Finite Group Databasebeta

← #28267130

Subgroups — #28267130

Order 13568.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288778C211yesmaximal, characteristic, complemented
2#20288768C211yesmaximal, characteristic, complemented
3#20287793C211yesmaximal, characteristic, complemented
4#20287672C211yesmaximal, characteristic, complemented
5#20287362C211yesmaximal, characteristic, complemented
6#20287361C211yesmaximal, characteristic, complemented
7#20287290C211yesmaximal, characteristic, complemented
8#20287264C211yesmaximal, characteristic, complemented
9#20287254C211yesmaximal, characteristic, complemented
10#20286633C211yesmaximal, characteristic, complemented
11#20286628C211yesmaximal, characteristic, complemented
12#20286560C211yesmaximal, characteristic, complemented
13#20286546C211yesmaximal, characteristic, complemented
14#20286545C211yesmaximal, characteristic, complemented
15#20286326C211yesmaximal, characteristic, complemented
16#20286236C211yesmaximal, characteristic, complemented
17#20286233C211yesmaximal, characteristic, complemented
18#20285382C211yesmaximal, characteristic, complemented
19#20285378C211yesmaximal, characteristic, complemented
20#20285280C211yesmaximal, characteristic, complemented
21#20284934C211yesmaximal, characteristic, complemented
22#20284924C211yesmaximal, characteristic, complemented
23#20284896C211yesmaximal, characteristic, complemented
24#20284892C211yesmaximal, characteristic, complemented
25#20284819C211yesmaximal, characteristic, complemented
26#20284817C211yesmaximal, characteristic, complemented
27#20283683C211yesmaximal, characteristic, complemented
28#20283541C211yesmaximal, characteristic, complemented
29#20283540C211yesmaximal, characteristic, complemented
30#20283483C211yesmaximal, characteristic, complemented
31C53×#3297C211yesmaximal, characteristic, complemented
32C2×#13133243C2211yescharacteristic
33C2×#13133241C2211yescharacteristic
34C2×#13133237C2211yescharacteristic
35#16811343C2211yescharacteristic, complemented
36#16811343C2211yescharacteristic, complemented
37#16811342C2211yescharacteristic, complemented
38#16811341C2211yescharacteristic, complemented
39#16811330C2211yescharacteristic, complemented
40#16811329C2211yescharacteristic, complemented
41#16811325—21no—
42#16811320—21no—
43#16811320C2211yescharacteristic
44#16811310—21no—
45#16811309—21no—
46#16811308C2211yescharacteristic
47#16811307C2211yescharacteristic
48#16811304—21no—
49#16811302—21no—
50#16811299—21no—
51#16811296—21no—
52#16811278C2211yescharacteristic
53#16811272C2211yescharacteristic
54#16811270C2211yescharacteristic
55#16811270C2211yescharacteristic, complemented
56#16811267C2211yescharacteristic
57#16811242C2211yescharacteristic
58#16811240C2211yescharacteristic
59#16811236C2211yescharacteristic, complemented
60#16811233C2211yescharacteristic, complemented
61#16811218—21no—
62#16811216—21no—
63#16811208—21no—
64#16811205—21no—
65#16811155—21no—
66#16811154C2211yescharacteristic, complemented
67#16811154C2211yescharacteristic, complemented
68#16811153C2211yescharacteristic
69#16811150—21no—
70C2×#13133210—21no—
71#126×D53—21no—
72#16811104C2211yescharacteristic
73#16811102C2211yescharacteristic
74#16811098C2211yescharacteristic, complemented
75#16811095C2211yescharacteristic, complemented
76#41×Dic53C2211yescharacteristic, complemented
77#16811091C2211yescharacteristic, complemented
78#16811033C2211yescharacteristic, complemented
79#16811030C2211yescharacteristic, complemented
80#16811024C2211yescharacteristic, complemented
81#16811018C2211yescharacteristic, complemented
82#16811014C2211yescharacteristic, complemented
83#16811006C2211yescharacteristic
84#16810976C2211yescharacteristic, complemented
85#16810976C2211yescharacteristic, complemented
86#16810976C2211yescharacteristic, complemented
87#16810974C2211yescharacteristic, complemented
88#16810972C2211yescharacteristic, complemented
89#16810965C2211yescharacteristic, complemented
90#16810965C2211yescharacteristic, complemented
91#16810964C2211yescharacteristic, complemented
92#16810963C2211yescharacteristic, complemented
93#16810960C2211yescharacteristic, complemented
94#16810955C2211yescharacteristic, complemented
95#16810953C2211yescharacteristic, complemented
96#16810945C2211yescharacteristic
97#16810944C2211yescharacteristic
98#16810944C2211yescharacteristic, complemented
99#16810929C2211yescharacteristic, complemented
100#16810929C2211yescharacteristic, complemented
101#16810928C2211yescharacteristic, complemented
102#16810927C2211yescharacteristic, complemented
103#16810926C2211yescharacteristic, complemented
104#16810922C2211yescharacteristic, complemented
105#16810921C2211yescharacteristic, complemented
106#16810913C2211yescharacteristic, complemented
107#16810911C2211yescharacteristic, complemented
108#16810904C2211yescharacteristic, complemented
109#16810901C2211yescharacteristic, complemented
110#16810880C2211yescharacteristic, complemented
111#16810879C2211yescharacteristic, complemented
112#16810868C2211yescharacteristic
113#16810867C2211yescharacteristic
114#16810864C2211yescharacteristic, complemented
115#16810864C2211yescharacteristic, complemented
116#16810863C2211yescharacteristic, complemented
117#16810851C2211yescharacteristic
118#16810850C2211yescharacteristic, complemented
