Finite Group Databasebeta

← #29470681

Subgroups — #29470681

Order 15104.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437706C211yesmaximal, characteristic, complemented
2#21437162C211yesmaximal, characteristic, complemented
3#21437050C211yesmaximal, characteristic, complemented
4#21436917C211yesmaximal, characteristic, complemented
5#21436849C211yesmaximal, characteristic, complemented
6#21436596C211yesmaximal, characteristic, complemented
7#21436551C211yesmaximal, characteristic, complemented
8#21436475C211yesmaximal, characteristic, complemented
9#21436246C211yesmaximal, characteristic, complemented
10#21436177C211yesmaximal, characteristic, complemented
11#21436111C211yesmaximal, characteristic, complemented
12#21436072C211yesmaximal, characteristic, complemented
13#21435946C211yesmaximal, characteristic, complemented
14#21435925C211yesmaximal, characteristic, complemented
15#21435777C211yesmaximal, characteristic, complemented
16#21435622C211yesmaximal, characteristic, complemented
17#21435577C211yesmaximal, characteristic, complemented
18#21434819C211yesmaximal, characteristic, complemented
19#21434799C211yesmaximal, characteristic, complemented
20#21434795C211yesmaximal, characteristic, complemented
21#21434247C211yesmaximal, characteristic, complemented
22#21434234C211yesmaximal, characteristic, complemented
23#21434230C211yesmaximal, characteristic, complemented
24#21434205C211yesmaximal, characteristic, complemented
25#21434199C211yesmaximal, characteristic, complemented
26#21434191C211yesmaximal, characteristic, complemented
27#21433110C211yesmaximal, characteristic, complemented
28C4×#14273752C211yesmaximal, characteristic, complemented
29#21432894C211yesmaximal, characteristic, complemented
30C2×#16837512C211yesmaximal, characteristic, complemented
31C59×#3475C211yesmaximal, characteristic, complemented
32C2×#14273752C2211yescharacteristic
33C2×#14273747C2211yescharacteristic
34C22×#11745669C2211yescharacteristic
35#16838137C2211yescharacteristic, complemented
36#16838112C2211yescharacteristic, complemented
37#16838109C2211yescharacteristic
38#16838098C2211yescharacteristic
39#16838098C2211yescharacteristic, complemented
40#16838096—21no—
41#16838076—21no—
42#16838076—21no—
43#16838048C2211yescharacteristic
44#16838048C2211yescharacteristic, complemented
45#16838040—21no—
46D4×D236C2211yescharacteristic
47#16837952C2211yescharacteristic, complemented
48#16837939—21no—
49#16837936C2211yescharacteristic
50#16837936C2211yescharacteristic, complemented
51#16837911—21no—
52#16837911—21no—
53C4×#11745685C2211yescharacteristic, complemented
54C2×C4×D236C2211yescharacteristic
55C2×C4×D236C2211yescharacteristic, complemented
56C4×D4×D59—21no—
57#16837812C2211yescharacteristic, complemented
58#16837808C2211yescharacteristic, complemented
59#16837801C2211yescharacteristic, complemented
60#16837794C2211yescharacteristic, complemented
61#16837792C2211yescharacteristic
62#16837784C2211yescharacteristic, complemented
63#16837770C2211yescharacteristic, complemented
64#16837768C2211yescharacteristic, complemented
65#16837764C2211yescharacteristic, complemented
66#16837761C2211yescharacteristic, complemented
67#16837759C2211yescharacteristic, complemented
68#16837756C2211yescharacteristic, complemented
69#16837743C2211yescharacteristic, complemented
70#16837740C2211yescharacteristic, complemented
71#16837735C2211yescharacteristic, complemented
72#16837735C2211yescharacteristic, complemented
73#16837732C2211yescharacteristic, complemented
74#16837730C2211yescharacteristic, complemented
75#16837726C2211yescharacteristic, complemented
76#16837726C2211yescharacteristic, complemented
77#16837726C2211yescharacteristic, complemented
78#16837723C2211yescharacteristic, complemented
79#16837715C2211yescharacteristic
80#16837713C2211yescharacteristic, complemented
81#16837709C2211yescharacteristic, complemented
82#16837706C2211yescharacteristic, complemented
83#16837702C2211yescharacteristic, complemented
84#16837702C2211yescharacteristic, complemented
85#16837702C2211yescharacteristic, complemented
86#16837699C2211yescharacteristic, complemented
87#16837699C2211yescharacteristic, complemented
88#16837699C2211yescharacteristic, complemented
89#16837687C2211yescharacteristic, complemented
90#16837682C2211yescharacteristic, complemented
91#16837679C2211yescharacteristic, complemented
