Finite Group Databasebeta

← #29483859

Subgroups — #29483859

Order 15104.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438168C211yesmaximal, characteristic, complemented
2#21437171C211yesmaximal, characteristic, complemented
3#21437123C211yesmaximal, characteristic, complemented
4#21436917C211yesmaximal, characteristic, complemented
5#21436873C211yesmaximal, characteristic, complemented
6#21436379C211yesmaximal, characteristic, complemented
7#21436349C211yesmaximal, characteristic, complemented
8#21436267C211yesmaximal, characteristic, complemented
9#21436192C211yesmaximal, characteristic, complemented
10#21436162C211yesmaximal, characteristic, complemented
11#21436147C211yesmaximal, characteristic, complemented
12#21435742C211yesmaximal, characteristic, complemented
13#21435728C211yesmaximal, characteristic, complemented
14#21435652C211yesmaximal, characteristic, complemented
15#21435622C211yesmaximal, characteristic, complemented
16#21435607C211yesmaximal, characteristic, complemented
17#21435607C211yesmaximal, characteristic, complemented
18#21435546C211yesmaximal, characteristic, complemented
19#21435516C211yesmaximal, characteristic, complemented
20#21435492C211yesmaximal, characteristic, complemented
21#21435205C211yesmaximal, characteristic, complemented
22#21435179C211yesmaximal, characteristic, complemented
23#21435123C211yesmaximal, characteristic, complemented
24#21434343C211yesmaximal, characteristic, complemented
25#21434304C211yesmaximal, characteristic, complemented
26#21434199C211yesmaximal, characteristic, complemented
27#21433642C211yesmaximal, characteristic, complemented
28#21433604C211yesmaximal, characteristic, complemented
29#21433579C211yesmaximal, characteristic, complemented
30#21433266C211yesmaximal, characteristic, complemented
31C59×#3552C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic
33C2×#14273758C2211yescharacteristic
34C2×#14273758C2211yescharacteristic
35C2×#14273752C2211yescharacteristic
36C2×#14273747C2211yescharacteristic
37C22×#11745671C2211yescharacteristic
38#16838125C2211yescharacteristic
39#16838122C2211yescharacteristic
40#16838112C2211yescharacteristic
41#16838098C2211yescharacteristic
42#16838097—21no—
43#16838092C2211yescharacteristic
44#16838084—21no—
45#16838082—21no—
46#16838080—21no—
47#16838057C2211yescharacteristic
48#16838048C2211yescharacteristic
49#16838048C2211yescharacteristic
50#16838023C2211yescharacteristic
51#16838014C2211yescharacteristic
52#16837998—21no—
53#16837984—21no—
54#16837936C2211yescharacteristic
55#16837935—21no—
56#126×D59—21no—
57#16837882C2211yescharacteristic
58#16837876C2211yescharacteristic
59C4×#11745685C2211yescharacteristic
60#16837797C2211yescharacteristic, complemented
61#16837794C2211yescharacteristic
62#16837794C2211yescharacteristic
63#16837794C2211yescharacteristic
64#16837784C2211yescharacteristic
65#16837781C2211yescharacteristic, complemented
66#16837770C2211yescharacteristic, complemented
67#16837770C2211yescharacteristic, complemented
68#16837770C2211yescharacteristic, complemented
69#16837761C2211yescharacteristic, complemented
70#16837756C2211yescharacteristic, complemented
71#16837752C2211yescharacteristic, complemented
72#16837740C2211yescharacteristic
73#16837740C2211yescharacteristic
74#16837740C2211yescharacteristic, complemented
75#16837735C2211yescharacteristic, complemented
76#16837730C2211yescharacteristic, complemented
77#16837723C2211yescharacteristic, complemented
78#16837709C2211yescharacteristic, complemented
79#16837709C2211yescharacteristic, complemented
80#16837709C2211yescharacteristic, complemented
81#16837706C2211yescharacteristic, complemented
82#16837706C2211yescharacteristic, complemented
83#16837702C2211yescharacteristic, complemented
84#16837699C2211yescharacteristic
85#16837699C2211yescharacteristic
86#16837697C2211yescharacteristic, complemented
87#16837687C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic
89#16837658C2211yescharacteristic
90#16837658C2211yescharacteristic, complemented
91#16837658C2211yescharacteristic, complemented
92#16837653C2211yescharacteristic
93#16837650C2211yescharacteristic
94#16837650C2211yescharacteristic
95#16837646C2211yescharacteristic, complemented
96#16837641C2211yescharacteristic
97#16837641C2211yescharacteristic
98#16837641C2211yescharacteristic, complemented
99#16837633C2211yescharacteristic
100#16837624C2211yescharacteristic
101#16837624C2211yescharacteristic
102#16837624C2211yescharacteristic
103#16837621C2211yescharacteristic, complemented
104#16837621C2211yescharacteristic, complemented
105#16837621C2211yescharacteristic, complemented
106#16837617C2211yescharacteristic
107#16837614C2211yescharacteristic
108#16837614C2211yescharacteristic
109#16837614C2211yescharacteristic
110#16837614C2211yescharacteristic
111#16837614C2211yescharacteristic
112#16837612C2211yescharacteristic, complemented
