Finite Group Databasebeta

← #29474815

Subgroups — #29474815

Order 15104.

2146 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438327C211yesmaximal, characteristic, complemented
2#21437746C211yesmaximal, characteristic, complemented
3#21436274C211yesmaximal, characteristic, complemented
4#21436273C211yesmaximal, characteristic, complemented
5#21436267C211yesmaximal, characteristic, complemented
6#21436260C211yesmaximal, characteristic, complemented
7#21436003C211yesmaximal, characteristic, complemented
8#21436002C211yesmaximal, characteristic, complemented
9#21436000C211yesmaximal, characteristic, complemented
10#21435993C211yesmaximal, characteristic, complemented
11#21435791C211yesmaximal, characteristic, complemented
12#21435790C211yesmaximal, characteristic, complemented
13SD16×C22⋊D59C211yesmaximal, characteristic, complemented
14#21435591C211yesmaximal, characteristic, complemented
15#21435589C211yesmaximal, characteristic, complemented
16#21435587C211yesmaximal, characteristic, complemented
17#21435586C211yesmaximal, characteristic, complemented
18#21435156C211yesmaximal, characteristic, complemented
19#21435150C211yesmaximal, characteristic, complemented
20#21434965C211yesmaximal, characteristic, complemented
21#21434962C211yesmaximal, characteristic, complemented
22#21434864C211yesmaximal, characteristic, complemented
23#21434862C211yesmaximal, characteristic, complemented
24#21434385C211yesmaximal, characteristic, complemented
25#21434384C211yesmaximal, characteristic, complemented
26#21433378C211yesmaximal, characteristic, complemented
27#21433377C211yesmaximal, characteristic, complemented
28C2×#16837539C211yesmaximal, characteristic, complemented
29#448×D59C211yesmaximal, characteristic, complemented
30#21433149C211yesmaximal, characteristic, complemented
31D4×SD16×C59C211yesmaximal, characteristic, complemented
32C2×#14273775C2211yescharacteristic, complemented
33C22×Q8×D59C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic, complemented
36C22×#11745670C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38C2×SD16×D59C2211yescharacteristic, complemented
39C2×SD16×D59C2211yescharacteristic, complemented
40#16838141—21no—
41#16838140—21no—
42#16838104C2211yescharacteristic
43#16838102C2211yescharacteristic
44#16838099C2211yescharacteristic
45#16838098C2211yescharacteristic
46#16838067—21no—
47#16838067C2211yescharacteristic, complemented
48Q8×C22⋊D59C2211yescharacteristic, complemented
49#16838065—21no—
50#16838065C2211yescharacteristic, complemented
51#16838064C2211yescharacteristic, complemented
52#16838063C2211yescharacteristic, complemented
53#16838062—21no—
54#16838062C2211yescharacteristic, complemented
55#16838061—21no—
56#16838061C2211yescharacteristic, complemented
57#16838037C2211yescharacteristic
58D4×C22⋊D59—21no—
59D4×C22⋊D59C2211yescharacteristic
60D4×C22⋊D59C2211yescharacteristic
61#16838034—21no—
62#16838006C2211yescharacteristic
63#16838003C2211yescharacteristic
64#16837987—21no—
65#16837984—21no—
66#16837977—21no—
67#16837977C2211yescharacteristic, complemented
68#16837975—21no—
69#16837975C2211yescharacteristic, complemented
70#16837969C2211yescharacteristic
71#16837968C2211yescharacteristic
72#16837962—21no—
73#16837961—21no—
74#16837915—21no—
75#16837915C2211yescharacteristic, complemented
76#16837911—21no—
77#16837911C2211yescharacteristic
78C2×#14273698C2211yescharacteristic
79#121×D59C2211yescharacteristic
80#16837878C2211yescharacteristic, complemented
81#16837789C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837770C2211yescharacteristic, complemented
85#16837769C2211yescharacteristic, complemented
86#16837758C2211yescharacteristic, complemented
87#16837757C2211yescharacteristic, complemented
88#16837746C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic, complemented
93#16837735C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837724C2211yescharacteristic, complemented
98#16837722C2211yescharacteristic, complemented
99#16837721C2211yescharacteristic, complemented
100#16837712C2211yescharacteristic, complemented
101#16837710C2211yescharacteristic, complemented
102#16837709C2211yescharacteristic, complemented
103#16837707C2211yescharacteristic, complemented
104#16837650C2211yescharacteristic, complemented
105#16837647C2211yescharacteristic, complemented
106#16837646C2211yescharacteristic, complemented
107#16837645C2211yescharacteristic, complemented
108#16837638C2211yescharacteristic, complemented
109#16837637C2211yescharacteristic, complemented
110#16837637C2211yescharacteristic, complemented
111#16837636C2211yescharacteristic, complemented
112#16837633C2211yescharacteristic, complemented
113#16837631C2211yescharacteristic, complemented
114#16837630C2211yescharacteristic, complemented
115#16837628C2211yescharacteristic, complemented
116#16837628C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837619C2211yescharacteristic, complemented
119#16837619C2211yescharacteristic, complemented
120#16837618C2211yescharacteristic, complemented
121#16837617C2211yescharacteristic, complemented
122#16837605C2211yescharacteristic, complemented
123#16837605C2211yescharacteristic, complemented
