Finite Group Databasebeta

← #29470712

Subgroups — #29470712

Order 15104.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437711C211yesmaximal, characteristic, complemented
2#21437171C211yesmaximal, characteristic, complemented
3#21437041C211yesmaximal, characteristic, complemented
4#21436932C211yesmaximal, characteristic, complemented
5#21436923C211yesmaximal, characteristic, complemented
6#21436611C211yesmaximal, characteristic, complemented
7#21436536C211yesmaximal, characteristic, complemented
8#21436458C211yesmaximal, characteristic, complemented
9#21436276C211yesmaximal, characteristic, complemented
10#21436192C211yesmaximal, characteristic, complemented
11#21436141C211yesmaximal, characteristic, complemented
12#21436057C211yesmaximal, characteristic, complemented
13#21435977C211yesmaximal, characteristic, complemented
14#21435931C211yesmaximal, characteristic, complemented
15#21435799C211yesmaximal, characteristic, complemented
16#21435647C211yesmaximal, characteristic, complemented
17#21435602C211yesmaximal, characteristic, complemented
18#21434819C211yesmaximal, characteristic, complemented
19#21434806C211yesmaximal, characteristic, complemented
20#21434799C211yesmaximal, characteristic, complemented
21#21434263C211yesmaximal, characteristic, complemented
22#21434258C211yesmaximal, characteristic, complemented
23#21434234C211yesmaximal, characteristic, complemented
24#21434222C211yesmaximal, characteristic, complemented
25#21434205C211yesmaximal, characteristic, complemented
26#21434199C211yesmaximal, characteristic, complemented
27#21433110C211yesmaximal, characteristic, complemented
28C4×#14273757C211yesmaximal, characteristic, complemented
29#21432894C211yesmaximal, characteristic, complemented
30C2×#16837502C211yesmaximal, characteristic, complemented
31C59×#3475C211yesmaximal, characteristic, complemented
32C2×#14273757C2211yescharacteristic
33C2×#14273747C2211yescharacteristic
34C22×#11745670C2211yescharacteristic
35#16838130C2211yescharacteristic, complemented
36#16838125C2211yescharacteristic, complemented
37#16838120—21no—
38#16838092C2211yescharacteristic
39#16838092C2211yescharacteristic, complemented
40#16838085—21no—
41#16838085—21no—
42D4×Dic118C2211yescharacteristic
43#16838061C2211yescharacteristic
44#16838061C2211yescharacteristic, complemented
45#16838056C2211yescharacteristic
46#16838051—21no—
47#16837959C2211yescharacteristic, complemented
48#16837956—21no—
49#16837936C2211yescharacteristic
50#16837936C2211yescharacteristic, complemented
51#16837932—21no—
52#16837932—21no—
53C4×#11745685C2211yescharacteristic, complemented
54C4×#11745687—21no—
55C2×C4×Dic118C2211yescharacteristic
56C2×C4×Dic118C2211yescharacteristic, complemented
57#16837812C2211yescharacteristic, complemented
58#16837808C2211yescharacteristic, complemented
59#16837801C2211yescharacteristic, complemented
60#16837797C2211yescharacteristic
61#16837794C2211yescharacteristic, complemented
62#16837784C2211yescharacteristic
63#16837772C2211yescharacteristic, complemented
64#16837770C2211yescharacteristic, complemented
65#16837764C2211yescharacteristic, complemented
66#16837761C2211yescharacteristic
67#16837759C2211yescharacteristic, complemented
68#16837756C2211yescharacteristic
69#16837743C2211yescharacteristic, complemented
70#16837743C2211yescharacteristic, complemented
71#16837743C2211yescharacteristic, complemented
72#16837740C2211yescharacteristic, complemented
73#16837735C2211yescharacteristic, complemented
74#16837732C2211yescharacteristic
75#16837730C2211yescharacteristic
76#16837730C2211yescharacteristic
77#16837726C2211yescharacteristic, complemented
78#16837723C2211yescharacteristic
79#16837718C2211yescharacteristic
80#16837715C2211yescharacteristic
81#16837709C2211yescharacteristic, complemented
82#16837706C2211yescharacteristic, complemented
83#16837706C2211yescharacteristic, complemented
84#16837706C2211yescharacteristic, complemented
85#16837702C2211yescharacteristic
86#16837702C2211yescharacteristic
87#16837702C2211yescharacteristic
88#16837699C2211yescharacteristic, complemented
89#16837697C2211yescharacteristic, complemented
90#16837692C2211yescharacteristic
91#16837684C2211yescharacteristic, complemented
92#16837684C2211yescharacteristic, complemented
93#16837658C2211yescharacteristic, complemented
94#16837653C2211yescharacteristic
95#16837650C2211yescharacteristic, complemented
96#16837646C2211yescharacteristic
97#16837641C2211yescharacteristic
98#16837641C2211yescharacteristic
99#16837641C2211yescharacteristic, complemented
100#16837641C2211yescharacteristic, complemented
101#16837633C2211yescharacteristic
102#16837633C2211yescharacteristic
103#16837629C2211yescharacteristic
104#16837629C2211yescharacteristic
105#16837624C2211yescharacteristic, complemented
