Finite Group Databasebeta

← D59×#3225 #29460076

Subgroups — D59×#3225 #29460076

Order 15104.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1848 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#542×D59C211yesmaximal, characteristic, complemented
2#536×D59C211yesmaximal, characteristic, complemented
3#21435212C211yesmaximal, characteristic, complemented
4#21435211C211yesmaximal, characteristic, complemented
5#21435210C211yesmaximal, characteristic, complemented
6#21435209C211yesmaximal, characteristic, complemented
7#21435208C211yesmaximal, characteristic, complemented
8#21435207C211yesmaximal, characteristic, complemented
9#21435206C211yesmaximal, characteristic, complemented
10#21435205C211yesmaximal, characteristic, complemented
11#21435204C211yesmaximal, characteristic, complemented
12#21435203C211yesmaximal, characteristic, complemented
13#21435202C211yesmaximal, characteristic, complemented
14#21435201C211yesmaximal, characteristic, complemented
15#21435200C211yesmaximal, characteristic, complemented
16#21435199C211yesmaximal, characteristic, complemented
17#21435198C211yesmaximal, characteristic, complemented
18#497×D59C211yesmaximal, characteristic, complemented
19#495×D59C211yesmaximal, characteristic, complemented
20#489×D59C211yesmaximal, characteristic, complemented
21#487×D59C211yesmaximal, characteristic, complemented
22#464×D59C211yesmaximal, characteristic, complemented
23#462×D59C211yesmaximal, characteristic, complemented
24#463×D59C211yesmaximal, characteristic, complemented
25#461×D59C211yesmaximal, characteristic, complemented
26#452×D59C211yesmaximal, characteristic, complemented
27#449×D59C211yesmaximal, characteristic
28#451×D59C211yesmaximal, characteristic, complemented
29#448×D59C211yesmaximal, characteristic, complemented
30#433×D59C211yesmaximal, characteristic, complemented
31C59×#3225C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C22×Q8×D59C2211yescharacteristic
34C2×Q16×D59C2211yescharacteristic
35C2×Q16×D59C2211yescharacteristic
36C2×Q16×D59C2211yescharacteristic
37C2×SD16×D59C2211yescharacteristic
38C2×SD16×D59C2211yescharacteristic
39C2×SD16×D59C2211yescharacteristic
40C2×SD16×D59C2211yescharacteristic
41C2×D8×D59C2211yescharacteristic
42#16838026C2211yescharacteristic, complemented
43#16838025C2211yescharacteristic, complemented
44#16838024C2211yescharacteristic, complemented
45#16838023C2211yescharacteristic, complemented
46#16838022—21no—
47#16838021C2211yescharacteristic, complemented
48#16838020—21no—
49#16838019C2211yescharacteristic, complemented
50#16838018—21no—
51#16838017C2211yescharacteristic, complemented
52#16838016—21no—
53#16837978C2211yescharacteristic, complemented
54#16837977C2211yescharacteristic, complemented
55#16837977C2211yescharacteristic, complemented
56#16837976C2211yescharacteristic, complemented
57#16837975—21no—
58#16837975—21no—
59#16837974—21no—
60#16837974—21no—
61#16837973C2211yescharacteristic, complemented
62#16837972C2211yescharacteristic, complemented
63#16837972C2211yescharacteristic, complemented
64C4⋊Q8×D59C2211yescharacteristic
65C4⋊Q8×D59C2211yescharacteristic
66C4⋊Q8×D59C2211yescharacteristic
67#126×D59—21no—
68#124×D59—21no—
69#124×D59C2211yescharacteristic
70#124×D59C2211yescharacteristic
71#124×D59C2211yescharacteristic
72#123×D59—21no—
73#123×D59—21no—
74#123×D59—21no—
75C22⋊Q8×D59—21no—
76C22⋊Q8×D59—21no—
77C22⋊Q8×D59—21no—
78C22⋊Q8×D59C2211yescharacteristic
79#121×D59C2211yescharacteristic
80C4×Q8×D59C2211yescharacteristic
81C4×D4×D59C2211yescharacteristic
82#117×D59C2211yescharacteristic
83#16837797C2211yescharacteristic, complemented
84#16837796C2211yescharacteristic, complemented
85#16837795C2211yescharacteristic, complemented
86#16837795C2211yescharacteristic, complemented
87#16837794C2211yescharacteristic, complemented
88#16837793C2211yescharacteristic, complemented
89#16837793C2211yescharacteristic, complemented
90#16837787C2211yescharacteristic, complemented
91#16837786C2211yescharacteristic, complemented
92#16837785C2211yescharacteristic, complemented
93#16837784C2211yescharacteristic, complemented
94#16837784C2211yescharacteristic, complemented
95#16837783C2211yescharacteristic, complemented
96#16837783C2211yescharacteristic, complemented
97#16837764C2211yescharacteristic, complemented
98#16837763C2211yescharacteristic, complemented
99#16837763C2211yescharacteristic, complemented
100#16837762C2211yescharacteristic, complemented
101#16837761C2211yescharacteristic, complemented
102#16837760C2211yescharacteristic, complemented
103#16837760C2211yescharacteristic, complemented
104#16837754C2211yescharacteristic, complemented
105#16837753C2211yescharacteristic, complemented
106#16837752C2211yescharacteristic, complemented
107#16837751C2211yescharacteristic, complemented
108#16837751C2211yescharacteristic, complemented
109#16837751C2211yescharacteristic, complemented
110#16837751C2211yescharacteristic, complemented
111#16837627C2211yescharacteristic, complemented
112#16837626C2211yescharacteristic, complemented
113#16837625C2211yescharacteristic, complemented
114#16837624C2211yescharacteristic, complemented
115#16837623C2211yescharacteristic, complemented
116#16837622C2211yescharacteristic, complemented
117#16837621C2211yescharacteristic, complemented