113#16837612C2211yescharacteristic, complemented
114#16837609C2211yescharacteristic, complemented
115#16837609C2211yescharacteristic, complemented
116#16837609C2211yescharacteristic, complemented
117#16837609C2211yescharacteristic, complemented
118#16837609C2211yescharacteristic, complemented
119#16837609C2211yescharacteristic, complemented
120#16837609C2211yescharacteristic, complemented
121#16837604C2211yescharacteristic
122#16837604C2211yescharacteristic
123#16837604C2211yescharacteristic
124#16837604C2211yescharacteristic
125#16837604C2211yescharacteristic
126#16837604C2211yescharacteristic
127#16837604C2211yescharacteristic
128#16837604C2211yescharacteristic
129#16837604C2211yescharacteristic
130#16837564C2211yescharacteristic
131#16837564C2211yescharacteristic
132#16837564C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic
134#16837562C2211yescharacteristic
135#16837562C2211yescharacteristic
136#16837558C2211yescharacteristic
137#16837558C2211yescharacteristic
138#16837558C2211yescharacteristic, complemented
139#16837558C2211yescharacteristic, complemented
140#16837558C2211yescharacteristic, complemented
141#16837552C2211yescharacteristic
142#16837552C2211yescharacteristic
143#16837547C2211yescharacteristic
144#16837545C2211yescharacteristic
145#16837541C2211yescharacteristic
146#16837541C2211yescharacteristic
147#16837541C2211yescharacteristic
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic
151#16837507C2211yescharacteristic, complemented
152#16837507C2211yescharacteristic, complemented
153#16837502C2211yescharacteristic, complemented
154#16837500C2211yescharacteristic
155#16837500C2211yescharacteristic
156#16837500C2211yescharacteristic
157#16837500C2211yescharacteristic
158C4×#11745672C2211yescharacteristic, complemented
159C4×#11745671C2211yescharacteristic
160C4×#11745671C2211yescharacteristic
161C4×#11745671C2211yescharacteristic
162#16837480C2211yescharacteristic
163#16837480C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic
165#16837474C2211yescharacteristic
166#16837474C2211yescharacteristic
167#16837474C2211yescharacteristic, complemented
168#16837463C2211yescharacteristic
169#16837463C2211yescharacteristic, complemented
170#16837459C2211yescharacteristic, complemented
171#16837429C2211yescharacteristic
172#16837429C2211yescharacteristic, complemented
173#16837426C2211yescharacteristic, complemented
174#16837411C2211yescharacteristic
175#16837411C2211yescharacteristic, complemented
176#16837411C2211yescharacteristic, complemented
177#16837403C2211yescharacteristic, complemented
178#16837398C2211yescharacteristic
179C2×#14273651C2211yescharacteristic, complemented
180C59×#563—21no—
181C59×#563—21no—
182C59×#557C2211yescharacteristic, complemented
183C59×#556C2211yescharacteristic, complemented
184C59×#554—21no—
185C59×#553—21no—
186D4×Q8×C59C2211yescharacteristic
187D4×Q8×C59C2211yescharacteristic
188D4×Q8×C59C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic
190C59×#548C2211yescharacteristic, complemented
191C59×#547C2211yescharacteristic
192C59×#544—21no—
193C59×#542—21no—
194C59×#541C2211yescharacteristic
195C59×#541C2211yescharacteristic, complemented
196C59×#539—21no—
197C59×#539—21no—
198C59×#536C2211yescharacteristic
199C59×#536C2211yescharacteristic, complemented
200C2×C4⋊Q8×C59C2211yescharacteristic, complemented
201C59×#529C2211yescharacteristic
202C59×#529C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C22×D236C2311yescharacteristic
206#14273758—42no—
207#14273758—42no—
208#14273758—42no—
209#14273752—42no—
210#14273747—42no—
211C2×#11745672C2311yescharacteristic
212C2×#11745672C2311yescharacteristic
213C2×#11745672C2311yescharacteristic
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745671—42no—
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745664C2311yescharacteristic
237C2×#11745664C2311yescharacteristic
238C2×#11745664C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C22×C59⋊C8C2311yescharacteristic
241C22×C59⋊C8C2311yescharacteristic
242#14273727C2311yescharacteristic
243#14273727C2311yescharacteristic
244#14273722—21no—
245#14273722—21no—
246#14273722—21no—
247#14273722—21no—
248#14273721—21no—
249#14273720—21no—
250#14273720—21no—
251#14273720—21no—
252#14273720—21no—
253#14273720—21no—
254#14273719C2311yescharacteristic
255#14273719C2311yescharacteristic
256#14273717—21no—
257#14273717—21no—
258#14273717—21no—
259#14273715C2311yescharacteristic
260#14273715C2311yescharacteristic
261#14273714—21no—
262#14273713—21no—
263#14273712—21no—
264#14273712—21no—
265#14273710—21no—
266#14273709—21no—
267#14273709—21no—
268#14273709—21no—
269#14273709—21no—
270#14273708—21no—
271#14273706C2311yescharacteristic
272#14273706C2311yescharacteristic
273#14273706C2311yescharacteristic
274#14273706C2311yescharacteristic
275#14273705—21no—
276#14273705—21no—
