Finite Group Databasebeta

← #28259422

Subgroups — #28259422

Order 13568.

2870 conjugacy classes of subgroups.

The subgroup lattice has 2094 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811430C211yesmaximal, characteristic, complemented
2C22×SD16×D53C211yesmaximal, characteristic, complemented
3#20288361C211yesmaximal, characteristic, complemented
4#20288345C211yesmaximal, characteristic, complemented
5#20286421C211yesmaximal, characteristic, complemented
6#20286419C211yesmaximal, characteristic, complemented
7#20286416C211yesmaximal, characteristic, complemented
8D4×#11719913C211yesmaximal, characteristic, complemented
9SD16×D212C211yesmaximal, characteristic, complemented
10#20286408C211yesmaximal, characteristic, complemented
11SD16×C22⋊D53C211yesmaximal, characteristic, complemented
12#20286223C211yesmaximal, characteristic, complemented
13#20286221C211yesmaximal, characteristic, complemented
14#20286220C211yesmaximal, characteristic, complemented
15#20286218C211yesmaximal, characteristic, complemented
16#20286216C211yesmaximal, characteristic, complemented
17#20286214C211yesmaximal, characteristic, complemented
18#20286213C211yesmaximal, characteristic, complemented
19#20286211C211yesmaximal, characteristic, complemented
20#20285186C211yesmaximal, characteristic, complemented
21#20284349C211yesmaximal, characteristic, complemented
22#20284291C211yesmaximal, characteristic, complemented
23#20284234C211yesmaximal, characteristic, complemented
24#20284225C211yesmaximal, characteristic, complemented
25#20283998C211yesmaximal, characteristic, complemented
26#20283989C211yesmaximal, characteristic, complemented
27#20283950C211yesmaximal, characteristic, complemented
28#20283939C211yesmaximal, characteristic, complemented
29#20283569C211yesmaximal, characteristic, complemented
30#20283404C211yesmaximal, characteristic, complemented
31C53×#3282C211yesmaximal, characteristic, complemented
32C2×#13133264C2211yescharacteristic, complemented
33C2×#13133263C2211yescharacteristic
34C22×Q8×D53C2211yescharacteristic, complemented
35C22×D4×D53C2211yescharacteristic
36#16811430—28no—
37C2×#13133249C2211yescharacteristic, complemented
38C2×#13133249C2211yescharacteristic, complemented
39C2×#13133249C2211yescharacteristic, complemented
40C2×#13133247C2211yescharacteristic, complemented
41C2×#13133242C2211yescharacteristic, complemented
42C2×#13133241C2211yescharacteristic
43C2×#13133241C2211yescharacteristic, complemented
44C2×#13133241C2211yescharacteristic, complemented
45C2×#13133238C2211yescharacteristic, complemented
46C2×#13133238C2211yescharacteristic, complemented
47C22×#11719913C2211yescharacteristic, complemented
48C22×#11719913C2211yescharacteristic, complemented
49C22×#11719923C2211yescharacteristic, complemented
50C22×#11719924C2211yescharacteristic, complemented
51C2×SD16×D53—28no—
52C2×SD16×D53C2211yescharacteristic
53C2×SD16×D53C2211yescharacteristic
54C2×SD16×D53C2211yescharacteristic, complemented
55C2×SD16×D53C2211yescharacteristic, complemented
56C2×SD16×D53C2211yescharacteristic, complemented
57C2×SD16×D53C2211yescharacteristic, complemented
58C2×SD16×D53C2211yescharacteristic, complemented
59C2×SD16×D53C2211yescharacteristic, complemented
60C2×SD16×D53C2211yescharacteristic, complemented
61C2×#13133223C2211yescharacteristic, complemented
62C22×C8×D53C2211yescharacteristic, complemented
63Q8×D212C2211yescharacteristic, complemented
64D4×Dic106—21no—
65D4×Dic106C2211yescharacteristic, complemented
66Q8×C22⋊D53C2211yescharacteristic, complemented
67#16811286—21no—
68#16811286C2211yescharacteristic, complemented
69#16811281—21no—
70#16811281C2211yescharacteristic, complemented
71#16811280C2211yescharacteristic, complemented
72#16811279—21no—
73#16811279C2211yescharacteristic, complemented
74#16811266C2211yescharacteristic
75#16811265—21no—
76#16811264C2211yescharacteristic
77#16811263—21no—
78#16811261C2211yescharacteristic
79D4×D212C2211yescharacteristic
80D4×D212C2211yescharacteristic
81#16811257—21no—
82#16811257C2211yescharacteristic
83D4×C22⋊D53C2211yescharacteristic
84#16811255—21no—
85#16811196—21no—
86#16811196C2211yescharacteristic, complemented
87#16811193—21no—
88#16811193C2211yescharacteristic, complemented
89#16811191C2211yescharacteristic
90#16811189C2211yescharacteristic
91#16811184—21no—
92#16811181—21no—
93#16811136C2211yescharacteristic
94#16811133—21no—
95#16811133C2211yescharacteristic, complemented
96#16811132—21no—
97#16811132C2211yescharacteristic
98C2×#13133187—21no—
99#120×D53—21no—
100#16811099C2211yescharacteristic, complemented
101#16811095C2211yescharacteristic
102#16811018C2211yescharacteristic, complemented
103#16811016C2211yescharacteristic, complemented
104#16811013C2211yescharacteristic, complemented
105#16811011C2211yescharacteristic, complemented
106#16811004C2211yescharacteristic, complemented
107#16810996C2211yescharacteristic, complemented
108#16810994C2211yescharacteristic, complemented
109#16810872C2211yescharacteristic, complemented
110#16810871C2211yescharacteristic, complemented
111#16810868C2211yescharacteristic, complemented
112#16810867C2211yescharacteristic, complemented
113#16810863C2211yescharacteristic, complemented
114#16810862C2211yescharacteristic, complemented
115#16810858C2211yescharacteristic, complemented
116#16810857C2211yescharacteristic, complemented
117#16810853C2211yescharacteristic, complemented
118#16810853C2211yescharacteristic, complemented
119#16810852C2211yescharacteristic, complemented
120#16810852C2211yescharacteristic, complemented
121#16810849C2211yescharacteristic, complemented
122#16810849C2211yescharacteristic, complemented
123#16810848C2211yescharacteristic, complemented
124#16810847C2211yescharacteristic, complemented
125#16810842C2211yescharacteristic, complemented
126#16810837C2211yescharacteristic, complemented
127#16810836C2211yescharacteristic, complemented
128#16810835C2211yescharacteristic, complemented
129#16810829C2211yescharacteristic, complemented
130#16810828C2211yescharacteristic, complemented
131#16810827C2211yescharacteristic, complemented
132#16810826C2211yescharacteristic, complemented
133#16810824C2211yescharacteristic, complemented
134#16810823C2211yescharacteristic, complemented
135#16810822C2211yescharacteristic, complemented
136#16810821C2211yescharacteristic, complemented
137#16810788C2211yescharacteristic, complemented
138#16810785C2211yescharacteristic, complemented
139#16810784C2211yescharacteristic, complemented
140#16810778C2211yescharacteristic, complemented
141#16810777C2211yescharacteristic, complemented
142#16810777C2211yescharacteristic, complemented
143#16810776C2211yescharacteristic, complemented
144#16810776C2211yescharacteristic, complemented
145#16810775C2211yescharacteristic, complemented
146#16810775C2211yescharacteristic, complemented
147#16810775C2211yescharacteristic, complemented
