Finite Group Databasebeta

← #29482090

Subgroups — #29482090

Order 15104.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438672C211yesmaximal, characteristic, complemented
2#21438055C211yesmaximal, characteristic, complemented
3#21437187C211yesmaximal, characteristic, complemented
4#21437161C211yesmaximal, characteristic, complemented
5#21436885C211yesmaximal, characteristic, complemented
6#21436819C211yesmaximal, characteristic, complemented
7#21436275C211yesmaximal, characteristic, complemented
8#21436251C211yesmaximal, characteristic, complemented
9#21436155C211yesmaximal, characteristic, complemented
10#21436136C211yesmaximal, characteristic, complemented
11#21436039C211yesmaximal, characteristic, complemented
12#21436023C211yesmaximal, characteristic, complemented
13#21435796C211yesmaximal, characteristic, complemented
14#21435780C211yesmaximal, characteristic, complemented
15#21435639C211yesmaximal, characteristic, complemented
16#21435620C211yesmaximal, characteristic, complemented
17#21435584C211yesmaximal, characteristic, complemented
18#21435579C211yesmaximal, characteristic, complemented
19#21435520C211yesmaximal, characteristic, complemented
20#21435507C211yesmaximal, characteristic, complemented
21#21435419C211yesmaximal, characteristic, complemented
22#21435197C211yesmaximal, characteristic, complemented
23#21435090C211yesmaximal, characteristic, complemented
24#21434346C211yesmaximal, characteristic, complemented
25#21434340C211yesmaximal, characteristic, complemented
26#21434204C211yesmaximal, characteristic, complemented
27#21433604C211yesmaximal, characteristic, complemented
28#21433597C211yesmaximal, characteristic, complemented
29#21433554C211yesmaximal, characteristic, complemented
30#21433230C211yesmaximal, characteristic, complemented
31C59×#3225C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33C2×#14273752C2211yescharacteristic
34C2×#14273750C2211yescharacteristic
35C2×#14273750C2211yescharacteristic, complemented
36C22×#11745671C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic
38#16838148—21no—
39#16838142—21no—
40#16838134C2211yescharacteristic, complemented
41#16838134C2211yescharacteristic, complemented
42#16838126C2211yescharacteristic, complemented
43#16838123C2211yescharacteristic
44#16838118C2211yescharacteristic
45#16838116C2211yescharacteristic, complemented
46#16838097—21no—
47#16838080—21no—
48#16838079—21no—
49#16838079—21no—
50#16838071C2211yescharacteristic, complemented
51#16838067C2211yescharacteristic, complemented
52#16838063C2211yescharacteristic
53#16838063C2211yescharacteristic, complemented
54#16838062—21no—
55#16838055C2211yescharacteristic, complemented
56#16838045C2211yescharacteristic
57#16838045C2211yescharacteristic, complemented
58#16838044—21no—
59#16838043C2211yescharacteristic, complemented
60#16838040C2211yescharacteristic
61#16838036C2211yescharacteristic
62#16838024C2211yescharacteristic
63#16838013C2211yescharacteristic, complemented
64#16838007C2211yescharacteristic, complemented
65#16838004—21no—
66#16837998—21no—
67#16837992—21no—
68#16837991—21no—
69#16837988—21no—
70#16837986—21no—
71#16837970C2211yescharacteristic, complemented
72#16837953C2211yescharacteristic, complemented
73#16837949C2211yescharacteristic, complemented
74#16837935—21no—
75#16837931C2211yescharacteristic, complemented
76#16837930C2211yescharacteristic
77#124×D59—21no—
78#16837876C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic
80C4×#11745689C2211yescharacteristic, complemented
81#16837788C2211yescharacteristic
82#16837788C2211yescharacteristic, complemented
83#16837788C2211yescharacteristic, complemented
84#16837787C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837763C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837709C2211yescharacteristic, complemented
96#16837703C2211yescharacteristic, complemented
97#16837703C2211yescharacteristic, complemented
98#16837702C2211yescharacteristic, complemented
99#16837695C2211yescharacteristic, complemented
100#16837695C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837689C2211yescharacteristic, complemented
103#16837685C2211yescharacteristic, complemented
104#16837679C2211yescharacteristic, complemented
105#16837657C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic
107#16837651C2211yescharacteristic
