Finite Group Databasebeta

← #29474608

Subgroups — #29474608

Order 15104.

2156 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#21438312C211yesmaximal, characteristic, complemented
2#21437756C211yesmaximal, characteristic, complemented
3#21436437C211yesmaximal, characteristic, complemented
4#21436429C211yesmaximal, characteristic, complemented
5#21436182C211yesmaximal, characteristic, complemented
6#21436181C211yesmaximal, characteristic, complemented
7#21436093C211yesmaximal, characteristic, complemented
8#21436089C211yesmaximal, characteristic, complemented
9#21435909C211yesmaximal, characteristic, complemented
10#21435902C211yesmaximal, characteristic, complemented
11#21435833C211yesmaximal, characteristic, complemented
12#21435830C211yesmaximal, characteristic, complemented
13#21435702C211yesmaximal, characteristic, complemented
14#21435701C211yesmaximal, characteristic, complemented
15#21435640C211yesmaximal, characteristic, complemented
16#21435635C211yesmaximal, characteristic, complemented
17#21435591C211yesmaximal, characteristic, complemented
18#21435195C211yesmaximal, characteristic, complemented
19#21435185C211yesmaximal, characteristic, complemented
20#21434995C211yesmaximal, characteristic, complemented
21#21434994C211yesmaximal, characteristic, complemented
22#21434900C211yesmaximal, characteristic, complemented
23#21434843C211yesmaximal, characteristic, complemented
24#21434362C211yesmaximal, characteristic, complemented
25#21434355C211yesmaximal, characteristic, complemented
26#21433401C211yesmaximal, characteristic, complemented
27#21433399C211yesmaximal, characteristic, complemented
28#21433343C211yesmaximal, characteristic, complemented
29C2×#16837561C211yesmaximal, characteristic, complemented
30#21433145C211yesmaximal, characteristic, complemented
31C59×#3265C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic, complemented
33C22×#11745687C2211yescharacteristic
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273748C2211yescharacteristic, complemented
38C2×#14273747C2211yescharacteristic, complemented
39C22×#11745672C2211yescharacteristic, complemented
40#16838148—21no—
41#16838146—21no—
42#16838112C2211yescharacteristic, complemented
43#16838110C2211yescharacteristic, complemented
44#16838072C2211yescharacteristic
45#16838070C2211yescharacteristic
46#16838063C2211yescharacteristic, complemented
47#16838061C2211yescharacteristic, complemented
48#16838058C2211yescharacteristic, complemented
49#16838056C2211yescharacteristic, complemented
50#16838052C2211yescharacteristic, complemented
51#16838047—21no—
52#16838047C2211yescharacteristic
53#16838046C2211yescharacteristic
54#16838045C2211yescharacteristic, complemented
55#16838041—21no—
56#16838041—21no—
57#16838040C2211yescharacteristic, complemented
58#16838039—21no—
59D4×C22⋊D59—21no—
60D4×C22⋊D59C2211yescharacteristic, complemented
61#16838034—21no—
62#16838027—21no—
63#16838024C2211yescharacteristic, complemented
64#16838021C2211yescharacteristic, complemented
65#16837994—21no—
66#16837986—21no—
67#16837982C2211yescharacteristic, complemented
68#16837981C2211yescharacteristic, complemented
69#16837980C2211yescharacteristic, complemented
70#16837979—21no—
71#16837979—21no—
72#16837967—21no—
73#16837965C2211yescharacteristic, complemented
74#16837911C2211yescharacteristic
75#16837908—21no—
76C2×#14273703C2211yescharacteristic, complemented
77C2×#14273699—21no—
78#121×D59C2211yescharacteristic
79#121×D59C2211yescharacteristic, complemented
80#16837881C2211yescharacteristic, complemented
81#16837788C2211yescharacteristic, complemented
82#16837784C2211yescharacteristic, complemented
83#16837783C2211yescharacteristic, complemented
84#16837762C2211yescharacteristic, complemented
85#16837760C2211yescharacteristic, complemented
86#16837748C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837739C2211yescharacteristic, complemented
89#16837738C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837717C2211yescharacteristic, complemented
93#16837717C2211yescharacteristic, complemented
94#16837716C2211yescharacteristic, complemented
95#16837714C2211yescharacteristic, complemented
96#16837714C2211yescharacteristic, complemented
97#16837714C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837713C2211yescharacteristic, complemented
100#16837698C2211yescharacteristic, complemented
101#16837696C2211yescharacteristic, complemented
102#16837682C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837651C2211yescharacteristic, complemented
105#16837651C2211yescharacteristic, complemented
106#16837648C2211yescharacteristic, complemented
107#16837647C2211yescharacteristic, complemented
108#16837645C2211yescharacteristic, complemented
109#16837645C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837642C2211yescharacteristic, complemented
112#16837641C2211yescharacteristic, complemented
113#16837638C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837635C2211yescharacteristic, complemented
118#16837627C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837622C2211yescharacteristic, complemented
