Finite Group Databasebeta

← #29475900

Subgroups — #29475900

Order 15104.

2150 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438483C211yesmaximal, characteristic, complemented
2#21437870C211yesmaximal, characteristic, complemented
3#21436427C211yesmaximal, characteristic, complemented
4#21436334C211yesmaximal, characteristic, complemented
5#21436218C211yesmaximal, characteristic, complemented
6#21436215C211yesmaximal, characteristic, complemented
7#21436121C211yesmaximal, characteristic, complemented
8#21436118C211yesmaximal, characteristic, complemented
9#21436042C211yesmaximal, characteristic, complemented
10#21435913C211yesmaximal, characteristic, complemented
11#21435819C211yesmaximal, characteristic, complemented
12SD16×C22⋊D59C211yesmaximal, characteristic, complemented
13#21435756C211yesmaximal, characteristic, complemented
14#21435694C211yesmaximal, characteristic, complemented
15#21435685C211yesmaximal, characteristic, complemented
16#21435675C211yesmaximal, characteristic, complemented
17#21435591C211yesmaximal, characteristic, complemented
18#21435589C211yesmaximal, characteristic, complemented
19#21435117C211yesmaximal, characteristic, complemented
20#21435035C211yesmaximal, characteristic, complemented
21#21434965C211yesmaximal, characteristic, complemented
22#21434963C211yesmaximal, characteristic, complemented
23#21434952C211yesmaximal, characteristic, complemented
24#21434950C211yesmaximal, characteristic, complemented
25#21434251C211yesmaximal, characteristic, complemented
26#21434115C211yesmaximal, characteristic, complemented
27#21433404C211yesmaximal, characteristic, complemented
28#21433400C211yesmaximal, characteristic, complemented
29#21433370C211yesmaximal, characteristic, complemented
30#21433169C211yesmaximal, characteristic, complemented
31C59×#3009C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#14273759C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic, complemented
36C2×#14273750C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38C2×SD16×D59C2211yescharacteristic, complemented
39#16838149—21no—
40#16838146—21no—
41#16838115C2211yescharacteristic, complemented
42#16838114—21no—
43#16838110C2211yescharacteristic, complemented
44#16838097—21no—
45#16838094C2211yescharacteristic, complemented
46#16838091C2211yescharacteristic, complemented
47#16838071C2211yescharacteristic
48#16838071C2211yescharacteristic
49#16838071C2211yescharacteristic
50#16838071C2211yescharacteristic
51Q8×C22⋊D59C2211yescharacteristic, complemented
52#16838063C2211yescharacteristic, complemented
53#16838062C2211yescharacteristic, complemented
54#16838054C2211yescharacteristic, complemented
55D4×C22⋊D59—21no—
56D4×C22⋊D59—21no—
57D4×C22⋊D59—21no—
58D4×C22⋊D59—21no—
59D4×C22⋊D59C2211yescharacteristic
60D4×C22⋊D59C2211yescharacteristic
61D4×C22⋊D59C2211yescharacteristic
62D4×C22⋊D59C2211yescharacteristic
63#16838029—21no—
64#16838026—21no—
65#16838020—21no—
66#16838004—21no—
67#16837982C2211yescharacteristic, complemented
68#16837980C2211yescharacteristic, complemented
69#16837975C2211yescharacteristic, complemented
70#16837969—21no—
71#16837969C2211yescharacteristic
72#16837966—21no—
73#16837966C2211yescharacteristic
74#16837954C2211yescharacteristic, complemented
75#16837948—21no—
76#16837948C2211yescharacteristic
77C2×#14273723—21no—
78C2×#14273723C2211yescharacteristic
79#16837938C2211yescharacteristic, complemented
80#41×Dic59C2211yescharacteristic
81#16837788C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837773C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837765C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837740C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837726C2211yescharacteristic, complemented
94#16837726C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic, complemented
97#16837721C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837707C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837695C2211yescharacteristic, complemented
104#16837690C2211yescharacteristic, complemented
105#16837655C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic, complemented
108#16837650C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837645C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837638C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837633C2211yescharacteristic, complemented
116#16837633C2211yescharacteristic, complemented
117#16837631C2211yescharacteristic, complemented
118#16837630C2211yescharacteristic, complemented
119#16837628C2211yescharacteristic, complemented
120#16837628C2211yescharacteristic, complemented
121#16837626C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837610C2211yescharacteristic, complemented
124#16837605C2211yescharacteristic, complemented
125#16837601C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837600C2211yescharacteristic, complemented
130#16837600C2211yescharacteristic, complemented
131#16837596C2211yescharacteristic, complemented
132#16837596C2211yescharacteristic, complemented
133#16837567C2211yescharacteristic, complemented
134#16837564C2211yescharacteristic
135#16837564C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic, complemented
137#16837563C2211yescharacteristic, complemented
138#16837555C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837553C2211yescharacteristic, complemented