108#16837650C2211yescharacteristic, complemented
109#16837640C2211yescharacteristic, complemented
110#16837637C2211yescharacteristic, complemented
111#16837636C2211yescharacteristic, complemented
112#16837635C2211yescharacteristic, complemented
113#16837634C2211yescharacteristic
114#16837634C2211yescharacteristic, complemented
115#16837633C2211yescharacteristic, complemented
116#16837628C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837626C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic
122#16837620C2211yescharacteristic
123#16837620C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837614C2211yescharacteristic
126#16837614C2211yescharacteristic
127#16837614C2211yescharacteristic, complemented
128#16837614C2211yescharacteristic, complemented
129#16837614C2211yescharacteristic, complemented
130#16837614C2211yescharacteristic, complemented
131#16837604C2211yescharacteristic, complemented
132#16837604C2211yescharacteristic, complemented
133#16837604C2211yescharacteristic, complemented
134#16837604C2211yescharacteristic, complemented
135#16837602C2211yescharacteristic, complemented
136#16837600C2211yescharacteristic, complemented
137#16837598C2211yescharacteristic
138#16837598C2211yescharacteristic, complemented
139#16837597C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic
141#16837595C2211yescharacteristic
142#16837595C2211yescharacteristic, complemented
143#16837563C2211yescharacteristic, complemented
144#16837563C2211yescharacteristic, complemented
145#16837551C2211yescharacteristic
146#16837551C2211yescharacteristic
147#16837551C2211yescharacteristic, complemented
148#16837550C2211yescharacteristic
149#16837550C2211yescharacteristic, complemented
150#16837550C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic
152#16837546C2211yescharacteristic, complemented
153#16837546C2211yescharacteristic, complemented
154#16837538C2211yescharacteristic
155#16837538C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic
157#16837532C2211yescharacteristic, complemented
158#16837530C2211yescharacteristic, complemented
159#16837515C2211yescharacteristic, complemented
160#16837515C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic
162#16837509C2211yescharacteristic, complemented
163#16837505C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837503C2211yescharacteristic, complemented
167SD16×Dic59C2211yescharacteristic, complemented
168#16837487C2211yescharacteristic, complemented
169C4×D472C2211yescharacteristic
170C4×D472C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic
172#16837476C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic
175C8×D236C2211yescharacteristic, complemented
176(C22⋊D59)⋊C8C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837458C2211yescharacteristic, complemented
179#16837429C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837411C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837398C2211yescharacteristic, complemented
185#16837397C2211yescharacteristic, complemented
186#16837397C2211yescharacteristic, complemented
187#16837397C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic, complemented
189C59×#536C2211yescharacteristic, complemented
190C59×#497C2211yescharacteristic, complemented
191C59×#495C2211yescharacteristic, complemented
192C59×#489C2211yescharacteristic, complemented
193C59×#487C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#461C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#451C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic
201C59×#448C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745685—21no—
208C2×Q8×D59—21no—
209C22×D236C2311yescharacteristic
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213#14273754—42no—
214#14273752—42no—
215#14273750—42no—
216#14273750—42no—
217C2×#11745671—42no—
218C2×#11745671C2311yescharacteristic
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×D472C2311yescharacteristic
227C2×D472C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×D472C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234D8×D59—42no—
235C2×#11745664C2311yescharacteristic
236C2×#11745659C2311yescharacteristic
237C22×C59⋊C8C2311yescharacteristic
238C2×C8×D59C2311yescharacteristic
239C2×C8×D59C2311yescharacteristic
240C2×C8×D59C2311yescharacteristic
241#14273726C2311yescharacteristic
242#14273726C2311yescharacteristic