148#16810774C2211yescharacteristic, complemented
149#16810773C2211yescharacteristic, complemented
150#16810772C2211yescharacteristic, complemented
151#16810769C2211yescharacteristic, complemented
152#16810768C2211yescharacteristic, complemented
153#16810765C2211yescharacteristic, complemented
154#16810764C2211yescharacteristic, complemented
155#16810764C2211yescharacteristic, complemented
156#16810763C2211yescharacteristic, complemented
157#16810763C2211yescharacteristic, complemented
158#16810763C2211yescharacteristic, complemented
159#16810762C2211yescharacteristic, complemented
160#16810761C2211yescharacteristic, complemented
161#16810760C2211yescharacteristic, complemented
162#16810756C2211yescharacteristic, complemented
163#16810755C2211yescharacteristic, complemented
164#16810755C2211yescharacteristic, complemented
165#16810726C2211yescharacteristic, complemented
166#16810723C2211yescharacteristic, complemented
167#16810721C2211yescharacteristic, complemented
168#16810720C2211yescharacteristic, complemented
169C4×#11719913C2211yescharacteristic, complemented
170SD16×Dic53C2211yescharacteristic, complemented
171#16810710C2211yescharacteristic, complemented
172#16810697C2211yescharacteristic, complemented
173#16810695C2211yescharacteristic, complemented
174#16810693C2211yescharacteristic, complemented
175#16810691C2211yescharacteristic, complemented
176C8×D212C2211yescharacteristic, complemented
177C8×C22⋊D53C2211yescharacteristic, complemented
178C8×C22⋊D53C2211yescharacteristic, complemented
179#16810658C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810630C2211yescharacteristic, complemented
182#16810630C2211yescharacteristic, complemented
183#16810626C2211yescharacteristic
184#16810626C2211yescharacteristic, complemented
185#16810618C2211yescharacteristic, complemented
186#16810616C2211yescharacteristic, complemented
187#16810588C2211yescharacteristic, complemented
188#16810585C2211yescharacteristic, complemented
189#16810577C2211yescharacteristic, complemented
190C2×#135×C53C2211yescharacteristic, complemented
191C22×SD16×C53C2211yescharacteristic, complemented
192C53×#548C2211yescharacteristic, complemented
193C53×#546C2211yescharacteristic
194C53×#495C2211yescharacteristic, complemented
195C53×#465C2211yescharacteristic, complemented
196C53×#465C2211yescharacteristic, complemented
197C53×#464C2211yescharacteristic, complemented
198C53×#463C2211yescharacteristic, complemented
199C53×#452C2211yescharacteristic, complemented
200C53×#451C2211yescharacteristic, complemented
201C53×#449C2211yescharacteristic, complemented
202C53×#447C2211yescharacteristic, complemented
203C4×SD16×C53C2211yescharacteristic, complemented
204C8×D4×C53C2211yescharacteristic, complemented
205C24×D53—21no—
206#13133264—24no—
207#13133264—42no—
208#13133263—24no—
209#13133263—42no—
210C2×#11719949C2311yescharacteristic
211C2×#11719949C2311yescharacteristic
212C2×#11719945—21no—
213C2×#11719945—21no—
214C2×#11719945C2311yescharacteristic
215C2×#11719947—21no—
216C2×#11719947—21no—
217C2×#11719947C2311yescharacteristic
218C2×#11719947C2311yescharacteristic, complemented
219C22×Dic106—21no—
220C22×Dic106—21no—
221C22×Dic106C2311yescharacteristic
222C22×Dic106C2311yescharacteristic, complemented
223C2×Q8×D53—21no—
224C2×Q8×D53—21no—
225C2×Q8×D53—24no—
226C2×Q8×D53—42no—
227C2×Q8×D53C2311yescharacteristic
228C2×Q8×D53C2311yescharacteristic
229C2×Q8×D53C2311yescharacteristic
230C2×Q8×D53C2311yescharacteristic
231C2×Q8×D53C2311yescharacteristic, complemented
232C22×D212—21no—
233C22×D212—21no—
234C22×D212C2311yescharacteristic
235C22×D212C2311yescharacteristic
236C22×C22⋊D53—21no—
237C22×C22⋊D53—21no—
238C2×D4×D53—24no—
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×D53—42no—
246C2×D4×D53C2311yescharacteristic
247C2×D4×D53C2311yescharacteristic
248C2×D4×D53C2311yescharacteristic
249C2×D4×D53C2311yescharacteristic
250C2×D4×D53C2311yescharacteristic
251C22×C4×D53—21no—
252C22×C4×D53C2311yescharacteristic
253#13133249—24no—
254#13133249—24no—
255#13133249—42no—
256#13133247—24no—
257#13133242—24no—
258#13133241—24no—
259#13133241—24no—
260#13133241—42no—
261#13133238—24no—
262#13133238—24no—
263C2×#11719925C2311yescharacteristic, complemented
264C2×#11719925C2311yescharacteristic, complemented
265C2×#11719925C2311yescharacteristic, complemented
266C2×#11719913—24no—
267C2×#11719913—24no—
268C2×#11719913C2311yescharacteristic
269C2×#11719913C2311yescharacteristic
270C2×#11719913C2311yescharacteristic
271C2×#11719913C2311yescharacteristic
272C2×#11719913C2311yescharacteristic
273C2×#11719913C2311yescharacteristic
274C2×#11719913C2311yescharacteristic, complemented
275C2×#11719913C2311yescharacteristic, complemented
276C2×#11719913C2311yescharacteristic, complemented
277C2×#11719923—24no—
278C2×#11719923C2311yescharacteristic
279C2×#11719923C2311yescharacteristic
280C2×#11719923C2311yescharacteristic
281C2×#11719923C2311yescharacteristic
282C2×#11719923C2311yescharacteristic
283C2×#11719923C2311yescharacteristic
284C2×#11719924—24no—
285C2×#11719924C2311yescharacteristic
286C2×#11719924C2311yescharacteristic
287C2×#11719924C2311yescharacteristic
288C2×#11719924C2311yescharacteristic
289C2×#11719924C2311yescharacteristic, complemented
290C2×#11719924C2311yescharacteristic, complemented
291SD16×D53—24no—
292SD16×D53—24no—
293SD16×D53—24no—
294SD16×D53—24no—
295SD16×D53—24no—
296SD16×D53—24no—
297SD16×D53—24no—
298SD16×D53—24no—
299SD16×D53D418yescomplemented
300C2×#11719922C2311yescharacteristic
301C2×#11719922C2311yescharacteristic
302C2×#11719922C2311yescharacteristic, complemented
303#13133223—24no—
304C2×#11719917C2311yescharacteristic, complemented
305C2×#11719912C2311yescharacteristic
306C2×#11719912C2311yescharacteristic
307C2×#11719912C2311yescharacteristic, complemented
308C22×#88322C2311yescharacteristic
309C2×C8×D53—24no—
310C2×C8×D53C2311yescharacteristic
311C2×C8×D53C2311yescharacteristic
312C2×C8×D53C2311yescharacteristic
313C2×C8×D53C2311yescharacteristic
314C2×C8×D53C2311yescharacteristic, complemented
315#13133217—21no—
316#13133217C2311yescharacteristic, complemented
317#13133216—21no—
318#13133216—21no—
319#13133216—21no—
320#13133215—21no—
321#13133215C2311yescharacteristic, complemented
322#13133214C2311yescharacteristic
323#13133213—21no—
324#13133213C2311yescharacteristic
325#13133206C2311yescharacteristic
326#13133204—21no—
327#13133204C2311yescharacteristic, complemented
328#13133203—21no—
329#13133203—21no—
330#13133203—21no—
331#13133203—21no—
332#13133202—21no—
333#13133202—21no—
334#13133202—21no—
335#13133202D411yescharacteristic
336#13133200—21no—
337#13133199—21no—
338#13133199—21no—
339#13133199—21no—
340#13133199—21no—
341#13133199—21no—
342#13133199D411yescharacteristic
343#13133197—21no—
344#13133197—21no—
345#13133197C2311yescharacteristic
346#13133197C2311yescharacteristic, complemented
347#13133196—21no—