141#16837553C2211yescharacteristic, complemented
142#16837552C2211yescharacteristic, complemented
143#16837552C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic, complemented
145#16837551C2211yescharacteristic, complemented
146#16837550C2211yescharacteristic, complemented
147#16837549C2211yescharacteristic, complemented
148#16837549C2211yescharacteristic, complemented
149#16837547C2211yescharacteristic
150#16837547C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic, complemented
152#16837546C2211yescharacteristic, complemented
153#16837541C2211yescharacteristic, complemented
154#16837541C2211yescharacteristic, complemented
155#16837539C2211yescharacteristic, complemented
156#16837539C2211yescharacteristic, complemented
157#16837538C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837536C2211yescharacteristic, complemented
160#16837536C2211yescharacteristic, complemented
161#16837509C2211yescharacteristic, complemented
162#16837506C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165Q16×Dic59C2211yescharacteristic, complemented
166SD16×Dic59C2211yescharacteristic, complemented
167#16837487C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837473C2211yescharacteristic, complemented
173#16837471C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175C8×C22⋊D59C2211yescharacteristic, complemented
176(C22⋊D59)⋊C8C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837403C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183C2×#14273648C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837369C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C59C2211yescharacteristic
189C2×#137×C59C2211yescharacteristic, complemented
190C22×SD16×C59C2211yescharacteristic, complemented
191C59×#536C2211yescharacteristic, complemented
192C59×#452C2211yescharacteristic
193C59×#452C2211yescharacteristic
194C59×#452C2211yescharacteristic, complemented
195C59×#452C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#418C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×Q8×D59C2311yescharacteristic
212C22×D236—21no—
213C22×D236C2311yescharacteristic
214C22×C22⋊D59—21no—
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C22×C22⋊D59—21no—
218C22×C22⋊D59—21no—
219C22×C22⋊D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59C2311yescharacteristic
223C2×D4×D59C2311yescharacteristic
224#14273759—42no—
225#14273754—42no—
226#14273753—42no—
227#14273750—42no—
228#14273747—42no—
229C2×#11745672C2311yescharacteristic
230C2×#11745660C2311yescharacteristic
231C2×#11745660C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238C2×#11745671C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240SD16×D59—42no—
241C2×D472C2311yescharacteristic
242C2×D472C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245C2×#11745669C2311yescharacteristic
246C2×#11745664C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C22×C59⋊C8C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252#14273726—21no—
253#14273726C2311yescharacteristic
254#14273725—21no—
255#14273725D411yescharacteristic
256#14273725C2311yescharacteristic
257#14273723—21no—
258#14273723—21no—
259#14273723—21no—
260#14273723—21no—
261#14273723—21no—
262#14273723—21no—
263#14273723—21no—
264#14273723—21no—
265#14273723D411yescharacteristic
266#14273723C2311yescharacteristic
267#14273723C2311yescharacteristic
268#14273723C2311yescharacteristic
269#14273723C2311yescharacteristic
270#14273722—21no—
271#14273722—21no—
272#14273720—21no—
273#14273719—21no—
274#14273718—21no—
275#14273718C2311yescharacteristic
276#14273717—21no—
277#14273717—21no—
278#14273716—21no—
279#14273716—21no—
280#14273716D411yescharacteristic
281#14273716C2311yescharacteristic
282#14273715—21no—
283#14273714—21no—
284#14273714D411yescharacteristic
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273712—21no—
289#14273712—21no—
290#14273711—21no—
291#14273711—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709—21no—
295#14273707—21no—
296#14273707C2311yescharacteristic
297#14273706—21no—
298#14273706C2311yescharacteristic
299#14273706C2311yescharacteristic
300#14273705—21no—
301#14273705—21no—
302#14273704—21no—
303#14273704—21no—
304#14273703—21no—
305#14273703—21no—
306#14273703—21no—
307#14273703C2311yescharacteristic
308#14273703C2311yescharacteristic
309#14273702—21no—
310#14273702C2311yescharacteristic
311#14273701—21no—
312#14273701—21no—
313#14273701—21no—
314#14273701—21no—
315#14273701—21no—
316#14273701C2311yescharacteristic
317#14273701C2311yescharacteristic
318#14273701C2311yescharacteristic
319#14273701C2311yescharacteristic
320#14273701C2311yescharacteristic
321#14273701C2311yescharacteristic
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699—21no—
333#14273699D411yescharacteristic
334#14273699D411yescharacteristic
335#14273699D411yescharacteristic
336#14273699D411yescharacteristic
337#14273698—21no—
338#14273698—21no—
339#14273698—21no—
340#14273698—21no—
341#14273698—21no—
342#14273698C2311yescharacteristic
343#14273698C2311yescharacteristic
344#14273698C2311yescharacteristic
345#14273698C2311yescharacteristic
346#14273696—21no—
347#14273696—21no—
348#14273696—21no—
349#14273696—21no—
350#14273696—21no—
351#14273696—21no—
352#14273695—21no—
353#14273695—21no—
354#14273695—21no—
355#14273695—21no—
356#14273695—21no—
357#14273695—21no—