119#16810850C2211yescharacteristic, complemented
120#16810844C2211yescharacteristic, complemented
121#16810843C2211yescharacteristic, complemented
122#16810837C2211yescharacteristic
123#16810836C2211yescharacteristic
124#16810836C2211yescharacteristic
125#16810836C2211yescharacteristic
126#16810835C2211yescharacteristic
127#16810834C2211yescharacteristic, complemented
128#16810832C2211yescharacteristic, complemented
129#16810828C2211yescharacteristic, complemented
130#16810827C2211yescharacteristic, complemented
131#16810787C2211yescharacteristic
132#16810787C2211yescharacteristic, complemented
133#16810786C2211yescharacteristic
134#16810786C2211yescharacteristic
135#16810785C2211yescharacteristic, complemented
136#16810783C2211yescharacteristic
137#16810774C2211yescharacteristic, complemented
138#16810772C2211yescharacteristic, complemented
139#16810766C2211yescharacteristic
140#16810755C2211yescharacteristic
141#16810752C2211yescharacteristic, complemented
142C8×Dic106C2211yescharacteristic, complemented
143#16810735C2211yescharacteristic
144#16810733C2211yescharacteristic
145#16810732C2211yescharacteristic
146#16810732C2211yescharacteristic
147#16810729C2211yescharacteristic, complemented
148#16810727C2211yescharacteristic, complemented
149#16810724C2211yescharacteristic, complemented
150#16810723C2211yescharacteristic, complemented
151#16810722C2211yescharacteristic, complemented
152#16810720C2211yescharacteristic, complemented
153#16810720C2211yescharacteristic, complemented
154#16810720C2211yescharacteristic, complemented
155#16810717C2211yescharacteristic, complemented
156#16810715C2211yescharacteristic, complemented
157#16810715C2211yescharacteristic, complemented
158#16810714C2211yescharacteristic, complemented
159#16810714C2211yescharacteristic, complemented
160#16810714C2211yescharacteristic, complemented
161#16810714C2211yescharacteristic, complemented
162#16810714C2211yescharacteristic, complemented
163C4×#11719913C2211yescharacteristic, complemented
164#16810708C2211yescharacteristic, complemented
165#16810708C2211yescharacteristic, complemented
166D8×Dic53C2211yescharacteristic
167#16810703C2211yescharacteristic
168#16810703C2211yescharacteristic
169#16810703C2211yescharacteristic
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#16810664C2211yescharacteristic, complemented
179#16810663C2211yescharacteristic, complemented
180#16810659C2211yescharacteristic, complemented
181#16810620C2211yescharacteristic
182#16810620C2211yescharacteristic, complemented
183#16810616C2211yescharacteristic
184#102×D53C2211yescharacteristic, complemented
185#16810578C2211yescharacteristic, complemented
186#16810577C2211yescharacteristic, complemented
187C2×C8×Dic53C2211yescharacteristic, complemented
188C53×#553C2211yescharacteristic
189C53×#546C2211yescharacteristic, complemented
190C53×#488C2211yescharacteristic, complemented
191C53×#484C2211yescharacteristic, complemented
192C53×#482C2211yescharacteristic, complemented
193C53×#478C2211yescharacteristic, complemented
194C53×#466C2211yescharacteristic
195C53×#465C2211yescharacteristic
196C53×#463C2211yescharacteristic
197C53×#449C2211yescharacteristic
198C53×#447C2211yescharacteristic
199C4×D8×C53C2211yescharacteristic
200C8×D4×C53C2211yescharacteristic, complemented
201C53×#416C2211yescharacteristic, complemented
202C2×#102×C53C2211yescharacteristic, complemented
203C2×#11719945C2311yescharacteristic
204C2×#11719945C2311yescharacteristic
205C2×#11719947C2311yescharacteristic
206C2×D4×D53C2311yescharacteristic
207#13133243—24no—
208#13133241—24no—
209#13133237—24no—
210C2×Dic212C2311yescharacteristic
211C2×Dic212C2311yescharacteristic
212C2×#11719925C2311yescharacteristic
213C2×#11719925C2311yescharacteristic
214C2×#11719913C2311yescharacteristic
215C2×#11719923C2311yescharacteristic
216C2×#11719923C2311yescharacteristic
217C2×#11719923C2311yescharacteristic
218C2×#11719923C2311yescharacteristic
219C2×#11719923C2311yescharacteristic
220C2×#11719924C2311yescharacteristic
221C2×#11719922C2311yescharacteristic
222C2×#11719922C2311yescharacteristic
223C2×#11719917C2311yescharacteristic
224C2×#11719912C2311yescharacteristic
225C22×#88322C2311yescharacteristic
226C2×C8×D53C2311yescharacteristic
227#13133217C2311yescharacteristic
228#13133217C2311yescharacteristic
229#13133216C2311yescharacteristic
230#13133215C2311yescharacteristic
231#13133212—21no—
232#13133212—21no—
233#13133212—21no—
234#13133212D411yescharacteristic
235#13133211—21no—
236#13133210—21no—
237#13133210—21no—
238#13133210—21no—
239#13133210—21no—
240#13133210—21no—
241#13133210—21no—
242#13133210—21no—
243#13133210—21no—
244#13133210—21no—
245#13133210—21no—
246#13133210—21no—
247#13133210—21no—
248#13133210—21no—
249#13133210—21no—
250#13133210—21no—
251#13133210D411yescharacteristic
252#13133208—21no—
253#13133208—21no—
254#13133208—21no—
255#13133208C2311yescharacteristic
256#13133208C2311yescharacteristic
257#13133208C2311yescharacteristic
258#13133207—21no—
259#13133207—21no—
260#13133207—21no—
261#13133207D411yescharacteristic
262#13133204—21no—
263#13133204—21no—
264#13133204C2311yescharacteristic
265#13133204C2311yescharacteristic
266#13133204C2311yescharacteristic
267#13133203—21no—
268#13133203—21no—
269#13133203D411yescharacteristic