277#14273705—21no—
278#14273703—21no—
279#14273703—21no—
280#14273701C2311yescharacteristic
281#14273701C2311yescharacteristic
282#14273700—21no—
283#14273700—21no—
284#14273699—21no—
285#14273698—21no—
286#14273695—21no—
287#14273695—21no—
288C4×Dic118C2311yescharacteristic
289C4×Dic118C2311yescharacteristic
290C4×Dic118C2311yescharacteristic
291C4×Dic118C2311yescharacteristic
292#14273692—21no—
293C4×D236C2311yescharacteristic
294C4×D236C2311yescharacteristic
295C4×D236C2311yescharacteristic
296C4×D236C2311yescharacteristic
297C4×D236C2311yescharacteristic
298C4×D236C2311yescharacteristic
299#14273689—21no—
300#14273689—21no—
301C4×C22⋊D59—21no—
302C4×C22⋊D59—21no—
303C4×C22⋊D59—21no—
304(C22⋊D59)⋊C4—21no—
305(C22⋊D59)⋊C4—21no—
306(C22⋊D59)⋊C4—21no—
307#14273686C2311yescharacteristic
308#14273686C2311yescharacteristic
309#14273685—21no—
310#14273685—21no—
311#14273684—21no—
312#14273684—21no—
313#14273683—21no—
314C2×C4⋊Dic59C2311yescharacteristic
315C4⋊C4×D59—21no—
316C4⋊C4×D59—21no—
317C4⋊C4×D59—21no—
318C22⋊C4×D59—21no—
319C22⋊C4×D59—21no—
320C22⋊C4×D59—21no—
321C22⋊C4×D59—21no—
322C42×D59—21no—
323#14273660C2311yescharacteristic
324#14273660C2311yescharacteristic
325#14273660C2311yescharacteristic
326#14273660C2311yescharacteristic
327#14273658C2311yescharacteristic
328#14273658C2311yescharacteristic
329#14273658C2311yescharacteristic
330#14273658C2311yescharacteristic
331C4⋊(C59⋊C8)C2311yescharacteristic
332C4⋊(C59⋊C8)C2311yescharacteristic
333C4⋊(C59⋊C8)C2311yescharacteristic
334C4⋊(C59⋊C8)C2311yescharacteristic
335C4⋊(C59⋊C8)C2311yescharacteristic
336C4⋊(C59⋊C8)C2311yescharacteristic
337C4⋊(C59⋊C8)C2311yescharacteristic
338C4⋊(C59⋊C8)C2311yescharacteristic
339C4⋊(C59⋊C8)C2311yescharacteristic
340C4⋊(C59⋊C8)C2311yescharacteristic
341#14273651C2311yescharacteristic
342#14273651C2311yescharacteristic
343#14273651C2311yescharacteristic
344#14273651C2311yescharacteristic
345#14273651C2311yescharacteristic
346#14273651C2311yescharacteristic
347#14273651C2311yescharacteristic
348#14273651C2311yescharacteristic
349#14273651C2311yescharacteristic
350#14273651C2311yescharacteristic
351#14273651C2311yescharacteristic
352#14273651C2311yescharacteristic
353#14273651C2311yescharacteristic
354#14273651C2311yescharacteristic
355#14273651C2311yescharacteristic
356#14273651C2311yescharacteristic
357#14273651C2311yescharacteristic
358#14273651C2311yescharacteristic
359#14273651C2311yescharacteristic
360#14273651C2311yescharacteristic
361#14273650C2311yescharacteristic
362#14273650C2311yescharacteristic
363#14273650C2311yescharacteristic
364#14273650C2311yescharacteristic
365#14273648C2311yescharacteristic
366#14273648C2311yescharacteristic
367#14273648C2311yescharacteristic
368#14273648C2311yescharacteristic
369#14273647C2311yescharacteristic
370#14273647C2311yescharacteristic
371#14273647C2311yescharacteristic
372#14273647C2311yescharacteristic
373C22⋊(C59⋊C8)C2311yescharacteristic
374C22⋊(C59⋊C8)C2311yescharacteristic
375C22⋊(C59⋊C8)C2311yescharacteristic
376C22⋊(C59⋊C8)C2311yescharacteristic
377C22⋊(C59⋊C8)C2311yescharacteristic
378C22⋊(C59⋊C8)C2311yescharacteristic
379#14273638C2311yescharacteristic
380#14273638C2311yescharacteristic
381#14273638C2311yescharacteristic
382#14273638C2311yescharacteristic
383C4×C59⋊C8C2311yescharacteristic
384C4×C59⋊C8C2311yescharacteristic
385C2×#41×C59C2311yescharacteristic
386C2×#41×C59C2311yescharacteristic
387C22×Q8×C59C2311yescharacteristic
388C22×Q8×C59C2311yescharacteristic
389C22×Q8×C59C2311yescharacteristic
390C22×Q8×C59C2311yescharacteristic
391C4⋊Q8×C59—21no—
392C4⋊Q8×C59—21no—
393C4⋊Q8×C59—21no—
394C4⋊Q8×C59—21no—
395C4⋊Q8×C59—21no—
396C4⋊Q8×C59C2311yescharacteristic
397C4⋊Q8×C59C2311yescharacteristic
398C4⋊Q8×C59C2311yescharacteristic
399C4⋊Q8×C59C2311yescharacteristic
400C4⋊Q8×C59C2311yescharacteristic
401C4⋊Q8×C59C2311yescharacteristic
402#126×C59—21no—
403#126×C59—21no—
404#126×C59—21no—
405#126×C59—21no—
406#126×C59—21no—
407#126×C59—21no—
408#126×C59—21no—
409#126×C59D411yescharacteristic
410#126×C59D411yescharacteristic
411#125×C59—21no—
412#125×C59—21no—
413#125×C59—21no—
414#125×C59—21no—
415#125×C59—21no—
416#125×C59—21no—
417#125×C59—21no—
418#125×C59D411yescharacteristic
419#125×C59C2311yescharacteristic
420#124×C59—21no—
421#124×C59—21no—
422#124×C59D411yescharacteristic
423#124×C59C2311yescharacteristic
424#124×C59C2311yescharacteristic
425#124×C59C2311yescharacteristic
426#123×C59—21no—
427#123×C59—21no—
428#123×C59—21no—
429#123×C59—21no—
430#123×C59—21no—
431#123×C59—21no—
432#123×C59—21no—
433#123×C59D411yescharacteristic
434#123×C59D411yescharacteristic
435C22⋊Q8×C59—21no—
436C22⋊Q8×C59—21no—
437C22⋊Q8×C59—21no—
438C22⋊Q8×C59—21no—
439C22⋊Q8×C59—21no—
440C22⋊Q8×C59—21no—
441C22⋊Q8×C59—21no—
442C22⋊Q8×C59—21no—
443C22⋊Q8×C59—21no—
444C22⋊Q8×C59—21no—
445C22⋊Q8×C59—21no—
446C22⋊Q8×C59—21no—
447C22⋊Q8×C59—21no—