243#14273724C2311yescharacteristic
244#14273723—21no—
245#14273723C2311yescharacteristic
246#14273723C2311yescharacteristic
247#14273722—21no—
248#14273722—21no—
249#14273722—21no—
250#14273722—21no—
251#14273722—21no—
252#14273722D411yescharacteristic
253#14273721—21no—
254#14273720—21no—
255#14273720—21no—
256#14273720D411yescharacteristic
257#14273719C2311yescharacteristic
258#14273717—21no—
259#14273717—21no—
260#14273717D411yescharacteristic
261#14273716—21no—
262#14273716—21no—
263#14273716—21no—
264#14273716—21no—
265#14273716C2311yescharacteristic
266#14273716C2311yescharacteristic
267#14273716C2311yescharacteristic
268#14273716C2311yescharacteristic
269#14273715—21no—
270#14273714—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713D411yescharacteristic
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712D411yescharacteristic
284#14273711—21no—
285#14273711—21no—
286#14273710—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709D411yescharacteristic
293#14273707—21no—
294#14273705—21no—
295#14273705—21no—
296#14273705—21no—
297#14273705D411yescharacteristic
298#14273703—21no—
299#14273703—21no—
300#14273703—21no—
301#14273703C2311yescharacteristic
302#14273703C2311yescharacteristic
303#14273703C2311yescharacteristic
304#14273703C2311yescharacteristic
305#14273702—21no—
306#14273702—21no—
307#14273702—21no—
308#14273702—21no—
309#14273702—21no—
310#14273702C2311yescharacteristic
311#14273702C2311yescharacteristic
312#14273701—21no—
313#14273701—21no—
314#14273701—21no—
315#14273701C2311yescharacteristic
316#14273701C2311yescharacteristic
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700D411yescharacteristic
326#14273699—21no—
327#14273699—21no—
328#14273698—21no—
329#14273698C2311yescharacteristic
330#14273698C2311yescharacteristic
331#14273697—21no—
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273695—21no—
338#14273695—21no—
339Q8×Dic59C2311yescharacteristic
340Q8×Dic59C2311yescharacteristic
341Q8×Dic59C2311yescharacteristic
342Q8×Dic59C2311yescharacteristic
343C4×Dic118C2311yescharacteristic
344#14273692—21no—
345C4×D236—21no—
346C4×D236C2311yescharacteristic
347C4×D236C2311yescharacteristic
348C4×D236C2311yescharacteristic
349C4×D236C2311yescharacteristic
350C4×D236C2311yescharacteristic
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355#14273689—21no—
356#14273689—21no—
357#14273689—21no—
358#14273689—21no—
359#14273689—21no—
360#14273689C2311yescharacteristic
361#14273689C2311yescharacteristic
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59C2311yescharacteristic
368C4×C22⋊D59C2311yescharacteristic
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373#14273686C2311yescharacteristic
374#14273685—21no—
375#14273685—21no—
376#14273685—21no—
377#14273685C2311yescharacteristic
378#14273685C2311yescharacteristic
379#14273684C2311yescharacteristic
380#14273683—21no—
381#14273683—21no—
382C4⋊C4×D59—21no—
383C2×(C2×D59)⋊C4—21no—
384C2×(C2×D59)⋊C4—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C42×D59—21no—
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C22×Q8×C59C2311yescharacteristic
443C2×Q16×C59C2311yescharacteristic
444C2×Q16×C59C2311yescharacteristic
445C2×Q16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453C4⋊Q8×C59C2311yescharacteristic
454#126×C59—21no—
455#124×C59—21no—
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460#123×C59—21no—
461#123×C59—21no—
462C22⋊Q8×C59—21no—
463C22⋊Q8×C59—21no—
464C22⋊Q8×C59—21no—
465C22⋊Q8×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469#117×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—41no—
488#41×C59—41no—
489C2×Q8×C59—21no—
490C2×Q8×C59—21no—
491C2×Q8×C59—41no—
492C2×Q8×C59—41no—
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59C2411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59C2411yescharacteristic
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59C2×D411yescharacteristic
516C2×C22⋊D59C2×D411yescharacteristic
517C22×Dic59—21no—
518C22×Dic59—21no—
519#11745689—22no—
520#11745689—41no—
521#11745689—41no—
522#11745689—41no—
523#11745689—41no—
524#11745689—41no—
525#11745689—41no—
526#11745689—41no—
527Q8×D59—82no—
528D4×D59—22no—
529D4×D59—41no—
530D4×D59—41no—
531D4×D59—41no—
532D4×D59—82no—
533#11745685—82no—
534C2×D236—22no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—41no—
