Finite Group Databasebeta

← #28266961

Subgroups — #28266961

Order 13568.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288712C211yesmaximal, characteristic, complemented
2#20288672C211yesmaximal, characteristic, complemented
3#20287760C211yesmaximal, characteristic, complemented
4#20287639C211yesmaximal, characteristic, complemented
5#20287412C211yesmaximal, characteristic, complemented
6#20287347C211yesmaximal, characteristic, complemented
7#20287297C211yesmaximal, characteristic, complemented
8#20287219C211yesmaximal, characteristic, complemented
9#20287215C211yesmaximal, characteristic, complemented
10#20286661C211yesmaximal, characteristic, complemented
11#20286650C211yesmaximal, characteristic, complemented
12#20286567C211yesmaximal, characteristic, complemented
13#20286560C211yesmaximal, characteristic, complemented
14#20286523C211yesmaximal, characteristic, complemented
15#20286328C211yesmaximal, characteristic, complemented
16#20286256C211yesmaximal, characteristic, complemented
17#20286248C211yesmaximal, characteristic, complemented
18#20285405C211yesmaximal, characteristic, complemented
19#20285401C211yesmaximal, characteristic, complemented
20#20285289C211yesmaximal, characteristic, complemented
21#20284984C211yesmaximal, characteristic, complemented
22#20284970C211yesmaximal, characteristic, complemented
23#20284956C211yesmaximal, characteristic, complemented
24#20284954C211yesmaximal, characteristic, complemented
25#20284861C211yesmaximal, characteristic, complemented
26#20284859C211yesmaximal, characteristic, complemented
27#20283683C211yesmaximal, characteristic, complemented
28#20283550C211yesmaximal, characteristic, complemented
29#20283542C211yesmaximal, characteristic, complemented
30#20283483C211yesmaximal, characteristic, complemented
31C53×#3305C211yesmaximal, characteristic, complemented
32C2×#13133244C2211yescharacteristic
33C2×#13133242C2211yescharacteristic
34C2×#13133237C2211yescharacteristic
35#16811356C2211yescharacteristic
36#16811349C2211yescharacteristic, complemented
37#16811341C2211yescharacteristic
38#16811336C2211yescharacteristic
39#16811320—21no—
40#16811320C2211yescharacteristic, complemented
41#16811319—21no—
42#16811319C2211yescharacteristic, complemented
43#16811303—21no—
44#16811297—21no—
45#16811293—21no—
46#16811293C2211yescharacteristic, complemented
47#16811292C2211yescharacteristic
48#16811292C2211yescharacteristic, complemented
49#16811288C2211yescharacteristic
50#16811281—21no—
51#16811273—21no—
52#16811273C2211yescharacteristic
53#16811270C2211yescharacteristic
54#16811269C2211yescharacteristic
55#16811262—21no—
56#16811257C2211yescharacteristic
57#16811247C2211yescharacteristic
58#16811240C2211yescharacteristic
59#16811227—21no—
60#16811227C2211yescharacteristic, complemented
61#16811226—21no—
62#16811226C2211yescharacteristic, complemented
63#16811207—21no—
64#16811205—21no—
65#16811168—21no—
66#16811168C2211yescharacteristic
67#16811168C2211yescharacteristic, complemented
68#16811153—21no—
69#16811153C2211yescharacteristic
70#16811151—21no—
71#124×D53—21no—
72#16811106C2211yescharacteristic, complemented
73#16811105C2211yescharacteristic, complemented
74#16811097C2211yescharacteristic
75#16811095C2211yescharacteristic
76#41×Dic53C2211yescharacteristic, complemented
77#16811091C2211yescharacteristic
78#16811031C2211yescharacteristic, complemented
79#16811029C2211yescharacteristic, complemented
80#16811027C2211yescharacteristic, complemented
81#16811011C2211yescharacteristic, complemented
82#16811010C2211yescharacteristic, complemented
83#16810998C2211yescharacteristic
84#16810978C2211yescharacteristic, complemented
85#16810976C2211yescharacteristic, complemented
86#16810968C2211yescharacteristic
87#16810968C2211yescharacteristic, complemented
88#16810968C2211yescharacteristic, complemented
89#16810960C2211yescharacteristic, complemented
90#16810959C2211yescharacteristic, complemented
91#16810948C2211yescharacteristic, complemented
92#16810947C2211yescharacteristic, complemented
93#16810947C2211yescharacteristic, complemented
94#16810946C2211yescharacteristic, complemented
95#16810945C2211yescharacteristic, complemented
96#16810944C2211yescharacteristic, complemented
97#16810938C2211yescharacteristic
98#16810934C2211yescharacteristic
99#16810926C2211yescharacteristic
100#16810924C2211yescharacteristic
101#16810923C2211yescharacteristic, complemented
102#16810922C2211yescharacteristic, complemented
103#16810916C2211yescharacteristic, complemented
104#16810907C2211yescharacteristic, complemented
105#16810906C2211yescharacteristic, complemented
106#16810902C2211yescharacteristic
107#16810901C2211yescharacteristic, complemented
108#16810901C2211yescharacteristic, complemented
109#16810900C2211yescharacteristic, complemented
110#16810875C2211yescharacteristic
111#16810874C2211yescharacteristic
112#16810868C2211yescharacteristic, complemented
113#16810867C2211yescharacteristic, complemented
114#16810859C2211yescharacteristic, complemented
115#16810858C2211yescharacteristic
116#16810857C2211yescharacteristic, complemented
117#16810857C2211yescharacteristic, complemented
118#16810852C2211yescharacteristic, complemented
119#16810851C2211yescharacteristic, complemented
120#16810845C2211yescharacteristic, complemented
121#16810843C2211yescharacteristic, complemented
122#16810839C2211yescharacteristic, complemented
123#16810836C2211yescharacteristic, complemented
124#16810822C2211yescharacteristic, complemented
125#16810821C2211yescharacteristic
126#16810817C2211yescharacteristic