448C22⋊Q8×C59D411yescharacteristic
449C22⋊Q8×C59C2311yescharacteristic
450C22⋊Q8×C59C2311yescharacteristic
451C22⋊Q8×C59C2311yescharacteristic
452C22⋊Q8×C59C2311yescharacteristic
453C22⋊Q8×C59C2311yescharacteristic
454#121×C59—21no—
455#121×C59—21no—
456#121×C59—21no—
457#121×C59D411yescharacteristic
458#121×C59C2311yescharacteristic
459C4×Q8×C59—21no—
460C4×Q8×C59C2311yescharacteristic
461C4×Q8×C59C2311yescharacteristic
462C4×Q8×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×Q8×C59C2311yescharacteristic
466C4×D4×C59—21no—
467C4×D4×C59—21no—
468C4×D4×C59—21no—
469C4×D4×C59—21no—
470C4×D4×C59—21no—
471C4×D4×C59—21no—
472C4×D4×C59C2311yescharacteristic
473C4×D4×C59C2311yescharacteristic
474C4×D4×C59C2311yescharacteristic
475C4×D4×C59C2311yescharacteristic
476#117×C59—21no—
477#117×C59—21no—
478#117×C59C2311yescharacteristic
479#117×C59C2311yescharacteristic
480C2×C4⋊C4×C59—21no—
481C2×C4⋊C4×C59—21no—
482C2×C4⋊C4×C59—21no—
483C2×C42×C59C2311yescharacteristic
484C23×D59—21no—
485#41×C59—41no—
486#41×C59—41no—
487#41×C59—41no—
488#41×C59—41no—
489C2×Q8×C59—21no—
490C2×Q8×C59—21no—
491C2×Q8×C59—21no—
492C2×Q8×C59—21no—
493C2×Q8×C59—41no—
494C2×Q8×C59—41no—
495C2×Q8×C59—41no—
496C2×Q8×C59—41no—
497C2×Q8×C59—41no—
498C2×Q8×C59—41no—
499C2×Q8×C59—41no—
500C2×Q8×C59—41no—
501C2×Q8×C59C2×D411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×Q8×C59C2411yescharacteristic
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2×D411yescharacteristic
512C2×D4×C59C2×D411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59—21no—
521C22×C4×C59C2×D411yescharacteristic
522C22×C4×C59C2×D411yescharacteristic
523C22×C4×C59C2411yescharacteristic
524C22×C4×C59C2411yescharacteristic
525C22×C4×C59C2411yescharacteristic
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C22×Dic59—21no—
531#11745685—22no—
532#11745685—22no—
533#11745685—41no—
534#11745685—41no—
535C2×D236—22no—
536C2×D236—21no—
537C2×D236—41no—
538C2×D236C2411yescharacteristic
539C2×D236C2411yescharacteristic
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×Dic118—21no—
549C2×Dic118C2411yescharacteristic
550C2×Dic118C2411yescharacteristic
551C4⋊C4×C59—21no—
552C4⋊C4×C59—21no—
553C4⋊C4×C59—21no—
554C4⋊C4×C59—21no—
555C4⋊C4×C59—21no—
556C4⋊C4×C59—21no—
557C4⋊C4×C59—21no—
558C4⋊C4×C59—21no—
559C4⋊C4×C59—21no—
560C4⋊C4×C59—21no—
561C4⋊C4×C59—21no—
562C4⋊C4×C59—21no—
563C4⋊C4×C59—21no—
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59C2×D411yescharacteristic
576C4⋊C4×C59C2×D411yescharacteristic
577C4⋊C4×C59C2×D411yescharacteristic
578C4⋊C4×C59C2×D411yescharacteristic
579C4⋊C4×C59C2×D411yescharacteristic
580C4⋊C4×C59C2×D411yescharacteristic
581C4⋊C4×C59C2×D411yescharacteristic
582C4⋊C4×C59C2×D411yescharacteristic
583C4⋊C4×C59C2×D411yescharacteristic
584C4⋊C4×C59C2×D411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59C2×D411yescharacteristic
601C22⋊C4×C59C2×D411yescharacteristic
602C22⋊C4×C59C2×D411yescharacteristic
603C22⋊C4×C59C2×D411yescharacteristic
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C22⋊C4×C59C2×D411yescharacteristic
607C22⋊C4×C59C2×D411yescharacteristic
608C22⋊C4×C59C2×D411yescharacteristic
609C22⋊C4×C59C2×D411yescharacteristic
610C42×C59—21no—
611C42×C59—21no—
612C42×C59—21no—
613C42×C59—21no—
614C42×C59—21no—
615C42×C59C2×D411yescharacteristic
616C42×C59C2×D411yescharacteristic
617C42×C59C2411yescharacteristic
618C42×C59C2411yescharacteristic
619C42×C59C2411yescharacteristic
620C42×C59C2411yescharacteristic
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627#11745672—41no—
628#11745672—41no—
629#11745672—41no—
630#11745672—41no—
631#11745672—41no—
632#11745672—41no—
633#11745672—41no—
634#11745672—41no—
635#11745672—41no—
636#11745672—41no—
637#11745671—22no—
638#11745671—22no—
639#11745671—22no—
640#11745671—22no—
641#11745671—22no—
642#11745671—41no—
643#11745671—41no—
644#11745671—41no—
645#11745671—41no—
646#11745671—41no—
647#11745670—41no—
648#11745670—41no—
649#11745669—22no—
650#11745669—41no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689#11745664—41no—
690#11745664—41no—
691#11745664—41no—
692#11745664—41no—
693C2×C59⋊C8—41no—
694C2×C59⋊C8—41no—
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C23×C59—21no—
704C23×C59C22×D411yescharacteristic
705C23×C59C22×D411yescharacteristic
706C23×C59C22×D411yescharacteristic
707C22×D59—21no—
708C22×D59—21no—
709C22×D59—42no—
710C22×D59—81no—
711C22×D59—81no—
712Q8×C59—21no—
713Q8×C59—21no—
714Q8×C59—21no—
715Q8×C59—21no—
716Q8×C59—21no—
717Q8×C59—21no—
718Q8×C59—21no—
719Q8×C59—21no—
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—41no—
723Q8×C59—81no—
724Q8×C59—81no—
725Q8×C59—81no—
726Q8×C59—81no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—41no—
730D4×C59—41no—
731D4×C59—41no—
732D4×C59—42no—
733D4×C59—81no—
734D4×C59—81no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—41no—