270#13133201—21no—
271#13133201D411yescharacteristic
272#13133200—21no—
273#13133200—21no—
274#13133199—21no—
275#13133199—21no—
276#13133199—21no—
277#13133199—21no—
278#13133199—21no—
279#13133198—21no—
280#13133198—21no—
281#13133198—21no—
282#13133198—21no—
283#13133198—21no—
284#13133198—21no—
285#13133198D411yescharacteristic
286#13133197—21no—
287#13133197C2311yescharacteristic
288#13133197C2311yescharacteristic
289#13133196—21no—
290#13133196—21no—
291#13133196C2311yescharacteristic
292#13133196C2311yescharacteristic
293#13133196C2311yescharacteristic
294#13133196C2311yescharacteristic
295#13133195—21no—
296#13133195—21no—
297#13133194—21no—
298#13133194—21no—
299#13133194—21no—
300#13133194—21no—
301#13133194—21no—
302#13133194D411yescharacteristic
303#13133193C2311yescharacteristic
304#13133189—21no—
305#13133189—21no—
306#13133189D411yescharacteristic
307#13133188—21no—
308#13133188—21no—
309#13133188—21no—
310#13133188—21no—
311#13133188C2311yescharacteristic
312#13133186—21no—
313#13133185—21no—
314#13133185—21no—
315Q8×Dic53C2311yescharacteristic
316Q8×Dic53C2311yescharacteristic
317C4×Dic106—21no—
318C4×Dic106C2311yescharacteristic
319C4×Dic106C2311yescharacteristic
320#13133182—21no—
321#13133182C2311yescharacteristic
322#13133182C2311yescharacteristic
323#13133182C2311yescharacteristic
324#13133182C2311yescharacteristic
325#13133182C2311yescharacteristic
326C4×D212C2311yescharacteristic
327D4×Dic53—21no—
328D4×Dic53—21no—
329D4×Dic53—21no—
330D4×Dic53—21no—
331D4×Dic53—21no—
332D4×Dic53—21no—
333D4×Dic53C2311yescharacteristic
334D4×Dic53C2311yescharacteristic
335D4×Dic53C2311yescharacteristic
336D4×Dic53C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339#13133179C2311yescharacteristic
340#13133179C2311yescharacteristic
341#13133179C2311yescharacteristic
342C4×C22⋊D53—21no—
343C4×C22⋊D53—21no—
344C4×C22⋊D53—21no—
345C4×C22⋊D53—21no—
346C4×C22⋊D53C2311yescharacteristic
347C4×C22⋊D53C2311yescharacteristic
348#13133177—21no—
349#13133177—21no—
350#13133177—21no—
351#13133177—21no—
352#13133177—21no—
353#13133176—21no—
354#13133176—21no—
355#13133176—21no—
356#13133176C2311yescharacteristic
357#13133176C2311yescharacteristic
358#13133176C2311yescharacteristic
359#13133175—21no—
360#13133175—21no—
361#13133175C2311yescharacteristic
362#13133174—21no—
363#13133174C2311yescharacteristic
364#13133173—21no—
365#13133173—21no—
366#13133173—21no—
367#13133173—21no—
368C2×C4⋊Dic53—21no—
369C2×#11719919—21no—
370C2×#11719919—21no—
371C4⋊C4×D53—21no—
372C4⋊C4×D53—21no—
373C4⋊C4×D53—21no—
374C4⋊C4×D53C2311yescharacteristic
375C2×C22⋊Dic53—21no—
376C2×C22⋊Dic53—21no—
377C2×C22⋊Dic53—21no—
378C2×#11719921—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#13133149C2311yescharacteristic
392#13133148C2311yescharacteristic
393#13133148C2311yescharacteristic
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#13133142C2311yescharacteristic
407#13133142C2311yescharacteristic
408#13133142C2311yescharacteristic
409#13133142C2311yescharacteristic
410#13133141C2311yescharacteristic
411#13133140C2311yescharacteristic
412#13133140C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
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
439C22×D4×C53C2311yescharacteristic
440C2×SD16×C53C2311yescharacteristic
441C2×D8×C53C2311yescharacteristic
442C2×D8×C53C2311yescharacteristic
443C22×C8×C53C2311yescharacteristic
444C22×C8×C53C2311yescharacteristic
445#126×C53—21no—
446#125×C53C2311yescharacteristic
447#124×C53C2311yescharacteristic
448#123×C53—21no—
449#123×C53—21no—
450C22⋊Q8×C53C2311yescharacteristic
451#121×C53—21no—
452#121×C53—21no—
453#121×C53C2311yescharacteristic
454#121×C53C2311yescharacteristic
455#121×C53C2311yescharacteristic
456#120×C53—21no—
457C4×D4×C53—21no—
458C4×D4×C53C2311yescharacteristic
459C4×D4×C53C2311yescharacteristic
460C4×D4×C53C2311yescharacteristic
461#117×C53C2311yescharacteristic
462C2×C4⋊C4×C53C2311yescharacteristic
463C2×C22⋊C4×C53—21no—
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
481C24×C53—21no—
482C23×D53—21no—
483#41×C53—22no—
484#41×C53—41no—
485C2×Q8×C53C2411yescharacteristic
486C2×D4×C53—22no—
487C2×D4×C53—21no—
488C2×D4×C53—21no—
489C2×D4×C53—21no—
490C2×D4×C53—21no—
491C2×D4×C53—21no—
492C2×D4×C53—41no—
493C2×D4×C53C2×D411yescharacteristic
494C2×D4×C53C2411yescharacteristic
495C2×D4×C53C2411yescharacteristic
496C2×D4×C53C2411yescharacteristic
497C22×C4×C53—21no—
498C22×C4×C53—21no—
499C22×C4×C53—21no—
500C22×C4×C53—21no—
501C22×C4×C53C2411yescharacteristic
502C22×C4×C53C2411yescharacteristic
503C2×C22⋊D53—21no—
504C2×C22⋊D53—21no—
505C2×C22⋊D53—21no—
506C2×C22⋊D53—21no—
507C2×C22⋊D53—21no—
508C2×C22⋊D53C2×D411yescharacteristic
509C2×C22⋊D53C2×D411yescharacteristic
510C22×Dic53—21no—
511C22×Dic53—21no—
512C22×Dic53—21no—
513C22×Dic53—21no—
514C22×Dic53—21no—
515C22×Dic53—21no—
516C22×Dic53—21no—
517C22×Dic53C2×D411yescharacteristic
518C22×Dic53C2×D411yescharacteristic
519#11719947—22no—
520#11719947—41no—
521D4×D53—22no—
522D4×D53—41no—
523#11719945—22no—
524#11719945—22no—
525#11719945—41no—
526#11719945—41no—
527C2×D212C2411yescharacteristic
528C2×C4×D53—21no—
529C2×C4×D53—21no—
530C2×C4×D53—21no—
531C2×C4×D53—21no—
532C2×C4×D53—21no—
533C2×C4×D53—21no—
534C2×C4×D53—21no—
535C2×C4×D53C2411yescharacteristic
536C2×Dic106—21no—