118#16837620C2211yescharacteristic, complemented
119#16837619C2211yescharacteristic, complemented
120#16837618C2211yescharacteristic, complemented
121#16837617C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837613C2211yescharacteristic, complemented
126#16837612C2211yescharacteristic, complemented
127#16837611C2211yescharacteristic, complemented
128#16837611C2211yescharacteristic, complemented
129#16837610C2211yescharacteristic, complemented
130#16837610C2211yescharacteristic, complemented
131#16837609C2211yescharacteristic, complemented
132#16837608C2211yescharacteristic, complemented
133#16837607C2211yescharacteristic, complemented
134#16837606C2211yescharacteristic, complemented
135#16837606C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837605C2211yescharacteristic, complemented
138#16837604C2211yescharacteristic, complemented
139#16837567C2211yescharacteristic, complemented
140#16837566C2211yescharacteristic, complemented
141#16837565C2211yescharacteristic, complemented
142#16837564C2211yescharacteristic, complemented
143#16837563C2211yescharacteristic, complemented
144#16837562C2211yescharacteristic, complemented
145#16837561C2211yescharacteristic, complemented
146#16837560C2211yescharacteristic, complemented
147#16837559C2211yescharacteristic, complemented
148#16837559C2211yescharacteristic, complemented
149#16837558C2211yescharacteristic, complemented
150#16837557C2211yescharacteristic, complemented
151#16837556C2211yescharacteristic, complemented
152#16837556C2211yescharacteristic, complemented
153#16837550C2211yescharacteristic
154#16837549C2211yescharacteristic
155#16837548C2211yescharacteristic
156#16837547C2211yescharacteristic
157#16837546C2211yescharacteristic
158#16837545C2211yescharacteristic
159#16837544C2211yescharacteristic
160#16837543C2211yescharacteristic, complemented
161#16837542C2211yescharacteristic, complemented
162#16837542C2211yescharacteristic, complemented
163#16837541C2211yescharacteristic, complemented
164#16837540C2211yescharacteristic, complemented
165#16837539C2211yescharacteristic, complemented
166#16837539C2211yescharacteristic, complemented
167#16837464C2211yescharacteristic, complemented
168#16837463C2211yescharacteristic, complemented
169#16837462C2211yescharacteristic, complemented
170#16837462C2211yescharacteristic, complemented
171#16837461C2211yescharacteristic, complemented
172#16837460C2211yescharacteristic, complemented
173#16837460C2211yescharacteristic, complemented
174C4⋊C8×D59C2211yescharacteristic
175C4⋊C8×D59C2211yescharacteristic
176#103×D59C2211yescharacteristic
177#103×D59C2211yescharacteristic
178#103×D59C2211yescharacteristic
179#103×D59C2211yescharacteristic
180#103×D59C2211yescharacteristic
181#103×D59C2211yescharacteristic
182#102×D59C2211yescharacteristic
183#102×D59C2211yescharacteristic
184C22⋊C8×D59C2211yescharacteristic
185C22⋊C8×D59C2211yescharacteristic
186#97×D59C2211yescharacteristic
187C4×C8×D59C2211yescharacteristic
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×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687C2311yescharacteristic
208#41×D59—42no—
209#41×D59—42no—
210C22×Dic118—21no—
211C22×Dic118C2311yescharacteristic
212C2×Q8×D59—21no—
213C2×Q8×D59—21no—
214C2×Q8×D59—21no—
215C2×Q8×D59—42no—
216C2×Q8×D59—42no—
217C2×Q8×D59C2311yescharacteristic
218C2×Q8×D59C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C22×C4×D59—21no—
228C22×C4×D59—21no—
229C22×C4×D59—21no—
230C22×C4×D59C2311yescharacteristic
231C2×Dic236C2311yescharacteristic
232C2×Dic236C2311yescharacteristic
233C2×Dic236C2311yescharacteristic
234C2×#11745672C2311yescharacteristic
235C2×#11745672C2311yescharacteristic
236C2×#11745672C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745672C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240Q16×D59—42no—
241Q16×D59—42no—
242Q16×D59—42no—
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745670C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×#11745671C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255SD16×D59—42no—
256SD16×D59—42no—
257SD16×D59—42no—
258SD16×D59—42no—
259C2×D472C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262D8×D59—42no—
263C2×C8×D59C2311yescharacteristic
264C2×C8×D59C2311yescharacteristic
265C2×C8×D59C2311yescharacteristic
266C2×C8×D59C2311yescharacteristic
267#14273727C2311yescharacteristic
268#14273727C2311yescharacteristic
269#14273727C2311yescharacteristic
270#14273726—21no—
271#14273726—21no—
272#14273726—21no—
273#14273726—21no—
274#14273726—21no—
275#14273726C2311yescharacteristic
276#14273726C2311yescharacteristic
277#14273725—21no—
278#14273725C2311yescharacteristic
279#14273725C2311yescharacteristic
280#14273725C2311yescharacteristic
281#14273725C2311yescharacteristic
282#14273722—21no—
283#14273722—21no—
284#14273722—21no—
285#14273721—21no—
286#14273720—21no—
287#14273720—21no—
288#14273720—21no—
289#14273716—21no—
290#14273716C2311yescharacteristic
291#14273716C2311yescharacteristic
292#14273716C2311yescharacteristic
293#14273715—21no—
294#14273715C2311yescharacteristic
295#14273715C2311yescharacteristic
296#14273715C2311yescharacteristic
297#14273714—21no—
298#14273714C2311yescharacteristic
299#14273714C2311yescharacteristic
300#14273714C2311yescharacteristic
301#14273713—21no—
302#14273713—21no—