749C2×C4×C59—41no—
750C2×C4×C59—42no—
751C2×C4×C59—81no—
752C2×C4×C59—81no—
753C2×C4×C59—81no—
754C2×C4×C59—81no—
755C2×C4×C59—81no—
756C2×C4×C59—81no—
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C2511yescharacteristic
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—81no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—42no—
784D236H(5,𝔽2)12yes—
785C4×D59—42no—
786C4×D59—42no—
787C4×D59—81no—
788C4×D59—81no—
789C4×D59—81no—
790C4×D59—81no—
791C4×D59—81no—
792C4×D59—81no—
793Dic118—21no—
794Dic118—21no—
795Dic118—21no—
796Dic118—21no—
797Dic118—81no—
798C59⋊C8—21no—
799C59⋊C8—21no—
800C59⋊C8—21no—
801C59⋊C8—21no—
802C59⋊C8—21no—
803C59⋊C8—21no—
804C59⋊C8—21no—
805C59⋊C8—21no—
806#62080—591nomaximal, Sylow
807C22×C59—21no—
808C22×C59—21no—
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—21no—
813C22×C59—21no—
814C22×C59—21no—
815C22×C59—21no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59C23×D411yescharacteristic
820C2×D59—22no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59—41no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—162no—
827C4×C59—21no—
828C4×C59—21no—
829C4×C59—21no—
830C4×C59—21no—
831C4×C59—21no—
832C4×C59—21no—
833C4×C59—21no—
834C4×C59—21no—
835C4×C59—21no—
836C4×C59—21no—
837C4×C59—21no—
838C4×C59—41no—
839C4×C59—41no—
840C4×C59—41no—
841C4×C59—41no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59C2×H(5,𝔽2)11yescharacteristic
846C4×C59#58511yescharacteristic
847Dic59—41no—
848Dic59—41no—
849Dic59—41no—
850Dic59—41no—
851Dic59—41no—
852Dic59—41no—
853#3552D5911yescharacteristic, complemented
854#3521—591no—
855#3402—591no—
856#3398—591no—
857#3376—591no—
858#3372—591no—
859#3328—591no—
860#3326—591no—
861#3320—591no—
862#3315—591no—
863#3313—591no—
864#3312—591no—
865#3276—591no—
866#3275—591no—
867#3269—591no—
868#3267—591no—
869#3266—591no—
870#3266—591no—
871#3261—591no—
872#3258—591no—
873#3256—591no—
874#3225—591no—
875#3223—591no—
876#3218—591no—
877#3123—591no—
878#3120—591no—
879#3111—591no—
880#3046—591no—
881#3042—591no—
882#3039—591no—
883#2995—591no—
884C2×C59—41no—
885C2×C59—41no—
886C2×C59—41no—
887C2×C59—81no—
888C2×C59#348811yescharacteristic
889C2×C59#358611yescharacteristic
890C2×C59#358611yescharacteristic
891D59—42no—
892D59—81no—
893C2×#137—591no—
894C2×#137—591no—
895C2×#137—591no—
896C2×AGL(1,ℤ/8)—591no—
897C2×#135—591no—
898C22×SD16—591no—
899#563—21no—
900#563—21no—
901#557C2×D5911yescharacteristic, complemented
902#556—591no—
903#556—591no—
904#556C2×D5911yescharacteristic, complemented
905#554—21no—
906#554—591no—
907#553—21no—
908#553—591no—
909#553—1181no—
910#552—591no—
911#552—1181no—
912#551—1181no—
913#551—1181no—
914D4×Q8C2×D5911yescharacteristic
915D4×Q8C2×D5911yescharacteristic
916D4×Q8C2×D5911yescharacteristic, complemented
917#548C2×D5911yescharacteristic
918#548C2×D5911yescharacteristic, complemented
919#547—591no—
920#547C2×D5911yescharacteristic
921#546—591no—
922#546—591no—
923#544—21no—
924#542—21no—
925#542—591no—
926#541—591no—
927#541C2×D5911yescharacteristic
928#541C2×D5911yescharacteristic, complemented
929#539—21no—
930#539—21no—
931#539—1181no—
932#538—1181no—
933#536C2×D5911yescharacteristic
934#536C2×D5911yescharacteristic, complemented
935C2×C4⋊Q8C2×D5911yescharacteristic, complemented
936#529—591no—
937#529—1181no—
938#529C2×D5911yescharacteristic
939#529C2×D5911yescharacteristic, complemented
940C2×#126—1181no—
941#520—591no—
942#518—591no—
943C4×#41—591no—
944#497—591no—
945#497—591no—
946#497—591no—
947#497—591no—
948#495—591no—
949#494—591no—
950#491—591no—
951#491—591no—
952#491—591no—
953#489—591no—
954#488—591no—
955#487—591no—
956#485—591no—
957#485—591no—
958#485—591no—
959#484—591no—
960#483—591no—
961#482—591no—
962#479—591no—
963#479—591no—
964#479—591no—
965#479—591no—
966#479—591no—
967#478—591no—
968#478—591no—
969#478—591no—
970#477—591no—
971#475—591no—
972#470—591no—
973#470—591no—
974#470—591no—
975#470—591no—
976#469—591no—
977#468—591no—
978#468—591no—
979#468—591no—
980#467—591no—
981#467—591no—
982#467—591no—
983#465—591no—
984#464—591no—
985#464—591no—
986#464—591no—
987#464—591no—
988#464—591no—
989#464—591no—
990#463—591no—
991#463—591no—
992#463—591no—
993#463—591no—
994#463—591no—
995#463—591no—
996#462—591no—
997#462—591no—
998#462—591no—
999#462—591no—
1000#462—591no—
1001#462—591no—
1002#462—591no—
1003#462—591no—
1004#462—591no—
1005#461—591no—
1006#461—591no—
1007#461—591no—
1008#461—591no—
1009#461—591no—
1010#461—591no—
1011#461—591no—
1012#461—591no—
1013#461—591no—
1014#452—591no—
1015#452—591no—
1016#452—591no—
1017#452—591no—
1018#452—591no—
1019#452—591no—
1020#451—591no—
1021#451—591no—
1022#451—591no—
1023#451—591no—
1024#451—591no—
1025#450—591no—
1026#450—591no—
1027#449—591no—
1028#449—591no—
1029#448—591no—
1030#448—591no—
1031#448—591no—
1032#446—591no—
1033#446—591no—