121#16837621C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837600C2211yescharacteristic, complemented
126#16837595C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837564C2211yescharacteristic, complemented
130#16837562C2211yescharacteristic, complemented
131#16837561C2211yescharacteristic, complemented
132#16837561C2211yescharacteristic, complemented
133#16837561C2211yescharacteristic, complemented
134#16837561C2211yescharacteristic, complemented
135#16837561C2211yescharacteristic, complemented
136#16837561C2211yescharacteristic, complemented
137#16837561C2211yescharacteristic, complemented
138#16837561C2211yescharacteristic, complemented
139#16837561C2211yescharacteristic, complemented
140#16837551C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837549C2211yescharacteristic, complemented
144#16837548C2211yescharacteristic
145#16837548C2211yescharacteristic, complemented
146#16837546C2211yescharacteristic, complemented
147#16837544C2211yescharacteristic
148#16837544C2211yescharacteristic, complemented
149#16837544C2211yescharacteristic, complemented
150#16837543C2211yescharacteristic, complemented
151#16837541C2211yescharacteristic, complemented
152#16837540C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837536C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837504C2211yescharacteristic, complemented
161#16837503C2211yescharacteristic, complemented
162#16837499C2211yescharacteristic, complemented
163C4×#11745672C2211yescharacteristic, complemented
164#16837494C2211yescharacteristic, complemented
165D8×Dic59C2211yescharacteristic, complemented
166C4×#11745669C2211yescharacteristic, complemented
167#16837479C2211yescharacteristic, complemented
168#16837478C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837473C2211yescharacteristic, complemented
171#16837470C2211yescharacteristic, complemented
172D4×C59⋊C8C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837464C2211yescharacteristic, complemented
175#16837462C2211yescharacteristic, complemented
176#16837404C2211yescharacteristic, complemented
177#16837400C2211yescharacteristic, complemented
178#16837400C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180C2×#14273652C2211yescharacteristic, complemented
181C2×#14273648C2211yescharacteristic, complemented
182C2×#14273648C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×SD16×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic, complemented
192C59×#496C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203#14273772—42no—
204#14273772—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687—42no—
214C2×#11745687—42no—
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C2×#11745687C2311yescharacteristic
219C2×#11745687C2311yescharacteristic
220C22×Dic118C2311yescharacteristic
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C22×C22⋊D59—21no—
224C22×C22⋊D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C23×Dic59—21no—
232C22×C4×D59C2311yescharacteristic
233#14273754—42no—
234#14273751—42no—
235#14273751—42no—
236#14273748—42no—
237#14273747—42no—
238C2×#11745672—42no—
239C2×#11745672C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745672C2311yescharacteristic
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745670C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×D472C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745659C2311yescharacteristic
255C2×#11745659C2311yescharacteristic
256C2×#11745659C2311yescharacteristic
257C22×C59⋊C8C2311yescharacteristic
258C22×C59⋊C8C2311yescharacteristic
259C2×C8×D59C2311yescharacteristic
260#14273727C2311yescharacteristic
261#14273726C2311yescharacteristic
262#14273723—21no—
263#14273723—21no—
264#14273723C2311yescharacteristic
265#14273721—21no—
266#14273720—21no—
267#14273719—21no—
268#14273717—21no—
269#14273716—21no—
270#14273716C2311yescharacteristic
271#14273715—21no—
272#14273715C2311yescharacteristic
273#14273714C2311yescharacteristic
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273712—21no—
278#14273712D411yescharacteristic
279#14273711—21no—
280#14273711—21no—
281#14273711—21no—
282#14273711—21no—
283#14273710—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709D411yescharacteristic
287#14273708—21no—
288#14273708—21no—
289#14273707—21no—
290#14273707—21no—
291#14273707C2311yescharacteristic
292#14273706—21no—
293#14273706C2311yescharacteristic
294#14273705—21no—
295#14273705—21no—
296#14273705—21no—
297#14273705—21no—
298#14273705—21no—
299#14273705D411yescharacteristic
300#14273704—21no—
301#14273704—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704D411yescharacteristic
306#14273703—21no—
307#14273703—21no—
308#14273703—21no—
309#14273703C2311yescharacteristic
310#14273703C2311yescharacteristic
311#14273703C2311yescharacteristic
312#14273703C2311yescharacteristic
313#14273703C2311yescharacteristic
314#14273702—21no—
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273701—21no—
318#14273701—21no—
319#14273701—21no—
320#14273701C2311yescharacteristic