106#16837621C2211yescharacteristic
107#16837621C2211yescharacteristic
108#16837621C2211yescharacteristic
109#16837617C2211yescharacteristic
110#16837617C2211yescharacteristic
111#16837617C2211yescharacteristic
112#16837614C2211yescharacteristic
113#16837612C2211yescharacteristic, complemented
114#16837609C2211yescharacteristic, complemented
115#16837609C2211yescharacteristic, complemented
116#16837607C2211yescharacteristic
117#16837564C2211yescharacteristic
118#16837564C2211yescharacteristic
119#16837564C2211yescharacteristic
120#16837562C2211yescharacteristic, complemented
121#16837557C2211yescharacteristic
122#16837557C2211yescharacteristic
123#16837557C2211yescharacteristic, complemented
124#16837553C2211yescharacteristic
125#16837547C2211yescharacteristic
126#16837545C2211yescharacteristic
127#16837540C2211yescharacteristic
128#16837536C2211yescharacteristic
129#16837533C2211yescharacteristic, complemented
130#16837533C2211yescharacteristic, complemented
131#16837512C2211yescharacteristic
132#16837512C2211yescharacteristic
133#16837512C2211yescharacteristic
134#16837507C2211yescharacteristic, complemented
135#16837507C2211yescharacteristic, complemented
136#16837507C2211yescharacteristic, complemented
137#16837507C2211yescharacteristic, complemented
138#16837507C2211yescharacteristic, complemented
139#16837507C2211yescharacteristic, complemented
140#16837507C2211yescharacteristic, complemented
141#16837502C2211yescharacteristic
142#16837502C2211yescharacteristic
143#16837502C2211yescharacteristic
144#16837502C2211yescharacteristic
145#16837502C2211yescharacteristic
146#16837502C2211yescharacteristic
147#16837502C2211yescharacteristic
148#16837502C2211yescharacteristic
149#16837502C2211yescharacteristic
150#16837502C2211yescharacteristic
151#16837502C2211yescharacteristic
152#16837500C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154#16837500C2211yescharacteristic, complemented
155C4×#11745672C2211yescharacteristic, complemented
156C4×#11745672C2211yescharacteristic, complemented
157C4×#11745670C2211yescharacteristic
158C4×#11745670C2211yescharacteristic
159#16837474C2211yescharacteristic
160#16837474C2211yescharacteristic
161#16837474C2211yescharacteristic, complemented
162#16837474C2211yescharacteristic, complemented
163D4×C59⋊C8C2211yescharacteristic
164D4×C59⋊C8C2211yescharacteristic
165#16837459C2211yescharacteristic
166#16837459C2211yescharacteristic, complemented
167#16837459C2211yescharacteristic, complemented
168#16837445C2211yescharacteristic, complemented
169#16837438C2211yescharacteristic, complemented
170C2×#14273660C2211yescharacteristic
171#16837410C2211yescharacteristic, complemented
172#16837403C2211yescharacteristic
173#16837398C2211yescharacteristic
174#16837396C2211yescharacteristic, complemented
175C2×#14273650C2211yescharacteristic
176C2×#14273648C2211yescharacteristic
177C4×#11745664C2211yescharacteristic, complemented
178C2×#14273638C2211yescharacteristic
179C2×#14273638C2211yescharacteristic, complemented
180C59×#556C2211yescharacteristic
181C59×#555C2211yescharacteristic
182C59×#554C2211yescharacteristic
183C59×#553—21no—
184C59×#552—21no—
185C59×#552C2211yescharacteristic
186C59×#552C2211yescharacteristic
187C59×#551—21no—
188C59×#551—21no—
189C59×#547C2211yescharacteristic
190C59×#546C2211yescharacteristic
191C59×#546C2211yescharacteristic
192C59×#533C2211yescharacteristic
193C59×#529—21no—
194C59×#529—21no—
195C59×#529C2211yescharacteristic
196C59×#529C2211yescharacteristic
197C59×#525—21no—
198C4×#41×C59C2211yescharacteristic
199C4×#41×C59C2211yescharacteristic
200C4×#41×C59C2211yescharacteristic
201C2×C4×D4×C59C2211yescharacteristic
202C2×#117×C59—21no—
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C22×Dic118C2311yescharacteristic
206C22×Dic118C2311yescharacteristic
207#14273757—24no—
208#14273747—24no—
209C2×#11745672C2311yescharacteristic
210C2×#11745672C2311yescharacteristic
211C2×#11745672C2311yescharacteristic
212C2×#11745672C2311yescharacteristic
213C2×#11745672C2311yescharacteristic
214C2×#11745672C2311yescharacteristic
215C2×#11745670—24no—
216C2×#11745670C2311yescharacteristic
217C2×#11745670C2311yescharacteristic
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745669C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745664C2311yescharacteristic
227C2×#11745664C2311yescharacteristic
228C22×C59⋊C8C2311yescharacteristic
229C22×C59⋊C8C2311yescharacteristic
230C22×C59⋊C8C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232#14273727C2311yescharacteristic
233#14273727C2311yescharacteristic
234#14273726—21no—
235#14273725—21no—
236#14273722—21no—
237#14273722—21no—
238#14273721—21no—
239#14273721—21no—
240#14273720—21no—
241#14273720—21no—
242#14273719—21no—
243#14273719C2311yescharacteristic