358Q8×Dic59C2311yescharacteristic
359Q8×Dic59C2311yescharacteristic
360Q8×Dic59C2311yescharacteristic
361Q8×Dic59C2311yescharacteristic
362#14273692—21no—
363#14273692C2311yescharacteristic
364D4×Dic59—21no—
365D4×Dic59—21no—
366D4×Dic59C2311yescharacteristic
367D4×Dic59C2311yescharacteristic
368#14273689—21no—
369#14273689C2311yescharacteristic
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59—21no—
376C4×C22⋊D59C2311yescharacteristic
377C4×C22⋊D59C2311yescharacteristic
378C4×C22⋊D59C2311yescharacteristic
379C4×C22⋊D59C2311yescharacteristic
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4—21no—
382#14273686—21no—
383#14273686C2311yescharacteristic
384#14273685—21no—
385#14273685C2311yescharacteristic
386#14273684—21no—
387#14273684—21no—
388#14273683—21no—
389#14273683—21no—
390C2×C4⋊Dic59C2311yescharacteristic
391C4⋊C4×D59—21no—
392C4⋊C4×D59C2311yescharacteristic
393C2×C4×Dic59—21no—
394C2×C4×Dic59C2311yescharacteristic
395#14273661C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439#14273637C2311yescharacteristic
440#14273637C2311yescharacteristic
441C8×Dic59C2311yescharacteristic
442C8×Dic59C2311yescharacteristic
443H(5,𝔽2)×C59—42no—
444H(5,𝔽2)×C59—42no—
445C2×#41×C59—21no—
446C2×#41×C59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C2×#41×C59C2311yescharacteristic
450C22×Q8×C59C2311yescharacteristic
451C22×D4×C59—21no—
452C22×D4×C59—21no—
453C22×D4×C59—21no—
454C22×D4×C59C2311yescharacteristic
455C22×D4×C59C2311yescharacteristic
456C22×D4×C59C2311yescharacteristic
457#137×C59—42no—
458C2×Q16×C59C2311yescharacteristic
459C2×Q16×C59C2311yescharacteristic
460C2×SD16×C59—42no—
461C2×SD16×C59C2311yescharacteristic
462C2×SD16×C59C2311yescharacteristic
463C2×SD16×C59C2311yescharacteristic
464C2×SD16×C59C2311yescharacteristic
465C2×SD16×C59C2311yescharacteristic
466C2×SD16×C59C2311yescharacteristic
467C2×M16×C59C2311yescharacteristic
468C22×C8×C59C2311yescharacteristic
469C4⋊Q8×C59—21no—
470#124×C59—21no—
471#123×C59—21no—
472#123×C59—21no—
473C22⋊Q8×C59C2311yescharacteristic
474C22⋊Q8×C59C2311yescharacteristic
475C22⋊Q8×C59C2311yescharacteristic
476C22⋊Q8×C59C2311yescharacteristic
477#117×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C24×C59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496#41×C59—22no—
497#41×C59—22no—
498#41×C59—22no—
499#41×C59—22no—
500#41×C59—41no—
501#41×C59—41no—
502#41×C59—41no—
503#41×C59—41no—
504#41×C59—44no—
505C2×Q8×C59—21no—
506C2×Q8×C59—41no—
507C2×Q8×C59—41no—
508C2×Q8×C59C2×D411yescharacteristic
509C2×Q8×C59C2411yescharacteristic
510C2×Q8×C59C2411yescharacteristic
511C2×Q8×C59C2411yescharacteristic
512C2×D4×C59—21no—
513C2×D4×C59—22no—
514C2×D4×C59—22no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—21no—
520C2×D4×C59—41no—
521C2×D4×C59—41no—
522C2×D4×C59—41no—
523C2×D4×C59—41no—
524C2×D4×C59—44no—
525C2×D4×C59—44no—
526C2×D4×C59—44no—
527C2×D4×C59C2×D411yescharacteristic
528C2×D4×C59C2×D411yescharacteristic
529C2×D4×C59C2×D411yescharacteristic
530C2×D4×C59C2411yescharacteristic
531C2×D4×C59C2411yescharacteristic
532C2×D4×C59C2411yescharacteristic
533C22×C4×C59—21no—
534C22×C4×C59—21no—
535C22×C4×C59—21no—
536C22×C4×C59—21no—
537C22×C4×C59C2411yescharacteristic
538C22×C4×C59C2411yescharacteristic
539C22×C4×C59C2411yescharacteristic
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—21no—
555C2×C22⋊D59—21no—
556C2×C22⋊D59—21no—
557C2×C22⋊D59—21no—
558C2×C22⋊D59—21no—
559C2×C22⋊D59—21no—
560C2×C22⋊D59—21no—
561C2×C22⋊D59—82no—
562C2×C22⋊D59—82no—
563C2×C22⋊D59—82no—
564C2×C22⋊D59—82no—
565C2×C22⋊D59—82no—
566C2×C22⋊D59—82no—
567C2×C22⋊D59C2×D411yescharacteristic
568C2×C22⋊D59C2×D411yescharacteristic
569C2×C22⋊D59C2×D411yescharacteristic
570C2×C22⋊D59C2×D411yescharacteristic
571C2×C22⋊D59C2×D411yescharacteristic
572C2×C22⋊D59C2×D411yescharacteristic
573C22×Dic59—21no—
574C22×Dic59—21no—
575C22×Dic59—21no—
576C22×Dic59C2×D411yescharacteristic
577C22×Dic59C2×D411yescharacteristic
578#11745689—22no—
579#11745689—22no—
580#11745689—41no—
581#11745689—41no—
582#11745689—41no—
583#11745689—41no—
584Q8×D59—41no—
585Q8×D59—41no—
586D4×D59—22no—
587D4×D59—22no—
588D4×D59—41no—
589D4×D59—41no—
590D4×D59—44no—
591D4×D59—44no—
592#11745685—41no—
593#11745685—41no—
594#11745685—41no—
595#11745685—41no—
596#11745685—44no—
597C2×D236—21no—
598C2×D236—21no—
599C2×D236—21no—
600C2×D236—21no—
601C2×D236—21no—
602C2×D236—41no—
603C2×D236—41no—
604C2×D236—44no—
605C2×D236C2×D411yescharacteristic
606C2×D236C2411yescharacteristic
607C2×D236C2411yescharacteristic
608C2×D236C2411yescharacteristic
609C2×C4×D59—21no—
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59—21no—
615C2×C4×D59—21no—
616C2×C4×D59C2411yescharacteristic
617C2×C4×D59C2411yescharacteristic
618C2×Dic118—21no—
619C2×Dic118—21no—
620C2×Dic118C2×D411yescharacteristic
621C2×Dic118C2411yescharacteristic
622Q16×C59—22no—
623Q16×C59—22no—
624SD16×C59—22no—
625SD16×C59—22no—
626SD16×C59—41no—
627SD16×C59—41no—
628SD16×C59—41no—
629SD16×C59—41no—
630M16×C59—41no—
631C2×C8×C59—41no—
632C2×C8×C59C2411yescharacteristic
633C2×C8×C59C2411yescharacteristic
634C2×C8×C59C2411yescharacteristic
635C2×C8×C59C2411yescharacteristic
636C4⋊C4×C59—21no—
637C4⋊C4×C59—21no—
638C4⋊C4×C59—21no—
639C4⋊C4×C59—21no—
640C4⋊C4×C59C2411yescharacteristic
641C4⋊C4×C59C2411yescharacteristic