127#16810817C2211yescharacteristic
128#16810817C2211yescharacteristic, complemented
129#16810816C2211yescharacteristic
130#16810815C2211yescharacteristic
131#16810788C2211yescharacteristic, complemented
132#16810785C2211yescharacteristic, complemented
133#16810771C2211yescharacteristic
134#16810770C2211yescharacteristic
135#16810768C2211yescharacteristic, complemented
136#16810766C2211yescharacteristic
137#16810759C2211yescharacteristic
138#16810756C2211yescharacteristic
139#16810755C2211yescharacteristic
140#16810755C2211yescharacteristic
141#16810752C2211yescharacteristic, complemented
142C8×Dic106C2211yescharacteristic, complemented
143#16810735C2211yescharacteristic, complemented
144#16810734C2211yescharacteristic
145#16810733C2211yescharacteristic, complemented
146#16810732C2211yescharacteristic
147#16810732C2211yescharacteristic, complemented
148#16810732C2211yescharacteristic, complemented
149#16810726C2211yescharacteristic
150#16810726C2211yescharacteristic, complemented
151#16810724C2211yescharacteristic, complemented
152#16810722C2211yescharacteristic, complemented
153#16810721C2211yescharacteristic
154#16810720C2211yescharacteristic, complemented
155#16810715C2211yescharacteristic, complemented
156#16810715C2211yescharacteristic, complemented
157#16810714C2211yescharacteristic, complemented
158#16810714C2211yescharacteristic, complemented
159#16810708C2211yescharacteristic
160#16810708C2211yescharacteristic
161#16810708C2211yescharacteristic, complemented
162C4×D424C2211yescharacteristic
163D8×Dic53C2211yescharacteristic, complemented
164#16810705C2211yescharacteristic, complemented
165#16810703C2211yescharacteristic
166#16810703C2211yescharacteristic
167#16810703C2211yescharacteristic
168#16810703C2211yescharacteristic, complemented
169#16810703C2211yescharacteristic, complemented
170#16810698C2211yescharacteristic
171#16810695C2211yescharacteristic, complemented
172#16810691C2211yescharacteristic, complemented
173C8×C22⋊D53C2211yescharacteristic
174C8×C22⋊D53C2211yescharacteristic, complemented
175#16810683C2211yescharacteristic, complemented
176#16810681C2211yescharacteristic, complemented
177#16810677C2211yescharacteristic, complemented
178#16810666C2211yescharacteristic, complemented
179#16810662C2211yescharacteristic, complemented
180#16810659C2211yescharacteristic, complemented
181#16810620C2211yescharacteristic
182#16810618C2211yescharacteristic, complemented
183C2×#13133139C2211yescharacteristic
184#102×D53C2211yescharacteristic
185#16810578C2211yescharacteristic, complemented
186#16810577C2211yescharacteristic, complemented
187C2×C8×Dic53C2211yescharacteristic, complemented
188C53×#555C2211yescharacteristic
189C53×#550C2211yescharacteristic, complemented
190C53×#486C2211yescharacteristic, complemented
191C53×#482C2211yescharacteristic, complemented
192C53×#482C2211yescharacteristic, complemented
193C53×#477C2211yescharacteristic, complemented
194C53×#466C2211yescharacteristic
195C53×#466C2211yescharacteristic, complemented
196C53×#459C2211yescharacteristic, complemented
197C53×#449C2211yescharacteristic
198C53×#449C2211yescharacteristic, complemented
199C4×SD16×C53C2211yescharacteristic, complemented
200C8×D4×C53C2211yescharacteristic, complemented
201C53×#416C2211yescharacteristic, complemented
202C53×#416C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945C2311yescharacteristic
205C2×#11719947—21no—
206C2×#11719947—21no—
207C2×#11719947—21no—
208C2×#11719947—21no—
209C2×Q8×D53—21no—
210C22×D212C2311yescharacteristic
211C2×D4×D53—21no—
212C2×D4×D53C2311yescharacteristic
213#13133244—24no—
214#13133242—24no—
215#13133237—24no—
216C2×#11719925C2311yescharacteristic
217C2×#11719913C2311yescharacteristic
218C2×#11719923C2311yescharacteristic
219C2×#11719923C2311yescharacteristic
220C2×#11719924C2311yescharacteristic
221C2×#11719924C2311yescharacteristic
222C2×D424C2311yescharacteristic
223C2×D424C2311yescharacteristic
224C2×#11719922C2311yescharacteristic
225C2×#11719922C2311yescharacteristic
226C2×#11719922C2311yescharacteristic
227C2×#11719922C2311yescharacteristic
228C2×#11719922C2311yescharacteristic
229C2×#11719917C2311yescharacteristic
230C2×#11719912C2311yescharacteristic
231C22×#88322C2311yescharacteristic
232C2×C8×D53C2311yescharacteristic
233#13133216—21no—
234#13133216C2311yescharacteristic
235#13133216C2311yescharacteristic
236#13133216C2311yescharacteristic
237#13133213—21no—
238#13133213—21no—
239#13133213C2311yescharacteristic
240#13133213C2311yescharacteristic
241#13133213C2311yescharacteristic
242#13133212—21no—
243#13133212—21no—
244#13133212D411yescharacteristic
245#13133211—21no—
246#13133210—21no—
247#13133210—21no—
248#13133210—21no—
249#13133210D411yescharacteristic
250#13133209—21no—
251#13133209C2311yescharacteristic
252#13133208—21no—
253#13133208C2311yescharacteristic
254#13133207D411yescharacteristic
255#13133206—21no—
256#13133205—21no—
257#13133205C2311yescharacteristic
258#13133204—21no—
259#13133204C2311yescharacteristic
260#13133203—21no—
261#13133203—21no—
262#13133203—21no—
263#13133203—21no—
264#13133203—21no—
265#13133203D411yescharacteristic
266#13133202—21no—
267#13133202—21no—
268#13133201—21no—
269#13133201D411yescharacteristic
270#13133200—21no—
271#13133199—21no—
272#13133199—21no—
273#13133199—21no—
274#13133199—21no—
275#13133199—21no—
276#13133198—21no—
277#13133198—21no—
278#13133198—21no—
279#13133198—21no—
280#13133198—21no—
281#13133198D411yescharacteristic
282#13133197C2311yescharacteristic
283#13133196C2311yescharacteristic
284#13133195—21no—
285#13133195—21no—