244#14273719C2311yescharacteristic
245#14273717—21no—
246#14273717—21no—
247#14273717—21no—
248#14273717—21no—
249#14273715C2311yescharacteristic
250#14273715C2311yescharacteristic
251#14273713—21no—
252#14273713—21no—
253#14273711—21no—
254#14273711—21no—
255#14273710—21no—
256#14273710—21no—
257#14273708—21no—
258#14273708—21no—
259#14273707—21no—
260#14273706—21no—
261#14273706C2311yescharacteristic
262#14273706C2311yescharacteristic
263#14273706C2311yescharacteristic
264#14273706C2311yescharacteristic
265#14273705—21no—
266#14273705—21no—
267#14273704—21no—
268#14273704—21no—
269#14273703—21no—
270#14273701C2311yescharacteristic
271#14273701C2311yescharacteristic
272#14273699—21no—
273#14273699—21no—
274C4×Dic118—21no—
275C4×Dic118—21no—
276C4×Dic118—21no—
277C4×Dic118—21no—
278C4×Dic118—21no—
279C4×Dic118C2311yescharacteristic
280C4×Dic118C2311yescharacteristic
281C4×Dic118C2311yescharacteristic
282C4×Dic118C2311yescharacteristic
283C4×Dic118C2311yescharacteristic
284C4×Dic118C2311yescharacteristic
285C4×Dic118C2311yescharacteristic
286C4×Dic118C2311yescharacteristic
287#14273692—21no—
288C4×D236C2311yescharacteristic
289C4×D236C2311yescharacteristic
290D4×Dic59—21no—
291C4×C22⋊D59—21no—
292C4×C22⋊D59—21no—
293C4×C22⋊D59—21no—
294C4×C22⋊D59—21no—
295(C22⋊D59)⋊C4—21no—
296(C22⋊D59)⋊C4—21no—
297#14273686—21no—
298#14273686C2311yescharacteristic
299#14273685—21no—
300#14273684—21no—
301#14273684—21no—
302#14273684—21no—
303#14273683—21no—
304#14273683—21no—
305C2×C4⋊Dic59C2311yescharacteristic
306C2×C4⋊Dic59C2311yescharacteristic
307C2×Dic59⋊C4—21no—
308C2×Dic59⋊C4—21no—
309C2×C4×Dic59—21no—
310C2×C4×Dic59—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#14273651C2311yescharacteristic
339#14273651C2311yescharacteristic
340#14273651C2311yescharacteristic
341#14273651C2311yescharacteristic
342#14273650C2311yescharacteristic
343#14273650C2311yescharacteristic
344#14273650C2311yescharacteristic
345#14273650C2311yescharacteristic
346#14273650C2311yescharacteristic
347#14273650C2311yescharacteristic
348#14273650C2311yescharacteristic
349#14273650C2311yescharacteristic
350#14273650C2311yescharacteristic
351#14273650C2311yescharacteristic
352#14273650C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273648C2311yescharacteristic
355#14273648C2311yescharacteristic
356#14273648C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273648C2311yescharacteristic
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×C59D411yescharacteristic
383C2×#41×C59C2311yescharacteristic
384C2×#41×C59C2311yescharacteristic
385C22×D4×C59C2311yescharacteristic
386C23×C4×C59—21no—
387C4⋊Q8×C59C2311yescharacteristic
388C4⋊Q8×C59C2311yescharacteristic
389#126×C59—21no—
390#126×C59—21no—
391#126×C59—21no—
392#126×C59—21no—
393#126×C59—21no—
394#126×C59—21no—
395#125×C59—21no—
396#125×C59—21no—
397#125×C59—21no—
398#125×C59C2311yescharacteristic
399#125×C59C2311yescharacteristic
400#124×C59—21no—
401#124×C59—21no—
402#124×C59C2311yescharacteristic
403#124×C59C2311yescharacteristic
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—
411#123×C59—21no—
412C22⋊Q8×C59—21no—
413C22⋊Q8×C59—21no—
414C22⋊Q8×C59—21no—
415C22⋊Q8×C59—21no—
416C22⋊Q8×C59—21no—
417C22⋊Q8×C59C2311yescharacteristic
418C22⋊Q8×C59C2311yescharacteristic
419C22⋊Q8×C59C2311yescharacteristic
420C22⋊Q8×C59C2311yescharacteristic
421#121×C59—21no—
422#121×C59—21no—
423#121×C59—21no—
424#121×C59—21no—
425#121×C59C2311yescharacteristic
426#121×C59C2311yescharacteristic
427#120×C59—21no—
428#120×C59—21no—
429C4×Q8×C59—21no—
430C4×Q8×C59D411yescharacteristic
431C4×Q8×C59C2311yescharacteristic
432C4×Q8×C59C2311yescharacteristic
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×C59D411yescharacteristic
445C4×D4×C59D411yescharacteristic
446C4×D4×C59D411yescharacteristic
447C4×D4×C59C2311yescharacteristic
448C4×D4×C59C2311yescharacteristic
449C4×D4×C59C2311yescharacteristic
450C4×D4×C59C2311yescharacteristic
451C4×D4×C59C2311yescharacteristic
452C4×D4×C59C2311yescharacteristic
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456#117×C59—21no—
457#117×C59—21no—
458#117×C59—21no—
459#117×C59—21no—
460#117×C59—21no—
461#117×C59—21no—
462#117×C59—21no—
463#117×C59—21no—
464#117×C59—21no—
465#117×C59D411yescharacteristic
466#117×C59D411yescharacteristic
467#117×C59D411yescharacteristic
468#117×C59C2311yescharacteristic
469#117×C59C2311yescharacteristic
470C2×C4⋊C4×C59—21no—
471C2×C4⋊C4×C59—21no—
472C2×C4⋊C4×C59C2311yescharacteristic
473C2×C22⋊C4×C59—21no—
474C2×C22⋊C4×C59—21no—
475C2×C22⋊C4×C59—21no—
476C2×C42×C59—21no—
477C2×C42×C59—21no—
478C2×C42×C59C2311yescharacteristic
479C2×C42×C59C2311yescharacteristic
480C2×C42×C59C2311yescharacteristic
481C24×C59—21no—
482#41×C59—22no—
483#41×C59—22no—
484#41×C59—42no—
