Finite Group Databasebeta

← #29470743

Subgroups — #29470743

Order 15104.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437689C211yesmaximal, characteristic, complemented
2#21437180C211yesmaximal, characteristic, complemented
3#21437041C211yesmaximal, characteristic, complemented
4#21436858C211yesmaximal, characteristic, complemented
5#21436849C211yesmaximal, characteristic, complemented
6#21436635C211yesmaximal, characteristic, complemented
7#21436575C211yesmaximal, characteristic, complemented
8#21436492C211yesmaximal, characteristic, complemented
9#21436237C211yesmaximal, characteristic, complemented
10#21436201C211yesmaximal, characteristic, complemented
11#21436132C211yesmaximal, characteristic, complemented
12#21436096C211yesmaximal, characteristic, complemented
13#21435992C211yesmaximal, characteristic, complemented
14#21435946C211yesmaximal, characteristic, complemented
15#21435799C211yesmaximal, characteristic, complemented
16#21435632C211yesmaximal, characteristic, complemented
17#21435587C211yesmaximal, characteristic, complemented
18#21434819C211yesmaximal, characteristic, complemented
19#21434795C211yesmaximal, characteristic, complemented
20#21434788C211yesmaximal, characteristic, complemented
21#21434263C211yesmaximal, characteristic, complemented
22#21434241C211yesmaximal, characteristic, complemented
23#21434234C211yesmaximal, characteristic, complemented
24#21434205C211yesmaximal, characteristic, complemented
25#21434199C211yesmaximal, characteristic, complemented
26#21434187C211yesmaximal, characteristic, complemented
27#21433110C211yesmaximal, characteristic, complemented
28C4×#14273753C211yesmaximal, characteristic, complemented
29#21432894C211yesmaximal, characteristic, complemented
30C2×#16837502C211yesmaximal, characteristic, complemented
31C59×#3481C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic
33C2×#14273747C2211yescharacteristic
34C22×#11745670C2211yescharacteristic
35#16838137C2211yescharacteristic, complemented
36#16838135—21no—
37#16838130C2211yescharacteristic, complemented
38#16838124—21no—
39#16838122C2211yescharacteristic, complemented
40#16838101—21no—
41#16838101—21no—
42#16838098C2211yescharacteristic
43#16838098C2211yescharacteristic, complemented
44#16838073C2211yescharacteristic, complemented
45#16838061C2211yescharacteristic
46#16838061C2211yescharacteristic, complemented
47#16837952C2211yescharacteristic, complemented
48#16837948—21no—
49#16837936C2211yescharacteristic, complemented
50#16837936C2211yescharacteristic, complemented
51#16837930—21no—
52#16837930—21no—
53C4×#11745685C2211yescharacteristic, complemented
54C4×#11745685C2211yescharacteristic, complemented
55#16837870—21no—
56C2×C4×Dic118C2211yescharacteristic, complemented
57#16837812C2211yescharacteristic, complemented
58#16837808C2211yescharacteristic, complemented
59#16837801C2211yescharacteristic, complemented
60#16837792C2211yescharacteristic, complemented
61#16837789C2211yescharacteristic
62#16837784C2211yescharacteristic, complemented
63#16837768C2211yescharacteristic, complemented
64#16837766C2211yescharacteristic
65#16837764C2211yescharacteristic, complemented
66#16837761C2211yescharacteristic, complemented
67#16837759C2211yescharacteristic, complemented
68#16837756C2211yescharacteristic, complemented
69#16837743C2211yescharacteristic, complemented
70#16837740C2211yescharacteristic, complemented
71#16837735C2211yescharacteristic, complemented
72#16837732C2211yescharacteristic, complemented
73#16837726C2211yescharacteristic, complemented
74#16837723C2211yescharacteristic
75#16837723C2211yescharacteristic, complemented
76#16837723C2211yescharacteristic, complemented
77#16837720C2211yescharacteristic, complemented
78#16837720C2211yescharacteristic, complemented
79#16837718C2211yescharacteristic
80#16837715C2211yescharacteristic, complemented
81#16837709C2211yescharacteristic, complemented
82#16837706C2211yescharacteristic, complemented
83#16837706C2211yescharacteristic, complemented
84#16837706C2211yescharacteristic, complemented
85#16837702C2211yescharacteristic
86#16837702C2211yescharacteristic
87#16837702C2211yescharacteristic, complemented
88#16837699C2211yescharacteristic, complemented
89#16837692C2211yescharacteristic
90#16837692C2211yescharacteristic, complemented
91#16837684C2211yescharacteristic, complemented
92#16837679C2211yescharacteristic, complemented
93#16837658C2211yescharacteristic, complemented
94#16837653C2211yescharacteristic
95#16837650C2211yescharacteristic, complemented
96#16837646C2211yescharacteristic
97#16837636C2211yescharacteristic
98#16837636C2211yescharacteristic
99#16837636C2211yescharacteristic, complemented
100#16837636C2211yescharacteristic, complemented
101#16837633C2211yescharacteristic, complemented
102#16837633C2211yescharacteristic, complemented
103#16837629C2211yescharacteristic, complemented
104#16837629C2211yescharacteristic, complemented