124#16837604C2211yescharacteristic, complemented
125#16837601C2211yescharacteristic, complemented
126#16837600C2211yescharacteristic, complemented
127#16837599C2211yescharacteristic, complemented
128#16837554C2211yescharacteristic, complemented
129#16837553C2211yescharacteristic, complemented
130#16837551C2211yescharacteristic, complemented
131#16837551C2211yescharacteristic, complemented
132#16837550C2211yescharacteristic, complemented
133#16837549C2211yescharacteristic, complemented
134#16837546C2211yescharacteristic, complemented
135#16837546C2211yescharacteristic, complemented
136#16837546C2211yescharacteristic, complemented
137#16837546C2211yescharacteristic, complemented
138#16837546C2211yescharacteristic, complemented
139#16837545C2211yescharacteristic, complemented
140#16837543C2211yescharacteristic, complemented
141#16837542C2211yescharacteristic, complemented
142#16837542C2211yescharacteristic, complemented
143#16837541C2211yescharacteristic, complemented
144#16837541C2211yescharacteristic, complemented
145#16837540C2211yescharacteristic, complemented
146#16837539C2211yescharacteristic, complemented
147#16837539C2211yescharacteristic, complemented
148#16837539C2211yescharacteristic, complemented
149#16837539C2211yescharacteristic, complemented
150#16837539C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837539C2211yescharacteristic, complemented
155#16837539C2211yescharacteristic, complemented
156#16837539C2211yescharacteristic, complemented
157#16837539C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837536C2211yescharacteristic, complemented
160#16837503C2211yescharacteristic, complemented
161#16837502C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164#16837493C2211yescharacteristic, complemented
165C4×#11745660C2211yescharacteristic, complemented
166SD16×Dic59C2211yescharacteristic, complemented
167#16837476C2211yescharacteristic, complemented
168#16837474C2211yescharacteristic, complemented
169#16837473C2211yescharacteristic, complemented
170#16837472C2211yescharacteristic, complemented
171C8×D236C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837462C2211yescharacteristic, complemented
175#16837461C2211yescharacteristic, complemented
176#16837411C2211yescharacteristic, complemented
177#16837409C2211yescharacteristic, complemented
178#16837399C2211yescharacteristic, complemented
179#16837397C2211yescharacteristic, complemented
180C2×#14273652C2211yescharacteristic, complemented
181C2×#14273651C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184#16837368C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C22×SD16×C59C2211yescharacteristic, complemented
189C22×SD16×C59C2211yescharacteristic, complemented
190D4×Q8×C59C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic
192C59×#492C2211yescharacteristic, complemented
193C59×#465C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#461C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#448C2211yescharacteristic, complemented
201C4×SD16×C59C2211yescharacteristic, complemented
202C8×D4×C59C2211yescharacteristic, complemented
203#14273775—42no—
204#14273775—42no—
205C2×#11745689—21no—
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C22×Dic118—21no—
213C22×Dic118C2311yescharacteristic
214C2×Q8×D59—21no—
215C2×Q8×D59—21no—
216C2×Q8×D59—21no—
217C2×Q8×D59—42no—
218C2×Q8×D59—42no—
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C2×Q8×D59C2311yescharacteristic
224C22×C22⋊D59—21no—
225C22×C22⋊D59—21no—
226C22×C22⋊D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C22×C4×D59—21no—
232C22×C4×D59C2311yescharacteristic
233#14273754—42no—
234#14273753—42no—
235C2×#11745660C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745670—42no—
238C2×#11745670C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745670C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745670C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745671C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247SD16×D59—42no—
248SD16×D59—42no—
249SD16×D59—42no—
250C2×D472C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745664C2311yescharacteristic
255C2×#11745659C2311yescharacteristic
256C22×C59⋊C8C2311yescharacteristic
257C2×C8×D59C2311yescharacteristic
258C2×C8×D59C2311yescharacteristic
259C2×C8×D59C2311yescharacteristic
260#14273726—21no—
261#14273726—21no—
262#14273726—21no—
263#14273725—21no—
264#14273725C2311yescharacteristic
265#14273723—21no—
266#14273723—21no—
267#14273723C2311yescharacteristic
268#14273722—21no—
269#14273720—21no—
270#14273720—21no—
271#14273720—21no—
272#14273719C2311yescharacteristic
273#14273718C2311yescharacteristic
274#14273716—21no—
275#14273716C2311yescharacteristic
276#14273715—21no—
277#14273715C2311yescharacteristic
278#14273714—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712D411yescharacteristic
288#14273711—21no—
289#14273710—21no—
290#14273710—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709D411yescharacteristic
295#14273708—21no—
296#14273708—21no—
297#14273708—21no—
298#14273707—21no—
299#14273707C2311yescharacteristic
300#14273706—21no—
301#14273706C2311yescharacteristic
302#14273705—21no—
303#14273705—21no—