545C2×D236C2×D411yescharacteristic
546C2×D236C2411yescharacteristic
547C2×D236C2411yescharacteristic
548C2×D236C2411yescharacteristic
549C2×D236C2411yescharacteristic
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2411yescharacteristic
565C2×C4×D59C2411yescharacteristic
566C2×Dic118—21no—
567C2×Dic118—21no—
568C2×Dic118C2×D411yescharacteristic
569Q16×C59—41no—
570Q16×C59—41no—
571Q16×C59—41no—
572SD16×C59—41no—
573SD16×C59—41no—
574SD16×C59—41no—
575SD16×C59—41no—
576D8×C59—41no—
577C2×C8×C59C2411yescharacteristic
578C2×C8×C59C2411yescharacteristic
579C2×C8×C59C2411yescharacteristic
580C2×C8×C59C2411yescharacteristic
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59—21no—
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59C2×D411yescharacteristic
589C4⋊C4×C59C2×D411yescharacteristic
590C4⋊C4×C59C2411yescharacteristic
591C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
601C22⋊C4×C59C2×D411yescharacteristic
602C22⋊C4×C59C2×D411yescharacteristic
603C42×C59—21no—
604C42×C59C2411yescharacteristic
605C42×C59C2411yescharacteristic
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59C2×D411yescharacteristic
612C22⋊Dic59C2×D411yescharacteristic
613#11745671—22no—
614#11745671—22no—
615#11745671—22no—
616#11745671—41no—
617#11745671—41no—
618#11745671—41no—
619#11745671—41no—
620#11745671—41no—
621#11745669—22no—
622#11745669—41no—
623#11745669—41no—
624#11745669—41no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59C2×D411yescharacteristic
662C4⋊Dic59C2×D411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C4×Dic59C2411yescharacteristic
692#11745664—41no—
693C2×C59⋊C8—41no—
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698D472—22no—
699D472—22no—
700D472—41no—
701D472—41no—
702#11745659—41no—
703C8×D59—41no—
704C8×D59—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59C22×D411yescharacteristic
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59C22×D411yescharacteristic
723C22×D59C22×D411yescharacteristic
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—21no—
728Q8×C59—21no—
729Q8×C59—21no—
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—81no—
733Q8×C59—81no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—81no—
739D4×C59—81no—
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—81no—
749C2×C4×C59—81no—
750C2×C4×C59—81no—
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C2511yescharacteristic
757C22⋊D59—41no—
758C22⋊D59—41no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—81no—
774C2×Dic59—81no—
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781D236—21no—
782D236—21no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—41no—
789D236—42no—
790D236—42no—
791D236—81no—
792D236—81no—
793D236—81no—
794D236—81no—
795D236—81no—
796D236—81no—
797D236—81no—
798D236H(5,𝔽2)12yes—
799C4×D59—21no—
800C4×D59—21no—
801C4×D59—21no—
802C4×D59—21no—
803C4×D59—41no—
804C4×D59—41no—
805C4×D59—42no—
806C4×D59—42no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813C4×D59—81no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817Dic118—41no—
818Dic118—42no—
819Dic118—81no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C8×C59—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827C59⋊C8—21no—
828#62011—591nomaximal, Sylow
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59C23×D411yescharacteristic
839C2×D59—21no—
840C2×D59—21no—
841C2×D59—21no—
842C2×D59—21no—
843C2×D59—21no—
844C2×D59—21no—
845C2×D59—22no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—162no—
858C2×D59—162no—
859C2×D59—162no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—21no—
863C4×C59—21no—
864C4×C59—21no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59—41no—
870C4×C59—41no—
871C4×C59C2×H(5,𝔽2)11yescharacteristic
872C4×C59#58511yescharacteristic
873Dic59—21no—
874Dic59—21no—
875Dic59—21no—
876Dic59—21no—
877Dic59—21no—
878Dic59—21no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883#3562—591no—
884#3514—591no—
885#3403—591no—
886#3401—591no—
887#3373—591no—
888#3367—591no—
889#3321—591no—
890#3319—591no—
891#3313—591no—
892#3311—591no—
893#3305—591no—
894#3303—591no—
895#3282—591no—
896#3280—591no—
897#3268—591no—
898#3267—591no—
899#3265—591no—
900#3264—591no—
901#3258—591no—
902#3257—591no—
903#3247—591no—
904#3225D5911yescharacteristic, complemented
905#3224—591no—