485#41×C59—41no—
486#41×C59—41no—
487C2×Q8×C59—21no—
488C2×Q8×C59C2×D411yescharacteristic
489C2×Q8×C59C2411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
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—41no—
498C2×D4×C59C2×D411yescharacteristic
499C2×D4×C59C2×D411yescharacteristic
500C2×D4×C59C2×D411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—44no—
513C22×C4×C59C2×D411yescharacteristic
514C22×C4×C59C2×D411yescharacteristic
515C22×C4×C59C2×D411yescharacteristic
516C22×C4×C59C2×D411yescharacteristic
517C22×C4×C59C2×D411yescharacteristic
518C22×C4×C59C2×D411yescharacteristic
519C22×C4×C59C2411yescharacteristic
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529#11745687—44no—
530#11745685—22no—
531#11745685—41no—
532C2×D236C2411yescharacteristic
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×Dic118—22no—
537C2×Dic118—22no—
538C2×Dic118—21no—
539C2×Dic118—21no—
540C2×Dic118—21no—
541C2×Dic118—41no—
542C2×Dic118—41no—
543C2×Dic118C2411yescharacteristic
544C2×Dic118C2411yescharacteristic
545C2×Dic118C2411yescharacteristic
546C4⋊C4×C59—21no—
547C4⋊C4×C59—21no—
548C4⋊C4×C59—21no—
549C4⋊C4×C59—21no—
550C4⋊C4×C59—21no—
551C4⋊C4×C59—21no—
552C4⋊C4×C59—21no—
553C4⋊C4×C59—21no—
554C4⋊C4×C59—21no—
555C4⋊C4×C59—21no—
556C4⋊C4×C59—21no—
557C4⋊C4×C59—21no—
558C4⋊C4×C59—21no—
559C4⋊C4×C59—21no—
560C4⋊C4×C59—21no—
561C4⋊C4×C59—21no—
562C4⋊C4×C59C2×D411yescharacteristic
563C4⋊C4×C59C2×D411yescharacteristic
564C4⋊C4×C59C2×D411yescharacteristic
565C4⋊C4×C59C2×D411yescharacteristic
566C4⋊C4×C59C2×D411yescharacteristic
567C4⋊C4×C59C2×D411yescharacteristic
568C4⋊C4×C59C2411yescharacteristic
569C4⋊C4×C59C2411yescharacteristic
570C4⋊C4×C59C2411yescharacteristic
571C4⋊C4×C59C2411yescharacteristic
572C22⋊C4×C59—21no—
573C22⋊C4×C59—21no—
574C22⋊C4×C59—21no—
575C22⋊C4×C59—21no—
576C22⋊C4×C59—21no—
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
591C22⋊C4×C59C2×D411yescharacteristic
592C22⋊C4×C59C2×D411yescharacteristic
593C22⋊C4×C59C2×D411yescharacteristic
594C22⋊C4×C59C2×D411yescharacteristic
595C22⋊C4×C59C2×D411yescharacteristic
596C42×C59—21no—
597C42×C59—21no—
598C42×C59—21no—
599C42×C59—21no—
600C42×C59—21no—
601C42×C59—21no—
602C42×C59C2×D411yescharacteristic
603C42×C59C2×D411yescharacteristic
604C42×C59C2×D411yescharacteristic
605C42×C59C2×D411yescharacteristic
606C42×C59C2×D411yescharacteristic
607C42×C59C2×D411yescharacteristic
608C42×C59C2411yescharacteristic
609C42×C59C2411yescharacteristic
610C42×C59C2411yescharacteristic
611C42×C59C2411yescharacteristic
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617#11745672—22no—
618#11745672—22no—
619#11745672—22no—
620#11745672—41no—
621#11745672—41no—
622#11745672—41no—
623#11745671—22no—
624#11745671—41no—
625#11745670—22no—
626#11745670—22no—
627#11745670—22no—
628#11745670—22no—
629#11745670—41no—
630#11745670#4114yescomplemented
631#11745669—22no—
632#11745669—41no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59C2411yescharacteristic
647C4⋊Dic59C2411yescharacteristic
648C4⋊Dic59C2411yescharacteristic
649C4⋊Dic59C2411yescharacteristic
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675#11745664—22no—
676#11745664—41no—
677C2×C59⋊C8—22no—
678C2×C59⋊C8—22no—
679C2×C59⋊C8—41no—
680C2×C59⋊C8—41no—
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689C23×C59—21no—
690C23×C59—21no—
691C23×C59—42no—
692C23×C59—42no—
693C23×C59—81no—
694C23×C59C22×D411yescharacteristic
695C23×C59C22×D411yescharacteristic
696C23×C59C22×D411yescharacteristic
697C22×D59—21no—
698Q8×C59—21no—
699Q8×C59—21no—
700Q8×C59—21no—
701Q8×C59—21no—
702Q8×C59—41no—
703Q8×C59—81no—
704D4×C59—22no—
705D4×C59—22no—
706D4×C59—21no—
707D4×C59—21no—
708D4×C59—21no—
709D4×C59—41no—
710D4×C59—42no—
711D4×C59—42no—
712D4×C59—42no—
713D4×C59—81no—
714D4×C59—81no—
715D4×C59C2×#4112yes—
716C2×C4×C59—22no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—41no—
730C2×C4×C59—41no—
731C2×C4×C59—41no—
732C2×C4×C59—41no—
733C2×C4×C59—41no—
734C2×C4×C59—42no—
735C2×C4×C59—42no—
736C2×C4×C59—42no—
737C2×C4×C59—42no—
738C2×C4×C59—42no—
739C2×C4×C59—42no—
740C2×C4×C59—42no—
741C2×C4×C59—81no—
742C2×C4×C59—81no—
743C2×C4×C59C22×D411yescharacteristic
744C2×C4×C59C22×D411yescharacteristic
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C2511yescharacteristic
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—42no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—42no—
766C2×Dic59—42no—
767C2×Dic59—42no—
768C2×Dic59—42no—
769D236—21no—
770D236—21no—
771C4×D59—42no—
772C4×D59—42no—
773C4×D59—42no—
774Dic118—21no—
775Dic118—21no—
776Dic118—21no—
777Dic118—21no—
778Dic118—21no—
779Dic118—42no—
780Dic118—42no—
781Dic118—42no—
782Dic118C2×#4112yes—
783C59⋊C8—21no—
784C59⋊C8—21no—
785C59⋊C8—21no—
786C59⋊C8—21no—