304#14273705—21no—
305#14273705—21no—
306#14273705—21no—
307#14273705—21no—
308#14273705—21no—
309#14273705D411yescharacteristic
310#14273704—21no—
311#14273704D411yescharacteristic
312#14273703—21no—
313#14273703—21no—
314#14273703C2311yescharacteristic
315#14273703C2311yescharacteristic
316#14273702—21no—
317#14273702C2311yescharacteristic
318#14273702C2311yescharacteristic
319#14273701—21no—
320#14273701—21no—
321#14273701C2311yescharacteristic
322#14273701C2311yescharacteristic
323#14273701C2311yescharacteristic
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700D411yescharacteristic
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699—21no—
336#14273699—21no—
337#14273699D411yescharacteristic
338#14273698—21no—
339#14273698—21no—
340#14273698—21no—
341#14273698—21no—
342#14273698C2311yescharacteristic
343#14273698C2311yescharacteristic
344#14273698C2311yescharacteristic
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273698C2311yescharacteristic
348#14273698C2311yescharacteristic
349#14273697—21no—
350#14273697—21no—
351#14273697D411yescharacteristic
352#14273696—21no—
353#14273696—21no—
354#14273696—21no—
355#14273696—21no—
356#14273695—21no—
357#14273695—21no—
358#14273695—21no—
359#14273695—21no—
360#14273695—21no—
361#14273695D411yescharacteristic
362Q8×Dic59C2311yescharacteristic
363C4×Dic118—21no—
364C4×Dic118C2311yescharacteristic
365#14273692—21no—
366#14273692C2311yescharacteristic
367C4×D236—21no—
368C4×D236C2311yescharacteristic
369C4×D236C2311yescharacteristic
370D4×Dic59—21no—
371D4×Dic59C2311yescharacteristic
372D4×Dic59C2311yescharacteristic
373#14273689—21no—
374#14273689—21no—
375#14273689—21no—
376C4×C22⋊D59—21no—
377C4×C22⋊D59—21no—
378C4×C22⋊D59—21no—
379C4×C22⋊D59C2311yescharacteristic
380C4×C22⋊D59C2311yescharacteristic
381(C22⋊D59)⋊C4—21no—
382(C22⋊D59)⋊C4—21no—
383(C22⋊D59)⋊C4—21no—
384(C22⋊D59)⋊C4—21no—
385(C22⋊D59)⋊C4—21no—
386#14273686C2311yescharacteristic
387#14273685—21no—
388#14273685C2311yescharacteristic
389#14273685C2311yescharacteristic
390#14273684—21no—
391#14273684C2311yescharacteristic
392C2×C4⋊Dic59C2311yescharacteristic
393C4⋊C4×D59C2311yescharacteristic
394C2×C22⋊Dic59—21no—
395C22⋊C4×D59—21no—
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273659C2311yescharacteristic
402#14273658C2311yescharacteristic
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#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273651C2311yescharacteristic
420#14273651C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
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#14273638C2311yescharacteristic
443#14273637C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C22×Q8×C59C2311yescharacteristic
446C22×Q8×C59C2311yescharacteristic
447C22×D4×C59—21no—
448C22×D4×C59C2311yescharacteristic
449C22×D4×C59C2311yescharacteristic
450C2×SD16×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×SD16×C59C2311yescharacteristic
459C2×SD16×C59C2311yescharacteristic
460C2×SD16×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic
462C22×C8×C59C2311yescharacteristic
463C4⋊Q8×C59—21no—
464C4⋊Q8×C59C2311yescharacteristic
465#127×C59C2311yescharacteristic
466C22⋊Q8×C59—21no—
467C22⋊Q8×C59—21no—
468C22⋊Q8×C59C2311yescharacteristic
469C22⋊Q8×C59C2311yescharacteristic
470#121×C59—21no—
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#106×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59C2×D411yescharacteristic
495C2×Q8×C59—21no—
496C2×Q8×C59—21no—
497C2×Q8×C59—22no—
498C2×Q8×C59—22no—
499C2×Q8×C59—41no—
500C2×Q8×C59—41no—
501C2×Q8×C59C2411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—41no—
511C2×D4×C59—41no—
512C2×D4×C59—41no—
513C2×D4×C59—41no—
514C2×D4×C59—82no—
515C2×D4×C59C2×D411yescharacteristic
516C2×D4×C59C2411yescharacteristic
517C2×D4×C59C2411yescharacteristic
518C2×D4×C59C2411yescharacteristic
519C22×C4×C59—21no—
520C22×C4×C59—21no—
521C22×C4×C59—21no—
522C22×C4×C59C2411yescharacteristic
523C22×C4×C59C2411yescharacteristic
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
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—82no—
540C2×C22⋊D59—82no—
541C2×C22⋊D59—82no—
542C2×C22⋊D59C2×D411yescharacteristic
543C2×C22⋊D59C2×D411yescharacteristic
544C2×C22⋊D59C2×D411yescharacteristic
545C2×C22⋊D59C2×D411yescharacteristic
546C22×Dic59—21no—
547C22×Dic59—21no—
548C22×Dic59—21no—
549C22×Dic59—21no—
550C22×Dic59C2×D411yescharacteristic
551#11745689—22no—
552#11745689—41no—
553#11745689—41no—
554#11745689—41no—
555#11745689—44no—
556Q8×D59—22no—
557Q8×D59—22no—
558Q8×D59—22no—
559Q8×D59—22no—
560Q8×D59—22no—
561Q8×D59—41no—
562Q8×D59—41no—
563Q8×D59—41no—
564Q8×D59—41no—
565Q8×D59—41no—
566Q8×D59—44no—
567Q8×D59—44no—
568Q8×D59—44no—
569D4×D59—41no—
570D4×D59—41no—
571D4×D59—41no—
572D4×D59—41no—
573D4×D59—82no—
574D4×D59—82no—
575#11745685—22no—
576#11745685—41no—
577#11745685—44no—
578#11745685—41no—
579#11745685—41no—
580#11745685—44no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236C2×D411yescharacteristic
586C2×D236C2×D411yescharacteristic
587C2×D236C2411yescharacteristic
588C2×D236C2411yescharacteristic
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—41no—
600C2×C4×D59—41no—