105#16837624C2211yescharacteristic, complemented
106#16837621C2211yescharacteristic, complemented
107#16837621C2211yescharacteristic, complemented
108#16837621C2211yescharacteristic, complemented
109#16837617C2211yescharacteristic
110#16837617C2211yescharacteristic
111#16837617C2211yescharacteristic, complemented
112#16837614C2211yescharacteristic, complemented
113#16837599C2211yescharacteristic
114#16837597C2211yescharacteristic
115#16837597C2211yescharacteristic, complemented
116#16837594C2211yescharacteristic
117#16837564C2211yescharacteristic
118#16837562C2211yescharacteristic, complemented
119#16837557C2211yescharacteristic, complemented
120#16837553C2211yescharacteristic
121#16837547C2211yescharacteristic
122#16837545C2211yescharacteristic
123#16837545C2211yescharacteristic, complemented
124#16837545C2211yescharacteristic, complemented
125#16837540C2211yescharacteristic
126#16837536C2211yescharacteristic
127#16837536C2211yescharacteristic
128#16837536C2211yescharacteristic
129#16837533C2211yescharacteristic, complemented
130#16837533C2211yescharacteristic, complemented
131#16837512C2211yescharacteristic
132#16837512C2211yescharacteristic
133#16837512C2211yescharacteristic
134#16837512C2211yescharacteristic, complemented
135#16837512C2211yescharacteristic, complemented
136#16837512C2211yescharacteristic, complemented
137#16837512C2211yescharacteristic, complemented
138#16837507C2211yescharacteristic, complemented
139#16837507C2211yescharacteristic, complemented
140#16837507C2211yescharacteristic, complemented
141#16837502C2211yescharacteristic
142#16837502C2211yescharacteristic
143#16837502C2211yescharacteristic
144#16837502C2211yescharacteristic
145#16837502C2211yescharacteristic
146#16837502C2211yescharacteristic, complemented
147#16837502C2211yescharacteristic, complemented
148#16837502C2211yescharacteristic, complemented
149#16837502C2211yescharacteristic, complemented
150#16837502C2211yescharacteristic, complemented
151#16837502C2211yescharacteristic, complemented
152#16837500C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154#16837500C2211yescharacteristic, complemented
155C4×#11745670C2211yescharacteristic
156C4×#11745670C2211yescharacteristic, complemented
157C4×#11745669C2211yescharacteristic
158C4×#11745669C2211yescharacteristic, complemented
159#16837474C2211yescharacteristic
160#16837474C2211yescharacteristic
161#16837474C2211yescharacteristic, complemented
162#16837474C2211yescharacteristic, complemented
163D4×C59⋊C8C2211yescharacteristic, complemented
164D4×C59⋊C8C2211yescharacteristic, complemented
165#16837459C2211yescharacteristic, complemented
166#16837459C2211yescharacteristic, complemented
167#16837459C2211yescharacteristic, complemented
168#16837442C2211yescharacteristic, complemented
169#16837438C2211yescharacteristic, complemented
170C2×#14273660C2211yescharacteristic, complemented
171#16837407C2211yescharacteristic
172#16837401C2211yescharacteristic, complemented
173#16837398C2211yescharacteristic
174#16837396C2211yescharacteristic, complemented
175C2×#14273650C2211yescharacteristic, complemented
176C2×#14273648C2211yescharacteristic
177C4×#11745664C2211yescharacteristic, complemented
178C2×#14273638C2211yescharacteristic, complemented
179C2×#14273638C2211yescharacteristic, complemented
180C59×#559C2211yescharacteristic
181C59×#554C2211yescharacteristic
182C59×#554C2211yescharacteristic
183C59×#553—21no—
184C59×#553C2211yescharacteristic
185C59×#553C2211yescharacteristic
186C59×#551—21no—
187C59×#551—21no—
188C59×#546—21no—
189C59×#546C2211yescharacteristic
190C59×#546C2211yescharacteristic
191D42×C59C2211yescharacteristic
192C59×#532C2211yescharacteristic
193C59×#529—21no—
194C59×#529C2211yescharacteristic
195C59×#529C2211yescharacteristic
196C59×#525—21no—
197C59×#525—21no—
198C4×#41×C59C2211yescharacteristic
199C4×#41×C59C2211yescharacteristic
200C2×C4×D4×C59—21no—
201C2×C4×D4×C59C2211yescharacteristic
202C2×C4×D4×C59C2211yescharacteristic
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C22×Dic118C2311yescharacteristic
207#14273753—24no—
208#14273747—24no—
209C2×#11745672C2311yescharacteristic
210C2×#11745672C2311yescharacteristic
211C2×#11745670—24no—
212C2×#11745670C2311yescharacteristic
213C2×#11745670C2311yescharacteristic
214C2×#11745670C2311yescharacteristic
215C2×#11745670C2311yescharacteristic
216C2×#11745670C2311yescharacteristic
217C2×#11745670C2311yescharacteristic
218C2×#11745671C2311yescharacteristic
219C2×#11745671C2311yescharacteristic
220C2×#11745669C2311yescharacteristic
221C2×#11745669C2311yescharacteristic
222C2×#11745669C2311yescharacteristic
223C2×#11745669C2311yescharacteristic
224C2×#11745669C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745664C2311yescharacteristic
227C2×#11745664C2311yescharacteristic
228C22×C59⋊C8C2311yescharacteristic
229C22×C59⋊C8C2311yescharacteristic
230C22×C59⋊C8C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232#14273727C2311yescharacteristic