303#14273713—21no—
304#14273713—21no—
305#14273713—21no—
306#14273713—21no—
307#14273713—21no—
308#14273713—21no—
309#14273713—21no—
310#14273713—21no—
311#14273712—21no—
312#14273712—21no—
313#14273712—21no—
314#14273712—21no—
315#14273712—21no—
316#14273712—21no—
317#14273711—21no—
318#14273711—21no—
319#14273711—21no—
320#14273710—21no—
321#14273710—21no—
322#14273710—21no—
323#14273709—21no—
324#14273709—21no—
325#14273709—21no—
326#14273709—21no—
327#14273709—21no—
328#14273709—21no—
329#14273708—21no—
330#14273708—21no—
331#14273708—21no—
332#14273707—21no—
333#14273707—21no—
334#14273707—21no—
335#14273707C2311yescharacteristic
336#14273706—21no—
337#14273706—21no—
338#14273706—21no—
339#14273706C2311yescharacteristic
340#14273705—21no—
341#14273705—21no—
342#14273705—21no—
343#14273705—21no—
344#14273705—21no—
345#14273705—21no—
346#14273705—21no—
347#14273704—21no—
348#14273704—21no—
349#14273704—21no—
350#14273704—21no—
351#14273704—21no—
352#14273704—21no—
353#14273704—21no—
354#14273703—21no—
355#14273703—21no—
356#14273703—21no—
357#14273703C2311yescharacteristic
358#14273702C2311yescharacteristic
359#14273701C2311yescharacteristic
360#14273700—21no—
361#14273699—21no—
362#14273698C2311yescharacteristic
363Q8×Dic59C2311yescharacteristic
364C4×Dic118—21no—
365C4×Dic118C2311yescharacteristic
366#14273692—21no—
367#14273692C2311yescharacteristic
368C4×D236C2311yescharacteristic
369D4×Dic59C2311yescharacteristic
370#14273689C2311yescharacteristic
371C4×C22⋊D59—21no—
372(C22⋊D59)⋊C4—21no—
373#14273686C2311yescharacteristic
374#14273685D411yescharacteristic
375#14273685D411yescharacteristic
376#14273684C2311yescharacteristic
377#14273684C2311yescharacteristic
378#14273683D411yescharacteristic
379#14273683D411yescharacteristic
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59—21no—
385C4⋊C4×D59—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59D411yescharacteristic
388C4⋊C4×D59D411yescharacteristic
389C4⋊C4×D59C2311yescharacteristic
390C4⋊C4×D59C2311yescharacteristic
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59D411yescharacteristic
401C22⋊C4×D59D411yescharacteristic
402C42×D59—21no—
403C42×D59C2311yescharacteristic
404C42×D59C2311yescharacteristic
405C4⋊(C59⋊C8)C2311yescharacteristic
406C4⋊(C59⋊C8)C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273652C2311yescharacteristic
416#14273652C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273651C2311yescharacteristic
420#14273651C2311yescharacteristic
421#14273651C2311yescharacteristic
422#14273651C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273650C2311yescharacteristic
425#14273650C2311yescharacteristic
426#14273650C2311yescharacteristic
427#14273650C2311yescharacteristic
428#14273650C2311yescharacteristic
429#14273649C2311yescharacteristic
430#14273649C2311yescharacteristic
431#14273648C2311yescharacteristic
432#14273648C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443#14273637C2311yescharacteristic
444C4×C59⋊C8C2311yescharacteristic
445C8×Dic59C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449C2×Q16×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×Q16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×D8×C59C2311yescharacteristic
457C4⋊Q8×C59C2311yescharacteristic
458C4⋊Q8×C59C2311yescharacteristic
459C4⋊Q8×C59C2311yescharacteristic
460#126×C59—21no—
461#124×C59—21no—
462#124×C59C2311yescharacteristic
463#124×C59C2311yescharacteristic
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466#123×C59—21no—
467#123×C59—21no—
468C22⋊Q8×C59—21no—
469C22⋊Q8×C59—21no—
470C22⋊Q8×C59—21no—
471C22⋊Q8×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic
473C4×Q8×C59C2311yescharacteristic
474C4×D4×C59C2311yescharacteristic
475#117×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477C4⋊C8×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488#97×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59C2×D411yescharacteristic
493#41×C59—41no—
494#41×C59—41no—
495C2×Q8×C59—21no—
496C2×Q8×C59—21no—
497C2×Q8×C59—41no—
498C2×Q8×C59—41no—
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×Q8×C59C2411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59C2411yescharacteristic
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59C2×D411yescharacteristic
521#11745689—41no—
522#11745689—41no—
523Q8×D59—22no—
524Q8×D59—22no—
525Q8×D59—22no—
526Q8×D59—22no—
527Q8×D59—22no—
528Q8×D59—22no—
529Q8×D59—22no—
530Q8×D59—22no—
531Q8×D59—41no—
532Q8×D59—41no—
533Q8×D59—41no—
534Q8×D59—41no—
535Q8×D59—44no—
536Q8×D59—44no—
537Q8×D59—82no—
538#11745687—41no—
539#11745687—41no—
540#11745687—44no—
541D4×D59—22no—
542D4×D59—22no—
543D4×D59—22no—
544D4×D59—22no—
545D4×D59—44no—
546D4×D59—82no—
547#11745685—41no—
548#11745685—41no—
549#11745685—44no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×C4×D59—22no—
555C2×C4×D59—22no—
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×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—44no—
569C2×C4×D59—44no—
570C2×C4×D59—82no—
571C2×C4×D59C2×D411yescharacteristic
572C2×C4×D59C2×D411yescharacteristic
573C2×C4×D59C2×D411yescharacteristic
574C2×C4×D59C2×D411yescharacteristic
575C2×C4×D59C2×D411yescharacteristic
576C2×C4×D59C2×D411yescharacteristic
577C2×C4×D59C2411yescharacteristic
578C2×C4×D59C2411yescharacteristic
579C2×Dic118—21no—
