharacteristic, complemented
151#16810771C2211yescharacteristic, complemented
152#16810771C2211yescharacteristic, complemented
153#16810771C2211yescharacteristic, complemented
154#16810770C2211yescharacteristic, complemented
155#16810769C2211yescharacteristic, complemented
156#16810768C2211yescharacteristic, complemented
157#16810768C2211yescharacteristic, complemented
158#16810767C2211yescharacteristic, complemented
159#16810766C2211yescharacteristic, complemented
160#16810765C2211yescharacteristic, complemented
161#16810762C2211yescharacteristic, complemented
162#16810759C2211yescharacteristic, complemented
163#16810759C2211yescharacteristic, complemented
164#16810758C2211yescharacteristic, complemented
165#16810736C2211yescharacteristic, complemented
166#16810732C2211yescharacteristic, complemented
167#16810726C2211yescharacteristic, complemented
168SD16×Dic53C2211yescharacteristic, complemented
169C4×#11719924C2211yescharacteristic, complemented
170#16810705C2211yescharacteristic, complemented
171C4×#11719922C2211yescharacteristic, complemented
172#16810701C2211yescharacteristic, complemented
173#16810699C2211yescharacteristic, complemented
174#16810697C2211yescharacteristic, complemented
175#16810697C2211yescharacteristic, complemented
176#16810696C2211yescharacteristic, complemented
177#16810688C2211yescharacteristic, complemented
178C8×C22⋊D53C2211yescharacteristic, complemented
179#16810664C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810626C2211yescharacteristic, complemented
182#16810623C2211yescharacteristic, complemented
183#16810618C2211yescharacteristic, complemented
184#16810618C2211yescharacteristic, complemented
185#103×D53C2211yescharacteristic, complemented
186#102×D53C2211yescharacteristic, complemented
187#16810588C2211yescharacteristic, complemented
188C22⋊C8×D53C2211yescharacteristic, complemented
189#16810580C2211yescharacteristic, complemented
190C2×#137×C53C2211yescharacteristic, complemented
191C2×#135×C53C2211yescharacteristic, complemented
192C53×#548C2211yescharacteristic, complemented
193C53×#547C2211yescharacteristic, complemented
194C53×#497C2211yescharacteristic, complemented
195C53×#468C2211yescharacteristic, complemented
196C53×#467C2211yescharacteristic, complemented
197C53×#463C2211yescharacteristic, complemented
198C53×#462C2211yescharacteristic, complemented
199C53×#452C2211yescharacteristic, complemented
200C53×#452C2211yescharacteristic, complemented
201C53×#451C2211yescharacteristic, complemented
202C53×#449C2211yescharacteristic, complemented
203C53×#440C2211yescharacteristic, complemented
204C53×#435C2211yescharacteristic, complemented
205#13133263—24no—
206#13133263—24no—
207#13133263—42no—
208#13133263—42no—
209C2×#11719949—21no—
210C2×#11719949—21no—
211C2×#11719949—24no—
212C2×#11719949—42no—
213C2×#11719949C2311yescharacteristic
214C2×#11719949C2311yescharacteristic
215C2×#11719949C2311yescharacteristic
216C2×#11719949C2311yescharacteristic
217C2×#11719949C2311yescharacteristic
218C2×#11719949C2311yescharacteristic
219C2×#11719949C2311yescharacteristic
220C2×#11719949C2311yescharacteristic
221C2×#11719945—21no—
222C2×#11719945—21no—
223C2×#11719945—21no—
224C2×#11719945C2311yescharacteristic
225C2×#11719945C2311yescharacteristic
226C2×#11719947—21no—
227C2×#11719947C2311yescharacteristic
228#41×D53—24no—
229#41×D53—42no—
230C2×Q8×D53C2311yescharacteristic
231C22×D212—21no—
232C22×D212—21no—
233C22×D212—21no—
234C22×D212C2311yescharacteristic
235C22×D212C2311yescharacteristic
236C22×D212C2311yescharacteristic
237C2×D4×D53—21no—
238C2×D4×D53—21no—
239C2×D4×D53—21no—
240C2×D4×D53—21no—
241C2×D4×D53—21no—
242C2×D4×D53—21no—
243C2×D4×D53—21no—
244C2×D4×D53—21no—
245C2×D4×D53C2311yescharacteristic
246C2×D4×D53C2311yescharacteristic
247C2×D4×D53C2311yescharacteristic
248C2×D4×D53C2311yescharacteristic
249C22×C4×D53—21no—
250C22×C4×D53—21no—
251C22×C4×D53C2311yescharacteristic
252#13133249—24no—
253#13133249—24no—
254#13133248—24no—
255#13133245—24no—
256#13133244—24no—
257#13133244—24no—
258#13133244—24no—
259#13133244—24no—
260#13133244D418yescomplemented
261#13133242—24no—
262#13133242—24no—
263#13133242—24no—
264#13133240—24no—
265#13133240—24no—
266#13133240—24no—
267#13133240—24no—
268#13133240—42no—
269#13133238—24no—
270#13133238—24no—
271C2×#11719925C2311yescharacteristic
272C2×#11719925C2311yescharacteristic
273C2×#11719913C2311yescharacteristic
274C2×#11719913C2311yescharacteristic
275C2×#11719913C2311yescharacteristic
276C2×#11719923C2311yescharacteristic
277C2×#11719924C2311yescharacteristic
278C2×#11719924C2311yescharacteristic
279C2×#11719924C2311yescharacteristic
280C2×#11719924C2311yescharacteristic
281C2×#11719924C2311yescharacteristic
282C2×#11719924C2311yescharacteristic
283C2×#11719924C2311yescharacteristic
284C2×#11719924C2311yescharacteristic
285C2×#11719924C2311yescharacteristic
286C2×#11719924C2311yescharacteristic
287SD16×D53—42no—
288C2×D424—24no—
289C2×D424C2311yescharacteristic
290C2×D424C2311yescharacteristic
291C2×D424C2311yescharacteristic
292C2×D424C2311yescharacteristic
293C2×D424C2311yescharacteristic
294C2×D424C2311yescharacteristic
295C2×#11719922C2311yescharacteristic
296C2×#11719922C2311yescharacteristic
297C2×#11719922C2311yescharacteristic
298C2×#11719922C2311yescharacteristic
299C2×#11719922C2311yescharacteristic
300D8×D53—24no—
301D8×D53—24no—
302#13133223—24no—
303C2×#11719917C2311yescharacteristic
304C2×#11719917C2311yescharacteristic
305C2×#11719912C2311yescharacteristic
306C2×#11719912C2311yescharacteristic
307C2×#11719912C2311yescharacteristic
308M16×D53—24no—
309C2×C8×D53C2311yescharacteristic
310C2×C8×D53C2311yescharacteristic