233#14273725—21no—
234#14273724C2311yescharacteristic
235#14273723—21no—
236#14273722—21no—
237#14273722—21no—
238#14273721—21no—
239#14273721—21no—
240#14273720—21no—
241#14273720—21no—
242#14273719C2311yescharacteristic
243#14273719C2311yescharacteristic
244#14273717—21no—
245#14273717—21no—
246#14273716—21no—
247#14273715—21no—
248#14273715C2311yescharacteristic
249#14273715C2311yescharacteristic
250#14273714—21no—
251#14273713—21no—
252#14273713—21no—
253#14273712—21no—
254#14273712—21no—
255#14273710—21no—
256#14273710—21no—
257#14273709—21no—
258#14273709—21no—
259#14273706C2311yescharacteristic
260#14273706C2311yescharacteristic
261#14273705—21no—
262#14273705—21no—
263#14273701—21no—
264#14273701C2311yescharacteristic
265#14273701C2311yescharacteristic
266#14273701C2311yescharacteristic
267#14273701C2311yescharacteristic
268#14273700—21no—
269#14273700—21no—
270#14273699—21no—
271#14273699—21no—
272#14273699—21no—
273#14273699—21no—
274C4×Dic118—21no—
275C4×Dic118—21no—
276C4×Dic118C2311yescharacteristic
277C4×Dic118C2311yescharacteristic
278C4×Dic118C2311yescharacteristic
279C4×Dic118C2311yescharacteristic
280C4×Dic118C2311yescharacteristic
281C4×Dic118C2311yescharacteristic
282#14273692—21no—
283#14273692—21no—
284C4×D236—21no—
285C4×D236C2311yescharacteristic
286C4×D236C2311yescharacteristic
287C4×D236C2311yescharacteristic
288C4×D236C2311yescharacteristic
289#14273689—21no—
290#14273689—21no—
291C4×C22⋊D59—21no—
292C4×C22⋊D59—21no—
293C4×C22⋊D59—21no—
294C4×C22⋊D59—21no—
295C4×C22⋊D59—21no—
296C4×C22⋊D59—21no—
297(C22⋊D59)⋊C4—21no—
298(C22⋊D59)⋊C4—21no—
299(C22⋊D59)⋊C4—21no—
300(C22⋊D59)⋊C4—21no—
301#14273686C2311yescharacteristic
302#14273686C2311yescharacteristic
303#14273684—21no—
304#14273684—21no—
305#14273684—21no—
306#14273684—21no—
307C2×C4⋊Dic59C2311yescharacteristic
308C2×Dic59⋊C4—21no—
309C2×C4×Dic59—21no—
310C42×D59—21no—
311C42×D59—21no—
312#14273660C2311yescharacteristic
313#14273660C2311yescharacteristic
314#14273660C2311yescharacteristic
315#14273660C2311yescharacteristic
316#14273660C2311yescharacteristic
317#14273660C2311yescharacteristic
318#14273660C2311yescharacteristic
319#14273660C2311yescharacteristic
320#14273658C2311yescharacteristic
321#14273658C2311yescharacteristic
322#14273658C2311yescharacteristic
323#14273658C2311yescharacteristic
324#14273658C2311yescharacteristic
325#14273658C2311yescharacteristic
326#14273658C2311yescharacteristic
327#14273658C2311yescharacteristic
328C4⋊(C59⋊C8)C2311yescharacteristic
329C4⋊(C59⋊C8)C2311yescharacteristic
330C4⋊(C59⋊C8)C2311yescharacteristic
331C4⋊(C59⋊C8)C2311yescharacteristic
332C4⋊(C59⋊C8)C2311yescharacteristic
333C4⋊(C59⋊C8)C2311yescharacteristic
334#14273651C2311yescharacteristic
335#14273651C2311yescharacteristic
336#14273651C2311yescharacteristic
337#14273651C2311yescharacteristic
338#14273650C2311yescharacteristic
339#14273650C2311yescharacteristic
340#14273650C2311yescharacteristic
341#14273650C2311yescharacteristic
342#14273650C2311yescharacteristic
343#14273650C2311yescharacteristic
344#14273650C2311yescharacteristic
345#14273650C2311yescharacteristic
346#14273648C2311yescharacteristic
347#14273648C2311yescharacteristic
348#14273648C2311yescharacteristic
349#14273648C2311yescharacteristic
350#14273648C2311yescharacteristic
351#14273648C2311yescharacteristic
352#14273648C2311yescharacteristic
353#14273648C2311yescharacteristic
354#14273648C2311yescharacteristic
355#14273648C2311yescharacteristic
356#14273648C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273647C2311yescharacteristic
359#14273647C2311yescharacteristic
360#14273647C2311yescharacteristic
361#14273647C2311yescharacteristic
362#14273647C2311yescharacteristic
363#14273647C2311yescharacteristic
364#14273647C2311yescharacteristic
365#14273647C2311yescharacteristic
366C22⋊(C59⋊C8)C2311yescharacteristic
367C22⋊(C59⋊C8)C2311yescharacteristic
368C22⋊(C59⋊C8)C2311yescharacteristic
369C22⋊(C59⋊C8)C2311yescharacteristic
370C22⋊(C59⋊C8)C2311yescharacteristic
371C22⋊(C59⋊C8)C2311yescharacteristic
372#14273638C2311yescharacteristic
373#14273638C2311yescharacteristic
374#14273638C2311yescharacteristic
375#14273638C2311yescharacteristic
376#14273638C2311yescharacteristic
377#14273638C2311yescharacteristic
378#14273638C2311yescharacteristic
379#14273638C2311yescharacteristic
380C4×C59⋊C8C2311yescharacteristic
381C4×C59⋊C8C2311yescharacteristic
382C2×#41×C59—21no—
383C2×#41×C59D411yescharacteristic
384C2×#41×C59C2311yescharacteristic
385C22×D4×C59—21no—
386C22×D4×C59C2311yescharacteristic
387C22×D4×C59C2311yescharacteristic
388C23×C4×C59—21no—
389C23×C4×C59—21no—
390C4⋊Q8×C59C2311yescharacteristic
391#127×C59C2311yescharacteristic
392#126×C59—21no—
393#126×C59—21no—
394#126×C59—21no—
395#126×C59—21no—
396#125×C59—21no—
397#125×C59C2311yescharacteristic
398#125×C59C2311yescharacteristic
399#124×C59—21no—
400#124×C59—21no—