580C2×Dic118—21no—
581C2×Dic118—21no—
582C2×Dic118—21no—
583C2×Dic118—21no—
584C2×Dic118—21no—
585C2×Dic118—21no—
586C2×Dic118—21no—
587C2×Dic118—21no—
588C2×Dic118—21no—
589C2×Dic118—41no—
590C2×Dic118—41no—
591C2×Dic118—44no—
592C2×Dic118C2411yescharacteristic
593C2×Dic118C2411yescharacteristic
594C2×Dic118C2411yescharacteristic
595C2×Dic118C2411yescharacteristic
596Q16×C59—41no—
597Q16×C59—41no—
598Q16×C59—41no—
599SD16×C59—41no—
600SD16×C59—41no—
601SD16×C59—41no—
602SD16×C59—41no—
603D8×C59—41no—
604C2×C8×C59C2411yescharacteristic
605C2×C8×C59C2411yescharacteristic
606C2×C8×C59C2411yescharacteristic
607C2×C8×C59C2411yescharacteristic
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59—21no—
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
615C4⋊C4×C59C2×D411yescharacteristic
616C4⋊C4×C59C2×D411yescharacteristic
617C4⋊C4×C59C2411yescharacteristic
618C4⋊C4×C59C2411yescharacteristic
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59C2×D411yescharacteristic
629C22⋊C4×C59C2×D411yescharacteristic
630C42×C59—21no—
631C42×C59C2411yescharacteristic
632C42×C59C2411yescharacteristic
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59C2×D411yescharacteristic
643C22⋊Dic59C2×D411yescharacteristic
644#11745672—41no—
645#11745672—41no—
646#11745672—41no—
647#11745672—41no—
648#11745672—41no—
649#11745672—41no—
650#11745671—41no—
651#11745671—41no—
652#11745671—41no—
653#11745671—41no—
654#11745670—41no—
655#11745670—41no—
656#11745670—41no—
657#11745670—41no—
658#11745669—41no—
659#11745669—41no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4C2×D411yescharacteristic
679(C2×D59)⋊C4C2×D411yescharacteristic
680(C2×D59)⋊C4C2×D411yescharacteristic
681(C2×D59)⋊C4C2×D411yescharacteristic
682C4⋊Dic59—21no—
683C4⋊Dic59—21no—
684C4⋊Dic59—21no—
685C4⋊Dic59—21no—
686C4⋊Dic59—21no—
687C4⋊Dic59—21no—
688C4⋊Dic59—21no—
689C4⋊Dic59C2×D411yescharacteristic
690C4⋊Dic59C2×D411yescharacteristic
691C4⋊Dic59C2411yescharacteristic
692C4⋊Dic59C2411yescharacteristic
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4—21no—
698Dic59⋊C4—21no—
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4C2×D411yescharacteristic
710Dic59⋊C4C2×D411yescharacteristic
711Dic59⋊C4C2×D411yescharacteristic
712Dic59⋊C4C2×D411yescharacteristic
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59C2×D411yescharacteristic
717C4×Dic59C2×D411yescharacteristic
718C4×Dic59C2×D411yescharacteristic
719C4×Dic59C2×D411yescharacteristic
720C4×Dic59C2411yescharacteristic
721C4×Dic59C2411yescharacteristic
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726Dic236—41no—
727Dic236—41no—
728Dic236—41no—
729D472—41no—
730#11745660—41no—
731#11745660—41no—
732#11745660—41no—
733#11745660—41no—
734C8×D59—22no—
735C8×D59—22no—
736C8×D59—22no—
737C8×D59—22no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59C22×D411yescharacteristic
741C22×D59—22no—
742C22×D59—22no—
743C22×D59—22no—
744C22×D59—21no—
745C22×D59—21no—
746C22×D59—42no—
747C22×D59—42no—
748C22×D59—42no—
749C22×D59—42no—
750C22×D59—42no—
751C22×D59—42no—
752C22×D59C22×D411yescharacteristic
753C22×D59C22×D411yescharacteristic
754Q8×C59—21no—
755Q8×C59—21no—
756Q8×C59—21no—
757Q8×C59—21no—
758Q8×C59—21no—
759Q8×C59—21no—
760Q8×C59—21no—
761Q8×C59—21no—
762Q8×C59—42no—
763Q8×C59—81no—
764D4×C59—21no—
765D4×C59—21no—
766D4×C59—21no—
767D4×C59—21no—
768D4×C59—42no—
769D4×C59—81no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—42no—
779C2×C4×C59—42no—
780C2×C4×C59—81no—
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C22×D411yescharacteristic
783C2×C4×C59C22×D411yescharacteristic
784C2×C4×C59C22×D411yescharacteristic
785C2×C4×C59C22×D411yescharacteristic
786C2×C4×C59C2511yescharacteristic
787C22⋊D59—42no—
788C22⋊D59—42no—
789C22⋊D59—42no—
790C22⋊D59—42no—
791C22⋊D59—81no—
792C22⋊D59—81no—
793C2×Dic59—22no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—42no—
801C2×Dic59—42no—
802C2×Dic59—81no—
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808C2×Dic59C22×D411yescharacteristic
809D236—21no—
810D236—21no—
811D236—21no—
812D236—21no—
813D236—42no—
814D236—81no—
815C4×D59—22no—
816C4×D59—22no—
817C4×D59—22no—
818C4×D59—22no—
819C4×D59—22no—
820C4×D59—21no—
821C4×D59—21no—
822C4×D59—22no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—42no—
829C4×D59—42no—
830C4×D59—42no—
831C4×D59—42no—
832C4×D59—42no—
833C4×D59—81no—
834C4×D59—81no—
835C4×D59H(5,𝔽2)12yes—
836C4×D59H(5,𝔽2)12yes—
837Dic118—21no—
838Dic118—21no—
839Dic118—21no—
840Dic118—21no—
841Dic118—21no—
842Dic118—21no—
843Dic118—21no—
844Dic118—21no—
845Dic118—42no—
846Dic118—42no—
847Dic118—42no—
848Dic118—42no—
849Dic118—42no—
850Dic118—42no—
851Dic118—42no—
852Dic118—81no—
853Dic118—81no—
854Dic118—81no—
855C8×C59—21no—
856C8×C59—21no—
857C8×C59—21no—
858C8×C59—21no—
859C59⋊C8—21no—
860C59⋊C8—21no—
861C59⋊C8—21no—
862C59⋊C8—21no—
863C2×#3225—591nomaximal, Sylow
864C22×C59—21no—
865C22×C59—21no—
866C22×C59—21no—
867C22×C59—41no—
868C22×C59—41no—
869C22×C59—41no—
870C22×C59—41no—
871C22×C59—41no—
872C22×C59—41no—
873C22×C59C23×D411yescharacteristic
874C2×D59—21no—
875C2×D59—21no—
876C2×D59—21no—
877C2×D59—44no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—41no—
883C2×D59—41no—
884C2×D59—84no—
885C2×D59—84no—
886C2×D59#53512yes—
887C2×D59#57712yes—
888C2×D59#57812yes—