787C59⋊C8—21no—
788C59⋊C8—21no—
789C59⋊C8—21no—
790C59⋊C8C2×#4112yes—
791#61455—591nomaximal, Sylow
792C22×C59—21no—
793C22×C59—21no—
794C22×C59—21no—
795C22×C59—21no—
796C22×C59—21no—
797C22×C59—21no—
798C22×C59—22no—
799C22×C59—21no—
800C22×C59—21no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—84no—
807C22×C59#57512yes—
808C22×C59C23×D411yescharacteristic
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—41no—
812C4×C59—21no—
813C4×C59—21no—
814C4×C59—21no—
815C4×C59—21no—
816C4×C59—21no—
817C4×C59—21no—
818C4×C59—21no—
819C4×C59—21no—
820C4×C59—21no—
821C4×C59—21no—
822C4×C59—21no—
823C4×C59—41no—
824C4×C59—41no—
825C4×C59—41no—
826C4×C59—41no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59C22×#4111yescharacteristic
830C4×C59#58511yescharacteristic
831Dic59—22no—
832Dic59—41no—
833Dic59—41no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838#3482—591no—
839#3475D5911yescharacteristic, complemented
840#3402—591no—
841#3388—591no—
842#3377—591no—
843#3376—591no—
844#3348—591no—
845#3343—591no—
846#3336—591no—
847#3321—591no—
848#3315—591no—
849#3312—591no—
850#3306—591no—
851#3300—591no—
852#3296—591no—
853#3282—591no—
854#3269—591no—
855#3266—591no—
856#3183—591no—
857#3181—591no—
858#3181—591no—
859#3117—591no—
860#3116—591no—
861#3114—591no—
862#3113—591no—
863#3111—591no—
864#3111—591no—
865#2970—591no—
866C4×#137—591no—
867#2943—591no—
868C2×#440—591no—
869C2×C59—22no—
870C2×C59—41no—
871C2×C59—41no—
872C2×C59—42no—
873C2×C59—81no—
874C2×C59D4×#4111yescharacteristic
875C2×C59C2×#57511yescharacteristic
876C2×C59#358611yescharacteristic
877D59—81no—
878C2×#137—591no—
879C2×#135—591no—
880C22×SD16—591no—
881#557—591no—
882#556—591no—
883#556—1181no—
884#556C2×D5911yescharacteristic
885#555C2×D5911yescharacteristic
886#554C2×D5911yescharacteristic
887#553—21no—
888#552—21no—
889#552—591no—
890#552—591no—
891#552—1181no—
892#552—1181no—
893#552C2×D5911yescharacteristic
894#552C2×D5911yescharacteristic
895#551—21no—
896#551—21no—
897D4×Q8—591no—
898#548—591no—
899#548—591no—
900#547—591no—
901#547—1181no—
902#547C2×D5911yescharacteristic
903#546C2×D5911yescharacteristic
904#546C2×D5911yescharacteristic
905#533—591no—
906#533—1181no—
907#533C2×D5911yescharacteristic
908#529—21no—
909#529—21no—
910#529—591no—
911#529—591no—
912#529—1181no—
913#529—1181no—
914#529C2×D5911yescharacteristic
915#529C2×D5911yescharacteristic
916#525—21no—
917C4×#41—591no—
918C4×#41—1181no—
919C4×#41C2×D5911yescharacteristic
920C4×#41C2×D5911yescharacteristic
921C4×#41C2×D5911yescharacteristic
922C2×C4×Q8—591no—
923C2×C4×Q8—591no—
924C2×C4×D4C2×D5911yescharacteristic
925C2×#117—21no—
926#501—591no—
927#501—591no—
928#499—591no—
929#497—591no—
930#497—591no—
931#495—591no—
932#491—591no—
933#491—591no—
934#489—591no—
935#489—591no—
936#488—591no—
937#488—591no—
938#485—591no—
939#485—591no—
940#485—591no—
941#485—591no—
942#484—591no—
943#483—591no—
944#483—591no—
945#483—591no—
946#482—591no—
947#482—591no—
948#481—591no—
949#480—591no—
950#479—591no—
951#479—591no—
952#479—591no—
953#479—591no—
954#478—591no—
955#478—591no—
956#478—591no—
957#478—591no—
958#477—591no—
959#476—591no—
960#475—591no—
961#475—591no—
962#470—591no—
963#469—591no—
964#468—591no—
965#468—591no—
966#467—591no—
967#467—591no—
968#467—591no—
969#467—591no—
970#465—591no—
971#465—591no—
972#465—591no—
973#465—591no—
974#464—591no—
975#464—591no—
976#464—591no—
977#464—591no—
978#463—591no—
979#463—591no—
980#463—591no—
981#463—591no—
982#462—591no—
983#462—591no—
984#462—591no—
985#461—591no—
986#452—591no—
987#452—591no—
988#452—591no—
989#452—591no—
990#451—591no—
991#451—591no—
992#451—591no—
993#450—591no—
994#449—591no—
995#449—591no—
996#448—591no—
997#447—591no—
998#446—591no—
999#446—591no—
1000#442—591no—
1001#442—591no—
1002#442—591no—
1003#441—591no—
1004#441—591no—
1005#441—591no—
1006#441—591no—
1007#441—591no—
1008#441—591no—
1009#441—591no—
1010#440—591no—
1011#440—591no—
1012#440—591no—
1013#440—591no—
1014#440—591no—
1015#440—591no—
1016#440—591no—
1017#440—591no—
1018#440—591no—
1019#440—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024C4×Q16—591no—
1025C4×Q16—591no—
1026C4×SD16—591no—
1027C4×SD16—591no—
1028#435—591no—
1029#435—591no—
1030#435—591no—
1031#435—591no—
1032C8×D4—591no—
1033C8×D4—591no—
1034#432—591no—
1035#432—591no—
1036#432—591no—
1037#428—591no—
1038#427—591no—
1039C2×#107—591no—
1040#419—591no—
1041#417—591no—
1042#416—591no—
1043#416—591no—
1044C2×#103—591no—
1045C2×#102—591no—
1046C4×M16—591no—
1047C2×#97—591no—
1048C2×#97—591no—
1049C59#6145511yescharacteristic, complemented, Sylow
1050C2×#41—591no—
1051C2×#41—1181no—
1052C2×#41C22⋊D5911yescharacteristic
1053C2×#41C22×D5911yescharacteristic
1054C2×#41C22×D5911yescharacteristic
1055C22×Q8—591no—
