Finite Group Databasebeta

← #29470700

Subgroups — #29470700

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#21437660C211yesmaximal, characteristic, complemented
2#21437171C211yesmaximal, characteristic, complemented
3#21437035C211yesmaximal, characteristic, complemented
4#21436938C211yesmaximal, characteristic, complemented
5#21436917C211yesmaximal, characteristic, complemented
6#21436605C211yesmaximal, characteristic, complemented
7#21436530C211yesmaximal, characteristic, complemented
8#21436458C211yesmaximal, characteristic, complemented
9#21436282C211yesmaximal, characteristic, complemented
10#21436186C211yesmaximal, characteristic, complemented
11#21436147C211yesmaximal, characteristic, complemented
12#21436051C211yesmaximal, characteristic, complemented
13#21435983C211yesmaximal, characteristic, complemented
14#21435925C211yesmaximal, characteristic, complemented
15#21435804C211yesmaximal, characteristic, complemented
16#21435652C211yesmaximal, characteristic, complemented
17#21435607C211yesmaximal, characteristic, complemented
18#21434819C211yesmaximal, characteristic, complemented
19#21434806C211yesmaximal, characteristic, complemented
20#21434799C211yesmaximal, characteristic, complemented
21#21434267C211yesmaximal, characteristic, complemented
22#21434252C211yesmaximal, characteristic, complemented
23#21434230C211yesmaximal, characteristic, complemented
24#21434226C211yesmaximal, characteristic, complemented
25#21434205C211yesmaximal, characteristic, complemented
26#21434199C211yesmaximal, characteristic, complemented
27#21433110C211yesmaximal, characteristic, complemented
28C4×#14273758C211yesmaximal, characteristic, complemented
29#21432894C211yesmaximal, characteristic, complemented
30C2×#16837500C211yesmaximal, characteristic, complemented
31C59×#3482C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic
33C2×#14273747C2211yescharacteristic
34C22×#11745671C2211yescharacteristic
35#16838125C2211yescharacteristic
36#16838117C2211yescharacteristic
37#16838112C2211yescharacteristic
38#16838102—21no—
39#16838093—21no—
40#16838092C2211yescharacteristic
41#16838092C2211yescharacteristic
42#16838081—21no—
43#16838081—21no—
44#16838057C2211yescharacteristic
45#16838048C2211yescharacteristic
46#16838048C2211yescharacteristic
47#16837959C2211yescharacteristic
48#16837936C2211yescharacteristic
49#16837936C2211yescharacteristic
50#16837930—21no—
51#16837930—21no—
52#16837909—21no—
53C4×#11745685C2211yescharacteristic
54C4×#11745685C2211yescharacteristic
55C2×C4×D236C2211yescharacteristic
56#117×D59—21no—
57#16837812C2211yescharacteristic, complemented
58#16837808C2211yescharacteristic, complemented
59#16837801C2211yescharacteristic, complemented
60#16837797C2211yescharacteristic, complemented
61#16837794C2211yescharacteristic
62#16837784C2211yescharacteristic
63#16837772C2211yescharacteristic, complemented
64#16837770C2211yescharacteristic, complemented
65#16837764C2211yescharacteristic
66#16837761C2211yescharacteristic, complemented
67#16837759C2211yescharacteristic
68#16837756C2211yescharacteristic, complemented
69#16837743C2211yescharacteristic, complemented
70#16837740C2211yescharacteristic, complemented
71#16837740C2211yescharacteristic, complemented
72#16837740C2211yescharacteristic, complemented
73#16837737C2211yescharacteristic, complemented
74#16837732C2211yescharacteristic
75#16837732C2211yescharacteristic
76#16837730C2211yescharacteristic
77#16837726C2211yescharacteristic
78#16837723C2211yescharacteristic, complemented
79#16837720C2211yescharacteristic
80#16837713C2211yescharacteristic