401#124×C59C2311yescharacteristic
402#124×C59C2311yescharacteristic
403#123×C59—21no—
404#123×C59—21no—
405#123×C59—21no—
406#123×C59—21no—
407#123×C59—21no—
408#123×C59—21no—
409#123×C59—21no—
410#123×C59—21no—
411C22⋊Q8×C59—21no—
412C22⋊Q8×C59—21no—
413C22⋊Q8×C59—21no—
414C22⋊Q8×C59—21no—
415C22⋊Q8×C59—21no—
416C22⋊Q8×C59C2311yescharacteristic
417C22⋊Q8×C59C2311yescharacteristic
418#121×C59—21no—
419#121×C59—21no—
420#121×C59—21no—
421#121×C59—21no—
422#121×C59—21no—
423#121×C59—21no—
424#121×C59C2311yescharacteristic
425#121×C59C2311yescharacteristic
426#121×C59C2311yescharacteristic
427#121×C59C2311yescharacteristic
428#120×C59—21no—
429#120×C59—21no—
430#120×C59—21no—
431#120×C59—21no—
432C4×Q8×C59D411yescharacteristic
433C4×Q8×C59C2311yescharacteristic
434C4×Q8×C59C2311yescharacteristic
435C4×Q8×C59C2311yescharacteristic
436C4×D4×C59—21no—
437C4×D4×C59—21no—
438C4×D4×C59—21no—
439C4×D4×C59—21no—
440C4×D4×C59—21no—
441C4×D4×C59—21no—
442C4×D4×C59—21no—
443C4×D4×C59—21no—
444C4×D4×C59—21no—
445C4×D4×C59—21no—
446C4×D4×C59—21no—
447C4×D4×C59—21no—
448C4×D4×C59—21no—
449C4×D4×C59D411yescharacteristic
450C4×D4×C59D411yescharacteristic
451C4×D4×C59D411yescharacteristic
452C4×D4×C59C2311yescharacteristic
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463#117×C59—21no—
464#117×C59—21no—
465#117×C59—21no—
466#117×C59D411yescharacteristic
467#117×C59D411yescharacteristic
468#117×C59D411yescharacteristic
469#117×C59C2311yescharacteristic
470C2×C4⋊C4×C59—21no—
471C2×C4⋊C4×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473C2×C22⋊C4×C59—21no—
474C2×C22⋊C4×C59—21no—
475C2×C22⋊C4×C59—21no—
476C2×C22⋊C4×C59—21no—
477C2×C42×C59—21no—
478C2×C42×C59C2311yescharacteristic
479C2×C42×C59C2311yescharacteristic
480C2×C42×C59C2311yescharacteristic
481C24×C59—21no—
482C24×C59—21no—
483#41×C59—22no—
484#41×C59—42no—
485#41×C59—41no—
486#41×C59—82no—
487C2×Q8×C59—21no—
488C2×Q8×C59C2×D411yescharacteristic
489C2×Q8×C59C2411yescharacteristic
490C2×D4×C59—22no—
491C2×D4×C59—22no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—41no—
502C2×D4×C59—41no—
503C2×D4×C59—44no—
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59—21no—
521C22×C4×C59—82no—
522C22×C4×C59—82no—
523C22×C4×C59C2×D411yescharacteristic
524C22×C4×C59C2×D411yescharacteristic
525C22×C4×C59C2×D411yescharacteristic
526C22×C4×C59C2×D411yescharacteristic
527C22×C4×C59C2×D411yescharacteristic
528C22×C4×C59C2×D411yescharacteristic
529C22×C4×C59C2411yescharacteristic
530C22×C4×C59C2411yescharacteristic
531C22×C4×C59C2411yescharacteristic
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540#11745685—22no—
541#11745685—22no—
542#11745685—41no—
543#11745685—41no—
544#11745685—44no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236C2411yescharacteristic
548C2×D236C2411yescharacteristic
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×Dic118—22no—
556C2×Dic118—21no—
557C2×Dic118—21no—
558C2×Dic118—41no—
559C2×Dic118C2411yescharacteristic
560C2×Dic118C2411yescharacteristic
561C4⋊C4×C59—21no—
562C4⋊C4×C59—21no—
563C4⋊C4×C59—21no—
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59C2×D411yescharacteristic
573C4⋊C4×C59C2×D411yescharacteristic
574C4⋊C4×C59C2×D411yescharacteristic
575C4⋊C4×C59C2×D411yescharacteristic
576C4⋊C4×C59C2×D411yescharacteristic
577C4⋊C4×C59C2×D411yescharacteristic
578C4⋊C4×C59C2411yescharacteristic
579C4⋊C4×C59C2411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
581C4⋊C4×C59C2411yescharacteristic
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59C2×D411yescharacteristic
602C22⋊C4×C59C2×D411yescharacteristic
603C22⋊C4×C59C2×D411yescharacteristic
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C22⋊C4×C59C2×D411yescharacteristic
607C42×C59—21no—
608C42×C59—21no—
609C42×C59—21no—
610C42×C59C2×D411yescharacteristic
611C42×C59C2×D411yescharacteristic
612C42×C59C2×D411yescharacteristic
613C42×C59C2×D411yescharacteristic
614C42×C59C2×D411yescharacteristic
615C42×C59C2×D411yescharacteristic
616C42×C59C2411yescharacteristic
617C42×C59C2411yescharacteristic
618C42×C59C2411yescharacteristic
619C42×C59C2411yescharacteristic
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624#11745672—22no—
625#11745672—41no—
626#11745671—22no—
627#11745671—41no—
628#11745670—22no—
629#11745670—22no—
630#11745670—22no—
631#11745670—22no—
632#11745670—41no—
633#11745670#4114yescomplemented
634#11745669—22no—
635#11745669—22no—
636#11745669—22no—
637#11745669—41no—
638#11745669—41no—
639#11745669—41no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656C4⋊Dic59C2411yescharacteristic
657C4⋊Dic59C2411yescharacteristic
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
678#11745664—22no—
679#11745664—41no—
680C2×C59⋊C8—22no—
681C2×C59⋊C8—22no—
682C2×C59⋊C8—41no—
683C2×C59⋊C8—41no—
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689C2×C59⋊C8C2411yescharacteristic
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—42no—
696C23×C59—42no—