311C2×C8×D53C2311yescharacteristic
312C2×C8×D53C2311yescharacteristic
313C2×C8×D53C2311yescharacteristic
314#13133216—21no—
315#13133215C2311yescharacteristic
316#13133214—21no—
317#13133214C2311yescharacteristic
318#13133213—21no—
319#13133213C2311yescharacteristic
320#13133206—21no—
321#13133206C2311yescharacteristic
322#13133206C2311yescharacteristic
323#13133205C2311yescharacteristic
324#13133203—21no—
325#13133202—21no—
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#13133202—21no—
335#13133202D411yescharacteristic
336#13133201—21no—
337#13133200—21no—
338#13133200—21no—
339#13133199—21no—
340#13133199—21no—
341#13133199—21no—
342#13133199D411yescharacteristic
343#13133198—21no—
344#13133197C2311yescharacteristic
345#13133196C2311yescharacteristic
346#13133195—21no—
347#13133195—21no—
348#13133195—21no—
349#13133195D411yescharacteristic
350#13133194D411yescharacteristic
351#13133193—21no—
352#13133193C2311yescharacteristic
353#13133193C2311yescharacteristic
354#13133193C2311yescharacteristic
355#13133192—21no—
356#13133192—21no—
357#13133192—21no—
358#13133192—21no—
359#13133192—21no—
360#13133192—21no—
361#13133192—21no—
362#13133192C2311yescharacteristic
363#13133192C2311yescharacteristic
364#13133192C2311yescharacteristic
365#13133191—21no—
366#13133191—21no—
367#13133191—21no—
368#13133191C2311yescharacteristic
369#13133191C2311yescharacteristic
370#13133191C2311yescharacteristic
371#13133190—21no—
372#13133190—21no—
373#13133190—21no—
374#13133190—21no—
375#13133190—21no—
376#13133190—21no—
377#13133190—21no—
378#13133190—21no—
379#13133190—21no—
380#13133190D411yescharacteristic
381#13133189—21no—
382#13133189—21no—
383#13133189—21no—
384#13133189D411yescharacteristic
385#13133188—21no—
386#13133188C2311yescharacteristic
387#13133187—21no—
388#13133187—21no—
389#13133187—21no—
390#13133187—21no—
391#13133187—21no—
392#13133187—21no—
393#13133187—21no—
394#13133187—21no—
395#13133187—21no—
396#13133187—21no—
397#13133187D411yescharacteristic
398#13133185—21no—
399#13133185—21no—
400#13133185—21no—
401#13133185D411yescharacteristic
402Q8×Dic53C2311yescharacteristic
403C4×D212—21no—
404C4×D212—21no—
405C4×D212C2311yescharacteristic
406C4×D212C2311yescharacteristic
407C4×D212C2311yescharacteristic
408D4×Dic53C2311yescharacteristic
409#13133179—21no—
410#13133179—21no—
411#13133179C2311yescharacteristic
412#13133179C2311yescharacteristic
413C4×C22⋊D53—21no—
414C4×C22⋊D53—21no—
415C4×C22⋊D53—21no—
416C4×C22⋊D53C2311yescharacteristic
417C4×C22⋊D53C2311yescharacteristic
418#13133177—21no—
419#13133177—21no—
420#13133175C2311yescharacteristic
421#13133174—21no—
422#13133174C2311yescharacteristic
423C2×#11719919—21no—
424C4⋊C4×D53—21no—
425C4⋊C4×D53—21no—
426C4⋊C4×D53—21no—
427C4⋊C4×D53C2311yescharacteristic
428C2×#11719921—21no—
429C2×#11719921—21no—
430C2×#11719921—21no—
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#13133150C2311yescharacteristic
438#13133149C2311yescharacteristic
439#13133148C2311yescharacteristic
440C4⋊#88322C2311yescharacteristic
441#13133146C2311yescharacteristic
442#13133146C2311yescharacteristic
443#13133142C2311yescharacteristic
444#13133141C2311yescharacteristic
445#13133141C2311yescharacteristic
446#13133141C2311yescharacteristic
447#13133141C2311yescharacteristic
448#13133140C2311yescharacteristic
449#13133139C2311yescharacteristic
450#13133139C2311yescharacteristic
451#13133139C2311yescharacteristic
452#13133139C2311yescharacteristic
453#13133139C2311yescharacteristic
454#13133138C2311yescharacteristic
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
471C2×#41×C53C2311yescharacteristic
472C2×#41×C53C2311yescharacteristic
473C22×Q8×C53C2311yescharacteristic
474#137×C53—24no—
475#135×C53—24no—
476C2×Q16×C53C2311yescharacteristic
477C2×Q16×C53C2311yescharacteristic
478C2×Q16×C53C2311yescharacteristic
479C2×Q16×C53C2311yescharacteristic
480C2×SD16×C53C2311yescharacteristic
481C2×SD16×C53C2311yescharacteristic
482C2×SD16×C53C2311yescharacteristic
483C2×SD16×C53C2311yescharacteristic
484C2×D8×C53C2311yescharacteristic
485C2×M16×C53C2311yescharacteristic
486C22×C8×C53C2311yescharacteristic
487C4⋊Q8×C53C2311yescharacteristic
488#124×C53—21no—
489#124×C53C2311yescharacteristic
490#123×C53—21no—
491#123×C53—21no—
492C22⋊Q8×C53—21no—
493C22⋊Q8×C53C2311yescharacteristic
494C22⋊Q8×C53C2311yescharacteristic
495C22⋊Q8×C53C2311yescharacteristic
496#121×C53—21no—
497#121×C53—21no—
498#121×C53C2311yescharacteristic
499C4×Q8×C53C2311yescharacteristic
500C4×D4×C53—21no—
501C4×D4×C53C2311yescharacteristic
502C4×D4×C53C2311yescharacteristic
503C2×C4⋊C4×C53—21no—
504#107×C53C2311yescharacteristic
505C4⋊C8×C53C2311yescharacteristic
506#103×C53C2311yescharacteristic
507#103×C53C2311yescharacteristic
508#103×C53C2311yescharacteristic
509#103×C53C2311yescharacteristic
510#102×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×D53—21no—
521C23×D53—21no—
522C23×D53C2×D411yescharacteristic
523#41×C53—22no—
524#41×C53—22no—
525#41×C53—22no—
526#41×C53—41no—
527#41×C53—41no—
528#41×C53—41no—
529C2×Q8×C53—21no—
530C2×Q8×C53—22no—
531C2×Q8×C53—41no—
532C2×Q8×C53C2411yescharacteristic
533C2×Q8×C53C2411yescharacteristic
534C2×Q8×C53C2411yescharacteristic
535C2×Q8×C53C2411yescharacteristic
536C2×D4×C53—21no—
537C2×D4×C53—21no—
538C2×D4×C53—21no—
539C2×D4×C53—21no—
540C2×D4×C53C2×D411yescharacteristic
541C2×D4×C53C2411yescharacteristic
542C2×D4×C53C2411yescharacteristic
543C22×C4×C53—21no—
544C22×C4×C53—21no—
545C22×C4×C53—21no—
546C22×C4×C53—21no—
547C22×C4×C53—21no—
548C22×C4×C53C2411yescharacteristic
549C22×C4×C53C2411yescharacteristic
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⋊D53—21no—