889C4×C59—21no—
890C4×C59—21no—
891C4×C59—21no—
892C4×C59—21no—
893C4×C59—21no—
894C4×C59—41no—
895C4×C59—41no—
896C4×C59—41no—
897C4×C59—41no—
898C4×C59—41no—
899C4×C59—41no—
900C4×C59C2×H(5,𝔽2)11yescharacteristic
901C4×C59C2×H(5,𝔽2)11yescharacteristic
902Dic59—21no—
903Dic59—21no—
904Dic59—21no—
905Dic59—21no—
906Dic59—21no—
907Dic59—41no—
908Dic59—41no—
909Dic59—41no—
910Dic59—41no—
911Dic59—41no—
912Dic59—41no—
913Dic59#53512yes—
914C2×#542—591no—
915C2×#536—591no—
916#3225—591no—
917#3225—591no—
918#3225—591no—
919#3225—591no—
920#3225—591no—
921#3225—591no—
922#3225—591no—
923#3225—591no—
924#3225—591no—
925#3225—591no—
926#3225—591no—
927#3225—591no—
928#3225—591no—
929#3225—591no—
930#3225—591no—
931#3225D5911yescharacteristic, direct product factor
932C2×#497—591no—
933C2×#495—591no—
934C2×#489—591no—
935C2×#487—591no—
936C2×#464—591no—
937C2×#462—591no—
938C2×#463—591no—
939C2×#461—591no—
940C2×#452—591no—
941C2×#449—591no—
942C2×#451—591no—
943C2×#448—591no—
944C2×#433—591no—
945C2×C59—41no—
946C2×C59—81no—
947C2×C59—81no—
948C2×C59C2×#53511yescharacteristic
949C2×C59C2×#57711yescharacteristic
950C2×C59C2×#57811yescharacteristic
951D59—41no—
952D59—81no—
953D59—81no—
954D59#322514yesdirect product factor
955C22×#41—591no—
956C23×Q8—591no—
957C22×Q16—591no—
958C22×Q16—591no—
959C22×Q16—591no—
960C22×SD16—591no—
961C22×SD16—591no—
962C22×SD16—591no—
963C22×SD16—591no—
964C22×D8—591no—
965#542—591no—
966#542—591no—
967#542—591no—
968#542—591no—
969#542—591no—
970#542—591no—
971#542—591no—
972#542—1181no—
973#542—1181no—
974#542—1181no—
975#542—1181no—
976#542C2×D5911yescharacteristic, complemented
977#536—591no—
978#536—591no—
979#536—591no—
980#536—591no—
981#536—591no—
982#536—591no—
983#536—591no—
984#536—1181no—
985#536—1181no—
986#536—1181no—
987#536—1181no—
988#536C2×D5911yescharacteristic, complemented
989C2×C4⋊Q8—591no—
990C2×C4⋊Q8—591no—
991C2×C4⋊Q8—591no—
992C2×#126—1181no—
993C2×#124—591no—
994C2×#124—591no—
995C2×#124—591no—
996C2×#124—1181no—
997C2×#123—1181no—
998C2×#123—1181no—
999C2×#123—1181no—
1000C2×C22⋊Q8—591no—
1001C2×C22⋊Q8—1181no—
1002C2×C22⋊Q8—1181no—
1003C2×C22⋊Q8—1181no—
1004C2×#121—591no—
1005C2×C4×Q8—591no—
1006C2×C4×D4—591no—
1007C2×#117—591no—
1008#497—591no—
1009#497—591no—
1010#497—591no—
1011#497—591no—
1012#497—591no—
1013#497—591no—
1014#497—591no—
1015#497C2×D5911yescharacteristic, complemented
1016#495—591no—
1017#495—591no—
1018#495—591no—
1019#495—591no—
1020#495—591no—
1021#495—591no—
1022#495—591no—
1023#495C2×D5911yescharacteristic, complemented
1024#489—591no—
1025#489—591no—
1026#489—591no—
1027#489—591no—
1028#489—591no—
1029#489—591no—
1030#489—591no—
1031#489C2×D5911yescharacteristic, complemented
1032#487—591no—
1033#487—591no—
1034#487—591no—
1035#487—591no—
1036#487—591no—
1037#487—591no—
1038#487—591no—
1039#487C2×D5911yescharacteristic, complemented
1040#464—591no—
1041#464—591no—
1042#464—591no—
1043#464—591no—
1044#464—591no—
1045#464—591no—
1046#464—591no—
1047#464C2×D5911yescharacteristic, complemented
1048#463—591no—
1049#463—591no—
1050#463—591no—
1051#463—591no—
1052#463—591no—
1053#463—591no—
1054#463—591no—
1055#463C2×D5911yescharacteristic, complemented
1056#462—591no—
1057#462—591no—
1058#462—591no—
1059#462—591no—
1060#462—591no—
1061#462—591no—
1062#462—591no—
1063#462C2×D5911yescharacteristic, complemented
1064#461—591no—
1065#461—591no—
1066#461—591no—
1067#461—591no—
1068#461—591no—
1069#461—591no—
1070#461—591no—
1071#461C2×D5911yescharacteristic, complemented
1072#452—591no—
1073#452—591no—
1074#452—591no—
1075#452—591no—
1076#452—591no—
1077#452—591no—
1078#452—591no—
1079#452C2×D5911yescharacteristic, complemented
1080#451—591no—
1081#451—591no—
1082#451—591no—
1083#451—591no—
1084#451—591no—
1085#451—591no—
1086#451—591no—
1087#451C2×D5911yescharacteristic, complemented
1088#449—591no—
1089#449—591no—
1090#449—591no—
1091#449—591no—
1092#449—591no—
1093#449—591no—
1094#449—591no—
1095#449C2×D5911yescharacteristic
1096#448—591no—
1097#448—591no—
1098#448—591no—
1099#448—591no—
1100#448—591no—
1101#448—591no—
1102#448—591no—
1103#448C2×D5911yescharacteristic, complemented
1104#433—591no—
1105#433—591no—
1106#433—591no—
1107#433—591no—
1108#433—591no—
1109#433—591no—
1110#433—591no—
1111#433C2×D5911yescharacteristic, complemented
1112C2×C4⋊C8—591no—
1113C2×C4⋊C8—591no—
1114C2×#103—591no—
1115C2×#103—591no—
1116C2×#103—591no—
1117C2×#103—591no—
1118C2×#103—591no—
1119C2×#103—591no—
1120C2×#102—591no—
1121C2×#102—591no—
1122C2×C22⋊C8—591no—
1123C2×C22⋊C8—591no—
1124C2×#97—591no—
1125C2×C4×C8—591no—
1126C59C2×#322511yescharacteristic, complemented, Sylow
1127C2×#41—591no—
1128C2×#41—591no—
1129C2×#41—591no—
1130C2×#41—1181no—
1131C2×#41—1181no—
1132C2×#41—2362no—
1133C2×#41—2362no—
1134C2×#41C22×D5911yescharacteristic
1135C22×Q8—591no—
1136C22×Q8—591no—
1137C22×Q8—591no—
1138C22×Q8—591no—
1139C22×Q8—591no—
1140C22×Q8—591no—
1141C22×Q8—591no—
1142C22×Q8—1181no—
1143C22×Q8—1181no—
1144C22×Q8—1181no—
1145C22×Q8—1181no—
1146C22×Q8—2362no—
1147C22×Q8—2362no—
1148C22×Q8C22×D5911yescharacteristic
1149C22×D4—591no—
1150C22×D4—591no—
1151C22×D4—1181no—
1152C22×D4—1181no—
1153C23×C4—591no—
1154C23×C4—1181no—
1155C23×C4—1181no—
1156C23×C4—1181no—
1157C2×Q16—591no—
1158C2×Q16—591no—
1159C2×Q16—591no—