81#16837709C2211yescharacteristic, complemented
82#16837709C2211yescharacteristic, complemented
83#16837709C2211yescharacteristic, complemented
84#16837706C2211yescharacteristic, complemented
85#16837702C2211yescharacteristic, complemented
86#16837699C2211yescharacteristic
87#16837699C2211yescharacteristic
88#16837699C2211yescharacteristic
89#16837694C2211yescharacteristic, complemented
90#16837689C2211yescharacteristic
91#16837687C2211yescharacteristic, complemented
92#16837687C2211yescharacteristic, complemented
93#16837658C2211yescharacteristic, complemented
94#16837653C2211yescharacteristic
95#16837650C2211yescharacteristic
96#16837646C2211yescharacteristic, complemented
97#16837641C2211yescharacteristic
98#16837641C2211yescharacteristic
99#16837641C2211yescharacteristic, complemented
100#16837641C2211yescharacteristic, complemented
101#16837633C2211yescharacteristic
102#16837633C2211yescharacteristic
103#16837629C2211yescharacteristic
104#16837629C2211yescharacteristic
105#16837624C2211yescharacteristic
106#16837624C2211yescharacteristic
107#16837624C2211yescharacteristic
108#16837621C2211yescharacteristic, complemented
109#16837617C2211yescharacteristic
110#16837614C2211yescharacteristic
111#16837614C2211yescharacteristic
112#16837614C2211yescharacteristic
113#16837612C2211yescharacteristic, complemented
114#16837612C2211yescharacteristic, complemented
115#16837609C2211yescharacteristic, complemented
116#16837604C2211yescharacteristic
117#16837564C2211yescharacteristic, complemented
118#16837562C2211yescharacteristic
119#16837562C2211yescharacteristic
120#16837562C2211yescharacteristic
121#16837558C2211yescharacteristic
122#16837558C2211yescharacteristic
123#16837558C2211yescharacteristic, complemented
124#16837552C2211yescharacteristic
125#16837547C2211yescharacteristic
126#16837545C2211yescharacteristic
127#16837541C2211yescharacteristic
128#16837535C2211yescharacteristic
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, complemented
142#16837502C2211yescharacteristic, complemented
143#16837502C2211yescharacteristic, complemented
144#16837500C2211yescharacteristic
145#16837500C2211yescharacteristic
146#16837500C2211yescharacteristic
147#16837500C2211yescharacteristic
148#16837500C2211yescharacteristic
149#16837500C2211yescharacteristic
150#16837500C2211yescharacteristic
151#16837500C2211yescharacteristic
152#16837500C2211yescharacteristic
153#16837500C2211yescharacteristic
154#16837500C2211yescharacteristic
155C4×#11745672C2211yescharacteristic, complemented
156C4×#11745672C2211yescharacteristic, complemented
157C4×#11745671C2211yescharacteristic
158C4×#11745671C2211yescharacteristic
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#16837442C2211yescharacteristic, complemented
169#16837438C2211yescharacteristic, complemented
170C2×#14273660C2211yescharacteristic
171#16837411C2211yescharacteristic, complemented
172#16837401C2211yescharacteristic
173#16837398C2211yescharacteristic, complemented
174#16837396C2211yescharacteristic
175C2×#14273651C2211yescharacteristic
176C2×#14273647C2211yescharacteristic
177C4×#11745664C2211yescharacteristic, complemented
178C2×#14273638C2211yescharacteristic
179C2×#14273638C2211yescharacteristic, complemented
180C59×#557C2211yescharacteristic, complemented
181C59×#556—21no—
182C59×#556C2211yescharacteristic, complemented
183C59×#552—21no—
184C59×#552—21no—
185C59×#552C2211yescharacteristic
186C59×#552C2211yescharacteristic, complemented
187D4×Q8×C59C2211yescharacteristic
188C59×#548C2211yescharacteristic
189C59×#548C2211yescharacteristic, complemented
190C59×#547—21no—
191C59×#547C2211yescharacteristic