697C23×C59—42no—
698C23×C59—42no—
699C23×C59—81no—
700C23×C59—81no—
701C23×C59C22×D411yescharacteristic
702C23×C59C22×D411yescharacteristic
703C23×C59C22×D411yescharacteristic
704C22×D59—21no—
705C22×D59—21no—
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—41no—
709Q8×C59—81no—
710D4×C59—22no—
711D4×C59—22no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—21no—
716D4×C59—21no—
717D4×C59—41no—
718D4×C59—42no—
719D4×C59—42no—
720D4×C59—42no—
721D4×C59—42no—
722D4×C59—42no—
723D4×C59—42no—
724D4×C59—81no—
725D4×C59—81no—
726D4×C59—81no—
727D4×C59C2×#4112yes—
728C2×C4×C59—22no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—41no—
741C2×C4×C59—41no—
742C2×C4×C59—41no—
743C2×C4×C59—41no—
744C2×C4×C59—41no—
745C2×C4×C59—42no—
746C2×C4×C59—42no—
747C2×C4×C59—42no—
748C2×C4×C59—42no—
749C2×C4×C59—42no—
750C2×C4×C59—81no—
751C2×C4×C59—81no—
752C2×C4×C59—81no—
753C2×C4×C59—81no—
754C2×C4×C59—81no—
755C2×C4×C59—81no—
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C2511yescharacteristic
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—42no—
781C2×Dic59—81no—
782D236—21no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—42no—
787D236—81no—
788C4×D59—42no—
789C4×D59—42no—
790C4×D59—42no—
791C4×D59—42no—
792C4×D59—81no—
793C4×D59—81no—
794Dic118—21no—
795Dic118—21no—
796Dic118—21no—
797Dic118—42no—
798Dic118—42no—
799Dic118C2×#4112yes—
800C59⋊C8—21no—
801C59⋊C8—21no—
802C59⋊C8—21no—
803C59⋊C8—21no—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8C2×#4112yes—
808#61456—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—21no—
813C22×C59—21no—
814C22×C59—21no—
815C22×C59—22no—
816C22×C59—21no—
817C22×C59—21no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—84no—
827C22×C59—84no—
828C22×C59#57512yes—
829C22×C59C23×D411yescharacteristic
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C4×C59—21no—
837C4×C59—21no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—21no—
842C4×C59—21no—
843C4×C59—21no—
844C4×C59—21no—
845C4×C59—21no—
846C4×C59—21no—
847C4×C59—41no—
848C4×C59—41no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59C22×#4111yescharacteristic
853C4×C59#58511yescharacteristic
854Dic59—22no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860#3481D5911yescharacteristic, complemented
861#3480—591no—
862#3403—591no—
863#3388—591no—
864#3371—591no—
865#3370—591no—
866#3350—591no—
867#3346—591no—
868#3339—591no—
869#3318—591no—
870#3316—591no—
871#3311—591no—
872#3309—591no—
873#3301—591no—
874#3297—591no—
875#3282—591no—
876#3268—591no—
877#3265—591no—
878#3183—591no—
879#3180—591no—
880#3180—591no—
881#3117—591no—
882#3115—591no—
883#3114—591no—
884#3111—591no—
885#3111—591no—
886#3109—591no—
887#2970—591no—
888C4×AGL(1,ℤ/8)—591no—
889#2943—591no—
890C2×#440—591no—
891C2×C59—22no—
892C2×C59—41no—
893C2×C59—41no—
894C2×C59—42no—
895C2×C59—81no—
896C2×C59—81no—
897C2×C59D4×#4111yescharacteristic
898C2×C59C2×#57511yescharacteristic
899C2×C59#358511yescharacteristic
900D59—81no—
901D59—81no—
902C2×AGL(1,ℤ/8)—591no—
903C2×#135—591no—
904C22×SD16—591no—
905#559—591no—
906#559—1181no—
907#559C2×D5911yescharacteristic
908#557—591no—
909#556—591no—
910#556—1181no—
911#554C2×D5911yescharacteristic
912#554C2×D5911yescharacteristic
913#553—21no—
914#553—591no—
915#553—591no—
916#553—1181no—
917#553—1181no—
918#553C2×D5911yescharacteristic
919#553C2×D5911yescharacteristic
920#551—21no—
921#551—21no—
922#550—591no—
923#548—591no—
924#548—591no—
925#546—21no—
926#546C2×D5911yescharacteristic
927#546C2×D5911yescharacteristic
928D42C2×D5911yescharacteristic
929#532—591no—
930#532—1181no—
931#532C2×D5911yescharacteristic
932#529—21no—
933#529—591no—
934#529—591no—
935#529—1181no—
936#529—1181no—
937#529C2×D5911yescharacteristic
938#529C2×D5911yescharacteristic
939#525—21no—
940#525—21no—
941C4×#41—591no—
942C4×#41—591no—
943C4×#41—1181no—
944C4×#41C2×D5911yescharacteristic
945C4×#41C2×D5911yescharacteristic
946C2×C4×Q8—591no—
947C2×C4×D4—21no—
948C2×C4×D4C2×D5911yescharacteristic
949C2×C4×D4C2×D5911yescharacteristic
950#501—591no—
951#501—591no—
952#499—591no—
953#496—591no—
954#496—591no—
955#495—591no—
956#490—591no—
957#490—591no—
958#489—591no—
959#489—591no—
960#488—591no—
961#488—591no—
962#485—591no—
963#485—591no—
964#484—591no—
965#483—591no—
966#482—591no—
967#482—591no—
968#482—591no—
969#482—591no—
970#481—591no—
971#481—591no—
972#481—591no—
973#480—591no—
974#479—591no—
975#479—591no—
976#479—591no—
977#479—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#476—591no—
983#476—591no—
984#475—591no—
985#474—591no—
986#470—591no—
987#469—591no—
988#468—591no—
989#468—591no—
990#466—591no—
991#466—591no—
992#466—591no—
993#466—591no—
994#465—591no—
995#465—591no—
996#465—591no—
997#465—591no—
998#464—591no—
999#464—591no—
1000#464—591no—
1001#464—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#460—591no—
1007#459—591no—
1008#459—591no—
1009#459—591no—
1010#452—591no—