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C42×C59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59C2×D411yescharacteristic
658C22⋊Dic59C2×D411yescharacteristic
659C22⋊Dic59C2×D411yescharacteristic
660C22⋊Dic59C2×D411yescharacteristic
661#11745672—22no—
662#11745671—22no—
663#11745671—41no—
664#11745671—41no—
665#11745671—41no—
666#11745671—41no—
667#11745670—22no—
668#11745670—41no—
669#11745670—41no—
670#11745669—22no—
671#11745669—41no—
672#11745669—41no—
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)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4C2×D411yescharacteristic
688(C2×D59)⋊C4C2×D411yescharacteristic
689(C2×D59)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59C2411yescharacteristic
699C4⋊Dic59C2411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701C4⋊Dic59C2411yescharacteristic
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4C2×D411yescharacteristic
713Dic59⋊C4C2×D411yescharacteristic
714Dic59⋊C4C2×D411yescharacteristic
715Dic59⋊C4C2×D411yescharacteristic
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59C2×D411yescharacteristic
724C4×Dic59C2×D411yescharacteristic
725C4×Dic59C2411yescharacteristic
726C4×Dic59C2411yescharacteristic
727#11745664—41no—
728C2×C59⋊C8—41no—
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733D472—41no—
734D472—41no—
735#11745660—41no—
736#11745660—41no—
737#11745659—41no—
738#11745659—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—42no—
745C23×C59—42no—
746C23×C59—42no—
747C23×C59—81no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59—81no—
751C23×C59—81no—
752C23×C59—81no—
753C23×C59C22×D411yescharacteristic
754C23×C59C22×D411yescharacteristic
755C23×C59C22×D411yescharacteristic
756C22×D59—21no—
757C22×D59—21no—
758C22×D59—21no—
759C22×D59—42no—
760C22×D59—42no—
761C22×D59—42no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59—81no—
768C22×D59C22×D411yescharacteristic
769C22×D59C22×D411yescharacteristic
770Q8×C59—21no—
771Q8×C59—21no—
772Q8×C59—21no—
773Q8×C59—21no—
774Q8×C59—21no—
775Q8×C59—41no—
776Q8×C59—81no—
777Q8×C59H(5,𝔽2)12yes—
778D4×C59—24no—
779D4×C59—21no—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—21no—
783D4×C59—21no—
784D4×C59—41no—
785D4×C59—41no—
786D4×C59—41no—
787D4×C59—42no—
788D4×C59—42no—
789D4×C59—42no—
790D4×C59—42no—
791D4×C59—42no—
792D4×C59H(5,𝔽2)12yes—
793C2×C4×C59—24no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—21no—
805C2×C4×C59—42no—
806C2×C4×C59—42no—
807C2×C4×C59—81no—
808C2×C4×C59C22×D411yescharacteristic
809C2×C4×C59C22×D411yescharacteristic
810C2×C4×C59C22×D411yescharacteristic
811C2×C4×C59C2511yescharacteristic
812C22⋊D59—22no—
813C22⋊D59—22no—
814C22⋊D59—41no—
815C22⋊D59—41no—
816C22⋊D59—41no—
817C22⋊D59—41no—
818C22⋊D59—42no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—42no—
823C22⋊D59—42no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C22⋊D59—81no—
827C22⋊D59—81no—
828C22⋊D59—81no—
829C22⋊D59—81no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C22⋊D59—81no—
834C22⋊D59—81no—
835C22⋊D59—81no—
836C22⋊D59—81no—
837C22⋊D59—81no—
838C22⋊D59—81no—
839C2×Dic59—22no—
840C2×Dic59—21no—
841C2×Dic59—21no—
842C2×Dic59—21no—
843C2×Dic59—21no—
844C2×Dic59—21no—
845C2×Dic59—41no—
846C2×Dic59—42no—
847C2×Dic59—42no—
848C2×Dic59—81no—
849C2×Dic59C22×D411yescharacteristic
850C2×Dic59C22×D411yescharacteristic
851C2×Dic59C22×D411yescharacteristic
852C2×Dic59C22×D411yescharacteristic
853C2×Dic59C22×D411yescharacteristic
854C2×Dic59C22×D411yescharacteristic
855D236—21no—
856D236—21no—
857D236—21no—
858D236—21no—
859D236—21no—
860D236—21no—
861D236—41no—
862D236—42no—
863D236—42no—
864D236—42no—
865D236—81no—
866D236—81no—
867C4×D59—21no—
868C4×D59—21no—
869C4×D59—21no—
870C4×D59—21no—
871C4×D59—42no—
872C4×D59—42no—
873C4×D59—42no—
874C4×D59—81no—
875C4×D59—81no—
876C4×D59—81no—
877C4×D59—81no—
878Dic118—21no—
879Dic118—21no—
880Dic118—41no—
881Dic118—81no—
882Dic118—81no—
883C8×C59—21no—
884C8×C59—21no—
885C8×C59—21no—
886C8×C59—21no—
887C59⋊C8—21no—
888C59⋊C8—21no—
889C59⋊C8—21no—
890C59⋊C8—21no—
891#61689—591nomaximal, Sylow
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—21no—
896C22×C59—22no—
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—21no—
901C22×C59—21no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—41no—
910C22×C59—162no—
911C22×C59—162no—
912C22×C59—162no—
913C22×C59C23×D411yescharacteristic
914C2×D59—21no—
915C2×D59—21no—
916C2×D59—21no—
917C2×D59—21no—
918C2×D59—21no—
919C2×D59—21no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—41no—
927C2×D59—41no—
928C2×D59—41no—
929C2×D59—162no—
930C2×D59—162no—
931C2×D59—162no—
932C4×C59—21no—
933C4×C59—22no—
934C4×C59—21no—
935C4×C59—21no—
936C4×C59—41no—
937C4×C59—41no—
938C4×C59—41no—
939C4×C59—41no—
940C4×C59C2×H(5,𝔽2)11yescharacteristic
941C4×C59C2×H(5,𝔽2)11yescharacteristic
942Dic59—21no—
943Dic59—21no—
944Dic59—21no—
945Dic59—21no—
946Dic59—21no—
947Dic59—41no—
948Dic59—41no—
949Dic59—41no—
950Dic59—41no—
951Dic59—41no—
952Dic59#57712yes—
953#3547—591no—
954#3498—591no—
955#3333—591no—
956#3325—591no—
957#3317—591no—
958#3317—591no—
959#3310—591no—
960#3310—591no—
961#3305—591no—
962#3295—591no—
963#3284—591no—
964D4×SD16—591no—
965#3278—591no—
966#3272—591no—
967#3271—591no—
968#3271—591no—
969#3265—591no—
970#3265—591no—
971#3217—591no—
972#3208—591no—
973#3200—591no—