286#13133194—21no—
287#13133194—21no—
288#13133194D411yescharacteristic
289#13133193—21no—
290#13133193—21no—
291#13133192C2311yescharacteristic
292#13133191—21no—
293#13133191—21no—
294#13133191C2311yescharacteristic
295#13133191C2311yescharacteristic
296#13133191C2311yescharacteristic
297#13133190—21no—
298#13133190—21no—
299#13133190—21no—
300#13133189—21no—
301#13133189—21no—
302#13133189—21no—
303#13133189—21no—
304#13133189—21no—
305#13133189—21no—
306#13133189—21no—
307#13133189—21no—
308#13133189D411yescharacteristic
309#13133188—21no—
310#13133188—21no—
311#13133188—21no—
312#13133188—21no—
313#13133188—21no—
314#13133188—21no—
315#13133188C2311yescharacteristic
316#13133188C2311yescharacteristic
317#13133187—21no—
318#13133185—21no—
319#13133185—21no—
320#13133185—21no—
321Q8×Dic53C2311yescharacteristic
322Q8×Dic53C2311yescharacteristic
323Q8×Dic53C2311yescharacteristic
324C4×Dic106—21no—
325C4×Dic106—21no—
326C4×Dic106C2311yescharacteristic
327#13133182C2311yescharacteristic
328#13133182C2311yescharacteristic
329C4×D212—21no—
330C4×D212—21no—
331C4×D212—21no—
332C4×D212C2311yescharacteristic
333C4×D212C2311yescharacteristic
334D4×Dic53—21no—
335D4×Dic53—21no—
336D4×Dic53—21no—
337D4×Dic53—21no—
338D4×Dic53C2311yescharacteristic
339D4×Dic53C2311yescharacteristic
340D4×Dic53C2311yescharacteristic
341D4×Dic53C2311yescharacteristic
342D4×Dic53C2311yescharacteristic
343#13133179—21no—
344#13133179C2311yescharacteristic
345#13133179C2311yescharacteristic
346#13133179C2311yescharacteristic
347#13133179C2311yescharacteristic
348#13133179C2311yescharacteristic
349#13133179C2311yescharacteristic
350C4×C22⋊D53—21no—
351C4×C22⋊D53—21no—
352C4×C22⋊D53—21no—
353C4×C22⋊D53—21no—
354C4×C22⋊D53C2311yescharacteristic
355C4×C22⋊D53C2311yescharacteristic
356#13133177—21no—
357#13133177—21no—
358#13133177—21no—
359#13133177—21no—
360#13133177—21no—
361#13133177—21no—
362#13133177—21no—
363#13133176—21no—
364#13133176—21no—
365#13133176C2311yescharacteristic
366#13133176C2311yescharacteristic
367#13133175C2311yescharacteristic
368#13133174—21no—
369#13133174—21no—
370#13133174—21no—
371#13133174C2311yescharacteristic
372C2×C4⋊Dic53—21no—
373C2×C4⋊Dic53C2311yescharacteristic
374C4⋊C4×D53—21no—
375C4⋊C4×D53C2311yescharacteristic
376C2×#11719921—21no—
377C22⋊C4×D53—21no—
378C22⋊C4×D53—21no—
379C22⋊C4×D53—21no—
380C22⋊C4×D53—21no—
381C22⋊C4×D53—21no—
382C2×C4×Dic53—21no—
383C2×C4×Dic53C2311yescharacteristic
384C42×D53—21no—
385#13133151C2311yescharacteristic
386#13133151C2311yescharacteristic
387#13133150C2311yescharacteristic
388#13133150C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133150C2311yescharacteristic
392#13133150C2311yescharacteristic
393#13133149C2311yescharacteristic
394#13133148C2311yescharacteristic
395#13133148C2311yescharacteristic
396#13133148C2311yescharacteristic
397#13133148C2311yescharacteristic
398C4⋊#88322C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133141C2311yescharacteristic
407#13133140C2311yescharacteristic
408#13133139C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425C22⋊#88322C2311yescharacteristic
426C22⋊#88322C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133128C2311yescharacteristic
430#13133127C2311yescharacteristic
431#13133127C2311yescharacteristic
432#13133127C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C8×Dic53C2311yescharacteristic
436C8×Dic53C2311yescharacteristic
437C8×Dic53C2311yescharacteristic
438C2×#41×C53C2311yescharacteristic
439C2×#41×C53C2311yescharacteristic
440C2×SD16×C53C2311yescharacteristic
441C2×D8×C53C2311yescharacteristic
442C2×D8×C53C2311yescharacteristic
443C22×C8×C53C2311yescharacteristic
444C22×C8×C53C2311yescharacteristic
445C4⋊Q8×C53C2311yescharacteristic
446#127×C53—21no—
447#127×C53C2311yescharacteristic
448#124×C53—21no—
449#124×C53—21no—
450#121×C53—21no—
451#121×C53—21no—
452#121×C53—21no—
453#121×C53C2311yescharacteristic
454#121×C53C2311yescharacteristic
455#121×C53C2311yescharacteristic
456#121×C53C2311yescharacteristic
457C4×Q8×C53C2311yescharacteristic
458C4×D4×C53—21no—
459C4×D4×C53C2311yescharacteristic
460C4×D4×C53C2311yescharacteristic
461#117×C53—21no—
462#117×C53C2311yescharacteristic
463#117×C53C2311yescharacteristic
464#107×C53C2311yescharacteristic
465#107×C53C2311yescharacteristic
466#106×C53C2311yescharacteristic
467C4⋊C8×C53C2311yescharacteristic
468#103×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478C22⋊C8×C53C2311yescharacteristic
479C22⋊C8×C53C2311yescharacteristic
480C4×C8×C53C2311yescharacteristic
481C23×D53—21no—
482C23×D53—21no—
483#41×C53—22no—
484#41×C53—22no—
485#41×C53—41no—
486#41×C53—41no—
487C2×Q8×C53—21no—
488C2×Q8×C53C2411yescharacteristic
489C2×D4×C53—21no—
490C2×D4×C53—21no—
491C2×D4×C53—21no—
492C2×D4×C53—21no—
493C2×D4×C53—21no—
494C2×D4×C53—21no—
495C2×D4×C53—21no—
496C2×D4×C53—21no—
497C2×D4×C53C2×D411yescharacteristic
498C2×D4×C53C2411yescharacteristic
499C2×D4×C53C2411yescharacteristic
500C2×D4×C53C2411yescharacteristic
501C22×C4×C53—21no—
502C22×C4×C53—21no—
503C22×C4×C53—21no—
504C22×C4×C53C2411yescharacteristic
505C22×C4×C53C2411yescharacteristic
506C2×C22⋊D53—21no—
507C2×C22⋊D53—21no—
508C2×C22⋊D53—21no—
509C2×C22⋊D53—21no—
510C2×C22⋊D53—21no—
511C2×C22⋊D53—21no—
512C2×C22⋊D53—21no—
513C2×C22⋊D53—21no—
514C2×C22⋊D53—21no—
515C2×C22⋊D53—21no—
516C2×C22⋊D53—21no—
517C2×C22⋊D53—21no—
518C2×C22⋊D53—21no—
519C2×C22⋊D53C2×D411yescharacteristic
520C2×C22⋊D53C2×D411yescharacteristic
521C22×Dic53—21no—
522C22×Dic53—21no—
523C22×Dic53—21no—
524C22×Dic53—21no—
525C22×Dic53—21no—
526C22×Dic53—21no—