1034#442—591no—
1035#441—591no—
1036#441—591no—
1037#440—591no—
1038#440—591no—
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042C4×Q16—591no—
1043C4×SD16—591no—
1044C4×SD16—591no—
1045C4×SD16—591no—
1046#436—591no—
1047#436—591no—
1048#435—591no—
1049#435—591no—
1050#435—591no—
1051#435—591no—
1052#433—591no—
1053#433—591no—
1054#432—591no—
1055#424—591no—
1056#424—591no—
1057#423—591no—
1058#419—591no—
1059#419—591no—
1060#419—591no—
1061#417—591no—
1062#416—591no—
1063C2×#103—591no—
1064C59#6208011yescharacteristic, complemented, Sylow
1065C2×#41—591no—
1066C2×#41—591no—
1067C2×#41C22×D5911yescharacteristic
1068C2×#41C22×D5911yescharacteristic
1069C22×Q8C22×D5911yescharacteristic
1070C22×Q8C22×D5911yescharacteristic
1071C22×Q8C22×D5911yescharacteristic
1072C22×Q8C22×D5911yescharacteristic
1073C22×D4—591no—
1074#137—2362no—
1075#137—2362no—
1076#137—2362no—
1077AGL(1,ℤ/8)—2362no—
1078#135—2362no—
1079C2×Q16—591no—
1080C2×Q16—591no—
1081C2×Q16—591no—
1082C2×Q16—591no—
1083C2×Q16—591no—
1084C2×Q16—591no—
1085C2×Q16—591no—
1086C2×Q16—591no—
1087C2×Q16—591no—
1088C2×Q16—591no—
1089C2×SD16—591no—
1090C2×SD16—591no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16—591no—
1098C2×SD16—591no—
1099C2×SD16—591no—
1100C2×SD16—591no—
1101C2×SD16—2362no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×M16—591no—
1105C2×M16—591no—
1106C2×M16—591no—
1107C2×M16—591no—
1108C22×C8—591no—
1109C22×C8—591no—
1110C4⋊Q8—21no—
1111C4⋊Q8—21no—
1112C4⋊Q8—21no—
1113C4⋊Q8—21no—
1114C4⋊Q8—21no—
1115C4⋊Q8—591no—
1116C4⋊Q8—591no—
1117C4⋊Q8C22×D5911yescharacteristic
1118C4⋊Q8C22×D5911yescharacteristic
1119C4⋊Q8C22×D5911yescharacteristic
1120C4⋊Q8C22×D5911yescharacteristic
1121C4⋊Q8C22×D5911yescharacteristic
1122C4⋊Q8C22×D5911yescharacteristic
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#126—21no—
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—1181no—
1131#126—1181no—
1132#126—1181no—
1133#126—1181no—
1134#126—1181no—
1135#126—1181no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#126—1181no—
1140#126C22⋊D5911yescharacteristic
1141#126C22⋊D5911yescharacteristic
1142#125—21no—
1143#125—21no—
1144#125—21no—
1145#125—21no—
1146#125—21no—
1147#125—21no—
1148#125—21no—
1149#125—591no—
1150#125—591no—
1151#125—1181no—
1152#125—1181no—
1153#125—1181no—
1154#125C22⋊D5911yescharacteristic
1155#125C22×D5911yescharacteristic
1156#124—21no—
1157#124—21no—
1158#124—591no—
1159#124—591no—
1160#124—1181no—
1161#124—1181no—
1162#124C22⋊D5911yescharacteristic
1163#124C22×D5911yescharacteristic
1164#124C22×D5911yescharacteristic
1165#124C22×D5911yescharacteristic
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123—21no—
1172#123—21no—
1173#123—1181no—
1174#123—1181no—
1175#123—1181no—
1176#123—1181no—
1177#123—1181no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123C22⋊D5911yescharacteristic
1182#123C22⋊D5911yescharacteristic
1183C22⋊Q8—21no—
1184C22⋊Q8—21no—
1185C22⋊Q8—21no—
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—591no—
1197C22⋊Q8—591no—
1198C22⋊Q8—591no—
1199C22⋊Q8—591no—
1200C22⋊Q8—1181no—
1201C22⋊Q8—1181no—
1202C22⋊Q8—1181no—
1203C22⋊Q8—1181no—
1204C22⋊Q8—1181no—
1205C22⋊Q8C22⋊D5911yescharacteristic
1206C22⋊Q8C22×D5911yescharacteristic
1207C22⋊Q8C22×D5911yescharacteristic
1208C22⋊Q8C22×D5911yescharacteristic
1209C22⋊Q8C22×D5911yescharacteristic
1210C22⋊Q8C22×D5911yescharacteristic
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—591no—
1215#121—591no—
1216#121—1181no—
1217#121—1181no—
1218#121—1181no—
1219#121—1181no—
1220#121C22⋊D5911yescharacteristic
1221#121C22×D5911yescharacteristic
1222#120—1181no—
1223#120—1181no—
1224C4×Q8—21no—
1225C4×Q8—591no—
1226C4×Q8—591no—
1227C4×Q8—591no—
1228C4×Q8—591no—
1229C4×Q8—1181no—
1230C4×Q8C22×D5911yescharacteristic
1231C4×Q8C22×D5911yescharacteristic
1232C4×Q8C22×D5911yescharacteristic
1233C4×Q8C22×D5911yescharacteristic
1234C4×Q8C22×D5911yescharacteristic
1235C4×Q8C22×D5911yescharacteristic
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4—591no—
1243C4×D4—591no—
1244C4×D4—591no—
1245C4×D4—591no—
1246C4×D4—591no—
1247C4×D4—591no—
1248C4×D4—1181no—
1249C4×D4—1181no—
1250C4×D4—1181no—
1251C4×D4—1181no—
1252C4×D4—1181no—
1253C4×D4—1181no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4C22×D5911yescharacteristic
1257C4×D4C22×D5911yescharacteristic
1258C4×D4C22×D5911yescharacteristic
1259C4×D4C22×D5911yescharacteristic
1260#117—21no—
1261#117—21no—
1262#117—591no—
1263#117—591no—
1264#117—1181no—
1265#117—1181no—
1266#117—1181no—
1267#117—1181no—
1268#117—1181no—
1269#117C22×D5911yescharacteristic
1270#117C22×D5911yescharacteristic
1271C2×C4⋊C4—21no—
1272C2×C4⋊C4—21no—
1273C2×C4⋊C4—21no—
1274C2×C4⋊C4—591no—
1275C2×C4⋊C4—1181no—
1276C2×C4⋊C4—1181no—
1277C2×C4⋊C4—1181no—
1278C2×C22⋊C4—1181no—
1279C2×C22⋊C4—1181no—
1280C2×C22⋊C4—1181no—
1281C2×C22⋊C4—1181no—
1282C2×C42—1181no—