92#16837679C2211yescharacteristic, complemented
93#16837658C2211yescharacteristic, complemented
94#16837653C2211yescharacteristic
95#16837650C2211yescharacteristic, complemented
96#16837646C2211yescharacteristic, complemented
97#16837641C2211yescharacteristic, complemented
98#16837641C2211yescharacteristic, complemented
99#16837636C2211yescharacteristic, complemented
100#16837636C2211yescharacteristic, complemented
101#16837633C2211yescharacteristic
102#16837633C2211yescharacteristic
103#16837633C2211yescharacteristic, complemented
104#16837633C2211yescharacteristic, complemented
105#16837624C2211yescharacteristic, complemented
106#16837621C2211yescharacteristic, complemented
107#16837617C2211yescharacteristic, complemented
108#16837617C2211yescharacteristic, complemented
109#16837617C2211yescharacteristic, complemented
110#16837614C2211yescharacteristic
111#16837614C2211yescharacteristic
112#16837614C2211yescharacteristic, complemented
113#16837604C2211yescharacteristic, complemented
114#16837604C2211yescharacteristic, complemented
115#16837602C2211yescharacteristic, complemented
116#16837597C2211yescharacteristic
117#16837564C2211yescharacteristic, complemented
118#16837562C2211yescharacteristic, complemented
119#16837553C2211yescharacteristic, complemented
120#16837552C2211yescharacteristic
121#16837552C2211yescharacteristic
122#16837552C2211yescharacteristic, complemented
123#16837547C2211yescharacteristic
124#16837547C2211yescharacteristic, complemented
125#16837547C2211yescharacteristic, complemented
126#16837545C2211yescharacteristic
127#16837536C2211yescharacteristic
128#16837535C2211yescharacteristic
129#16837533C2211yescharacteristic, complemented
130#16837533C2211yescharacteristic, complemented
131#16837512C2211yescharacteristic
132#16837512C2211yescharacteristic
133#16837512C2211yescharacteristic
134#16837512C2211yescharacteristic
135#16837512C2211yescharacteristic
136#16837512C2211yescharacteristic, complemented
137#16837512C2211yescharacteristic, complemented
138#16837512C2211yescharacteristic, complemented
139#16837512C2211yescharacteristic, complemented
140#16837512C2211yescharacteristic, complemented
141#16837512C2211yescharacteristic, complemented
142#16837507C2211yescharacteristic, complemented
143#16837507C2211yescharacteristic, complemented
144#16837507C2211yescharacteristic, complemented
145#16837502C2211yescharacteristic, complemented
146#16837502C2211yescharacteristic, complemented
147#16837502C2211yescharacteristic, complemented
148#16837500C2211yescharacteristic, complemented
149#16837500C2211yescharacteristic, complemented
150#16837500C2211yescharacteristic, complemented
151#16837500C2211yescharacteristic, complemented
152#16837500C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154#16837500C2211yescharacteristic, complemented
155C4×#11745671C2211yescharacteristic, complemented
156C4×#11745671C2211yescharacteristic, 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#16837445C2211yescharacteristic, complemented
169#16837438C2211yescharacteristic, complemented
170C2×#14273658C2211yescharacteristic, complemented
171#16837406C2211yescharacteristic, complemented
172#16837403C2211yescharacteristic, complemented
173#16837398C2211yescharacteristic, complemented
174#16837396C2211yescharacteristic, complemented
175C2×#14273648C2211yescharacteristic, complemented
176C2×#14273647C2211yescharacteristic
177C4×#11745664C2211yescharacteristic, complemented
178C2×#14273638C2211yescharacteristic, complemented
179C2×#14273638C2211yescharacteristic, complemented
180C59×#556C2211yescharacteristic, complemented
181C59×#555C2211yescharacteristic, complemented
182C59×#554C2211yescharacteristic, complemented
183C59×#553—21no—
184C59×#552—21no—
185C59×#552C2211yescharacteristic
186C59×#552C2211yescharacteristic, complemented
187C59×#551—21no—
188C59×#551—21no—
189C59×#547C2211yescharacteristic, complemented
190C59×#546C2211yescharacteristic
191C59×#546C2211yescharacteristic, complemented
192C59×#533C2211yescharacteristic, complemented
193C59×#529—21no—
194C59×#529—21no—
195C59×#529C2211yescharacteristic, complemented
196C59×#529C2211yescharacteristic, complemented
197C59×#525—21no—
198C4×#41×C59C2211yescharacteristic
199C4×#41×C59C2211yescharacteristic, complemented
200C4×#41×C59C2211yescharacteristic, complemented
201C2×C4×D4×C59C2211yescharacteristic, complemented