557C2×C22⋊D53—21no—
558C2×C22⋊D53—21no—
559C2×C22⋊D53—21no—
560C2×C22⋊D53—21no—
561C2×C22⋊D53—21no—
562C2×C22⋊D53C2×D411yescharacteristic
563C2×C22⋊D53C2×D411yescharacteristic
564C2×C22⋊D53C2×D411yescharacteristic
565C2×C22⋊D53C2×D411yescharacteristic
566C22×Dic53—21no—
567C22×Dic53—21no—
568C22×Dic53C2×D411yescharacteristic
569#11719949—22no—
570#11719949—22no—
571#11719949—22no—
572#11719949—22no—
573#11719949—22no—
574#11719949—22no—
575#11719949—22no—
576#11719949—22no—
577#11719949—22no—
578#11719949—22no—
579#11719949—44no—
580#11719949—41no—
581#11719949—41no—
582#11719949—41no—
583#11719949—41no—
584#11719949—41no—
585#11719949—44no—
586#11719949C2×D414yes—
587Q8×D53—22no—
588Q8×D53—22no—
589#11719947—22no—
590#11719947—41no—
591#11719947—44no—
592D4×D53—22no—
593D4×D53—22no—
594D4×D53—22no—
595D4×D53—22no—
596D4×D53—22no—
597D4×D53—41no—
598D4×D53—41no—
599D4×D53—44no—
600D4×D53—44no—
601D4×D53—44no—
602D4×D53—44no—
603D4×D53—44no—
604D4×D53—82no—
605D4×D53—82no—
606D4×D53—82no—
607D4×D53C2×D414yescomplemented
608#11719945—22no—
609#11719945—22no—
610#11719945—22no—
611#11719945—44no—
612#11719945—41no—
613#11719945—44no—
614#11719945—44no—
615C2×D212—21no—
616C2×D212—22no—
617C2×D212—22no—
618C2×D212—22no—
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—21no—
629C2×D212—21no—
630C2×D212—21no—
631C2×D212—21no—
632C2×D212—21no—
633C2×D212—21no—
634C2×D212—41no—
635C2×D212—41no—
636C2×D212—41no—
637C2×D212—44no—
638C2×D212—44no—
639C2×D212—44no—
640C2×D212C2×D411yescharacteristic
641C2×D212C2×D411yescharacteristic
642C2×D212C2411yescharacteristic
643C2×D212C2411yescharacteristic
644C2×D212C2411yescharacteristic
645C2×D212C2411yescharacteristic
646C2×D212C2411yescharacteristic
647C2×C4×D53—21no—
648C2×C4×D53—22no—
649C2×C4×D53—22no—
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—21no—
663C2×C4×D53—21no—
664C2×C4×D53—44no—
665C2×C4×D53—44no—
666C2×C4×D53C2×D411yescharacteristic
667C2×C4×D53C2×D411yescharacteristic
668C2×C4×D53C2411yescharacteristic
669C2×C4×D53C2411yescharacteristic
670C2×C4×D53C2411yescharacteristic
671C2×Dic106—21no—
672C2×Dic106C2×D411yescharacteristic
673C2×Dic106C2411yescharacteristic
674Q16×C53—22no—
675Q16×C53—22no—
676Q16×C53—22no—
677Q16×C53—41no—
678SD16×C53—22no—
679SD16×C53—22no—
680SD16×C53—41no—
681SD16×C53C2×D414yescomplemented
682D8×C53—22no—
683M16×C53—22no—
684C2×C8×C53—22no—
685C2×C8×C53C2411yescharacteristic
686C2×C8×C53C2411yescharacteristic
687C2×C8×C53C2411yescharacteristic
688C2×C8×C53C2411yescharacteristic
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×C53—21no—
705C22⋊C4×C53C2×D411yescharacteristic
706C22⋊C4×C53C2×D411yescharacteristic
707C42×C53—21no—
708C42×C53C2411yescharacteristic
709C22⋊Dic53—21no—
710C22⋊Dic53—21no—
711C22⋊Dic53—21no—
712C22⋊Dic53C2×D411yescharacteristic
713C22⋊Dic53C2×D411yescharacteristic
714#11719925—22no—
715#11719925—22no—
716#11719924—22no—
717#11719924—22no—
718#11719924—22no—
719#11719924—22no—
720#11719924—22no—
721#11719924—22no—
722#11719924—41no—
723#11719924—41no—
724#11719924—41no—
725#11719924C2×D414yescomplemented
726#11719923—41no—
727#11719922—22no—
728#11719922—22no—
729#11719922—22no—
730#11719922—22no—
731#11719922C2×D414yescomplemented
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#11719921—21no—
752#11719921—21no—
753#11719921C2×D411yescharacteristic
754#11719921C2×D411yescharacteristic
755#11719921C2×D411yescharacteristic
756#11719921C2×D411yescharacteristic
757#11719921C2×D411yescharacteristic
758#11719921C2×D411yescharacteristic
759C4⋊Dic53—21no—
760C4⋊Dic53—21no—
761C4⋊Dic53C2×D411yescharacteristic
762C4⋊Dic53C2411yescharacteristic
763C4⋊Dic53C2411yescharacteristic
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
778#11719917—22no—
779#11719917—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#11719912C2×D414yescomplemented
796C8×D53—22no—
797C8×D53—22no—
798C8×D53—22no—
799C8×D53—22no—
800C8×D53—22no—
801C23×C53—21no—
802C23×C53—21no—
803C23×C53C22×D411yescharacteristic
804C23×C53C22×D411yescharacteristic
805C22×D53—21no—
806C22×D53—21no—
807C22×D53—22no—
808C22×D53—24no—
809C22×D53—21no—
810C22×D53—21no—
811C22×D53—21no—
812C22×D53—41no—
813C22×D53—41no—
814C22×D53—42no—
815C22×D53—42no—
816C22×D53—42no—
817C22×D53—42no—
818C22×D53—42no—
819C22×D53—42no—
820C22×D53—42no—
821C22×D53—81no—
822C22×D53—81no—
823C22×D53—81no—
824C22×D53—81no—
825C22×D53—81no—
826C22×D53—81no—
827C22×D53—81no—
828C22×D53—81no—
829C22×D53—81no—
830C22×D53—81no—
831C22×D53—81no—
832C22×D53—81no—
833C22×D53—81no—
834C22×D53C22×D411yescharacteristic
835C22×D53C22×D411yescharacteristic
836C22×D53C22×D411yescharacteristic
837Q8×C53—21no—
838Q8×C53—21no—
839Q8×C53—21no—
840Q8×C53—21no—
841Q8×C53—21no—
842Q8×C53—21no—
843Q8×C53—21no—
844Q8×C53—42no—
845Q8×C53C22×D412yes—
846D4×C53—21no—
847D4×C53—21no—
848D4×C53—21no—
849D4×C53—41no—
850D4×C53—42no—
851D4×C53—42no—
852D4×C53—42no—
853D4×C53—42no—
854D4×C53C22×D412yes—
855C2×C4×C53—21no—
856C2×C4×C53—21no—
857C2×C4×C53—21no—
858C2×C4×C53—21no—
859C2×C4×C53—21no—
860C2×C4×C53—21no—
861C2×C4×C53—21no—
862C2×C4×C53—21no—
863C2×C4×C53—21no—
864C2×C4×C53—21no—
865C2×C4×C53—42no—
866C2×C4×C53—42no—
867C2×C4×C53—42no—
868C2×C4×C53—42no—
869C2×C4×C53—81no—
870C2×C4×C53C22×D411yescharacteristic
871C2×C4×C53C22×D411yescharacteristic
872C2×C4×C53C22×D411yescharacteristic
873C2×C4×C53C22×D411yescharacteristic
874C2×C4×C53C2511yescharacteristic
875C22⋊D53—22no—
876C22⋊D53—22no—
877C22⋊D53—24no—
878C22⋊D53—41no—
879C22⋊D53—41no—
880C22⋊D53—42no—
881C22⋊D53—42no—
882C22⋊D53—42no—
883C22⋊D53—42no—
884C22⋊D53—42no—
885C22⋊D53—42no—
886C22⋊D53—81no—