974#3200—591no—
975#3198—591no—
976#3198—591no—
977#3116—591no—
978#3102—591no—
979#3012—591no—
980#3012—591no—
981#3009—591no—
982#3009D5911yescharacteristic, complemented
983#2981—591no—
984C2×C59—41no—
985C2×C59—42no—
986C2×C59—41no—
987C2×C59—41no—
988C2×C59—81no—
989C2×C59—81no—
990C2×C59#348411yescharacteristic
991C2×C59C2×#57711yescharacteristic
992C2×C59#358511yescharacteristic
993D59—41no—
994D59—41no—
995D59—81no—
996D59—81no—
997D59—81no—
998C2×H(5,𝔽2)—591no—
999C2×H(5,𝔽2)C2×D5911yescharacteristic
1000C2×#137—591no—
1001C2×#137C2×D5911yescharacteristic, complemented
1002C2×AGL(1,ℤ/8)—591no—
1003C2×AGL(1,ℤ/8)—591no—
1004C2×#135—591no—
1005C2×#135—591no—
1006C22×SD16—591no—
1007C22×SD16C2×D5911yescharacteristic, complemented
1008#562—1181no—
1009#562—1181no—
1010#555—591no—
1011#555—1181no—
1012#554—591no—
1013#553—1181no—
1014#552—591no—
1015#552—591no—
1016#550—591no—
1017#550—591no—
1018#550—591no—
1019#550—591no—
1020D4×Q8—591no—
1021#548—591no—
1022#548—591no—
1023#547—591no—
1024D42—591no—
1025D42—591no—
1026D42—591no—
1027D42—591no—
1028D42—1181no—
1029D42—1181no—
1030D42—1181no—
1031D42—1181no—
1032#544—1181no—
1033#542—1181no—
1034#542—1181no—
1035#540—1181no—
1036#537—591no—
1037#537—591no—
1038#536—591no—
1039#536C2×D5911yescharacteristic, complemented
1040#535—591no—
1041#535—591no—
1042#535—1181no—
1043#535—1181no—
1044#533—591no—
1045#532—591no—
1046#532—1181no—
1047C2×#127—591no—
1048C2×#127—1181no—
1049#529—591no—
1050C4×#41—591no—
1051#496—591no—
1052#496—591no—
1053#492—591no—
1054#492—591no—
1055#490—591no—
1056#490—591no—
1057#486—591no—
1058#486—591no—
1059#485—591no—
1060#485—591no—
1061#485—591no—
1062#482—591no—
1063#482—591no—
1064#482—591no—
1065#482—591no—
1066#482—591no—
1067#481—591no—
1068#481—591no—
1069#480—591no—
1070#480—591no—
1071#479—591no—
1072#478—591no—
1073#477—591no—
1074#476—591no—
1075#469—591no—
1076#469—591no—
1077#468—591no—
1078#468—591no—
1079#468—591no—
1080#468—591no—
1081#468—591no—
1082#468—591no—
1083#466—591no—
1084#466—591no—
1085#465—591no—
1086#465—591no—
1087#465—591no—
1088#465—591no—
1089#465—591no—
1090#465—591no—
1091#464—591no—
1092#463—591no—
1093#462—591no—
1094#461—591no—
1095#460—591no—
1096#460—591no—
1097#460—591no—
1098#460—591no—
1099#460—591no—
1100#460—591no—
1101#459—591no—
1102#459—591no—
1103#452—591no—
1104#452—591no—
1105#452—591no—
1106#452—591no—
1107#452—591no—
1108#452C2×D5911yescharacteristic
1109#452C2×D5911yescharacteristic
1110#452C2×D5911yescharacteristic, complemented
1111#452C2×D5911yescharacteristic, complemented
1112#450—591no—
1113#450—591no—
1114#450—591no—
1115#450—591no—
1116#450—591no—
1117#450—591no—
1118#450—591no—
1119#450—591no—
1120#450C2×D5911yescharacteristic, complemented
1121#450C2×D5911yescharacteristic, complemented
1122#450C2×D5911yescharacteristic, complemented
1123#450C2×D5911yescharacteristic, complemented
1124#449—591no—
1125#449—591no—
1126#449—591no—
1127#449—591no—
1128#449—591no—
1129#449—591no—
1130#449—591no—
1131#448—591no—
1132#448—591no—
1133#448—591no—
1134#448—591no—
1135#447—591no—
1136#447—591no—
1137#447—591no—
1138#447—591no—
1139#441—591no—
1140#441—591no—
1141#440—591no—
1142#440—591no—
1143C4×Q16—591no—
1144C4×SD16—591no—
1145C4×SD16—591no—
1146C4×D8—591no—
1147#436—591no—
1148#436—591no—
1149#435—591no—
1150#435—591no—
1151#435—591no—
1152#435—591no—
1153C8×D4—591no—
1154C8×D4—591no—
1155#432—591no—
1156#431—591no—
1157#418—591no—
1158#418C2×D5911yescharacteristic, complemented
1159#417—591no—
1160#417—591no—
1161#416—591no—
1162#416C2×D5911yescharacteristic, complemented
1163C2×#102—591no—
1164C2×#102—591no—
1165#408—591no—
1166#408—591no—
1167#408—591no—
1168#408C2×D5911yescharacteristic, complemented
1169C59#6168911yescharacteristic, complemented, Sylow
1170H(5,𝔽2)—42no—
1171H(5,𝔽2)—42no—
1172H(5,𝔽2)—2362no—
1173H(5,𝔽2)—2362no—
1174C2×#41—21no—
1175C2×#41—591no—
1176C2×#41—591no—
1177C2×#41—591no—
1178C2×#41—591no—
1179C2×#41—591no—
1180C2×#41—1181no—
1181C2×#41C22×D5911yescharacteristic
1182C2×#41C22×D5911yescharacteristic
1183C2×#41C22×D5911yescharacteristic
1184C2×#41C22×D5911yescharacteristic
1185C22×Q8—591no—
1186C22×Q8C22×D5911yescharacteristic
1187C22×D4—21no—
1188C22×D4—21no—
1189C22×D4—21no—
1190C22×D4—591no—
1191C22×D4—591no—
1192C22×D4—591no—
1193C22×D4—1181no—
1194C22×D4—1181no—
1195C22×D4—1181no—
1196C22×D4—1181no—
1197C22×D4—1181no—
1198C22×D4—1181no—
1199C22×D4—1181no—
1200C22×D4—1181no—
1201C22×D4—1181no—
1202C22×D4C22×D5911yescharacteristic
1203C22×D4C22×D5911yescharacteristic
1204C22×D4C22×D5911yescharacteristic
1205#137—42no—
1206#137—2362no—
1207AGL(1,ℤ/8)—2362no—
1208AGL(1,ℤ/8)—2362no—
1209#135—2362no—
1210#135—2362no—
1211C2×Q16—591no—
1212C2×Q16C22×D5911yescharacteristic
1213C2×Q16C22×D5911yescharacteristic
1214C2×SD16—42no—
1215C2×SD16—591no—
1216C2×SD16—591no—
1217C2×SD16—591no—
1218C2×SD16—591no—
1219C2×SD16—591no—
1220C2×SD16—591no—
1221C2×SD16—591no—
1222C2×SD16—591no—
1223C2×SD16—591no—
1224C2×SD16—591no—
1225C2×SD16—2362no—
1226C2×SD16C22×D5911yescharacteristic
1227C2×SD16C22×D5911yescharacteristic
1228C2×SD16C22×D5911yescharacteristic
1229C2×SD16C22×D5911yescharacteristic
1230C2×SD16C22×D5911yescharacteristic
1231C2×SD16C22×D5911yescharacteristic
1232C2×D8—591no—
1233C2×D8—591no—
1234C2×D8—591no—
1235C2×D8—591no—
1236C2×D8—591no—