527C22×Dic53C2×D411yescharacteristic
528C22×Dic53C2×D411yescharacteristic
529#11719949—22no—
530#11719949—41no—
531Q8×D53—82no—
532#11719947—82no—
533#11719947—82no—
534#11719947—82no—
535#11719947—82no—
536D4×D53—22no—
537D4×D53—41no—
538D4×D53—82no—
539#11719945—22no—
540#11719945—41no—
541C2×D212—22no—
542C2×D212—21no—
543C2×D212—21no—
544C2×D212—21no—
545C2×D212—41no—
546C2×D212C2411yescharacteristic
547C2×D212C2411yescharacteristic
548C2×D212C2411yescharacteristic
549C2×C4×D53—21no—
550C2×C4×D53—21no—
551C2×C4×D53—21no—
552C2×C4×D53—21no—
553C2×C4×D53—21no—
554C2×C4×D53—21no—
555C2×C4×D53—21no—
556C2×C4×D53—21no—
557C2×C4×D53—21no—
558C2×C4×D53—21no—
559C2×C4×D53—21no—
560C2×C4×D53C2411yescharacteristic
561C2×Dic106—21no—
562C2×Dic106—21no—
563C2×Dic106—21no—
564C2×Dic106C2×D411yescharacteristic
565C2×Dic106C2411yescharacteristic
566SD16×C53—22no—
567D8×C53—41no—
568D8×C53—41no—
569C2×C8×C53—41no—
570C2×C8×C53—41no—
571C2×C8×C53C2411yescharacteristic
572C2×C8×C53C2411yescharacteristic
573C2×C8×C53C2411yescharacteristic
574C2×C8×C53C2411yescharacteristic
575C4⋊C4×C53—21no—
576C4⋊C4×C53—21no—
577C4⋊C4×C53C2×D411yescharacteristic
578C4⋊C4×C53C2411yescharacteristic
579C4⋊C4×C53C2411yescharacteristic
580C4⋊C4×C53C2411yescharacteristic
581C4⋊C4×C53C2411yescharacteristic
582C22⋊C4×C53—21no—
583C22⋊C4×C53—21no—
584C22⋊C4×C53—21no—
585C22⋊C4×C53—21no—
586C22⋊C4×C53—21no—
587C22⋊C4×C53—21no—
588C22⋊C4×C53—21no—
589C22⋊C4×C53C2×D411yescharacteristic
590C22⋊C4×C53C2×D411yescharacteristic
591C42×C53—21no—
592C42×C53—21no—
593C42×C53—21no—
594C42×C53C2411yescharacteristic
595C22⋊Dic53—21no—
596C22⋊Dic53—21no—
597C22⋊Dic53—21no—
598C22⋊Dic53—21no—
599C22⋊Dic53—21no—
600C22⋊Dic53—21no—
601C22⋊Dic53—21no—
602C22⋊Dic53—21no—
603C22⋊Dic53—21no—
604C22⋊Dic53—21no—
605C22⋊Dic53—21no—
606C22⋊Dic53C2×D411yescharacteristic
607C22⋊Dic53C2×D411yescharacteristic
608C22⋊Dic53C2×D411yescharacteristic
609C22⋊Dic53C2×D411yescharacteristic
610#11719925—22no—
611#11719924—22no—
612#11719924#4114yescomplemented
613#11719923—22no—
614#11719923—41no—
615#11719922—22no—
616#11719922—22no—
617#11719922—22no—
618#11719922—22no—
619#11719922—41no—
620#11719921—21no—
621#11719921—21no—
622#11719921—21no—
623#11719921—21no—
624#11719921—21no—
625#11719921—21no—
626#11719921—21no—
627#11719921—21no—
628#11719921—21no—
629#11719921—21no—
630#11719921—21no—
631#11719921—21no—
632#11719921—21no—
633#11719921—21no—
634#11719921—21no—
635#11719921—21no—
636#11719921C2×D411yescharacteristic
637#11719921C2×D411yescharacteristic
638#11719921C2×D411yescharacteristic
639#11719921C2×D411yescharacteristic
640C4⋊Dic53—21no—
641C4⋊Dic53—21no—
642C4⋊Dic53—21no—
643C4⋊Dic53—21no—
644C4⋊Dic53—21no—
645C4⋊Dic53—21no—
646C4⋊Dic53C2×D411yescharacteristic
647C4⋊Dic53C2×D411yescharacteristic
648C4⋊Dic53C2×D411yescharacteristic
649C4⋊Dic53C2411yescharacteristic
650C4⋊Dic53C2411yescharacteristic
651C4⋊Dic53C2411yescharacteristic
652C4⋊Dic53C2411yescharacteristic
653#11719919—21no—
654#11719919—21no—
655#11719919—21no—
656#11719919—21no—
657#11719919—21no—
658#11719919—21no—
659#11719919—21no—
660#11719919—21no—
661#11719919—21no—
662#11719919—21no—
663#11719919C2×D411yescharacteristic
664#11719919C2×D411yescharacteristic
665#11719919C2×D411yescharacteristic
666#11719919C2×D411yescharacteristic
667#11719919C2×D411yescharacteristic
668#11719919C2×D411yescharacteristic
669C4×Dic53—21no—
670C4×Dic53—21no—
671C4×Dic53—21no—
672C4×Dic53—21no—
673C4×Dic53—21no—
674C4×Dic53—21no—
675C4×Dic53—21no—
676C4×Dic53C2×D411yescharacteristic
677C4×Dic53C2×D411yescharacteristic
678C4×Dic53C2411yescharacteristic
679C4×Dic53C2411yescharacteristic
680C4×Dic53C2411yescharacteristic
681#11719917—22no—
682C2×#88322—22no—
683C2×#88322C2411yescharacteristic
684C2×#88322C2411yescharacteristic
685C2×#88322C2411yescharacteristic
686C2×#88322C2411yescharacteristic
687D424—22no—
688D424—41no—
689#11719913—41no—
690#11719912—22no—
691C8×D53—41no—
692C23×C53—21no—
693C23×C53—21no—
694C23×C53—21no—
695C23×C53C22×D411yescharacteristic
696C23×C53C22×D411yescharacteristic
697C22×D53—21no—
698C22×D53—21no—
699C22×D53—21no—
700C22×D53—42no—
701C22×D53—42no—
702C22×D53—81no—
703C22×D53—81no—
704C22×D53—81no—
705C22×D53—81no—
706C22×D53C22×D411yescharacteristic
707Q8×C53—21no—
708Q8×C53—81no—
709Q8×C53C2×#4112yes—
710D4×C53—21no—
711D4×C53—21no—
712D4×C53—21no—
713D4×C53—21no—
714D4×C53—21no—
715D4×C53—21no—
716D4×C53—41no—
717D4×C53—42no—
718D4×C53—42no—
719D4×C53—81no—
720D4×C53—81no—
721D4×C53—81no—
722D4×C53—81no—
723D4×C53—81no—
724D4×C53—81no—
725C2×C4×C53—21no—
726C2×C4×C53—21no—
727C2×C4×C53—21no—
728C2×C4×C53—21no—
729C2×C4×C53—21no—
730C2×C4×C53—21no—
731C2×C4×C53—21no—
732C2×C4×C53—21no—
733C2×C4×C53—21no—
734C2×C4×C53—42no—
735C2×C4×C53—42no—
736C2×C4×C53—81no—
737C2×C4×C53C22×D411yescharacteristic
738C2×C4×C53C22×D411yescharacteristic
739C2×C4×C53C22×D411yescharacteristic
740C2×C4×C53C22×D411yescharacteristic
741C2×C4×C53C2511yescharacteristic
742C22⋊D53—22no—
743C22⋊D53—41no—
744C22⋊D53—42no—
745C22⋊D53—42no—
746C22⋊D53—42no—
747C22⋊D53—42no—
748C22⋊D53—81no—
749C22⋊D53—81no—
750C22⋊D53—81no—
751C22⋊D53—81no—
752C22⋊D53—81no—
753C22⋊D53—81no—
754C22⋊D53—81no—
755C22⋊D53—81no—
756C22⋊D53—81no—
757C2×Dic53—22no—
758C2×Dic53—21no—
759C2×Dic53—21no—
760C2×Dic53—21no—
761C2×Dic53—21no—
762C2×Dic53—21no—
763C2×Dic53—41no—
764C2×Dic53—42no—
765C2×Dic53—81no—
766C2×Dic53—81no—
767C2×Dic53—81no—
768C2×Dic53—81no—
769C2×Dic53—81no—
770C2×Dic53C22×D411yescharacteristic
771C2×Dic53C22×D411yescharacteristic
772C2×Dic53C22×D411yescharacteristic