887C22⋊D53—81no—
888C22⋊D53—81no—
889C22⋊D53—81no—
890C22⋊D53—81no—
891C2×Dic53—22no—
892C2×Dic53—21no—
893C2×Dic53—21no—
894C2×Dic53—21no—
895C2×Dic53—42no—
896C2×Dic53—81no—
897C2×Dic53C22×D411yescharacteristic
898C2×Dic53C22×D411yescharacteristic
899C2×Dic53C22×D411yescharacteristic
900C2×Dic53C22×D411yescharacteristic
901C2×Dic53C22×D411yescharacteristic
902D212—24no—
903D212—22no—
904D212—21no—
905D212—21no—
906D212—21no—
907D212—21no—
908D212—21no—
909D212—21no—
910D212—21no—
911D212—21no—
912D212—41no—
913D212—42no—
914D212—42no—
915D212—42no—
916D212—42no—
917D212—42no—
918D212—42no—
919D212—42no—
920D212—42no—
921D212—42no—
922D212—42no—
923D212—81no—
924D212—81no—
925D212—81no—
926D212—81no—
927D212—81no—
928D212C22×D412yes—
929D212C22×D412yes—
930C4×D53—22no—
931C4×D53—21no—
932C4×D53—21no—
933C4×D53—21no—
934C4×D53—21no—
935C4×D53—22no—
936C4×D53—24no—
937C4×D53—42no—
938C4×D53—42no—
939C4×D53—42no—
940C4×D53—42no—
941C4×D53—42no—
942C4×D53—42no—
943C4×D53—42no—
944C4×D53—42no—
945C4×D53—42no—
946C4×D53—81no—
947C4×D53—81no—
948C4×D53—81no—
949C4×D53—81no—
950C4×D53—81no—
951C4×D53C22×D412yes—
952C4×D53H(5,𝔽2)12yes—
953Dic106—22no—
954Dic106—21no—
955Dic106—21no—
956Dic106—42no—
957C8×C53—21no—
958C8×C53—21no—
959C8×C53—21no—
960C8×C53C22×D412yes—
961#88322—21no—
962#88322—21no—
963#88322—21no—
964#88322C22×D412yes—
965#61074—531nomaximal, Sylow
966C22×C53—21no—
967C22×C53—21no—
968C22×C53—21no—
969C22×C53—21no—
970C22×C53—21no—
971C22×C53—22no—
972C22×C53—21no—
973C22×C53—41no—
974C22×C53—41no—
975C22×C53—41no—
976C22×C53—41no—
977C22×C53—41no—
978C22×C53C23×D411yescharacteristic
979C2×D53—21no—
980C2×D53—21no—
981C2×D53—21no—
982C2×D53—21no—
983C2×D53—21no—
984C2×D53—21no—
985C2×D53—21no—
986C2×D53—22no—
987C2×D53—21no—
988C2×D53—22no—
989C2×D53—41no—
990C2×D53—41no—
991C2×D53—41no—
992C2×D53—41no—
993C2×D53—41no—
994C2×D53—41no—
995C2×D53—41no—
996C2×D53—41no—
997C2×D53—41no—
998C2×D53—41no—
999C2×D53—41no—
1000C2×D53—41no—
1001C2×D53—41no—
1002C2×D53—82no—
1003C2×D53—84no—
1004C2×D53—84no—
1005C2×D53—162no—
1006C2×D53—162no—
1007C2×D53—162no—
1008C2×D53—162no—
1009C2×D53—162no—
1010C2×D53D4212yes—
1011C4×C53—21no—
1012C4×C53—21no—
1013C4×C53—21no—
1014C4×C53—21no—
1015C4×C53—22no—
1016C4×C53—41no—
1017C4×C53—41no—
1018C4×C53—41no—
1019C4×C53—41no—
1020C4×C53—41no—
1021C4×C53C23×D411yescharacteristic
1022C4×C53C2×H(5,𝔽2)11yescharacteristic
1023Dic53—21no—
1024Dic53—21no—
1025Dic53—21no—
1026Dic53—21no—
1027Dic53—41no—
1028Dic53—41no—
1029Dic53—41no—
1030Dic53D4212yes—
1031C2×#576—531no—
1032C2×#575—531no—
1033#3488—531no—
1034#3485—531no—
1035#3284—531no—
1036#3284—531no—
1037#3280—531no—
1038#3280—531no—
1039#3275—531no—
1040#3275—531no—
1041#3272—531no—
1042#3272—531no—
1043#3269—531no—
1044#3269D5311yescharacteristic, complemented
1045#3268—531no—
1046#3268—531no—
1047#3267—531no—
1048#3267—531no—
1049#3264—531no—
1050#3264—531no—
1051#3154—531no—
1052#3063—531no—
1053#3055—531no—
1054#3046—531no—
1055#3041—531no—
1056#3012—531no—
1057#3009—531no—
1058#3002—531no—
1059C2×#449—531no—
1060#2946—531no—
1061#2933—531no—
1062C2×C53—41no—
1063C2×C53—42no—
1064C2×C53—41no—
1065C2×C53—81no—
1066C2×C53C2×D4211yescharacteristic
1067C2×C53#358411yescharacteristic
1068C2×C53#358511yescharacteristic
1069D53—22no—
1070D53—41no—
1071D53—41no—
1072D53—42no—
1073D53—42no—
1074D53—81no—
1075D53—81no—
1076D53—81no—
1077C2×H(5,𝔽2)—531no—
1078C2×H(5,𝔽2)—531no—
1079C22×#41—531no—
1080C22×#41—531no—
1081#576—1068no—
1082#575—1068no—
1083C2×#137—531no—
1084C2×#137—531no—
1085C2×#137—531no—
1086C2×#137C2×D5311yescharacteristic, complemented
1087C2×AGL(1,ℤ/8)—531no—
1088C2×AGL(1,ℤ/8)—531no—
1089C2×AGL(1,ℤ/8)—531no—
1090C2×AGL(1,ℤ/8)—531no—
1091C2×AGL(1,ℤ/8)—531no—
1092C2×AGL(1,ℤ/8)—531no—
1093C2×AGL(1,ℤ/8)—531no—
1094C2×AGL(1,ℤ/8)—531no—
1095C2×AGL(1,ℤ/8)—531no—
1096C2×#135—531no—
1097C2×#135—531no—
1098C2×#135—531no—
1099C2×#135—531no—
1100C2×#135—531no—
1101C2×#135—531no—
1102C2×#135—531no—
1103C2×#135C2×D5311yescharacteristic, complemented
1104C22×SD16—531no—
1105C22×D8—531no—
1106C22×D8—531no—
1107C22×D8—531no—
1108C2×#131—531no—
1109C22×M16—531no—
1110#550—531no—
1111#550—531no—
1112#548—531no—
1113#548C2×D5311yescharacteristic, complemented
1114#547—531no—
1115#547—531no—
1116#547—531no—
1117#547—1061no—
1118#547—1061no—
1119#547C2×D5311yescharacteristic, complemented
1120#546—531no—
1121#546—531no—
1122#546—531no—
1123#546—531no—
1124#546—531no—
1125#546—531no—
1126#546—1061no—
1127#546—1061no—
1128#546—1061no—
1129#546—1061no—
1130D42—531no—
1131D42—531no—
1132D42—1061no—
1133D42—1061no—
1134#537—531no—
1135#537—1061no—
1136#536—531no—
1137#536—531no—
1138#535—531no—
1139#535—1061no—
1140#534—1061no—
1141#534—1061no—
1142#525—531no—
1143#525—531no—
1144#525—1061no—
1145C2×#123—1061no—
1146C2×#123—1061no—
1147C2×#121—531no—
1148C2×#121—1061no—
1149#520—531no—
1150#518—531no—
1151#497—531no—
1152#497C2×D5311yescharacteristic, complemented
1153#496—531no—
1154#496—531no—
1155#495—531no—
1156#495—531no—
1157#492—531no—
1158#492—531no—
1159#470—531no—
1160#470—531no—
1161#469—531no—
1162#469—531no—
1163#468—531no—
1164#468—531no—
1165#468—531no—
1166#468C2×D5311yescharacteristic, complemented
1167#467—531no—
1168#467C2×D5311yescharacteristic, complemented
1169#466—531no—
1170#466—531no—
1171#465—531no—
1172#465—531no—
1173#465—531no—
1174#465—531no—
1175#464—531no—
1176#464—531no—
1177#463—531no—
1178#463—531no—
1179#463—531no—
1180#463—531no—
1181#463—531no—
1182#463C2×D5311yescharacteristic, complemented
1183#462—531no—
1184#462C2×D5311yescharacteristic, complemented
1185#461—531no—
1186#461—531no—
1187#459—531no—