202C2×#117×C59—21no—
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C2×D4×D59—21no—
208C22×C4×D59—21no—
209C22×C4×D59—21no—
210#14273752—24no—
211#14273747—24no—
212C2×#11745672C2311yescharacteristic
213C2×#11745672C2311yescharacteristic
214C2×#11745670C2311yescharacteristic
215C2×#11745670C2311yescharacteristic
216C2×#11745671C2311yescharacteristic
217C2×#11745671C2311yescharacteristic
218C2×#11745671C2311yescharacteristic
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745669—24no—
223C2×#11745669C2311yescharacteristic
224C2×#11745669C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745664C2311yescharacteristic
230C2×#11745664C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232C22×C59⋊C8C2311yescharacteristic
233C22×C59⋊C8C2311yescharacteristic
234C22×C59⋊C8C2311yescharacteristic
235#14273727C2311yescharacteristic
236#14273724C2311yescharacteristic
237#14273722—21no—
238#14273722—21no—
239#14273721—21no—
240#14273721—21no—
241#14273719C2311yescharacteristic
242#14273719C2311yescharacteristic
243#14273718—21no—
244#14273716—21no—
245#14273715—21no—
246#14273715C2311yescharacteristic
247#14273715C2311yescharacteristic
248#14273712—21no—
249#14273712—21no—
250#14273712—21no—
251#14273712—21no—
252#14273710—21no—
253#14273710—21no—
254#14273709—21no—
255#14273709—21no—
256#14273706C2311yescharacteristic
257#14273706C2311yescharacteristic
258#14273705—21no—
259#14273705—21no—
260#14273704—21no—
261#14273704—21no—
262#14273703—21no—
263#14273702—21no—
264#14273701—21no—
265#14273701C2311yescharacteristic
266#14273701C2311yescharacteristic
267#14273701C2311yescharacteristic
268#14273701C2311yescharacteristic
269#14273700—21no—
270#14273700—21no—
271#14273699—21no—
272#14273699—21no—
273#14273697—21no—
274#14273697—21no—
275#14273695—21no—
276#14273695—21no—
277C4×Dic118C2311yescharacteristic
278C4×Dic118C2311yescharacteristic
279C4×D236—21no—
280C4×D236—21no—
281C4×D236—21no—
282C4×D236—21no—
283C4×D236—21no—
284C4×D236C2311yescharacteristic
285C4×D236C2311yescharacteristic
286C4×D236C2311yescharacteristic
287C4×D236C2311yescharacteristic
288C4×D236C2311yescharacteristic
289C4×D236C2311yescharacteristic
290C4×D236C2311yescharacteristic
291C4×D236C2311yescharacteristic
292D4×Dic59—21no—
293#14273689—21no—
294C4×C22⋊D59—21no—
295C4×C22⋊D59—21no—
296C4×C22⋊D59—21no—
297C4×C22⋊D59—21no—
298(C22⋊D59)⋊C4—21no—
299(C22⋊D59)⋊C4—21no—
300#14273686C2311yescharacteristic
301#14273684—21no—
302#14273684—21no—
303#14273684—21no—
304C2×C4⋊Dic59C2311yescharacteristic
305C2×C4⋊Dic59C2311yescharacteristic
306C4⋊C4×D59—21no—
307C2×(C2×D59)⋊C4—21no—
308C2×(C2×D59)⋊C4—21no—
309C22⋊C4×D59—21no—
310C22⋊C4×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#14273651C2311yescharacteristic
339#14273651C2311yescharacteristic
340#14273651C2311yescharacteristic
341#14273651C2311yescharacteristic
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#14273647C2311yescharacteristic
355#14273647C2311yescharacteristic
356#14273647C2311yescharacteristic
357#14273647C2311yescharacteristic
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×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—
482C23×D59—21no—
483C23×D59—21no—
484#41×C59—22no—
485#41×C59—22no—
486#41×C59—42no—
487#41×C59—41no—
488#41×C59—41no—
489C2×Q8×C59—21no—
490C2×Q8×C59C2×D411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—22no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—41no—
500C2×D4×C59C2×D411yescharacteristic
501C2×D4×C59C2×D411yescharacteristic
502C2×D4×C59C2×D411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
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—21no—
513C22×C4×C59—21no—
514C22×C4×C59—44no—
515C22×C4×C59C2×D411yescharacteristic
516C22×C4×C59C2×D411yescharacteristic
517C22×C4×C59C2×D411yescharacteristic
518C22×C4×C59C2×D411yescharacteristic
519C22×C4×C59C2×D411yescharacteristic
520C22×C4×C59C2×D411yescharacteristic
521C22×C4×C59C2411yescharacteristic
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—
529C22×Dic59—21no—
530C22×Dic59—21no—
531D4×D59—44no—
532#11745685—22no—
533#11745685—41no—
534#11745685—82no—
535C2×D236—22no—
536C2×D236—22no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—41no—
542C2×D236—41no—
543C2×D236C2411yescharacteristic
544C2×D236C2411yescharacteristic
545C2×D236C2411yescharacteristic
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