906#3214—591no—
907#3123—591no—
908#3122—591no—
909#3111—591no—
910#3042—591no—
911#3041—591no—
912#3035—591no—
913#2992—591no—
914C2×C59—41no—
915C2×C59—81no—
916C2×C59—81no—
917C2×C59#348811yescharacteristic
918C2×C59#358411yescharacteristic
919C2×C59#358511yescharacteristic
920D59—41no—
921D59—41no—
922D59—42no—
923D59—81no—
924D59—81no—
925D59—81no—
926C2×AGL(1,ℤ/8)—591no—
927C2×AGL(1,ℤ/8)—591no—
928C2×#135—591no—
929C2×#135—591no—
930C22×SD16—591no—
931C22×D8—591no—
932#562—1181no—
933#560—1181no—
934#559—591no—
935#559—591no—
936#556—591no—
937#556—591no—
938#555—591no—
939#555—591no—
940#553—1181no—
941#551—1181no—
942#551—1181no—
943#551—1181no—
944#550—591no—
945D4×Q8—591no—
946#548—591no—
947#548—591no—
948#548—1181no—
949#547—591no—
950#546—591no—
951#546—591no—
952#546—591no—
953#546—591no—
954#546—1181no—
955D42—591no—
956#542—591no—
957#542C2×D5911yescharacteristic, complemented
958#541—591no—
959#540—591no—
960#540—1181no—
961#539—1181no—
962#538—1181no—
963#538—1181no—
964#538—1181no—
965#538—1181no—
966#536C2×D5911yescharacteristic, complemented
967#535—591no—
968#532—591no—
969#532—591no—
970#529—591no—
971#529—591no—
972#529—1181no—
973C2×#124—1181no—
974#518—591no—
975#518—591no—
976C4×#41—591no—
977#497C2×D5911yescharacteristic, complemented
978#496—591no—
979#496—591no—
980#496—591no—
981#495—591no—
982#495C2×D5911yescharacteristic, complemented
983#489—591no—
984#489—591no—
985#489—591no—
986#489C2×D5911yescharacteristic, complemented
987#487C2×D5911yescharacteristic, complemented
988#486—591no—
989#485—591no—
990#485—591no—
991#485—591no—
992#482—591no—
993#482—591no—
994#482—591no—
995#479—591no—
996#478—591no—
997#478—591no—
998#478—591no—
999#477—591no—
1000#477—591no—
1001#476—591no—
1002#476—591no—
1003#475—591no—
1004#474—591no—
1005#470—591no—
1006#469—591no—
1007#468—591no—
1008#468—591no—
1009#467—591no—
1010#466—591no—
1011#466—591no—
1012#466—591no—
1013#465—591no—
1014#465—591no—
1015#465—591no—
1016#465—591no—
1017#464—591no—
1018#464—591no—
1019#464—591no—
1020#464—591no—
1021#464C2×D5911yescharacteristic, complemented
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463C2×D5911yescharacteristic, complemented
1033#462C2×D5911yescharacteristic, complemented
1034#461—591no—
1035#461—591no—
1036#461—591no—
1037#461—591no—
1038#461C2×D5911yescharacteristic, complemented
1039#460—591no—
1040#460—591no—
1041#459—591no—
1042#459—591no—
1043#459—591no—
1044#459—591no—
1045#459—591no—
1046#459—591no—
1047#452—591no—
1048#452—591no—
1049#452C2×D5911yescharacteristic, complemented
1050#451C2×D5911yescharacteristic, complemented
1051#450—591no—
1052#450—591no—
1053#450—591no—
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#449—591no—
1060#449C2×D5911yescharacteristic
1061#448C2×D5911yescharacteristic, complemented
1062#447—591no—
1063#447—591no—
1064#447—591no—
1065#446—591no—
1066#446—591no—
1067#442—591no—
1068#442—591no—
1069#442—591no—
1070#441—591no—
1071#440—591no—
1072#440—591no—
1073#440—591no—
1074#440—591no—
1075C4×SD16—591no—
1076C4×SD16—591no—
1077C4×D8—591no—
1078C4×D8—591no—
1079#435—591no—
1080#435—591no—
1081#435—591no—
1082#435—591no—
1083C8×D4—591no—
1084C8×D4—591no—
1085#433—591no—
1086#433C2×D5911yescharacteristic, complemented
1087#432—591no—
1088#424—591no—
1089#424—591no—
1090C2×C4⋊C8—591no—
1091#419—591no—
1092#418—591no—
1093#416—591no—
1094#416—591no—
1095#416—591no—
1096#416—591no—
1097C59#6201111yescharacteristic, complemented, Sylow
1098C2×#41—591no—
1099C2×#41—591no—
1100C2×#41—591no—
1101C2×#41—591no—
1102C2×#41—1181no—
1103C2×#41C22×D5911yescharacteristic
1104C22×Q8—1181no—
1105C22×Q8C22×D5911yescharacteristic
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—591no—
1109C22×D4—1181no—
1110AGL(1,ℤ/8)—2362no—
1111AGL(1,ℤ/8)—2362no—
1112#135—2362no—
1113#135—2362no—
1114C2×Q16C22×D5911yescharacteristic
1115C2×Q16C22×D5911yescharacteristic
1116C2×Q16C22×D5911yescharacteristic
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—2362no—
1126C2×SD16C22×D5911yescharacteristic
1127C2×SD16C22×D5911yescharacteristic
1128C2×SD16C22×D5911yescharacteristic
1129C2×SD16C22×D5911yescharacteristic
1130C2×D8—591no—
1131C2×D8—591no—
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8—591no—
1135C2×D8—591no—
1136C2×D8—591no—
1137C2×D8—591no—
1138C2×D8—2362no—