1160C2×Q16—591no—
1161C2×Q16—591no—
1162C2×Q16—591no—
1163C2×Q16—591no—
1164C2×Q16—591no—
1165C2×Q16—591no—
1166C2×Q16—2362no—
1167C2×Q16—2362no—
1168C2×Q16—2362no—
1169C2×Q16C22×D5911yescharacteristic
1170C2×Q16C22×D5911yescharacteristic
1171C2×Q16C22×D5911yescharacteristic
1172C2×SD16—591no—
1173C2×SD16—591no—
1174C2×SD16—591no—
1175C2×SD16—591no—
1176C2×SD16—591no—
1177C2×SD16—591no—
1178C2×SD16—591no—
1179C2×SD16—591no—
1180C2×SD16—591no—
1181C2×SD16—591no—
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16—2362no—
1185C2×SD16—2362no—
1186C2×SD16—2362no—
1187C2×SD16—2362no—
1188C2×SD16C22×D5911yescharacteristic
1189C2×SD16C22×D5911yescharacteristic
1190C2×SD16C22×D5911yescharacteristic
1191C2×SD16C22×D5911yescharacteristic
1192C2×D8—591no—
1193C2×D8—591no—
1194C2×D8—591no—
1195C2×D8—2362no—
1196C2×D8C22×D5911yescharacteristic
1197C22×C8—591no—
1198C22×C8—591no—
1199C22×C8—591no—
1200C22×C8—591no—
1201C4⋊Q8—591no—
1202C4⋊Q8—591no—
1203C4⋊Q8—591no—
1204C4⋊Q8—591no—
1205C4⋊Q8—591no—
1206C4⋊Q8—591no—
1207C4⋊Q8—591no—
1208C4⋊Q8—591no—
1209C4⋊Q8—591no—
1210C4⋊Q8—1181no—
1211C4⋊Q8—1181no—
1212C4⋊Q8—1181no—
1213C4⋊Q8—1181no—
1214C4⋊Q8—1181no—
1215C4⋊Q8—1181no—
1216C4⋊Q8C22×D5911yescharacteristic
1217C4⋊Q8C22×D5911yescharacteristic
1218C4⋊Q8C22×D5911yescharacteristic
1219#126—21no—
1220#126—1181no—
1221#126—1181no—
1222#126—1181no—
1223#126—1181no—
1224#126—1181no—
1225#126—1181no—
1226#126—1181no—
1227#124—21no—
1228#124—591no—
1229#124—591no—
1230#124—591no—
1231#124—591no—
1232#124—591no—
1233#124—591no—
1234#124—591no—
1235#124—591no—
1236#124—591no—
1237#124—1181no—
1238#124—1181no—
1239#124—1181no—
1240#124—1181no—
1241#124—1181no—
1242#124—1181no—
1243#124—1181no—
1244#124—1181no—
1245#124—1181no—
1246#124—1181no—
1247#124—1181no—
1248#124—1181no—
1249#124—1181no—
1250#124C22×D5911yescharacteristic
1251#124C22×D5911yescharacteristic
1252#124C22×D5911yescharacteristic
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277C22⋊Q8—21no—
1278C22⋊Q8—21no—
1279C22⋊Q8—21no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—1181no—
1284C22⋊Q8—1181no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8—1181no—
1300C22⋊Q8—1181no—
1301C22⋊Q8—1181no—
1302C22⋊Q8—1181no—
1303C22⋊Q8—1181no—
1304C22⋊Q8—1181no—
1305C22⋊Q8—1181no—
1306C22⋊Q8C22×D5911yescharacteristic
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—1181no—
1311#121—1181no—
1312#121C22×D5911yescharacteristic
1313C4×Q8—591no—
1314C4×Q8—591no—
1315C4×Q8—591no—
1316C4×Q8—1181no—
1317C4×Q8—1181no—
1318C4×Q8C22×D5911yescharacteristic
1319C4×D4—591no—
1320C4×D4—591no—
1321C4×D4—591no—
1322C4×D4—1181no—
1323C4×D4—1181no—
1324C4×D4C22×D5911yescharacteristic
1325#117—591no—
1326#117—591no—
1327#117—591no—
1328#117—591no—
1329#117—591no—
1330#117—591no—
1331#117—591no—
1332#117C22×D5911yescharacteristic
1333C2×C4⋊C4—591no—
1334C2×C4⋊C4—591no—
1335C2×C4⋊C4—591no—
1336C2×C4⋊C4—591no—
1337C2×C4⋊C4—1181no—
1338C2×C4⋊C4—1181no—
1339C2×C4⋊C4—1181no—
1340C2×C4⋊C4—1181no—
1341C2×C4⋊C4—1181no—
1342C2×C4⋊C4—1181no—
1343C2×C4⋊C4—1181no—
1344C2×C22⋊C4—591no—
1345C2×C22⋊C4—591no—
1346C2×C22⋊C4—1181no—
1347C2×C22⋊C4—1181no—
1348C2×C22⋊C4—1181no—
1349C2×C22⋊C4—1181no—
1350C2×C22⋊C4—1181no—
1351C2×C22⋊C4—1181no—
1352C2×C22⋊C4—1181no—
1353C2×C22⋊C4—1181no—
1354C2×C22⋊C4—1181no—
1355C2×C42—591no—
1356C2×C42—591no—
1357C2×C42—1181no—
1358C4⋊C8—591no—
1359C4⋊C8—591no—
1360C4⋊C8—591no—
1361C4⋊C8—591no—
1362C4⋊C8—591no—
1363C4⋊C8—591no—
1364C4⋊C8C22×D5911yescharacteristic
1365C4⋊C8C22×D5911yescharacteristic
1366#103—591no—
1367#103—591no—
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103—591no—
1373#103—591no—
1374#103—591no—
1375#103—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103—591no—
1381#103—591no—
1382#103—591no—
1383#103—591no—
1384#103C22×D5911yescharacteristic
1385#103C22×D5911yescharacteristic
1386#103C22×D5911yescharacteristic
1387#103C22×D5911yescharacteristic
1388#103C22×D5911yescharacteristic
1389#103C22×D5911yescharacteristic
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102C22×D5911yescharacteristic
1397#102C22×D5911yescharacteristic
1398C22⋊C8—591no—
1399C22⋊C8—591no—
1400C22⋊C8—591no—
1401C22⋊C8—591no—
1402C22⋊C8—591no—
1403C22⋊C8—591no—
1404C22⋊C8C22×D5911yescharacteristic
1405C22⋊C8C22×D5911yescharacteristic
1406#97—591no—
1407#97—591no—
1408#97—591no—
1409#97C22×D5911yescharacteristic
1410C4×C8—591no—
1411C4×C8—591no—
1412C4×C8—591no—
1413C4×C8C22×D5911yescharacteristic
1414C24—591no—
1415C24—1181no—
1416C24—1181no—
1417#41—41no—
1418#41—41no—
1419#41—2361no—
1420#41—2361no—
1421#41—2364no—
1422#41—2361no—
1423#41—2361no—
1424#41—2364no—
1425#41—2361no—
1426#41—2361no—
1427C2×Q8—21no—
1428C2×Q8—21no—
1429C2×Q8—41no—
1430C2×Q8—41no—
1431C2×Q8—591no—
1432C2×Q8—591no—
1433C2×Q8—591no—
1434C2×Q8—591no—
1435C2×Q8—1181no—
1436C2×Q8—1181no—
1437C2×Q8—1181no—
1438C2×Q8—1181no—
1439C2×Q8—1181no—
1440C2×Q8—1181no—
1441C2×Q8—1181no—
1442C2×Q8—1181no—
1443C2×Q8—1182no—
1444C2×Q8—1182no—
1445C2×Q8—1182no—
1446C2×Q8—1182no—
1447C2×Q8—1182no—
1448C2×Q8—1182no—
1449C2×Q8—1182no—
1450C2×Q8—1182no—
1451C2×Q8—1181no—
1452C2×Q8—1181no—
1453C2×Q8—4722no—
1454C2×Q8—2361no—
1455C2×Q8—2361no—
1456C2×Q8—2364no—
1457C2×Q8—2361no—
1458C2×Q8—2361no—
1459C2×Q8—2361no—
1460C2×Q8—2361no—
1461C2×Q8—2364no—
1462C2×Q8—2364no—
