Finite Group Databasebeta

← #28259578

Subgroups — #28259578

Order 13568.

2878 conjugacy classes of subgroups.

The subgroup lattice has 2128 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811430C211yesmaximal, characteristic, complemented
2C2×AGL(1,ℤ/8)×D53C211yesmaximal, characteristic, complemented
3#20288368C211yesmaximal, characteristic, complemented
4#20288345C211yesmaximal, characteristic, complemented
5#20286344C211yesmaximal, characteristic, complemented
6#20286342C211yesmaximal, characteristic, complemented
7#20286341C211yesmaximal, characteristic, complemented
8#20286339C211yesmaximal, characteristic, complemented
9#20286338C211yesmaximal, characteristic, complemented
10#20286335C211yesmaximal, characteristic, complemented
11#20286333C211yesmaximal, characteristic, complemented
12#20286328C211yesmaximal, characteristic, complemented
13#20286262C211yesmaximal, characteristic, complemented
14#20286255C211yesmaximal, characteristic, complemented
15#20286254C211yesmaximal, characteristic, complemented
16#20286215C211yesmaximal, characteristic, complemented
17#20286212C211yesmaximal, characteristic, complemented
18#20286207C211yesmaximal, characteristic, complemented
19#20286204C211yesmaximal, characteristic, complemented
20#20285199C211yesmaximal, characteristic, complemented
21#20284358C211yesmaximal, characteristic, complemented
22#20284319C211yesmaximal, characteristic, complemented
23#20284234C211yesmaximal, characteristic, complemented
24#20284213C211yesmaximal, characteristic, complemented
25#20283998C211yesmaximal, characteristic, complemented
26#20283980C211yesmaximal, characteristic, complemented
27#20283958C211yesmaximal, characteristic, complemented
28#20283939C211yesmaximal, characteristic, complemented
29#20283571C211yesmaximal, characteristic, complemented
30#20283413C211yesmaximal, characteristic, complemented
31C53×#3268C211yesmaximal, characteristic, complemented
32C2×#13133264C2211yescharacteristic, complemented
33C2×#13133263C2211yescharacteristic
34C2×#41×D53C2211yescharacteristic, complemented
35C22×D4×D53C2211yescharacteristic
36#16811430—28no—
37C2×#13133249C2211yescharacteristic, complemented
38C2×#13133249C2211yescharacteristic, complemented
39C2×#13133247C2211yescharacteristic, complemented
40C2×#13133245C2211yescharacteristic, complemented
41C2×#13133244C2211yescharacteristic, complemented
42C2×#13133244C2211yescharacteristic, complemented
43C2×#13133244C2211yescharacteristic, complemented
44C2×#13133243C2211yescharacteristic, complemented
45C2×#13133242C2211yescharacteristic, complemented
46C2×#13133242C2211yescharacteristic, complemented
47C2×#13133241C2211yescharacteristic
48C2×#13133241C2211yescharacteristic, complemented
49C2×#13133241C2211yescharacteristic, complemented
50C2×#13133241C2211yescharacteristic, complemented
51C2×#13133241C2211yescharacteristic, complemented
52AGL(1,ℤ/8)×D53—28no—
53C2×#13133238C2211yescharacteristic, complemented
54C2×#13133238C2211yescharacteristic, complemented
55C22×#11719913C2211yescharacteristic, complemented
56C2×SD16×D53C2211yescharacteristic
57C2×SD16×D53C2211yescharacteristic, complemented
58C2×SD16×D53C2211yescharacteristic, complemented
59C2×D8×D53C2211yescharacteristic
60C2×D8×D53C2211yescharacteristic, complemented
61C2×#13133223C2211yescharacteristic, complemented
62C2×M16×D53C2211yescharacteristic, complemented
63#16811293—21no—
64#16811293C2211yescharacteristic, complemented
65#16811292C2211yescharacteristic, complemented
66#16811291—21no—
67#16811291C2211yescharacteristic, complemented
68#16811285C2211yescharacteristic, complemented
69#16811282—21no—
70#16811282C2211yescharacteristic, complemented
71#16811280C2211yescharacteristic, complemented
72#16811279—21no—
73#16811279C2211yescharacteristic, complemented
74#16811266C2211yescharacteristic, complemented
75#16811265—21no—
76#16811264C2211yescharacteristic, complemented
77#16811263—21no—
78#16811261C2211yescharacteristic, complemented
79D4×D212C2211yescharacteristic, complemented
80D4×D212C2211yescharacteristic, complemented
81#16811257—21no—
82#16811257C2211yescharacteristic, complemented
83D4×C22⋊D53C2211yescharacteristic, complemented
84#16811255—21no—
85#16811191C2211yescharacteristic
86#16811189—21no—
87#16811189C2211yescharacteristic
88#16811189C2211yescharacteristic, complemented
89#16811186—21no—
90#16811186C2211yescharacteristic, complemented
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#16811012C2211yescharacteristic, complemented
103#16811011C2211yescharacteristic, complemented
104#16811009C2211yescharacteristic, complemented
105#16811005C2211yescharacteristic, complemented
106#16811004C2211yescharacteristic, complemented
107#16810999C2211yescharacteristic, complemented
108#16810998C2211yescharacteristic, complemented
109#16810880C2211yescharacteristic, complemented
110#16810879C2211yescharacteristic, complemented
111#16810875C2211yescharacteristic, complemented
112#16810875C2211yescharacteristic, complemented
113#16810875C2211yescharacteristic, complemented
114#16810874C2211yescharacteristic, complemented
115#16810874C2211yescharacteristic, complemented
116#16810874C2211yescharacteristic, complemented
117#16810870C2211yescharacteristic, complemented
118#16810869C2211yescharacteristic, complemented
119#16810866C2211yescharacteristic, complemented
120#16810860C2211yescharacteristic, complemented
121#16810859C2211yescharacteristic, complemented
122#16810856C2211yescharacteristic, complemented
123#16810848C2211yescharacteristic, complemented
124#16810847C2211yescharacteristic, complemented
125#16810842C2211yescharacteristic, complemented
126#16810839C2211yescharacteristic, complemented
127#16810838C2211yescharacteristic, complemented
128#16810837C2211yescharacteristic, complemented
129#16810836C2211yescharacteristic, complemented
130#16810824C2211yescharacteristic, complemented
131#16810823C2211yescharacteristic, complemented
132#16810822C2211yescharacteristic, complemented
133#16810821C2211yescharacteristic, complemented
134#16810817C2211yescharacteristic, complemented
135#16810816C2211yescharacteristic, complemented
136#16810815C2211yescharacteristic, complemented
137#16810784C2211yescharacteristic, complemented
138#16810783C2211yescharacteristic, complemented
139#16810782C2211yescharacteristic, complemented
140#16810776C2211yescharacteristic, complemented
141#16810775C2211yescharacteristic, complemented
142#16810775C2211yescharacteristic, complemented
143#16810774C2211yescharacteristic, complemented
144#16810771C2211yescharacteristic, complemented
145#16810771C2211yescharacteristic, complemented
146#16810770C2211yescharacteristic, complemented
147#16810769C2211yescharacteristic, complemented
148#16810769C2211yescharacteristic, complemented
149#16810768C2211yescharacteristic, complemented
150#16810768C2211yescharacteristic, complemented
151#16810768C2211yescharacteristic, complemented
152#16810767C2211yescharacteristic, complemented
153#16810765C2211yescharacteristic, complemented