1056C22×Q8—591no—
1057C22×D4C22×D5911yescharacteristic
1058C23×C4—21no—
1059#137—1184no—
1060#135—1184no—
1061C2×Q16—591no—
1062C2×Q16—591no—
1063C2×Q16—591no—
1064C2×Q16—591no—
1065C2×Q16—591no—
1066C2×Q16—591no—
1067C2×SD16—591no—
1068C2×SD16—591no—
1069C2×SD16—591no—
1070C2×SD16—591no—
1071C2×SD16—591no—
1072C2×SD16—591no—
1073C2×SD16—591no—
1074C2×SD16—591no—
1075C2×SD16—1184no—
1076C2×D8—591no—
1077C2×D8—591no—
1078C2×M16—591no—
1079C2×M16—591no—
1080C22×C8—591no—
1081C22×C8—591no—
1082C22×C8—591no—
1083C22×C8—591no—
1084C4⋊Q8—591no—
1085C4⋊Q8—591no—
1086C4⋊Q8—1181no—
1087C4⋊Q8—1181no—
1088C4⋊Q8C22×D5911yescharacteristic
1089C4⋊Q8C22×D5911yescharacteristic
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—1181no—
1097#126—1181no—
1098#126—1181no—
1099#126—1181no—
1100#126—1181no—
1101#126—1181no—
1102#125—21no—
1103#125—21no—
1104#125—21no—
1105#125—591no—
1106#125—591no—
1107#125—1181no—
1108#125—1181no—
1109#125—1181no—
1110#125—1181no—
1111#125—1181no—
1112#125C22×D5911yescharacteristic
1113#125C22×D5911yescharacteristic
1114#124—21no—
1115#124—21no—
1116#124—591no—
1117#124—591no—
1118#124—1181no—
1119#124—1181no—
1120#124C22×D5911yescharacteristic
1121#124C22×D5911yescharacteristic
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—1181no—
1131#123—1181no—
1132#123—1181no—
1133#123—1181no—
1134#123—1181no—
1135#123—1181no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—591no—
1142C22⋊Q8—591no—
1143C22⋊Q8—591no—
1144C22⋊Q8—591no—
1145C22⋊Q8—1181no—
1146C22⋊Q8—1181no—
1147C22⋊Q8—1181no—
1148C22⋊Q8—1181no—
1149C22⋊Q8—1181no—
1150C22⋊Q8—1181no—
1151C22⋊Q8—1181no—
1152C22⋊Q8C22×D5911yescharacteristic
1153C22⋊Q8C22×D5911yescharacteristic
1154C22⋊Q8C22×D5911yescharacteristic
1155C22⋊Q8C22×D5911yescharacteristic
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—591no—
1161#121—591no—
1162#121—1181no—
1163#121—1181no—
1164#121C22×D5911yescharacteristic
1165#121C22×D5911yescharacteristic
1166#120—21no—
1167#120—21no—
1168C4×Q8—21no—
1169C4×Q8—591no—
1170C4×Q8—591no—
1171C4×Q8—591no—
1172C4×Q8—591no—
1173C4×Q8—591no—
1174C4×Q8—591no—
1175C4×Q8—591no—
1176C4×Q8—591no—
1177C4×Q8—1181no—
1178C4×Q8—1181no—
1179C4×Q8—1181no—
1180C4×Q8—1181no—
1181C4×Q8—1181no—
1182C4×Q8—1181no—
1183C4×Q8C22⋊D5911yescharacteristic
1184C4×Q8C22×D5911yescharacteristic
1185C4×Q8C22×D5911yescharacteristic
1186C4×Q8C22×D5911yescharacteristic
1187C4×Q8C22×D5911yescharacteristic
1188C4×Q8C22×D5911yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—591no—
1198C4×D4—591no—
1199C4×D4—1181no—
1200C4×D4—1181no—
1201C4×D4—1181no—
1202C4×D4—1181no—
1203C4×D4—1181no—
1204C4×D4—1181no—
1205C4×D4—1181no—
1206C4×D4C22⋊D5911yescharacteristic
1207C4×D4C22⋊D5911yescharacteristic
1208C4×D4C22⋊D5911yescharacteristic
1209C4×D4C22×D5911yescharacteristic
1210C4×D4C22×D5911yescharacteristic
1211C4×D4C22×D5911yescharacteristic
1212C4×D4C22×D5911yescharacteristic
1213C4×D4C22×D5911yescharacteristic
1214C4×D4C22×D5911yescharacteristic
1215C4×D4C22×D5911yescharacteristic
1216C4×D4C22×D5911yescharacteristic
1217C4×D4C22×D5911yescharacteristic
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—591no—
1228#117—1181no—
1229#117—1181no—
1230#117—1181no—
1231#117—1181no—
1232#117—1181no—
1233#117—1181no—
1234#117—1181no—
1235#117C22⋊D5911yescharacteristic
1236#117C22⋊D5911yescharacteristic
1237#117C22⋊D5911yescharacteristic
1238#117C22×D5911yescharacteristic
1239#117C22×D5911yescharacteristic
1240C2×C4⋊C4—21no—
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—591no—
1243C2×C4⋊C4—591no—
1244C2×C4⋊C4—1181no—
1245C2×C4⋊C4—1181no—
1246C2×C4⋊C4C22×D5911yescharacteristic
1247C2×C22⋊C4—21no—
1248C2×C22⋊C4—21no—
1249C2×C22⋊C4—21no—
1250C2×C42—21no—
1251C2×C42—21no—
1252C2×C42—1181no—
1253C2×C42—1181no—
1254C2×C42—1181no—
1255C2×C42C22×D5911yescharacteristic
1256C2×C42C22×D5911yescharacteristic
1257C2×C42C22×D5911yescharacteristic
1258#107—591no—
1259#107—591no—
1260#107—591no—
1261#107—591no—
1262#107—591no—
1263#107—591no—
1264#107—591no—
1265#107—591no—
1266#106—591no—
1267#106—591no—
1268#106—591no—
1269#106—591no—
1270#106—591no—
1271#106—591no—
1272#106—591no—
1273#106—591no—
1274C4⋊C8—591no—
1275C4⋊C8—591no—
1276C4⋊C8—591no—
1277C4⋊C8—591no—
1278C4⋊C8—591no—
1279C4⋊C8—591no—
1280#103—591no—
1281#103—591no—
1282#103—591no—
1283#103—591no—
1284#103—591no—
1285#103—591no—
1286#103—591no—
1287#103—591no—
1288#103—591no—
1289#103—591no—
1290#103—591no—
1291#103—591no—
1292#103—591no—
1293#103—591no—
1294#103—591no—
1295#103—591no—
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#102—591no—
1301#102—591no—
1302#102—591no—
1303#102—591no—
1304#102—591no—
1305#102—591no—
1306#102—591no—
1307#102—591no—
1308#102—591no—
1309#102—591no—
1310#102—591no—
1311#102—591no—
1312C22⋊C8—591no—
1313C22⋊C8—591no—