348#13133196—21no—
349#13133196C2311yescharacteristic
350#13133196C2311yescharacteristic, complemented
351#13133195—21no—
352#13133195D411yescharacteristic
353#13133194—21no—
354#13133194—21no—
355#13133194—21no—
356#13133194—21no—
357#13133194—21no—
358#13133194—21no—
359#13133194—21no—
360#13133194D411yescharacteristic
361#13133193—21no—
362#13133193C2311yescharacteristic
363#13133193C2311yescharacteristic, complemented
364#13133192—21no—
365#13133192—21no—
366#13133192C2311yescharacteristic
367#13133192C2311yescharacteristic
368#13133191—21no—
369#13133191C2311yescharacteristic
370#13133191C2311yescharacteristic
371#13133190—21no—
372#13133190—21no—
373#13133190—21no—
374#13133190—21no—
375#13133190—21no—
376#13133190D411yescharacteristic
377#13133189—21no—
378#13133189—21no—
379#13133189—21no—
380#13133189D411yescharacteristic
381#13133188—21no—
382#13133188C2311yescharacteristic
383#13133188C2311yescharacteristic
384#13133187—21no—
385#13133187—21no—
386#13133187—21no—
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#13133187D411yescharacteristic
396#13133186—21no—
397#13133185—21no—
398#13133185—21no—
399#13133185—21no—
400#13133185—21no—
401#13133185—21no—
402#13133185D411yescharacteristic
403Q8×Dic53C2311yescharacteristic, complemented
404C4×Dic106—21no—
405C4×Dic106C2311yescharacteristic, complemented
406#13133182—21no—
407#13133182C2311yescharacteristic, complemented
408C4×D212—21no—
409C4×D212C2311yescharacteristic
410C4×D212C2311yescharacteristic
411D4×Dic53—21no—
412D4×Dic53—21no—
413D4×Dic53—21no—
414D4×Dic53C2311yescharacteristic
415#13133179—21no—
416#13133179C2311yescharacteristic
417C4×C22⋊D53—21no—
418C4×C22⋊D53—21no—
419C4×C22⋊D53—21no—
420C4×C22⋊D53C2311yescharacteristic
421C4×C22⋊D53C2311yescharacteristic
422#13133177—21no—
423#13133177—21no—
424#13133177—21no—
425#13133177—21no—
426#13133177—21no—
427#13133175—21no—
428#13133175C2311yescharacteristic
429#13133175C2311yescharacteristic
430#13133174—21no—
431#13133174C2311yescharacteristic
432C2×#11719921—21no—
433C2×#11719921—21no—
434C22⋊C4×D53—21no—
435C22⋊C4×D53—21no—
436C22⋊C4×D53—21no—
437#13133150C2311yescharacteristic, complemented
438#13133150C2311yescharacteristic, complemented
439#13133149C2311yescharacteristic, complemented
440C4⋊#88322C2311yescharacteristic, complemented
441#13133146C2311yescharacteristic, complemented
442#13133146C2311yescharacteristic, complemented
443#13133142C2311yescharacteristic, complemented
444#13133142C2311yescharacteristic, complemented
445#13133142C2311yescharacteristic, complemented
446#13133141C2311yescharacteristic, complemented
447#13133141C2311yescharacteristic, complemented
448#13133141C2311yescharacteristic, complemented
449#13133140C2311yescharacteristic, complemented
450#13133140C2311yescharacteristic, complemented
451#13133140C2311yescharacteristic, complemented
452#13133139C2311yescharacteristic
453#13133139C2311yescharacteristic
454#13133139C2311yescharacteristic, complemented
455#13133138C2311yescharacteristic
456#13133138C2311yescharacteristic
457#13133138C2311yescharacteristic, complemented
458#13133137C2311yescharacteristic
459#13133137C2311yescharacteristic
460#13133137C2311yescharacteristic, complemented
461C22⋊#88322C2311yescharacteristic
462C22⋊#88322C2311yescharacteristic, complemented
463#13133129C2311yescharacteristic
464#13133129C2311yescharacteristic
465#13133129C2311yescharacteristic, complemented
466#13133129C2311yescharacteristic, complemented
467#13133128C2311yescharacteristic, complemented
468#13133127C2311yescharacteristic, complemented
469C8×Dic53C2311yescharacteristic, complemented
470C2×#41×C53C2311yescharacteristic
471C2×#41×C53C2311yescharacteristic, complemented
472C22×Q8×C53C2311yescharacteristic
473C22×D4×C53C2311yescharacteristic
474#135×C53—24no—
475C2×Q16×C53C2311yescharacteristic, complemented
476C2×Q16×C53C2311yescharacteristic, complemented
477C2×SD16×C53—24no—
478C2×SD16×C53C2311yescharacteristic
479C2×SD16×C53C2311yescharacteristic
480C2×SD16×C53C2311yescharacteristic
481C2×SD16×C53C2311yescharacteristic
482C2×SD16×C53C2311yescharacteristic, complemented
483C2×D8×C53C2311yescharacteristic
484C2×D8×C53C2311yescharacteristic
485C22×C8×C53C2311yescharacteristic
486C22×C8×C53C2311yescharacteristic, complemented
487#124×C53—21no—
488#124×C53C2311yescharacteristic
489#124×C53C2311yescharacteristic, complemented
490#123×C53—21no—
491C22⋊Q8×C53—21no—
492C22⋊Q8×C53C2311yescharacteristic
493C22⋊Q8×C53C2311yescharacteristic, complemented
494#121×C53—21no—
495#121×C53—21no—
496#121×C53C2311yescharacteristic
497#121×C53C2311yescharacteristic
498#120×C53—21no—
499C4×Q8×C53C2311yescharacteristic, complemented
500C4×D4×C53—21no—
501C4×D4×C53C2311yescharacteristic
502C4×D4×C53C2311yescharacteristic
503C2×C22⋊C4×C53—21no—
504#106×C53C2311yescharacteristic, complemented
505C4⋊C8×C53C2311yescharacteristic, complemented
506#103×C53C2311yescharacteristic, complemented
507#103×C53C2311yescharacteristic, complemented
508#103×C53C2311yescharacteristic, complemented
509#102×C53C2311yescharacteristic
510#102×C53C2311yescharacteristic
511#102×C53C2311yescharacteristic, complemented
512C22⋊C8×C53C2311yescharacteristic
513C22⋊C8×C53C2311yescharacteristic, complemented
514C4×C8×C53C2311yescharacteristic, complemented
515C24×C53—21no—
516C23×D53—21no—
517C23×D53—21no—
518C23×D53—21no—
519C23×D53—21no—
520C23×D53—21no—
521C23×D53—21no—
522C23×D53—21no—
523C23×D53—44no—
524C23×D53—82no—
525C23×D53—82no—
526C23×D53C2×D411yescharacteristic
527#41×C53—22no—
528#41×C53—22no—
529#41×C53—41no—
530#41×C53—41no—
531C2×Q8×C53—21no—
532C2×Q8×C53—22no—
533C2×Q8×C53—41no—
534C2×Q8×C53C2411yescharacteristic
535C2×Q8×C53C2411yescharacteristic
536C2×Q8×C53C2411yescharacteristic
537C2×D4×C53—22no—
538C2×D4×C53—21no—
539C2×D4×C53—21no—
540C2×D4×C53—21no—
541C2×D4×C53—21no—
542C2×D4×C53—21no—
543C2×D4×C53—41no—
544C2×D4×C53C2×D411yescharacteristic
545C2×D4×C53C2411yescharacteristic
546C2×D4×C53C2411yescharacteristic
547C2×D4×C53C2411yescharacteristic
548C22×C4×C53—21no—
549C22×C4×C53—21no—
550C22×C4×C53—21no—
551C22×C4×C53—21no—
552C22×C4×C53C2411yescharacteristic
553C22×C4×C53C2411yescharacteristic
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⋊D53—21no—
563C2×C22⋊D53—21no—
564C2×C22⋊D53—21no—
565C2×C22⋊D53—21no—
566C2×C22⋊D53—21no—
567C2×C22⋊D53—44no—
568C2×C22⋊D53—82no—
569C2×C22⋊D53C2×D411yescharacteristic
570C2×C22⋊D53C2×D411yescharacteristic
571C2×C22⋊D53C2×D411yescharacteristic
572C2×C22⋊D53C2×D411yescharacteristic
573C22×Dic53—21no—
574C22×Dic53—21no—
575C22×Dic53—21no—
576C22×Dic53—21no—
577C22×Dic53—21no—
578C22×Dic53C2×D411yescharacteristic
579#11719949—22no—
580#11719949—22no—
581#11719949—22no—
582#11719949—41no—
583Q8×D53—22no—
584Q8×D53—22no—
585Q8×D53—22no—
586Q8×D53—22no—
587Q8×D53—22no—
588Q8×D53—22no—
589Q8×D53—41no—
590Q8×D53—41no—
591Q8×D53—41no—
592Q8×D53—44no—
593Q8×D53—44no—