1139C2×D8C22×D5911yescharacteristic
1140C2×M16—591no—
1141C2×M16—591no—
1142C22×C8—591no—
1143C22×C8—591no—
1144C22×C8—591no—
1145C22×C8—591no—
1146C4⋊Q8—591no—
1147C4⋊Q8—591no—
1148C4⋊Q8C22×D5911yescharacteristic
1149C4⋊Q8C22×D5911yescharacteristic
1150C4⋊Q8C22×D5911yescharacteristic
1151#127—591no—
1152#127—591no—
1153#127—591no—
1154#127—1181no—
1155#126—21no—
1156#126—591no—
1157#126—591no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#126—1181no—
1165#126—1181no—
1166#125—591no—
1167#125—591no—
1168#125—1181no—
1169#125—1181no—
1170#124—21no—
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124C22×D5911yescharacteristic
1188#124C22×D5911yescharacteristic
1189#124C22×D5911yescharacteristic
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—591no—
1194#123—591no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—591no—
1213C22⋊Q8—591no—
1214C22⋊Q8—591no—
1215C22⋊Q8—591no—
1216C22⋊Q8—591no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8C22×D5911yescharacteristic
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121C22×D5911yescharacteristic
1252#120—1181no—
1253#120—1181no—
1254#120—1181no—
1255#120—1181no—
1256#120—1181no—
1257#120—1181no—
1258#120—1181no—
1259#120—1181no—
1260C4×Q8—591no—
1261C4×Q8—591no—
1262C4×Q8—591no—
1263C4×Q8—591no—
1264C4×Q8—591no—
1265C4×Q8—1181no—
1266C4×Q8C22×D5911yescharacteristic
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—591no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4C22×D5911yescharacteristic
1296#117—591no—
1297#117—591no—
1298#117—591no—
1299#117—591no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304#117—1181no—
1305#117C22×D5911yescharacteristic
1306C2×C4⋊C4—1181no—
1307C2×C22⋊C4—1181no—
1308C2×C22⋊C4—1181no—
1309C2×C22⋊C4—1181no—
1310C2×C22⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C42—591no—
1316C2×C42—1181no—
1317#107—591no—
1318#107—591no—
1319#107—591no—
1320#107—591no—
1321#106—591no—
1322#106—591no—
1323#106—591no—
1324#106—591no—
1325C4⋊C8—591no—
1326C4⋊C8—591no—
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8—591no—
1332C4⋊C8—591no—
1333C4⋊C8C22×D5911yescharacteristic
1334C4⋊C8C22×D5911yescharacteristic
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103C22×D5911yescharacteristic
1344#103C22×D5911yescharacteristic
1345#103C22×D5911yescharacteristic
1346#103C22×D5911yescharacteristic
1347#103C22×D5911yescharacteristic
1348#103C22×D5911yescharacteristic
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102C22×D5911yescharacteristic
1366#102C22×D5911yescharacteristic
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8—591no—
1370C22⋊C8—591no—
1371C22⋊C8C22×D5911yescharacteristic
1372C22⋊C8C22×D5911yescharacteristic
1373#97—591no—
1374#97—591no—
1375#97—591no—
1376#97C22×D5911yescharacteristic
1377C4×C8—591no—
1378C4×C8C22×D5911yescharacteristic
1379C24—1181no—
1380C24—1181no—
1381C24—1181no—
1382#41—41no—
1383#41—41no—
1384#41—1182no—
1385#41—4722no—
1386#41—2361no—
1387#41—2361no—
1388#41—2361no—
1389#41—2361no—
1390#41—2361no—
1391#41—2361no—
1392#41—2361no—
1393C2×Q8—21no—
1394C2×Q8—21no—
1395C2×Q8—41no—
1396C2×Q8—41no—
1397C2×Q8—591no—
1398C2×Q8—1181no—
1399C2×Q8—1181no—
1400C2×Q8—4722no—
1401C2×Q8C23×D5911yescharacteristic
1402C2×Q8C23×D5911yescharacteristic
1403C2×Q8C23×D5911yescharacteristic
1404C2×Q8C23×D5911yescharacteristic
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—591no—
1410C2×D4—591no—
1411C2×D4—591no—
1412C2×D4—591no—
1413C2×D4—591no—
1414C2×D4—1182no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1182no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—4722no—
1436C2×D4—2361no—
1437C2×D4—2361no—
1438C2×D4—2361no—
1439C2×D4—2361no—
1440C2×D4C23×D5911yescharacteristic
1441C2×D4C23×D5911yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—591no—
1446C22×C4—591no—
1447C22×C4—591no—
1448C22×C4—591no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4C23×D5911yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—41no—
1467SD16—41no—
1468SD16—41no—
1469SD16—41no—
1470SD16—41no—
1471SD16—1182no—
1472SD16—1182no—
1473SD16—1182no—
1474SD16—2361no—
1475SD16—2361no—
1476SD16—2361no—
1477SD16—2361no—
1478SD16—2361no—
1479D8—41no—
1480D8—1182no—
1481D8—1182no—
1482D8—1182no—
1483D8—2361no—
1484D8—2361no—
1485D8—2361no—
1486D8—2361no—
1487D8—2361no—
1488M16—2361no—
1489M16—2361no—
1490C2×C8—591no—