321#14273701C2311yescharacteristic
322#14273701C2311yescharacteristic
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273700—21no—
330#14273700D411yescharacteristic
331#14273699—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699—21no—
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273699—21no—
343#14273699—21no—
344#14273699—21no—
345#14273699—21no—
346#14273699D411yescharacteristic
347#14273698—21no—
348#14273698C2311yescharacteristic
349#14273698C2311yescharacteristic
350#14273698C2311yescharacteristic
351#14273698C2311yescharacteristic
352#14273697—21no—
353#14273697—21no—
354#14273697D411yescharacteristic
355#14273696—21no—
356#14273696—21no—
357#14273695—21no—
358#14273695—21no—
359#14273695—21no—
360#14273695—21no—
361#14273695D411yescharacteristic
362Q8×Dic59C2311yescharacteristic
363C4×Dic118C2311yescharacteristic
364#14273692C2311yescharacteristic
365C4×D236—21no—
366C4×D236C2311yescharacteristic
367C4×D236C2311yescharacteristic
368D4×Dic59—21no—
369D4×Dic59—21no—
370D4×Dic59C2311yescharacteristic
371D4×Dic59C2311yescharacteristic
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380#14273684C2311yescharacteristic
381#14273683—21no—
382C2×C4⋊Dic59C2311yescharacteristic
383C2×C4⋊Dic59C2311yescharacteristic
384C2×Dic59⋊C4—21no—
385C2×Dic59⋊C4—21no—
386C4⋊C4×D59C2311yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C4⋊C4×D59C2311yescharacteristic
389C2×C22⋊Dic59—21no—
390C2×(C2×D59)⋊C4—21no—
391C2×(C2×D59)⋊C4—21no—
392C2×(C2×D59)⋊C4—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273661C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273660C2311yescharacteristic
401#14273660C2311yescharacteristic
402#14273660C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442#14273637C2311yescharacteristic
443C4×C59⋊C8C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C22×Q8×C59C2311yescharacteristic
447C22×D4×C59—21no—
448C22×D4×C59C2311yescharacteristic
449C22×D4×C59C2311yescharacteristic
450AGL(1,ℤ/8)×C59—42no—
451C2×SD16×C59—42no—
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×SD16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×D8×C59C2311yescharacteristic
461C2×M16×C59C2311yescharacteristic
462C22×C8×C59C2311yescharacteristic
463#127×C59C2311yescharacteristic
464#124×C59—21no—
465#124×C59C2311yescharacteristic
466C22⋊Q8×C59—21no—
467C22⋊Q8×C59C2311yescharacteristic
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic
473#120×C59—21no—
474#120×C59—21no—
475C4×Q8×C59C2311yescharacteristic
476C4×D4×C59—21no—
477C4×D4×C59C2311yescharacteristic
478C4×D4×C59C2311yescharacteristic
479#107×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59C2×D411yescharacteristic
496#41×C59—41no—
497#41×C59—41no—
498C2×Q8×C59—21no—
499C2×Q8×C59—41no—
500C2×Q8×C59—41no—
501C2×Q8×C59C2411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×D4×C59—22no—
504C2×D4×C59—22no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—41no—
514C2×D4×C59—41no—
515C2×D4×C59—82no—
516C2×D4×C59C2×D411yescharacteristic
517C2×D4×C59C2411yescharacteristic
518C2×D4×C59C2411yescharacteristic
519C2×D4×C59C2411yescharacteristic
520C2×D4×C59C2411yescharacteristic
521C22×C4×C59—21no—
522C22×C4×C59—21no—
523C22×C4×C59—21no—
524C22×C4×C59C2411yescharacteristic
525C22×C4×C59C2411yescharacteristic
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—44no—
545C2×C22⋊D59—44no—
546C2×C22⋊D59—44no—
547C2×C22⋊D59—82no—
548C2×C22⋊D59C2×D411yescharacteristic
549C2×C22⋊D59C2×D411yescharacteristic
550C2×C22⋊D59C2×D411yescharacteristic
551C2×C22⋊D59C2×D411yescharacteristic
552C22×Dic59—21no—
553C22×Dic59—21no—
554C22×Dic59—21no—
555C22×Dic59—21no—
556C22×Dic59—21no—
557C22×Dic59—21no—
558C22×Dic59—21no—
559C22×Dic59—21no—
560C22×Dic59—21no—
561C22×Dic59—21no—
562C22×Dic59—44no—
563C22×Dic59C2×D411yescharacteristic
564#11745689—41no—
565#11745689—41no—
566#11745687—22no—
567#11745687—22no—
568#11745687—22no—
569#11745687—22no—
570#11745687—22no—
571#11745687—41no—
572#11745687—41no—
573#11745687—41no—
574#11745687—41no—
575#11745687—41no—
576#11745687—44no—
577#11745687—44no—
578#11745687—44no—
579#11745687—82no—
580#11745687—82no—
581D4×D59—22no—
582D4×D59—41no—
583D4×D59—41no—
584D4×D59—41no—
585D4×D59—41no—
586D4×D59—41no—
587D4×D59—44no—
588D4×D59—82no—
589D4×D59—82no—
590#11745685—22no—
591#11745685—41no—
592#11745685—41no—
593#11745685—41no—
594C2×D236—21no—
595C2×D236—21no—
596C2×D236—21no—
597C2×D236C2×D411yescharacteristic
598C2×D236C2×D411yescharacteristic
599C2×D236C2411yescharacteristic
600C2×D236C2411yescharacteristic
601C2×C4×D59—21no—
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—41no—
608C2×C4×D59—41no—
609C2×C4×D59C2×D411yescharacteristic
610C2×C4×D59C2×D411yescharacteristic
611C2×C4×D59C2411yescharacteristic
612C2×C4×D59C2411yescharacteristic
613C2×C4×D59C2411yescharacteristic
614C2×Dic118—22no—
615C2×Dic118—21no—
616C2×Dic118—21no—
617C2×Dic118—21no—
618C2×Dic118—41no—
619C2×Dic118C2×D411yescharacteristic
620C2×Dic118C2411yescharacteristic
621C2×Dic118C2411yescharacteristic
622SD16×C59—22no—
623SD16×C59—22no—