594Q8×D53C2×D414yescomplemented
595#11719947—22no—
596#11719947—22no—
597#11719947—22no—
598#11719947—41no—
599#11719947—44no—
600#11719947—44no—
601D4×D53—22no—
602D4×D53—22no—
603D4×D53—22no—
604D4×D53—22no—
605D4×D53—22no—
606D4×D53—22no—
607D4×D53—41no—
608D4×D53—41no—
609D4×D53—41no—
610D4×D53—44no—
611D4×D53—44no—
612D4×D53—44no—
613D4×D53—44no—
614D4×D53—82no—
615D4×D53—82no—
616D4×D53C2×D414yes—
617#11719945—22no—
618#11719945—22no—
619#11719945—44no—
620#11719945—44no—
621C2×D212—22no—
622C2×D212—22no—
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—41no—
632C2×D212—41no—
633C2×D212—44no—
634C2×D212—82no—
635C2×D212C2×D411yescharacteristic
636C2×D212C2×D411yescharacteristic
637C2×D212C2411yescharacteristic
638C2×D212C2411yescharacteristic
639C2×D212C2411yescharacteristic
640C2×C4×D53—21no—
641C2×C4×D53—22no—
642C2×C4×D53—22no—
643C2×C4×D53—21no—
644C2×C4×D53—21no—
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—44no—
652C2×C4×D53C2×D411yescharacteristic
653C2×C4×D53C2×D411yescharacteristic
654C2×C4×D53C2411yescharacteristic
655C2×C4×D53C2411yescharacteristic
656C2×C4×D53C2411yescharacteristic
657C2×Dic106—21no—
658C2×Dic106—22no—
659C2×Dic106—22no—
660C2×Dic106—21no—
661C2×Dic106—21no—
662C2×Dic106—21no—
663C2×Dic106—21no—
664C2×Dic106—21no—
665C2×Dic106—21no—
666C2×Dic106—41no—
667C2×Dic106—41no—
668C2×Dic106—44no—
669C2×Dic106—44no—
670C2×Dic106C2×D411yescharacteristic
671C2×Dic106C2411yescharacteristic
672C2×Dic106C2411yescharacteristic
673C2×Dic106C2411yescharacteristic
674Q16×C53—22no—
675Q16×C53—41no—
676SD16×C53—22no—
677SD16×C53—22no—
678SD16×C53—22no—
679SD16×C53—22no—
680SD16×C53C2×D414yescomplemented
681D8×C53—22no—
682D8×C53—41no—
683C2×C8×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×C53C2×D411yescharacteristic
693C4⋊C4×C53C2411yescharacteristic
694C4⋊C4×C53C2411yescharacteristic
695C22⋊C4×C53—21no—
696C22⋊C4×C53—21no—
697C22⋊C4×C53—21no—
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×C53C2411yescharacteristic
708C22⋊Dic53—21no—
709C22⋊Dic53—21no—
710C22⋊Dic53—21no—
711C22⋊Dic53—21no—
712C22⋊Dic53—21no—
713C22⋊Dic53—21no—
714C22⋊Dic53—21no—
715C22⋊Dic53C2×D411yescharacteristic
716C22⋊Dic53C2×D411yescharacteristic
717#11719925—22no—
718#11719925—22no—
719#11719925—41no—
720#11719924—22no—
721#11719924—22no—
722#11719924—22no—
723#11719924—22no—
724#11719924—41no—
725#11719924C2×D414yescomplemented
726#11719923—22no—
727#11719923—22no—
728#11719923—22no—
729#11719923—22no—
730#11719923—41no—
731#11719923C2×D414yescomplemented
732#11719922—22no—
733#11719922—22no—
734#11719922—41no—
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#11719921C2×D411yescharacteristic
750#11719921C2×D411yescharacteristic
751#11719921C2×D411yescharacteristic
752#11719921C2×D411yescharacteristic
753#11719921C2×D411yescharacteristic
754#11719921C2×D411yescharacteristic
755C4⋊Dic53—21no—
756C4⋊Dic53—21no—
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×Dic53—21no—
778C4×Dic53—21no—
779C4×Dic53—21no—
780C4×Dic53C2411yescharacteristic
781#11719917—22no—
782C2×#88322—22no—
783C2×#88322C2411yescharacteristic
784C2×#88322C2411yescharacteristic
785C2×#88322C2411yescharacteristic
786C2×#88322C2411yescharacteristic
787#11719913—22no—
788#11719913—22no—
789#11719913—22no—
790#11719913—22no—
791#11719913—22no—
792#11719913—22no—
793#11719913—41no—
794#11719913—41no—
795#11719913C2×D414yescomplemented
796#11719912—22no—
797#11719912—22no—
798#11719912—22no—
799C8×D53—22no—
800C8×D53—22no—
801C8×D53—22no—
802C8×D53—22no—
803C8×D53C2×D414yescomplemented
804C23×C53—21no—
805C23×C53—21no—
806C23×C53—21no—
807C23×C53—42no—
808C23×C53—42no—
809C23×C53—81no—
810C23×C53C22×D411yescharacteristic
811C23×C53C22×D411yescharacteristic
812C22×D53—22no—
813C22×D53—22no—
814C22×D53—22no—
815C22×D53—21no—
816C22×D53—24no—
817C22×D53—21no—
818C22×D53—21no—
819C22×D53—42no—
820C22×D53—42no—
821C22×D53—42no—
822C22×D53—42no—
823C22×D53—42no—
824C22×D53—42no—
825C22×D53—42no—
826C22×D53—42no—
827C22×D53—42no—
828C22×D53—81no—
829C22×D53—81no—
830C22×D53—81no—
831C22×D53—81no—
832C22×D53—81no—
833C22×D53—81no—
834C22×D53—81no—
835C22×D53—81no—
836C22×D53—816no—
837C22×D53—81no—
838C22×D53—81no—
839C22×D53—81no—
840C22×D53C22×D411yescharacteristic
841C22×D53C22×D411yescharacteristic
842C22×D53C22×D411yescharacteristic
843Q8×C53—21no—
844Q8×C53—21no—
845Q8×C53—21no—
846Q8×C53—21no—
847Q8×C53—21no—
848Q8×C53—42no—
849Q8×C53C22×D412yes—
850D4×C53—22no—
851D4×C53—21no—
852D4×C53—21no—
853D4×C53—21no—
854D4×C53—21no—
855D4×C53—21no—
856D4×C53—42no—
857D4×C53—42no—
858D4×C53—42no—
859D4×C53—42no—
860D4×C53—81no—
861D4×C53C22×D412yes—
862C2×C4×C53—21no—
863C2×C4×C53—21no—
864C2×C4×C53—21no—
865C2×C4×C53—21no—
866C2×C4×C53—21no—
867C2×C4×C53—21no—
868C2×C4×C53—21no—
869C2×C4×C53—21no—
870C2×C4×C53—21no—
871C2×C4×C53—42no—
872C2×C4×C53—42no—
873C2×C4×C53—42no—
874C2×C4×C53—81no—
875C2×C4×C53C22×D411yescharacteristic
876C2×C4×C53C22×D411yescharacteristic
877C2×C4×C53C22×D411yescharacteristic
878C2×C4×C53C22×D411yescharacteristic
879C2×C4×C53C2511yescharacteristic
880C22⋊D53—22no—
881C22⋊D53—22no—
882C22⋊D53—22no—
883C22⋊D53—22no—
884C22⋊D53—24no—
885C22⋊D53—42no—
886C22⋊D53—42no—
887C22⋊D53—42no—
888C22⋊D53—42no—
889C22⋊D53—42no—
890C22⋊D53—42no—
891C22⋊D53—42no—
892C22⋊D53—42no—
893C22⋊D53—81no—
894C22⋊D53—81no—
895C22⋊D53—81no—
896C22⋊D53—81no—
897C2×Dic53—21no—
898C2×Dic53—22no—
899C2×Dic53—21no—
900C2×Dic53—21no—
901C2×Dic53—21no—
902C2×Dic53—21no—
903C2×Dic53—42no—
904C2×Dic53—42no—
905C2×Dic53—42no—
906C2×Dic53—42no—
907C2×Dic53—81no—
908C2×Dic53C22×D411yescharacteristic
909C2×Dic53C22×D411yescharacteristic
910C2×Dic53C22×D411yescharacteristic
911C2×Dic53C22×D411yescharacteristic
912C2×Dic53C22×D411yescharacteristic
913D212—22no—
914D212—22no—
915D212—21no—
916D212—21no—
917D212—21no—
918D212—21no—
919D212—21no—
920D212—42no—
921D212—42no—
922D212—42no—
923D212—42no—
924D212—42no—
925D212—81no—
926D212—81no—
927D212—81no—
928D212C22×D412yes—
929C4×D53—22no—
930C4×D53—24no—
931C4×D53—21no—
932C4×D53—21no—
933C4×D53—21no—
934C4×D53—21no—
935C4×D53—22no—
936C4×D53—42no—
937C4×D53—42no—
938C4×D53—42no—
939C4×D53—42no—
940C4×D53—42no—
941C4×D53—42no—
942C4×D53—81no—
943C4×D53—81no—
944C4×D53C22×D412yes—
945C4×D53H(5,𝔽2)12yes—
946Dic106—21no—
947Dic106—24no—
948Dic106—22no—
949Dic106—21no—
950Dic106—21no—
951Dic106—21no—
952Dic106—21no—
953Dic106—42no—
954Dic106—42no—
955Dic106—42no—
956Dic106—42no—
957Dic106—42no—
958Dic106—42no—
959Dic106C22×D412yes—
960C8×C53—21no—
961C8×C53—21no—
962C8×C53—21no—
963C8×C53C22×D412yes—
964#88322—21no—
965#88322—21no—
966#88322—21no—
967#88322C22×D412yes—
968#61050—531nomaximal, Sylow
969C22×C53—21no—
970C22×C53—21no—
971C22×C53—21no—
972C22×C53—22no—
973C22×C53—21no—
974C22×C53—21no—
975C22×C53—41no—
976C22×C53—41no—
977C22×C53—41no—
978C22×C53—41no—
979C22×C53—41no—
980C22×C53—41no—
981C22×C53—41no—
982C22×C53—41no—