154#16810764C2211yescharacteristic, complemented
155#16810763C2211yescharacteristic, complemented
156#16810761C2211yescharacteristic, complemented
157#16810760C2211yescharacteristic, complemented
158#16810759C2211yescharacteristic, complemented
159#16810758C2211yescharacteristic, complemented
160#16810756C2211yescharacteristic, complemented
161#16810756C2211yescharacteristic, complemented
162#16810755C2211yescharacteristic, complemented
163#16810755C2211yescharacteristic, complemented
164#16810755C2211yescharacteristic, complemented
165#16810725C2211yescharacteristic, complemented
166#16810724C2211yescharacteristic, complemented
167#16810722C2211yescharacteristic, complemented
168#16810714C2211yescharacteristic, complemented
169C4×#11719924C2211yescharacteristic, complemented
170C4×#11719923C2211yescharacteristic, complemented
171#16810708C2211yescharacteristic, complemented
172#16810701C2211yescharacteristic, complemented
173#16810700C2211yescharacteristic, complemented
174#16810698C2211yescharacteristic, complemented
175#16810698C2211yescharacteristic, complemented
176#16810696C2211yescharacteristic, complemented
177#16810694C2211yescharacteristic, complemented
178#16810692C2211yescharacteristic, complemented
179#16810660C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810630C2211yescharacteristic, complemented
182#16810626C2211yescharacteristic
183#16810626C2211yescharacteristic, complemented
184#16810626C2211yescharacteristic, complemented
185#16810618C2211yescharacteristic, complemented
186#16810616C2211yescharacteristic, complemented
187#16810588C2211yescharacteristic, complemented
188#16810585C2211yescharacteristic, complemented
189#16810580C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C53C2211yescharacteristic, complemented
191C2×#135×C53C2211yescharacteristic, complemented
192C53×#550C2211yescharacteristic, complemented
193C53×#546C2211yescharacteristic, complemented
194C53×#496C2211yescharacteristic, complemented
195C53×#468C2211yescharacteristic, complemented
196C53×#466C2211yescharacteristic, complemented
197C53×#464C2211yescharacteristic, complemented
198C53×#459C2211yescharacteristic, complemented
199C53×#452C2211yescharacteristic, complemented
200C53×#449C2211yescharacteristic, complemented
201C53×#449C2211yescharacteristic, complemented
202C53×#447C2211yescharacteristic, complemented
203C53×#440C2211yescharacteristic, complemented
204C53×#435C2211yescharacteristic, complemented
205C24×D53—21no—
206#13133264—24no—
207#13133264—42no—
208#13133263—24no—
209#13133263—42no—
210C2×#11719949C2311yescharacteristic
211C2×#11719949C2311yescharacteristic
212C2×#11719949C2311yescharacteristic
213C2×#11719945—21no—
214C2×#11719945—21no—
215C2×#11719945—21no—
216C2×#11719945C2311yescharacteristic
217C2×#11719945C2311yescharacteristic
218C2×#11719947—21no—
219C2×#11719947—21no—
220C2×#11719947—21no—
221C2×#11719947C2311yescharacteristic
222C2×#11719947C2311yescharacteristic
223C2×#11719947C2311yescharacteristic, complemented
224#41×D53—24no—
225#41×D53—42no—
226C22×Dic106—21no—
227C22×Dic106C2311yescharacteristic, complemented
228C2×Q8×D53C2311yescharacteristic
229C2×Q8×D53C2311yescharacteristic, complemented
230C22×D212—21no—
231C22×D212—21no—
232C22×D212C2311yescharacteristic
233C22×D212C2311yescharacteristic
234C22×C22⋊D53—21no—
235C22×C22⋊D53—21no—
236C2×D4×D53—24no—
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—42no—
245C2×D4×D53C2311yescharacteristic
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#13133247—24no—
256#13133245—24no—
257#13133244—24no—
258#13133244—24no—
259#13133244—42no—
260#13133243—24no—
261#13133242—24no—
262#13133242—24no—
263#13133241—24no—
264#13133241—24no—
265#13133241—24no—
266#13133241—24no—
267#13133241—42no—
268#13133238—24no—
269#13133238—24no—
270C2×#11719925C2311yescharacteristic, complemented
271C2×#11719925C2311yescharacteristic, complemented
272C2×#11719913—24no—
273C2×#11719913C2311yescharacteristic
274C2×#11719913C2311yescharacteristic
275C2×#11719913C2311yescharacteristic
276C2×#11719913C2311yescharacteristic
277C2×#11719913C2311yescharacteristic, complemented
278C2×#11719913C2311yescharacteristic, complemented
279C2×#11719923C2311yescharacteristic
280C2×#11719923C2311yescharacteristic
281C2×#11719923C2311yescharacteristic
282C2×#11719923C2311yescharacteristic
283C2×#11719924C2311yescharacteristic
284C2×#11719924C2311yescharacteristic
285C2×#11719924C2311yescharacteristic, complemented
286C2×#11719924C2311yescharacteristic, complemented
287SD16×D53—24no—
288SD16×D53—24no—
289SD16×D53D418yescomplemented
290C2×D424C2311yescharacteristic
291C2×D424C2311yescharacteristic
292C2×D424C2311yescharacteristic, complemented
293C2×#11719922C2311yescharacteristic
294C2×#11719922C2311yescharacteristic
295C2×#11719922C2311yescharacteristic
296C2×#11719922C2311yescharacteristic
297C2×#11719922C2311yescharacteristic
298C2×#11719922C2311yescharacteristic
299C2×#11719922C2311yescharacteristic, complemented
300C2×#11719922C2311yescharacteristic, complemented
301D8×D53—24no—
302D8×D53—24no—
303#13133223—24no—
304C2×#11719917C2311yescharacteristic
305C2×#11719917C2311yescharacteristic, complemented
306C2×#11719912C2311yescharacteristic
307C2×#11719912C2311yescharacteristic
308C2×#11719912C2311yescharacteristic
309C2×#11719912C2311yescharacteristic
310C2×#11719912C2311yescharacteristic, complemented
311M16×D53—24no—
312C2×C8×D53C2311yescharacteristic
313C2×C8×D53C2311yescharacteristic
314C2×C8×D53C2311yescharacteristic, complemented
315#13133214C2311yescharacteristic
316#13133213—21no—
317#13133213—21no—
318#13133213—21no—
319#13133213—21no—
320#13133213—21no—
321#13133213C2311yescharacteristic
322#13133213C2311yescharacteristic, complemented
323#13133206C2311yescharacteristic
324#13133205—21no—
325#13133205C2311yescharacteristic, complemented
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#13133202D411yescharacteristic
335#13133200—21no—
336#13133199—21no—
337#13133199—21no—
338#13133199D411yescharacteristic
339#13133197—21no—
340#13133197C2311yescharacteristic
341#13133196—21no—
342#13133196C2311yescharacteristic
343#13133195—21no—
344#13133195D411yescharacteristic
345#13133194—21no—
346#13133194D411yescharacteristic
347#13133193C2311yescharacteristic
348#13133192—21no—
349#13133192—21no—
350#13133192—21no—
351#13133192C2311yescharacteristic
352#13133192C2311yescharacteristic
353#13133192C2311yescharacteristic, complemented
354#13133191—21no—
355#13133191—21no—
356#13133191C2311yescharacteristic
357#13133191C2311yescharacteristic
358#13133191C2311yescharacteristic, complemented
359#13133190—21no—
360#13133190—21no—
361#13133190—21no—
362#13133190—21no—
363#13133190—21no—
364#13133190D411yescharacteristic
365#13133189—21no—
366#13133189—21no—
367#13133189—21no—
368#13133189—21no—
369#13133189—21no—
370#13133189—21no—
371#13133189—21no—
372#13133189—21no—
373#13133189—21no—
374#13133189D411yescharacteristic
375#13133188—21no—
376#13133188—21no—
377#13133188C2311yescharacteristic
378#13133188C2311yescharacteristic