624SD16×C59—41no—
625SD16×C59—41no—
626SD16×C59—41no—
627SD16×C59—41no—
628D8×C59—22no—
629D8×C59—41no—
630D8×C59—41no—
631M16×C59—41no—
632C2×C8×C59—41no—
633C2×C8×C59C2411yescharacteristic
634C2×C8×C59C2411yescharacteristic
635C2×C8×C59C2411yescharacteristic
636C2×C8×C59C2411yescharacteristic
637C4⋊C4×C59—21no—
638C4⋊C4×C59—21no—
639C4⋊C4×C59C2×D411yescharacteristic
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—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59C2×D411yescharacteristic
650C22⋊C4×C59C2×D411yescharacteristic
651C42×C59—21no—
652C42×C59C2411yescharacteristic
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59C2×D411yescharacteristic
663C22⋊Dic59C2×D411yescharacteristic
664#11745672—22no—
665#11745672—22no—
666#11745672—41no—
667#11745672—41no—
668#11745671—41no—
669#11745671—41no—
670#11745670—22no—
671#11745670—41no—
672#11745669—22no—
673#11745669—41no—
674#11745669—41no—
675#11745669—41no—
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)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4C2×D411yescharacteristic
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697(C2×D59)⋊C4C2×D411yescharacteristic
698C4⋊Dic59—21no—
699C4⋊Dic59—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59—21no—
702C4⋊Dic59—21no—
703C4⋊Dic59C2×D411yescharacteristic
704C4⋊Dic59C2411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
706C4⋊Dic59C2411yescharacteristic
707C4⋊Dic59C2411yescharacteristic
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720Dic59⋊C4C2×D411yescharacteristic
721Dic59⋊C4C2×D411yescharacteristic
722Dic59⋊C4C2×D411yescharacteristic
723Dic59⋊C4C2×D411yescharacteristic
724C4×Dic59—21no—
725C4×Dic59—21no—
726C4×Dic59—21no—
727C4×Dic59C2411yescharacteristic
728C2×C59⋊C8—41no—
729C2×C59⋊C8—41no—
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734D472—41no—
735#11745660—22no—
736#11745660—41no—
737#11745659—41no—
738#11745659—41no—
739#11745659—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—21no—
745C23×C59—42no—
746C23×C59—42no—
747C23×C59—42no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59—81no—
751C23×C59C22×D411yescharacteristic
752C23×C59C22×D411yescharacteristic
753C22×D59—22no—
754C22×D59—21no—
755C22×D59—21no—
756C22×D59—41no—
757C22×D59—41no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—42no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59C22×D411yescharacteristic
768C22×D59C22×D411yescharacteristic
769C22×D59C22×D411yescharacteristic
770Q8×C59—21no—
771Q8×C59—21no—
772Q8×C59—21no—
773Q8×C59—21no—
774Q8×C59—81no—
775D4×C59—22no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—21no—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—21no—
783D4×C59—42no—
784D4×C59—42no—
785D4×C59—42no—
786D4×C59—42no—
787D4×C59—81no—
788D4×C59—81no—
789D4×C59—81no—
790D4×C59—81no—
791D4×C59H(5,𝔽2)12yes—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
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—81no—
801C2×C4×C59—81no—
802C2×C4×C59—81no—
803C2×C4×C59C22×D411yescharacteristic
804C2×C4×C59C22×D411yescharacteristic
805C2×C4×C59C22×D411yescharacteristic
806C2×C4×C59C22×D411yescharacteristic
807C2×C4×C59C2511yescharacteristic
808C22⋊D59—24no—
809C22⋊D59—22no—
810C22⋊D59—41no—
811C22⋊D59—41no—
812C22⋊D59—41no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—42no—
818C22⋊D59—42no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C22⋊D59—81no—
827C22⋊D59—81no—
828C22⋊D59—81no—
829C22⋊D59—81no—
830C2×Dic59—24no—
831C2×Dic59—21no—
832C2×Dic59—21no—
833C2×Dic59—21no—
834C2×Dic59—21no—
835C2×Dic59—21no—
836C2×Dic59—21no—
837C2×Dic59—41no—
838C2×Dic59—42no—
839C2×Dic59—42no—
840C2×Dic59—42no—
841C2×Dic59—42no—
842C2×Dic59—42no—
843C2×Dic59—42no—
844C2×Dic59—81no—
845C2×Dic59—81no—
846C2×Dic59—81no—
847C2×Dic59C22×D411yescharacteristic
848C2×Dic59C22×D411yescharacteristic
849C2×Dic59C22×D411yescharacteristic
850C2×Dic59C22×D411yescharacteristic
851C2×Dic59C22×D411yescharacteristic
852D236—21no—
853D236—21no—
854D236—21no—
855D236—21no—
856D236—41no—
857D236—41no—
858D236—81no—
859D236—81no—
860D236—81no—
861C4×D59—21no—
862C4×D59—21no—
863C4×D59—21no—
864C4×D59—21no—
865C4×D59—21no—
866C4×D59—21no—
867C4×D59—41no—
868C4×D59—41no—
869C4×D59—42no—
870C4×D59—81no—
871C4×D59—81no—
872C4×D59—81no—
873C4×D59—81no—
874C4×D59—81no—
875Dic118—21no—
876Dic118—21no—
877Dic118—21no—
878Dic118—41no—
879Dic118—42no—
880Dic118—81no—
881Dic118—81no—
882Dic118H(5,𝔽2)12yes—
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#61624—591nomaximal, Sylow
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—22no—
896C22×C59—21no—
897C22×C59—21no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—84no—
910C22×C59—162no—
911C22×C59#57612yes—
912C22×C59C23×D411yescharacteristic
913C2×D59—21no—
914C2×D59—21no—
915C2×D59—21no—
916C2×D59—21no—
917C2×D59—21no—
918C2×D59—21no—
919C2×D59—21no—
920C2×D59—21no—
921C2×D59—21no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—41no—
927C2×D59—41no—
928C2×D59—82no—
929C2×D59—162no—
930C2×D59—162no—
931C2×D59—162no—
932C4×C59—21no—
933C4×C59—21no—