537C2×Dic106—21no—
538C2×Dic106C2×D411yescharacteristic
539C2×Dic106C2411yescharacteristic
540C2×Dic106C2411yescharacteristic
541C2×Dic106C2411yescharacteristic
542SD16×C53—41no—
543D8×C53—22no—
544D8×C53—41no—
545C2×C8×C53—41no—
546C2×C8×C53—41no—
547C2×C8×C53C2411yescharacteristic
548C2×C8×C53C2411yescharacteristic
549C2×C8×C53C2411yescharacteristic
550C2×C8×C53C2411yescharacteristic
551C4⋊C4×C53—21no—
552C4⋊C4×C53—21no—
553C4⋊C4×C53—21no—
554C4⋊C4×C53—21no—
555C4⋊C4×C53C2×D411yescharacteristic
556C4⋊C4×C53C2411yescharacteristic
557C4⋊C4×C53C2411yescharacteristic
558C4⋊C4×C53C2411yescharacteristic
559C4⋊C4×C53C2411yescharacteristic
560C22⋊C4×C53—21no—
561C22⋊C4×C53—21no—
562C22⋊C4×C53—21no—
563C22⋊C4×C53—21no—
564C22⋊C4×C53—21no—
565C22⋊C4×C53—21no—
566C22⋊C4×C53—21no—
567C22⋊C4×C53—21no—
568C22⋊C4×C53—21no—
569C22⋊C4×C53C2×D411yescharacteristic
570C22⋊C4×C53C2×D411yescharacteristic
571C42×C53—21no—
572C42×C53C2411yescharacteristic
573C22⋊Dic53—21no—
574C22⋊Dic53—21no—
575C22⋊Dic53—21no—
576C22⋊Dic53—21no—
577C22⋊Dic53—21no—
578C22⋊Dic53—21no—
579C22⋊Dic53—21no—
580C22⋊Dic53—21no—
581C22⋊Dic53—21no—
582C22⋊Dic53—21no—
583C22⋊Dic53—21no—
584C22⋊Dic53—21no—
585C22⋊Dic53—21no—
586C22⋊Dic53—21no—
587C22⋊Dic53—21no—
588C22⋊Dic53—21no—
589C22⋊Dic53—21no—
590C22⋊Dic53—21no—
591C22⋊Dic53—21no—
592C22⋊Dic53C2×D411yescharacteristic
593C22⋊Dic53C2×D411yescharacteristic
594C22⋊Dic53C2×D411yescharacteristic
595C22⋊Dic53C2×D411yescharacteristic
596#11719925—22no—
597#11719925—41no—
598#11719924—22no—
599#11719923—22no—
600#11719923—22no—
601#11719923—22no—
602#11719923—22no—
603#11719923—41no—
604#11719922—22no—
605#11719922#4114yes—
606#11719921—21no—
607#11719921—21no—
608#11719921—21no—
609#11719921—21no—
610#11719921—21no—
611#11719921—21no—
612#11719921—21no—
613#11719921—21no—
614#11719921C2×D411yescharacteristic
615#11719921C2×D411yescharacteristic
616#11719921C2×D411yescharacteristic
617#11719921C2×D411yescharacteristic
618C4⋊Dic53—21no—
619C4⋊Dic53—21no—
620C4⋊Dic53—21no—
621C4⋊Dic53—21no—
622C4⋊Dic53—21no—
623C4⋊Dic53—21no—
624C4⋊Dic53—21no—
625C4⋊Dic53—21no—
626C4⋊Dic53—21no—
627C4⋊Dic53—21no—
628C4⋊Dic53C2×D411yescharacteristic
629C4⋊Dic53C2×D411yescharacteristic
630C4⋊Dic53C2×D411yescharacteristic
631C4⋊Dic53C2411yescharacteristic
632C4⋊Dic53C2411yescharacteristic
633C4⋊Dic53C2411yescharacteristic
634C4⋊Dic53C2411yescharacteristic
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919—21no—
645#11719919—21no—
646#11719919—21no—
647#11719919—21no—
648#11719919—21no—
649#11719919—21no—
650#11719919—21no—
651#11719919—21no—
652#11719919—21no—
653#11719919C2×D411yescharacteristic
654#11719919C2×D411yescharacteristic
655#11719919C2×D411yescharacteristic
656#11719919C2×D411yescharacteristic
657#11719919C2×D411yescharacteristic
658#11719919C2×D411yescharacteristic
659C4×Dic53—21no—
660C4×Dic53—21no—
661C4×Dic53—21no—
662C4×Dic53—21no—
663C4×Dic53—21no—
664C4×Dic53—21no—
665C4×Dic53—21no—
666C4×Dic53—21no—
667C4×Dic53—21no—
668C4×Dic53—21no—
669C4×Dic53—21no—
670C4×Dic53C2×D411yescharacteristic
671C4×Dic53C2×D411yescharacteristic
672C4×Dic53C2411yescharacteristic
673C4×Dic53C2411yescharacteristic
674C4×Dic53C2411yescharacteristic
675#11719917—22no—
676C2×#88322—22no—
677C2×#88322C2411yescharacteristic
678C2×#88322C2411yescharacteristic
679C2×#88322C2411yescharacteristic
680C2×#88322C2411yescharacteristic
681Dic212—41no—
682Dic212—41no—
683#11719913—22no—
684#11719912—22no—
685C8×D53—41no—
686C23×C53—21no—
687C23×C53—21no—
688C23×C53—21no—
689C23×C53—42no—
690C23×C53—81no—
691C23×C53—81no—
692C23×C53C22×D411yescharacteristic
693C23×C53C22×D411yescharacteristic
694C22×D53—21no—
695C22×D53—42no—
696C22×D53—81no—
697C22×D53—81no—
698C22×D53C22×D411yescharacteristic
699Q8×C53—21no—
700Q8×C53—21no—
701D4×C53—21no—
702D4×C53—21no—
703D4×C53—21no—
704D4×C53—21no—
705D4×C53—21no—
706D4×C53—41no—
707D4×C53—42no—
708D4×C53—42no—
709D4×C53—81no—
710D4×C53—81no—
711D4×C53—81no—
712D4×C53C2×#4112yes—
713C2×C4×C53—21no—
714C2×C4×C53—21no—
715C2×C4×C53—21no—
716C2×C4×C53—21no—
717C2×C4×C53—21no—
718C2×C4×C53—21no—
719C2×C4×C53—21no—
720C2×C4×C53—21no—
721C2×C4×C53—21no—
722C2×C4×C53—42no—
723C2×C4×C53—81no—
724C2×C4×C53—81no—
725C2×C4×C53—81no—
726C2×C4×C53C22×D411yescharacteristic
727C2×C4×C53C22×D411yescharacteristic
728C2×C4×C53C22×D411yescharacteristic
729C2×C4×C53C22×D411yescharacteristic
730C2×C4×C53C2511yescharacteristic
731C22⋊D53—41no—
732C22⋊D53—41no—
733C22⋊D53—42no—
734C22⋊D53—42no—
735C22⋊D53—42no—
736C22⋊D53—42no—
737C22⋊D53—81no—
738C2×Dic53—21no—
739C2×Dic53—21no—
740C2×Dic53—21no—
741C2×Dic53—21no—
742C2×Dic53—21no—
743C2×Dic53—21no—
744C2×Dic53—21no—
745C2×Dic53—41no—
746C2×Dic53—41no—
747C2×Dic53—42no—
748C2×Dic53—81no—
749C2×Dic53—81no—
750C2×Dic53—81no—
751C2×Dic53—81no—
752C2×Dic53—81no—
753C2×Dic53—81no—
754C2×Dic53C22×D411yescharacteristic
755C2×Dic53C22×D411yescharacteristic
756C2×Dic53C22×D411yescharacteristic
757C2×Dic53C22×D411yescharacteristic
758C2×Dic53C22×D411yescharacteristic
759C2×Dic53C22×D411yescharacteristic
760C2×Dic53C22×D411yescharacteristic
761D212—21no—
762D212C2×#4112yes—
763C4×D53—21no—
764C4×D53—21no—
765C4×D53—42no—
766C4×D53—42no—
767C4×D53—81no—
768C4×D53—81no—
769C4×D53—81no—
770C4×D53—81no—
771C4×D53—81no—
772Dic106—21no—
773Dic106—21no—