773C2×Dic53C22×D411yescharacteristic
774C2×Dic53C22×D411yescharacteristic
775C2×Dic53C22×D411yescharacteristic
776C2×Dic53C22×D411yescharacteristic
777D212—21no—
778D212—21no—
779D212—21no—
780D212—21no—
781D212—21no—
782D212—42no—
783D212—42no—
784D212—81no—
785D212C2×#4112yes—
786C4×D53—21no—
787C4×D53—21no—
788C4×D53—42no—
789C4×D53—42no—
790C4×D53—42no—
791C4×D53—81no—
792C4×D53—81no—
793C4×D53—81no—
794C4×D53—81no—
795C4×D53—81no—
796C4×D53—81no—
797C4×D53—81no—
798C4×D53—81no—
799Dic106—22no—
800Dic106—21no—
801Dic106—21no—
802Dic106—42no—
803Dic106—42no—
804Dic106—81no—
805C8×C53—21no—
806C8×C53—21no—
807C8×C53—21no—
808C8×C53—21no—
809#88322—21no—
810#88322—21no—
811#88322—21no—
812#88322C2×#4112yes—
813#61494—531nomaximal, Sylow
814C22×C53—21no—
815C22×C53—21no—
816C22×C53—21no—
817C22×C53—21no—
818C22×C53—21no—
819C22×C53—21no—
820C22×C53—41no—
821C22×C53—41no—
822C22×C53—41no—
823C22×C53—41no—
824C22×C53—41no—
825C22×C53—41no—
826C22×C53—41no—
827C22×C53—41no—
828C22×C53—41no—
829C22×C53C23×D411yescharacteristic
830C2×D53—21no—
831C2×D53—21no—
832C2×D53—22no—
833C2×D53—21no—
834C2×D53—41no—
835C2×D53—41no—
836C2×D53—41no—
837C2×D53—41no—
838C2×D53—41no—
839C2×D53—41no—
840C2×D53—41no—
841C2×D53—41no—
842C2×D53—162no—
843C2×D53—162no—
844C4×C53—21no—
845C4×C53—21no—
846C4×C53—22no—
847C4×C53—21no—
848C4×C53—21no—
849C4×C53—41no—
850C4×C53—41no—
851C4×C53—41no—
852C4×C53—41no—
853C4×C53C22×#4111yescharacteristic
854C4×C53#58511yescharacteristic
855Dic53—21no—
856Dic53—21no—
857Dic53—21no—
858Dic53—21no—
859Dic53—21no—
860Dic53—21no—
861Dic53—41no—
862Dic53—41no—
863Dic53—41no—
864Dic53—41no—
865Dic53—41no—
866Dic53#57612yes—
867#3517—531no—
868#3514—531no—
869#3399—531no—
870#3386—531no—
871#3365—531no—
872#3358—531no—
873#3353—531no—
874#3347—531no—
875#3347—531no—
876#3305—531no—
877#3305D5311yescharacteristic, complemented
878#3304—531no—
879#3297—531no—
880#3297—531no—
881#3294—531no—
882#3274—531no—
883#3268—531no—
884#3268—531no—
885#3179—531no—
886#3179—531no—
887#3169—531no—
888#3124—531no—
889#3124—531no—
890#3122—531no—
891#3122—531no—
892#3115—531no—
893#3115—531no—
894#2966—531no—
895#2946—531no—
896#2946—531no—
897C4×#135—531no—
898C2×C53—41no—
899C2×C53—41no—
900C2×C53—81no—
901C2×C53—81no—
902C2×C53—81no—
903C2×C53D4×#4111yescharacteristic
904C2×C53C2×#57611yescharacteristic
905C2×C53#358411yescharacteristic
906D53—41no—
907D53—42no—
908D53—81no—
909D53—81no—
910C2×AGL(1,ℤ/8)—531no—
911C2×AGL(1,ℤ/8)—531no—
912C2×#135—531no—
913#559—531no—
914#557—531no—
915#556—531no—
916#555—531no—
917#555C2×D5311yescharacteristic
918#553—531no—
919#553—531no—
920#553—1061no—
921#553—1061no—
922#551—1061no—
923#551—1061no—
924#550—531no—
925#550—531no—
926#550—531no—
927#550—1061no—
928#550C2×D5311yescharacteristic, complemented
929D4×Q8—531no—
930#548—1061no—
931#547—531no—
932#547—1061no—
933#546—531no—
934#546—531no—
935#546—1061no—
936D42—531no—
937#542—531no—
938#542—531no—
939#540—531no—
940#540—531no—
941#540—1061no—
942#540—1061no—
943#538—1061no—
944#538—1061no—
945#532—531no—
946#532—531no—
947#532—1061no—
948#529—531no—
949#529—1061no—
950#529—1061no—
951C2×#124—1061no—
952#520—531no—
953#520—531no—
954#518—531no—
955#518—531no—
956C4×#41—531no—
957C4×#41—531no—
958#501—531no—
959#501—531no—
960#500—531no—
961#496—531no—
962#496—531no—
963#493—531no—
964#488—531no—
965#488—531no—
966#486—531no—
967#486—531no—
968#486—531no—
969#486C2×D5311yescharacteristic, complemented
970#484—531no—
971#484—531no—
972#482—531no—
973#482—531no—
974#482—531no—
975#482—531no—
976#482—531no—
977#482—531no—
978#482C2×D5311yescharacteristic, complemented
979#482C2×D5311yescharacteristic, complemented
980#480—531no—
981#480—531no—
982#478—531no—
983#478—531no—
984#478—531no—
985#478—531no—
986#477—531no—
987#477C2×D5311yescharacteristic, complemented
988#475—531no—
989#475—531no—
990#474—531no—
991#474—531no—
992#474—531no—
993#474—531no—
994#469—531no—
995#469—531no—
996#468—531no—
997#468—531no—
998#466—531no—
999#466—531no—
1000#466—531no—
1001#466—531no—
1002#466C2×D5311yescharacteristic
1003#466C2×D5311yescharacteristic, complemented
1004#465—531no—
1005#465—531no—
1006#464—531no—
1007#464—531no—
1008#463—531no—
1009#463—531no—
1010#460—531no—
1011#460—531no—
1012#459—531no—
1013#459—531no—
1014#459—531no—
1015#459—531no—
1016#459—531no—
1017#459C2×D5311yescharacteristic, complemented
1018#452—531no—
1019#452—531no—
1020#449—531no—
1021#449—531no—
1022#449—531no—
1023#449—531no—
1024#449C2×D5311yescharacteristic
1025#449C2×D5311yescharacteristic, complemented
1026#447—531no—
1027#447—531no—
1028#447—531no—
1029#447—531no—
1030#446—531no—
1031C8×Q8—531no—
1032#442—531no—
1033#442—531no—
1034#442—531no—
1035#442—531no—
1036#442—531no—
1037#442—531no—
1038#440—531no—
1039#440—531no—
1040#440—531no—
1041#440—531no—
1042#440—531no—
1043#440—531no—
1044C4×Q16—531no—
1045C4×Q16—531no—
1046C4×SD16—531no—
1047C4×SD16—531no—
1048C4×SD16—531no—
1049C4×SD16—531no—
1050C4×SD16—531no—
1051C4×SD16C2×D5311yescharacteristic, complemented
1052C4×D8—531no—
1053C4×D8—531no—
1054C4×D8—531no—
1055C4×D8—531no—
1056C4×D8—531no—
1057C4×D8—531no—
1058C4×D8—531no—
1059C4×D8—531no—
1060#436—531no—
1061#435—531no—
1062#435—531no—
1063C8×D4—531no—
1064C8×D4—531no—
1065C8×D4C2×D5311yescharacteristic, complemented
1066#433—531no—
1067#433—531no—
1068#432—531no—
1069#428—531no—
1070#428—531no—
1071#427—531no—
1072#416—531no—
1073#416—531no—
1074#416C2×D5311yescharacteristic, complemented
1075#416C2×D5311yescharacteristic, complemented
1076C2×#102—531no—