1491C2×C8—591no—
1492C2×C8—591no—
1493C2×C8—591no—
1494C2×C8—2361no—
1495C2×C8—2361no—
1496C2×C8—2361no—
1497C2×C8—2361no—
1498C2×C8C23×D5911yescharacteristic
1499C2×C8C23×D5911yescharacteristic
1500C2×C8C23×D5911yescharacteristic
1501C2×C8C23×D5911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
1514C4⋊C4—591no—
1515C4⋊C4—591no—
1516C4⋊C4—591no—
1517C4⋊C4—591no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4D4×D5911yescharacteristic
1534C4⋊C4D4×D5911yescharacteristic
1535C4⋊C4C23×D5911yescharacteristic
1536C4⋊C4C23×D5911yescharacteristic
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—591no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
1550C22⋊C4—591no—
1551C22⋊C4—591no—
1552C22⋊C4—591no—
1553C22⋊C4—591no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4D4×D5911yescharacteristic
1586C22⋊C4D4×D5911yescharacteristic
1587C42—21no—
1588C42—591no—
1589C42—591no—
1590C42—591no—
1591C42—591no—
1592C42—1181no—
1593C42—1181no—
1594C42—1181no—
1595C42—1181no—
1596C42—1181no—
1597C42—1181no—
1598C42—1181no—
1599C42C23×D5911yescharacteristic
1600C42C23×D5911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—591no—
1604C23—591no—
1605C23—1181no—
1606C23—1181no—
1607C23—1181no—
1608C23—1181no—
1609C23—4721no—
1610C23—4721no—
1611C23—4721no—
1612C23—4721no—
1613C23—4721no—
1614C23—4721no—
1615C23—4721no—
1616C23—2362no—
1617C23—2362no—
1618C23C2×D4×D5911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—21no—
1626Q8—21no—
1627Q8—81no—
1628Q8—81no—
1629Q8—4721no—
1630Q8—2361no—
1631Q8—2362no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—81no—
1637D4—81no—
1638D4—592no—
1639D4—1181no—
1640D4—1181no—
1641D4—1181no—
1642D4—1181no—
1643D4—1181no—
1644D4—1181no—
1645D4—1181no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—4721no—
1654D4—4721no—
1655D4—4721no—
1656D4—4721no—
1657D4—4721no—
1658D4—4721no—
1659D4—4721no—
1660D4—4721no—
1661D4—2361no—
1662D4—2362no—
1663D4—2362no—
1664D4—2361no—
1665D4—2361no—
1666D4—2362no—
1667D4—2362no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—591no—
1680C2×C4—591no—
1681C2×C4—591no—
1682C2×C4—591no—
1683C2×C4—591no—
1684C2×C4—591no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—4721no—
1694C2×C4—4721no—
1695C2×C4—4721no—
1696C2×C4—4721no—
1697C2×C4—4721no—
1698C2×C4—4721no—
1699C2×C4—4721no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—4721no—
1703C2×C4—4721no—
1704C2×C4—4721no—
1705C2×C4—2361no—
1706C2×C4—2361no—
1707C2×C4—2362no—
1708C2×C4—2362no—
1709C2×C4C2×D4×D5911yescharacteristic
1710C2×C4C2×D4×D5911yescharacteristic
1711C2×C4C2×D4×D5911yescharacteristic
1712C2×C4C2×D4×D5911yescharacteristic
1713C2×C4C2×D4×D5911yescharacteristic
1714C2×C4C24×D5911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1181no—
1720C8—1181no—
1721C8—1181no—
1722C8—1181no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—1181no—
1733C22—1181no—
1734C22—1182no—
1735C22—1181no—
1736C22—1181no—
1737C22—1181no—
1738C22—1181no—
1739C22—9442no—
1740C22—9442no—
1741C22—9442no—
1742C22—2361no—
1743C22—2361no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22C22×D4×D5911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—1181no—
1766C4—1181no—
1767C4—1181no—
1768C4—1181no—
1769C4—1181no—
1770C4—1181no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C4H(5,𝔽2)×D5911yescharacteristic
1776C4#1683823711yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—4721no—
1781C2—4721no—
1782C2—4721no—
1783C2—2361no—
1784C2—2361no—
1785C2—2362no—
1786C2#2143776311yescharacteristic
1787C2#2143886611yescharacteristic
1788C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3225C2
socleC22×C59C23×D4
hypercenter#3225D59
hypocenterC59#62011
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #21438672C2semidirect
2. #21438055C2semidirect
3. #21437187C2semidirect
4. #21437161C2semidirect
5. #21436885C2semidirect
6. #21436819C2semidirect
7. #21436275C2semidirect
8. #21436251C2semidirect
9. #21436155C2semidirect
10. #21436136C2semidirect
11. #21436039C2semidirect
12. #21436023C2semidirect
13. #21435796C2semidirect
14. #21435780C2semidirect
15. #21435639C2semidirect
16. #21435620C2semidirect
17. #21435584C2semidirect
18. #21435579C2semidirect
19. #21435520C2semidirect
20. #21435507C2semidirect
21. #21435419C2semidirect
22. #21435197C2semidirect
23. #21435090C2semidirect