1011#452—591no—
1012#451—591no—
1013#450—591no—
1014#449—591no—
1015#449—591no—
1016#449—591no—
1017#449—591no—
1018#448—591no—
1019#447—591no—
1020#447—591no—
1021#447—591no—
1022#446—591no—
1023#446—591no—
1024#442—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#441—591no—
1032#441—591no—
1033#441—591no—
1034#440—591no—
1035#440—591no—
1036#440—591no—
1037#440—591no—
1038#440—591no—
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042#440—591no—
1043#440—591no—
1044#440—591no—
1045#440—591no—
1046#440—591no—
1047#440—591no—
1048C4×SD16—591no—
1049C4×SD16—591no—
1050C4×D8—591no—
1051C4×D8—591no—
1052#435—591no—
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056C8×D4—591no—
1057C8×D4—591no—
1058#432—591no—
1059#432—591no—
1060#432—591no—
1061#428—591no—
1062#427—591no—
1063C2×#107—591no—
1064#418—591no—
1065#417—591no—
1066#416—591no—
1067#416—591no—
1068C2×#103—591no—
1069C2×#102—591no—
1070C4×M16—591no—
1071C2×#97—591no—
1072C2×#97—591no—
1073C59#6145611yescharacteristic, complemented, Sylow
1074C2×#41—21no—
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—1181no—
1078C2×#41C22⋊D5911yescharacteristic
1079C2×#41C22×D5911yescharacteristic
1080C22×Q8—591no—
1081C22×D4—21no—
1082C22×D4C22×D5911yescharacteristic
1083C22×D4C22×D5911yescharacteristic
1084C23×C4—21no—
1085C23×C4—21no—
1086AGL(1,ℤ/8)—1184no—
1087#135—1184no—
1088C2×Q16—591no—
1089C2×Q16—591no—
1090C2×SD16—591no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16—591no—
1098C2×SD16—1184no—
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—591no—
1105C2×M16—591no—
1106C2×M16—591no—
1107C22×C8—591no—
1108C22×C8—591no—
1109C22×C8—591no—
1110C22×C8—591no—
1111C4⋊Q8—591no—
1112C4⋊Q8—1181no—
1113C4⋊Q8C22×D5911yescharacteristic
1114#127—591no—
1115#127—1181no—
1116#127C22×D5911yescharacteristic
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#126—1181no—
1127#125—21no—
1128#125—591no—
1129#125—591no—
1130#125—1181no—
1131#125—1181no—
1132#125C22×D5911yescharacteristic
1133#125C22×D5911yescharacteristic
1134#124—21no—
1135#124—21no—
1136#124—591no—
1137#124—591no—
1138#124—1181no—
1139#124—1181no—
1140#124—1181no—
1141#124—1181no—
1142#124—1181no—
1143#124C22×D5911yescharacteristic
1144#124C22×D5911yescharacteristic
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158#123—1181no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—591no—
1165C22⋊Q8—591no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8C22×D5911yescharacteristic
1169C22⋊Q8C22×D5911yescharacteristic
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—591no—
1177#121—591no—
1178#121—591no—
1179#121—591no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121C22×D5911yescharacteristic
1188#121C22×D5911yescharacteristic
1189#121C22×D5911yescharacteristic
1190#121C22×D5911yescharacteristic
1191#120—21no—
1192#120—21no—
1193#120—21no—
1194#120—21no—
1195C4×Q8—591no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8—1181no—
1202C4×Q8—1181no—
1203C4×Q8—1181no—
1204C4×Q8—1181no—
1205C4×Q8C22⋊D5911yescharacteristic
1206C4×Q8C22×D5911yescharacteristic
1207C4×Q8C22×D5911yescharacteristic
1208C4×Q8C22×D5911yescharacteristic
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—591no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4C22⋊D5911yescharacteristic
1240C4×D4C22⋊D5911yescharacteristic
1241C4×D4C22⋊D5911yescharacteristic
1242C4×D4C22×D5911yescharacteristic
1243C4×D4C22×D5911yescharacteristic
1244C4×D4C22×D5911yescharacteristic
1245C4×D4C22×D5911yescharacteristic
1246C4×D4C22×D5911yescharacteristic
1247C4×D4C22×D5911yescharacteristic
1248C4×D4C22×D5911yescharacteristic
1249C4×D4C22×D5911yescharacteristic
1250C4×D4C22×D5911yescharacteristic
1251C4×D4C22×D5911yescharacteristic
1252C4×D4C22×D5911yescharacteristic
1253#117—21no—
1254#117—21no—
1255#117—21no—
1256#117—591no—
1257#117—591no—
1258#117—1181no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117C22⋊D5911yescharacteristic
1263#117C22⋊D5911yescharacteristic
1264#117C22⋊D5911yescharacteristic
1265#117C22×D5911yescharacteristic
1266C2×C4⋊C4—21no—
1267C2×C4⋊C4—591no—
1268C2×C4⋊C4—1181no—
1269C2×C4⋊C4C22×D5911yescharacteristic
1270C2×C4⋊C4C22×D5911yescharacteristic
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—21no—
1273C2×C22⋊C4—21no—
1274C2×C22⋊C4—21no—
1275C2×C42—21no—
1276C2×C42—1181no—
1277C2×C42—1181no—
1278C2×C42—1181no—
1279C2×C42C22×D5911yescharacteristic
1280C2×C42C22×D5911yescharacteristic
1281C2×C42C22×D5911yescharacteristic
1282#107—591no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107—591no—
1289#107—591no—
1290#106—591no—
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106—591no—
1297#106—591no—
1298C4⋊C8—591no—
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103—591no—
1314#103—591no—
1315#103—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102—591no—
1334#102—591no—
1335#102—591no—
1336C22⋊C8—591no—
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8—591no—