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×C4×D59—82no—
556C2×C4×D59—82no—
557C2×Dic118—21no—
558C2×Dic118C2411yescharacteristic
559C4⋊C4×C59—21no—
560C4⋊C4×C59—21no—
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×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59C2×D411yescharacteristic
576C4⋊C4×C59C2×D411yescharacteristic
577C4⋊C4×C59C2×D411yescharacteristic
578C4⋊C4×C59C2×D411yescharacteristic
579C4⋊C4×C59C2×D411yescharacteristic
580C4⋊C4×C59C2×D411yescharacteristic
581C4⋊C4×C59C2411yescharacteristic
582C4⋊C4×C59C2411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59C2×D411yescharacteristic
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C22⋊C4×C59C2×D411yescharacteristic
607C22⋊C4×C59C2×D411yescharacteristic
608C22⋊C4×C59C2×D411yescharacteristic
609C42×C59—21no—
610C42×C59—21no—
611C42×C59—21no—
612C42×C59—21no—
613C42×C59—21no—
614C42×C59—21no—
615C42×C59C2×D411yescharacteristic
616C42×C59C2×D411yescharacteristic
617C42×C59C2×D411yescharacteristic
618C42×C59C2×D411yescharacteristic
619C42×C59C2×D411yescharacteristic
620C42×C59C2×D411yescharacteristic
621C42×C59C2411yescharacteristic
622C42×C59C2411yescharacteristic
623C42×C59C2411yescharacteristic
624C42×C59C2411yescharacteristic
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628#11745672—22no—
629#11745672—41no—
630#11745671—22no—
631#11745671—22no—
632#11745671—22no—
633#11745671—41no—
634#11745671—41no—
635#11745671—41no—
636#11745670—22no—
637#11745670—41no—
638#11745669—22no—
639#11745669—22no—
640#11745669—22no—
641#11745669—22no—
642#11745669—41no—
643#11745669#4114yescomplemented
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—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59C2411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—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—42no—
695C23×C59—42no—
696C23×C59—81no—
697C23×C59C22×D411yescharacteristic
698C23×C59C22×D411yescharacteristic
699C23×C59C22×D411yescharacteristic
700C22×D59—21no—
701C22×D59—21no—
702C22×D59—21no—
703C22×D59—42no—
704C22×D59—42no—
705C22×D59—42no—
706C22×D59—42no—
707C22×D59—81no—
708C22×D59—81no—
709Q8×C59—21no—
710Q8×C59—21no—
711Q8×C59—21no—
712Q8×C59—21no—
713Q8×C59—41no—
714Q8×C59—81no—
715D4×C59—22no—
716D4×C59—22no—
717D4×C59—21no—
718D4×C59—21no—
719D4×C59—21no—
720D4×C59—41no—
721D4×C59—42no—
722D4×C59—42no—
723D4×C59—42no—
724D4×C59—81no—
725D4×C59—81no—
726D4×C59C2×#4112yes—
727C2×C4×C59—22no—
728C2×C4×C59—21no—
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—42no—
751C2×C4×C59—42no—
752C2×C4×C59—81no—
753C2×C4×C59—81no—
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
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×C59C2511yescharacteristic
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—81no—
777C2×Dic59—81no—
778D236—21no—
779D236—21no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—42no—
784D236—42no—
785D236—42no—
786D236—81no—
787D236C2×#4112yes—
788C4×D59—42no—
789C4×D59—42no—
790C4×D59—42no—
791C4×D59—42no—
792C4×D59—42no—
793C4×D59—81no—
794C4×D59—81no—
795C4×D59—81no—
796C4×D59—81no—
797Dic118—21no—
798Dic118—21no—
799Dic118—81no—
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#61454—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—84no—
824C22×C59#57512yes—
825C22×C59C23×D411yescharacteristic
826C2×D59—22no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—84no—
836C2×D59—84no—
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—21no—
848C4×C59—41no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59—41no—
853C4×C59—41no—
854C4×C59C22×#4111yescharacteristic
855C4×C59#58511yescharacteristic
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860Dic59—41no—
861#3481—591no—
862#3475D5911yescharacteristic, complemented
863#3401—591no—
864#3389—591no—
865#3376—591no—
866#3370—591no—
867#3347—591no—
868#3344—591no—
869#3337—591no—
870#3319—591no—
871#3314—591no—
872#3310—591no—
873#3307—591no—
874#3297—591no—
875#3296—591no—
876#3280—591no—
877#3267—591no—
878#3264—591no—
879#3183—591no—
880#3181—591no—
881#3180—591no—
882#3115—591no—
883#3114—591no—
884#3114—591no—
885#3111—591no—
886#3111—591no—
887#3110—591no—
888#2970—591no—
889C4×AGL(1,ℤ/8)—591no—
890#2943—591no—
891C2×#442—591no—
892C2×C59—22no—
893C2×C59—41no—
894C2×C59—41no—
895C2×C59—42no—
896C2×C59—81no—
897C2×C59D4×#4111yescharacteristic