192C59×#533—21no—
193C59×#533C2211yescharacteristic, complemented
194C59×#529—21no—
195C59×#529—21no—
196C59×#529C2211yescharacteristic
197C59×#529C2211yescharacteristic, complemented
198C4×#41×C59—21no—
199C4×#41×C59C2211yescharacteristic
200C4×#41×C59C2211yescharacteristic, complemented
201C2×C4×Q8×C59C2211yescharacteristic
202C2×C4×Q8×C59C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C22×C4×D59—21no—
207#14273758—24no—
208#14273747—24no—
209C2×#11745672C2311yescharacteristic
210C2×#11745672C2311yescharacteristic
211C2×#11745672C2311yescharacteristic
212C2×#11745672C2311yescharacteristic
213C2×#11745672C2311yescharacteristic
214C2×#11745672C2311yescharacteristic
215C2×#11745670C2311yescharacteristic
216C2×#11745670C2311yescharacteristic
217C2×#11745671—24no—
218C2×#11745671C2311yescharacteristic
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
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#14273722—21no—
235#14273722—21no—
236#14273721—21no—
237#14273721—21no—
238#14273720—21no—
239#14273720—21no—
240#14273719—21no—
241#14273719C2311yescharacteristic
242#14273719C2311yescharacteristic
243#14273717—21no—
244#14273717—21no—
245#14273715C2311yescharacteristic
246#14273715C2311yescharacteristic
247#14273713—21no—
248#14273713—21no—
249#14273712—21no—
250#14273712—21no—
251#14273710—21no—
252#14273710—21no—
253#14273709—21no—
254#14273709—21no—
255#14273708—21no—
256#14273708—21no—
257#14273706—21no—
258#14273706C2311yescharacteristic
259#14273706C2311yescharacteristic
260#14273706C2311yescharacteristic
261#14273706C2311yescharacteristic
262#14273705—21no—
263#14273705—21no—
264#14273703—21no—
265#14273703—21no—
266#14273701C2311yescharacteristic
267#14273701C2311yescharacteristic
268#14273700—21no—
269#14273700—21no—
270#14273698—21no—
271#14273698—21no—
272#14273695—21no—
273#14273695—21no—
274C4×Dic118—21no—
275C4×Dic118C2311yescharacteristic
276C4×Dic118C2311yescharacteristic
277C4×Dic118C2311yescharacteristic
278C4×Dic118C2311yescharacteristic
279C4×D236—21no—
280C4×D236—21no—
281C4×D236C2311yescharacteristic
282C4×D236C2311yescharacteristic
283C4×D236C2311yescharacteristic
284C4×D236C2311yescharacteristic
285C4×D236C2311yescharacteristic
286C4×D236C2311yescharacteristic
287C4×C22⋊D59—21no—
288C4×C22⋊D59—21no—
289C4×C22⋊D59—21no—
290C4×C22⋊D59—21no—
291C4×C22⋊D59—21no—
292C4×C22⋊D59—21no—
293#14273686—21no—
294#14273686C2311yescharacteristic
295#14273686C2311yescharacteristic
296#14273685—21no—
297#14273685—21no—
298#14273684—21no—
299#14273684—21no—
300#14273684—21no—
301#14273684—21no—
302#14273683—21no—
303#14273683—21no—
304C2×C4⋊Dic59C2311yescharacteristic
305C4⋊C4×D59—21no—
306C4⋊C4×D59—21no—
307C2×(C2×D59)⋊C4—21no—
308C22⋊C4×D59—21no—
309C22⋊C4×D59—21no—
310C42×D59—21no—
311C42×D59—21no—
312#14273660C2311yescharacteristic
313#14273660C2311yescharacteristic
314#14273660C2311yescharacteristic
315#14273660C2311yescharacteristic
316#14273660C2311yescharacteristic
317#14273660C2311yescharacteristic
318#14273660C2311yescharacteristic
319#14273660C2311yescharacteristic
320#14273658C2311yescharacteristic
321#14273658C2311yescharacteristic
322#14273658C2311yescharacteristic
323#14273658C2311yescharacteristic
324#14273658C2311yescharacteristic
325#14273658C2311yescharacteristic
326#14273658C2311yescharacteristic
327#14273658C2311yescharacteristic
328C4⋊(C59⋊C8)C2311yescharacteristic
329C4⋊(C59⋊C8)C2311yescharacteristic
330C4⋊(C59⋊C8)C2311yescharacteristic
331C4⋊(C59⋊C8)C2311yescharacteristic
332C4⋊(C59⋊C8)C2311yescharacteristic
333C4⋊(C59⋊C8)C2311yescharacteristic
334#14273651C2311yescharacteristic