983C22×C53—84no—
984C22×C53#57712yescomplemented
985C22×C53C23×D411yescharacteristic
986C2×D53—28no—
987C2×D53—21no—
988C2×D53—21no—
989C2×D53—21no—
990C2×D53—21no—
991C2×D53—21no—
992C2×D53—22no—
993C2×D53—21no—
994C2×D53—21no—
995C2×D53—41no—
996C2×D53—41no—
997C2×D53—41no—
998C2×D53—41no—
999C2×D53—41no—
1000C2×D53—41no—
1001C2×D53—41no—
1002C2×D53—41no—
1003C2×D53—84no—
1004C2×D53—84no—
1005C2×D53—84no—
1006C2×D53—84no—
1007C2×D53—84no—
1008C2×D53—162no—
1009C2×D53—162no—
1010C2×D53D4212yes—
1011C2×D53#57712yescomplemented
1012C4×C53—22no—
1013C4×C53—21no—
1014C4×C53—21no—
1015C4×C53—21no—
1016C4×C53—21no—
1017C4×C53—41no—
1018C4×C53—41no—
1019C4×C53—41no—
1020C4×C53—41no—
1021C4×C53C23×D411yescharacteristic
1022C4×C53C2×H(5,𝔽2)11yescharacteristic
1023Dic53—22no—
1024Dic53—21no—
1025Dic53—21no—
1026Dic53—21no—
1027Dic53—21no—
1028Dic53—41no—
1029Dic53—41no—
1030Dic53—41no—
1031Dic53—41no—
1032Dic53D4212yes—
1033C2×#577—531no—
1034C23×SD16—531no—
1035#3486—531no—
1036#3484—531no—
1037#3282—531no—
1038#3282—531no—
1039#3282—531no—
1040#3282D5311yescharacteristic, complemented
1041D4×SD16—531no—
1042D4×SD16—531no—
1043D4×SD16—531no—
1044D4×SD16—531no—
1045#3266—531no—
1046#3266—531no—
1047#3266—531no—
1048#3266—531no—
1049#3265—531no—
1050#3265—531no—
1051#3265—531no—
1052#3265—531no—
1053#3154—531no—
1054#3057—531no—
1055#3050—531no—
1056#3043—531no—
1057#3042—531no—
1058#3010—531no—
1059#3009—531no—
1060#3004—531no—
1061#3003—531no—
1062#2949—531no—
1063#2929—531no—
1064C2×C53—22no—
1065C2×C53—42no—
1066C2×C53—41no—
1067C2×C53—81no—
1068C2×C53—81no—
1069C2×C53C2×D4211yescharacteristic
1070C2×C53C2×#57711yescharacteristic
1071C2×C53C2×#57711yescharacteristic
1072D53—22no—
1073D53—22no—
1074D53—41no—
1075D53—42no—
1076D53—81no—
1077D53—81no—
1078C2×2−1+4—531no—
1079C2×H(5,𝔽2)—531no—
1080C23×Q8—531no—
1081C23×D4—531no—
1082#577—1068no—
1083C2×#137—531no—
1084C2×#137—531no—
1085C2×#137—531no—
1086C2×#137—531no—
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×#135—531no—
1092C2×#135—531no—
1093C2×#135C2×D5311yescharacteristic, complemented
1094C22×SD16—531no—
1095C22×SD16—531no—
1096C22×SD16—531no—
1097C22×SD16—531no—
1098C22×SD16—531no—
1099C22×SD16—531no—
1100C22×SD16—531no—
1101C22×SD16—531no—
1102C22×SD16—531no—
1103C22×SD16—531no—
1104C22×SD16—531no—
1105C22×SD16—531no—
1106C22×SD16—531no—
1107C22×SD16—1068no—
1108C22×SD16C2×D5311yescharacteristic, complemented
1109C2×#131—531no—
1110C23×C8—531no—
1111D4×Q8—531no—
1112D4×Q8—531no—
1113D4×Q8—531no—
1114D4×Q8—531no—
1115D4×Q8—1061no—
1116D4×Q8—1061no—
1117#548—531no—
1118#548—531no—
1119#548—531no—
1120#548—1061no—
1121#548—1061no—
1122#548C2×D5311yescharacteristic, complemented
1123#546—531no—
1124#546—531no—
1125#546—531no—
1126#546—1061no—
1127#546—1061no—
1128#546C2×D5311yescharacteristic
1129D42—531no—
1130D42—531no—
1131D42—531no—
1132D42—531no—
1133D42—1061no—
1134D42—1061no—
1135#536—531no—
1136#536—531no—
1137#536—1061no—
1138#536—1061no—
1139#535—531no—
1140#535—531no—
1141#534—1061no—
1142#534—1061no—
1143#525—531no—
1144#525—531no—
1145#525—531no—
1146#525—1061no—
1147#525—1061no—
1148C2×#120—1061no—
1149C2×#120—1061no—
1150#519—531no—
1151#518—531no—
1152#497—531no—
1153#497—531no—
1154#496—531no—
1155#496—531no—
1156#495—531no—
1157#495C2×D5311yescharacteristic, complemented
1158#492—531no—
1159#492—531no—
1160#468—531no—
1161#468—531no—
1162#468—531no—
1163#468—531no—
1164#467—531no—
1165#467—531no—
1166#466—531no—
1167#466—531no—
1168#465—531no—
1169#465—531no—
1170#465—531no—
1171#465—531no—
1172#465—531no—
1173#465—531no—
1174#465C2×D5311yescharacteristic, complemented
1175#465C2×D5311yescharacteristic, complemented
1176#464—531no—
1177#464—531no—
1178#464—531no—
1179#464C2×D5311yescharacteristic, complemented
1180#463—531no—
1181#463—531no—
1182#463—531no—
1183#463C2×D5311yescharacteristic, complemented
1184#461—531no—
1185#461—531no—
1186#461—531no—
1187#461—531no—
1188#460—531no—
1189#460—531no—
1190#460—531no—
1191#460—531no—
1192#452—531no—
1193#452—531no—
1194#452—531no—
1195#452C2×D5311yescharacteristic, complemented
1196#451—531no—
1197#451—531no—
1198#451—531no—
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#450—531no—
1208#449—531no—
1209#449—531no—
1210#449—531no—
1211#449C2×D5311yescharacteristic, complemented
1212#448—531no—
1213#448—531no—
1214#448—531no—
1215#448—531no—
1216#448—531no—
1217#448—531no—
1218#448—531no—
1219#448—531no—
1220#447—531no—
1221#447—531no—
1222#447—531no—
1223#447C2×D5311yescharacteristic, complemented
1224#440—531no—
1225#440—531no—
1226#440—531no—
1227#440—531no—
1228C4×SD16—531no—
1229C4×SD16—531no—
1230C4×SD16—531no—
1231C4×SD16C2×D5311yescharacteristic, complemented
1232#435—531no—
1233#435—531no—
1234#435—531no—
1235#435—531no—
1236C8×D4—531no—
1237C8×D4—531no—
1238C8×D4—531no—
1239C8×D4C2×D5311yescharacteristic, complemented
1240#427—531no—
1241#424—531no—
1242#419—531no—
1243#419—531no—
1244#418—531no—
1245#418—531no—
1246#416—531no—
1247#416—531no—
1248#408—531no—
1249#407—531no—
1250#405—531no—
1251C53#6105011yescharacteristic, complemented, Sylow
1252C25—1061no—
12532−1+4—1064no—
12542−1+4—2122no—
1255H(5,𝔽2)—1064no—
1256H(5,𝔽2)—2122no—
1257C2×#41—531no—
1258C2×#41—531no—
1259C2×#41—531no—
1260C2×#41—531no—
1261C2×#41—531no—
1262C2×#41—1061no—
1263C2×#41—1061no—
1264C2×#41—1061no—
1265C2×#41—1061no—
1266C2×#41C22×D5311yescharacteristic
1267C2×#41C22×D5311yescharacteristic, complemented
1268C22×Q8—531no—
1269C22×Q8—531no—
1270C22×Q8—531no—
1271C22×Q8—531no—
1272C22×Q8—531no—
1273C22×Q8—531no—
1274C22×Q8—531no—
1275C22×Q8—1061no—
1276C22×Q8—1061no—
1277C22×Q8—1061no—
1278C22×Q8—1061no—
1279C22×Q8—1064no—
1280C22×Q8—2122no—
1281C22×Q8C22×D5311yescharacteristic
1282C22×D4—531no—
1283C22×D4—531no—
1284C22×D4—531no—
1285C22×D4—531no—
1286C22×D4—531no—
1287C22×D4—531no—
1288C22×D4—531no—
1289C22×D4—1061no—
1290C22×D4—1061no—
1291C22×D4—1061no—
1292C22×D4—1061no—
1293C22×D4—1061no—
1294C22×D4—1064no—
1295C22×D4—1061no—
1296C22×D4—1061no—
1297C22×D4—1061no—
1298C22×D4—1061no—
1299C22×D4—1061no—
1300C22×D4—2122no—
1301C22×D4C22×D5311yescharacteristic
1302C23×C4—531no—
1303C23×C4—1061no—
1304#137—1064no—
1305#137—1064no—
1306#137—1064no—
1307#137—2122no—
1308AGL(1,ℤ/8)—1064no—
1309AGL(1,ℤ/8)—1064no—
1310AGL(1,ℤ/8)—1064no—
1311AGL(1,ℤ/8)—2122no—
1312#135—24no—
1313#135—1064no—
1314#135—1064no—
1315C2×Q16—531no—
1316C2×Q16—531no—
1317C2×Q16—531no—
1318C2×Q16C22×D5311yescharacteristic, complemented
1319C2×Q16C22×D5311yescharacteristic, complemented
1320C2×SD16—24no—
1321C2×SD16—531no—
1322C2×SD16—531no—
1323C2×SD16—538no—
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—531no—
1337C2×SD16—531no—
1338C2×SD16—531no—
1339C2×SD16—531no—
1340C2×SD16—531no—
1341C2×SD16—531no—
1342C2×SD16—531no—
1343C2×SD16—1064no—
1344C2×SD16—1064no—
1345C2×SD16—1064no—
1346C2×SD16—1064no—
1347C2×SD16—1064no—
1348C2×SD16—1064no—