379#13133188C2311yescharacteristic, complemented
380#13133187—21no—
381#13133187—21no—
382#13133187—21no—
383#13133187—21no—
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#13133187D411yescharacteristic
393#13133186—21no—
394#13133185—21no—
395#13133185—21no—
396#13133185—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#13133151C2311yescharacteristic, complemented
438#13133148C2311yescharacteristic, complemented
439#13133148C2311yescharacteristic, complemented
440C4⋊#88322C2311yescharacteristic, complemented
441#13133146C2311yescharacteristic, complemented
442#13133146C2311yescharacteristic, complemented
443#13133142C2311yescharacteristic, complemented
444#13133142C2311yescharacteristic, complemented
445#13133141C2311yescharacteristic, complemented
446#13133141C2311yescharacteristic, complemented
447#13133140C2311yescharacteristic, complemented
448#13133140C2311yescharacteristic, complemented
449#13133139C2311yescharacteristic
450#13133139C2311yescharacteristic
451#13133139C2311yescharacteristic, complemented
452#13133139C2311yescharacteristic, complemented
453#13133138C2311yescharacteristic
454#13133138C2311yescharacteristic
455#13133138C2311yescharacteristic, complemented
456#13133138C2311yescharacteristic, complemented
457#13133137C2311yescharacteristic
458#13133137C2311yescharacteristic
459#13133137C2311yescharacteristic, complemented
460#13133137C2311yescharacteristic, complemented
461C22⋊#88322C2311yescharacteristic
462C22⋊#88322C2311yescharacteristic, complemented
463#13133129C2311yescharacteristic
464#13133129C2311yescharacteristic
465#13133129C2311yescharacteristic, complemented
466#13133129C2311yescharacteristic, complemented
467#13133127C2311yescharacteristic, complemented
468C4×#88322C2311yescharacteristic, complemented
469C8×Dic53C2311yescharacteristic, complemented
470C2×#41×C53C2311yescharacteristic
471C2×#41×C53C2311yescharacteristic
472C2×#41×C53C2311yescharacteristic, complemented
473C22×D4×C53C2311yescharacteristic
474AGL(1,ℤ/8)×C53—24no—
475#135×C53—24no—
476C2×Q16×C53C2311yescharacteristic, complemented
477C2×SD16×C53C2311yescharacteristic
478C2×SD16×C53C2311yescharacteristic
479C2×SD16×C53C2311yescharacteristic, complemented
480C2×SD16×C53C2311yescharacteristic, complemented
481C2×D8×C53C2311yescharacteristic
482C2×D8×C53C2311yescharacteristic
483C2×D8×C53C2311yescharacteristic
484C2×D8×C53C2311yescharacteristic
485C2×M16×C53C2311yescharacteristic
486C22×C8×C53C2311yescharacteristic, complemented
487#127×C53—21no—
488#127×C53C2311yescharacteristic, complemented
489#124×C53C2311yescharacteristic
490#123×C53—21no—
491C22⋊Q8×C53C2311yescharacteristic
492#121×C53—21no—
493#121×C53—21no—
494#121×C53—21no—
495#121×C53C2311yescharacteristic
496#121×C53C2311yescharacteristic
497#121×C53C2311yescharacteristic, complemented
498#120×C53—21no—
499C4×Q8×C53C2311yescharacteristic, complemented
500C4×D4×C53—21no—
501C4×D4×C53C2311yescharacteristic
502C4×D4×C53C2311yescharacteristic
503C2×C22⋊C4×C53—21no—
504#107×C53C2311yescharacteristic, complemented
505C4⋊C8×C53C2311yescharacteristic, complemented
506#103×C53C2311yescharacteristic, complemented
507#103×C53C2311yescharacteristic, complemented
508#102×C53C2311yescharacteristic
509#102×C53C2311yescharacteristic
510#102×C53C2311yescharacteristic, complemented
511#102×C53C2311yescharacteristic, complemented
512C22⋊C8×C53C2311yescharacteristic
513C22⋊C8×C53C2311yescharacteristic, complemented
514#97×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—21no—
524C23×D53—44no—
525C23×D53—82no—
526C23×D53—82no—
527C23×D53C2×D411yescharacteristic
528#41×C53—22no—
529#41×C53—22no—
530#41×C53—22no—
531#41×C53—41no—
532#41×C53—41no—
533#41×C53—41no—
534C2×Q8×C53C2411yescharacteristic
535C2×Q8×C53C2411yescharacteristic
536C2×D4×C53—22no—
537C2×D4×C53—21no—
538C2×D4×C53—21no—
539C2×D4×C53—21no—
540C2×D4×C53—21no—
541C2×D4×C53—21no—
542C2×D4×C53—21no—
543C2×D4×C53—21no—
544C2×D4×C53—21no—
545C2×D4×C53—21no—
546C2×D4×C53—41no—
547C2×D4×C53C2×D411yescharacteristic
548C2×D4×C53C2411yescharacteristic
549C2×D4×C53C2411yescharacteristic
550C2×D4×C53C2411yescharacteristic
551C2×D4×C53C2411yescharacteristic
552C22×C4×C53—21no—
553C22×C4×C53—21no—
554C22×C4×C53—21no—
555C22×C4×C53—21no—
556C22×C4×C53C2411yescharacteristic
557C22×C4×C53C2411yescharacteristic
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—21no—
568C2×C22⋊D53—21no—
569C2×C22⋊D53—21no—
570C2×C22⋊D53—21no—
571C2×C22⋊D53—21no—
572C2×C22⋊D53—21no—
573C2×C22⋊D53—21no—
574C2×C22⋊D53—21no—
575C2×C22⋊D53—21no—
576C2×C22⋊D53—21no—
577C2×C22⋊D53—21no—
578C2×C22⋊D53—44no—
579C2×C22⋊D53—82no—
580C2×C22⋊D53C2×D411yescharacteristic
581C2×C22⋊D53C2×D411yescharacteristic
582C2×C22⋊D53C2×D411yescharacteristic
583C2×C22⋊D53C2×D411yescharacteristic
584C22×Dic53—21no—
585C22×Dic53—21no—
586C22×Dic53—21no—
587C22×Dic53—21no—
588C22×Dic53—21no—
589C22×Dic53C2×D411yescharacteristic
590#11719949—22no—
591#11719949—22no—
592#11719949—22no—
593#11719949—22no—
594#11719949—41no—
595#11719949—41no—
596Q8×D53—22no—
597Q8×D53—22no—
598Q8×D53—41no—
599Q8×D53C2×D414yescomplemented
600#11719947—22no—
601#11719947—22no—
602#11719947—22no—
603#11719947—22no—
604#11719947—41no—
605#11719947—41no—
606#11719947—44no—
607#11719947—44no—
608#11719947—44no—
609D4×D53—22no—
610D4×D53—22no—
611D4×D53—22no—
612D4×D53—22no—
613D4×D53—22no—
614D4×D53—22no—
615D4×D53—22no—
616D4×D53—22no—
617D4×D53—41no—
618D4×D53—41no—
619D4×D53—41no—
620D4×D53—44no—
621D4×D53—44no—
622D4×D53—44no—
623D4×D53—44no—
624D4×D53—44no—
625D4×D53—82no—
626D4×D53—82no—
627D4×D53C2×D414yes—
628#11719945—22no—
629#11719945—22no—
630#11719945—22no—
631#11719945—44no—
632#11719945—41no—
633#11719945—44no—
634#11719945—44no—
635C2×D212—22no—
636C2×D212—22no—
637C2×D212—21no—
638C2×D212—21no—
639C2×D212—21no—
640C2×D212—21no—
641C2×D212—21no—
642C2×D212—21no—
643C2×D212—21no—
644C2×D212—21no—
645C2×D212—21no—
646C2×D212—21no—
647C2×D212—41no—
648C2×D212—41no—
649C2×D212—44no—
650C2×D212—82no—
651C2×D212C2×D411yescharacteristic
652C2×D212C2×D411yescharacteristic
653C2×D212C2411yescharacteristic
654C2×D212C2411yescharacteristic
655C2×D212C2411yescharacteristic
656C2×D212C2411yescharacteristic
657C2×C4×D53—21no—
658C2×C4×D53—22no—
659C2×C4×D53—22no—
660C2×C4×D53—21no—
661C2×C4×D53—21no—
662C2×C4×D53—21no—
663C2×C4×D53—21no—
664C2×C4×D53—21no—
665C2×C4×D53—21no—
666C2×C4×D53—21no—
667C2×C4×D53—44no—
668C2×C4×D53C2×D411yescharacteristic
669C2×C4×D53C2×D411yescharacteristic
670C2×C4×D53C2411yescharacteristic
671C2×C4×D53C2411yescharacteristic
672C2×C4×D53C2411yescharacteristic
673C2×Dic106—21no—
674C2×Dic106—22no—
675C2×Dic106—21no—
676C2×Dic106—21no—
677C2×Dic106—41no—
678C2×Dic106—44no—
679C2×Dic106C2×D411yescharacteristic
680C2×Dic106C2411yescharacteristic
681C2×Dic106C2411yescharacteristic
682Q16×C53—22no—
683SD16×C53—22no—
684SD16×C53—22no—
685SD16×C53—41no—
686SD16×C53C2×D414yescomplemented
687D8×C53—22no—
688D8×C53—22no—
689D8×C53—22no—
690D8×C53—41no—
691M16×C53—22no—
692C2×C8×C53—22no—
693C2×C8×C53C2411yescharacteristic