335#14273651C2311yescharacteristic
336#14273651C2311yescharacteristic
337#14273651C2311yescharacteristic
338#14273651C2311yescharacteristic
339#14273651C2311yescharacteristic
340#14273651C2311yescharacteristic
341#14273651C2311yescharacteristic
342#14273651C2311yescharacteristic
343#14273651C2311yescharacteristic
344#14273651C2311yescharacteristic
345#14273651C2311yescharacteristic
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#14273647C2311yescharacteristic
359#14273647C2311yescharacteristic
360#14273647C2311yescharacteristic
361#14273647C2311yescharacteristic
362#14273647C2311yescharacteristic
363#14273647C2311yescharacteristic
364#14273647C2311yescharacteristic
365#14273647C2311yescharacteristic
366C22⋊(C59⋊C8)C2311yescharacteristic
367C22⋊(C59⋊C8)C2311yescharacteristic
368C22⋊(C59⋊C8)C2311yescharacteristic
369C22⋊(C59⋊C8)C2311yescharacteristic
370C22⋊(C59⋊C8)C2311yescharacteristic
371C22⋊(C59⋊C8)C2311yescharacteristic
372#14273638C2311yescharacteristic
373#14273638C2311yescharacteristic
374#14273638C2311yescharacteristic
375#14273638C2311yescharacteristic
376#14273638C2311yescharacteristic
377#14273638C2311yescharacteristic
378#14273638C2311yescharacteristic
379#14273638C2311yescharacteristic
380C4×C59⋊C8C2311yescharacteristic
381C4×C59⋊C8C2311yescharacteristic
382C2×#41×C59—21no—
383C2×#41×C59D411yescharacteristic
384C2×#41×C59C2311yescharacteristic
385C22×Q8×C59C2311yescharacteristic
386C22×Q8×C59C2311yescharacteristic
387C4⋊Q8×C59—21no—
388C4⋊Q8×C59—21no—
389C4⋊Q8×C59C2311yescharacteristic
390C4⋊Q8×C59C2311yescharacteristic
391#126×C59—21no—
392#126×C59—21no—
393#126×C59—21no—
394#126×C59—21no—
395#126×C59—21no—
396#126×C59—21no—
397#125×C59—21no—
398#125×C59—21no—
399#125×C59—21no—
400#125×C59—21no—
401#125×C59—21no—
402#125×C59C2311yescharacteristic
403#125×C59C2311yescharacteristic
404#124×C59—21no—
405#124×C59—21no—
406#124×C59C2311yescharacteristic
407#124×C59C2311yescharacteristic
408#123×C59—21no—
409#123×C59—21no—
410#123×C59—21no—
411#123×C59—21no—
412#123×C59—21no—
413#123×C59—21no—
414C22⋊Q8×C59—21no—
415C22⋊Q8×C59—21no—
416C22⋊Q8×C59—21no—
417C22⋊Q8×C59—21no—
418C22⋊Q8×C59—21no—
419C22⋊Q8×C59—21no—
420C22⋊Q8×C59—21no—
421C22⋊Q8×C59C2311yescharacteristic
422C22⋊Q8×C59C2311yescharacteristic
423C22⋊Q8×C59C2311yescharacteristic
424C22⋊Q8×C59C2311yescharacteristic
425#121×C59—21no—
426#121×C59—21no—
427#121×C59C2311yescharacteristic
428#121×C59C2311yescharacteristic
429C4×Q8×C59—21no—
430C4×Q8×C59—21no—
431C4×Q8×C59—21no—
432C4×Q8×C59—21no—
433C4×Q8×C59—21no—
434C4×Q8×C59—21no—
435C4×Q8×C59D411yescharacteristic
436C4×Q8×C59C2311yescharacteristic
437C4×Q8×C59C2311yescharacteristic
438C4×Q8×C59C2311yescharacteristic
439C4×Q8×C59C2311yescharacteristic
440C4×Q8×C59C2311yescharacteristic
441C4×Q8×C59C2311yescharacteristic
442C4×Q8×C59C2311yescharacteristic
443C4×Q8×C59C2311yescharacteristic
444C4×Q8×C59C2311yescharacteristic
445C4×D4×C59—21no—
446C4×D4×C59—21no—
447C4×D4×C59—21no—
448C4×D4×C59—21no—
449C4×D4×C59—21no—
450C4×D4×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59D411yescharacteristic
453C4×D4×C59D411yescharacteristic
454C4×D4×C59D411yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460#117×C59—21no—
461#117×C59—21no—
462#117×C59—21no—
463#117×C59—21no—
464#117×C59—21no—
465#117×C59—21no—
466#117×C59—21no—
467#117×C59D411yescharacteristic
468#117×C59D411yescharacteristic
469#117×C59D411yescharacteristic
470#117×C59C2311yescharacteristic
471C2×C4⋊C4×C59—21no—
472C2×C4⋊C4×C59—21no—
473C2×C4⋊C4×C59C2311yescharacteristic
474C2×C4⋊C4×C59C2311yescharacteristic
475C2×C42×C59—21no—
476C2×C42×C59—21no—