774Dic106—21no—
775Dic106—21no—
776Dic106—21no—
777Dic106—21no—
778Dic106—41no—
779Dic106—81no—
780Dic106—81no—
781C8×C53—21no—
782C8×C53—21no—
783C8×C53—21no—
784C8×C53—21no—
785#88322—21no—
786#88322—21no—
787#88322—21no—
788#88322C2×#4112yes—
789#61501—531nomaximal, Sylow
790C22×C53—21no—
791C22×C53—21no—
792C22×C53—21no—
793C22×C53—21no—
794C22×C53—22no—
795C22×C53—21no—
796C22×C53—21no—
797C22×C53—41no—
798C22×C53—41no—
799C22×C53—41no—
800C22×C53—41no—
801C22×C53—41no—
802C22×C53—41no—
803C22×C53—41no—
804C22×C53—41no—
805C22×C53—162no—
806C22×C53C23×D411yescharacteristic
807C2×D53—21no—
808C2×D53—21no—
809C2×D53—21no—
810C2×D53—22no—
811C2×D53—41no—
812C2×D53—41no—
813C2×D53—162no—
814C4×C53—21no—
815C4×C53—21no—
816C4×C53—21no—
817C4×C53—21no—
818C4×C53—41no—
819C4×C53—41no—
820C4×C53—41no—
821C4×C53—41no—
822C4×C53—41no—
823C4×C53C22×#4111yescharacteristic
824C4×C53#58511yescharacteristic
825Dic53—21no—
826Dic53—21no—
827Dic53—21no—
828Dic53—21no—
829Dic53—21no—
830Dic53—21no—
831Dic53—21no—
832Dic53—41no—
833Dic53—41no—
834Dic53—41no—
835Dic53—41no—
836Dic53—41no—
837Dic53—41no—
838Dic53—41no—
839#3521—531no—
840#3521—531no—
841#3402—531no—
842#3389—531no—
843#3360—531no—
844#3360—531no—
845#3352—531no—
846#3350—531no—
847#3350—531no—
848#3302—531no—
849#3302—531no—
850#3297—531no—
851#3297D5311yescharacteristic, complemented
852#3296—531no—
853#3296—531no—
854#3273—531no—
855#3267—531no—
856#3267—531no—
857#3178—531no—
858#3178—531no—
859#3168—531no—
860#3120—531no—
861#3120—531no—
862#3118—531no—
863#3118—531no—
864#3111—531no—
865#3111—531no—
866#2966—531no—
867#2946—531no—
868#2946—531no—
869C4×#135—531no—
870C2×C53—41no—
871C2×C53—41no—
872C2×C53—42no—
873C2×C53—81no—
874C2×C53—81no—
875C2×C53D4×#4111yescharacteristic
876C2×C53#358411yescharacteristic
877C2×C53#358411yescharacteristic
878D53—41no—
879D53—42no—
880C2×AGL(1,ℤ/8)—531no—
881C2×AGL(1,ℤ/8)—531no—
882C2×#135—531no—
883#556—531no—
884#556—531no—
885#556—531no—
886#556—531no—
887#554—531no—
888#554—531no—
889#553—531no—
890#553—1061no—
891#553—1061no—
892#553C2×D5311yescharacteristic
893#552—531no—
894#552—531no—
895#552—1061no—
896#552—1061no—
897#551—1061no—
898#551—1061no—
899#551—1061no—
900#551—1061no—
901#547—531no—
902#547—531no—
903#546—531no—
904#546—531no—
905#546—531no—
906#546C2×D5311yescharacteristic, complemented
907#542—531no—
908#542—531no—
909#541—531no—
910#541—531no—
911#539—1061no—
912#539—1061no—
913#538—1061no—
914#538—1061no—
915#529—531no—
916#529—531no—
917#529—531no—
918#529—1061no—
919#529—1061no—
920C2×#126—1061no—
921C2×#126—1061no—
922#520—531no—
923#520—531no—
924#518—531no—
925#518—531no—
926C4×#41—531no—
927C4×#41—531no—
928#501—531no—
929#501—531no—
930#499—531no—
931#497—531no—
932#497—531no—
933#495—531no—
934#488—531no—
935#488—531no—
936#488—531no—
937#488C2×D5311yescharacteristic, complemented
938#487—531no—
939#487—531no—
940#485—531no—
941#485—531no—
942#485—531no—
943#485—531no—
944#484—531no—
945#484C2×D5311yescharacteristic, complemented
946#483—531no—
947#483—531no—
948#482—531no—
949#482—531no—
950#482—531no—
951#482C2×D5311yescharacteristic, complemented
952#479—531no—
953#479—531no—
954#479—531no—
955#479—531no—
956#478—531no—
957#478—531no—
958#478—531no—
959#478C2×D5311yescharacteristic, complemented
960#476—531no—
961#476—531no—
962#474—531no—
963#474—531no—
964#470—531no—
965#470—531no—
966#468—531no—
967#468—531no—
968#467—531no—
969#467—531no—
970#467—531no—
971#466C2×D5311yescharacteristic
972#465—531no—
973#465—531no—
974#465—531no—
975#465C2×D5311yescharacteristic
976#464—531no—
977#464—531no—
978#463—531no—
979#463—531no—
980#463—531no—
981#463—531no—
982#463—531no—
983#463C2×D5311yescharacteristic
984#462—531no—
985#462—531no—
986#461—531no—
987#461—531no—
988#452—531no—
989#452—531no—
990#452—531no—
991#452—531no—
992#452—531no—
993#452—531no—
994#450—531no—
995#450—531no—
996#449—531no—
997#449C2×D5311yescharacteristic
998#447—531no—
999#447C2×D5311yescharacteristic
1000#446—531no—
1001C8×Q8—531no—
1002#442—531no—
1003#442—531no—
1004#442—531no—
1005#442—531no—
1006#441—531no—
1007#441—531no—
1008#440—531no—
1009#440—531no—
1010#440—531no—
1011#440—531no—
1012#440—531no—
1013#440—531no—
1014C4×Q16—531no—
1015C4×Q16—531no—
1016C4×Q16—531no—
1017C4×SD16—531no—
1018C4×SD16—531no—
1019C4×SD16—531no—
1020C4×SD16—531no—
1021C4×SD16—531no—
1022C4×SD16—531no—
1023C4×SD16—531no—
1024C4×SD16—531no—
1025C4×D8—531no—
1026C4×D8—531no—
1027C4×D8—531no—
1028C4×D8—531no—
1029C4×D8C2×D5311yescharacteristic
1030#436—531no—
1031#435—531no—
1032#435—531no—
1033C8×D4—531no—
1034C8×D4—531no—
1035C8×D4C2×D5311yescharacteristic, complemented
1036#433—531no—
1037#433—531no—
1038#432—531no—
1039#428—531no—
1040#428—531no—
1041#427—531no—
1042#416—531no—
1043#416—531no—
1044#416—531no—
1045#416C2×D5311yescharacteristic, complemented
1046C2×#102—531no—
1047C2×#102C2×D5311yescharacteristic, complemented
1048#405—531no—
1049#405—531no—
1050C2×C4×C8—531no—
1051C53#6150111yescharacteristic, complemented, Sylow
1052C2×#41—531no—
1053C2×#41—531no—
1054C2×#41—531no—
1055C2×#41C22×D5311yescharacteristic
1056C22×D4—531no—
1057C22×D4C22×D5311yescharacteristic
1058AGL(1,ℤ/8)—1064no—
1059AGL(1,ℤ/8)—1064no—
1060#135—1064no—
1061C2×Q16—531no—
1062C2×Q16—531no—
1063C2×Q16—531no—