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—22no—
944Dic59—21no—
945Dic59—21no—
946Dic59—21no—
947Dic59—21no—
948Dic59—41no—
949Dic59—41no—
950Dic59—41no—
951Dic59—41no—
952Dic59—41no—
953#3536—591no—
954#3488—591no—
955#3333—591no—
956#3333—591no—
957#3314—591no—
958#3314—591no—
959#3308—591no—
960#3308—591no—
961#3294—591no—
962#3294—591no—
963#3285—591no—
964#3285—591no—
965#3273—591no—
966#3273—591no—
967#3268—591no—
968#3268—591no—
969#3265—591no—
970#3265D5911yescharacteristic, complemented
971#3224—591no—
972#3224—591no—
973#3203—591no—
974#3203—591no—
975#3193—591no—
976#3186—591no—
977#3124—591no—
978#3124—591no—
979#3012—591no—
980#3012—591no—
981#3006—591no—
982C2×#452—591no—
983#2976—591no—
984C2×C59—22no—
985C2×C59—42no—
986C2×C59—41no—
987C2×C59—81no—
988C2×C59—81no—
989C2×C59—81no—
990C2×C59#348411yescharacteristic
991C2×C59C2×#57611yescharacteristic
992C2×C59#358611yescharacteristic
993D59—41no—
994D59—41no—
995D59—41no—
996D59—81no—
997D59—81no—
998C2×H(5,𝔽2)—591no—
999C22×#41—591no—
1000C2×AGL(1,ℤ/8)—591no—
1001C2×AGL(1,ℤ/8)—591no—
1002C2×AGL(1,ℤ/8)—591no—
1003C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1004C2×#135—591no—
1005C2×#135—591no—
1006C22×Q16—591no—
1007C22×SD16C2×D5911yescharacteristic, complemented
1008#562—1181no—
1009#562—1181no—
1010#554—591no—
1011#554—591no—
1012#550—591no—
1013#550—591no—
1014#548—591no—
1015#548—591no—
1016#548—591no—
1017#548C2×D5911yescharacteristic, complemented
1018#547—591no—
1019#547—591no—
1020#546—591no—
1021#546—591no—
1022#546—591no—
1023#546—591no—
1024#546—1181no—
1025#546—1181no—
1026#546—1181no—
1027#546—1181no—
1028D42—591no—
1029D42—1181no—
1030D42—1181no—
1031D42C2×D5911yescharacteristic, complemented
1032#543—1181no—
1033#542—591no—
1034#542—591no—
1035#539—1181no—
1036#538—1181no—
1037#537—591no—
1038#537—591no—
1039#537—591no—
1040#537—1181no—
1041#537—1181no—
1042#535—591no—
1043#535—1181no—
1044#525—591no—
1045#525—1181no—
1046C2×C22⋊Q8—591no—
1047C2×#121—591no—
1048C2×#121—591no—
1049C2×#121—1181no—
1050#520—591no—
1051#496—591no—
1052#496C2×D5911yescharacteristic, complemented
1053#495—591no—
1054#495—591no—
1055#489—591no—
1056#489—591no—
1057#486—591no—
1058#486—591no—
1059#484—591no—
1060#484—591no—
1061#484—591no—
1062#484—591no—
1063#480—591no—
1064#480—591no—
1065#480—591no—
1066#480—591no—
1067#480—591no—
1068#480—591no—
1069#480—591no—
1070#480—591no—
1071#477—591no—
1072#477—591no—
1073#474—591no—
1074#474—591no—
1075#468—591no—
1076#468—591no—
1077#468—591no—
1078#468—591no—
1079#468—591no—
1080#468—591no—
1081#468—591no—
1082#468C2×D5911yescharacteristic, complemented
1083#467—591no—
1084#467—591no—
1085#466—591no—
1086#466—591no—
1087#466—591no—
1088#466—591no—
1089#466—591no—
1090#466C2×D5911yescharacteristic, complemented
1091#464—591no—
1092#464—591no—
1093#464—591no—
1094#464—591no—
1095#463—591no—
1096#463—591no—
1097#463—591no—
1098#463C2×D5911yescharacteristic, complemented
1099#460—591no—
1100#460C2×D5911yescharacteristic, complemented
1101#459—591no—
1102#459—591no—
1103#452—591no—
1104#452—591no—
1105#452—591no—
1106#452—591no—
1107#452—591no—
1108#452—591no—
1109#452—591no—
1110#452—591no—
1111#452—591no—
1112#452—591no—
1113#452—591no—
1114#452—591no—
1115#450—591no—
1116#450—591no—
1117#450—591no—
1118#450C2×D5911yescharacteristic, complemented
1119#449—591no—
1120#449—591no—
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#449—591no—
1125#449—591no—
1126#449C2×D5911yescharacteristic, complemented
1127#448—591no—
1128#448—591no—
1129#448—591no—
1130#448C2×D5911yescharacteristic, complemented
1131#447—591no—
1132#447—591no—
1133#447—591no—
1134#447—591no—
1135#447—591no—
1136#447—591no—
1137#447—591no—
1138#447C2×D5911yescharacteristic, complemented
1139#440—591no—
1140#440—591no—
1141#440—591no—
1142#440C2×D5911yescharacteristic, complemented
1143C4×Q16—591no—
1144C4×Q16—591no—
1145C4×D8—591no—
1146C4×D8—591no—
1147#436—591no—
1148#436—591no—
1149#435—591no—
1150#435—591no—
1151#435—591no—
1152#435C2×D5911yescharacteristic, complemented
1153C8×D4—591no—
1154C8×D4—591no—
1155#433—591no—
1156#433—591no—
1157#417—591no—
1158#417—591no—
1159#417—591no—
1160#417—591no—
1161C2×#103—591no—
1162C2×#102—591no—
1163C2×#102—591no—
1164C2×#102—591no—
1165#408—591no—
1166#408—591no—
1167#407—591no—
1168C2×C22⋊C8—591no—
1169C59#6162411yescharacteristic, complemented, Sylow
1170H(5,𝔽2)—2362no—
1171H(5,𝔽2)—2362no—
1172C2×#41—591no—
1173C2×#41—591no—
1174C2×#41—591no—
1175C2×#41—591no—
1176C2×#41—591no—
1177C2×#41—591no—
1178C2×#41—591no—
1179C2×#41—591no—
1180C2×#41—1181no—
1181C2×#41—1181no—
1182C2×#41—1181no—
1183C2×#41—1181no—
1184C2×#41—1181no—
1185C2×#41—2362no—
1186C2×#41—2362no—
1187C2×#41C22×D5911yescharacteristic
1188C22×Q8—591no—
1189C22×Q8C22×D5911yescharacteristic
1190C22×D4—21no—
1191C22×D4—591no—
1192C22×D4—591no—
1193C22×D4—591no—
1194C22×D4—1181no—
1195C22×D4—1181no—
1196C22×D4—1181no—
1197C22×D4—1181no—
1198C22×D4—1181no—
1199C22×D4—1181no—
1200C22×D4—1181no—
1201C22×D4C22×D5911yescharacteristic