477C2×C42×C59—21no—
478C2×C42×C59C2311yescharacteristic
479C2×C42×C59C2311yescharacteristic
480C2×C42×C59C2311yescharacteristic
481C23×D59—21no—
482#41×C59—22no—
483#41×C59—42no—
484#41×C59—41no—
485#41×C59—44no—
486C2×Q8×C59—21no—
487C2×Q8×C59—21no—
488C2×Q8×C59—21no—
489C2×Q8×C59—22no—
490C2×Q8×C59—22no—
491C2×Q8×C59—41no—
492C2×Q8×C59—41no—
493C2×Q8×C59C2×D411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59C2×D411yescharacteristic
501C2×D4×C59C2×D411yescharacteristic
502C2×D4×C59C2×D411yescharacteristic
503C2×D4×C59C2411yescharacteristic
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×C59C2×D411yescharacteristic
512C22×C4×C59C2×D411yescharacteristic
513C22×C4×C59C2×D411yescharacteristic
514C22×C4×C59C2×D411yescharacteristic
515C22×C4×C59C2×D411yescharacteristic
516C22×C4×C59C2×D411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C22×C4×C59C2411yescharacteristic
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C22×Dic59—21no—
525#11745685—22no—
526#11745685—22no—
527#11745685—41no—
528#11745685—41no—
529C2×D236—22no—
530C2×D236—21no—
531C2×D236—41no—
532C2×D236C2411yescharacteristic
533C2×D236C2411yescharacteristic
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—44no—
543C2×Dic118—21no—
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×C59—21no—
563C4⋊C4×C59—21no—
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59C2×D411yescharacteristic
568C4⋊C4×C59C2×D411yescharacteristic
569C4⋊C4×C59C2×D411yescharacteristic
570C4⋊C4×C59C2×D411yescharacteristic
571C4⋊C4×C59C2×D411yescharacteristic
572C4⋊C4×C59C2×D411yescharacteristic
573C4⋊C4×C59C2411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
603C42×C59—21no—
604C42×C59—21no—
605C42×C59C2×D411yescharacteristic
606C42×C59C2×D411yescharacteristic
607C42×C59C2×D411yescharacteristic
608C42×C59C2×D411yescharacteristic
609C42×C59C2×D411yescharacteristic
610C42×C59C2×D411yescharacteristic
611C42×C59C2411yescharacteristic
612C42×C59C2411yescharacteristic
613C42×C59C2411yescharacteristic
614C42×C59C2411yescharacteristic
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621#11745672—22no—
622#11745672—22no—
623#11745672—22no—
624#11745672—41no—
625#11745672—41no—
626#11745672—41no—
627#11745671—22no—
628#11745671—22no—
629#11745671—22no—
630#11745671—22no—
631#11745671—41no—
632#11745671#4114yescomplemented
633#11745670—22no—
634#11745670—41no—
635#11745669—22no—
636#11745669—41no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656C4⋊Dic59C2411yescharacteristic
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—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—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×C59C22×D411yescharacteristic
691C23×C59C22×D411yescharacteristic
692C23×C59C22×D411yescharacteristic
693C22×D59—21no—
694C22×D59—21no—
695C22×D59—42no—
696C22×D59—42no—
697C22×D59—81no—
698Q8×C59—21no—
699Q8×C59—21no—
700Q8×C59—21no—
701Q8×C59—21no—
702Q8×C59—21no—
703Q8×C59—41no—
704Q8×C59—42no—
705Q8×C59—42no—
706Q8×C59—42no—
707Q8×C59C2×#4112yes—
708D4×C59—22no—
709D4×C59—22no—
710D4×C59—21no—
711D4×C59—21no—
712D4×C59—41no—
713D4×C59—42no—
714D4×C59—42no—
715D4×C59—42no—
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—21no—
730C2×C4×C59—41no—
731C2×C4×C59—41no—
732C2×C4×C59—41no—
733C2×C4×C59—41no—
734C2×C4×C59—41no—
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—42no—
742C2×C4×C59C22×D411yescharacteristic
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×C59C2511yescharacteristic
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—81no—
757C22⋊D59—81no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—42no—