1064C2×Q16—531no—
1065C2×SD16—531no—
1066C2×SD16—531no—
1067C2×SD16—531no—
1068C2×SD16—531no—
1069C2×SD16—531no—
1070C2×SD16—531no—
1071C2×SD16—531no—
1072C2×SD16C22×D5311yescharacteristic
1073C2×D8—531no—
1074C2×D8—531no—
1075C2×D8C22×D5311yescharacteristic
1076C2×D8C22×D5311yescharacteristic
1077C2×M16—531no—
1078C2×M16—531no—
1079C22×C8—531no—
1080C22×C8—531no—
1081C22×C8C22×D5311yescharacteristic
1082C22×C8C22×D5311yescharacteristic
1083C4⋊Q8—531no—
1084C4⋊Q8—531no—
1085C4⋊Q8—531no—
1086C4⋊Q8—531no—
1087#126—21no—
1088#126—531no—
1089#126—531no—
1090#126—1061no—
1091#126—1061no—
1092#126—1061no—
1093#126—1061no—
1094#126—1061no—
1095#126—1061no—
1096#126—1061no—
1097#126—1061no—
1098#126—1061no—
1099#126—1061no—
1100#126—1061no—
1101#126—1061no—
1102#126—1061no—
1103#126—1061no—
1104#126—1061no—
1105#126—1061no—
1106#126—1061no—
1107#126—1061no—
1108#126—1061no—
1109#125—531no—
1110#125—531no—
1111#125—531no—
1112#125—531no—
1113#125—1061no—
1114#125—1061no—
1115#125—1061no—
1116#125—1061no—
1117#125—1061no—
1118#125—1061no—
1119#125C22×D5311yescharacteristic
1120#124—531no—
1121#124—531no—
1122#124—531no—
1123#124—531no—
1124#124—1061no—
1125#124—1061no—
1126#124—1061no—
1127#124—1061no—
1128#124C22×D5311yescharacteristic
1129#123—21no—
1130#123—21no—
1131#123—531no—
1132#123—531no—
1133#123—1061no—
1134#123—1061no—
1135#123—1061no—
1136#123—1061no—
1137#123—1061no—
1138#123—1061no—
1139#123—1061no—
1140#123—1061no—
1141#123—1061no—
1142#123—1061no—
1143#123—1061no—
1144#123—1061no—
1145#123—1061no—
1146#123—1061no—
1147C22⋊Q8—531no—
1148C22⋊Q8—531no—
1149C22⋊Q8—531no—
1150C22⋊Q8—531no—
1151C22⋊Q8—531no—
1152C22⋊Q8—531no—
1153C22⋊Q8—531no—
1154C22⋊Q8—531no—
1155C22⋊Q8—1061no—
1156C22⋊Q8—1061no—
1157C22⋊Q8—1061no—
1158C22⋊Q8—1061no—
1159C22⋊Q8—1061no—
1160C22⋊Q8—1061no—
1161C22⋊Q8—1061no—
1162C22⋊Q8—1061no—
1163C22⋊Q8—1061no—
1164C22⋊Q8—1061no—
1165C22⋊Q8C22×D5311yescharacteristic
1166#121—21no—
1167#121—21no—
1168#121—531no—
1169#121—531no—
1170#121—1061no—
1171#121—1061no—
1172#121—1061no—
1173#121—1061no—
1174#121—1061no—
1175#121—1061no—
1176#121C22×D5311yescharacteristic
1177#121C22×D5311yescharacteristic
1178#121C22×D5311yescharacteristic
1179#120—21no—
1180#120—1061no—
1181#120—1061no—
1182#120—1061no—
1183C4×Q8—531no—
1184C4×Q8—531no—
1185C4×Q8—531no—
1186C4×Q8—531no—
1187C4×Q8—531no—
1188C4×Q8—531no—
1189C4×Q8—531no—
1190C4×Q8—531no—
1191C4×Q8—531no—
1192C4×Q8—1061no—
1193C4×Q8—1061no—
1194C4×D4—21no—
1195C4×D4—531no—
1196C4×D4—531no—
1197C4×D4—531no—
1198C4×D4—531no—
1199C4×D4—531no—
1200C4×D4—531no—
1201C4×D4—531no—
1202C4×D4—531no—
1203C4×D4—531no—
1204C4×D4—531no—
1205C4×D4—531no—
1206C4×D4—531no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4—1061no—
1210C4×D4—1061no—
1211C4×D4—1061no—
1212C4×D4—1061no—
1213C4×D4—1061no—
1214C4×D4—1061no—
1215C4×D4—1061no—
1216C4×D4—1061no—
1217C4×D4—1061no—
1218C4×D4—1061no—
1219C4×D4—1061no—
1220C4×D4—1061no—
1221C4×D4—1061no—
1222C4×D4C22×D5311yescharacteristic
1223C4×D4C22×D5311yescharacteristic
1224C4×D4C22×D5311yescharacteristic
1225#117—531no—
1226#117—531no—
1227#117—531no—
1228#117—531no—
1229#117—531no—
1230#117—1061no—
1231#117—1061no—
1232#117—1061no—
1233#117—1061no—
1234#117—1061no—
1235#117—1061no—
1236#117—1061no—
1237#117—1061no—
1238#117—1061no—
1239#117—1061no—
1240#117C22×D5311yescharacteristic
1241C2×C4⋊C4—531no—
1242C2×C4⋊C4—1061no—
1243C2×C4⋊C4—1061no—
1244C2×C4⋊C4—1061no—
1245C2×C4⋊C4—1061no—
1246C2×C4⋊C4—1061no—
1247C2×C4⋊C4—1061no—
1248C2×C4⋊C4C22×D5311yescharacteristic
1249C2×C22⋊C4—21no—
1250C2×C22⋊C4—1061no—
1251C2×C22⋊C4—1061no—
1252C2×C22⋊C4—1061no—
1253C2×C22⋊C4—1061no—
1254C2×C22⋊C4—1061no—
1255C2×C22⋊C4—1061no—
1256C2×C22⋊C4—1061no—
1257C2×C42—531no—
1258C2×C42—1061no—
1259C2×C42—1061no—
1260#107—531no—
1261#107—531no—
1262#107—531no—
1263#107—531no—
1264#107—531no—
1265#107—531no—
1266#107C22×D5311yescharacteristic
1267#107C22×D5311yescharacteristic
1268#106—531no—
1269#106—531no—
1270#106—531no—
1271#106—531no—
1272#106—531no—
1273#106—531no—
1274#106—531no—
1275#106C22×D5311yescharacteristic
1276C4⋊C8—531no—
1277C4⋊C8—531no—
1278C4⋊C8—531no—
1279C4⋊C8—531no—
1280C4⋊C8—531no—
1281C4⋊C8C22×D5311yescharacteristic
1282#103—531no—
1283#103—531no—
1284#103—531no—
1285#103—531no—
1286#103—531no—
1287#103—531no—
1288#103—531no—
1289#103—531no—
1290#103—531no—
1291#103—531no—
1292#103—531no—
1293#103—531no—
1294#103—531no—
1295#103C22×D5311yescharacteristic
1296#103C22×D5311yescharacteristic
1297#103C22×D5311yescharacteristic
1298#102—531no—
1299#102—531no—
1300#102—531no—
1301#102—531no—
1302#102—531no—
1303#102—531no—
1304#102—531no—
1305#102—531no—
1306#102—531no—
1307#102C22×D5311yescharacteristic
1308#102C22×D5311yescharacteristic
1309#102C22×D5311yescharacteristic
1310#102C22×D5311yescharacteristic
1311#102C22×D5311yescharacteristic
1312#102C22×D5311yescharacteristic
1313#102C22×D5311yescharacteristic
1314C22⋊C8—531no—
1315C22⋊C8—531no—
1316C22⋊C8—531no—
1317C22⋊C8—531no—
1318C22⋊C8C22×D5311yescharacteristic
1319C22⋊C8C22×D5311yescharacteristic
1320#97—531no—
1321#97—531no—
1322#97—531no—
1323#97—531no—
1324C4×C8—531no—
1325C4×C8—531no—
1326C4×C8—531no—
1327C4×C8—531no—
1328C4×C8—531no—
1329C4×C8C22×D5311yescharacteristic
1330C24—21no—
1331C24—1061no—
1332#41—22no—
1333#41—41no—