601C2×C4×D59—44no—
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2×D411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×C4×D59C2411yescharacteristic
607C2×Dic118—21no—
608C2×Dic118—22no—
609C2×Dic118—21no—
610C2×Dic118—21no—
611C2×Dic118—21no—
612C2×Dic118—21no—
613C2×Dic118—21no—
614C2×Dic118—41no—
615C2×Dic118—44no—
616C2×Dic118C2×D411yescharacteristic
617C2×Dic118C2411yescharacteristic
618C2×Dic118C2411yescharacteristic
619SD16×C59—22no—
620SD16×C59—22no—
621SD16×C59—22no—
622SD16×C59—41no—
623SD16×C59—41no—
624SD16×C59—41no—
625SD16×C59—41no—
626SD16×C59—41no—
627SD16×C59—41no—
628C2×C8×C59—41no—
629C2×C8×C59—41no—
630C2×C8×C59C2411yescharacteristic
631C2×C8×C59C2411yescharacteristic
632C2×C8×C59C2411yescharacteristic
633C2×C8×C59C2411yescharacteristic
634C4⋊C4×C59—21no—
635C4⋊C4×C59—21no—
636C4⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
648C22⋊C4×C59C2×D411yescharacteristic
649C42×C59—21no—
650C42×C59C2411yescharacteristic
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
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#11745671—22no—
665#11745671—41no—
666#11745671—41no—
667#11745670—22no—
668#11745670—22no—
669#11745670—22no—
670#11745670—41no—
671#11745670—41no—
672#11745670—41no—
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)⋊C4C2×D411yescharacteristic
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
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59C2×D411yescharacteristic
702C4⋊Dic59C2411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704C4⋊Dic59C2411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
718Dic59⋊C4C2×D411yescharacteristic
719Dic59⋊C4C2×D411yescharacteristic
720Dic59⋊C4C2×D411yescharacteristic
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59—21no—
725C4×Dic59—21no—
726C4×Dic59—21no—
727C4×Dic59C2411yescharacteristic
728#11745664—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—
738C8×D59—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—42no—
745C23×C59—81no—
746C23×C59—81no—
747C23×C59—81no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59C22×D411yescharacteristic
751C23×C59C22×D411yescharacteristic
752C22×D59—22no—
753C22×D59—22no—
754C22×D59—21no—
755C22×D59—21no—
756C22×D59—41no—
757C22×D59—42no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59C22×D411yescharacteristic
764C22×D59C22×D411yescharacteristic
765C22×D59C22×D411yescharacteristic
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770Q8×C59—21no—
771Q8×C59—42no—
772Q8×C59—42no—
773Q8×C59H(5,𝔽2)12yes—
774D4×C59—22no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—21no—
780D4×C59—21no—
781D4×C59—42no—
782D4×C59—81no—
783D4×C59—81no—
784D4×C59—81no—
785D4×C59—81no—
786D4×C59—81no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—42no—
797C2×C4×C59—42no—
798C2×C4×C59—81no—
799C2×C4×C59C22×D411yescharacteristic
800C2×C4×C59C22×D411yescharacteristic
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C2511yescharacteristic
804C22⋊D59—22no—
805C22⋊D59—22no—
806C22⋊D59—41no—
807C22⋊D59—41no—
808C22⋊D59—42no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C2×Dic59—21no—
824C2×Dic59—21no—
825C2×Dic59—21no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—41no—
830C2×Dic59—42no—
831C2×Dic59—81no—
832C2×Dic59—81no—
833C2×Dic59—81no—
834C2×Dic59C22×D411yescharacteristic
835C2×Dic59C22×D411yescharacteristic
836C2×Dic59C22×D411yescharacteristic
837C2×Dic59C22×D411yescharacteristic
838C2×Dic59C22×D411yescharacteristic
839D236—22no—
840D236—21no—
841D236—21no—
842D236—21no—
843D236—21no—
844D236—41no—
845D236—42no—
846D236—42no—
847D236—42no—
848D236—81no—
849C4×D59—24no—
850C4×D59—21no—
851C4×D59—21no—
852C4×D59—21no—
853C4×D59—21no—
854C4×D59—21no—
855C4×D59—21no—
856C4×D59—41no—
857C4×D59—41no—
858C4×D59—42no—
859C4×D59—42no—
860C4×D59—42no—
861C4×D59—42no—
862C4×D59—42no—
863C4×D59—42no—
864C4×D59—42no—
865C4×D59—81no—
866C4×D59—81no—
867Dic118—24no—
868Dic118—21no—
869Dic118—21no—
870Dic118—21no—
871Dic118—41no—
872Dic118—42no—
873Dic118—42no—
874Dic118—42no—
875Dic118—42no—
876Dic118—42no—
877Dic118H(5,𝔽2)12yes—
878C8×C59—21no—
879C8×C59—21no—
880C8×C59—21no—
881C8×C59—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884C59⋊C8—21no—
885C59⋊C8—21no—
886#61633—591nomaximal, Sylow
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—41no—
901C22×C59—162no—
902C22×C59—162no—
903C22×C59#57712yes—
904C22×C59C23×D411yescharacteristic
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—44no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—162no—
921C2×D59—162no—
922C2×D59#57712yes—
923C4×C59—22no—
924C4×C59—21no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59C2×H(5,𝔽2)11yescharacteristic
933C4×C59C2×H(5,𝔽2)11yescharacteristic
934Dic59—21no—
935Dic59—22no—
936Dic59—21no—
937Dic59—21no—
938Dic59—21no—
939Dic59—21no—
940Dic59—41no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945#3537—591no—
946#3486—591no—
947#3320—591no—
948#3320—591no—
949#3320—591no—
950#3320—591no—
951#3301—591no—
952#3301—591no—
953#3301—591no—
954#3301—591no—
955D4×SD16—591no—
956D4×SD16—591no—
957D4×SD16—591no—
958D4×SD16D5911yescharacteristic, complemented
959#3265—591no—