1463C2×Q8C23×D5911yescharacteristic
1464C2×Q8C23×D5911yescharacteristic
1465C2×Q8C23×D5911yescharacteristic
1466C2×Q8C23×D5911yescharacteristic
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—591no—
1470C2×D4—591no—
1471C2×D4—1181no—
1472C2×D4—1181no—
1473C2×D4—1182no—
1474C2×D4—1182no—
1475C2×D4—1182no—
1476C2×D4—1182no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4—1181no—
1481C2×D4—1181no—
1482C2×D4—1181no—
1483C2×D4—4722no—
1484C2×D4—2364no—
1485C2×D4C23×D5911yescharacteristic
1486C2×D4C23×D5911yescharacteristic
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—591no—
1491C22×C4—591no—
1492C22×C4—591no—
1493C22×C4—591no—
1494C22×C4—591no—
1495C22×C4—591no—
1496C22×C4—591no—
1497C22×C4—591no—
1498C22×C4—591no—
1499C22×C4—1182no—
1500C22×C4—1182no—
1501C22×C4—1181no—
1502C22×C4—1181no—
1503C22×C4—1181no—
1504C22×C4—1181no—
1505C22×C4—1181no—
1506C22×C4—1181no—
1507C22×C4—1181no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—1181no—
1514C22×C4—1181no—
1515C22×C4—1181no—
1516C22×C4—4722no—
1517C22×C4—2364no—
1518C22×C4—2364no—
1519C22×C4C23×D5911yescharacteristic
1520Q16—41no—
1521Q16—41no—
1522Q16—41no—
1523Q16—2361no—
1524Q16—2361no—
1525Q16—2361no—
1526Q16—2361no—
1527Q16—2361no—
1528Q16—2361no—
1529Q16—2361no—
1530Q16—2361no—
1531Q16—2361no—
1532SD16—41no—
1533SD16—41no—
1534SD16—41no—
1535SD16—41no—
1536SD16—2361no—
1537SD16—2361no—
1538SD16—2361no—
1539SD16—2361no—
1540SD16—2361no—
1541SD16—2361no—
1542SD16—2361no—
1543SD16—2361no—
1544SD16—2361no—
1545SD16—2361no—
1546SD16—2361no—
1547SD16—2361no—
1548D8—41no—
1549D8—2361no—
1550D8—2361no—
1551D8—2361no—
1552C2×C8—591no—
1553C2×C8—591no—
1554C2×C8—591no—
1555C2×C8—591no—
1556C2×C8—1182no—
1557C2×C8—1182no—
1558C2×C8—1182no—
1559C2×C8—1182no—
1560C2×C8C23×D5911yescharacteristic
1561C2×C8C23×D5911yescharacteristic
1562C2×C8C23×D5911yescharacteristic
1563C2×C8C23×D5911yescharacteristic
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—591no—
1572C4⋊C4—591no—
1573C4⋊C4—591no—
1574C4⋊C4—591no—
1575C4⋊C4—591no—
1576C4⋊C4—591no—
1577C4⋊C4—591no—
1578C4⋊C4—591no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4—1181no—
1582C4⋊C4—1181no—
1583C4⋊C4—1181no—
1584C4⋊C4—1181no—
1585C4⋊C4—1181no—
1586C4⋊C4—1181no—
1587C4⋊C4—1181no—
1588C4⋊C4—1181no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4—1181no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4—1181no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4D4×D5911yescharacteristic
1603C4⋊C4D4×D5911yescharacteristic
1604C4⋊C4C23×D5911yescharacteristic
1605C4⋊C4C23×D5911yescharacteristic
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—591no—
1616C22⋊C4—591no—
1617C22⋊C4—591no—
1618C22⋊C4—591no—
1619C22⋊C4—591no—
1620C22⋊C4—591no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4D4×D5911yescharacteristic
1649C22⋊C4D4×D5911yescharacteristic
1650C42—21no—
1651C42—591no—
1652C42—591no—
1653C42—591no—
1654C42—591no—
1655C42—591no—
1656C42—591no—
1657C42—1181no—
1658C42—1181no—
1659C42—1181no—
1660C42C23×D5911yescharacteristic
1661C42C23×D5911yescharacteristic
1662C23—21no—
1663C23—21no—
1664C23—591no—
1665C23—591no—
1666C23—1182no—
1667C23—1182no—
1668C23—1182no—
1669C23—1181no—
1670C23—1181no—
1671C23—2362no—
1672C23—2362no—
1673C23—2362no—
1674C23—2362no—
1675C23—2362no—
1676C23—2362no—
1677C23C2×D4×D5911yescharacteristic
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—42no—
1687Q8—81no—
1688Q8—1181no—
1689Q8—1181no—
1690Q8—1181no—
1691Q8—1181no—
1692Q8—1181no—
1693Q8—1181no—
1694Q8—1181no—
1695Q8—1181no—
1696Q8—4721no—
1697Q8—4721no—
1698Q8—4721no—
1699Q8—2362no—
1700Q8—2362no—
1701Q8—2362no—
1702Q8—2362no—
1703Q8—2362no—
1704Q8—2362no—
1705Q8—2362no—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—42no—
1711D4—81no—
1712D4—1181no—
1713D4—1181no—
1714D4—1181no—
1715D4—1181no—
1716D4—4721no—
1717D4—4721no—
1718D4—4721no—
1719D4—2362no—
1720D4—2362no—
1721D4—2362no—
1722D4—2362no—
1723D4—2362no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—42no—
1733C2×C4—42no—
1734C2×C4—81no—
1735C2×C4—591no—
1736C2×C4—592no—
1737C2×C4—592no—
1738C2×C4—591no—
1739C2×C4—591no—
1740C2×C4—591no—
1741C2×C4—591no—
1742C2×C4—591no—
1743C2×C4—1182no—
1744C2×C4—1182no—
1745C2×C4—1182no—
1746C2×C4—1182no—
1747C2×C4—1182no—
1748C2×C4—1182no—
1749C2×C4—1182no—
1750C2×C4—1181no—
1751C2×C4—1181no—
1752C2×C4—1181no—
1753C2×C4—1181no—
1754C2×C4—1181no—
1755C2×C4—1181no—
1756C2×C4—1181no—
1757C2×C4—1181no—
1758C2×C4—4721no—
1759C2×C4—4721no—
1760C2×C4—4721no—
1761C2×C4—2362no—
1762C2×C4—2362no—
1763C2×C4—2362no—
1764C2×C4—2362no—
1765C2×C4—2362no—
1766C2×C4—2362no—
1767C2×C4—2362no—
1768C2×C4—2362no—
1769C2×C4—2362no—
1770C2×C4—2362no—
1771C2×C4—2362no—
1772C2×C4—2362no—
1773C2×C4C2×D4×D5911yescharacteristic
1774C2×C4C2×D4×D5911yescharacteristic
1775C2×C4C2×D4×D5911yescharacteristic
1776C2×C4C2×D4×D5911yescharacteristic
1777C2×C4C2×D4×D5911yescharacteristic
1778C2×C4C24×D5911yescharacteristic
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—21no—
1783C8—1181no—
1784C8—1181no—
1785C8—1181no—
1786C8—1181no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—592no—
1797C22—592no—
1798C22—592no—
1799C22—1181no—
1800C22—1181no—
1801C22—1181no—
1802C22—4724no—
1803C22—4724no—
1804C22—2364no—
1805C22—2361no—
1806C22—2361no—
1807C22—2361no—