898C2×C59C2×#57511yescharacteristic
899C2×C59#358511yescharacteristic
900D59—42no—
901D59—81no—
902D59—81no—
903C2×AGL(1,ℤ/8)—591no—
904C2×#135—591no—
905C22×D8—591no—
906#559—591no—
907#556C2×D5911yescharacteristic, complemented
908#555C2×D5911yescharacteristic, complemented
909#554—591no—
910#554—591no—
911#554C2×D5911yescharacteristic, complemented
912#553—21no—
913#553—591no—
914#553—591no—
915#553—1181no—
916#552—21no—
917#552C2×D5911yescharacteristic
918#552C2×D5911yescharacteristic, complemented
919#551—21no—
920#551—21no—
921#551—1181no—
922#551—1181no—
923#547C2×D5911yescharacteristic, complemented
924#546—591no—
925#546—591no—
926#546—1181no—
927#546C2×D5911yescharacteristic
928#546C2×D5911yescharacteristic, complemented
929D42—591no—
930#533C2×D5911yescharacteristic, complemented
931#532—591no—
932#529—21no—
933#529—21no—
934#529—591no—
935#529—591no—
936#529—1181no—
937#529C2×D5911yescharacteristic, complemented
938#529C2×D5911yescharacteristic, complemented
939#525—21no—
940#525—1181no—
941#525—1181no—
942C4×#41—591no—
943C4×#41C2×D5911yescharacteristic
944C4×#41C2×D5911yescharacteristic, complemented
945C4×#41C2×D5911yescharacteristic, complemented
946C2×C4×D4—591no—
947C2×C4×D4—591no—
948C2×C4×D4—1181no—
949C2×C4×D4C2×D5911yescharacteristic, complemented
950C2×#117—21no—
951#501—591no—
952#501—591no—
953#499—591no—
954#497—591no—
955#496—591no—
956#495—591no—
957#491—591no—
958#490—591no—
959#489—591no—
960#489—591no—
961#488—591no—
962#488—591no—
963#485—591no—
964#485—591no—
965#484—591no—
966#484—591no—
967#483—591no—
968#483—591no—
969#482—591no—
970#482—591no—
971#482—591no—
972#482—591no—
973#480—591no—
974#480—591no—
975#479—591no—
976#479—591no—
977#478—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#478—591no—
983#475—591no—
984#474—591no—
985#474—591no—
986#474—591no—
987#470—591no—
988#469—591no—
989#468—591no—
990#468—591no—
991#467—591no—
992#467—591no—
993#466—591no—
994#466—591no—
995#465—591no—
996#465—591no—
997#465—591no—
998#465—591no—
999#464—591no—
1000#464—591no—
1001#463—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#463—591no—
1007#461—591no—
1008#461—591no—
1009#460—591no—
1010#459—591no—
1011#452—591no—
1012#452—591no—
1013#450—591no—
1014#450—591no—
1015#450—591no—
1016#450—591no—
1017#449—591no—
1018#449—591no—
1019#449—591no—
1020#449—591no—
1021#447—591no—
1022#447—591no—
1023#446—591no—
1024#446—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#442—591no—
1032#442—591no—
1033#442—591no—
1034#442—591no—
1035#442—591no—
1036#441—591no—
1037#441—591no—
1038#441—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—
1048#440—591no—
1049C4×SD16—591no—
1050C4×SD16—591no—
1051C4×D8—591no—
1052C4×D8—591no—
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056#435—591no—
1057C8×D4—591no—
1058C8×D4—591no—
1059#432—591no—
1060#432—591no—
1061#432—591no—
1062#428—591no—
1063#427—591no—
1064C2×#106—591no—
1065#418—591no—
1066#417—591no—
1067#416—591no—
1068#416—591no—
1069C2×#102—591no—
1070C2×#102—591no—
1071C4×M16—591no—
1072C2×#97—591no—
1073C2×#97—591no—
1074C59#6145411yescharacteristic, complemented, Sylow
1075C2×#41—591no—
1076C2×#41—1181no—
1077C2×#41C22⋊D5911yescharacteristic
1078C2×#41C22×D5911yescharacteristic
1079C2×#41C22×D5911yescharacteristic
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—1181no—
1083C22×D4C22×D5911yescharacteristic
1084C23×C4—21no—
1085C23×C4—1181no—
1086C23×C4—1181no—
1087AGL(1,ℤ/8)—1184no—
1088#135—1184no—
1089C2×Q16—591no—
1090C2×Q16—591no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16—591no—
1098C2×SD16—591no—
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—591no—
1105C2×D8—1184no—
1106C2×M16—591no—
1107C2×M16—591no—
1108C22×C8—591no—
1109C22×C8—591no—
1110C22×C8—591no—
1111C22×C8—591no—
1112C4⋊Q8—591no—
1113C4⋊Q8C22×D5911yescharacteristic
1114C4⋊Q8C22×D5911yescharacteristic
1115#127—591no—
1116#126—21no—
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#125—21no—
1127#125—21no—
1128#125—21no—
1129#125—591no—
1130#125—591no—
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#124C22×D5911yescharacteristic
1141#124C22×D5911yescharacteristic
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—591no—
1164C22⋊Q8—591no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170C22⋊Q8C22×D5911yescharacteristic
1171C22⋊Q8C22×D5911yescharacteristic
1172C22⋊Q8C22×D5911yescharacteristic