1342#97—591no—
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97—591no—
1348#97—591no—
1349#97—591no—
1350C4×C8—591no—
1351C4×C8—591no—
1352C24—21no—
1353C24—21no—
1354#41—22no—
1355#41—42no—
1356#41—41no—
1357#41—82no—
1358#41—1182no—
1359#41—1182no—
1360#41—2361no—
1361#41—2361no—
1362#41—2364no—
1363C2×Q8—21no—
1364C2×Q8—591no—
1365C2×Q8—591no—
1366C2×Q8—1182no—
1367C2×Q8—1181no—
1368C2×Q8—1181no—
1369C2×Q8—2361no—
1370C2×Q8C2×C22⋊D5911yescharacteristic
1371C2×Q8C23×D5911yescharacteristic
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—44no—
1386C2×D4—591no—
1387C2×D4—591no—
1388C2×D4—1181no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—1181no—
1394C2×D4—1181no—
1395C2×D4—1181no—
1396C2×D4C2×C22⋊D5911yescharacteristic
1397C2×D4C2×C22⋊D5911yescharacteristic
1398C2×D4C2×C22⋊D5911yescharacteristic
1399C2×D4C23×D5911yescharacteristic
1400C2×D4C23×D5911yescharacteristic
1401C2×D4C23×D5911yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—82no—
1414C22×C4—82no—
1415C22×C4—1181no—
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4C2×C22⋊D5911yescharacteristic
1424C22×C4C2×C22⋊D5911yescharacteristic
1425C22×C4C2×C22⋊D5911yescharacteristic
1426C22×C4C2×C22⋊D5911yescharacteristic
1427C22×C4C2×C22⋊D5911yescharacteristic
1428C22×C4C2×C22⋊D5911yescharacteristic
1429C22×C4C23×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431C22×C4C23×D5911yescharacteristic
1432Q16—1182no—
1433Q16—2361no—
1434SD16—594no—
1435SD16—1182no—
1436SD16—1182no—
1437SD16—1182no—
1438SD16—1182no—
1439SD16—1182no—
1440SD16—2361no—
1441SD16—2361no—
1442D8—1182no—
1443D8—1182no—
1444D8—1182no—
1445D8—2361no—
1446D8—2361no—
1447D8—2361no—
1448M16—1182no—
1449M16—2361no—
1450C2×C8—591no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—591no—
1454C2×C8—591no—
1455C2×C8—591no—
1456C2×C8—591no—
1457C2×C8—591no—
1458C2×C8—1182no—
1459C2×C8—1182no—
1460C2×C8—2361no—
1461C2×C8—2361no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—591no—
1474C4⋊C4—591no—
1475C4⋊C4—591no—
1476C4⋊C4—591no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4C2×C22⋊D5911yescharacteristic
1492C4⋊C4C2×C22⋊D5911yescharacteristic
1493C4⋊C4C2×C22⋊D5911yescharacteristic
1494C4⋊C4C2×C22⋊D5911yescharacteristic
1495C4⋊C4C2×C22⋊D5911yescharacteristic
1496C4⋊C4C2×C22⋊D5911yescharacteristic
1497C4⋊C4C23×D5911yescharacteristic
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4C2×C22⋊D5911yescharacteristic
1537C22⋊C4C2×C22⋊D5911yescharacteristic
1538C22⋊C4C2×C22⋊D5911yescharacteristic
1539C22⋊C4C2×C22⋊D5911yescharacteristic
1540C22⋊C4C2×C22⋊D5911yescharacteristic
1541C22⋊C4C2×C22⋊D5911yescharacteristic
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—1181no—
1546C42—1181no—
1547C42—1181no—
1548C42—1181no—
1549C42—1181no—
1550C42—1181no—
1551C42—1181no—
1552C42—1181no—
1553C42C2×C22⋊D5911yescharacteristic
1554C42C2×C22⋊D5911yescharacteristic
1555C42C2×C22⋊D5911yescharacteristic
1556C42C2×C22⋊D5911yescharacteristic
1557C42C2×C22⋊D5911yescharacteristic
1558C42C2×C22⋊D5911yescharacteristic
1559C42C23×D5911yescharacteristic
1560C42C23×D5911yescharacteristic
1561C42C23×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—42no—
1567C23—42no—
1568C23—42no—
1569C23—42no—
1570C23—81no—
1571C23—81no—
1572C23—1181no—
1573C23—1181no—
1574C23C22×C22⋊D5911yescharacteristic
1575C23C22×C22⋊D5911yescharacteristic
1576C23C22×C22⋊D5911yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—41no—
1580Q8—81no—
1581Q8—592no—
1582Q8—1181no—
1583Q8—1181no—
1584Q8—1181no—
1585Q8—2362no—
1586Q8—2362no—
1587D4—22no—
1588D4—22no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—41no—
1595D4—42no—
1596D4—42no—
1597D4—42no—
1598D4—42no—
1599D4—42no—
1600D4—42no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—1181no—
1605D4—1181no—
1606D4—1181no—
1607D4—1181no—
1608D4—4721no—
1609D4—4721no—
1610D4—4721no—
1611D4—2362no—
1612D4—2362no—
1613D4—2362no—
1614D4—2362no—
1615D4—2362no—
1616D4#41×D5912yes—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—42no—
1635C2×C4—42no—
1636C2×C4—42no—
1637C2×C4—42no—
1638C2×C4—42no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—1181no—
1650C2×C4—1181no—
1651C2×C4—4721no—
1652C2×C4—4721no—
1653C2×C4—4721no—
1654C2×C4—2362no—
1655C2×C4—2362no—
1656C2×C4—2362no—
1657C2×C4—2362no—
1658C2×C4—2362no—
1659C2×C4C22×C22⋊D5911yescharacteristic
1660C2×C4C22×C22⋊D5911yescharacteristic
1661C2×C4C22×C22⋊D5911yescharacteristic
1662C2×C4C22×C22⋊D5911yescharacteristic
1663C2×C4C22×C22⋊D5911yescharacteristic
1664C2×C4C22×C22⋊D5911yescharacteristic
1665C2×C4C22×C22⋊D5911yescharacteristic
1666C2×C4C22×C22⋊D5911yescharacteristic
1667C2×C4C22×C22⋊D5911yescharacteristic
1668C2×C4C22×C22⋊D5911yescharacteristic
1669C2×C4C22×C22⋊D5911yescharacteristic
1670C2×C4C24×D5911yescharacteristic
1671C8—592no—
1672C8—1181no—
1673C8—1181no—
1674C8—1181no—
1675C8—1181no—
1676C8—1181no—
1677C8—1181no—
1678C8—1181no—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—22no—