1283C2×C42C22×D5911yescharacteristic
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#106—591no—
1289#106—591no—
1290#106—591no—
1291#106—591no—
1292C4⋊C8—591no—
1293C4⋊C8—591no—
1294C4⋊C8—591no—
1295C4⋊C8—591no—
1296C4⋊C8—591no—
1297C4⋊C8—591no—
1298C4⋊C8—591no—
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302#103—591no—
1303#103—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103—591no—
1314#103—591no—
1315#103—591no—
1316#103—591no—
1317#103—591no—
1318#103—591no—
1319#103—591no—
1320#103—591no—
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102—591no—
1334C22⋊C8—591no—
1335C22⋊C8—591no—
1336C22⋊C8—591no—
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340#97—591no—
1341#97—591no—
1342#97—591no—
1343#97—591no—
1344C4×C8—591no—
1345C4×C8—591no—
1346C24—1181no—
1347#41—41no—
1348#41—41no—
1349#41—41no—
1350#41—41no—
1351#41—1182no—
1352#41—1182no—
1353#41—2361no—
1354#41—2361no—
1355C2×Q8—21no—
1356C2×Q8—21no—
1357C2×Q8—21no—
1358C2×Q8—21no—
1359C2×Q8—41no—
1360C2×Q8—41no—
1361C2×Q8—41no—
1362C2×Q8—41no—
1363C2×Q8—41no—
1364C2×Q8—41no—
1365C2×Q8—41no—
1366C2×Q8—41no—
1367C2×Q8—591no—
1368C2×Q8—591no—
1369C2×Q8—1181no—
1370C2×Q8C2×C22⋊D5911yescharacteristic
1371C2×Q8C23×D5911yescharacteristic
1372C2×Q8C23×D5911yescharacteristic
1373C2×Q8C23×D5911yescharacteristic
1374C2×Q8C23×D5911yescharacteristic
1375C2×Q8C23×D5911yescharacteristic
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—591no—
1380C2×D4—591no—
1381C2×D4—1182no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4—2361no—
1388C2×D4C2×C22⋊D5911yescharacteristic
1389C2×D4C2×C22⋊D5911yescharacteristic
1390C2×D4C2×C22⋊D5911yescharacteristic
1391C2×D4C23×D5911yescharacteristic
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—1181no—
1400C22×C4—1181no—
1401C22×C4—1181no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4C2×C22⋊D5911yescharacteristic
1409C22×C4C2×C22⋊D5911yescharacteristic
1410C22×C4C23×D5911yescharacteristic
1411C22×C4C23×D5911yescharacteristic
1412C22×C4C23×D5911yescharacteristic
1413Q16—2361no—
1414Q16—2361no—
1415Q16—2361no—
1416Q16—2361no—
1417Q16—2361no—
1418Q16—2361no—
1419Q16—2361no—
1420Q16—2361no—
1421Q16—2361no—
1422Q16—2361no—
1423SD16—1182no—
1424SD16—1182no—
1425SD16—1182no—
1426SD16—1182no—
1427SD16—1182no—
1428SD16—2361no—
1429SD16—2361no—
1430SD16—2361no—
1431SD16—2361no—
1432SD16—2361no—
1433SD16—2361no—
1434SD16—2361no—
1435D8—1182no—
1436D8—2361no—
1437M16—2361no—
1438M16—2361no—
1439M16—2361no—
1440M16—2361no—
1441C2×C8—591no—
1442C2×C8—591no—
1443C2×C8—591no—
1444C2×C8—591no—
1445C2×C8—591no—
1446C2×C8—591no—
1447C2×C8—591no—
1448C2×C8—591no—
1449C2×C8—2361no—
1450C2×C8—2361no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—591no—
1476C4⋊C4—591no—
1477C4⋊C4—591no—
1478C4⋊C4—591no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4C2×C22⋊D5911yescharacteristic
1496C4⋊C4C2×C22⋊D5911yescharacteristic
1497C4⋊C4C2×C22⋊D5911yescharacteristic
1498C4⋊C4C2×C22⋊D5911yescharacteristic
1499C4⋊C4C2×C22⋊D5911yescharacteristic
1500C4⋊C4C2×C22⋊D5911yescharacteristic
1501C4⋊C4C2×C22⋊D5911yescharacteristic
1502C4⋊C4C2×C22⋊D5911yescharacteristic
1503C4⋊C4C2×C22⋊D5911yescharacteristic
1504C4⋊C4C2×C22⋊D5911yescharacteristic
1505C4⋊C4C23×D5911yescharacteristic
1506C4⋊C4C23×D5911yescharacteristic
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4C2×C22⋊D5911yescharacteristic
1539C22⋊C4C2×C22⋊D5911yescharacteristic
1540C22⋊C4C2×C22⋊D5911yescharacteristic
1541C22⋊C4C2×C22⋊D5911yescharacteristic
1542C22⋊C4C2×C22⋊D5911yescharacteristic
1543C22⋊C4C2×C22⋊D5911yescharacteristic
1544C22⋊C4C2×C22⋊D5911yescharacteristic
1545C22⋊C4C2×C22⋊D5911yescharacteristic
1546C22⋊C4C2×C22⋊D5911yescharacteristic
1547C22⋊C4C2×C22⋊D5911yescharacteristic
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—21no—
1552C42—21no—
1553C42—1181no—
1554C42—1181no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42C2×C22⋊D5911yescharacteristic
1560C42C2×C22⋊D5911yescharacteristic
1561C42C23×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C42C23×D5911yescharacteristic
1564C42C23×D5911yescharacteristic
1565C23—21no—
1566C23—1181no—
1567C23—1181no—
1568C23—4721no—
1569C23—4721no—
1570C23—2362no—
1571C23C22×C22⋊D5911yescharacteristic
1572C23C22×C22⋊D5911yescharacteristic
1573C23C22×C22⋊D5911yescharacteristic
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—41no—
1585Q8—81no—
1586Q8—81no—
1587Q8—81no—
1588Q8—81no—
1589Q8—1181no—
1590Q8—1181no—
1591Q8—1181no—
1592Q8—1181no—
1593Q8—4721no—
1594D4—21no—
1595D4—21no—
1596D4—41no—
1597D4—41no—
1598D4—41no—
1599D4—42no—
1600D4—81no—
1601D4—81no—
1602D4—592no—
1603D4—1181no—
1604D4—1181no—
1605D4—1181no—
1606D4—4721no—
1607D4—4721no—
1608D4—2362no—
1609D4—2362no—
1610D4—2362no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—42no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—4721no—
1640C2×C4—4721no—
1641C2×C4—4721no—