960#3265—591no—
961#3265—591no—
962#3265—591no—
963#3221—591no—
964#3221—591no—
965#3200—591no—
966#3200—591no—
967#3188—591no—
968#3188—591no—
969#3126—591no—
970#3126—591no—
971#3010—591no—
972#3010—591no—
973C2×#448—591no—
974C2×#448—591no—
975#2977—591no—
976C2×C59—22no—
977C2×C59—41no—
978C2×C59—81no—
979C2×C59—81no—
980C2×C59—81no—
981C2×C59#348411yescharacteristic
982C2×C59C2×#57711yescharacteristic
983C2×C59C2×#57711yescharacteristic
984D59—22no—
985D59—41no—
986D59—41no—
987D59—81no—
988D59—81no—
989C2×2−1+4—591no—
990C23×Q8—591no—
991C2×AGL(1,ℤ/8)—591no—
992C2×AGL(1,ℤ/8)—591no—
993C22×SD16—591no—
994C22×SD16—591no—
995C22×SD16—591no—
996C22×SD16—591no—
997C22×SD16C2×D5911yescharacteristic, complemented
998C22×SD16C2×D5911yescharacteristic, complemented
999#560—1181no—
1000#560—1181no—
1001#553—591no—
1002#553—591no—
1003#553—591no—
1004#553—591no—
1005D4×Q8—591no—
1006D4×Q8—591no—
1007D4×Q8—591no—
1008D4×Q8—1181no—
1009D4×Q8—1181no—
1010D4×Q8C2×D5911yescharacteristic, complemented
1011#548—591no—
1012#548—591no—
1013#548—591no—
1014#548—591no—
1015#548—1181no—
1016#548—1181no—
1017D42—591no—
1018D42—591no—
1019D42—591no—
1020D42—1181no—
1021D42—1181no—
1022D42C2×D5911yescharacteristic
1023#540—591no—
1024#540—591no—
1025#538—1181no—
1026#538—1181no—
1027#536—591no—
1028#536—591no—
1029#536—1181no—
1030#536—1181no—
1031#535—591no—
1032#535—591no—
1033#534—1181no—
1034#534—1181no—
1035#525—591no—
1036#525—591no—
1037#525—1181no—
1038#525—1181no—
1039C2×#121—591no—
1040C2×#121—591no—
1041#519—591no—
1042#496—591no—
1043#496—591no—
1044#492—591no—
1045#492C2×D5911yescharacteristic, complemented
1046#491—591no—
1047#491—591no—
1048#488—591no—
1049#488—591no—
1050#485—591no—
1051#485—591no—
1052#485—591no—
1053#485—591no—
1054#484—591no—
1055#484—591no—
1056#482—591no—
1057#482—591no—
1058#482—591no—
1059#482—591no—
1060#481—591no—
1061#481—591no—
1062#479—591no—
1063#479—591no—
1064#479—591no—
1065#479—591no—
1066#468—591no—
1067#468—591no—
1068#468—591no—
1069#468—591no—
1070#466—591no—
1071#466—591no—
1072#466—591no—
1073#466—591no—
1074#465—591no—
1075#465—591no—
1076#465—591no—
1077#465—591no—
1078#465—591no—
1079#465—591no—
1080#465C2×D5911yescharacteristic, complemented
1081#465C2×D5911yescharacteristic, complemented
1082#463—591no—
1083#463—591no—
1084#463—591no—
1085#463—591no—
1086#461—591no—
1087#461—591no—
1088#461—591no—
1089#461C2×D5911yescharacteristic, complemented
1090#460—591no—
1091#460—591no—
1092#460—591no—
1093#460C2×D5911yescharacteristic, complemented
1094#450—591no—
1095#450—591no—
1096#450—591no—
1097#450—591no—
1098#450C2×D5911yescharacteristic, complemented
1099#450C2×D5911yescharacteristic, complemented
1100#449—591no—
1101#449—591no—
1102#449—591no—
1103#449—591no—
1104#449—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#448—591no—
1109#448—591no—
1110#448—591no—
1111#448—591no—
1112#448—591no—
1113#448—591no—
1114#448—591no—
1115#448—591no—
1116#448—591no—
1117#448—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#448—591no—
1122#448—591no—
1123#448—591no—
1124#448—591no—
1125#448—591no—
1126#448C2×D5911yescharacteristic, complemented
1127#448C2×D5911yescharacteristic, complemented
1128#447—591no—
1129#447—591no—
1130#440—591no—
1131#440—591no—
1132#440—591no—
1133#440—591no—
1134C4×SD16—591no—
1135C4×SD16—591no—
1136C4×SD16—591no—
1137C4×SD16C2×D5911yescharacteristic, complemented
1138#435—591no—
1139#435—591no—
1140#435—591no—
1141#435—591no—
1142C8×D4—591no—
1143C8×D4—591no—
1144C8×D4—591no—
1145C8×D4C2×D5911yescharacteristic, complemented
1146#433—591no—
1147#433—591no—
1148#419—591no—
1149#419—591no—
1150#416—591no—
1151#416—591no—
1152C2×#103—591no—
1153C2×#103—591no—
1154C2×#103—591no—
1155C2×#103—591no—
1156#408—591no—
1157#408—591no—
1158C2×C22⋊C8—591no—
1159C2×C22⋊C8—591no—
1160C59#6163311yescharacteristic, complemented, Sylow
11612−1+4—2362no—
11622−1+4—2362no—
1163C2×#41—591no—
1164C2×#41—591no—
1165C2×#41—591no—
1166C2×#41—591no—
1167C2×#41—1181no—
1168C2×#41—1181no—
1169C2×#41—1181no—
1170C22×Q8—591no—
1171C22×Q8—591no—
1172C22×Q8—591no—
1173C22×Q8—591no—
1174C22×Q8—591no—
1175C22×Q8—591no—
1176C22×Q8—1181no—
1177C22×Q8—1181no—
1178C22×Q8—1181no—
1179C22×Q8—1181no—
1180C22×Q8—2362no—
1181C22×Q8—2362no—
1182C22×Q8C22×D5911yescharacteristic
1183C22×Q8C22×D5911yescharacteristic
1184C22×D4—21no—
1185C22×D4—591no—
1186C22×D4—591no—
1187C22×D4—1181no—
1188C22×D4—1181no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C22×D4—1181no—
1192C22×D4C22×D5911yescharacteristic
1193C22×D4C22×D5911yescharacteristic
1194C23×C4—591no—
1195C23×C4—1181no—
1196AGL(1,ℤ/8)—2362no—
1197AGL(1,ℤ/8)—2362no—
1198C2×SD16—42no—
1199C2×SD16—42no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—2362no—
1212C2×SD16—2362no—
1213C2×SD16—2362no—
1214C2×SD16—2362no—
1215C2×SD16C22×D5911yescharacteristic
1216C2×SD16C22×D5911yescharacteristic
1217C2×SD16C22×D5911yescharacteristic
1218C2×SD16C22×D5911yescharacteristic
1219C2×SD16C22×D5911yescharacteristic
1220C2×SD16C22×D5911yescharacteristic
1221C2×SD16C22×D5911yescharacteristic
1222C2×SD16C22×D5911yescharacteristic
1223C2×SD16C22×D5911yescharacteristic
1224C2×D8—591no—