1188#459—531no—
1189#459—531no—
1190#459—531no—
1191#452—531no—
1192#452—531no—
1193#452—531no—
1194#452—531no—
1195#452—531no—
1196#452—531no—
1197#452C2×D5311yescharacteristic, complemented
1198#452C2×D5311yescharacteristic, complemented
1199#451C2×D5311yescharacteristic, complemented
1200#450—531no—
1201#450—531no—
1202#450—531no—
1203#450—531no—
1204#450—531no—
1205#450—531no—
1206#450—531no—
1207#449—531no—
1208#449—531no—
1209#449—531no—
1210#449—531no—
1211#449—531no—
1212#449—531no—
1213#449—531no—
1214#449—531no—
1215#449—531no—
1216#449—531no—
1217#449—531no—
1218#449C2×D5311yescharacteristic, complemented
1219#448—531no—
1220#447—531no—
1221#447—531no—
1222#447—531no—
1223#442—531no—
1224#442—531no—
1225#440—531no—
1226#440C2×D5311yescharacteristic, complemented
1227C4×SD16—531no—
1228C4×SD16—531no—
1229C4×D8—531no—
1230C4×D8—531no—
1231#436—531no—
1232#436—531no—
1233#435—531no—
1234#435—531no—
1235#435—531no—
1236#435C2×D5311yescharacteristic, complemented
1237C8×D4—531no—
1238C8×D4—531no—
1239#428—531no—
1240#424—531no—
1241#418—531no—
1242#417—531no—
1243#416—531no—
1244#416—531no—
1245C2×#103—531no—
1246C2×#102—531no—
1247#408—531no—
1248C2×C22⋊C8—531no—
1249#405—531no—
1250C53#6107411yescharacteristic, complemented, Sylow
1251H(5,𝔽2)—1064no—
1252H(5,𝔽2)—1064no—
1253H(5,𝔽2)—2122no—
1254H(5,𝔽2)—2122no—
1255C2×#41—531no—
1256C2×#41—531no—
1257C2×#41—531no—
1258C2×#41—531no—
1259C2×#41—531no—
1260C2×#41—531no—
1261C2×#41—531no—
1262C2×#41—531no—
1263C2×#41—531no—
1264C2×#41—531no—
1265C2×#41—531no—
1266C2×#41—1061no—
1267C2×#41—1061no—
1268C2×#41—1061no—
1269C2×#41—1061no—
1270C2×#41—1061no—
1271C2×#41—1061no—
1272C2×#41—1064no—
1273C2×#41—1064no—
1274C2×#41—2122no—
1275C2×#41—2122no—
1276C2×#41C22×D5311yescharacteristic
1277C2×#41C22×D5311yescharacteristic
1278C2×#41C22×D5311yescharacteristic
1279C22×Q8—531no—
1280C22×Q8C22×D5311yescharacteristic
1281C22×D4—531no—
1282C22×D4—531no—
1283C22×D4—531no—
1284C22×D4—531no—
1285C22×D4—531no—
1286C22×D4—531no—
1287C22×D4—531no—
1288C22×D4—1061no—
1289C22×D4—1061no—
1290C22×D4—1061no—
1291C22×D4—1061no—
1292C22×D4—1061no—
1293C22×D4—1061no—
1294C22×D4—1061no—
1295C22×D4—1061no—
1296C22×D4—1061no—
1297C22×D4—1061no—
1298C22×D4—1061no—
1299C23×C4—531no—
1300C23×C4—1061no—
1301C23×C4—1061no—
1302#137—24no—
1303#137—1064no—
1304#137—1064no—
1305#137—1064no—
1306AGL(1,ℤ/8)—538no—
1307AGL(1,ℤ/8)—1064no—
1308AGL(1,ℤ/8)—1064no—
1309AGL(1,ℤ/8)—1064no—
1310AGL(1,ℤ/8)—1064no—
1311AGL(1,ℤ/8)—1064no—
1312AGL(1,ℤ/8)—1064no—
1313AGL(1,ℤ/8)—1064no—
1314AGL(1,ℤ/8)—1064no—
1315#135—24no—
1316#135—1064no—
1317#135—1064no—
1318#135—1064no—
1319#135—1064no—
1320#135—1064no—
1321#135—1064no—
1322#135—2122no—
1323C2×Q16—531no—
1324C2×Q16—531no—
1325C2×Q16C22×D5311yescharacteristic
1326C2×Q16C22×D5311yescharacteristic
1327C2×Q16C22×D5311yescharacteristic
1328C2×Q16C22×D5311yescharacteristic
1329C2×SD16—531no—
1330C2×SD16—531no—
1331C2×SD16—531no—
1332C2×SD16—531no—
1333C2×SD16—531no—
1334C2×SD16—531no—
1335C2×SD16—531no—
1336C2×SD16—531no—
1337C2×SD16—531no—
1338C2×SD16—531no—
1339C2×SD16—531no—
1340C2×SD16—531no—
1341C2×SD16—531no—
1342C2×SD16—531no—
1343C2×SD16—2122no—
1344C2×SD16C22×D5311yescharacteristic
1345C2×SD16C22×D5311yescharacteristic
1346C2×SD16C22×D5311yescharacteristic
1347C2×SD16C22×D5311yescharacteristic
1348C2×D8—531no—
1349C2×D8—531no—
1350C2×D8—531no—
1351C2×D8—531no—
1352C2×D8—531no—
1353C2×D8—531no—
1354C2×D8—531no—
1355C2×D8—531no—
1356C2×D8—531no—
1357C2×D8—531no—
1358C2×D8—531no—
1359C2×D8—1064no—
1360C2×D8—1064no—
1361C2×D8—1064no—
1362C2×D8C22×D5311yescharacteristic
1363#131—1064no—
1364C2×M16—531no—
1365C2×M16—531no—
1366C2×M16—531no—
1367C2×M16—531no—
1368C2×M16—531no—
1369C2×M16—1064no—
1370C2×M16C22×D5311yescharacteristic
1371C22×C8—531no—
1372C22×C8—531no—
1373C22×C8—531no—
1374C22×C8—531no—
1375C22×C8—531no—
1376C22×C8C22×D5311yescharacteristic
1377C4⋊Q8—531no—
1378C4⋊Q8—1061no—
1379C4⋊Q8C22×D5311yescharacteristic
1380#127—531no—
1381#127—531no—
1382#127—1061no—
1383#127—1061no—
1384#124—21no—
1385#124—531no—
1386#124—531no—
1387#124—531no—
1388#124—1061no—
1389#124—1061no—
1390#124C22×D5311yescharacteristic
1391#123—21no—
1392#123—21no—
1393#123—531no—
1394#123—531no—
1395#123—1061no—
1396#123—1061no—
1397#123—1061no—
1398#123—1061no—
1399#123—1061no—
1400#123—1061no—
1401#123—1061no—
1402#123—1061no—
1403#123—1061no—
1404#123—1061no—
1405#123—1061no—
1406#123—1061no—
1407#123—1061no—
1408#123—1061no—
1409#123—1061no—
1410#123—1061no—
1411#123—1061no—
1412C22⋊Q8—21no—
1413C22⋊Q8—531no—
1414C22⋊Q8—531no—
1415C22⋊Q8—531no—
1416C22⋊Q8—531no—
1417C22⋊Q8—531no—
1418C22⋊Q8—531no—
1419C22⋊Q8—531no—
1420C22⋊Q8—1061no—
1421C22⋊Q8—1061no—
1422C22⋊Q8—1061no—
1423C22⋊Q8—1061no—
1424C22⋊Q8C22×D5311yescharacteristic
1425C22⋊Q8C22×D5311yescharacteristic
1426C22⋊Q8C22×D5311yescharacteristic
1427#121—21no—
1428#121—21no—
1429#121—531no—
1430#121—531no—
1431#121—531no—
1432#121—531no—
1433#121—531no—
1434#121—531no—
1435#121—531no—
1436#121—531no—
1437#121—531no—
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#121—1061no—
1455#121—1061no—
1456#121—1061no—
1457#121—1061no—
1458#121—1061no—
1459#121—1061no—
1460#121—1061no—
1461#121C22×D5311yescharacteristic
1462#120—531no—
1463#120—531no—
1464#120—1061no—
1465#120—1061no—
1466#120—1061no—
1467#120—1061no—
1468#120—1061no—
1469#120—1061no—
1470#120—1061no—
1471#120—1061no—
1472#120—1061no—
1473#120—1061no—
1474#120—1061no—
1475#120—1061no—
1476#120—1061no—
1477C4×Q8—531no—
1478C4×Q8C22×D5311yescharacteristic
1479C4×D4—21no—
1480C4×D4—531no—
1481C4×D4—531no—
1482C4×D4—531no—
1483C4×D4—531no—
1484C4×D4—531no—