1334#41—1062no—
1335#41—1062no—
1336#41—1062no—
1337#41—2121no—
1338#41—2121no—
1339#41—2121no—
1340C2×Q8—531no—
1341C2×Q8—531no—
1342C2×Q8—531no—
1343C2×Q8—531no—
1344C2×Q8—1061no—
1345C2×Q8—1061no—
1346C2×Q8C23×D5311yescharacteristic
1347C2×D4—22no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—41no—
1354C2×D4—531no—
1355C2×D4—531no—
1356C2×D4—531no—
1357C2×D4—1061no—
1358C2×D4—1062no—
1359C2×D4—1061no—
1360C2×D4—1061no—
1361C2×D4—1061no—
1362C2×D4—1061no—
1363C2×D4—2121no—
1364C2×D4D4×D5311yescharacteristic
1365C2×D4C23×D5311yescharacteristic
1366C2×D4C23×D5311yescharacteristic
1367C2×D4C23×D5311yescharacteristic
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—531no—
1373C22×C4—531no—
1374C22×C4—531no—
1375C22×C4—1061no—
1376C22×C4—1061no—
1377C22×C4—1061no—
1378C22×C4—1061no—
1379C22×C4—1061no—
1380C22×C4—1061no—
1381C22×C4—1061no—
1382C22×C4—1061no—
1383C22×C4—1061no—
1384C22×C4—1061no—
1385C22×C4—1061no—
1386C22×C4—1061no—
1387C22×C4—1061no—
1388C22×C4—1061no—
1389C22×C4C23×D5311yescharacteristic
1390C22×C4C23×D5311yescharacteristic
1391Q16—1062no—
1392Q16—2121no—
1393Q16—2121no—
1394Q16—2121no—
1395SD16—41no—
1396SD16—1062no—
1397SD16—1062no—
1398SD16—1062no—
1399SD16—1062no—
1400SD16—1062no—
1401SD16—1062no—
1402SD16—2121no—
1403D8—22no—
1404D8—41no—
1405D8—534no—
1406D8—1062no—
1407M16—1062no—
1408M16—1062no—
1409C2×C8—41no—
1410C2×C8—41no—
1411C2×C8—531no—
1412C2×C8—531no—
1413C2×C8—531no—
1414C2×C8—531no—
1415C2×C8—1062no—
1416C2×C8—2121no—
1417C2×C8C23×D5311yescharacteristic
1418C2×C8C23×D5311yescharacteristic
1419C2×C8C23×D5311yescharacteristic
1420C2×C8C23×D5311yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—531no—
1426C4⋊C4—531no—
1427C4⋊C4—531no—
1428C4⋊C4—531no—
1429C4⋊C4—531no—
1430C4⋊C4—531no—
1431C4⋊C4—531no—
1432C4⋊C4—531no—
1433C4⋊C4—531no—
1434C4⋊C4—531no—
1435C4⋊C4—531no—
1436C4⋊C4—531no—
1437C4⋊C4—531no—
1438C4⋊C4—1061no—
1439C4⋊C4—1061no—
1440C4⋊C4—1061no—
1441C4⋊C4—1061no—
1442C4⋊C4—1061no—
1443C4⋊C4—1061no—
1444C4⋊C4—1061no—
1445C4⋊C4—1061no—
1446C4⋊C4—1061no—
1447C4⋊C4—1061no—
1448C4⋊C4—1061no—
1449C4⋊C4—1061no—
1450C4⋊C4—1061no—
1451C4⋊C4—1061no—
1452C4⋊C4—1061no—
1453C4⋊C4—1061no—
1454C4⋊C4—1061no—
1455C4⋊C4—1061no—
1456C4⋊C4—1061no—
1457C4⋊C4—1061no—
1458C4⋊C4—1061no—
1459C4⋊C4—1061no—
1460C4⋊C4—1061no—
1461C4⋊C4—1061no—
1462C4⋊C4—1061no—
1463C4⋊C4—1061no—
1464C4⋊C4—1061no—
1465C4⋊C4—1061no—
1466C4⋊C4D4×D5311yescharacteristic
1467C4⋊C4C23×D5311yescharacteristic
1468C4⋊C4C23×D5311yescharacteristic
1469C4⋊C4C23×D5311yescharacteristic
1470C4⋊C4C23×D5311yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—531no—
1481C22⋊C4—531no—
1482C22⋊C4—531no—
1483C22⋊C4—531no—
1484C22⋊C4—531no—
1485C22⋊C4—531no—
1486C22⋊C4—531no—
1487C22⋊C4—531no—
1488C22⋊C4—1061no—
1489C22⋊C4—1061no—
1490C22⋊C4—1061no—
1491C22⋊C4—1061no—
1492C22⋊C4—1061no—
1493C22⋊C4—1061no—
1494C22⋊C4—1061no—
1495C22⋊C4—1061no—
1496C22⋊C4—1061no—
1497C22⋊C4—1061no—
1498C22⋊C4—1061no—
1499C22⋊C4—1061no—
1500C22⋊C4—1061no—
1501C22⋊C4—1061no—
1502C22⋊C4—1061no—
1503C22⋊C4—1061no—
1504C22⋊C4—1061no—
1505C22⋊C4—1061no—
1506C22⋊C4—1061no—
1507C22⋊C4—1061no—
1508C22⋊C4—1061no—
1509C22⋊C4—1061no—
1510C22⋊C4—1061no—
1511C22⋊C4—1061no—
1512C22⋊C4—1061no—
1513C22⋊C4—1061no—
1514C22⋊C4—1061no—
1515C22⋊C4D4×D5311yescharacteristic
1516C22⋊C4D4×D5311yescharacteristic
1517C42—21no—
1518C42—531no—
1519C42—531no—
1520C42—531no—
1521C42—531no—
1522C42—531no—
1523C42—1061no—
1524C42—1061no—
1525C42—1061no—
1526C42—1061no—
1527C42—1061no—
1528C42—1061no—
1529C42—1061no—
1530C42—1061no—
1531C42—1061no—
1532C42—1061no—
1533C42—1061no—
1534C42C23×D5311yescharacteristic
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—42no—
1539C23—81no—
1540C23—81no—
1541C23—531no—
1542C23—1061no—
1543C23—4241no—
1544C23—4241no—
1545C23—2122no—
1546C23C2×D4×D5311yescharacteristic
1547C23C2×D4×D5311yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—1061no—
1551Q8—1061no—
1552Q8—1061no—
1553Q8—1061no—
1554Q8—1061no—
1555Q8—1061no—
1556Q8—4241no—
1557Q8—4241no—
1558Q8—2121no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—41no—
1565D4—42no—
1566D4—42no—
1567D4—81no—
1568D4—81no—
1569D4—81no—
1570D4—532no—
1571D4—1061no—
1572D4—4241no—
1573D4—2121no—
1574D4—2121no—
1575D4—2122no—
1576D4—2122no—
1577D4—2122no—
1578D4—2122no—
1579D4#41×D5312yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—42no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—531no—
1594C2×C4—531no—
1595C2×C4—531no—
1596C2×C4—531no—
1597C2×C4—531no—
1598C2×C4—531no—
1599C2×C4—531no—
1600C2×C4—1061no—
1601C2×C4—1061no—
1602C2×C4—1061no—
1603C2×C4—1061no—
1604C2×C4—1061no—
1605C2×C4—1061no—
1606C2×C4—1061no—
1607C2×C4—1061no—
1608C2×C4—1061no—
1609C2×C4—4241no—
1610C2×C4—4241no—
1611C2×C4—4241no—
1612C2×C4—4241no—
1613C2×C4—4241no—
1614C2×C4—4241no—
1615C2×C4—4241no—
1616C2×C4—4241no—
1617C2×C4—4241no—
1618C2×C4—4241no—
1619C2×C4—4241no—
1620C2×C4—2122no—
1621C2×C4—2122no—
1622C2×C4—2121no—
1623C2×C4—2121no—
1624C2×C4—2122no—
1625C2×C4C2×D4×D5311yescharacteristic
1626C2×C4C2×D4×D5311yescharacteristic
1627C2×C4C2×D4×D5311yescharacteristic
1628C2×C4C2×D4×D5311yescharacteristic
1629C2×C4C24×D5311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—532no—
1635C8—1061no—
1636C8—1061no—
1637C8—1061no—
1638C22—21no—
1639C22—21no—