1808C22—2361no—
1809C22—2361no—
1810C22—2361no—
1811C22C22×D4×D5911yescharacteristic
1812C4—21no—
1813C4—21no—
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—41no—
1818C4—41no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—592no—
1824C4—1181no—
1825C4—1181no—
1826C4—1181no—
1827C4—1181no—
1828C4—1181no—
1829C4—2361no—
1830C4—2361no—
1831C4—2361no—
1832C4—2361no—
1833C4—2361no—
1834C4—2361no—
1835C4H(5,𝔽2)×D5911yescharacteristic
1836C4H(5,𝔽2)×D5911yescharacteristic
1837C2—41no—
1838C2—81no—
1839C2—81no—
1840C2—594no—
1841C2—4721no—
1842C2—4721no—
1843C2—2361no—
1844C2#535×D5911yescharacteristic
1845C2#577×D5911yescharacteristic
1846C2#578×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3225C2
socleC22×C59C23×D4
prime radical#449×D59C2
hypercenter#3225D59
hypocenterC59C2×#3225
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. #542×D59C2semidirect
2. #536×D59C2semidirect
3. #21435212C2semidirect
4. #21435211C2semidirect
5. #21435210C2semidirect
6. #21435209C2semidirect
7. #21435208C2semidirect
8. #21435207C2semidirect
9. #21435206C2semidirect
10. #21435205C2semidirect
11. #21435204C2semidirect
12. #21435203C2semidirect
13. #21435202C2semidirect
14. #21435201C2semidirect
15. #21435200C2semidirect
16. #21435199C2semidirect
17. #21435198C2semidirect
18. #497×D59C2semidirect
19. #495×D59C2semidirect
20. #489×D59C2semidirect
21. #487×D59C2semidirect
22. #464×D59C2semidirect
23. #462×D59C2semidirect
24. #463×D59C2semidirect
25. #461×D59C2semidirect
26. #452×D59C2semidirect
28. #451×D59C2semidirect
29. #448×D59C2semidirect
30. #433×D59C2semidirect
31. C59×#3225C2semidirect
42. #16838026C22semidirect
43. #16838025C22semidirect
44. #16838024C22semidirect
45. #16838023C22semidirect
47. #16838021C22semidirect
49. #16838019C22semidirect
51. #16838017C22semidirect
53. #16837978C22semidirect
54. #16837977C22semidirect
55. #16837977C22semidirect
56. #16837976C22semidirect
61. #16837973C22semidirect
62. #16837972C22semidirect
63. #16837972C22semidirect
83. #16837797C22semidirect
84. #16837796C22semidirect
85. #16837795C22semidirect
86. #16837795C22semidirect
87. #16837794C22semidirect
88. #16837793C22semidirect
89. #16837793C22semidirect
90. #16837787C22semidirect
91. #16837786C22semidirect
92. #16837785C22semidirect
93. #16837784C22semidirect
94. #16837784C22semidirect
95. #16837783C22semidirect
96. #16837783C22semidirect
97. #16837764C22semidirect
98. #16837763C22semidirect
99. #16837763C22semidirect
100. #16837762C22semidirect
101. #16837761C22semidirect
102. #16837760C22semidirect
103. #16837760C22semidirect
104. #16837754C22semidirect
105. #16837753C22semidirect
106. #16837752C22semidirect
107. #16837751C22semidirect
108. #16837751C22semidirect
109. #16837751C22semidirect
110. #16837751C22semidirect
111. #16837627C22semidirect
112. #16837626C22semidirect
113. #16837625C22semidirect
114. #16837624C22semidirect
115. #16837623C22semidirect
116. #16837622C22semidirect
117. #16837621C22semidirect
118. #16837620C22semidirect
119. #16837619C22semidirect
120. #16837618C22semidirect
121. #16837617C22semidirect
122. #16837616C22semidirect
123. #16837615C22semidirect
124. #16837614C22semidirect
125. #16837613C22semidirect
126. #16837612C22semidirect
127. #16837611C22semidirect
128. #16837611C22semidirect
129. #16837610C22semidirect
130. #16837610C22semidirect
131. #16837609C22semidirect
132. #16837608C22semidirect
133. #16837607C22semidirect
134. #16837606C22semidirect
135. #16837606C22semidirect
136. #16837605C22semidirect
137. #16837605C22semidirect
138. #16837604C22semidirect
139. #16837567C22semidirect
140. #16837566C22semidirect
141. #16837565C22semidirect
142. #16837564C22semidirect
143. #16837563C22semidirect
144. #16837562C22semidirect
145. #16837561C22semidirect
146. #16837560C22semidirect
147. #16837559C22semidirect
148. #16837559C22semidirect
149. #16837558C22semidirect
150. #16837557C22semidirect
151. #16837556C22semidirect
152. #16837556C22semidirect
160. #16837543C22semidirect
161. #16837542C22semidirect
162. #16837542C22semidirect
163. #16837541C22semidirect
164. #16837540C22semidirect
165. #16837539C22semidirect
166. #16837539C22semidirect
167. #16837464C22semidirect
168. #16837463C22semidirect
169. #16837462C22semidirect
170. #16837462C22semidirect
171. #16837461C22semidirect
172. #16837460C22semidirect
173. #16837460C22semidirect
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
931. #3225D59direct (N × H)
954. D59#3225direct (N × H)
976. #542C2×D59semidirect
988. #536C2×D59semidirect
1015. #497C2×D59semidirect
1023. #495C2×D59semidirect
1031. #489C2×D59semidirect
1039. #487C2×D59semidirect
1047. #464C2×D59semidirect
1055. #463C2×D59semidirect
1063. #462C2×D59semidirect
1071. #461C2×D59semidirect
1079. #452C2×D59semidirect
1087. #451C2×D59semidirect
1103. #448C2×D59semidirect
1111. #433C2×D59semidirect
1126. C59C2×#3225semidirect

Maximal subgroups

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

subgroupindex
#542×D592
#536×D592
#214352122
#214352112
#214352102
#214352092
#214352082
#214352072
#214352062
#214352052
#214352042
#214352032
#214352022
#214352012
#214352002
#214351992
#214351982
#497×D592
#495×D592
#489×D592
#487×D592
#464×D592
#462×D592
#463×D592
#461×D592
#452×D592
#449×D592
#451×D592
#448×D592
#433×D592
C59×#32252
C2×#322559