1173C22⋊Q8C22×D5911yescharacteristic
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—591no—
1179#121—591no—
1180#121—591no—
1181#121—591no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121—1181no—
1188#121C22×D5911yescharacteristic
1189#121C22×D5911yescharacteristic
1190#120—21no—
1191#120—21no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195#120—1181no—
1196C4×Q8—21no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8C22⋊D5911yescharacteristic
1200C4×Q8C22×D5911yescharacteristic
1201C4×Q8C22×D5911yescharacteristic
1202C4×Q8C22×D5911yescharacteristic
1203C4×Q8C22×D5911yescharacteristic
1204C4×Q8C22×D5911yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
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×D4C22⋊D5911yescharacteristic
1235C4×D4C22⋊D5911yescharacteristic
1236C4×D4C22⋊D5911yescharacteristic
1237C4×D4C22×D5911yescharacteristic
1238C4×D4C22×D5911yescharacteristic
1239C4×D4C22×D5911yescharacteristic
1240C4×D4C22×D5911yescharacteristic
1241C4×D4C22×D5911yescharacteristic
1242C4×D4C22×D5911yescharacteristic
1243C4×D4C22×D5911yescharacteristic
1244C4×D4C22×D5911yescharacteristic
1245C4×D4C22×D5911yescharacteristic
1246#117—21no—
1247#117—21no—
1248#117—21no—
1249#117—21no—
1250#117—21no—
1251#117—21no—
1252#117—21no—
1253#117—21no—
1254#117—21no—
1255#117—591no—
1256#117—1181no—
1257#117—1181no—
1258#117—1181no—
1259#117C22⋊D5911yescharacteristic
1260#117C22⋊D5911yescharacteristic
1261#117C22⋊D5911yescharacteristic
1262#117C22×D5911yescharacteristic
1263#117C22×D5911yescharacteristic
1264C2×C4⋊C4—21no—
1265C2×C4⋊C4—21no—
1266C2×C4⋊C4—591no—
1267C2×C4⋊C4—591no—
1268C2×C4⋊C4—1181no—
1269C2×C4⋊C4C22×D5911yescharacteristic
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—21no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C22⋊C4—1181no—
1276C2×C22⋊C4—1181no—
1277C2×C42—21no—
1278C2×C42—21no—
1279C2×C42—1181no—
1280C2×C42C22×D5911yescharacteristic
1281C2×C42C22×D5911yescharacteristic
1282C2×C42C22×D5911yescharacteristic
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107—591no—
1289#107—591no—
1290#107—591no—
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106—591no—
1297#106—591no—
1298#106—591no—
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8—591no—
1304C4⋊C8—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#103—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—
1336#102—591no—
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8—591no—
1342C22⋊C8—591no—
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97—591no—
1348#97—591no—
1349#97—591no—
1350#97—591no—
1351C4×C8—591no—
1352C4×C8—591no—
1353C24—21no—
1354C24—1181no—
1355C24—1181no—
1356#41—22no—
1357#41—22no—
1358#41—42no—
1359#41—41no—
1360#41—41no—
1361#41—1182no—
1362#41—4722no—
1363#41—2361no—
1364C2×Q8—21no—
1365C2×Q8—591no—
1366C2×Q8—1181no—
1367C2×Q8C2×C22⋊D5911yescharacteristic
1368C2×Q8C23×D5911yescharacteristic
1369C2×Q8C23×D5911yescharacteristic
1370C2×D4—22no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—41no—
1377C2×D4—591no—
1378C2×D4—591no—
1379C2×D4—591no—
1380C2×D4—1182no—
1381C2×D4—1182no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4—1181no—
1388C2×D4—1181no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—2361no—
1392C2×D4—2361no—
1393C2×D4—2364no—
1394C2×D4C2×C22⋊D5911yescharacteristic
1395C2×D4C2×C22⋊D5911yescharacteristic
1396C2×D4C2×C22⋊D5911yescharacteristic
1397C2×D4C23×D5911yescharacteristic
1398C2×D4C23×D5911yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—44no—
1409C22×C4—1181no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—1181no—
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—4722no—
1421C22×C4—4722no—
1422C22×C4C2×C22⋊D5911yescharacteristic
1423C22×C4C2×C22⋊D5911yescharacteristic
1424C22×C4C2×C22⋊D5911yescharacteristic
1425C22×C4C2×C22⋊D5911yescharacteristic
1426C22×C4C2×C22⋊D5911yescharacteristic
1427C22×C4C2×C22⋊D5911yescharacteristic
1428C22×C4C23×D5911yescharacteristic
1429C22×C4C23×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431Q16—1182no—
1432Q16—2361no—
1433SD16—1182no—
1434SD16—1182no—
1435SD16—1182no—
1436SD16—1182no—
1437SD16—2361no—
1438SD16—2361no—
1439SD16—2361no—
1440SD16—2361no—
1441D8—594no—
1442D8—1182no—
1443D8—1182no—
1444D8—1182no—
1445D8—1182no—
1446D8—2361no—
1447M16—1182no—
1448M16—2361no—
1449C2×C8—591no—