1237C2×M16—591no—
1238C2×M16—591no—
1239C2×M16—591no—
1240C2×M16C22×D5911yescharacteristic
1241C22×C8—591no—
1242C22×C8—591no—
1243C22×C8—591no—
1244C22×C8C22×D5911yescharacteristic
1245C4⋊Q8—21no—
1246C4⋊Q8—591no—
1247C4⋊Q8—591no—
1248C4⋊Q8—591no—
1249C4⋊Q8—1181no—
1250C4⋊Q8—1181no—
1251#127—591no—
1252#127—591no—
1253#127—591no—
1254#127—591no—
1255#127—591no—
1256#127—1181no—
1257#127—1181no—
1258#127—1181no—
1259#127—1181no—
1260#127—1181no—
1261#127—1181no—
1262#127—1181no—
1263#127—1181no—
1264#126—1181no—
1265#126—1181no—
1266#126—1181no—
1267#125—591no—
1268#125—1181no—
1269#125—1181no—
1270#125—1181no—
1271#125—1181no—
1272#124—21no—
1273#124—591no—
1274#124—591no—
1275#124—591no—
1276#124—1181no—
1277#124—1181no—
1278#124—1181no—
1279#124—1181no—
1280#124—1181no—
1281#124—1181no—
1282#124—1181no—
1283#123—21no—
1284#123—21no—
1285#123—1181no—
1286#123—1181no—
1287#123—1181no—
1288#123—1181no—
1289#123—1181no—
1290#123—1181no—
1291#123—1181no—
1292C22⋊Q8—591no—
1293C22⋊Q8—591no—
1294C22⋊Q8—591no—
1295C22⋊Q8—591no—
1296C22⋊Q8—591no—
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
1307C22⋊Q8C22×D5911yescharacteristic
1308C22⋊Q8C22×D5911yescharacteristic
1309C22⋊Q8C22×D5911yescharacteristic
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—591no—
1319#121—591no—
1320#121—591no—
1321#121—591no—
1322#121—591no—
1323#121—591no—
1324#121—591no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#120—1181no—
1348#120—1181no—
1349#120—1181no—
1350#120—1181no—
1351#120—1181no—
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359C4×Q8—591no—
1360C4×Q8—591no—
1361C4×Q8—591no—
1362C4×Q8—591no—
1363C4×Q8—591no—
1364C4×Q8—1181no—
1365C4×D4—591no—
1366C4×D4—591no—
1367C4×D4—591no—
1368C4×D4—591no—
1369C4×D4—591no—
1370C4×D4—591no—
1371C4×D4—591no—
1372C4×D4—1181no—
1373C4×D4—1181no—
1374C4×D4—1181no—
1375C4×D4—1181no—
1376C4×D4—1181no—
1377C4×D4—1181no—
1378C4×D4—1181no—
1379C4×D4—1181no—
1380C4×D4—1181no—
1381C4×D4—1181no—
1382C4×D4—1181no—
1383#117—591no—
1384#117—591no—
1385#117—1181no—
1386#117—1181no—
1387#117—1181no—
1388#117—1181no—
1389#117—1181no—
1390#117—1181no—
1391#117C22×D5911yescharacteristic
1392C2×C4⋊C4—591no—
1393C2×C4⋊C4—591no—
1394C2×C4⋊C4—1181no—
1395C2×C42—591no—
1396C2×C42—1181no—
1397#107—591no—
1398#107—591no—
1399#107—591no—
1400#107—591no—
1401#106—591no—
1402#106—591no—
1403#106—591no—
1404#106—591no—
1405C4⋊C8—591no—
1406C4⋊C8—591no—
1407C4⋊C8—591no—
1408C4⋊C8—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103—591no—
1415#103—591no—
1416#103—591no—
1417#103C22×D5911yescharacteristic
1418#103C22×D5911yescharacteristic
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102C22×D5911yescharacteristic
1436#102C22×D5911yescharacteristic
1437#102C22×D5911yescharacteristic
1438#102C22×D5911yescharacteristic
1439#102C22×D5911yescharacteristic
1440#102C22×D5911yescharacteristic
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8—591no—
1445C22⋊C8—591no—
1446C22⋊C8—591no—
1447C22⋊C8—591no—
1448C22⋊C8—591no—
1449C22⋊C8C22×D5911yescharacteristic
1450C22⋊C8C22×D5911yescharacteristic
1451C22⋊C8C22×D5911yescharacteristic
1452C22⋊C8C22×D5911yescharacteristic
1453#97—591no—
1454#97—591no—
1455C4×C8—591no—
1456C4×C8—591no—
1457C24—21no—
1458C24—21no—
1459C24—21no—
1460C24—1181no—
1461C24—1181no—
1462C24—1181no—
1463#41—22no—
1464#41—22no—
1465#41—22no—
1466#41—22no—
1467#41—41no—
1468#41—41no—
1469#41—41no—
1470#41—41no—
1471#41—44no—
1472#41—1182no—
1473#41—1182no—
1474#41—2361no—
1475#41—2361no—
1476#41—2361no—
1477#41—2361no—
1478#41—2364no—
1479#41—2361no—
1480#41—2361no—
1481#41—2361no—
1482#41—2361no—
1483C2×Q8—21no—
1484C2×Q8—41no—
1485C2×Q8—41no—
1486C2×Q8—591no—
1487C2×Q8—591no—
1488C2×Q8—1181no—
1489C2×Q8—1181no—
1490C2×Q8—2361no—
1491C2×Q8—2361no—
1492C2×Q8D4×D5911yescharacteristic
1493C2×Q8C23×D5911yescharacteristic
1494C2×Q8C23×D5911yescharacteristic
1495C2×Q8C23×D5911yescharacteristic
1496C2×D4—21no—
1497C2×D4—22no—
1498C2×D4—22no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—41no—
1505C2×D4—41no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—44no—
1509C2×D4—44no—
1510C2×D4—44no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—591no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—591no—
1517C2×D4—591no—
1518C2×D4—591no—
1519C2×D4—591no—
1520C2×D4—591no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1182no—
1536C2×D4—1182no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—1181no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—4722no—
1550C2×D4—4722no—
1551C2×D4—4722no—
1552C2×D4—4722no—
1553C2×D4—4722no—
1554C2×D4—4722no—
1555C2×D4—2361no—
1556C2×D4—2361no—
1557C2×D4—2364no—
1558C2×D4—2361no—
1559C2×D4—2361no—
1560C2×D4—2364no—
1561C2×D4—2364no—
1562C2×D4D4×D5911yescharacteristic
1563C2×D4D4×D5911yescharacteristic
1564C2×D4D4×D5911yescharacteristic
1565C2×D4C23×D5911yescharacteristic
1566C2×D4C23×D5911yescharacteristic
1567C2×D4C23×D5911yescharacteristic
1568C22×C4—21no—
1569C22×C4—21no—
1570C22×C4—21no—
1571C22×C4—21no—
1572C22×C4—591no—
1573C22×C4—591no—
1574C22×C4—591no—
1575C22×C4—591no—
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×C4—1181no—
1586C22×C4C23×D5911yescharacteristic
1587C22×C4C23×D5911yescharacteristic
1588C22×C4C23×D5911yescharacteristic
1589Q16—22no—
1590Q16—22no—
1591Q16—1182no—
1592SD16—22no—