694C2×C8×C53C2411yescharacteristic
695C2×C8×C53C2411yescharacteristic
696C2×C8×C53C2411yescharacteristic
697C4⋊C4×C53—21no—
698C4⋊C4×C53—21no—
699C4⋊C4×C53C2×D411yescharacteristic
700C4⋊C4×C53C2411yescharacteristic
701C4⋊C4×C53C2411yescharacteristic
702C22⋊C4×C53—21no—
703C22⋊C4×C53—21no—
704C22⋊C4×C53—21no—
705C22⋊C4×C53—21no—
706C22⋊C4×C53—21no—
707C22⋊C4×C53—21no—
708C22⋊C4×C53—21no—
709C22⋊C4×C53C2×D411yescharacteristic
710C22⋊C4×C53C2×D411yescharacteristic
711C42×C53—21no—
712C42×C53C2411yescharacteristic
713C22⋊Dic53—21no—
714C22⋊Dic53—21no—
715C22⋊Dic53—21no—
716C22⋊Dic53—21no—
717C22⋊Dic53—21no—
718C22⋊Dic53—21no—
719C22⋊Dic53—21no—
720C22⋊Dic53C2×D411yescharacteristic
721C22⋊Dic53C2×D411yescharacteristic
722#11719925—22no—
723#11719925—22no—
724#11719924—22no—
725#11719924—22no—
726#11719924—41no—
727#11719924C2×D414yescomplemented
728#11719923—22no—
729#11719923—22no—
730#11719923—41no—
731#11719923C2×D414yescomplemented
732#11719922—22no—
733#11719922—22no—
734#11719922—22no—
735#11719922—22no—
736#11719922—22no—
737#11719922—22no—
738#11719922—41no—
739#11719922—41no—
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#11719921—21no—
754#11719921—21no—
755#11719921—21no—
756#11719921C2×D411yescharacteristic
757#11719921C2×D411yescharacteristic
758#11719921C2×D411yescharacteristic
759#11719921C2×D411yescharacteristic
760#11719921C2×D411yescharacteristic
761#11719921C2×D411yescharacteristic
762C4⋊Dic53—21no—
763C4⋊Dic53—21no—
764C4⋊Dic53C2×D411yescharacteristic
765C4⋊Dic53C2411yescharacteristic
766C4⋊Dic53C2411yescharacteristic
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—
782#11719917—22no—
783C2×#88322C2411yescharacteristic
784C2×#88322C2411yescharacteristic
785C2×#88322C2411yescharacteristic
786C2×#88322C2411yescharacteristic
787D424—22no—
788D424—22no—
789D424—41no—
790#11719913—22no—
791#11719913—22no—
792#11719913—22no—
793#11719913—22no—
794#11719913—41no—
795#11719913C2×D414yescomplemented
796#11719912—22no—
797#11719912—22no—
798#11719912—22no—
799#11719912—22no—
800#11719912—22no—
801C8×D53—22no—
802C8×D53—22no—
803C8×D53C2×D414yescomplemented
804C23×C53—21no—
805C23×C53—21no—
806C23×C53—21no—
807C23×C53—21no—
808C23×C53—42no—
809C23×C53—42no—
810C23×C53—81no—
811C23×C53C22×D411yescharacteristic
812C23×C53C22×D411yescharacteristic
813C22×D53—21no—
814C22×D53—22no—
815C22×D53—24no—
816C22×D53—21no—
817C22×D53—21no—
818C22×D53—21no—
819C22×D53—41no—
820C22×D53—41no—
821C22×D53—42no—
822C22×D53—42no—
823C22×D53—42no—
824C22×D53—42no—
825C22×D53—42no—
826C22×D53—42no—
827C22×D53—42no—
828C22×D53—42no—
829C22×D53—42no—
830C22×D53—42no—
831C22×D53—81no—
832C22×D53—81no—
833C22×D53—81no—
834C22×D53—81no—
835C22×D53—81no—
836C22×D53—81no—
837C22×D53—81no—
838C22×D53—81no—
839C22×D53—81no—
840C22×D53—81no—
841C22×D53—81no—
842C22×D53—81no—
843C22×D53—81no—
844C22×D53—816no—
845C22×D53C22×D411yescharacteristic
846C22×D53C22×D411yescharacteristic
847C22×D53C22×D411yescharacteristic
848Q8×C53—21no—
849Q8×C53—21no—
850Q8×C53—21no—
851Q8×C53C22×D412yes—
852D4×C53—21no—
853D4×C53—21no—
854D4×C53—21no—
855D4×C53—21no—
856D4×C53—21no—
857D4×C53—21no—
858D4×C53—21no—
859D4×C53—41no—
860D4×C53—42no—
861D4×C53—42no—
862D4×C53—42no—
863D4×C53—42no—
864D4×C53—81no—
865D4×C53—81no—
866D4×C53—81no—
867D4×C53—81no—
868D4×C53—81no—
869D4×C53C22×D412yes—
870C2×C4×C53—21no—
871C2×C4×C53—21no—
872C2×C4×C53—21no—
873C2×C4×C53—21no—
874C2×C4×C53—21no—
875C2×C4×C53—21no—
876C2×C4×C53—21no—
877C2×C4×C53—21no—
878C2×C4×C53—42no—
879C2×C4×C53—42no—
880C2×C4×C53—42no—
881C2×C4×C53—81no—
882C2×C4×C53C22×D411yescharacteristic
883C2×C4×C53C22×D411yescharacteristic
884C2×C4×C53C22×D411yescharacteristic
885C2×C4×C53C22×D411yescharacteristic
886C2×C4×C53C2511yescharacteristic
887C22⋊D53—22no—
888C22⋊D53—22no—
889C22⋊D53—24no—
890C22⋊D53—41no—
891C22⋊D53—41no—
892C22⋊D53—42no—
893C22⋊D53—42no—
894C22⋊D53—42no—
895C22⋊D53—42no—
896C22⋊D53—42no—
897C22⋊D53—42no—
898C22⋊D53—42no—
899C22⋊D53—42no—
900C22⋊D53—42no—
901C22⋊D53—42no—
902C22⋊D53—81no—
903C22⋊D53—81no—
904C22⋊D53—81no—
905C22⋊D53—81no—
906C22⋊D53—81no—
907C22⋊D53—81no—
908C22⋊D53—81no—
909C22⋊D53—81no—
910C22⋊D53—81no—
911C2×Dic53—21no—
912C2×Dic53—22no—
913C2×Dic53—21no—
914C2×Dic53—21no—
915C2×Dic53—21no—
916C2×Dic53—42no—
917C2×Dic53—42no—
918C2×Dic53—42no—
919C2×Dic53—42no—
920C2×Dic53—81no—
921C2×Dic53C22×D411yescharacteristic
922C2×Dic53C22×D411yescharacteristic
923C2×Dic53C22×D411yescharacteristic
924C2×Dic53C22×D411yescharacteristic
925C2×Dic53C22×D411yescharacteristic
926D212—22no—
927D212—21no—
928D212—21no—
929D212—21no—
930D212—21no—
931D212—21no—
932D212—21no—
933D212—21no—
934D212—41no—
935D212—42no—
936D212—42no—
937D212—42no—
938D212—42no—
939D212—42no—
940D212—42no—
941D212—81no—
942D212—81no—
943D212—81no—
944D212—81no—
945D212C22×D412yes—
946C4×D53—22no—
947C4×D53—24no—
948C4×D53—21no—
949C4×D53—21no—
950C4×D53—21no—
951C4×D53—21no—
952C4×D53—22no—
953C4×D53—42no—
954C4×D53—42no—
955C4×D53—42no—
956C4×D53—42no—
957C4×D53—42no—
958C4×D53—81no—
959C4×D53—81no—
960C4×D53C22×D412yes—
961C4×D53H(5,𝔽2)12yes—
962Dic106—21no—
963Dic106—24no—
964Dic106—22no—
965Dic106—21no—
966Dic106—21no—
967Dic106—42no—
968Dic106—42no—
969Dic106C22×D412yes—
970C8×C53—21no—
971C8×C53—21no—
972C8×C53—21no—
973C8×C53C22×D412yes—
974#88322—21no—
975#88322—21no—
976#88322—21no—
977#88322C22×D412yes—
978#61059—531nomaximal, Sylow
979C22×C53—21no—
980C22×C53—21no—
981C22×C53—21no—
982C22×C53—21no—
983C22×C53—21no—
984C22×C53—21no—
985C22×C53—22no—
986C22×C53—41no—
987C22×C53—41no—
988C22×C53—41no—
989C22×C53—41no—
990C22×C53—41no—
991C22×C53—41no—
992C22×C53—41no—
993C22×C53—41no—
994C22×C53—41no—
995C22×C53—41no—
996C22×C53—41no—
997C22×C53—84no—
998C22×C53C23×D411yescharacteristic
999C2×D53—21no—
1000C2×D53—21no—
1001C2×D53—21no—
1002C2×D53—21no—
1003C2×D53—21no—
1004C2×D53—21no—
1005C2×D53—21no—
1006C2×D53—21no—
1007C2×D53—22no—
1008C2×D53—44no—
1009C2×D53—41no—
1010C2×D53—41no—
1011C2×D53—41no—
1012C2×D53—41no—
1013C2×D53—41no—
1014C2×D53—41no—
1015C2×D53—41no—
1016C2×D53—41no—
1017C2×D53—41no—
1018C2×D53—41no—
1019C2×D53—41no—
1020C2×D53—84no—
1021C2×D53—84no—
1022C2×D53—84no—
1023C2×D53—84no—
1024C2×D53—84no—
1025C2×D53—84no—
1026C2×D53—162no—
1027C2×D53—162no—
1028C2×D53D4212yes—
1029C4×C53—21no—
1030C4×C53—21no—
1031C4×C53—21no—
1032C4×C53—22no—
1033C4×C53—21no—
1034C4×C53—41no—
1035C4×C53—41no—
1036C4×C53—41no—
1037C4×C53C23×D411yescharacteristic
1038C4×C53C2×H(5,𝔽2)11yescharacteristic
1039Dic53—21no—
1040Dic53—21no—
1041Dic53—22no—
1042Dic53—21no—
1043Dic53—21no—
1044Dic53—41no—
1045Dic53—41no—
1046Dic53—41no—
1047Dic53D4212yes—
1048C2×#577—531no—
1049C22×AGL(1,ℤ/8)—531no—
1050#3487—531no—
1051#3484—531no—
1052#3275—531no—
1053#3275—531no—
1054#3275—531no—
1055#3275—531no—
1056#3274—531no—
1057#3274—531no—
1058#3274—531no—
1059#3274—531no—
1060#3268—531no—
1061#3268—531no—
1062#3268—531no—
1063#3268D5311yescharacteristic, complemented
1064#3265—531no—
1065#3265—531no—
1066#3265—531no—
1067#3265—531no—
1068#3155—531no—