1225C2×D8—591no—
1226C2×D8—591no—
1227C2×D8—591no—
1228C2×M16—591no—
1229C2×M16—591no—
1230C22×C8—591no—
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8—591no—
1234C22×C8C22×D5911yescharacteristic
1235C22×C8C22×D5911yescharacteristic
1236C4⋊Q8—21no—
1237C4⋊Q8—591no—
1238C4⋊Q8—1181no—
1239C4⋊Q8—1181no—
1240C4⋊Q8—1181no—
1241C4⋊Q8—1181no—
1242C4⋊Q8C22×D5911yescharacteristic
1243#127—591no—
1244#127—1181no—
1245#127—1181no—
1246#127C22×D5911yescharacteristic
1247#126—1181no—
1248#126—1181no—
1249#126—1181no—
1250#126—1181no—
1251#125—591no—
1252#125—591no—
1253#124—591no—
1254#124—591no—
1255#124—1181no—
1256#124—1181no—
1257#124—1181no—
1258#124—1181no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#123—591no—
1263#123—591no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277C22⋊Q8—21no—
1278C22⋊Q8—21no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8C22×D5911yescharacteristic
1298C22⋊Q8C22×D5911yescharacteristic
1299#121—21no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
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—1181no—
1315#121—1181no—
1316#121—1181no—
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#121C22×D5911yescharacteristic
1334#121C22×D5911yescharacteristic
1335#120—21no—
1336#120—21no—
1337#120—591no—
1338#120—591no—
1339#120—1181no—
1340#120—1181no—
1341#120—1181no—
1342#120—1181no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348#120—1181no—
1349#120—1181no—
1350C4×Q8—591no—
1351C4×Q8—591no—
1352C4×Q8—591no—
1353C4×Q8—1181no—
1354C4×Q8—1181no—
1355C4×Q8C22×D5911yescharacteristic
1356C4×D4—21no—
1357C4×D4—591no—
1358C4×D4—591no—
1359C4×D4—591no—
1360C4×D4—591no—
1361C4×D4—591no—
1362C4×D4—591no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4—1181no—
1367C4×D4—1181no—
1368C4×D4—1181no—
1369C4×D4—1181no—
1370C4×D4—1181no—
1371C4×D4—1181no—
1372C4×D4—1181no—
1373C4×D4—1181no—
1374C4×D4—1181no—
1375C4×D4—1181no—
1376C4×D4C22×D5911yescharacteristic
1377C4×D4C22×D5911yescharacteristic
1378#117—591no—
1379#117—591no—
1380#117—591no—
1381#117—591no—
1382#117—1181no—
1383#117—1181no—
1384C2×C4⋊C4—591no—
1385C2×C4⋊C4—591no—
1386C2×C22⋊C4—1181no—
1387C2×C22⋊C4—1181no—
1388#107—591no—
1389#107—591no—
1390#107—591no—
1391#107—591no—
1392#106—591no—
1393#106—591no—
1394#106—591no—
1395#106C22×D5911yescharacteristic
1396C4⋊C8—591no—
1397C4⋊C8—591no—
1398C4⋊C8—591no—
1399C4⋊C8C22×D5911yescharacteristic
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—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#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
1430#102C22×D5911yescharacteristic
1431#102C22×D5911yescharacteristic
1432C22⋊C8—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8C22×D5911yescharacteristic
1443C22⋊C8C22×D5911yescharacteristic
1444#97—591no—
1445#97—591no—
1446C4×C8—591no—
1447C4×C8C22×D5911yescharacteristic
1448C24—21no—
1449C24—21no—
1450C24—591no—
1451C24—1181no—
1452C24—1181no—
1453#41—1182no—
1454#41—1182no—
1455#41—2361no—
1456#41—2361no—
1457#41—2361no—
1458#41—2364no—
1459#41—2364no—
1460#41—2361no—
1461#41—2361no—
1462#41—2361no—
1463#41—2364no—
1464C2×Q8—21no—
1465C2×Q8—21no—
1466C2×Q8—22no—
1467C2×Q8—22no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—591no—
1471C2×Q8—591no—
1472C2×Q8—591no—
1473C2×Q8—1181no—
1474C2×Q8—1181no—
1475C2×Q8—1181no—
1476C2×Q8—1181no—
1477C2×Q8—1181no—
1478C2×Q8—1182no—
1479C2×Q8—1182no—
1480C2×Q8—1182no—
1481C2×Q8—1181no—
1482C2×Q8—1182no—
1483C2×Q8—1182no—
1484C2×Q8—1182no—
1485C2×Q8—2361no—
1486C2×Q8—2364no—
1487C2×Q8—2361no—
1488C2×Q8—2361no—
1489C2×Q8—2361no—
1490C2×Q8—2361no—
1491C2×Q8—2361no—
1492C2×Q8—2364no—
1493C2×Q8—2364no—
1494C2×Q8—2364no—
1495C2×Q8C23×D5911yescharacteristic
1496C2×Q8C23×D5911yescharacteristic
1497C2×Q8C23×D5911yescharacteristic
1498C2×D4—21no—
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—82no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—591no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—591no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
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—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—4722no—
1537C2×D4—4722no—
1538C2×D4—4722no—
1539C2×D4—4722no—
1540C2×D4—4722no—
1541C2×D4—2361no—
1542C2×D4—2361no—
1543C2×D4—2361no—
1544C2×D4—2361no—
1545C2×D4D4×D5911yescharacteristic
1546C2×D4C23×D5911yescharacteristic
1547C2×D4C23×D5911yescharacteristic
1548C2×D4C23×D5911yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—591no—
1553C22×C4—591no—
1554C22×C4—591no—
1555C22×C4—591no—
1556C22×C4—591no—
1557C22×C4—591no—
1558C22×C4—1181no—
1559C22×C4—1181no—
1560C22×C4—1181no—
1561C22×C4—1181no—
1562C22×C4—1181no—
1563C22×C4—1181no—
1564C22×C4—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—1181no—
1568C22×C4—1181no—
1569C22×C4—1181no—
1570C22×C4—1181no—
1571C22×C4—1181no—
1572C22×C4—2361no—
1573C22×C4—2361no—
1574C22×C4—2364no—
1575C22×C4C23×D5911yescharacteristic
1576C22×C4C23×D5911yescharacteristic
1577SD16—22no—
1578SD16—22no—
1579SD16—22no—
1580SD16—41no—
1581SD16—41no—
1582SD16—41no—
1583SD16—41no—
1584SD16—41no—
1585SD16—41no—
1586SD16—1182no—
1587SD16—1182no—
1588SD16—1182no—
1589SD16—1182no—
1590SD16—1182no—