1485C4×D4—531no—
1486C4×D4—531no—
1487C4×D4—531no—
1488C4×D4—1061no—
1489C4×D4—1061no—
1490C4×D4—1061no—
1491C4×D4—1061no—
1492C4×D4—1061no—
1493C4×D4—1061no—
1494C4×D4—1061no—
1495C4×D4—1061no—
1496C4×D4—1061no—
1497C4×D4C22×D5311yescharacteristic
1498C4×D4C22×D5311yescharacteristic
1499#117—531no—
1500#117—531no—
1501#117—1061no—
1502C2×C4⋊C4—21no—
1503C2×C4⋊C4—531no—
1504C2×C4⋊C4—1061no—
1505C2×C4⋊C4—1061no—
1506C2×C4⋊C4—1061no—
1507C2×C4⋊C4—1061no—
1508C2×C22⋊C4—1061no—
1509C2×C22⋊C4—1061no—
1510C2×C22⋊C4—1061no—
1511C2×C22⋊C4—1061no—
1512C2×C22⋊C4—1061no—
1513C2×C22⋊C4—1061no—
1514C2×C22⋊C4—1061no—
1515C2×C22⋊C4—1061no—
1516C2×C22⋊C4—1061no—
1517#107—531no—
1518#107C22×D5311yescharacteristic
1519#106—531no—
1520#106—531no—
1521C4⋊C8—531no—
1522C4⋊C8—531no—
1523C4⋊C8—531no—
1524C4⋊C8C22×D5311yescharacteristic
1525#103—531no—
1526#103—531no—
1527#103—531no—
1528#103—531no—
1529#103—531no—
1530#103—531no—
1531#103C22×D5311yescharacteristic
1532#103C22×D5311yescharacteristic
1533#103C22×D5311yescharacteristic
1534#103C22×D5311yescharacteristic
1535#102—531no—
1536#102—531no—
1537#102—531no—
1538#102—531no—
1539#102—531no—
1540#102—531no—
1541#102—531no—
1542#102—531no—
1543#102—531no—
1544#102—531no—
1545#102—531no—
1546#102—531no—
1547#102C22×D5311yescharacteristic
1548#102C22×D5311yescharacteristic
1549C22⋊C8—531no—
1550C22⋊C8—531no—
1551C22⋊C8—531no—
1552C22⋊C8—531no—
1553C22⋊C8—531no—
1554C22⋊C8—531no—
1555C22⋊C8C22×D5311yescharacteristic
1556C22⋊C8C22×D5311yescharacteristic
1557#97—531no—
1558#97C22×D5311yescharacteristic
1559C4×C8—531no—
1560C4×C8—531no—
1561C24—531no—
1562C24—1061no—
1563C24—1061no—
1564C24—1061no—
1565C24—1061no—
1566C24—1061no—
1567C24—1061no—
1568C24—1061no—
1569#41—22no—
1570#41—22no—
1571#41—22no—
1572#41—41no—
1573#41—41no—
1574#41—41no—
1575#41—534no—
1576#41—1062no—
1577#41—1062no—
1578#41—1062no—
1579#41—1062no—
1580#41—1062no—
1581#41—1062no—
1582#41—1062no—
1583#41—1062no—
1584#41—1062no—
1585#41—1062no—
1586#41—1062no—
1587#41—1062no—
1588#41—1062no—
1589#41—1062no—
1590#41—2121no—
1591#41—2124no—
1592#41—2124no—
1593#41—2124no—
1594#41—2124no—
1595#41—2121no—
1596#41—2124no—
1597#41—2121no—
1598#41—2121no—
1599#41—2121no—
1600#41—2121no—
1601#41—2121no—
1602#41—2124no—
1603C2×Q8—21no—
1604C2×Q8—22no—
1605C2×Q8—41no—
1606C2×Q8—531no—
1607C2×Q8—531no—
1608C2×Q8—1061no—
1609C2×Q8—1062no—
1610C2×Q8—1062no—
1611C2×Q8C23×D5311yescharacteristic
1612C2×Q8C23×D5311yescharacteristic
1613C2×Q8C23×D5311yescharacteristic
1614C2×Q8C23×D5311yescharacteristic
1615C2×D4—21no—
1616C2×D4—21no—
1617C2×D4—21no—
1618C2×D4—21no—
1619C2×D4—534no—
1620C2×D4—531no—
1621C2×D4—531no—
1622C2×D4—531no—
1623C2×D4—531no—
1624C2×D4—531no—
1625C2×D4—531no—
1626C2×D4—531no—
1627C2×D4—531no—
1628C2×D4—531no—
1629C2×D4—531no—
1630C2×D4—531no—
1631C2×D4—1062no—
1632C2×D4—1062no—
1633C2×D4—1062no—
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—1061no—
1644C2×D4—1061no—
1645C2×D4—1062no—
1646C2×D4—1062no—
1647C2×D4—1062no—
1648C2×D4—1061no—
1649C2×D4—1061no—
1650C2×D4—1061no—
1651C2×D4—1061no—
1652C2×D4—1061no—
1653C2×D4—1061no—
1654C2×D4—1062no—
1655C2×D4—1062no—
1656C2×D4—1061no—
1657C2×D4—1061no—
1658C2×D4—1061no—
1659C2×D4—1061no—
1660C2×D4—1061no—
1661C2×D4—1061no—
1662C2×D4—1061no—
1663C2×D4—1061no—
1664C2×D4—1061no—
1665C2×D4—1061no—
1666C2×D4—1061no—
1667C2×D4—4242no—
1668C2×D4—4242no—
1669C2×D4—4242no—
1670C2×D4—2121no—
1671C2×D4—2121no—
1672C2×D4—2121no—
1673C2×D4—2124no—
1674C2×D4—2124no—
1675C2×D4—2124no—
1676C2×D4—2121no—
1677C2×D4—2121no—
1678C2×D4—2124no—
1679C2×D4—2124no—
1680C2×D4—2124no—
1681C2×D4—2124no—
1682C2×D4—2124no—
1683C2×D4D4×D5311yescharacteristic
1684C2×D4C23×D5311yescharacteristic
1685C2×D4C23×D5311yescharacteristic
1686C22×C4—21no—
1687C22×C4—21no—
1688C22×C4—21no—
1689C22×C4—21no—
1690C22×C4—21no—
1691C22×C4—531no—
1692C22×C4—531no—
1693C22×C4—531no—
1694C22×C4—531no—
1695C22×C4—531no—
1696C22×C4—531no—
1697C22×C4—1061no—
1698C22×C4—1062no—
1699C22×C4—1062no—
1700C22×C4—1061no—
1701C22×C4—1061no—
1702C22×C4—1061no—
1703C22×C4—1061no—
1704C22×C4—1061no—
1705C22×C4—1061no—
1706C22×C4—1061no—
1707C22×C4—1061no—
1708C22×C4—1061no—
1709C22×C4—1061no—
1710C22×C4—1061no—
1711C22×C4—1061no—
1712C22×C4—1061no—
1713C22×C4—1061no—
1714C22×C4—1061no—
1715C22×C4—1061no—
1716C22×C4—2124no—
1717C22×C4—2124no—
1718C22×C4C23×D5311yescharacteristic
1719C22×C4C23×D5311yescharacteristic
1720Q16—22no—
1721Q16—22no—
1722Q16—22no—
1723Q16—41no—
1724Q16—1062no—
1725Q16—1062no—
1726SD16—22no—
1727SD16—22no—
1728SD16—41no—
1729SD16—534no—
1730SD16—1062no—
1731SD16—1062no—
1732SD16—1062no—
1733SD16—1062no—
1734SD16—1062no—
1735SD16—1062no—
1736SD16—1062no—
1737SD16—1062no—
1738SD16—2121no—
1739SD16—2121no—
1740SD16—2121no—
1741SD16—2121no—
1742SD16—2121no—
1743SD16D4×D5314yescomplemented
1744D8—22no—
1745D8—534no—
1746D8—534no—
1747D8—1062no—
1748D8—1062no—
1749D8—1062no—
1750D8—1062no—
1751D8—1062no—
1752D8—1062no—
1753D8—1062no—
1754D8—1062no—
1755D8—2121no—
1756M16—22no—
1757M16—534no—
1758M16—1062no—
1759M16—1062no—
1760M16—1062no—
1761M16—1062no—
1762C2×C8—22no—
1763C2×C8—531no—
1764C2×C8—531no—
1765C2×C8—531no—
1766C2×C8—531no—
1767C2×C8—1062no—
1768C2×C8—1062no—
1769C2×C8—1062no—
1770C2×C8—1062no—
1771C2×C8—1062no—
1772C2×C8C23×D5311yescharacteristic
1773C2×C8C23×D5311yescharacteristic
1774C2×C8C23×D5311yescharacteristic
1775C2×C8C23×D5311yescharacteristic
1776C4⋊C4—21no—
1777C4⋊C4—21no—
1778C4⋊C4—21no—
1779C4⋊C4—21no—
1780C4⋊C4—21no—
1781C4⋊C4—21no—
1782C4⋊C4—531no—
1783C4⋊C4—531no—
1784C4⋊C4—531no—
1785C4⋊C4—531no—
1786C4⋊C4—531no—
1787C4⋊C4—531no—
1788C4⋊C4—531no—
1789C4⋊C4—1061no—