1202C22×D4C22×D5911yescharacteristic
1203C23×C4—591no—
1204C23×C4—1181no—
1205AGL(1,ℤ/8)—42no—
1206AGL(1,ℤ/8)—2362no—
1207AGL(1,ℤ/8)—2362no—
1208AGL(1,ℤ/8)—2362no—
1209#135—2362no—
1210#135—2362no—
1211C2×Q16—591no—
1212C2×Q16—591no—
1213C2×Q16—591no—
1214C2×Q16—591no—
1215C2×Q16—2362no—
1216C2×SD16—42no—
1217C2×SD16—591no—
1218C2×SD16—591no—
1219C2×SD16—591no—
1220C2×SD16—591no—
1221C2×SD16—591no—
1222C2×SD16—591no—
1223C2×SD16C22×D5911yescharacteristic
1224C2×SD16C22×D5911yescharacteristic
1225C2×SD16C22×D5911yescharacteristic
1226C2×SD16C22×D5911yescharacteristic
1227C2×SD16C22×D5911yescharacteristic
1228C2×SD16C22×D5911yescharacteristic
1229C2×D8—591no—
1230C2×D8—591no—
1231C2×D8—591no—
1232C2×D8—591no—
1233C2×D8—591no—
1234C2×D8C22×D5911yescharacteristic
1235C2×D8C22×D5911yescharacteristic
1236C2×D8C22×D5911yescharacteristic
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—591no—
1246C4⋊Q8—591no—
1247#127—591no—
1248#127—1181no—
1249#127—1181no—
1250#127C22×D5911yescharacteristic
1251#126—1181no—
1252#126—1181no—
1253#125—1181no—
1254#125—1181no—
1255#124—21no—
1256#124—591no—
1257#124—591no—
1258#124—591no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124—1181no—
1263#124—1181no—
1264#124C22×D5911yescharacteristic
1265#123—591no—
1266#123—591no—
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—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
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⋊Q8C22×D5911yescharacteristic
1304#121—21no—
1305#121—21no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
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#121C22×D5911yescharacteristic
1345#121C22×D5911yescharacteristic
1346#121C22×D5911yescharacteristic
1347#120—21no—
1348#120—21no—
1349#120—591no—
1350#120—591no—
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×Q8C22×D5911yescharacteristic
1363C4×D4—21no—
1364C4×D4—591no—
1365C4×D4—591no—
1366C4×D4—591no—
1367C4×D4—591no—
1368C4×D4—591no—
1369C4×D4—591no—
1370C4×D4—1181no—
1371C4×D4—1181no—
1372C4×D4—1181no—
1373C4×D4—1181no—
1374C4×D4—1181no—
1375C4×D4—1181no—
1376C4×D4—1181no—
1377C4×D4—1181no—
1378C4×D4—1181no—
1379C4×D4C22×D5911yescharacteristic
1380C4×D4C22×D5911yescharacteristic
1381#117—591no—
1382#117—1181no—
1383C2×C4⋊C4—591no—
1384C2×C4⋊C4—591no—
1385C2×C4⋊C4—591no—
1386C2×C4⋊C4—591no—
1387C2×C4⋊C4—591no—
1388C2×C4⋊C4—1181no—
1389C2×C4⋊C4—1181no—
1390C2×C22⋊C4—1181no—
1391C2×C22⋊C4—1181no—
1392C2×C22⋊C4—1181no—
1393C2×C22⋊C4—1181no—
1394C2×C22⋊C4—1181no—
1395C2×C22⋊C4—1181no—
1396C2×C22⋊C4—1181no—
1397#107—591no—
1398#107—591no—
1399#107—591no—
1400#107—591no—
1401#107—591no—
1402#107—591no—
1403#107—591no—
1404#107C22×D5911yescharacteristic
1405C4⋊C8—591no—
1406C4⋊C8—591no—
1407C4⋊C8—591no—
1408C4⋊C8C22×D5911yescharacteristic
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#103—591no—
1418#103—591no—
1419#103C22×D5911yescharacteristic
1420#103C22×D5911yescharacteristic
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#102—591no—
1436#102—591no—
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⋊C8—591no—
1450C22⋊C8—591no—
1451C22⋊C8C22×D5911yescharacteristic
1452C22⋊C8C22×D5911yescharacteristic
1453#97—591no—
1454#97C22×D5911yescharacteristic
1455C4×C8—591no—
1456C4×C8—591no—
1457C24—21no—
1458C24—21no—
1459C24—591no—
1460C24—1181no—
1461C24—1181no—
1462C24—1181no—
1463#41—41no—
1464#41—41no—
1465#41—1182no—
1466#41—1182no—
1467#41—1182no—
1468#41—1182no—
1469#41—1182no—
1470#41—1182no—
1471#41—4722no—
1472#41—4722no—
1473#41—2361no—
1474#41—2361no—
1475#41—2361no—
1476#41—2361no—
1477#41—2361no—
1478#41—2361no—
1479#41—2361no—
1480#41—2361no—
1481#41—2361no—
1482#41—2361no—
1483#41—2364no—
1484#41—2364no—
1485#41—2364no—
1486C2×Q8—21no—
1487C2×Q8—41no—
1488C2×Q8—41no—
1489C2×Q8—591no—
1490C2×Q8—591no—
1491C2×Q8—591no—
1492C2×Q8—1181no—
1493C2×Q8—1182no—
1494C2×Q8—1181no—
1495C2×Q8—1181no—
1496C2×Q8—2361no—
1497C2×Q8C23×D5911yescharacteristic
1498C2×Q8C23×D5911yescharacteristic
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—82no—
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—1181no—
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—1182no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—4722no—
1543C2×D4—4722no—
1544C2×D4—4722no—
1545C2×D4—2361no—
1546C2×D4—2361no—
1547C2×D4—2361no—
1548C2×D4—2361no—
1549C2×D4—2361no—
1550C2×D4—2364no—
1551C2×D4—2364no—
1552C2×D4—2364no—
1553C2×D4—2364no—
1554C2×D4D4×D5911yescharacteristic
1555C2×D4C23×D5911yescharacteristic
1556C2×D4C23×D5911yescharacteristic
1557C2×D4C23×D5911yescharacteristic
1558C2×D4C23×D5911yescharacteristic
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—591no—
1563C22×C4—591no—
1564C22×C4—591no—
1565C22×C4—591no—
1566C22×C4—591no—
1567C22×C4—591no—
1568C22×C4—1181no—
1569C22×C4—1181no—
1570C22×C4—1181no—
1571C22×C4—1181no—
1572C22×C4—1181no—
1573C22×C4—1181no—
1574C22×C4—1181no—
1575C22×C4—1181no—
1576C22×C4—1181no—
1577C22×C4—1181no—
1578C22×C4—1181no—
1579C22×C4—1181no—
1580C22×C4—1181no—
1581C22×C4—1181no—
1582C22×C4—1181no—
1583C22×C4—1181no—