1069#3058—531no—
1070#3054—531no—
1071#3043—531no—
1072#3041—531no—
1073#3010—531no—
1074#3008—531no—
1075#3005—531no—
1076#3003—531no—
1077#2949—531no—
1078#2930—531no—
1079C2×C53—41no—
1080C2×C53—42no—
1081C2×C53—41no—
1082C2×C53—81no—
1083C2×C53—81no—
1084C2×C53—81no—
1085C2×C53C2×D4211yescharacteristic
1086C2×C53#358511yescharacteristic
1087C2×C53#358511yescharacteristic
1088D53—22no—
1089D53—41no—
1090D53—41no—
1091D53—42no—
1092D53—81no—
1093D53—81no—
1094D53—81no—
1095C2×2−1+4—531no—
1096C2×H(5,𝔽2)—531no—
1097C22×#41—531no—
1098C23×D4—531no—
1099#577—1068no—
1100C2×#137—531no—
1101C2×#137—531no—
1102C2×#137—531no—
1103C2×AGL(1,ℤ/8)—531no—
1104C2×AGL(1,ℤ/8)—531no—
1105C2×AGL(1,ℤ/8)—531no—
1106C2×AGL(1,ℤ/8)—531no—
1107C2×AGL(1,ℤ/8)—531no—
1108C2×AGL(1,ℤ/8)—531no—
1109C2×AGL(1,ℤ/8)—531no—
1110C2×AGL(1,ℤ/8)—531no—
1111C2×AGL(1,ℤ/8)—531no—
1112C2×AGL(1,ℤ/8)—531no—
1113C2×AGL(1,ℤ/8)—531no—
1114C2×AGL(1,ℤ/8)—531no—
1115C2×AGL(1,ℤ/8)—1068no—
1116C2×AGL(1,ℤ/8)C2×D5311yescharacteristic, complemented
1117C2×#135—531no—
1118C2×#135—531no—
1119C2×#135C2×D5311yescharacteristic, complemented
1120C22×SD16—531no—
1121C22×SD16—531no—
1122C22×SD16—531no—
1123C22×SD16—531no—
1124C22×D8—531no—
1125C22×D8—531no—
1126C2×#131—531no—
1127C22×M16—531no—
1128#550—531no—
1129#550—531no—
1130#550—531no—
1131#550—1061no—
1132#550—1061no—
1133#550C2×D5311yescharacteristic, complemented
1134#548—531no—
1135#548—531no—
1136#548—531no—
1137#548—531no—
1138#548—1061no—
1139#548—1061no—
1140#546—531no—
1141#546—531no—
1142#546—531no—
1143#546—1061no—
1144#546—1061no—
1145#546C2×D5311yescharacteristic, complemented
1146D42—531no—
1147D42—531no—
1148D42—531no—
1149D42—531no—
1150D42—1061no—
1151D42—1061no—
1152#535—531no—
1153#535—531no—
1154#535—531no—
1155#535—531no—
1156#535—1061no—
1157#535—1061no—
1158#534—1061no—
1159#534—1061no—
1160#525—531no—
1161#525—531no—
1162#525—531no—
1163#525—1061no—
1164#525—1061no—
1165C2×#120—1061no—
1166C2×#120—1061no—
1167#519—531no—
1168#518—531no—
1169#496—531no—
1170#496—531no—
1171#496—531no—
1172#496C2×D5311yescharacteristic, complemented
1173#495—531no—
1174#495—531no—
1175#493—531no—
1176#493—531no—
1177#470—531no—
1178#470—531no—
1179#469—531no—
1180#469—531no—
1181#469—531no—
1182#469—531no—
1183#469—531no—
1184#469—531no—
1185#468—531no—
1186#468—531no—
1187#468—531no—
1188#468C2×D5311yescharacteristic, complemented
1189#466—531no—
1190#466—531no—
1191#466—531no—
1192#466C2×D5311yescharacteristic, complemented
1193#464—531no—
1194#464—531no—
1195#464—531no—
1196#464C2×D5311yescharacteristic, complemented
1197#463—531no—
1198#463—531no—
1199#463—531no—
1200#463—531no—
1201#460—531no—
1202#460—531no—
1203#460—531no—
1204#460—531no—
1205#459—531no—
1206#459—531no—
1207#459—531no—
1208#459C2×D5311yescharacteristic, complemented
1209#452—531no—
1210#452—531no—
1211#452—531no—
1212#452C2×D5311yescharacteristic, complemented
1213#450—531no—
1214#450—531no—
1215#450—531no—
1216#450—531no—
1217#449—531no—
1218#449—531no—
1219#449—531no—
1220#449—531no—
1221#449—531no—
1222#449—531no—
1223#449—531no—
1224#449—531no—
1225#449—531no—
1226#449—531no—
1227#449C2×D5311yescharacteristic, complemented
1228#449C2×D5311yescharacteristic, complemented
1229#448—531no—
1230#448—531no—
1231#448—531no—
1232#448—531no—
1233#447—531no—
1234#447—531no—
1235#447—531no—
1236#447—531no—
1237#447—531no—
1238#447—531no—
1239#447—531no—
1240#447C2×D5311yescharacteristic, complemented
1241#440—531no—
1242#440—531no—
1243#440—531no—
1244#440C2×D5311yescharacteristic, complemented
1245C4×SD16—531no—
1246C4×SD16—531no—
1247C4×SD16—531no—
1248C4×SD16—531no—
1249#436—531no—
1250#436—531no—
1251#436—531no—
1252#436—531no—
1253#435—531no—
1254#435—531no—
1255#435—531no—
1256#435C2×D5311yescharacteristic, complemented
1257#427—531no—
1258#424—531no—
1259#419—531no—
1260#418—531no—
1261#418—531no—
1262#418—531no—
1263#416—531no—
1264#416—531no—
1265#408—531no—
1266#407—531no—
1267#405—531no—
1268C53#6105911yescharacteristic, complemented, Sylow
1269C25—1061no—
12702−1+4—1064no—
12712−1+4—2122no—
1272H(5,𝔽2)—1064no—
1273H(5,𝔽2)—2122no—
1274C2×#41—531no—
1275C2×#41—531no—
1276C2×#41—531no—
1277C2×#41—531no—
1278C2×#41—531no—
1279C2×#41—531no—
1280C2×#41—531no—
1281C2×#41—531no—
1282C2×#41—1061no—
1283C2×#41—1061no—
1284C2×#41—1061no—
1285C2×#41—1061no—
1286C2×#41—1061no—
1287C2×#41—1061no—
1288C2×#41—1064no—
1289C2×#41—2122no—
1290C2×#41C22×D5311yescharacteristic
1291C2×#41C22×D5311yescharacteristic
1292C2×#41C22×D5311yescharacteristic, complemented
1293C22×Q8—531no—
1294C22×Q8—531no—
1295C22×Q8—531no—
1296C22×Q8—1061no—
1297C22×D4—531no—
1298C22×D4—531no—
1299C22×D4—531no—
1300C22×D4—531no—
1301C22×D4—531no—
1302C22×D4—531no—
1303C22×D4—531no—
1304C22×D4—531no—
1305C22×D4—1061no—
1306C22×D4—1061no—
1307C22×D4—1061no—
1308C22×D4—1061no—
1309C22×D4—1061no—
1310C22×D4—1064no—
1311C22×D4—1061no—
1312C22×D4—1061no—
1313C22×D4—1061no—
1314C22×D4—1061no—
1315C22×D4—1061no—
1316C22×D4—1061no—
1317C22×D4—2122no—
1318C22×D4C22×D5311yescharacteristic
1319C23×C4—531no—
1320C23×C4—1061no—
1321#137—1064no—
1322#137—1064no—
1323#137—1064no—
1324AGL(1,ℤ/8)—24no—
1325AGL(1,ℤ/8)—1064no—
1326AGL(1,ℤ/8)—1064no—
1327AGL(1,ℤ/8)—1064no—
1328AGL(1,ℤ/8)—1064no—
1329AGL(1,ℤ/8)—1064no—
1330AGL(1,ℤ/8)—1064no—
1331AGL(1,ℤ/8)—1064no—
1332AGL(1,ℤ/8)—1064no—
1333AGL(1,ℤ/8)—1064no—
1334AGL(1,ℤ/8)—1064no—
1335AGL(1,ℤ/8)—2122no—
1336AGL(1,ℤ/8)—2122no—
1337#135—24no—
1338#135—1064no—
1339#135—1064no—
1340C2×Q16—531no—
1341C2×Q16—531no—
1342C2×Q16C22×D5311yescharacteristic, complemented
1343C2×SD16—531no—
1344C2×SD16—531no—
1345C2×SD16—538no—
1346C2×SD16—531no—
1347C2×SD16—531no—
1348C2×SD16—531no—
1349C2×SD16—531no—
1350C2×SD16—531no—
1351C2×SD16—531no—
1352C2×SD16—531no—
1353C2×SD16—531no—
1354C2×SD16—531no—
1355C2×SD16—531no—
1356C2×SD16—531no—
1357C2×SD16—531no—
1358C2×SD16—1064no—
1359C2×SD16—1064no—
1360C2×SD16—1064no—
1361C2×SD16C22×D5311yescharacteristic
1362C2×SD16C22×D5311yescharacteristic
1363C2×SD16C22×D5311yescharacteristic, complemented
1364C2×SD16C22×D5311yescharacteristic, complemented
1365C2×D8—531no—
1366C2×D8—531no—
1367C2×D8—531no—
1368C2×D8—531no—
1369C2×D8—531no—
1370C2×D8—531no—
1371C2×D8—531no—
1372C2×D8—531no—
1373C2×D8—531no—
1374C2×D8—531no—
1375C2×D8—531no—
1376C2×D8—1064no—
1377C2×D8—1064no—
1378C2×D8C22×D5311yescharacteristic
1379C2×D8C22×D5311yescharacteristic
1380C2×D8C22×D5311yescharacteristic
1381C2×D8C22×D5311yescharacteristic
1382#131—1064no—
1383C2×M16—531no—
1384C2×M16—531no—
1385C2×M16—531no—
1386C2×M16—531no—
1387C2×M16—531no—
1388C2×M16—531no—
1389C2×M16—531no—
1390C2×M16—1064no—
1391C2×M16C22×D5311yescharacteristic
1392C22×C8—531no—
1393C22×C8—531no—
1394C22×C8—531no—
1395C22×C8C22×D5311yescharacteristic, complemented
1396#127—21no—
1397#127—531no—
1398#127—531no—
1399#127—531no—
1400#127—1061no—
1401#127—1061no—
1402#127—1061no—
1403#127—1061no—
1404#127—1061no—
1405#127C22×D5311yescharacteristic, complemented
1406#124—531no—
1407#124—531no—
1408#124—531no—
1409#124—1061no—
1410#124—1061no—