1790C4⋊C4—1061no—
1791C4⋊C4—1061no—
1792C4⋊C4—1061no—
1793C4⋊C4—1061no—
1794C4⋊C4—1061no—
1795C4⋊C4—1061no—
1796C4⋊C4—1061no—
1797C4⋊C4—1061no—
1798C4⋊C4D4×D5311yescharacteristic
1799C4⋊C4C23×D5311yescharacteristic
1800C4⋊C4C23×D5311yescharacteristic
1801C22⋊C4—21no—
1802C22⋊C4—21no—
1803C22⋊C4—21no—
1804C22⋊C4—21no—
1805C22⋊C4—21no—
1806C22⋊C4—21no—
1807C22⋊C4—21no—
1808C22⋊C4—531no—
1809C22⋊C4—531no—
1810C22⋊C4—531no—
1811C22⋊C4—531no—
1812C22⋊C4—531no—
1813C22⋊C4—531no—
1814C22⋊C4—531no—
1815C22⋊C4—531no—
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⋊C4—1061no—
1830C22⋊C4—1061no—
1831C22⋊C4—1061no—
1832C22⋊C4—1061no—
1833C22⋊C4—1061no—
1834C22⋊C4—1061no—
1835C22⋊C4—1061no—
1836C22⋊C4—1061no—
1837C22⋊C4—1061no—
1838C22⋊C4—1061no—
1839C22⋊C4—1061no—
1840C22⋊C4D4×D5311yescharacteristic
1841C22⋊C4D4×D5311yescharacteristic
1842C42—21no—
1843C42—531no—
1844C42—1061no—
1845C42—1061no—
1846C42C23×D5311yescharacteristic
1847C23—21no—
1848C23—21no—
1849C23—531no—
1850C23—531no—
1851C23—531no—
1852C23—1062no—
1853C23—1064no—
1854C23—1061no—
1855C23—1061no—
1856C23—1061no—
1857C23—1061no—
1858C23—1061no—
1859C23—4241no—
1860C23—4241no—
1861C23—4241no—
1862C23—4241no—
1863C23—4241no—
1864C23—4241no—
1865C23—4241no—
1866C23—4241no—
1867C23—4241no—
1868C23—4241no—
1869C23—4241no—
1870C23—4241no—
1871C23—4241no—
1872C23—2122no—
1873C23—2122no—
1874C23—2122no—
1875C23—2121no—
1876C23—2121no—
1877C23—2122no—
1878C23—2122no—
1879C23—2122no—
1880C23—2122no—
1881C23C2×D4×D5311yescharacteristic
1882C23C2×D4×D5311yescharacteristic
1883Q8—21no—
1884Q8—21no—
1885Q8—21no—
1886Q8—21no—
1887Q8—21no—
1888Q8—21no—
1889Q8—21no—
1890Q8—42no—
1891Q8—1062no—
1892Q8—1061no—
1893Q8—1061no—
1894Q8—2122no—
1895Q8C2×D4×D5312yes—
1896D4—21no—
1897D4—21no—
1898D4—21no—
1899D4—41no—
1900D4—42no—
1901D4—42no—
1902D4—42no—
1903D4—42no—
1904D4—532no—
1905D4—532no—
1906D4—1062no—
1907D4—1064no—
1908D4—1064no—
1909D4—1062no—
1910D4—1062no—
1911D4—1061no—
1912D4—1061no—
1913D4—1061no—
1914D4—1061no—
1915D4—1061no—
1916D4—1061no—
1917D4—1061no—
1918D4—1061no—
1919D4—4241no—
1920D4—4241no—
1921D4—4241no—
1922D4—4241no—
1923D4—4241no—
1924D4—4241no—
1925D4—4241no—
1926D4—4241no—
1927D4—4241no—
1928D4—4241no—
1929D4—2121no—
1930D4—2122no—
1931D4—2122no—
1932D4—2122no—
1933D4—2122no—
1934D4—2122no—
1935D4—2122no—
1936D4—2122no—
1937D4—2122no—
1938D4—2122no—
1939D4—2122no—
1940D4—2122no—
1941D4—2121no—
1942D4—2121no—
1943D4—2122no—
1944D4—2122no—
1945D4—2122no—
1946D4—2122no—
1947D4—2122no—
1948D4C2×D4×D5312yes—
1949C2×C4—21no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—21no—
1953C2×C4—21no—
1954C2×C4—21no—
1955C2×C4—21no—
1956C2×C4—21no—
1957C2×C4—21no—
1958C2×C4—21no—
1959C2×C4—42no—
1960C2×C4—42no—
1961C2×C4—42no—
1962C2×C4—42no—
1963C2×C4—81no—
1964C2×C4—531no—
1965C2×C4—532no—
1966C2×C4—532no—
1967C2×C4—531no—
1968C2×C4—531no—
1969C2×C4—531no—
1970C2×C4—531no—
1971C2×C4—1062no—
1972C2×C4—1064no—
1973C2×C4—1062no—
1974C2×C4—1062no—
1975C2×C4—1061no—
1976C2×C4—1061no—
1977C2×C4—1061no—
1978C2×C4—1061no—
1979C2×C4—1061no—
1980C2×C4—1061no—
1981C2×C4—1061no—
1982C2×C4—4241no—
1983C2×C4—4241no—
1984C2×C4—4241no—
1985C2×C4—4241no—
1986C2×C4—4241no—
1987C2×C4—4241no—
1988C2×C4—2122no—
1989C2×C4—2122no—
1990C2×C4—2122no—
1991C2×C4—2122no—
1992C2×C4—2122no—
1993C2×C4—2122no—
1994C2×C4—2122no—
1995C2×C4—2122no—
1996C2×C4—2122no—
1997C2×C4—2122no—
1998C2×C4C2×D4×D5311yescharacteristic
1999C2×C4C2×D4×D5311yescharacteristic
2000C2×C4C2×D4×D5311yescharacteristic
2001C2×C4C2×D4×D5311yescharacteristic
2002C2×C4C24×D5311yescharacteristic
2003C8—21no—
2004C8—21no—
2005C8—21no—
2006C8—532no—
2007C8—1061no—
2008C8—1061no—
2009C8—1061no—
2010C8C2×D4×D5312yes—
2011C22—21no—
2012C22—21no—
2013C22—22no—
2014C22—21no—
2015C22—21no—
2016C22—21no—
2017C22—21no—
2018C22—41no—
2019C22—41no—
2020C22—41no—
2021C22—41no—
2022C22—41no—
2023C22—532no—
2024C22—8482no—
2025C22—8482no—
2026C22—8482no—
2027C22—8482no—
2028C22—8482no—
2029C22—1061no—
2030C22—1061no—
2031C22—1061no—
2032C22—1062no—
2033C22—1061no—
2034C22—1062no—
2035C22—1061no—
2036C22—1061no—
2037C22—1061no—
2038C22—1061no—
2039C22—4244no—
2040C22—4242no—
2041C22—4244no—
2042C22—2121no—
2043C22—2121no—
2044C22—2121no—
2045C22—2121no—
2046C22—2121no—
2047C22—2121no—
2048C22—2121no—
2049C22—2121no—
2050C22—2121no—
2051C22—2121no—
2052C22—2121no—
2053C22—2121no—
2054C22—2121no—
2055C22C22×D4×D5311yescharacteristic
2056C4—21no—
2057C4—21no—
2058C4—22no—
2059C4—21no—
2060C4—21no—
2061C4—41no—
2062C4—41no—
2063C4—41no—
2064C4—41no—
2065C4—41no—
2066C4—532no—
2067C4—1061no—
2068C4—1061no—
2069C4—1061no—
2070C4—1061no—
2071C4—2121no—
2072C4—2121no—
2073C4—2121no—
2074C4C22×D4×D5311yescharacteristic
2075C4H(5,𝔽2)×D5311yescharacteristic
2076C2—41no—
2077C2—41no—
2078C2—42no—
2079C2—81no—
2080C2—1062no—
2081C2—4241no—
2082C2—4241no—
2083C2—4241no—
2084C2—2121no—
2085C2—2122no—
2086C2—2122no—
2087C2—2121no—
2088C2D42×D5311yescharacteristic
2089C2#2028948511yescharacteristic
2090C2#2028949211yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3269C2
socleC22×C53C23×D4
hypercenter#3269D53
hypocenterC53#61074
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. C2×#16811425C2semidirect
2. C2×#16811422C2semidirect
3. #20288381C2semidirect
4. #20288354C2semidirect
5. #20286440C2semidirect
6. #20286439C2semidirect
7. #20286397C2semidirect
8. #20286395C2semidirect
9. #20286347C2semidirect
10. #20286340C2semidirect
11. #20286315C2semidirect
12. #20286312C2semidirect
13. #20286273C2semidirect
14. #20286258C2semidirect
15. #20286257C2semidirect
16. #20286243C2semidirect
17. #20286239C2semidirect
18. #20286200C2semidirect