1349C2×SD16—1064no—
1350C2×SD16—1064no—
1351C2×SD16—1064no—
1352C2×SD16—1064no—
1353C2×SD16—1064no—
1354C2×SD16—1064no—
1355C2×SD16C22×D5311yescharacteristic
1356C2×SD16C22×D5311yescharacteristic
1357C2×SD16C22×D5311yescharacteristic
1358C2×SD16C22×D5311yescharacteristic
1359C2×SD16C22×D5311yescharacteristic, complemented
1360C2×D8—531no—
1361C2×D8—531no—
1362C2×D8—531no—
1363C2×D8C22×D5311yescharacteristic
1364C2×D8C22×D5311yescharacteristic
1365#131—1064no—
1366C2×M16—531no—
1367C2×M16—531no—
1368C2×M16—531no—
1369C2×M16—531no—
1370C22×C8—531no—
1371C22×C8—531no—
1372C22×C8—531no—
1373C22×C8—531no—
1374C22×C8—531no—
1375C22×C8—531no—
1376C22×C8—1064no—
1377C22×C8C22×D5311yescharacteristic
1378C22×C8C22×D5311yescharacteristic, complemented
1379C4⋊Q8—531no—
1380C4⋊Q8—531no—
1381C4⋊Q8—1061no—
1382C4⋊Q8—1061no—
1383C4⋊Q8—1061no—
1384C4⋊Q8—1061no—
1385C4⋊Q8—1061no—
1386#127—531no—
1387#127—531no—
1388#127—1061no—
1389#124—21no—
1390#124—531no—
1391#124—531no—
1392#124—1061no—
1393#124—1061no—
1394#124—1061no—
1395#124—1061no—
1396#124—1061no—
1397#124C22×D5311yescharacteristic
1398#124C22×D5311yescharacteristic, complemented
1399#123—21no—
1400#123—531no—
1401#123—531no—
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—
1411C22⋊Q8—21no—
1412C22⋊Q8—531no—
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⋊Q8—1061no—
1425C22⋊Q8—1061no—
1426C22⋊Q8—1061no—
1427C22⋊Q8—1061no—
1428C22⋊Q8—1061no—
1429C22⋊Q8—1061no—
1430C22⋊Q8—1061no—
1431C22⋊Q8—1061no—
1432C22⋊Q8—1061no—
1433C22⋊Q8C22×D5311yescharacteristic
1434C22⋊Q8C22×D5311yescharacteristic, complemented
1435#121—21no—
1436#121—21no—
1437#121—531no—
1438#121—531no—
1439#121—531no—
1440#121—531no—
1441#121—531no—
1442#121—531no—
1443#121—531no—
1444#121—531no—
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#121C22×D5311yescharacteristic
1458#121C22×D5311yescharacteristic
1459#120—21no—
1460#120—531no—
1461#120—531no—
1462#120—1061no—
1463#120—1061no—
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—
1477#120—1061no—
1478#120—1061no—
1479C4×Q8—531no—
1480C4×Q8—531no—
1481C4×Q8—531no—
1482C4×Q8—1061no—
1483C4×Q8—1061no—
1484C4×Q8C22×D5311yescharacteristic, complemented
1485C4×D4—21no—
1486C4×D4—531no—
1487C4×D4—531no—
1488C4×D4—531no—
1489C4×D4—531no—
1490C4×D4—531no—
1491C4×D4—531no—
1492C4×D4—1061no—
1493C4×D4—1061no—
1494C4×D4—1061no—
1495C4×D4—1061no—
1496C4×D4—1061no—
1497C4×D4—1061no—
1498C4×D4—1061no—
1499C4×D4—1061no—
1500C4×D4—1061no—
1501C4×D4—1061no—
1502C4×D4—1061no—
1503C4×D4—1061no—
1504C4×D4—1061no—
1505C4×D4C22×D5311yescharacteristic
1506C4×D4C22×D5311yescharacteristic
1507#117—531no—
1508#117—531no—
1509#117—531no—
1510#117—1061no—
1511#117—1061no—
1512C2×C22⋊C4—21no—
1513C2×C22⋊C4—1061no—
1514C2×C22⋊C4—1061no—
1515C2×C22⋊C4—1061no—
1516C2×C22⋊C4—1061no—
1517C2×C22⋊C4—1061no—
1518#107—531no—
1519#107—531no—
1520#106—531no—
1521#106C22×D5311yescharacteristic, complemented
1522C4⋊C8—531no—
1523C4⋊C8—531no—
1524C4⋊C8—531no—
1525C4⋊C8C22×D5311yescharacteristic, complemented
1526#103—531no—
1527#103—531no—
1528#103—531no—
1529#103—531no—
1530#103—531no—
1531#103—531no—
1532#103—531no—
1533#103—531no—
1534#103—531no—
1535#103C22×D5311yescharacteristic, complemented
1536#103C22×D5311yescharacteristic, complemented
1537#103C22×D5311yescharacteristic, complemented
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
1549#102C22×D5311yescharacteristic, complemented
1550C22⋊C8—531no—
1551C22⋊C8—531no—
1552C22⋊C8—531no—
1553C22⋊C8—531no—
1554C22⋊C8—531no—
1555C22⋊C8—531no—
1556C22⋊C8C22×D5311yescharacteristic
1557C22⋊C8C22×D5311yescharacteristic, complemented
1558#97—531no—
1559#97—531no—
1560C4×C8—531no—
1561C4×C8C22×D5311yescharacteristic, complemented
1562C24—21no—
1563C24—531no—
1564C24—1061no—
1565C24—1061no—
1566C24—1061no—
1567C24—1061no—
1568C24—1061no—
1569C24—1061no—
1570C24—1061no—
1571C24—4242no—
1572C24—4242no—
1573C24—2124no—
1574#41—22no—
1575#41—22no—
1576#41—41no—
1577#41—41no—
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—2124no—
1587#41—2124no—
1588#41—2121no—
1589#41—2124no—
1590#41—2121no—
1591#41—2124no—
1592C2×Q8—21no—
1593C2×Q8—22no—
1594C2×Q8—41no—
1595C2×Q8—531no—
1596C2×Q8—534no—
1597C2×Q8—531no—
1598C2×Q8—531no—
1599C2×Q8—531no—
1600C2×Q8—1061no—
1601C2×Q8—1061no—
1602C2×Q8—1061no—
1603C2×Q8—1061no—
1604C2×Q8—1061no—
1605C2×Q8—1062no—
1606C2×Q8—1062no—
1607C2×Q8—1062no—
1608C2×Q8—1062no—
1609C2×Q8—1062no—
1610C2×Q8—1061no—
1611C2×Q8—1061no—
1612C2×Q8—1062no—
1613C2×Q8—1062no—
1614C2×Q8—1062no—
1615C2×Q8—2121no—
1616C2×Q8—2121no—
1617C2×Q8—2124no—
1618C2×Q8—2124no—
1619C2×Q8—2124no—
1620C2×Q8—2121no—
1621C2×Q8—2121no—
1622C2×Q8—2121no—
1623C2×Q8—2124no—
1624C2×Q8C23×D5311yescharacteristic
1625C2×Q8C23×D5311yescharacteristic
1626C2×Q8C23×D5311yescharacteristic
1627C2×D4—22no—
1628C2×D4—21no—
1629C2×D4—21no—
1630C2×D4—21no—
1631C2×D4—21no—
1632C2×D4—21no—
1633C2×D4—41no—
1634C2×D4—534no—
1635C2×D4—531no—
1636C2×D4—531no—
1637C2×D4—531no—
1638C2×D4—531no—
1639C2×D4—531no—
1640C2×D4—531no—
1641C2×D4—531no—
1642C2×D4—531no—
1643C2×D4—531no—
1644C2×D4—1062no—
1645C2×D4—1062no—
1646C2×D4—1061no—
1647C2×D4—1061no—
1648C2×D4—1061no—
1649C2×D4—1061no—
1650C2×D4—1062no—
1651C2×D4—1062no—
1652C2×D4—1062no—
1653C2×D4—1061no—
1654C2×D4—1061no—
1655C2×D4—1061no—
1656C2×D4—1061no—
1657C2×D4—1061no—
1658C2×D4—1061no—
1659C2×D4—1061no—
1660C2×D4—1062no—
1661C2×D4—1062no—
1662C2×D4—1062no—
1663C2×D4—1061no—
1664C2×D4—1061no—
1665C2×D4—1061no—
1666C2×D4—1061no—
1667C2×D4—1061no—
1668C2×D4—1061no—
1669C2×D4—1061no—
1670C2×D4—1061no—
1671C2×D4—1061no—
1672C2×D4—1061no—
1673C2×D4—4242no—
1674C2×D4—4242no—
1675C2×D4—4242no—
1676C2×D4—4242no—
1677C2×D4—2121no—
1678C2×D4—2121no—
1679C2×D4—2124no—
1680C2×D4—2121no—
1681C2×D4—2121no—
1682C2×D4—2121no—
1683C2×D4—2124no—
1684C2×D4—2124no—
1685C2×D4—2124no—
1686C2×D4—2124no—
1687C2×D4—2124no—
1688C2×D4D4×D5311yescharacteristic
1689C2×D4C23×D5311yescharacteristic
1690C2×D4C23×D5311yescharacteristic
1691C2×D4C23×D5311yescharacteristic
1692C22×C4—21no—
1693C22×C4—21no—
1694C22×C4—21no—
1695C22×C4—21no—
1696C22×C4—531no—
1697C22×C4—531no—
1698C22×C4—531no—
1699C22×C4—531no—
1700C22×C4—531no—
1701C22×C4—531no—
1702C22×C4—1062no—
1703C22×C4—1062no—
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—1061no—
1717C22×C4—1061no—
1718C22×C4—2124no—
1719C22×C4C23×D5311yescharacteristic
1720C22×C4C23×D5311yescharacteristic
1721Q16—22no—
1722Q16—41no—
1723Q16—1062no—
1724Q16—1062no—
1725Q16—2121no—
1726SD16—22no—
1727SD16—22no—
1728SD16—22no—
1729SD16—22no—
1730SD16—534no—
1731SD16—534no—
1732SD16—534no—
1733SD16—1062no—
1734SD16—1062no—
1735SD16—1062no—
1736SD16—1062no—
1737SD16—1062no—
1738SD16—1062no—
1739SD16—1062no—
1740SD16—1062no—
1741SD16—1062no—
1742SD16—1062no—
1743SD16—1062no—
1744SD16—1062no—
1745SD16—1062no—
1746SD16—1062no—
1747SD16—2121no—
1748SD16—2121no—
1749SD16—2121no—
1750SD16—2121no—