1077C2×#102—531no—
1078#405—531no—
1079#405—531no—
1080C2×C4×C8—531no—
1081C53#6149411yescharacteristic, complemented, Sylow
1082C2×#41—531no—
1083C2×#41—531no—
1084C2×#41—1061no—
1085C2×#41—1061no—
1086C2×#41—1061no—
1087C2×#41—1061no—
1088C2×#41C22×D5311yescharacteristic
1089C2×#41C22×D5311yescharacteristic
1090C22×Q8—1061no—
1091C22×D4—531no—
1092C22×D4—531no—
1093C22×D4—1061no—
1094AGL(1,ℤ/8)—1064no—
1095AGL(1,ℤ/8)—1064no—
1096#135—1064no—
1097C2×Q16—531no—
1098C2×SD16—531no—
1099C2×SD16—531no—
1100C2×SD16—531no—
1101C2×SD16—531no—
1102C2×SD16—531no—
1103C2×SD16C22×D5311yescharacteristic
1104C2×D8—531no—
1105C2×D8—531no—
1106C2×D8—531no—
1107C2×D8—531no—
1108C2×D8—531no—
1109C2×D8—531no—
1110C2×D8—531no—
1111C2×D8C22×D5311yescharacteristic
1112C2×D8C22×D5311yescharacteristic
1113C2×M16—531no—
1114C2×M16—531no—
1115C22×C8—531no—
1116C22×C8—531no—
1117C22×C8C22×D5311yescharacteristic
1118C22×C8C22×D5311yescharacteristic
1119C4⋊Q8—531no—
1120C4⋊Q8—531no—
1121C4⋊Q8—531no—
1122C4⋊Q8—1061no—
1123C4⋊Q8C22×D5311yescharacteristic
1124#127—21no—
1125#127—531no—
1126#127—531no—
1127#127—531no—
1128#127—1061no—
1129#127—1061no—
1130#127C22×D5311yescharacteristic
1131#126—531no—
1132#126—531no—
1133#126—1061no—
1134#126—1061no—
1135#126—1061no—
1136#126—1061no—
1137#126—1061no—
1138#126—1061no—
1139#125—531no—
1140#125—531no—
1141#125—531no—
1142#125—1061no—
1143#125—1061no—
1144#124—21no—
1145#124—21no—
1146#124—531no—
1147#124—531no—
1148#124—531no—
1149#124—1061no—
1150#124—1061no—
1151#124—1061no—
1152#124—1061no—
1153#124—1061no—
1154#124—1061no—
1155#124—1061no—
1156#124—1061no—
1157#123—531no—
1158#123—531no—
1159#123—1061no—
1160#123—1061no—
1161#123—1061no—
1162#123—1061no—
1163#123—1061no—
1164#123—1061no—
1165#123—1061no—
1166#123—1061no—
1167#123—1061no—
1168#123—1061no—
1169#123—1061no—
1170#123—1061no—
1171#123—1061no—
1172#123—1061no—
1173C22⋊Q8—531no—
1174C22⋊Q8—531no—
1175C22⋊Q8—531no—
1176C22⋊Q8—1061no—
1177C22⋊Q8—1061no—
1178C22⋊Q8—1061no—
1179C22⋊Q8—1061no—
1180C22⋊Q8—1061no—
1181C22⋊Q8—1061no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—531no—
1186#121—531no—
1187#121—531no—
1188#121—531no—
1189#121—531no—
1190#121—531no—
1191#121—531no—
1192#121—1061no—
1193#121—1061no—
1194#121—1061no—
1195#121—1061no—
1196#121—1061no—
1197#121—1061no—
1198#121—1061no—
1199#121—1061no—
1200#121—1061no—
1201#121—1061no—
1202#121—1061no—
1203#121—1061no—
1204#121—1061no—
1205#121—1061no—
1206#121—1061no—
1207#121—1061no—
1208#121—1061no—
1209#121—1061no—
1210#121—1061no—
1211#121C22×D5311yescharacteristic
1212#121C22×D5311yescharacteristic
1213#121C22×D5311yescharacteristic
1214#121C22×D5311yescharacteristic
1215#120—1061no—
1216#120—1061no—
1217#120—1061no—
1218#120—1061no—
1219C4×Q8—531no—
1220C4×Q8—531no—
1221C4×Q8—531no—
1222C4×Q8—531no—
1223C4×Q8—531no—
1224C4×Q8—531no—
1225C4×Q8—1061no—
1226C4×Q8—1061no—
1227C4×Q8C22×D5311yescharacteristic
1228C4×D4—21no—
1229C4×D4—531no—
1230C4×D4—531no—
1231C4×D4—531no—
1232C4×D4—531no—
1233C4×D4—531no—
1234C4×D4—531no—
1235C4×D4—531no—
1236C4×D4—531no—
1237C4×D4—531no—
1238C4×D4—531no—
1239C4×D4—531no—
1240C4×D4—531no—
1241C4×D4—531no—
1242C4×D4—531no—
1243C4×D4—531no—
1244C4×D4—1061no—
1245C4×D4—1061no—
1246C4×D4—1061no—
1247C4×D4—1061no—
1248C4×D4—1061no—
1249C4×D4—1061no—
1250C4×D4—1061no—
1251C4×D4—1061no—
1252C4×D4—1061no—
1253C4×D4—1061no—
1254C4×D4—1061no—
1255C4×D4—1061no—
1256C4×D4—1061no—
1257C4×D4—1061no—
1258C4×D4—1061no—
1259C4×D4—1061no—
1260C4×D4—1061no—
1261C4×D4—1061no—
1262C4×D4—1061no—
1263C4×D4C22×D5311yescharacteristic
1264C4×D4C22×D5311yescharacteristic
1265#117—21no—
1266#117—531no—
1267#117—531no—
1268#117—531no—
1269#117—531no—
1270#117—1061no—
1271#117—1061no—
1272#117—1061no—
1273#117—1061no—
1274#117—1061no—
1275#117C22×D5311yescharacteristic
1276#117C22×D5311yescharacteristic
1277C2×C4⋊C4—531no—
1278C2×C4⋊C4—531no—
1279C2×C4⋊C4—1061no—
1280C2×C4⋊C4—1061no—
1281C2×C22⋊C4—1061no—
1282C2×C22⋊C4—1061no—
1283C2×C22⋊C4—1061no—
1284C2×C22⋊C4—1061no—
1285C2×C22⋊C4—1061no—
1286C2×C22⋊C4—1061no—
1287C2×C42—531no—
1288C2×C42—1061no—
1289C2×C42—1061no—
1290#107—531no—
1291#107—531no—
1292#107—531no—
1293#107—531no—
1294#107—531no—
1295#107—531no—
1296#107—531no—
1297#107—531no—
1298#107C22×D5311yescharacteristic
1299#107C22×D5311yescharacteristic
1300#106—531no—
1301#106—531no—
1302#106—531no—
1303#106—531no—
1304#106—531no—
1305#106C22×D5311yescharacteristic
1306C4⋊C8—531no—
1307C4⋊C8—531no—
1308C4⋊C8—531no—
1309C4⋊C8—531no—
1310C4⋊C8—531no—
1311C4⋊C8C22×D5311yescharacteristic
1312#103—531no—
1313#103—531no—
1314#103—531no—
1315#103—531no—
1316#103—531no—
1317#103C22×D5311yescharacteristic
1318#103C22×D5311yescharacteristic
1319#103C22×D5311yescharacteristic
1320#102—531no—
1321#102—531no—
1322#102—531no—
1323#102—531no—
1324#102—531no—
1325#102—531no—
1326#102—531no—
1327#102—531no—
1328#102—531no—
1329#102—531no—
1330#102—531no—
1331#102—531no—
1332#102—531no—
1333#102—531no—
1334#102—531no—
1335#102—531no—
1336#102—531no—
1337#102C22×D5311yescharacteristic
1338#102C22×D5311yescharacteristic
1339#102C22×D5311yescharacteristic
1340#102C22×D5311yescharacteristic
1341#102C22×D5311yescharacteristic
1342#102C22×D5311yescharacteristic
1343#102C22×D5311yescharacteristic
1344C22⋊C8—531no—
1345C22⋊C8—531no—
1346C22⋊C8—531no—
1347C22⋊C8—531no—
1348C22⋊C8C22×D5311yescharacteristic
1349C22⋊C8C22×D5311yescharacteristic
1350#97—531no—
1351#97—531no—
1352#97—531no—
1353#97—531no—
1354C4×C8—531no—
1355C4×C8—531no—
1356C4×C8—531no—
1357C4×C8—531no—
1358C4×C8—531no—
1359C4×C8C22×D5311yescharacteristic