1593SD16—22no—
1594SD16—41no—
1595SD16—41no—
1596SD16—41no—
1597SD16—41no—
1598SD16—1182no—
1599SD16—1182no—
1600SD16—2361no—
1601SD16—2361no—
1602SD16—2361no—
1603SD16—2361no—
1604SD16—2361no—
1605SD16—2361no—
1606SD16—2361no—
1607SD16—2361no—
1608D8—1182no—
1609D8—2361no—
1610D8—2361no—
1611D8—2361no—
1612D8—2361no—
1613M16—41no—
1614M16—2361no—
1615M16—2361no—
1616M16—2361no—
1617C2×C8—41no—
1618C2×C8—591no—
1619C2×C8—591no—
1620C2×C8—591no—
1621C2×C8—591no—
1622C2×C8—2361no—
1623C2×C8—2361no—
1624C2×C8—2361no—
1625C2×C8C23×D5911yescharacteristic
1626C2×C8C23×D5911yescharacteristic
1627C2×C8C23×D5911yescharacteristic
1628C2×C8C23×D5911yescharacteristic
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—591no—
1634C4⋊C4—591no—
1635C4⋊C4—591no—
1636C4⋊C4—591no—
1637C4⋊C4—591no—
1638C4⋊C4—591no—
1639C4⋊C4—591no—
1640C4⋊C4—591no—
1641C4⋊C4—1181no—
1642C4⋊C4—1181no—
1643C4⋊C4—1181no—
1644C4⋊C4—1181no—
1645C4⋊C4—1181no—
1646C4⋊C4—1181no—
1647C4⋊C4—1181no—
1648C4⋊C4—1181no—
1649C4⋊C4—1181no—
1650C4⋊C4—1181no—
1651C4⋊C4—1181no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
1655C4⋊C4—1181no—
1656C4⋊C4—1181no—
1657C4⋊C4—1181no—
1658C4⋊C4C23×D5911yescharacteristic
1659C4⋊C4C23×D5911yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—591no—
1666C22⋊C4—591no—
1667C22⋊C4—591no—
1668C22⋊C4—591no—
1669C22⋊C4—591no—
1670C22⋊C4—591no—
1671C22⋊C4—591no—
1672C22⋊C4—591no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C42—21no—
1697C42—591no—
1698C42—591no—
1699C42—591no—
1700C42—591no—
1701C42—1181no—
1702C42—1181no—
1703C42—1181no—
1704C42—1181no—
1705C42—1181no—
1706C42—1181no—
1707C42—1181no—
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—42no—
1712C23—42no—
1713C23—42no—
1714C23—81no—
1715C23—81no—
1716C23—81no—
1717C23—81no—
1718C23—81no—
1719C23—81no—
1720C23—591no—
1721C23—591no—
1722C23—1181no—
1723C23—1181no—
1724C23—1181no—
1725C23—4721no—
1726C23—4721no—
1727C23—4721no—
1728C23—4721no—
1729C23—4721no—
1730C23—4721no—
1731C23—2362no—
1732C23—2362no—
1733C23—2362no—
1734C23C2×D4×D5911yescharacteristic
1735C23C2×D4×D5911yescharacteristic
1736C23C2×D4×D5911yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—21no—
1742Q8—41no—
1743Q8—81no—
1744Q8—1181no—
1745Q8—1181no—
1746Q8—4721no—
1747Q8—4721no—
1748Q8—2361no—
1749Q8#1427377212yes—
1750D4—24no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—41no—
1757D4—41no—
1758D4—41no—
1759D4—42no—
1760D4—42no—
1761D4—42no—
1762D4—42no—
1763D4—42no—
1764D4—1182no—
1765D4—1182no—
1766D4—1181no—
1767D4—1181no—
1768D4—1181no—
1769D4—1181no—
1770D4—1181no—
1771D4—1181no—
1772D4—4721no—
1773D4—4721no—
1774D4—4721no—
1775D4—4721no—
1776D4—4721no—
1777D4—4721no—
1778D4—4721no—
1779D4—4721no—
1780D4—4721no—
1781D4—4721no—
1782D4—4721no—
1783D4—4721no—
1784D4—4721no—
1785D4—4721no—
1786D4—4721no—
1787D4—4721no—
1788D4—4721no—
1789D4—2361no—
1790D4—2362no—
1791D4—2362no—
1792D4—2362no—
1793D4—2362no—
1794D4—2362no—
1795D4—2361no—
1796D4—2361no—
1797D4—2361no—
1798D4—2361no—
1799D4—2362no—
1800D4—2362no—
1801D4—2362no—
1802D4—2362no—
1803D4#1427377212yes—
1804C2×C4—24no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—42no—
1817C2×C4—42no—
1818C2×C4—81no—
1819C2×C4—591no—
1820C2×C4—591no—
1821C2×C4—591no—
1822C2×C4—591no—
1823C2×C4—591no—
1824C2×C4—591no—
1825C2×C4—1182no—
1826C2×C4—1181no—
1827C2×C4—1181no—
1828C2×C4—1181no—
1829C2×C4—1181no—
1830C2×C4—1181no—
1831C2×C4—1181no—
1832C2×C4—1181no—
1833C2×C4—1181no—
1834C2×C4—1181no—
1835C2×C4—4721no—
1836C2×C4—4721no—
1837C2×C4—4721no—
1838C2×C4—4721no—
1839C2×C4—4721no—
1840C2×C4—2362no—
1841C2×C4—2362no—
1842C2×C4—2362no—
1843C2×C4—2362no—
1844C2×C4—2361no—
1845C2×C4—2362no—
1846C2×C4C2×D4×D5911yescharacteristic
1847C2×C4C2×D4×D5911yescharacteristic
1848C2×C4C2×D4×D5911yescharacteristic
1849C2×C4C24×D5911yescharacteristic
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—21no—
1854C8—1181no—
1855C8—1181no—
1856C8—1181no—
1857C8—1181no—
1858C22—21no—
1859C22—21no—
1860C22—22no—
1861C22—21no—
1862C22—21no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—162no—
1877C22—162no—
1878C22—162no—
1879C22—1181no—
1880C22—1181no—
1881C22—1181no—
1882C22—1181no—
1883C22—1181no—
1884C22—1181no—
1885C22—9442no—
1886C22—9442no—
1887C22—9442no—
1888C22—2361no—
1889C22—2361no—
1890C22—2361no—
1891C22—2361no—
1892C22—2361no—
1893C22—2361no—
1894C22—2361no—
1895C22—2361no—
1896C22—2361no—
1897C22C22×D4×D5911yescharacteristic
1898C4—21no—
1899C4—22no—
1900C4—21no—
1901C4—21no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—592no—
1907C4—1181no—
1908C4—1181no—
1909C4—1181no—
1910C4—1181no—
1911C4—1181no—
1912C4—2361no—
1913C4—2361no—
1914C4—2361no—
1915C4—2361no—
1916C4—2361no—
1917C4C2×#1427377211yescharacteristic
1918C4C2×#1427377211yescharacteristic
1919C2—41no—
1920C2—41no—
1921C2—41no—
1922C2—42no—
1923C2—81no—
1924C2—81no—
1925C2—4721no—
1926C2—4721no—
1927C2—4721no—
1928C2—2361no—
1929C2—2361no—
1930C2#2143772511yescharacteristic
1931C2#577×D5911yescharacteristic
1932C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3009C2
socleC22×C59C23×D4
hypercenter#3009D59
hypocenterC59#61689
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3009

Complements

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

NH ≅ G/Ntype
1. #21438483C2semidirect
2. #21437870C2semidirect
3. #21436427C2semidirect