1411#124—1061no—
1412#124—1061no—
1413#124—1061no—
1414#124—1061no—
1415#124C22×D5311yescharacteristic
1416#123—21no—
1417#123—531no—
1418#123—531no—
1419#123—1061no—
1420#123—1061no—
1421#123—1061no—
1422#123—1061no—
1423#123—1061no—
1424C22⋊Q8—531no—
1425C22⋊Q8—531no—
1426C22⋊Q8—531no—
1427C22⋊Q8—531no—
1428C22⋊Q8—531no—
1429C22⋊Q8—1061no—
1430C22⋊Q8—1061no—
1431C22⋊Q8—1061no—
1432C22⋊Q8—1061no—
1433C22⋊Q8C22×D5311yescharacteristic
1434#121—21no—
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—531no—
1446#121—531no—
1447#121—531no—
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#121—1061no—
1462#121—1061no—
1463#121—1061no—
1464#121—1061no—
1465#121—1061no—
1466#121—1061no—
1467#121—1061no—
1468#121—1061no—
1469#121C22×D5311yescharacteristic
1470#121C22×D5311yescharacteristic
1471#121C22×D5311yescharacteristic, complemented
1472#120—21no—
1473#120—531no—
1474#120—531no—
1475#120—1061no—
1476#120—1061no—
1477#120—1061no—
1478#120—1061no—
1479#120—1061no—
1480#120—1061no—
1481#120—1061no—
1482#120—1061no—
1483#120—1061no—
1484#120—1061no—
1485#120—1061no—
1486#120—1061no—
1487#120—1061no—
1488#120—1061no—
1489#120—1061no—
1490#120—1061no—
1491#120—1061no—
1492#120—1061no—
1493#120—1061no—
1494#120—1061no—
1495#120—1061no—
1496C4×Q8—531no—
1497C4×Q8—531no—
1498C4×Q8—531no—
1499C4×Q8—1061no—
1500C4×Q8—1061no—
1501C4×Q8C22×D5311yescharacteristic, complemented
1502C4×D4—21no—
1503C4×D4—531no—
1504C4×D4—531no—
1505C4×D4—531no—
1506C4×D4—531no—
1507C4×D4—531no—
1508C4×D4—531no—
1509C4×D4—1061no—
1510C4×D4—1061no—
1511C4×D4—1061no—
1512C4×D4—1061no—
1513C4×D4—1061no—
1514C4×D4—1061no—
1515C4×D4—1061no—
1516C4×D4—1061no—
1517C4×D4—1061no—
1518C4×D4—1061no—
1519C4×D4—1061no—
1520C4×D4—1061no—
1521C4×D4—1061no—
1522C4×D4C22×D5311yescharacteristic
1523C4×D4C22×D5311yescharacteristic
1524#117—531no—
1525#117—531no—
1526#117—531no—
1527#117—1061no—
1528#117—1061no—
1529C2×C22⋊C4—21no—
1530C2×C22⋊C4—1061no—
1531C2×C22⋊C4—1061no—
1532C2×C22⋊C4—1061no—
1533C2×C22⋊C4—1061no—
1534C2×C22⋊C4—1061no—
1535#107—531no—
1536#107C22×D5311yescharacteristic, complemented
1537#106—531no—
1538#106—531no—
1539C4⋊C8—531no—
1540C4⋊C8—531no—
1541C4⋊C8—531no—
1542C4⋊C8C22×D5311yescharacteristic, complemented
1543#103—531no—
1544#103—531no—
1545#103—531no—
1546#103—531no—
1547#103—531no—
1548#103—531no—
1549#103C22×D5311yescharacteristic, complemented
1550#103C22×D5311yescharacteristic, complemented
1551#102—531no—
1552#102—531no—
1553#102—531no—
1554#102—531no—
1555#102—531no—
1556#102—531no—
1557#102—531no—
1558#102—531no—
1559#102—531no—
1560#102—531no—
1561#102—531no—
1562#102—531no—
1563#102C22×D5311yescharacteristic
1564#102C22×D5311yescharacteristic
1565#102C22×D5311yescharacteristic, complemented
1566#102C22×D5311yescharacteristic, complemented
1567C22⋊C8—531no—
1568C22⋊C8—531no—
1569C22⋊C8—531no—
1570C22⋊C8—531no—
1571C22⋊C8—531no—
1572C22⋊C8—531no—
1573C22⋊C8C22×D5311yescharacteristic
1574C22⋊C8C22×D5311yescharacteristic, complemented
1575#97—531no—
1576#97C22×D5311yescharacteristic, complemented
1577C4×C8—531no—
1578C4×C8—531no—
1579C24—21no—
1580C24—531no—
1581C24—1061no—
1582C24—1061no—
1583C24—1061no—
1584C24—1061no—
1585C24—1061no—
1586C24—1061no—
1587C24—1061no—
1588C24—1061no—
1589C24—4242no—
1590C24—4242no—
1591C24—2124no—
1592#41—22no—
1593#41—22no—
1594#41—22no—
1595#41—41no—
1596#41—41no—
1597#41—41no—
1598#41—1062no—
1599#41—1062no—
1600#41—1062no—
1601#41—1062no—
1602#41—1062no—
1603#41—1062no—
1604#41—1062no—
1605#41—1062no—
1606#41—1062no—
1607#41—1062no—
1608#41—1062no—
1609#41—2121no—
1610#41—2124no—
1611#41—2124no—
1612#41—2124no—
1613#41—2121no—
1614#41—2121no—
1615#41—2124no—
1616#41—2124no—
1617#41—2121no—
1618#41—2121no—
1619#41—2124no—
1620C2×Q8—531no—
1621C2×Q8—534no—
1622C2×Q8—531no—
1623C2×Q8—531no—
1624C2×Q8—1061no—
1625C2×Q8—1061no—
1626C2×Q8—1062no—
1627C2×Q8—1062no—
1628C2×Q8—1061no—
1629C2×Q8—1062no—
1630C2×Q8—2121no—
1631C2×Q8—2124no—
1632C2×Q8—2121no—
1633C2×Q8C23×D5311yescharacteristic
1634C2×Q8C23×D5311yescharacteristic
1635C2×D4—22no—
1636C2×D4—21no—
1637C2×D4—21no—
1638C2×D4—21no—
1639C2×D4—21no—
1640C2×D4—21no—
1641C2×D4—21no—
1642C2×D4—21no—
1643C2×D4—21no—
1644C2×D4—21no—
1645C2×D4—41no—
1646C2×D4—534no—
1647C2×D4—531no—
1648C2×D4—531no—
1649C2×D4—531no—
1650C2×D4—531no—
1651C2×D4—531no—
1652C2×D4—531no—
1653C2×D4—531no—
1654C2×D4—531no—
1655C2×D4—531no—
1656C2×D4—531no—
1657C2×D4—1062no—
1658C2×D4—1062no—
1659C2×D4—1061no—
1660C2×D4—1061no—
1661C2×D4—1061no—
1662C2×D4—1061no—
1663C2×D4—1061no—
1664C2×D4—1061no—
1665C2×D4—1062no—
1666C2×D4—1062no—
1667C2×D4—1062no—
1668C2×D4—1062no—
1669C2×D4—1062no—
1670C2×D4—1061no—
1671C2×D4—1061no—
1672C2×D4—1061no—
1673C2×D4—1061no—
1674C2×D4—1061no—
1675C2×D4—1061no—
1676C2×D4—1061no—
1677C2×D4—1061no—
1678C2×D4—1061no—
1679C2×D4—1061no—
1680C2×D4—1062no—
1681C2×D4—1062no—
1682C2×D4—1062no—
1683C2×D4—1061no—
1684C2×D4—1061no—
1685C2×D4—1061no—
1686C2×D4—1061no—
1687C2×D4—1061no—
1688C2×D4—1061no—
1689C2×D4—1061no—
1690C2×D4—1061no—
1691C2×D4—1061no—
1692C2×D4—1061no—
1693C2×D4—1061no—
1694C2×D4—1061no—
1695C2×D4—1061no—
1696C2×D4—1061no—
1697C2×D4—4242no—
1698C2×D4—4242no—
1699C2×D4—4242no—
1700C2×D4—4242no—
1701C2×D4—2121no—
1702C2×D4—2121no—
1703C2×D4—2124no—
1704C2×D4—2121no—
1705C2×D4—2121no—
1706C2×D4—2121no—
1707C2×D4—2124no—
1708C2×D4—2124no—
1709C2×D4—2124no—
1710C2×D4—2124no—
1711C2×D4—2124no—
1712C2×D4—2124no—
1713C2×D4D4×D5311yescharacteristic
1714C2×D4C23×D5311yescharacteristic
1715C2×D4C23×D5311yescharacteristic
1716C2×D4C23×D5311yescharacteristic
1717C2×D4C23×D5311yescharacteristic
1718C22×C4—21no—
1719C22×C4—21no—
1720C22×C4—21no—
1721C22×C4—21no—
1722C22×C4—531no—
1723C22×C4—531no—
1724C22×C4—531no—
1725C22×C4—531no—
1726C22×C4—531no—
1727C22×C4—531no—
1728C22×C4—1062no—
1729C22×C4—1062no—
1730C22×C4—1061no—
1731C22×C4—1061no—
1732C22×C4—1061no—
1733C22×C4—1061no—
1734C22×C4—1061no—
1735C22×C4—1061no—
1736C22×C4—1061no—
1737C22×C4—1061no—
1738C22×C4—1061no—
1739C22×C4—1061no—
1740C22×C4—1061no—
1741C22×C4—1061no—
1742C22×C4—1061no—
1743C22×C4—2124no—
1744C22×C4C23×D5311yescharacteristic
1745C22×C4C23×D5311yescharacteristic
1746Q16—22no—
1747Q16—1062no—
1748Q16—1062no—
1749SD16—22no—
1750SD16—22no—
1751SD16—41no—
1752SD16—534no—
1753SD16—534no—
1754SD16—534no—
1755SD16—1062no—
1756SD16—1062no—
1757SD16—1062no—
1758SD16—1062no—
1759SD16—1062no—
1760SD16—1062no—
1761SD16—1062no—
1762SD16—1062no—
1763SD16—2121no—
1764SD16—2121no—
1765SD16—2121no—
1766SD16D4×D5314yescomplemented
1767D8—22no—
1768D8—22no—
1769D8—22no—
1770D8—41no—
1771D8—1062no—
1772D8—1062no—
1773D8—1062no—
1774D8—1062no—
1775D8—1062no—
1776D8—1062no—
1777D8—1062no—
1778D8—1062no—
1779D8—2121no—
1780D8—2121no—
1781D8—2121no—
1782M16—22no—
1783M16—1062no—
1784M16—1062no—
1785M16—1062no—
1786M16—1062no—
1787M16—1062no—
1788M16—1062no—
1789M16—1062no—
1790C2×C8—22no—
1791C2×C8—531no—
1792C2×C8—534no—
1793C2×C8—531no—
1794C2×C8—531no—
1795C2×C8—531no—
1796C2×C8—1062no—
1797C2×C8—1062no—
1798C2×C8C23×D5311yescharacteristic