1591SD16—2361no—
1592SD16—2361no—
1593SD16—2361no—
1594SD16—2361no—
1595SD16—2361no—
1596SD16—2361no—
1597D8—2361no—
1598D8—2361no—
1599D8—2361no—
1600D8—2361no—
1601M16—2361no—
1602M16—2361no—
1603C2×C8—41no—
1604C2×C8—41no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—591no—
1609C2×C8—2361no—
1610C2×C8—2361no—
1611C2×C8—2361no—
1612C2×C8—2361no—
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C2×C8C23×D5911yescharacteristic
1616C2×C8C23×D5911yescharacteristic
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—591no—
1625C4⋊C4—591no—
1626C4⋊C4—591no—
1627C4⋊C4—591no—
1628C4⋊C4—591no—
1629C4⋊C4—591no—
1630C4⋊C4—591no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4—1181no—
1639C4⋊C4—1181no—
1640C4⋊C4—1181no—
1641C4⋊C4—1181no—
1642C4⋊C4—1181no—
1643C4⋊C4—1181no—
1644C4⋊C4—1181no—
1645C4⋊C4—1181no—
1646C4⋊C4D4×D5911yescharacteristic
1647C4⋊C4C23×D5911yescharacteristic
1648C4⋊C4C23×D5911yescharacteristic
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—591no—
1655C22⋊C4—591no—
1656C22⋊C4—591no—
1657C22⋊C4—591no—
1658C22⋊C4—591no—
1659C22⋊C4—591no—
1660C22⋊C4—591no—
1661C22⋊C4—591no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1689C22⋊C4D4×D5911yescharacteristic
1690C42—21no—
1691C42—591no—
1692C42—1181no—
1693C42—1181no—
1694C42—1181no—
1695C42—1181no—
1696C42—1181no—
1697C42—1181no—
1698C42C23×D5911yescharacteristic
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—42no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—591no—
1709C23—591no—
1710C23—591no—
1711C23—1182no—
1712C23—1182no—
1713C23—1181no—
1714C23—1181no—
1715C23—4721no—
1716C23—4721no—
1717C23—4721no—
1718C23—4721no—
1719C23—4721no—
1720C23—2361no—
1721C23—2362no—
1722C23C2×D4×D5911yescharacteristic
1723C23C2×D4×D5911yescharacteristic
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—21no—
1728Q8—21no—
1729Q8—42no—
1730Q8—42no—
1731Q8—592no—
1732Q8—1184no—
1733Q8—1181no—
1734Q8—1181no—
1735Q8—1181no—
1736Q8—2361no—
1737Q8—2362no—
1738Q8—2362no—
1739Q8—2362no—
1740Q8—2362no—
1741Q8—2362no—
1742Q8#1427377212yes—
1743D4—22no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—21no—
1748D4—21no—
1749D4—21no—
1750D4—42no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754D4—81no—
1755D4—81no—
1756D4—1182no—
1757D4—1182no—
1758D4—1182no—
1759D4—1181no—
1760D4—1181no—
1761D4—1181no—
1762D4—1181no—
1763D4—4721no—
1764D4—4721no—
1765D4—4721no—
1766D4—4721no—
1767D4—4721no—
1768D4—4721no—
1769D4—4721no—
1770D4—4721no—
1771D4—4721no—
1772D4—4721no—
1773D4—4721no—
1774D4—2361no—
1775D4—2362no—
1776D4—2362no—
1777D4—2362no—
1778D4—2361no—
1779D4—2361no—
1780D4—2362no—
1781D4—2362no—
1782D4—2362no—
1783D4—2362no—
1784D4—2362no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—42no—
1795C2×C4—42no—
1796C2×C4—81no—
1797C2×C4—591no—
1798C2×C4—591no—
1799C2×C4—591no—
1800C2×C4—591no—
1801C2×C4—591no—
1802C2×C4—1184no—
1803C2×C4—1181no—
1804C2×C4—1181no—
1805C2×C4—1181no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—4721no—
1816C2×C4—4721no—
1817C2×C4—4721no—
1818C2×C4—4721no—
1819C2×C4—4721no—
1820C2×C4—2361no—
1821C2×C4—2361no—
1822C2×C4—2362no—
1823C2×C4—2362no—
1824C2×C4—2362no—
1825C2×C4—2362no—
1826C2×C4—2362no—
1827C2×C4—2362no—
1828C2×C4—2362no—
1829C2×C4—2361no—
1830C2×C4—2362no—
1831C2×C4C2×D4×D5911yescharacteristic
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C2×D4×D5911yescharacteristic
1835C2×C4C24×D5911yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C8—1181no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—162no—
1859C22—162no—
1860C22—592no—
1861C22—1181no—
1862C22—1181no—
1863C22—1181no—
1864C22—1181no—
1865C22—1181no—
1866C22—1181no—
1867C22—1181no—
1868C22—1181no—
1869C22—9442no—
1870C22—9442no—
1871C22—2364no—
1872C22—2361no—
1873C22—2361no—
1874C22—2361no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22#1683820812yes—
1879C22C22×D4×D5911yescharacteristic
1880C4—21no—
1881C4—21no—
1882C4—22no—
1883C4—21no—
1884C4—21no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—1181no—
1890C4—1181no—
1891C4—1181no—
1892C4—1182no—
1893C4—1181no—
1894C4—1181no—
1895C4—2361no—
1896C4—2361no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4H(5,𝔽2)×D5911yescharacteristic
1901C4C2×#1427377211yescharacteristic
1902C2—22no—
1903C2—41no—
1904C2—81no—
1905C2—81no—
1906C2—81no—
1907C2—1182no—
1908C2—4721no—
1909C2—4721no—
1910C2—2361no—
1911C2—2361no—
1912C2#2143772411yescharacteristic
1913C2#577×D5911yescharacteristic
1914C2C2×#1683820811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingD4×SD16×C59C2
socleC22×C59C23×D4
hypercenterD4×SD16D59
hypocenterC59#61633
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×SD16

Complements

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

NH ≅ G/Ntype
1. #21438327C2semidirect
2. #21437746C2semidirect
3. #21436274C2semidirect
4. #21436273C2semidirect
5. #21436267C2semidirect
6. #21436260C2semidirect
7. #21436003C2semidirect
8. #21436002C2semidirect
9. #21436000C2semidirect
10. #21435993C2semidirect
11. #21435791C2semidirect
12. #21435790C2semidirect
13. SD16×C22⋊D59C2semidirect
14. #21435591C2semidirect
15. #21435589C2semidirect
16. #21435587C2semidirect