1450C2×C8—591no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—591no—
1454C2×C8—591no—
1455C2×C8—591no—
1456C2×C8—591no—
1457C2×C8—1182no—
1458C2×C8—1182no—
1459C2×C8—2361no—
1460C2×C8—2361no—
1461C4⋊C4—21no—
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—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—591no—
1478C4⋊C4—591no—
1479C4⋊C4—591no—
1480C4⋊C4—591no—
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⋊C4—1181no—
1492C4⋊C4C2×C22⋊D5911yescharacteristic
1493C4⋊C4C2×C22⋊D5911yescharacteristic
1494C4⋊C4C2×C22⋊D5911yescharacteristic
1495C4⋊C4C2×C22⋊D5911yescharacteristic
1496C4⋊C4C2×C22⋊D5911yescharacteristic
1497C4⋊C4C2×C22⋊D5911yescharacteristic
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C4⋊C4C23×D5911yescharacteristic
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⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4C2×C22⋊D5911yescharacteristic
1540C22⋊C4C2×C22⋊D5911yescharacteristic
1541C22⋊C4C2×C22⋊D5911yescharacteristic
1542C22⋊C4C2×C22⋊D5911yescharacteristic
1543C22⋊C4C2×C22⋊D5911yescharacteristic
1544C22⋊C4C2×C22⋊D5911yescharacteristic
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—1181no—
1552C42—1181no—
1553C42—1181no—
1554C42C2×C22⋊D5911yescharacteristic
1555C42C2×C22⋊D5911yescharacteristic
1556C42C2×C22⋊D5911yescharacteristic
1557C42C2×C22⋊D5911yescharacteristic
1558C42C2×C22⋊D5911yescharacteristic
1559C42C2×C22⋊D5911yescharacteristic
1560C42C23×D5911yescharacteristic
1561C42C23×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C42C23×D5911yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—42no—
1567C23—42no—
1568C23—81no—
1569C23—1181no—
1570C23—1181no—
1571C23—1181no—
1572C23—4721no—
1573C23—4721no—
1574C23—2362no—
1575C23—2362no—
1576C23—2362no—
1577C23—2362no—
1578C23C22×C22⋊D5911yescharacteristic
1579C23C22×C22⋊D5911yescharacteristic
1580C23C22×C22⋊D5911yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—41no—
1586Q8—81no—
1587Q8—1181no—
1588Q8—1181no—
1589Q8—4721no—
1590D4—22no—
1591D4—22no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—41no—
1596D4—42no—
1597D4—42no—
1598D4—42no—
1599D4—81no—
1600D4—81no—
1601D4—592no—
1602D4—1181no—
1603D4—1181no—
1604D4—1181no—
1605D4—1181no—
1606D4—1181no—
1607D4—4721no—
1608D4—4721no—
1609D4—4721no—
1610D4—2362no—
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—21no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—42no—
1636C2×C4—42no—
1637C2×C4—42no—
1638C2×C4—42no—
1639C2×C4—42no—
1640C2×C4—42no—
1641C2×C4—42no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—4721no—
1653C2×C4—4721no—
1654C2×C4—4721no—
1655C2×C4—2362no—
1656C2×C4—2362no—
1657C2×C4—2362no—
1658C2×C4—2362no—
1659C2×C4—2362no—
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×C4C22×C22⋊D5911yescharacteristic
1671C2×C4C24×D5911yescharacteristic
1672C8—592no—
1673C8—1181no—
1674C8—1181no—
1675C8—1181no—
1676C8—1181no—
1677C8—1181no—
1678C8—1181no—
1679C8—1181no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—22no—
1687C22—21no—
1688C22—21no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—84no—
1695C22—1182no—
1696C22—4724no—
1697C22—4724no—
1698C22—2361no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22#1683820012yes—
1707C22C23×C22⋊D5911yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4—2361no—
1729C4—2361no—
1730C4C2×#41×D5911yescharacteristic
1731C4#1683823811yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—41no—
1735C2—42no—
1736C2—81no—
1737C2—4721no—
1738C2—4721no—
1739C2—2362no—
1740C2#41×C22⋊D5911yescharacteristic
1741C2C2×#1683820011yescharacteristic
1742C2#2143887511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3475C2
socleC22×C59C23×D4
hypercenter#3475D59
hypocenterC59#61454
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. #21437706C2semidirect
2. #21437162C2semidirect
3. #21437050C2semidirect
4. #21436917C2semidirect
5. #21436849C2semidirect
6. #21436596C2semidirect
7. #21436551C2semidirect
8. #21436475C2semidirect
9. #21436246C2semidirect
10. #21436177C2semidirect
11. #21436111C2semidirect
12. #21436072C2semidirect
13. #21435946C2semidirect
14. #21435925C2semidirect
15. #21435777C2semidirect
16. #21435622C2semidirect
17. #21435577C2semidirect
18. #21434819C2semidirect
19. #21434799C2semidirect
20. #21434795C2semidirect
21. #21434247C2semidirect
22. #21434234C2semidirect
23. #21434230C2semidirect
24. #21434205C2semidirect
25. #21434199C2semidirect