1799C2×C8C23×D5311yescharacteristic
1800C2×C8C23×D5311yescharacteristic
1801C2×C8C23×D5311yescharacteristic
1802C4⋊C4—21no—
1803C4⋊C4—21no—
1804C4⋊C4—531no—
1805C4⋊C4—531no—
1806C4⋊C4—531no—
1807C4⋊C4—531no—
1808C4⋊C4—531no—
1809C4⋊C4—531no—
1810C4⋊C4—531no—
1811C4⋊C4—1061no—
1812C4⋊C4—1061no—
1813C4⋊C4—1061no—
1814C4⋊C4—1061no—
1815C4⋊C4—1061no—
1816C4⋊C4—1061no—
1817C4⋊C4D4×D5311yescharacteristic
1818C4⋊C4C23×D5311yescharacteristic
1819C4⋊C4C23×D5311yescharacteristic
1820C22⋊C4—21no—
1821C22⋊C4—21no—
1822C22⋊C4—21no—
1823C22⋊C4—21no—
1824C22⋊C4—21no—
1825C22⋊C4—21no—
1826C22⋊C4—21no—
1827C22⋊C4—531no—
1828C22⋊C4—531no—
1829C22⋊C4—531no—
1830C22⋊C4—531no—
1831C22⋊C4—531no—
1832C22⋊C4—531no—
1833C22⋊C4—531no—
1834C22⋊C4—531no—
1835C22⋊C4—1061no—
1836C22⋊C4—1061no—
1837C22⋊C4—1061no—
1838C22⋊C4—1061no—
1839C22⋊C4—1061no—
1840C22⋊C4—1061no—
1841C22⋊C4—1061no—
1842C22⋊C4—1061no—
1843C22⋊C4—1061no—
1844C22⋊C4—1061no—
1845C22⋊C4—1061no—
1846C22⋊C4—1061no—
1847C22⋊C4—1061no—
1848C22⋊C4—1061no—
1849C22⋊C4—1061no—
1850C22⋊C4—1061no—
1851C22⋊C4—1061no—
1852C22⋊C4—1061no—
1853C22⋊C4—1061no—
1854C22⋊C4—1061no—
1855C22⋊C4—1061no—
1856C22⋊C4—1061no—
1857C22⋊C4—1061no—
1858C22⋊C4D4×D5311yescharacteristic
1859C22⋊C4D4×D5311yescharacteristic
1860C42—21no—
1861C42—531no—
1862C42—1061no—
1863C42—1061no—
1864C42—1061no—
1865C42—1061no—
1866C42—1061no—
1867C42C23×D5311yescharacteristic
1868C23—21no—
1869C23—21no—
1870C23—21no—
1871C23—21no—
1872C23—42no—
1873C23—42no—
1874C23—81no—
1875C23—531no—
1876C23—531no—
1877C23—531no—
1878C23—1064no—
1879C23—1062no—
1880C23—1061no—
1881C23—1061no—
1882C23—1061no—
1883C23—1061no—
1884C23—4241no—
1885C23—4241no—
1886C23—4241no—
1887C23—4241no—
1888C23—4241no—
1889C23—4241no—
1890C23—4241no—
1891C23—4241no—
1892C23—4241no—
1893C23—4241no—
1894C23—4241no—
1895C23—4241no—
1896C23—4241no—
1897C23—42416no—
1898C23—2122no—
1899C23—2122no—
1900C23—2121no—
1901C23—2121no—
1902C23—2122no—
1903C23—2122no—
1904C23—2122no—
1905C23—2122no—
1906C23—2122no—
1907C23—2122no—
1908C23—2122no—
1909C23—2122no—
1910C23C2×D4×D5311yescharacteristic
1911C23C2×D4×D5311yescharacteristic
1912Q8—21no—
1913Q8—21no—
1914Q8—21no—
1915Q8—532no—
1916Q8—1064no—
1917Q8—1062no—
1918Q8—1061no—
1919Q8—1061no—
1920Q8—1061no—
1921Q8—2122no—
1922Q8—2122no—
1923Q8C2×D4×D5312yes—
1924D4—21no—
1925D4—21no—
1926D4—21no—
1927D4—21no—
1928D4—21no—
1929D4—21no—
1930D4—21no—
1931D4—41no—
1932D4—42no—
1933D4—42no—
1934D4—42no—
1935D4—42no—
1936D4—81no—
1937D4—81no—
1938D4—81no—
1939D4—81no—
1940D4—81no—
1941D4—532no—
1942D4—1062no—
1943D4—1064no—
1944D4—1062no—
1945D4—1062no—
1946D4—1061no—
1947D4—1061no—
1948D4—1061no—
1949D4—1061no—
1950D4—1061no—
1951D4—1061no—
1952D4—1061no—
1953D4—4241no—
1954D4—4241no—
1955D4—4241no—
1956D4—4241no—
1957D4—4241no—
1958D4—4241no—
1959D4—4241no—
1960D4—4241no—
1961D4—4241no—
1962D4—4241no—
1963D4—4241no—
1964D4—4241no—
1965D4—4241no—
1966D4—2121no—
1967D4—2122no—
1968D4—2122no—
1969D4—2122no—
1970D4—2122no—
1971D4—2122no—
1972D4—2122no—
1973D4—2122no—
1974D4—2122no—
1975D4—2121no—
1976D4—2121no—
1977D4—2122no—
1978D4—2122no—
1979D4—2122no—
1980D4—2122no—
1981D4—2122no—
1982D4—2122no—
1983D4—2122no—
1984D4—2122no—
1985D4C2×D4×D5312yes—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—21no—
1992C2×C4—21no—
1993C2×C4—21no—
1994C2×C4—42no—
1995C2×C4—42no—
1996C2×C4—42no—
1997C2×C4—81no—
1998C2×C4—531no—
1999C2×C4—532no—
2000C2×C4—532no—
2001C2×C4—531no—
2002C2×C4—531no—
2003C2×C4—531no—
2004C2×C4—531no—
2005C2×C4—1062no—
2006C2×C4—1062no—
2007C2×C4—1064no—
2008C2×C4—1062no—
2009C2×C4—1061no—
2010C2×C4—1061no—
2011C2×C4—1061no—
2012C2×C4—1061no—
2013C2×C4—1061no—
2014C2×C4—1061no—
2015C2×C4—1061no—
2016C2×C4—1061no—
2017C2×C4—4241no—
2018C2×C4—4241no—
2019C2×C4—4241no—
2020C2×C4—2122no—
2021C2×C4—2122no—
2022C2×C4—2122no—
2023C2×C4—2122no—
2024C2×C4—2122no—
2025C2×C4—2122no—
2026C2×C4—2122no—
2027C2×C4—2122no—
2028C2×C4—2122no—
2029C2×C4C2×D4×D5311yescharacteristic
2030C2×C4C2×D4×D5311yescharacteristic
2031C2×C4C2×D4×D5311yescharacteristic
2032C2×C4C2×D4×D5311yescharacteristic
2033C2×C4C24×D5311yescharacteristic
2034C8—21no—
2035C8—21no—
2036C8—21no—
2037C8—532no—
2038C8—1061no—
2039C8—1061no—
2040C8—1061no—
2041C8C2×D4×D5312yes—
2042C22—21no—
2043C22—21no—
2044C22—22no—
2045C22—21no—
2046C22—21no—
2047C22—21no—
2048C22—21no—
2049C22—41no—
2050C22—41no—
2051C22—41no—
2052C22—41no—
2053C22—41no—
2054C22—41no—
2055C22—41no—
2056C22—41no—
2057C22—41no—
2058C22—41no—
2059C22—41no—
2060C22—84no—
2061C22—532no—
2062C22—8482no—
2063C22—8482no—
2064C22—1061no—
2065C22—1061no—
2066C22—1061no—
2067C22—1061no—
2068C22—1062no—
2069C22—1061no—
2070C22—1061no—
2071C22—1061no—
2072C22—1061no—
2073C22—4244no—
2074C22—4244no—
2075C22—4244no—
2076C22—4244no—
2077C22—4244no—
2078C22—4244no—
2079C22—2124no—
2080C22—2121no—
2081C22—2121no—
2082C22—2121no—
2083C22—2121no—
2084C22—2121no—
2085C22—2121no—
2086C22—2121no—
2087C22—2121no—
2088C22—2121no—
2089C22—2121no—
2090C22—2121no—
2091C22C22×D4×D5311yescharacteristic
2092C4—21no—
2093C4—21no—
2094C4—22no—
2095C4—21no—
2096C4—21no—
2097C4—41no—
2098C4—41no—
2099C4—41no—
2100C4—532no—
2101C4—1061no—
2102C4—1061no—
2103C4—1062no—
2104C4—1061no—
2105C4—1061no—
2106C4—2121no—
2107C4—2121no—
2108C4—2121no—
2109C4C22×D4×D5311yescharacteristic
2110C4H(5,𝔽2)×D5311yescharacteristic
2111C2—41no—
2112C2—41no—
2113C2—42no—
2114C2—81no—
2115C2—81no—
2116C2—81no—
2117C2—1062no—
2118C2—4241no—
2119C2—4241no—
2120C2—4241no—
2121C2—2121no—
2122C2—2122no—
2123C2—2121no—
2124C2D42×D5311yescharacteristic
2125C2#2028949011yescharacteristic
2126C2#2028949211yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3268C2
socleC22×C53C23×D4
hypercenter#3268D53
hypocenterC53#61059
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. C2×#16811430C2semidirect
2. C2×AGL(1,ℤ/8)×D53C2semidirect
3. #20288368C2semidirect
4. #20288345C2semidirect
5. #20286344C2semidirect
6. #20286342C2semidirect
7. #20286341C2semidirect
8. #20286339C2semidirect
9. #20286338C2semidirect
10. #20286335C2semidirect
11. #20286333C2semidirect
12. #20286328C2semidirect
13. #20286262C2semidirect
14. #20286255C2semidirect
15. #20286254C2semidirect
16. #20286215C2semidirect
17. #20286212C2semidirect
18. #20286207C2semidirect
19. #20286204C2semidirect
20. #20285199C2semidirect
21. #20284358C2semidirect
22. #20284319C2semidirect
23. #20284234C2semidirect
24. #20284213C2semidirect
25. #20283998C2semidirect
26. #20283980C2semidirect
27. #20283958C2semidirect
28. #20283939C2semidirect
29. #20283571C2semidirect
30. #20283413C2semidirect
31. C53×#3268C2semidirect
32. C2×#13133264C22semidirect
34. C2×#41×D53C22semidirect
37. C2×#13133249C22semidirect
38. C2×#13133249C22semidirect
39. C2×#13133247C22semidirect
40. C2×#13133245C22semidirect
41. C2×#13133244C22semidirect
42. C2×#13133244C22semidirect
43. C2×#13133244C22semidirect
44. C2×#13133243C22semidirect
45. C2×#13133242C22semidirect
46. C2×#13133242C22semidirect
48. C2×#13133241C22semidirect
49. C2×#13133241C22semidirect
50. C2×#13133241C22semidirect