17. #21435586C2semidirect
18. #21435156C2semidirect
19. #21435150C2semidirect
20. #21434965C2semidirect
21. #21434962C2semidirect
22. #21434864C2semidirect
23. #21434862C2semidirect
24. #21434385C2semidirect
25. #21434384C2semidirect
26. #21433378C2semidirect
27. #21433377C2semidirect
28. C2×#16837539C2semidirect
29. #448×D59C2semidirect
30. #21433149C2semidirect
31. D4×SD16×C59C2semidirect
32. C2×#14273775C22semidirect
33. C22×Q8×D59C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273753C22semidirect
36. C22×#11745670C22semidirect
37. C2×SD16×D59C22semidirect
38. C2×SD16×D59C22semidirect
39. C2×SD16×D59C22semidirect
47. #16838067C22semidirect
48. Q8×C22⋊D59C22semidirect
50. #16838065C22semidirect
51. #16838064C22semidirect
52. #16838063C22semidirect
54. #16838062C22semidirect
56. #16838061C22semidirect
67. #16837977C22semidirect
69. #16837975C22semidirect
75. #16837915C22semidirect
80. #16837878C22semidirect
81. #16837789C22semidirect
82. #16837788C22semidirect
83. #16837773C22semidirect
84. #16837770C22semidirect
85. #16837769C22semidirect
86. #16837758C22semidirect
87. #16837757C22semidirect
88. #16837746C22semidirect
89. #16837744C22semidirect
90. #16837741C22semidirect
91. #16837740C22semidirect
92. #16837736C22semidirect
93. #16837735C22semidirect
94. #16837728C22semidirect
95. #16837725C22semidirect
96. #16837725C22semidirect
97. #16837724C22semidirect
98. #16837722C22semidirect
99. #16837721C22semidirect
100. #16837712C22semidirect
101. #16837710C22semidirect
102. #16837709C22semidirect
103. #16837707C22semidirect
104. #16837650C22semidirect
105. #16837647C22semidirect
106. #16837646C22semidirect
107. #16837645C22semidirect
108. #16837638C22semidirect
109. #16837637C22semidirect
110. #16837637C22semidirect
111. #16837636C22semidirect
112. #16837633C22semidirect
113. #16837631C22semidirect
114. #16837630C22semidirect
115. #16837628C22semidirect
116. #16837628C22semidirect
117. #16837628C22semidirect
118. #16837619C22semidirect
119. #16837619C22semidirect
120. #16837618C22semidirect
121. #16837617C22semidirect
122. #16837605C22semidirect
123. #16837605C22semidirect
124. #16837604C22semidirect
125. #16837601C22semidirect
126. #16837600C22semidirect
127. #16837599C22semidirect
128. #16837554C22semidirect
129. #16837553C22semidirect
130. #16837551C22semidirect
131. #16837551C22semidirect
132. #16837550C22semidirect
133. #16837549C22semidirect
134. #16837546C22semidirect
135. #16837546C22semidirect
136. #16837546C22semidirect
137. #16837546C22semidirect
138. #16837546C22semidirect
139. #16837545C22semidirect
140. #16837543C22semidirect
141. #16837542C22semidirect
142. #16837542C22semidirect
143. #16837541C22semidirect
144. #16837541C22semidirect
145. #16837540C22semidirect
146. #16837539C22semidirect
147. #16837539C22semidirect
148. #16837539C22semidirect
149. #16837539C22semidirect
150. #16837539C22semidirect
151. #16837539C22semidirect
152. #16837539C22semidirect
153. #16837539C22semidirect
154. #16837539C22semidirect
155. #16837539C22semidirect
156. #16837539C22semidirect
157. #16837539C22semidirect
158. #16837537C22semidirect
159. #16837536C22semidirect
160. #16837503C22semidirect
161. #16837502C22semidirect
162. #16837500C22semidirect
163. #16837499C22semidirect
164. #16837493C22semidirect
165. C4×#11745660C22semidirect
166. SD16×Dic59C22semidirect
167. #16837476C22semidirect
168. #16837474C22semidirect
169. #16837473C22semidirect
170. #16837472C22semidirect
171. C8×D236C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837462C22semidirect
175. #16837461C22semidirect
176. #16837411C22semidirect
177. #16837409C22semidirect
178. #16837399C22semidirect
179. #16837397C22semidirect
180. C2×#14273652C22semidirect
181. C2×#14273651C22semidirect
182. #103×D59C22semidirect
183. #103×D59C22semidirect
184. #16837368C22semidirect
185. #16837367C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C22×SD16×C59C22semidirect
189. C22×SD16×C59C22semidirect
190. D4×Q8×C59C22semidirect
192. C59×#492C22semidirect
193. C59×#465C22semidirect
194. C59×#465C22semidirect
195. C59×#461C22semidirect
196. C59×#460C22semidirect
197. C59×#450C22semidirect
198. C59×#450C22semidirect
199. C59×#448C22semidirect
200. C59×#448C22semidirect
201. C4×SD16×C59C22semidirect
202. C8×D4×C59C22semidirect
958. D4×SD16D59semidirect
997. C22×SD16C2×D59semidirect
998. C22×SD16C2×D59semidirect
1010. D4×Q8C2×D59semidirect
1045. #492C2×D59semidirect
1080. #465C2×D59semidirect
1081. #465C2×D59semidirect
1089. #461C2×D59semidirect
1093. #460C2×D59semidirect
1098. #450C2×D59semidirect
1099. #450C2×D59semidirect
1126. #448C2×D59semidirect
1127. #448C2×D59semidirect
1137. C4×SD16C2×D59semidirect
1145. C8×D4C2×D59semidirect
1160. C59#61633semidirect

Maximal subgroups

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

subgroupindex
#214383272
#214377462
#214362742
#214362732
#214362672
#214362602
#214360032
#214360022
#214360002
#214359932
#214357912
#214357902
SD16×C22⋊D592
#214355912
#214355892
#214355872
#214355862
#214351562
#214351502
#214349652
#214349622
#214348642
#214348622
#214343852
#214343842
#214333782
#214333772
C2×#168375392
#448×D592
#214331492
D4×SD16×C592
#6163359