1686C22—21no—
1687C22—21no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—84no—
1697C22—84no—
1698C22—2361no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22#1683820012yes—
1705C22C23×C22⋊D5911yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—1182no—
1723C4—2361no—
1724C4—2361no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4C2×#41×D5911yescharacteristic
1729C4#1683823811yescharacteristic
1730C2—22no—
1731C2—41no—
1732C2—41no—
1733C2—42no—
1734C2—81no—
1735C2—81no—
1736C2—4721no—
1737C2—4721no—
1738C2#41×C22⋊D5911yescharacteristic
1739C2C2×#1683820011yescharacteristic
1740C2#2143887611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3481C2
socleC22×C59C23×D4
hypercenter#3481D59
hypocenterC59#61456
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3481

Complements

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

NH ≅ G/Ntype
1. #21437689C2semidirect
2. #21437180C2semidirect
3. #21437041C2semidirect
4. #21436858C2semidirect
5. #21436849C2semidirect
6. #21436635C2semidirect
7. #21436575C2semidirect
8. #21436492C2semidirect
9. #21436237C2semidirect
10. #21436201C2semidirect
11. #21436132C2semidirect
12. #21436096C2semidirect
13. #21435992C2semidirect
14. #21435946C2semidirect
15. #21435799C2semidirect
16. #21435632C2semidirect
17. #21435587C2semidirect
18. #21434819C2semidirect
19. #21434795C2semidirect
20. #21434788C2semidirect
21. #21434263C2semidirect
22. #21434241C2semidirect
23. #21434234C2semidirect
24. #21434205C2semidirect
25. #21434199C2semidirect
26. #21434187C2semidirect
27. #21433110C2semidirect
28. C4×#14273753C2semidirect
29. #21432894C2semidirect
30. C2×#16837502C2semidirect
31. C59×#3481C2semidirect
35. #16838137C22semidirect
37. #16838130C22semidirect
39. #16838122C22semidirect
43. #16838098C22semidirect
44. #16838073C22semidirect
46. #16838061C22semidirect
47. #16837952C22semidirect
49. #16837936C22semidirect
50. #16837936C22semidirect
53. C4×#11745685C22semidirect
54. C4×#11745685C22semidirect
56. C2×C4×Dic118C22semidirect
57. #16837812C22semidirect
58. #16837808C22semidirect
59. #16837801C22semidirect
60. #16837792C22semidirect
62. #16837784C22semidirect
63. #16837768C22semidirect
65. #16837764C22semidirect
66. #16837761C22semidirect
67. #16837759C22semidirect
68. #16837756C22semidirect
69. #16837743C22semidirect
70. #16837740C22semidirect
71. #16837735C22semidirect
72. #16837732C22semidirect
73. #16837726C22semidirect
75. #16837723C22semidirect
76. #16837723C22semidirect
77. #16837720C22semidirect
78. #16837720C22semidirect
80. #16837715C22semidirect
81. #16837709C22semidirect
82. #16837706C22semidirect
83. #16837706C22semidirect
84. #16837706C22semidirect
87. #16837702C22semidirect
88. #16837699C22semidirect
90. #16837692C22semidirect
91. #16837684C22semidirect
92. #16837679C22semidirect
93. #16837658C22semidirect
95. #16837650C22semidirect
99. #16837636C22semidirect
100. #16837636C22semidirect
101. #16837633C22semidirect
102. #16837633C22semidirect
103. #16837629C22semidirect
104. #16837629C22semidirect
105. #16837624C22semidirect
106. #16837621C22semidirect
107. #16837621C22semidirect
108. #16837621C22semidirect
111. #16837617C22semidirect
112. #16837614C22semidirect
115. #16837597C22semidirect
118. #16837562C22semidirect
119. #16837557C22semidirect
123. #16837545C22semidirect
124. #16837545C22semidirect
129. #16837533C22semidirect
130. #16837533C22semidirect
134. #16837512C22semidirect
135. #16837512C22semidirect
136. #16837512C22semidirect
137. #16837512C22semidirect
138. #16837507C22semidirect
139. #16837507C22semidirect
140. #16837507C22semidirect
146. #16837502C22semidirect
147. #16837502C22semidirect
148. #16837502C22semidirect
149. #16837502C22semidirect
150. #16837502C22semidirect
151. #16837502C22semidirect
152. #16837500C22semidirect
153. #16837500C22semidirect
154. #16837500C22semidirect
156. C4×#11745670C22semidirect
158. C4×#11745669C22semidirect
161. #16837474C22semidirect
162. #16837474C22semidirect
163. D4×C59⋊C8C22semidirect
164. D4×C59⋊C8C22semidirect
165. #16837459C22semidirect
166. #16837459C22semidirect
167. #16837459C22semidirect
168. #16837442C22semidirect
169. #16837438C22semidirect
170. C2×#14273660C22semidirect
172. #16837401C22semidirect
174. #16837396C22semidirect
175. C2×#14273650C22semidirect
177. C4×#11745664C22semidirect
178. C2×#14273638C22semidirect
179. C2×#14273638C22semidirect
633. #11745670#41semidirect
860. #3481D59semidirect
1073. C59#61456semidirect

Maximal subgroups

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

subgroupindex
#214376892
#214371802
#214370412
#214368582
#214368492
#214366352
#214365752
#214364922
#214362372
#214362012
#214361322
#214360962
#214359922
#214359462
#214357992
#214356322
#214355872
#214348192
#214347952
#214347882
#214342632
#214342412
#214342342
#214342052
#214341992
#214341872
#214331102
C4×#142737532
#214328942
C2×#168375022
C59×#34812
#6145659