51. C2×#13133241C22semidirect
53. C2×#13133238C22semidirect
54. C2×#13133238C22semidirect
55. C22×#11719913C22semidirect
57. C2×SD16×D53C22semidirect
58. C2×SD16×D53C22semidirect
60. C2×D8×D53C22semidirect
61. C2×#13133223C22semidirect
62. C2×M16×D53C22semidirect
64. #16811293C22semidirect
65. #16811292C22semidirect
67. #16811291C22semidirect
68. #16811285C22semidirect
70. #16811282C22semidirect
71. #16811280C22semidirect
73. #16811279C22semidirect
74. #16811266C22semidirect
76. #16811264C22semidirect
78. #16811261C22semidirect
79. D4×D212C22semidirect
80. D4×D212C22semidirect
82. #16811257C22semidirect
83. D4×C22⋊D53C22semidirect
88. #16811189C22semidirect
90. #16811186C22semidirect
95. #16811133C22semidirect
100. #16811099C22semidirect
102. #16811012C22semidirect
103. #16811011C22semidirect
104. #16811009C22semidirect
105. #16811005C22semidirect
106. #16811004C22semidirect
107. #16810999C22semidirect
108. #16810998C22semidirect
109. #16810880C22semidirect
110. #16810879C22semidirect
111. #16810875C22semidirect
112. #16810875C22semidirect
113. #16810875C22semidirect
114. #16810874C22semidirect
115. #16810874C22semidirect
116. #16810874C22semidirect
117. #16810870C22semidirect
118. #16810869C22semidirect
119. #16810866C22semidirect
120. #16810860C22semidirect
121. #16810859C22semidirect
122. #16810856C22semidirect
123. #16810848C22semidirect
124. #16810847C22semidirect
125. #16810842C22semidirect
126. #16810839C22semidirect
127. #16810838C22semidirect
128. #16810837C22semidirect
129. #16810836C22semidirect
130. #16810824C22semidirect
131. #16810823C22semidirect
132. #16810822C22semidirect
133. #16810821C22semidirect
134. #16810817C22semidirect
135. #16810816C22semidirect
136. #16810815C22semidirect
137. #16810784C22semidirect
138. #16810783C22semidirect
139. #16810782C22semidirect
140. #16810776C22semidirect
141. #16810775C22semidirect
142. #16810775C22semidirect
143. #16810774C22semidirect
144. #16810771C22semidirect
145. #16810771C22semidirect
146. #16810770C22semidirect
147. #16810769C22semidirect
148. #16810769C22semidirect
149. #16810768C22semidirect
150. #16810768C22semidirect
151. #16810768C22semidirect
152. #16810767C22semidirect
153. #16810765C22semidirect
154. #16810764C22semidirect
155. #16810763C22semidirect
156. #16810761C22semidirect
157. #16810760C22semidirect
158. #16810759C22semidirect
159. #16810758C22semidirect
160. #16810756C22semidirect
161. #16810756C22semidirect
162. #16810755C22semidirect
163. #16810755C22semidirect
164. #16810755C22semidirect
165. #16810725C22semidirect
166. #16810724C22semidirect
167. #16810722C22semidirect
168. #16810714C22semidirect
169. C4×#11719924C22semidirect
170. C4×#11719923C22semidirect
171. #16810708C22semidirect
172. #16810701C22semidirect
173. #16810700C22semidirect
174. #16810698C22semidirect
175. #16810698C22semidirect
176. #16810696C22semidirect
177. #16810694C22semidirect
178. #16810692C22semidirect
179. #16810660C22semidirect
180. #16810648C22semidirect
181. #16810630C22semidirect
183. #16810626C22semidirect
184. #16810626C22semidirect
185. #16810618C22semidirect
186. #16810616C22semidirect
187. #16810588C22semidirect
188. #16810585C22semidirect
189. #16810580C22semidirect
190. C2×AGL(1,ℤ/8)×C53C22semidirect
191. C2×#135×C53C22semidirect
192. C53×#550C22semidirect
193. C53×#546C22semidirect
194. C53×#496C22semidirect
195. C53×#468C22semidirect
196. C53×#466C22semidirect
197. C53×#464C22semidirect
198. C53×#459C22semidirect
199. C53×#452C22semidirect
200. C53×#449C22semidirect
201. C53×#449C22semidirect
202. C53×#447C22semidirect
203. C53×#440C22semidirect
204. C53×#435C22semidirect
223. C2×#11719947C23semidirect
227. C22×Dic106C23semidirect
229. C2×Q8×D53C23semidirect
270. C2×#11719925C23semidirect
271. C2×#11719925C23semidirect
277. C2×#11719913C23semidirect
278. C2×#11719913C23semidirect
285. C2×#11719924C23semidirect
286. C2×#11719924C23semidirect
289. SD16×D53D4semidirect
292. C2×D424C23semidirect
299. C2×#11719922C23semidirect
300. C2×#11719922C23semidirect
305. C2×#11719917C23semidirect
310. C2×#11719912C23semidirect
314. C2×C8×D53C23semidirect
322. #13133213C23semidirect
325. #13133205C23semidirect
327. #13133204C23semidirect
353. #13133192C23semidirect
358. #13133191C23semidirect
379. #13133188C23semidirect
403. Q8×Dic53C23semidirect
405. C4×Dic106C23semidirect
407. #13133182C23semidirect
437. #13133151C23semidirect
438. #13133148C23semidirect
439. #13133148C23semidirect
440. C4⋊#88322C23semidirect
441. #13133146C23semidirect
442. #13133146C23semidirect
443. #13133142C23semidirect
444. #13133142C23semidirect
445. #13133141C23semidirect
446. #13133141C23semidirect
447. #13133140C23semidirect
448. #13133140C23semidirect
451. #13133139C23semidirect
452. #13133139C23semidirect
455. #13133138C23semidirect
456. #13133138C23semidirect
459. #13133137C23semidirect
460. #13133137C23semidirect
462. C22⋊#88322C23semidirect
465. #13133129C23semidirect
466. #13133129C23semidirect
467. #13133127C23semidirect
468. C4×#88322C23semidirect
469. C8×Dic53C23semidirect
472. C2×#41×C53C23semidirect
476. C2×Q16×C53C23semidirect
479. C2×SD16×C53C23semidirect
480. C2×SD16×C53C23semidirect
486. C22×C8×C53C23semidirect
488. #127×C53C23semidirect
497. #121×C53C23semidirect
499. C4×Q8×C53C23semidirect
504. #107×C53C23semidirect
505. C4⋊C8×C53C23semidirect
506. #103×C53C23semidirect
507. #103×C53C23semidirect
510. #102×C53C23semidirect
511. #102×C53C23semidirect
513. C22⋊C8×C53C23semidirect
514. #97×C53C23semidirect
599. Q8×D53C2×D4semidirect
686. SD16×C53C2×D4semidirect
727. #11719924C2×D4semidirect
731. #11719923C2×D4semidirect
795. #11719913C2×D4semidirect
803. C8×D53C2×D4semidirect
1063. #3268D53semidirect
1116. C2×AGL(1,ℤ/8)C2×D53semidirect
1119. C2×#135C2×D53semidirect
1133. #550C2×D53semidirect
1145. #546C2×D53semidirect
1172. #496C2×D53semidirect
1188. #468C2×D53semidirect
1192. #466C2×D53semidirect
1196. #464C2×D53semidirect
1208. #459C2×D53semidirect
1212. #452C2×D53semidirect
1227. #449C2×D53semidirect
1228. #449C2×D53semidirect
1240. #447C2×D53semidirect
1244. #440C2×D53semidirect
1256. #435C2×D53semidirect
1268. C53#61059semidirect
1292. C2×#41C22×D53semidirect
1342. C2×Q16C22×D53semidirect
1363. C2×SD16C22×D53semidirect
1364. C2×SD16C22×D53semidirect
1395. C22×C8C22×D53semidirect
1405. #127C22×D53semidirect
1471. #121C22×D53semidirect
1501. C4×Q8C22×D53semidirect
1536. #107C22×D53semidirect
1542. C4⋊C8C22×D53semidirect
1549. #103C22×D53semidirect
1550. #103C22×D53semidirect
1565. #102C22×D53semidirect
1566. #102C22×D53semidirect
1574. C22⋊C8C22×D53semidirect
1576. #97C22×D53semidirect
1766. SD16D4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168114302
C2×AGL(1,ℤ/8)×D532
#202883682
#202883452
#202863442
#202863422
#202863412
#202863392
#202863382
#202863352
#202863332
#202863282
#202862622
#202862552
#202862542
#202862152
#202862122
#202862072
#202862042
#202851992
#202843582
#202843192
#202842342
#202842132
#202839982
#202839802
#202839582
#202839392
#202835712
#202834132
C53×#32682
#6105953