24. #21434346C2semidirect
25. #21434340C2semidirect
26. #21434204C2semidirect
27. #21433604C2semidirect
28. #21433597C2semidirect
29. #21433554C2semidirect
30. #21433230C2semidirect
31. C59×#3225C2semidirect
35. C2×#14273750C22semidirect
36. C22×#11745671C22semidirect
40. #16838134C22semidirect
41. #16838134C22semidirect
42. #16838126C22semidirect
45. #16838116C22semidirect
50. #16838071C22semidirect
51. #16838067C22semidirect
53. #16838063C22semidirect
55. #16838055C22semidirect
57. #16838045C22semidirect
59. #16838043C22semidirect
63. #16838013C22semidirect
64. #16838007C22semidirect
71. #16837970C22semidirect
72. #16837953C22semidirect
73. #16837949C22semidirect
75. #16837931C22semidirect
78. #16837876C22semidirect
80. C4×#11745689C22semidirect
82. #16837788C22semidirect
83. #16837788C22semidirect
84. #16837787C22semidirect
85. #16837763C22semidirect
86. #16837763C22semidirect
87. #16837763C22semidirect
88. #16837747C22semidirect
89. #16837742C22semidirect
90. #16837742C22semidirect
91. #16837741C22semidirect
92. #16837727C22semidirect
93. #16837727C22semidirect
94. #16837725C22semidirect
95. #16837709C22semidirect
96. #16837703C22semidirect
97. #16837703C22semidirect
98. #16837702C22semidirect
99. #16837695C22semidirect
100. #16837695C22semidirect
101. #16837690C22semidirect
102. #16837689C22semidirect
103. #16837685C22semidirect
104. #16837679C22semidirect
105. #16837657C22semidirect
108. #16837650C22semidirect
109. #16837640C22semidirect
110. #16837637C22semidirect
111. #16837636C22semidirect
112. #16837635C22semidirect
114. #16837634C22semidirect
115. #16837633C22semidirect
116. #16837628C22semidirect
117. #16837626C22semidirect
118. #16837626C22semidirect
119. #16837626C22semidirect
120. #16837626C22semidirect
123. #16837620C22semidirect
124. #16837619C22semidirect
127. #16837614C22semidirect
128. #16837614C22semidirect
129. #16837614C22semidirect
130. #16837614C22semidirect
131. #16837604C22semidirect
132. #16837604C22semidirect
133. #16837604C22semidirect
134. #16837604C22semidirect
135. #16837602C22semidirect
136. #16837600C22semidirect
138. #16837598C22semidirect
139. #16837597C22semidirect
142. #16837595C22semidirect
143. #16837563C22semidirect
144. #16837563C22semidirect
147. #16837551C22semidirect
149. #16837550C22semidirect
150. #16837550C22semidirect
152. #16837546C22semidirect
153. #16837546C22semidirect
155. #16837538C22semidirect
157. #16837532C22semidirect
158. #16837530C22semidirect
159. #16837515C22semidirect
160. #16837515C22semidirect
162. #16837509C22semidirect
163. #16837505C22semidirect
164. #16837505C22semidirect
165. #16837503C22semidirect
166. #16837503C22semidirect
167. SD16×Dic59C22semidirect
168. #16837487C22semidirect
170. C4×D472C22semidirect
172. #16837476C22semidirect
173. #16837475C22semidirect
175. C8×D236C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837462C22semidirect
178. #16837458C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837411C22semidirect
183. #16837405C22semidirect
184. #16837398C22semidirect
185. #16837397C22semidirect
186. #16837397C22semidirect
187. #16837397C22semidirect
188. C59×#542C22semidirect
189. C59×#536C22semidirect
190. C59×#497C22semidirect
191. C59×#495C22semidirect
192. C59×#489C22semidirect
193. C59×#487C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#462C22semidirect
197. C59×#461C22semidirect
198. C59×#452C22semidirect
199. C59×#451C22semidirect
201. C59×#448C22semidirect
202. C59×#433C22semidirect
904. #3225D59semidirect
957. #542C2×D59semidirect
966. #536C2×D59semidirect
977. #497C2×D59semidirect
982. #495C2×D59semidirect
986. #489C2×D59semidirect
987. #487C2×D59semidirect
1021. #464C2×D59semidirect
1032. #463C2×D59semidirect
1033. #462C2×D59semidirect
1038. #461C2×D59semidirect
1049. #452C2×D59semidirect
1050. #451C2×D59semidirect
1061. #448C2×D59semidirect
1086. #433C2×D59semidirect
1097. C59#62011semidirect

Maximal subgroups

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

subgroupindex
#214386722
#214380552
#214371872
#214371612
#214368852
#214368192
#214362752
#214362512
#214361552
#214361362
#214360392
#214360232
#214357962
#214357802
#214356392
#214356202
#214355842
#214355792
#214355202
#214355072
#214354192
#214351972
#214350902
#214343462
#214343402
#214342042
#214336042
#214335972
#214335542
#214332302
C59×#32252
#6201159