1642C2×C4—4721no—
1643C2×C4—4721no—
1644C2×C4—4721no—
1645C2×C4—4721no—
1646C2×C4—2362no—
1647C2×C4—2362no—
1648C2×C4C22×C22⋊D5911yescharacteristic
1649C2×C4C22×C22⋊D5911yescharacteristic
1650C2×C4C22×C22⋊D5911yescharacteristic
1651C2×C4C22×C22⋊D5911yescharacteristic
1652C2×C4C22×C22⋊D5911yescharacteristic
1653C2×C4C22×C22⋊D5911yescharacteristic
1654C2×C4C22×C22⋊D5911yescharacteristic
1655C2×C4C22×C22⋊D5911yescharacteristic
1656C2×C4C22×C22⋊D5911yescharacteristic
1657C2×C4C22×C22⋊D5911yescharacteristic
1658C2×C4C22×C22⋊D5911yescharacteristic
1659C2×C4C24×D5911yescharacteristic
1660C8—1181no—
1661C8—1181no—
1662C8—1181no—
1663C8—1181no—
1664C8—1181no—
1665C8—1181no—
1666C8—1181no—
1667C8—1181no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—21no—
1676C22—21no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—1182no—
1681C22—9442no—
1682C22—2361no—
1683C22—2361no—
1684C22—2361no—
1685C22—2361no—
1686C22—2361no—
1687C22C23×C22⋊D5911yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—2361no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C4—2361no—
1711C4—2361no—
1712C4H(5,𝔽2)×D5911yescharacteristic
1713C4#1683823711yescharacteristic
1714C2—41no—
1715C2—41no—
1716C2—41no—
1717C2—81no—
1718C2—4721no—
1719C2—2362no—
1720C2#2143775811yescharacteristic
1721C2#2143888311yescharacteristic
1722C2#2143888311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3552C2
socleC22×C59C23×D4
hypercenter#3552D59
hypocenterC59#62080
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #3552

Complements

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

NH ≅ G/Ntype
1. #21438168C2semidirect
2. #21437171C2semidirect
3. #21437123C2semidirect
4. #21436917C2semidirect
5. #21436873C2semidirect
6. #21436379C2semidirect
7. #21436349C2semidirect
8. #21436267C2semidirect
9. #21436192C2semidirect
10. #21436162C2semidirect
11. #21436147C2semidirect
12. #21435742C2semidirect
13. #21435728C2semidirect
14. #21435652C2semidirect
15. #21435622C2semidirect
16. #21435607C2semidirect
17. #21435607C2semidirect
18. #21435546C2semidirect
19. #21435516C2semidirect
20. #21435492C2semidirect
21. #21435205C2semidirect
22. #21435179C2semidirect
23. #21435123C2semidirect
24. #21434343C2semidirect
25. #21434304C2semidirect
26. #21434199C2semidirect
27. #21433642C2semidirect
28. #21433604C2semidirect
29. #21433579C2semidirect
30. #21433266C2semidirect
31. C59×#3552C2semidirect
60. #16837797C22semidirect
65. #16837781C22semidirect
66. #16837770C22semidirect
67. #16837770C22semidirect
68. #16837770C22semidirect
69. #16837761C22semidirect
70. #16837756C22semidirect
71. #16837752C22semidirect
74. #16837740C22semidirect
75. #16837735C22semidirect
76. #16837730C22semidirect
77. #16837723C22semidirect
78. #16837709C22semidirect
79. #16837709C22semidirect
80. #16837709C22semidirect
81. #16837706C22semidirect
82. #16837706C22semidirect
83. #16837702C22semidirect
86. #16837697C22semidirect
87. #16837687C22semidirect
90. #16837658C22semidirect
91. #16837658C22semidirect
95. #16837646C22semidirect
98. #16837641C22semidirect
103. #16837621C22semidirect
104. #16837621C22semidirect
105. #16837621C22semidirect
112. #16837612C22semidirect
113. #16837612C22semidirect
114. #16837609C22semidirect
115. #16837609C22semidirect
116. #16837609C22semidirect
117. #16837609C22semidirect
118. #16837609C22semidirect
119. #16837609C22semidirect
120. #16837609C22semidirect
132. #16837564C22semidirect
138. #16837558C22semidirect
139. #16837558C22semidirect
140. #16837558C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
151. #16837507C22semidirect
152. #16837507C22semidirect
153. #16837502C22semidirect
158. C4×#11745672C22semidirect
163. #16837480C22semidirect
167. #16837474C22semidirect
169. #16837463C22semidirect
170. #16837459C22semidirect
172. #16837429C22semidirect
173. #16837426C22semidirect
175. #16837411C22semidirect
176. #16837411C22semidirect
177. #16837403C22semidirect
179. C2×#14273651C22semidirect
182. C59×#557C22semidirect
183. C59×#556C22semidirect
188. D4×Q8×C59C22semidirect
190. C59×#548C22semidirect
195. C59×#541C22semidirect
199. C59×#536C22semidirect
200. C2×C4⋊Q8×C59C22semidirect
202. C59×#529C22semidirect
853. #3552D59semidirect
901. #557C2×D59semidirect
904. #556C2×D59semidirect
916. D4×Q8C2×D59semidirect
918. #548C2×D59semidirect
928. #541C2×D59semidirect
934. #536C2×D59semidirect
935. C2×C4⋊Q8C2×D59semidirect
939. #529C2×D59semidirect
1064. C59#62080semidirect

Maximal subgroups

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

subgroupindex
#214381682
#214371712
#214371232
#214369172
#214368732
#214363792
#214363492
#214362672
#214361922
#214361622
#214361472
#214357422
#214357282
#214356522
#214356222
#214356072
#214355462
#214355162
#214354922
#214352052
#214351792
#214351232
#214343432
#214343042
#214341992
#214336422
#214336042
#214335792
#214332662
C59×#35522
#6208059