26. #21434191C2semidirect
27. #21433110C2semidirect
28. C4×#14273752C2semidirect
29. #21432894C2semidirect
30. C2×#16837512C2semidirect
31. C59×#3475C2semidirect
35. #16838137C22semidirect
36. #16838112C22semidirect
39. #16838098C22semidirect
44. #16838048C22semidirect
47. #16837952C22semidirect
50. #16837936C22semidirect
53. C4×#11745685C22semidirect
55. C2×C4×D236C22semidirect
57. #16837812C22semidirect
58. #16837808C22semidirect
59. #16837801C22semidirect
60. #16837794C22semidirect
62. #16837784C22semidirect
63. #16837770C22semidirect
64. #16837768C22semidirect
65. #16837764C22semidirect
66. #16837761C22semidirect
67. #16837759C22semidirect
68. #16837756C22semidirect
69. #16837743C22semidirect
70. #16837740C22semidirect
71. #16837735C22semidirect
72. #16837735C22semidirect
73. #16837732C22semidirect
74. #16837730C22semidirect
75. #16837726C22semidirect
76. #16837726C22semidirect
77. #16837726C22semidirect
78. #16837723C22semidirect
80. #16837713C22semidirect
81. #16837709C22semidirect
82. #16837706C22semidirect
83. #16837702C22semidirect
84. #16837702C22semidirect
85. #16837702C22semidirect
86. #16837699C22semidirect
87. #16837699C22semidirect
88. #16837699C22semidirect
89. #16837687C22semidirect
90. #16837682C22semidirect
91. #16837679C22semidirect
92. #16837679C22semidirect
93. #16837658C22semidirect
95. #16837650C22semidirect
96. #16837646C22semidirect
97. #16837641C22semidirect
98. #16837641C22semidirect
99. #16837636C22semidirect
100. #16837636C22semidirect
103. #16837633C22semidirect
104. #16837633C22semidirect
105. #16837624C22semidirect
106. #16837621C22semidirect
107. #16837617C22semidirect
108. #16837617C22semidirect
109. #16837617C22semidirect
112. #16837614C22semidirect
113. #16837604C22semidirect
114. #16837604C22semidirect
115. #16837602C22semidirect
117. #16837564C22semidirect
118. #16837562C22semidirect
119. #16837553C22semidirect
122. #16837552C22semidirect
124. #16837547C22semidirect
125. #16837547C22semidirect
129. #16837533C22semidirect
130. #16837533C22semidirect
136. #16837512C22semidirect
137. #16837512C22semidirect
138. #16837512C22semidirect
139. #16837512C22semidirect
140. #16837512C22semidirect
141. #16837512C22semidirect
142. #16837507C22semidirect
143. #16837507C22semidirect
144. #16837507C22semidirect
145. #16837502C22semidirect
146. #16837502C22semidirect
147. #16837502C22semidirect
148. #16837500C22semidirect
149. #16837500C22semidirect
150. #16837500C22semidirect
151. #16837500C22semidirect
152. #16837500C22semidirect
153. #16837500C22semidirect
154. #16837500C22semidirect
155. C4×#11745671C22semidirect
156. C4×#11745671C22semidirect
158. C4×#11745669C22semidirect
161. #16837474C22semidirect
162. #16837474C22semidirect
163. D4×C59⋊C8C22semidirect
164. D4×C59⋊C8C22semidirect
165. #16837459C22semidirect
166. #16837459C22semidirect
167. #16837459C22semidirect
168. #16837445C22semidirect
169. #16837438C22semidirect
170. C2×#14273658C22semidirect
171. #16837406C22semidirect
172. #16837403C22semidirect
173. #16837398C22semidirect
174. #16837396C22semidirect
175. C2×#14273648C22semidirect
177. C4×#11745664C22semidirect
178. C2×#14273638C22semidirect
179. C2×#14273638C22semidirect
180. C59×#556C22semidirect
181. C59×#555C22semidirect
182. C59×#554C22semidirect
186. C59×#552C22semidirect
189. C59×#547C22semidirect
191. C59×#546C22semidirect
192. C59×#533C22semidirect
195. C59×#529C22semidirect
196. C59×#529C22semidirect
199. C4×#41×C59C22semidirect
200. C4×#41×C59C22semidirect
201. C2×C4×D4×C59C22semidirect
643. #11745669#41semidirect
862. #3475D59semidirect
907. #556C2×D59semidirect
908. #555C2×D59semidirect
911. #554C2×D59semidirect
918. #552C2×D59semidirect
923. #547C2×D59semidirect
928. #546C2×D59semidirect
930. #533C2×D59semidirect
937. #529C2×D59semidirect
938. #529C2×D59semidirect
944. C4×#41C2×D59semidirect
945. C4×#41C2×D59semidirect
949. C2×C4×D4C2×D59semidirect
1074. C59#61454semidirect

Maximal subgroups

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

subgroupindex
#214377062
#214371622
#214370502
#214369172
#214368492
#214365962
#214365512
#214364752
#214362462
#214361772
#214361112
#214360722
#214359462
#214359252
#214357772
#214356222
#214355772
#214348192
#214347992
#214347952
#214342472
#214342342
#214342302
#214342052
#214341992
#214341912
#214331102
C4×#142737522
#214328942
C2×#168375122
C59×#34752
#6145459