19. #20286198C2semidirect
20. #20285190C2semidirect
21. #20284405C2semidirect
22. #20284329C2semidirect
23. #20284262C2semidirect
24. #20284216C2semidirect
25. #20284023C2semidirect
26. #20283989C2semidirect
27. #20283938C2semidirect
28. #449×D53C2semidirect
29. #20283546C2semidirect
30. #20283438C2semidirect
31. C53×#3269C2semidirect
33. C2×#13133263C22semidirect
34. C22×#11719949C22semidirect
35. C2×#41×D53C22semidirect
38. C2×#13133249C22semidirect
39. C2×#13133249C22semidirect
40. C2×#13133248C22semidirect
41. C2×#13133245C22semidirect
43. C2×#13133244C22semidirect
44. C2×#13133244C22semidirect
45. C2×#13133244C22semidirect
46. C2×#13133244C22semidirect
47. C2×#13133242C22semidirect
48. C2×#13133242C22semidirect
49. C2×#13133242C22semidirect
51. C2×#13133240C22semidirect
52. C2×#13133240C22semidirect
53. C2×#13133240C22semidirect
54. C2×#13133240C22semidirect
55. C2×#13133238C22semidirect
56. C2×#13133238C22semidirect
57. C2×SD16×D53C22semidirect
58. C22×D424C22semidirect
59. C2×D8×D53C22semidirect
60. C2×D8×D53C22semidirect
61. C2×#13133223C22semidirect
62. C2×M16×D53C22semidirect
63. #16811295C22semidirect
64. #16811292C22semidirect
65. #16811284C22semidirect
66. #16811276C22semidirect
67. #16811275C22semidirect
69. #16811272C22semidirect
71. #16811269C22semidirect
72. #16811268C22semidirect
74. #16811266C22semidirect
77. #16811264C22semidirect
78. #16811264C22semidirect
80. #16811261C22semidirect
82. D4×D212C22semidirect
84. #16811257C22semidirect
87. #16811198C22semidirect
88. #16811196C22semidirect
90. #16811191C22semidirect
93. #16811136C22semidirect
99. #121×D53C22semidirect
100. #16811105C22semidirect
101. #16811095C22semidirect
102. #16811016C22semidirect
103. #16811012C22semidirect
104. #16811009C22semidirect
105. #16811008C22semidirect
106. #16811005C22semidirect
107. #16810997C22semidirect
108. #16810994C22semidirect
109. #16810879C22semidirect
110. #16810878C22semidirect
111. #16810876C22semidirect
112. #16810874C22semidirect
113. #16810871C22semidirect
114. #16810871C22semidirect
115. #16810870C22semidirect
116. #16810863C22semidirect
117. #16810860C22semidirect
118. #16810858C22semidirect
119. #16810855C22semidirect
120. #16810855C22semidirect
121. #16810852C22semidirect
122. #16810849C22semidirect
123. #16810847C22semidirect
124. #16810845C22semidirect
125. #16810841C22semidirect
126. #16810841C22semidirect
127. #16810840C22semidirect
128. #16810839C22semidirect
129. #16810835C22semidirect
130. #16810831C22semidirect
131. #16810827C22semidirect
132. #16810825C22semidirect
133. #16810819C22semidirect
134. #16810818C22semidirect
135. #16810817C22semidirect
136. #16810816C22semidirect
137. #16810788C22semidirect
138. #16810785C22semidirect
139. #16810784C22semidirect
140. #16810784C22semidirect
141. #16810784C22semidirect
142. #16810784C22semidirect
143. #16810776C22semidirect
144. #16810775C22semidirect
145. #16810773C22semidirect
146. #16810773C22semidirect
147. #16810773C22semidirect
148. #16810772C22semidirect
149. #16810772C22semidirect
150. #16810771C22semidirect
151. #16810771C22semidirect
152. #16810771C22semidirect
153. #16810771C22semidirect
154. #16810770C22semidirect
155. #16810769C22semidirect
156. #16810768C22semidirect
157. #16810768C22semidirect
158. #16810767C22semidirect
159. #16810766C22semidirect
160. #16810765C22semidirect
161. #16810762C22semidirect
162. #16810759C22semidirect
163. #16810759C22semidirect
164. #16810758C22semidirect
165. #16810736C22semidirect
166. #16810732C22semidirect
167. #16810726C22semidirect
168. SD16×Dic53C22semidirect
169. C4×#11719924C22semidirect
170. #16810705C22semidirect
171. C4×#11719922C22semidirect
172. #16810701C22semidirect
173. #16810699C22semidirect
174. #16810697C22semidirect
175. #16810697C22semidirect
176. #16810696C22semidirect
177. #16810688C22semidirect
178. C8×C22⋊D53C22semidirect
179. #16810664C22semidirect
180. #16810648C22semidirect
181. #16810626C22semidirect
182. #16810623C22semidirect
183. #16810618C22semidirect
184. #16810618C22semidirect
185. #103×D53C22semidirect
186. #102×D53C22semidirect
187. #16810588C22semidirect
188. C22⋊C8×D53C22semidirect
189. #16810580C22semidirect
190. C2×#137×C53C22semidirect
191. C2×#135×C53C22semidirect
192. C53×#548C22semidirect
193. C53×#547C22semidirect
194. C53×#497C22semidirect
195. C53×#468C22semidirect
196. C53×#467C22semidirect
197. C53×#463C22semidirect
198. C53×#462C22semidirect
199. C53×#452C22semidirect
200. C53×#452C22semidirect
201. C53×#451C22semidirect
202. C53×#449C22semidirect
203. C53×#440C22semidirect
204. C53×#435C22semidirect
260. #13133244D4semidirect
607. D4×D53C2×D4semidirect
681. SD16×C53C2×D4semidirect
725. #11719924C2×D4semidirect
731. #11719922C2×D4semidirect
789. D424C2×D4semidirect
795. #11719912C2×D4semidirect
1044. #3269D53semidirect
1086. C2×#137C2×D53semidirect
1103. C2×#135C2×D53semidirect
1113. #548C2×D53semidirect
1119. #547C2×D53semidirect
1152. #497C2×D53semidirect
1166. #468C2×D53semidirect
1168. #467C2×D53semidirect
1182. #463C2×D53semidirect
1184. #462C2×D53semidirect
1197. #452C2×D53semidirect
1198. #452C2×D53semidirect
1199. #451C2×D53semidirect
1218. #449C2×D53semidirect
1226. #440C2×D53semidirect
1236. #435C2×D53semidirect
1250. C53#61074semidirect
1743. SD16D4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168114252
C2×#168114222
#202883812
#202883542
#202864402
#202864392
#202863972
#202863952
#202863472
#202863402
#202863152
#202863122
#202862732
#202862582
#202862572
#202862432
#202862392
#202862002
#202861982
#202851902
#202844052
#202843292
#202842622
#202842162
#202840232
#202839892
#202839382
#449×D532
#202835462
#202834382
C53×#32692
#6107453