1640C22—22no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—162no—
1654C22—8482no—
1655C22—1061no—
1656C22—1062no—
1657C22—1061no—
1658C22—1061no—
1659C22—2121no—
1660C22—2121no—
1661C22C22×D4×D5311yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—1061no—
1672C4—1061no—
1673C4—1061no—
1674C4—1061no—
1675C4—1061no—
1676C4—1061no—
1677C4—1061no—
1678C4—2121no—
1679C4—2121no—
1680C4—2121no—
1681C4—2121no—
1682C4—2121no—
1683C4—2121no—
1684C4—2121no—
1685C4C2×#41×D5311yescharacteristic
1686C4#1681145811yescharacteristic
1687C2—41no—
1688C2—41no—
1689C2—42no—
1690C2—81no—
1691C2—81no—
1692C2—2121no—
1693C2—2122no—
1694C2#2028819911yescharacteristic
1695C2#2028948311yescharacteristic
1696C2#2028948411yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3297C2
socleC22×C53C23×D4
hypercenter#3297D53
hypocenterC53#61501
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #20288778C2semidirect
2. #20288768C2semidirect
3. #20287793C2semidirect
4. #20287672C2semidirect
5. #20287362C2semidirect
6. #20287361C2semidirect
7. #20287290C2semidirect
8. #20287264C2semidirect
9. #20287254C2semidirect
10. #20286633C2semidirect
11. #20286628C2semidirect
12. #20286560C2semidirect
13. #20286546C2semidirect
14. #20286545C2semidirect
15. #20286326C2semidirect
16. #20286236C2semidirect
17. #20286233C2semidirect
18. #20285382C2semidirect
19. #20285378C2semidirect
20. #20285280C2semidirect
21. #20284934C2semidirect
22. #20284924C2semidirect
23. #20284896C2semidirect
24. #20284892C2semidirect
25. #20284819C2semidirect
26. #20284817C2semidirect
27. #20283683C2semidirect
28. #20283541C2semidirect
29. #20283540C2semidirect
30. #20283483C2semidirect
31. C53×#3297C2semidirect
35. #16811343C22semidirect
36. #16811343C22semidirect
37. #16811342C22semidirect
38. #16811341C22semidirect
39. #16811330C22semidirect
40. #16811329C22semidirect
55. #16811270C22semidirect
59. #16811236C22semidirect
60. #16811233C22semidirect
66. #16811154C22semidirect
67. #16811154C22semidirect
74. #16811098C22semidirect
75. #16811095C22semidirect
76. #41×Dic53C22semidirect
77. #16811091C22semidirect
78. #16811033C22semidirect
79. #16811030C22semidirect
80. #16811024C22semidirect
81. #16811018C22semidirect
82. #16811014C22semidirect
84. #16810976C22semidirect
85. #16810976C22semidirect
86. #16810976C22semidirect
87. #16810974C22semidirect
88. #16810972C22semidirect
89. #16810965C22semidirect
90. #16810965C22semidirect
91. #16810964C22semidirect
92. #16810963C22semidirect
93. #16810960C22semidirect
94. #16810955C22semidirect
95. #16810953C22semidirect
98. #16810944C22semidirect
99. #16810929C22semidirect
100. #16810929C22semidirect
101. #16810928C22semidirect
102. #16810927C22semidirect
103. #16810926C22semidirect
104. #16810922C22semidirect
105. #16810921C22semidirect
106. #16810913C22semidirect
107. #16810911C22semidirect
108. #16810904C22semidirect
109. #16810901C22semidirect
110. #16810880C22semidirect
111. #16810879C22semidirect
114. #16810864C22semidirect
115. #16810864C22semidirect
116. #16810863C22semidirect
118. #16810850C22semidirect
119. #16810850C22semidirect
120. #16810844C22semidirect
121. #16810843C22semidirect
127. #16810834C22semidirect
128. #16810832C22semidirect
129. #16810828C22semidirect
130. #16810827C22semidirect
132. #16810787C22semidirect
135. #16810785C22semidirect
137. #16810774C22semidirect
138. #16810772C22semidirect
141. #16810752C22semidirect
142. C8×Dic106C22semidirect
147. #16810729C22semidirect
148. #16810727C22semidirect
149. #16810724C22semidirect
150. #16810723C22semidirect
151. #16810722C22semidirect
152. #16810720C22semidirect
153. #16810720C22semidirect
154. #16810720C22semidirect
155. #16810717C22semidirect
156. #16810715C22semidirect
157. #16810715C22semidirect
158. #16810714C22semidirect
159. #16810714C22semidirect
160. #16810714C22semidirect
161. #16810714C22semidirect
162. #16810714C22semidirect
163. C4×#11719913C22semidirect
164. #16810708C22semidirect
165. #16810708C22semidirect
171. #16810695C22semidirect
172. #16810691C22semidirect
174. C8×C22⋊D53C22semidirect
175. #16810683C22semidirect
176. #16810681C22semidirect
177. #16810677C22semidirect
178. #16810664C22semidirect
179. #16810663C22semidirect
180. #16810659C22semidirect
182. #16810620C22semidirect
184. #102×D53C22semidirect
185. #16810578C22semidirect
186. #16810577C22semidirect
187. C2×C8×Dic53C22semidirect
189. C53×#546C22semidirect
190. C53×#488C22semidirect
191. C53×#484C22semidirect
192. C53×#482C22semidirect
193. C53×#478C22semidirect
200. C8×D4×C53C22semidirect
201. C53×#416C22semidirect
202. C2×#102×C53C22semidirect
851. #3297D53semidirect
906. #546C2×D53semidirect
937. #488C2×D53semidirect
945. #484C2×D53semidirect
951. #482C2×D53semidirect
959. #478C2×D53semidirect
1035. C8×D4C2×D53semidirect
1045. #416C2×D53semidirect
1047. C2×#102C2×D53semidirect
1051. C53#61501semidirect

Maximal subgroups

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

subgroupindex
#202887782
#202887682
#202877932
#202876722
#202873622
#202873612
#202872902
#202872642
#202872542
#202866332
#202866282
#202865602
#202865462
#202865452
#202863262
#202862362
#202862332
#202853822
#202853782
#202852802
#202849342
#202849242
#202848962
#202848922
#202848192
#202848172
#202836832
#202835412
#202835402
#202834832
C53×#32972
#6150153