1584C22×C4—2361no—
1585C22×C4—2361no—
1586C22×C4—2364no—
1587C22×C4C23×D5911yescharacteristic
1588C22×C4C23×D5911yescharacteristic
1589Q16—1182no—
1590Q16—1182no—
1591Q16—2361no—
1592Q16—2361no—
1593SD16—22no—
1594SD16—22no—
1595SD16—41no—
1596SD16—41no—
1597SD16—41no—
1598SD16—41no—
1599SD16—1182no—
1600SD16—1182no—
1601SD16—2361no—
1602SD16—2361no—
1603SD16—2361no—
1604SD16—2361no—
1605D8—22no—
1606D8—41no—
1607D8—41no—
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—591no—
1632C4⋊C4—591no—
1633C4⋊C4—591no—
1634C4⋊C4—591no—
1635C4⋊C4—591no—
1636C4⋊C4—591no—
1637C4⋊C4—591no—
1638C4⋊C4—591no—
1639C4⋊C4—591no—
1640C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1658C4⋊C4C23×D5911yescharacteristic
1659C4⋊C4C23×D5911yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—591no—
1668C22⋊C4—591no—
1669C22⋊C4—591no—
1670C22⋊C4—591no—
1671C22⋊C4—591no—
1672C22⋊C4—591no—
1673C22⋊C4—591no—
1674C22⋊C4—591no—
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—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4D4×D5911yescharacteristic
1701C22⋊C4D4×D5911yescharacteristic
1702C42—21no—
1703C42—591no—
1704C42—1181no—
1705C42—1181no—
1706C42—1181no—
1707C42C23×D5911yescharacteristic
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—42no—
1713C23—42no—
1714C23—42no—
1715C23—81no—
1716C23—81no—
1717C23—81no—
1718C23—591no—
1719C23—591no—
1720C23—591no—
1721C23—1182no—
1722C23—1181no—
1723C23—1181no—
1724C23—4721no—
1725C23—4721no—
1726C23—4721no—
1727C23—4721no—
1728C23—4721no—
1729C23—4721no—
1730C23—2361no—
1731C23—2361no—
1732C23—2362no—
1733C23—2362no—
1734C23—2362no—
1735C23C2×D4×D5911yescharacteristic
1736C23C2×D4×D5911yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—81no—
1742Q8—592no—
1743Q8—1181no—
1744Q8—1181no—
1745Q8—1181no—
1746Q8—4721no—
1747Q8—4721no—
1748Q8—2361no—
1749Q8—2362no—
1750D4—22no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—21no—
1757D4—21no—
1758D4—42no—
1759D4—42no—
1760D4—42no—
1761D4—42no—
1762D4—81no—
1763D4—81no—
1764D4—81no—
1765D4—81no—
1766D4—1184no—
1767D4—1182no—
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—2361no—
1784D4—2361no—
1785D4—2361no—
1786D4—2361no—
1787D4—2361no—
1788D4—2362no—
1789D4—2362no—
1790D4—2362no—
1791D4—2362no—
1792D4—2362no—
1793D4—2362no—
1794D4—2362no—
1795D4—2362no—
1796D4—2362no—
1797D4#1427377212yes—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—81no—
1807C2×C4—81no—
1808C2×C4—81no—
1809C2×C4—591no—
1810C2×C4—591no—
1811C2×C4—591no—
1812C2×C4—591no—
1813C2×C4—591no—
1814C2×C4—1184no—
1815C2×C4—1181no—
1816C2×C4—1181no—
1817C2×C4—1181no—
1818C2×C4—1181no—
1819C2×C4—1181no—
1820C2×C4—1181no—
1821C2×C4—1181no—
1822C2×C4—1181no—
1823C2×C4—1181no—
1824C2×C4—1181no—
1825C2×C4—1181no—
1826C2×C4—1181no—
1827C2×C4—4721no—
1828C2×C4—4721no—
1829C2×C4—4721no—
1830C2×C4—4721no—
1831C2×C4—4721no—
1832C2×C4—4721no—
1833C2×C4—4721no—
1834C2×C4—4721no—
1835C2×C4—2361no—
1836C2×C4—2361no—
1837C2×C4—2362no—
1838C2×C4—2361no—
1839C2×C4—2362no—
1840C2×C4—2362no—
1841C2×C4—2362no—
1842C2×C4—2362no—
1843C2×C4—2362no—
1844C2×C4—2362no—
1845C2×C4C2×D4×D5911yescharacteristic
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—21no—
1861C22—22no—
1862C22—21no—
1863C22—21no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—84no—
1876C22—162no—
1877C22—1181no—
1878C22—1181no—
1879C22—1181no—
1880C22—1181no—
1881C22—1181no—
1882C22—1181no—
1883C22—1181no—
1884C22—1181no—
1885C22—1181no—
1886C22—9442no—
1887C22—9442no—
1888C22—9442no—
1889C22—4722no—
1890C22—2361no—
1891C22—2361no—
1892C22—2361no—
1893C22—2361no—
1894C22—2361no—
1895C22—2361no—
1896C22#1683820612yes—
1897C22C22×D4×D5911yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—21no—
1901C4—21no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—1181no—
1907C4—1181no—
1908C4—1181no—
1909C4—1182no—
1910C4—1181no—
1911C4—1181no—
1912C4—2361no—
1913C4—2361no—
1914C4—2361no—
1915C4—2361no—
1916C4—2361no—
1917C4H(5,𝔽2)×D5911yescharacteristic
1918C4C2×#1427377211yescharacteristic
1919C2—22no—
1920C2—41no—
1921C2—42no—
1922C2—81no—
1923C2—81no—
1924C2—81no—
1925C2—4721no—
1926C2—4721no—
1927C2—2361no—
1928C2—2361no—
1929C2—2361no—
1930C2#2143772411yescharacteristic
1931C2C2×#1683820611yescharacteristic
1932C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3265C2
socleC22×C59C23×D4
hypercenter#3265D59
hypocenterC59#61624
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #21438312C2semidirect
2. #21437756C2semidirect
3. #21436437C2semidirect
4. #21436429C2semidirect
5. #21436182C2semidirect
6. #21436181C2semidirect
7. #21436093C2semidirect
8. #21436089C2semidirect
9. #21435909C2semidirect
10. #21435902C2semidirect
11. #21435833C2semidirect
12. #21435830C2semidirect
13. #21435702C2semidirect
14. #21435701C2semidirect
15. #21435640C2semidirect
16. #21435635C2semidirect
17. #21435591C2semidirect
18. #21435195C2semidirect
19. #21435185C2semidirect
20. #21434995C2semidirect
21. #21434994C2semidirect
22. #21434900C2semidirect
23. #21434843C2semidirect
24. #21434362C2semidirect
25. #21434355C2semidirect