1314C22⋊C8—591no—
1315C22⋊C8—591no—
1316C22⋊C8—591no—
1317C22⋊C8—591no—
1318#97—591no—
1319#97—591no—
1320#97—591no—
1321#97—591no—
1322#97—591no—
1323#97—591no—
1324#97—591no—
1325#97—591no—
1326C4×C8—591no—
1327C4×C8—591no—
1328C24—21no—
1329#41—22no—
1330#41—22no—
1331#41—42no—
1332#41—41no—
1333#41—41no—
1334#41—1182no—
1335#41—2361no—
1336#41—2364no—
1337C2×Q8—21no—
1338C2×Q8—591no—
1339C2×Q8—591no—
1340C2×Q8—591no—
1341C2×Q8—1182no—
1342C2×Q8—1182no—
1343C2×Q8—1181no—
1344C2×Q8—1181no—
1345C2×Q8—1181no—
1346C2×Q8—2361no—
1347C2×Q8—2361no—
1348C2×Q8C2×C22⋊D5911yescharacteristic
1349C2×Q8C23×D5911yescharacteristic
1350C2×Q8C23×D5911yescharacteristic
1351C2×D4—22no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—41no—
1358C2×D4—591no—
1359C2×D4—1181no—
1360C2×D4—1181no—
1361C2×D4—1181no—
1362C2×D4C2×C22⋊D5911yescharacteristic
1363C2×D4C2×C22⋊D5911yescharacteristic
1364C2×D4C2×C22⋊D5911yescharacteristic
1365C2×D4C23×D5911yescharacteristic
1366C2×D4C23×D5911yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—44no—
1377C22×C4—1181no—
1378C22×C4—1181no—
1379C22×C4—1181no—
1380C22×C4—1181no—
1381C22×C4—1181no—
1382C22×C4—1181no—
1383C22×C4—1181no—
1384C22×C4C2×C22⋊D5911yescharacteristic
1385C22×C4C2×C22⋊D5911yescharacteristic
1386C22×C4C2×C22⋊D5911yescharacteristic
1387C22×C4C2×C22⋊D5911yescharacteristic
1388C22×C4C2×C22⋊D5911yescharacteristic
1389C22×C4C2×C22⋊D5911yescharacteristic
1390C22×C4C23×D5911yescharacteristic
1391C22×C4C23×D5911yescharacteristic
1392C22×C4C23×D5911yescharacteristic
1393Q16—1182no—
1394Q16—1182no—
1395Q16—1182no—
1396Q16—2361no—
1397Q16—2361no—
1398Q16—2361no—
1399SD16—594no—
1400SD16—1182no—
1401SD16—1182no—
1402SD16—1182no—
1403SD16—1182no—
1404SD16—1182no—
1405SD16—2361no—
1406SD16—2361no—
1407D8—1182no—
1408D8—2361no—
1409M16—1182no—
1410M16—2361no—
1411C2×C8—591no—
1412C2×C8—591no—
1413C2×C8—591no—
1414C2×C8—591no—
1415C2×C8—591no—
1416C2×C8—591no—
1417C2×C8—591no—
1418C2×C8—591no—
1419C2×C8—1182no—
1420C2×C8—1182no—
1421C2×C8—2361no—
1422C2×C8—2361no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—591no—
1440C4⋊C4—591no—
1441C4⋊C4—591no—
1442C4⋊C4—591no—
1443C4⋊C4—1181no—
1444C4⋊C4—1181no—
1445C4⋊C4—1181no—
1446C4⋊C4—1181no—
1447C4⋊C4—1181no—
1448C4⋊C4—1181no—
1449C4⋊C4—1181no—
1450C4⋊C4—1181no—
1451C4⋊C4—1181no—
1452C4⋊C4—1181no—
1453C4⋊C4—1181no—
1454C4⋊C4—1181no—
1455C4⋊C4—1181no—
1456C4⋊C4—1181no—
1457C4⋊C4—1181no—
1458C4⋊C4—1181no—
1459C4⋊C4—1181no—
1460C4⋊C4—1181no—
1461C4⋊C4—1181no—
1462C4⋊C4—1181no—
1463C4⋊C4—1181no—
1464C4⋊C4C2×C22⋊D5911yescharacteristic
1465C4⋊C4C2×C22⋊D5911yescharacteristic
1466C4⋊C4C2×C22⋊D5911yescharacteristic
1467C4⋊C4C2×C22⋊D5911yescharacteristic
1468C4⋊C4C2×C22⋊D5911yescharacteristic
1469C4⋊C4C2×C22⋊D5911yescharacteristic
1470C4⋊C4C23×D5911yescharacteristic
1471C4⋊C4C23×D5911yescharacteristic
1472C4⋊C4C23×D5911yescharacteristic
1473C4⋊C4C23×D5911yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—1181no—
1493C22⋊C4—1181no—
1494C22⋊C4—1181no—
1495C22⋊C4—1181no—
1496C22⋊C4—1181no—
1497C22⋊C4—1181no—
1498C22⋊C4—1181no—
1499C22⋊C4—1181no—
1500C22⋊C4—1181no—
1501C22⋊C4—1181no—
1502C22⋊C4—1181no—
1503C22⋊C4—1181no—
1504C22⋊C4—1181no—
1505C22⋊C4C2×C22⋊D5911yescharacteristic
1506C22⋊C4C2×C22⋊D5911yescharacteristic
1507C22⋊C4C2×C22⋊D5911yescharacteristic
1508C22⋊C4C2×C22⋊D5911yescharacteristic
1509C22⋊C4C2×C22⋊D5911yescharacteristic
1510C22⋊C4C2×C22⋊D5911yescharacteristic
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—1181no—
1518C42—1181no—
1519C42—1181no—
1520C42—1181no—
1521C42—1181no—
1522C42—1181no—
1523C42—1181no—
1524C42—1181no—
1525C42—1181no—
1526C42C2×C22⋊D5911yescharacteristic
1527C42C2×C22⋊D5911yescharacteristic
1528C42C2×C22⋊D5911yescharacteristic
1529C42C2×C22⋊D5911yescharacteristic
1530C42C2×C22⋊D5911yescharacteristic
1531C42C2×C22⋊D5911yescharacteristic
1532C42C23×D5911yescharacteristic
1533C42C23×D5911yescharacteristic
1534C42C23×D5911yescharacteristic
1535C42C23×D5911yescharacteristic
1536C23—21no—
1537C23—21no—
1538C23—42no—
1539C23—42no—
1540C23—81no—
1541C23—1181no—
1542C23C22×C22⋊D5911yescharacteristic
1543C23C22×C22⋊D5911yescharacteristic
1544C23C22×C22⋊D5911yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—41no—
1550Q8—81no—
1551Q8—592no—
1552Q8—1181no—
1553Q8—1181no—
1554Q8—1181no—
1555Q8—1181no—
1556Q8—1181no—
1557Q8—2362no—
1558Q8—2362no—
1559Q8—2362no—
1560D4—22no—
1561D4—22no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—41no—
1566D4—42no—
1567D4—42no—
1568D4—42no—
1569D4—81no—
1570D4—81no—
1571D4—1181no—
1572D4—1181no—
1573D4—2362no—
1574D4—2362no—
1575D4—2362no—
1576D4#41×D5912yes—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—42no—
1596C2×C4—42no—
1597C2×C4—42no—
1598C2×C4—42no—
1599C2×C4—42no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—1181no—