1751SD16D4×D5314yescomplemented
1752D8—22no—
1753D8—41no—
1754D8—1062no—
1755D8—1062no—
1756D8—2121no—
1757M16—1062no—
1758M16—1062no—
1759M16—1062no—
1760M16—1062no—
1761C2×C8—22no—
1762C2×C8—22no—
1763C2×C8—531no—
1764C2×C8—534no—
1765C2×C8—531no—
1766C2×C8—531no—
1767C2×C8—531no—
1768C2×C8—1062no—
1769C2×C8—1062no—
1770C2×C8—1062no—
1771C2×C8—1062no—
1772C2×C8—1062no—
1773C2×C8C23×D5311yescharacteristic
1774C2×C8C23×D5311yescharacteristic
1775C2×C8C23×D5311yescharacteristic
1776C2×C8C23×D5311yescharacteristic
1777C4⋊C4—21no—
1778C4⋊C4—21no—
1779C4⋊C4—21no—
1780C4⋊C4—531no—
1781C4⋊C4—531no—
1782C4⋊C4—531no—
1783C4⋊C4—531no—
1784C4⋊C4—531no—
1785C4⋊C4—531no—
1786C4⋊C4—531no—
1787C4⋊C4—1061no—
1788C4⋊C4—1061no—
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⋊C4—1061no—
1799C4⋊C4—1061no—
1800C4⋊C4D4×D5311yescharacteristic
1801C4⋊C4C23×D5311yescharacteristic
1802C4⋊C4C23×D5311yescharacteristic
1803C22⋊C4—21no—
1804C22⋊C4—21no—
1805C22⋊C4—21no—
1806C22⋊C4—21no—
1807C22⋊C4—21no—
1808C22⋊C4—21no—
1809C22⋊C4—21no—
1810C22⋊C4—21no—
1811C22⋊C4—21no—
1812C22⋊C4—531no—
1813C22⋊C4—531no—
1814C22⋊C4—531no—
1815C22⋊C4—531no—
1816C22⋊C4—531no—
1817C22⋊C4—531no—
1818C22⋊C4—531no—
1819C22⋊C4—531no—
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⋊C4—1061no—
1841C22⋊C4D4×D5311yescharacteristic
1842C22⋊C4D4×D5311yescharacteristic
1843C42—21no—
1844C42—531no—
1845C42—1061no—
1846C42—1061no—
1847C42—1061no—
1848C42—1061no—
1849C42—1061no—
1850C42C23×D5311yescharacteristic
1851C23—21no—
1852C23—21no—
1853C23—21no—
1854C23—42no—
1855C23—42no—
1856C23—81no—
1857C23—531no—
1858C23—531no—
1859C23—531no—
1860C23—1062no—
1861C23—1062no—
1862C23—1064no—
1863C23—1062no—
1864C23—1061no—
1865C23—1061no—
1866C23—1061no—
1867C23—4241no—
1868C23—4241no—
1869C23—4241no—
1870C23—4241no—
1871C23—4241no—
1872C23—4241no—
1873C23—4241no—
1874C23—4241no—
1875C23—4241no—
1876C23—4241no—
1877C23—4241no—
1878C23—42416no—
1879C23—2122no—
1880C23—2122no—
1881C23—2122no—
1882C23—2122no—
1883C23—2122no—
1884C23—2122no—
1885C23—2122no—
1886C23—2122no—
1887C23—2122no—
1888C23C2×D4×D5311yescharacteristic
1889C23C2×D4×D5311yescharacteristic
1890Q8—21no—
1891Q8—21no—
1892Q8—21no—
1893Q8—21no—
1894Q8—21no—
1895Q8—42no—
1896Q8—532no—
1897Q8—1064no—
1898Q8—1062no—
1899Q8—1061no—
1900Q8—1061no—
1901Q8—1061no—
1902Q8—1061no—
1903Q8—1061no—
1904Q8—2122no—
1905Q8—2122no—
1906Q8—2122no—
1907Q8—2122no—
1908Q8—2122no—
1909Q8—2122no—
1910Q8C2×D4×D5312yes—
1911D4—22no—
1912D4—21no—
1913D4—21no—
1914D4—21no—
1915D4—21no—
1916D4—21no—
1917D4—42no—
1918D4—42no—
1919D4—42no—
1920D4—42no—
1921D4—81no—
1922D4—532no—
1923D4—1062no—
1924D4—1062no—
1925D4—1064no—
1926D4—1062no—
1927D4—1062no—
1928D4—1062no—
1929D4—1062no—
1930D4—1061no—
1931D4—1061no—
1932D4—1061no—
1933D4—1061no—
1934D4—1061no—
1935D4—4241no—
1936D4—4241no—
1937D4—4241no—
1938D4—4241no—
1939D4—4241no—
1940D4—4241no—
1941D4—4241no—
1942D4—2122no—
1943D4—2122no—
1944D4—2122no—
1945D4—2122no—
1946D4—2122no—
1947D4—2122no—
1948D4—2122no—
1949D4—2122no—
1950D4—2122no—
1951D4—2122no—
1952D4—2122no—
1953D4—2122no—
1954D4—2122no—
1955D4C2×D4×D5312yes—
1956C2×C4—21no—
1957C2×C4—21no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—42no—
1966C2×C4—42no—
1967C2×C4—42no—
1968C2×C4—81no—
1969C2×C4—531no—
1970C2×C4—532no—
1971C2×C4—532no—
1972C2×C4—531no—
1973C2×C4—531no—
1974C2×C4—531no—
1975C2×C4—531no—
1976C2×C4—1062no—
1977C2×C4—1062no—
1978C2×C4—1064no—
1979C2×C4—1062no—
1980C2×C4—1061no—
1981C2×C4—1061no—
1982C2×C4—1061no—
1983C2×C4—1061no—
1984C2×C4—1061no—
1985C2×C4—1061no—
1986C2×C4—1061no—
1987C2×C4—1061no—
1988C2×C4—1061no—
1989C2×C4—4241no—
1990C2×C4—4241no—
1991C2×C4—4241no—
1992C2×C4—2122no—
1993C2×C4—2122no—
1994C2×C4—2122no—
1995C2×C4—2122no—
1996C2×C4—2122no—
1997C2×C4—2122no—
1998C2×C4—2122no—
1999C2×C4—2122no—
2000C2×C4—2122no—
2001C2×C4—2122no—
2002C2×C4C2×D4×D5311yescharacteristic
2003C2×C4C2×D4×D5311yescharacteristic
2004C2×C4C2×D4×D5311yescharacteristic
2005C2×C4C2×D4×D5311yescharacteristic
2006C2×C4C24×D5311yescharacteristic
2007C8—21no—
2008C8—21no—
2009C8—21no—
2010C8—532no—
2011C8—1061no—
2012C8—1061no—
2013C8—1061no—
2014C8C2×D4×D5312yes—
2015C22—21no—
2016C22—21no—
2017C22—21no—
2018C22—22no—
2019C22—21no—
2020C22—21no—
2021C22—41no—
2022C22—41no—
2023C22—41no—
2024C22—41no—
2025C22—41no—
2026C22—41no—
2027C22—41no—
2028C22—41no—
2029C22—84no—
2030C22—532no—
2031C22—532no—
2032C22—8482no—
2033C22—8482no—
2034C22—1068no—
2035C22—1061no—
2036C22—1061no—
2037C22—1061no—
2038C22—1061no—
2039C22—1061no—
2040C22—1062no—
2041C22—1061no—
2042C22—1061no—
2043C22—4244no—
2044C22—4244no—
2045C22—4244no—
2046C22—4244no—
2047C22—4244no—
2048C22—2121no—
2049C22—2121no—
2050C22—2121no—
2051C22—2121no—
2052C22—2121no—
2053C22—2121no—
2054C22—2121no—
2055C22—2121no—
2056C22#1681143012yescomplemented
2057C22C22×D4×D5311yescharacteristic
2058C4—21no—
2059C4—21no—
2060C4—22no—
2061C4—21no—
2062C4—21no—
2063C4—41no—
2064C4—41no—
2065C4—41no—
2066C4—41no—
2067C4—532no—
2068C4—1061no—
2069C4—1061no—
2070C4—1062no—
2071C4—1061no—
2072C4—1061no—
2073C4—2121no—
2074C4—2121no—
2075C4—2121no—
2076C4—2121no—
2077C4C22×D4×D5311yescharacteristic
2078C4H(5,𝔽2)×D5311yescharacteristic
2079C2—22no—
2080C2—41no—
2081C2—42no—
2082C2—81no—
2083C2—81no—
2084C2—1062no—
2085C2—1062no—
2086C2—4241no—
2087C2—4241no—
2088C2—2121no—
2089C2—2122no—
2090C2D42×D5311yescharacteristic
2091C2#577×D5311yescharacteristic
2092C2C2×#1681143011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3282C2
socleC22×C53C23×D4
hypercenter#3282D53
hypocenterC53#61050
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. C2×#16811430C2semidirect
2. C22×SD16×D53C2semidirect
3. #20288361C2semidirect
4. #20288345C2semidirect
5. #20286421C2semidirect
6. #20286419C2semidirect
7. #20286416C2semidirect
8. D4×#11719913C2semidirect
9. SD16×D212C2semidirect
10. #20286408C2semidirect
11. SD16×C22⋊D53C2semidirect
12. #20286223C2semidirect
13. #20286221C2semidirect
14. #20286220C2semidirect
15. #20286218C2semidirect
16. #20286216C2semidirect
17. #20286214C2semidirect
18. #20286213C2semidirect
19. #20286211C2semidirect
20. #20285186C2semidirect
21. #20284349C2semidirect
22. #20284291C2semidirect
23. #20284234C2semidirect
24. #20284225C2semidirect
25. #20283998C2semidirect
26. #20283989C2semidirect
27. #20283950C2semidirect
28. #20283939C2semidirect
29. #20283569C2semidirect
30. #20283404C2semidirect
31. C53×#3282C2semidirect
32. C2×#13133264C22semidirect
34. C22×Q8×D53C22semidirect
37. C2×#13133249C22semidirect
38. C2×#13133249C22semidirect
39. C2×#13133249C22semidirect
40. C2×#13133247C22semidirect
41. C2×#13133242C22semidirect
43. C2×#13133241C22semidirect
44. C2×#13133241C22semidirect
45. C2×#13133238C22semidirect
46. C2×#13133238C22semidirect
47. C22×#11719913C22semidirect
48. C22×#11719913C22semidirect
49. C22×#11719923C22semidirect
50. C22×#11719924C22semidirect