4. #21436334C2semidirect
5. #21436218C2semidirect
6. #21436215C2semidirect
7. #21436121C2semidirect
8. #21436118C2semidirect
9. #21436042C2semidirect
10. #21435913C2semidirect
11. #21435819C2semidirect
12. SD16×C22⋊D59C2semidirect
13. #21435756C2semidirect
14. #21435694C2semidirect
15. #21435685C2semidirect
16. #21435675C2semidirect
17. #21435591C2semidirect
18. #21435589C2semidirect
19. #21435117C2semidirect
20. #21435035C2semidirect
21. #21434965C2semidirect
22. #21434963C2semidirect
23. #21434952C2semidirect
24. #21434950C2semidirect
25. #21434251C2semidirect
26. #21434115C2semidirect
27. #21433404C2semidirect
28. #21433400C2semidirect
29. #21433370C2semidirect
30. #21433169C2semidirect
31. C59×#3009C2semidirect
33. C2×#14273759C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273753C22semidirect
36. C2×#14273750C22semidirect
37. C2×#14273747C22semidirect
38. C2×SD16×D59C22semidirect
41. #16838115C22semidirect
43. #16838110C22semidirect
45. #16838094C22semidirect
46. #16838091C22semidirect
51. Q8×C22⋊D59C22semidirect
52. #16838063C22semidirect
53. #16838062C22semidirect
54. #16838054C22semidirect
67. #16837982C22semidirect
68. #16837980C22semidirect
69. #16837975C22semidirect
74. #16837954C22semidirect
79. #16837938C22semidirect
81. #16837788C22semidirect
82. #16837788C22semidirect
83. #16837773C22semidirect
84. #16837773C22semidirect
85. #16837765C22semidirect
86. #16837765C22semidirect
87. #16837747C22semidirect
88. #16837747C22semidirect
89. #16837744C22semidirect
90. #16837740C22semidirect
91. #16837740C22semidirect
92. #16837727C22semidirect
93. #16837726C22semidirect
94. #16837726C22semidirect
95. #16837725C22semidirect
96. #16837724C22semidirect
97. #16837721C22semidirect
98. #16837719C22semidirect
99. #16837716C22semidirect
100. #16837714C22semidirect
101. #16837707C22semidirect
102. #16837700C22semidirect
103. #16837695C22semidirect
104. #16837690C22semidirect
105. #16837655C22semidirect
106. #16837654C22semidirect
107. #16837650C22semidirect
108. #16837650C22semidirect
109. #16837648C22semidirect
110. #16837647C22semidirect
111. #16837645C22semidirect
112. #16837645C22semidirect
113. #16837638C22semidirect
114. #16837637C22semidirect
115. #16837633C22semidirect
116. #16837633C22semidirect
117. #16837631C22semidirect
118. #16837630C22semidirect
119. #16837628C22semidirect
120. #16837628C22semidirect
121. #16837626C22semidirect
122. #16837619C22semidirect
123. #16837610C22semidirect
124. #16837605C22semidirect
125. #16837601C22semidirect
126. #16837601C22semidirect
127. #16837600C22semidirect
128. #16837600C22semidirect
129. #16837600C22semidirect
130. #16837600C22semidirect
131. #16837596C22semidirect
132. #16837596C22semidirect
133. #16837567C22semidirect
135. #16837564C22semidirect
136. #16837563C22semidirect
137. #16837563C22semidirect
138. #16837555C22semidirect
139. #16837554C22semidirect
140. #16837553C22semidirect
141. #16837553C22semidirect
142. #16837552C22semidirect
143. #16837552C22semidirect
144. #16837551C22semidirect
145. #16837551C22semidirect
146. #16837550C22semidirect
147. #16837549C22semidirect
148. #16837549C22semidirect
150. #16837547C22semidirect
151. #16837546C22semidirect
152. #16837546C22semidirect
153. #16837541C22semidirect
154. #16837541C22semidirect
155. #16837539C22semidirect
156. #16837539C22semidirect
157. #16837538C22semidirect
158. #16837537C22semidirect
159. #16837536C22semidirect
160. #16837536C22semidirect
161. #16837509C22semidirect
162. #16837506C22semidirect
163. #16837503C22semidirect
164. #16837499C22semidirect
165. Q16×Dic59C22semidirect
166. SD16×Dic59C22semidirect
167. #16837487C22semidirect
168. #16837482C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
171. #16837476C22semidirect
172. #16837473C22semidirect
173. #16837471C22semidirect
174. #16837470C22semidirect
175. C8×C22⋊D59C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837456C22semidirect
178. #16837452C22semidirect
179. #16837405C22semidirect
180. #16837403C22semidirect
181. #16837402C22semidirect
182. #16837397C22semidirect
183. C2×#14273648C22semidirect
184. #102×D59C22semidirect
185. #16837369C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
189. C2×#137×C59C22semidirect
190. C22×SD16×C59C22semidirect
191. C59×#536C22semidirect
194. C59×#452C22semidirect
195. C59×#452C22semidirect
196. C59×#450C22semidirect
197. C59×#450C22semidirect
198. C59×#450C22semidirect
199. C59×#450C22semidirect
200. C59×#418C22semidirect
201. C59×#416C22semidirect
202. C59×#408C22semidirect
982. #3009D59semidirect
1001. C2×#137C2×D59semidirect
1007. C22×SD16C2×D59semidirect
1039. #536C2×D59semidirect
1110. #452C2×D59semidirect
1111. #452C2×D59semidirect
1120. #450C2×D59semidirect
1121. #450C2×D59semidirect
1122. #450C2×D59semidirect
1123. #450C2×D59semidirect
1158. #418C2×D59semidirect
1162. #416C2×D59semidirect
1168. #408C2×D59semidirect
1169. C59#61689semidirect

Maximal subgroups

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

subgroupindex
#214384832
#214378702
#214364272
#214363342
#214362182
#214362152
#214361212
#214361182
#214360422
#214359132
#214358192
SD16×C22⋊D592
#214357562
#214356942
#214356852
#214356752
#214355912
#214355892
#214351172
#214350352
#214349652
#214349632
#214349522
#214349502
#214342512
#214341152
#214334042
#214334002
#214333702
#214331692
C59×#30092
#6168959