26. #21433401C2semidirect
27. #21433399C2semidirect
28. #21433343C2semidirect
29. C2×#16837561C2semidirect
30. #21433145C2semidirect
31. C59×#3265C2semidirect
32. C2×#14273772C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273748C22semidirect
38. C2×#14273747C22semidirect
39. C22×#11745672C22semidirect
42. #16838112C22semidirect
43. #16838110C22semidirect
46. #16838063C22semidirect
47. #16838061C22semidirect
48. #16838058C22semidirect
49. #16838056C22semidirect
50. #16838052C22semidirect
54. #16838045C22semidirect
57. #16838040C22semidirect
60. D4×C22⋊D59C22semidirect
63. #16838024C22semidirect
64. #16838021C22semidirect
67. #16837982C22semidirect
68. #16837981C22semidirect
69. #16837980C22semidirect
73. #16837965C22semidirect
76. C2×#14273703C22semidirect
79. #121×D59C22semidirect
80. #16837881C22semidirect
81. #16837788C22semidirect
82. #16837784C22semidirect
83. #16837783C22semidirect
84. #16837762C22semidirect
85. #16837760C22semidirect
86. #16837748C22semidirect
87. #16837747C22semidirect
88. #16837739C22semidirect
89. #16837738C22semidirect
90. #16837736C22semidirect
91. #16837736C22semidirect
92. #16837717C22semidirect
93. #16837717C22semidirect
94. #16837716C22semidirect
95. #16837714C22semidirect
96. #16837714C22semidirect
97. #16837714C22semidirect
98. #16837713C22semidirect
99. #16837713C22semidirect
100. #16837698C22semidirect
101. #16837696C22semidirect
102. #16837682C22semidirect
103. #16837680C22semidirect
104. #16837651C22semidirect
105. #16837651C22semidirect
106. #16837648C22semidirect
107. #16837647C22semidirect
108. #16837645C22semidirect
109. #16837645C22semidirect
110. #16837645C22semidirect
111. #16837642C22semidirect
112. #16837641C22semidirect
113. #16837638C22semidirect
114. #16837636C22semidirect
115. #16837636C22semidirect
116. #16837636C22semidirect
117. #16837635C22semidirect
118. #16837627C22semidirect
119. #16837624C22semidirect
120. #16837622C22semidirect
121. #16837621C22semidirect
122. #16837619C22semidirect
123. #16837618C22semidirect
124. #16837615C22semidirect
125. #16837600C22semidirect
126. #16837595C22semidirect
127. #16837594C22semidirect
128. #16837567C22semidirect
129. #16837564C22semidirect
130. #16837562C22semidirect
131. #16837561C22semidirect
132. #16837561C22semidirect
133. #16837561C22semidirect
134. #16837561C22semidirect
135. #16837561C22semidirect
136. #16837561C22semidirect
137. #16837561C22semidirect
138. #16837561C22semidirect
139. #16837561C22semidirect
140. #16837551C22semidirect
141. #16837551C22semidirect
142. #16837551C22semidirect
143. #16837549C22semidirect
145. #16837548C22semidirect
146. #16837546C22semidirect
148. #16837544C22semidirect
149. #16837544C22semidirect
150. #16837543C22semidirect
151. #16837541C22semidirect
152. #16837540C22semidirect
153. #16837537C22semidirect
154. #16837537C22semidirect
155. #16837536C22semidirect
156. #16837536C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837504C22semidirect
161. #16837503C22semidirect
162. #16837499C22semidirect
163. C4×#11745672C22semidirect
164. #16837494C22semidirect
165. D8×Dic59C22semidirect
166. C4×#11745669C22semidirect
167. #16837479C22semidirect
168. #16837478C22semidirect
169. #16837475C22semidirect
170. #16837473C22semidirect
171. #16837470C22semidirect
172. D4×C59⋊C8C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837464C22semidirect
175. #16837462C22semidirect
176. #16837404C22semidirect
177. #16837400C22semidirect
178. #16837400C22semidirect
179. #16837400C22semidirect
180. C2×#14273652C22semidirect
181. C2×#14273648C22semidirect
182. C2×#14273648C22semidirect
183. #102×D59C22semidirect
184. #16837370C22semidirect
185. #16837367C22semidirect
186. #16837364C22semidirect
187. C2×(C2×D59)⋊C8C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C22×SD16×C59C22semidirect
190. C59×#548C22semidirect
191. D42×C59C22semidirect
192. C59×#496C22semidirect
193. C59×#468C22semidirect
194. C59×#466C22semidirect
195. C59×#463C22semidirect
196. C59×#460C22semidirect
197. C59×#450C22semidirect
198. C59×#449C22semidirect
199. C59×#448C22semidirect
200. C59×#447C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
970. #3265D59semidirect
1003. C2×AGL(1,ℤ/8)C2×D59semidirect
1007. C22×SD16C2×D59semidirect
1017. #548C2×D59semidirect
1031. D42C2×D59semidirect
1052. #496C2×D59semidirect
1082. #468C2×D59semidirect
1090. #466C2×D59semidirect
1098. #463C2×D59semidirect
1100. #460C2×D59semidirect
1118. #450C2×D59semidirect
1126. #449C2×D59semidirect
1130. #448C2×D59semidirect
1138. #447C2×D59semidirect
1142. #440C2×D59semidirect
1152. #435C2×D59semidirect
1169. C59#61624semidirect

Maximal subgroups

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

subgroupindex
#214383122
#214377562
#214364372
#214364292
#214361822
#214361812
#214360932
#214360892
#214359092
#214359022
#214358332
#214358302
#214357022
#214357012
#214356402
#214356352
#214355912
#214351952
#214351852
#214349952
#214349942
#214349002
#214348432
#214343622
#214343552
#214334012
#214333992
#214333432
C2×#168375612
#214331452
C59×#32652
#6162459