1611C2×C4—2362no—
1612C2×C4—2362no—
1613C2×C4—2362no—
1614C2×C4—2362no—
1615C2×C4—2362no—
1616C2×C4—2362no—
1617C2×C4—2362no—
1618C2×C4C22×C22⋊D5911yescharacteristic
1619C2×C4C22×C22⋊D5911yescharacteristic
1620C2×C4C22×C22⋊D5911yescharacteristic
1621C2×C4C22×C22⋊D5911yescharacteristic
1622C2×C4C22×C22⋊D5911yescharacteristic
1623C2×C4C22×C22⋊D5911yescharacteristic
1624C2×C4C22×C22⋊D5911yescharacteristic
1625C2×C4C22×C22⋊D5911yescharacteristic
1626C2×C4C22×C22⋊D5911yescharacteristic
1627C2×C4C22×C22⋊D5911yescharacteristic
1628C2×C4C22×C22⋊D5911yescharacteristic
1629C2×C4C24×D5911yescharacteristic
1630C8—592no—
1631C8—1181no—
1632C8—1181no—
1633C8—1181no—
1634C8—1181no—
1635C8—1181no—
1636C8—1181no—
1637C8—1181no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—22no—
1645C22—21no—
1646C22—21no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—84no—
1653C22—2361no—
1654C22—2361no—
1655C22—2361no—
1656C22#1683820012yes—
1657C22C23×C22⋊D5911yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—1182no—
1676C4—2361no—
1677C4—2361no—
1678C4—2361no—
1679C4—2361no—
1680C4—2361no—
1681C4—2361no—
1682C4C2×#41×D5911yescharacteristic
1683C4#1683823811yescharacteristic
1684C2—22no—
1685C2—41no—
1686C2—41no—
1687C2—42no—
1688C2—81no—
1689C2—4721no—
1690C2#41×C22⋊D5911yescharacteristic
1691C2C2×#1683820011yescharacteristic
1692C2#2143888211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3475C2
socleC22×C59C23×D4
hypercenter#3475D59
hypocenterC59#61455
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3475

Complements

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

NH ≅ G/Ntype
1. #21437711C2semidirect
2. #21437171C2semidirect
3. #21437041C2semidirect
4. #21436932C2semidirect
5. #21436923C2semidirect
6. #21436611C2semidirect
7. #21436536C2semidirect
8. #21436458C2semidirect
9. #21436276C2semidirect
10. #21436192C2semidirect
11. #21436141C2semidirect
12. #21436057C2semidirect
13. #21435977C2semidirect
14. #21435931C2semidirect
15. #21435799C2semidirect
16. #21435647C2semidirect
17. #21435602C2semidirect
18. #21434819C2semidirect
19. #21434806C2semidirect
20. #21434799C2semidirect
21. #21434263C2semidirect
22. #21434258C2semidirect
23. #21434234C2semidirect
24. #21434222C2semidirect
25. #21434205C2semidirect
26. #21434199C2semidirect
27. #21433110C2semidirect
28. C4×#14273757C2semidirect
29. #21432894C2semidirect
30. C2×#16837502C2semidirect
31. C59×#3475C2semidirect
35. #16838130C22semidirect
36. #16838125C22semidirect
39. #16838092C22semidirect
44. #16838061C22semidirect
47. #16837959C22semidirect
50. #16837936C22semidirect
53. C4×#11745685C22semidirect
56. C2×C4×Dic118C22semidirect
57. #16837812C22semidirect
58. #16837808C22semidirect
59. #16837801C22semidirect
61. #16837794C22semidirect
63. #16837772C22semidirect
64. #16837770C22semidirect
65. #16837764C22semidirect
67. #16837759C22semidirect
69. #16837743C22semidirect
70. #16837743C22semidirect
71. #16837743C22semidirect
72. #16837740C22semidirect
73. #16837735C22semidirect
77. #16837726C22semidirect
81. #16837709C22semidirect
82. #16837706C22semidirect
83. #16837706C22semidirect
84. #16837706C22semidirect
88. #16837699C22semidirect
89. #16837697C22semidirect
91. #16837684C22semidirect
92. #16837684C22semidirect
93. #16837658C22semidirect
95. #16837650C22semidirect
99. #16837641C22semidirect
100. #16837641C22semidirect
105. #16837624C22semidirect
113. #16837612C22semidirect
114. #16837609C22semidirect
115. #16837609C22semidirect
120. #16837562C22semidirect
123. #16837557C22semidirect
129. #16837533C22semidirect
130. #16837533C22semidirect
134. #16837507C22semidirect
135. #16837507C22semidirect
136. #16837507C22semidirect
137. #16837507C22semidirect
138. #16837507C22semidirect
139. #16837507C22semidirect
140. #16837507C22semidirect
152. #16837500C22semidirect
153. #16837500C22semidirect
154. #16837500C22semidirect
155. C4×#11745672C22semidirect
156. C4×#11745672C22semidirect
161. #16837474C22semidirect
162. #16837474C22semidirect
166. #16837459C22semidirect
167. #16837459C22semidirect
168. #16837445C22semidirect
169. #16837438C22semidirect
171. #16837410C22semidirect
174. #16837396C22semidirect
177. C4×#11745664C22semidirect
179. C2×#14273638C22semidirect
630. #11745670#41semidirect
839. #3475D59semidirect
1049. C59#61455semidirect

Maximal subgroups

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

subgroupindex
#214377112
#214371712
#214370412
#214369322
#214369232
#214366112
#214365362
#214364582
#214362762
#214361922
#214361412
#214360572
#214359772
#214359312
#214357992
#214356472
#214356022
#214348192
#214348062
#214347992
#214342632
#214342582
#214342342
#214342222
#214342052
#214341992
#214331102
C4×#142737572
#214328942
C2×#168375022
C59×#34752
#6145559