1360C24—1061no—
1361C24—1061no—
1362#41—22no—
1363#41—22no—
1364#41—41no—
1365#41—41no—
1366#41—1062no—
1367#41—1062no—
1368#41—4242no—
1369#41—4242no—
1370#41—4242no—
1371#41—4242no—
1372#41—2121no—
1373#41—2121no—
1374C2×Q8—21no—
1375C2×Q8—531no—
1376C2×Q8—531no—
1377C2×Q8—1061no—
1378C2×Q8—1061no—
1379C2×Q8—1061no—
1380C2×Q8—4242no—
1381C2×Q8C23×D5311yescharacteristic
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—531no—
1391C2×D4—531no—
1392C2×D4—531no—
1393C2×D4—531no—
1394C2×D4—531no—
1395C2×D4—1062no—
1396C2×D4—1061no—
1397C2×D4—1061no—
1398C2×D4—1061no—
1399C2×D4—1061no—
1400C2×D4—1061no—
1401C2×D4—1061no—
1402C2×D4—1061no—
1403C2×D4—1061no—
1404C2×D4—1061no—
1405C2×D4—1062no—
1406C2×D4—1061no—
1407C2×D4—1061no—
1408C2×D4—1061no—
1409C2×D4—1061no—
1410C2×D4—1061no—
1411C2×D4—1061no—
1412C2×D4—1061no—
1413C2×D4—4242no—
1414C2×D4—2121no—
1415C2×D4—2121no—
1416C2×D4D4×D5311yescharacteristic
1417C2×D4C23×D5311yescharacteristic
1418C2×D4C23×D5311yescharacteristic
1419C2×D4C23×D5311yescharacteristic
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—531no—
1424C22×C4—531no—
1425C22×C4—531no—
1426C22×C4—1061no—
1427C22×C4—1061no—
1428C22×C4—1061no—
1429C22×C4—1061no—
1430C22×C4—1061no—
1431C22×C4—1061no—
1432C22×C4—1061no—
1433C22×C4—1061no—
1434C22×C4—1061no—
1435C22×C4—1061no—
1436C22×C4—1061no—
1437C22×C4—1061no—
1438C22×C4—1061no—
1439C22×C4—1061no—
1440C22×C4—1061no—
1441C22×C4—1061no—
1442C22×C4—1061no—
1443C22×C4C23×D5311yescharacteristic
1444C22×C4C23×D5311yescharacteristic
1445Q16—1062no—
1446SD16—22no—
1447SD16—534no—
1448SD16—1062no—
1449SD16—1062no—
1450SD16—2121no—
1451SD16—2121no—
1452D8—41no—
1453D8—41no—
1454D8—1062no—
1455D8—1062no—
1456D8—1062no—
1457D8—1062no—
1458D8—1062no—
1459D8—2121no—
1460D8—2121no—
1461M16—1062no—
1462M16—1062no—
1463C2×C8—41no—
1464C2×C8—41no—
1465C2×C8—531no—
1466C2×C8—531no—
1467C2×C8—531no—
1468C2×C8—531no—
1469C2×C8—1062no—
1470C2×C8—2121no—
1471C2×C8C23×D5311yescharacteristic
1472C2×C8C23×D5311yescharacteristic
1473C2×C8C23×D5311yescharacteristic
1474C2×C8C23×D5311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—531no—
1478C4⋊C4—531no—
1479C4⋊C4—531no—
1480C4⋊C4—531no—
1481C4⋊C4—531no—
1482C4⋊C4—531no—
1483C4⋊C4—531no—
1484C4⋊C4—531no—
1485C4⋊C4—531no—
1486C4⋊C4—531no—
1487C4⋊C4—531no—
1488C4⋊C4—531no—
1489C4⋊C4—531no—
1490C4⋊C4—1061no—
1491C4⋊C4—1061no—
1492C4⋊C4—1061no—
1493C4⋊C4—1061no—
1494C4⋊C4—1061no—
1495C4⋊C4—1061no—
1496C4⋊C4—1061no—
1497C4⋊C4—1061no—
1498C4⋊C4—1061no—
1499C4⋊C4—1061no—
1500C4⋊C4—1061no—
1501C4⋊C4—1061no—
1502C4⋊C4—1061no—
1503C4⋊C4—1061no—
1504C4⋊C4—1061no—
1505C4⋊C4—1061no—
1506C4⋊C4D4×D5311yescharacteristic
1507C4⋊C4C23×D5311yescharacteristic
1508C4⋊C4C23×D5311yescharacteristic
1509C4⋊C4C23×D5311yescharacteristic
1510C4⋊C4C23×D5311yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—531no—
1519C22⋊C4—531no—
1520C22⋊C4—531no—
1521C22⋊C4—531no—
1522C22⋊C4—531no—
1523C22⋊C4—531no—
1524C22⋊C4—531no—
1525C22⋊C4—531no—
1526C22⋊C4—1061no—
1527C22⋊C4—1061no—
1528C22⋊C4—1061no—
1529C22⋊C4—1061no—
1530C22⋊C4—1061no—
1531C22⋊C4—1061no—
1532C22⋊C4—1061no—
1533C22⋊C4—1061no—
1534C22⋊C4—1061no—
1535C22⋊C4—1061no—
1536C22⋊C4—1061no—
1537C22⋊C4—1061no—
1538C22⋊C4—1061no—
1539C22⋊C4—1061no—
1540C22⋊C4—1061no—
1541C22⋊C4—1061no—
1542C22⋊C4—1061no—
1543C22⋊C4—1061no—
1544C22⋊C4—1061no—
1545C22⋊C4—1061no—
1546C22⋊C4—1061no—
1547C22⋊C4—1061no—
1548C22⋊C4—1061no—
1549C22⋊C4—1061no—
1550C22⋊C4—1061no—
1551C22⋊C4—1061no—
1552C22⋊C4—1061no—
1553C22⋊C4D4×D5311yescharacteristic
1554C22⋊C4D4×D5311yescharacteristic
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—531no—
1559C42—531no—
1560C42—531no—
1561C42—531no—
1562C42—531no—
1563C42—1061no—
1564C42—1061no—
1565C42—1061no—
1566C42—1061no—
1567C42—1061no—
1568C42—1061no—
1569C42—1061no—
1570C42C23×D5311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—531no—
1575C23—1061no—
1576C23—1061no—
1577C23—1061no—
1578C23—4241no—
1579C23—4241no—
1580C23—4241no—
1581C23—4241no—
1582C23—2122no—
1583C23—2122no—
1584C23C2×D4×D5311yescharacteristic
1585C23C2×D4×D5311yescharacteristic
1586Q8—21no—
1587Q8—81no—
1588Q8—1062no—
1589Q8—1061no—
1590Q8—1061no—
1591Q8—4241no—
1592Q8—2122no—
1593Q8—2122no—
1594Q8#41×D5312yes—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—41no—
1602D4—42no—
1603D4—42no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—532no—
1611D4—1062no—
1612D4—1061no—
1613D4—1061no—
1614D4—1061no—
1615D4—1061no—
1616D4—1061no—
1617D4—4241no—
1618D4—4241no—
1619D4—4241no—
1620D4—4241no—
1621D4—4241no—
1622D4—4241no—
1623D4—4241no—
1624D4—4241no—
1625D4—4241no—
1626D4—4241no—
1627D4—2122no—
1628D4—2122no—
1629D4—2122no—
1630D4—2122no—
1631D4—2121no—
1632D4—2122no—
1633D4—2122no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—42no—
1644C2×C4—42no—
1645C2×C4—81no—
1646C2×C4—531no—
1647C2×C4—531no—
1648C2×C4—531no—
1649C2×C4—531no—
1650C2×C4—531no—
1651C2×C4—531no—
1652C2×C4—531no—
1653C2×C4—1062no—
1654C2×C4—1061no—
1655C2×C4—1061no—
1656C2×C4—1061no—
1657C2×C4—1061no—
1658C2×C4—1061no—
1659C2×C4—1061no—
1660C2×C4—1061no—
1661C2×C4—4241no—
1662C2×C4—4241no—
1663C2×C4—4241no—
1664C2×C4—4241no—
1665C2×C4—4241no—
1666C2×C4—4241no—
1667C2×C4—4241no—
1668C2×C4—4241no—
1669C2×C4—4241no—
1670C2×C4—4241no—
1671C2×C4—4241no—
1672C2×C4—4241no—
1673C2×C4—4241no—
1674C2×C4—2122no—
1675C2×C4—2122no—
1676C2×C4—2122no—
1677C2×C4—2122no—
1678C2×C4—2121no—
1679C2×C4C2×D4×D5311yescharacteristic
1680C2×C4C2×D4×D5311yescharacteristic
1681C2×C4C2×D4×D5311yescharacteristic
1682C2×C4C2×D4×D5311yescharacteristic