54. C2×SD16×D53C22semidirect
55. C2×SD16×D53C22semidirect
56. C2×SD16×D53C22semidirect
57. C2×SD16×D53C22semidirect
58. C2×SD16×D53C22semidirect
59. C2×SD16×D53C22semidirect
60. C2×SD16×D53C22semidirect
61. C2×#13133223C22semidirect
62. C22×C8×D53C22semidirect
63. Q8×D212C22semidirect
65. D4×Dic106C22semidirect
66. Q8×C22⋊D53C22semidirect
68. #16811286C22semidirect
70. #16811281C22semidirect
71. #16811280C22semidirect
73. #16811279C22semidirect
86. #16811196C22semidirect
88. #16811193C22semidirect
95. #16811133C22semidirect
100. #16811099C22semidirect
102. #16811018C22semidirect
103. #16811016C22semidirect
104. #16811013C22semidirect
105. #16811011C22semidirect
106. #16811004C22semidirect
107. #16810996C22semidirect
108. #16810994C22semidirect
109. #16810872C22semidirect
110. #16810871C22semidirect
111. #16810868C22semidirect
112. #16810867C22semidirect
113. #16810863C22semidirect
114. #16810862C22semidirect
115. #16810858C22semidirect
116. #16810857C22semidirect
117. #16810853C22semidirect
118. #16810853C22semidirect
119. #16810852C22semidirect
120. #16810852C22semidirect
121. #16810849C22semidirect
122. #16810849C22semidirect
123. #16810848C22semidirect
124. #16810847C22semidirect
125. #16810842C22semidirect
126. #16810837C22semidirect
127. #16810836C22semidirect
128. #16810835C22semidirect
129. #16810829C22semidirect
130. #16810828C22semidirect
131. #16810827C22semidirect
132. #16810826C22semidirect
133. #16810824C22semidirect
134. #16810823C22semidirect
135. #16810822C22semidirect
136. #16810821C22semidirect
137. #16810788C22semidirect
138. #16810785C22semidirect
139. #16810784C22semidirect
140. #16810778C22semidirect
141. #16810777C22semidirect
142. #16810777C22semidirect
143. #16810776C22semidirect
144. #16810776C22semidirect
145. #16810775C22semidirect
146. #16810775C22semidirect
147. #16810775C22semidirect
148. #16810774C22semidirect
149. #16810773C22semidirect
150. #16810772C22semidirect
151. #16810769C22semidirect
152. #16810768C22semidirect
153. #16810765C22semidirect
154. #16810764C22semidirect
155. #16810764C22semidirect
156. #16810763C22semidirect
157. #16810763C22semidirect
158. #16810763C22semidirect
159. #16810762C22semidirect
160. #16810761C22semidirect
161. #16810760C22semidirect
162. #16810756C22semidirect
163. #16810755C22semidirect
164. #16810755C22semidirect
165. #16810726C22semidirect
166. #16810723C22semidirect
167. #16810721C22semidirect
168. #16810720C22semidirect
169. C4×#11719913C22semidirect
170. SD16×Dic53C22semidirect
171. #16810710C22semidirect
172. #16810697C22semidirect
173. #16810695C22semidirect
174. #16810693C22semidirect
175. #16810691C22semidirect
176. C8×D212C22semidirect
177. C8×C22⋊D53C22semidirect
178. C8×C22⋊D53C22semidirect
179. #16810658C22semidirect
180. #16810648C22semidirect
181. #16810630C22semidirect
182. #16810630C22semidirect
184. #16810626C22semidirect
185. #16810618C22semidirect
186. #16810616C22semidirect
187. #16810588C22semidirect
188. #16810585C22semidirect
189. #16810577C22semidirect
190. C2×#135×C53C22semidirect
191. C22×SD16×C53C22semidirect
192. C53×#548C22semidirect
194. C53×#495C22semidirect
195. C53×#465C22semidirect
196. C53×#465C22semidirect
197. C53×#464C22semidirect
198. C53×#463C22semidirect
199. C53×#452C22semidirect
200. C53×#451C22semidirect
201. C53×#449C22semidirect
202. C53×#447C22semidirect
203. C4×SD16×C53C22semidirect
204. C8×D4×C53C22semidirect
218. C2×#11719947C23semidirect
222. C22×Dic106C23semidirect
231. C2×Q8×D53C23semidirect
263. C2×#11719925C23semidirect
264. C2×#11719925C23semidirect
265. C2×#11719925C23semidirect
274. C2×#11719913C23semidirect
275. C2×#11719913C23semidirect
276. C2×#11719913C23semidirect
289. C2×#11719924C23semidirect
290. C2×#11719924C23semidirect
299. SD16×D53D4semidirect
302. C2×#11719922C23semidirect
304. C2×#11719917C23semidirect
307. C2×#11719912C23semidirect
314. C2×C8×D53C23semidirect
316. #13133217C23semidirect
321. #13133215C23semidirect
327. #13133204C23semidirect
346. #13133197C23semidirect
350. #13133196C23semidirect
363. #13133193C23semidirect
403. Q8×Dic53C23semidirect
405. C4×Dic106C23semidirect
407. #13133182C23semidirect
437. #13133150C23semidirect
438. #13133150C23semidirect
439. #13133149C23semidirect
440. C4⋊#88322C23semidirect
441. #13133146C23semidirect
442. #13133146C23semidirect
443. #13133142C23semidirect
444. #13133142C23semidirect
445. #13133142C23semidirect
446. #13133141C23semidirect
447. #13133141C23semidirect
448. #13133141C23semidirect
449. #13133140C23semidirect
450. #13133140C23semidirect
451. #13133140C23semidirect
454. #13133139C23semidirect
457. #13133138C23semidirect
460. #13133137C23semidirect
462. C22⋊#88322C23semidirect
465. #13133129C23semidirect
466. #13133129C23semidirect
467. #13133128C23semidirect
468. #13133127C23semidirect
469. C8×Dic53C23semidirect
471. C2×#41×C53C23semidirect
475. C2×Q16×C53C23semidirect
476. C2×Q16×C53C23semidirect
482. C2×SD16×C53C23semidirect
486. C22×C8×C53C23semidirect
489. #124×C53C23semidirect
493. C22⋊Q8×C53C23semidirect
499. C4×Q8×C53C23semidirect
504. #106×C53C23semidirect
505. C4⋊C8×C53C23semidirect
506. #103×C53C23semidirect
507. #103×C53C23semidirect
508. #103×C53C23semidirect
511. #102×C53C23semidirect
513. C22⋊C8×C53C23semidirect
514. C4×C8×C53C23semidirect
594. Q8×D53C2×D4semidirect
680. SD16×C53C2×D4semidirect
725. #11719924C2×D4semidirect
731. #11719923C2×D4semidirect
795. #11719913C2×D4semidirect
803. C8×D53C2×D4semidirect
984. C22×C53#577semidirect
1011. C2×D53#577semidirect
1040. #3282D53semidirect
1093. C2×#135C2×D53semidirect
1108. C22×SD16C2×D53semidirect
1122. #548C2×D53semidirect
1157. #495C2×D53semidirect
1174. #465C2×D53semidirect
1175. #465C2×D53semidirect
1179. #464C2×D53semidirect
1183. #463C2×D53semidirect
1195. #452C2×D53semidirect
1199. #451C2×D53semidirect
1211. #449C2×D53semidirect
1223. #447C2×D53semidirect
1231. C4×SD16C2×D53semidirect
1239. C8×D4C2×D53semidirect
1251. C53#61050semidirect
1267. C2×#41C22×D53semidirect
1318. C2×Q16C22×D53semidirect
1319. C2×Q16C22×D53semidirect
1359. C2×SD16C22×D53semidirect
1378. C22×C8C22×D53semidirect
1398. #124C22×D53semidirect
1434. C22⋊Q8C22×D53semidirect
1484. C4×Q8C22×D53semidirect
1521. #106C22×D53semidirect
1525. C4⋊C8C22×D53semidirect
1535. #103C22×D53semidirect
1536. #103C22×D53semidirect
1537. #103C22×D53semidirect
1549. #102C22×D53semidirect
1557. C22⋊C8C22×D53semidirect
1561. C4×C8C22×D53semidirect
1751. SD16D4×D53semidirect
2056. C22#16811430semidirect

Maximal subgroups

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

subgroupindex
C2×#168114302
C22×SD16×D532
#202883612
#202883452
#202864212
#202864192
#202864162
D4×#117199132
SD16×D2122
#202864082
SD16×C22⋊D532
#202862232
#202862212
#202862202
#202862182
#202862162
#202862142
#202862132
#202862112
#202851862
#202843492
#202842912
#202842342
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C53×#32822
#6105053