1683C2×C4C24×D5311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—532no—
1689C8—1061no—
1690C8—1061no—
1691C8—1061no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—8482no—
1708C22—8482no—
1709C22—1061no—
1710C22—1061no—
1711C22—1062no—
1712C22—1061no—
1713C22—2121no—
1714C22—2121no—
1715C22—2121no—
1716C22—2121no—
1717C22—2121no—
1718C22—2121no—
1719C22—2121no—
1720C22—2121no—
1721C22C22×D4×D5311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—22no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—532no—
1732C4—1061no—
1733C4—1061no—
1734C4—1061no—
1735C4—1061no—
1736C4—1061no—
1737C4—1061no—
1738C4—2121no—
1739C4—2121no—
1740C4—2121no—
1741C4—2121no—
1742C4—2121no—
1743C4C2×#41×D5311yescharacteristic
1744C4#1681145811yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—81no—
1748C2—81no—
1749C2—81no—
1750C2—4241no—
1751C2—4241no—
1752C2—2121no—
1753C2—2122no—
1754C2#2028819911yescharacteristic
1755C2#576×D5311yescharacteristic
1756C2#2028948411yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3305C2
socleC22×C53C23×D4
hypercenter#3305D53
hypocenterC53#61494
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3305

Complements

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

NH ≅ G/Ntype
1. #20288712C2semidirect
2. #20288672C2semidirect
3. #20287760C2semidirect
4. #20287639C2semidirect
5. #20287412C2semidirect
6. #20287347C2semidirect
7. #20287297C2semidirect
8. #20287219C2semidirect
9. #20287215C2semidirect
10. #20286661C2semidirect
11. #20286650C2semidirect
12. #20286567C2semidirect
13. #20286560C2semidirect
14. #20286523C2semidirect
15. #20286328C2semidirect
16. #20286256C2semidirect
17. #20286248C2semidirect
18. #20285405C2semidirect
19. #20285401C2semidirect
20. #20285289C2semidirect
21. #20284984C2semidirect
22. #20284970C2semidirect
23. #20284956C2semidirect
24. #20284954C2semidirect
25. #20284861C2semidirect
26. #20284859C2semidirect
27. #20283683C2semidirect
28. #20283550C2semidirect
29. #20283542C2semidirect
30. #20283483C2semidirect
31. C53×#3305C2semidirect
36. #16811349C22semidirect
40. #16811320C22semidirect
42. #16811319C22semidirect
46. #16811293C22semidirect
48. #16811292C22semidirect
60. #16811227C22semidirect
62. #16811226C22semidirect
67. #16811168C22semidirect
72. #16811106C22semidirect
73. #16811105C22semidirect
76. #41×Dic53C22semidirect
78. #16811031C22semidirect
79. #16811029C22semidirect
80. #16811027C22semidirect
81. #16811011C22semidirect
82. #16811010C22semidirect
84. #16810978C22semidirect
85. #16810976C22semidirect
87. #16810968C22semidirect
88. #16810968C22semidirect
89. #16810960C22semidirect
90. #16810959C22semidirect
91. #16810948C22semidirect
92. #16810947C22semidirect
93. #16810947C22semidirect
94. #16810946C22semidirect
95. #16810945C22semidirect
96. #16810944C22semidirect
101. #16810923C22semidirect
102. #16810922C22semidirect
103. #16810916C22semidirect
104. #16810907C22semidirect
105. #16810906C22semidirect
107. #16810901C22semidirect
108. #16810901C22semidirect
109. #16810900C22semidirect
112. #16810868C22semidirect
113. #16810867C22semidirect
114. #16810859C22semidirect
116. #16810857C22semidirect
117. #16810857C22semidirect
118. #16810852C22semidirect
119. #16810851C22semidirect
120. #16810845C22semidirect
121. #16810843C22semidirect
122. #16810839C22semidirect
123. #16810836C22semidirect
124. #16810822C22semidirect
128. #16810817C22semidirect
131. #16810788C22semidirect
132. #16810785C22semidirect
135. #16810768C22semidirect
141. #16810752C22semidirect
142. C8×Dic106C22semidirect
143. #16810735C22semidirect
145. #16810733C22semidirect
147. #16810732C22semidirect
148. #16810732C22semidirect
150. #16810726C22semidirect
151. #16810724C22semidirect
152. #16810722C22semidirect
154. #16810720C22semidirect
155. #16810715C22semidirect
156. #16810715C22semidirect
157. #16810714C22semidirect
158. #16810714C22semidirect
161. #16810708C22semidirect
163. D8×Dic53C22semidirect
164. #16810705C22semidirect
168. #16810703C22semidirect
169. #16810703C22semidirect
171. #16810695C22semidirect
172. #16810691C22semidirect
174. C8×C22⋊D53C22semidirect
175. #16810683C22semidirect
176. #16810681C22semidirect
177. #16810677C22semidirect
178. #16810666C22semidirect
179. #16810662C22semidirect
180. #16810659C22semidirect
182. #16810618C22semidirect
185. #16810578C22semidirect
186. #16810577C22semidirect
187. C2×C8×Dic53C22semidirect
189. C53×#550C22semidirect
190. C53×#486C22semidirect
191. C53×#482C22semidirect
192. C53×#482C22semidirect
193. C53×#477C22semidirect
195. C53×#466C22semidirect
196. C53×#459C22semidirect
198. C53×#449C22semidirect
199. C4×SD16×C53C22semidirect
200. C8×D4×C53C22semidirect
201. C53×#416C22semidirect
202. C53×#416C22semidirect
612. #11719924#41semidirect
877. #3305D53semidirect
928. #550C2×D53semidirect
969. #486C2×D53semidirect
978. #482C2×D53semidirect
979. #482C2×D53semidirect
987. #477C2×D53semidirect
1003. #466C2×D53semidirect
1017. #459C2×D53semidirect
1025. #449C2×D53semidirect
1051. C4×SD16C2×D53semidirect
1065. C8×D4C2×D53semidirect
1074. #416C2×D53semidirect
1075. #416C2×D53semidirect
1081. C53#61494semidirect

Maximal subgroups

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

subgroupindex
#202887122
#202886722
#202877602
#202876392
#202874122
#202873472
#202872972
#202872192
#202872152
#202866612
#202866502
#202865672
#202865602
#202865232
#202863282
#202862562
#202862482
#202854052
#202854012
#202852892
#202849842
#202849702
#202849562
#202849542
#202848612
#202848592
#202836832
#202835502
#202835422
#202834832
C53×#33052
#6149453