765D236—21no—
766D236—21no—
767D236—21no—
768D236—42no—
769D236C2×#4112yes—
770C4×D59—42no—
771C4×D59—42no—
772C4×D59—42no—
773C4×D59—42no—
774C4×D59—42no—
775C4×D59—42no—
776C4×D59—81no—
777C4×D59—81no—
778Dic118—21no—
779Dic118—21no—
780Dic118—21no—
781Dic118—21no—
782Dic118—81no—
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—21no—
799C22×C59—21no—
800C22×C59—41no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59#57512yes—
804C22×C59C23×D411yescharacteristic
805C2×D59—22no—
806C2×D59—41no—
807C2×D59—41no—
808C2×D59—41no—
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—84no—
812C4×C59—21no—
813C4×C59—21no—
814C4×C59—21no—
815C4×C59—21no—
816C4×C59—21no—
817C4×C59—21no—
818C4×C59—21no—
819C4×C59—22no—
820C4×C59—21no—
821C4×C59—21no—
822C4×C59—21no—
823C4×C59—21no—
824C4×C59—41no—
825C4×C59—41no—
826C4×C59—41no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59C22×#4111yescharacteristic
831C4×C59#58511yescharacteristic
832Dic59—41no—
833Dic59—41no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838#3482D5911yescharacteristic, complemented
839#3475—591no—
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—81no—
873C2×C59D4×#4111yescharacteristic
874C2×C59C2×#57511yescharacteristic
875C2×C59#358611yescharacteristic
876D59—42no—
877D59—81no—
878C2×#137—591no—
879C2×#135—591no—
880C22×SD16—591no—
881#557C2×D5911yescharacteristic, complemented
882#556—21no—
883#556—591no—
884#556C2×D5911yescharacteristic, complemented
885#555—591no—
886#554—591no—
887#553—1181no—
888#552—21no—
889#552—21no—
890#552—591no—
891#552—591no—
892#552—1181no—
893#552C2×D5911yescharacteristic
894#552C2×D5911yescharacteristic, complemented
895#551—1181no—
896#551—1181no—
897D4×Q8C2×D5911yescharacteristic
898#548C2×D5911yescharacteristic
899#548C2×D5911yescharacteristic, complemented
900#547—21no—
901#547—591no—
902#547C2×D5911yescharacteristic
903#546—591no—
904#546—591no—
905#533—21no—
906#533—591no—
907#533C2×D5911yescharacteristic, complemented
908#529—21no—
909#529—21no—
910#529—591no—
911#529—591no—
912#529—1181no—
913#529—1181no—
914#529C2×D5911yescharacteristic
915#529C2×D5911yescharacteristic, complemented
916#525—1181no—
917C4×#41—21no—
918C4×#41—591no—
919C4×#41—591no—
920C4×#41C2×D5911yescharacteristic
921C4×#41C2×D5911yescharacteristic, complemented
922C2×C4×Q8C2×D5911yescharacteristic
923C2×C4×Q8C2×D5911yescharacteristic, complemented
924C2×C4×D4—591no—
925C2×#117—1181no—
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—21no—
1051C2×#41—591no—
1052C2×#41—591no—
1053C2×#41C22⋊D5911yescharacteristic
1054C2×#41C22×D5911yescharacteristic
1055C22×Q8C22×D5911yescharacteristic
1056C22×Q8C22×D5911yescharacteristic
1057C22×D4—591no—
1058C23×C4—1181no—
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—21no—
1085C4⋊Q8—21no—
1086C4⋊Q8—591no—
1087C4⋊Q8—591no—
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—21no—
1106#125—21no—
1107#125—591no—
1108#125—591no—
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—1181no—
1129#123—1181no—
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—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—591no—
1144C22⋊Q8—591no—
1145C22⋊Q8—591no—
1146C22⋊Q8—591no—
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—591no—
1159#121—591no—
1160#121—1181no—
1161#121—1181no—
1162#121—1181no—
1163#121—1181no—
1164#121C22×D5911yescharacteristic
1165#121C22×D5911yescharacteristic
1166#120—1181no—
1167#120—1181no—
1168C4×Q8—21no—
1169C4×Q8—21no—
1170C4×Q8—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8—591no—
1175C4×Q8—591no—
1176C4×Q8—591no—
1177C4×Q8—591no—
1178C4×Q8—1181no—
1179C4×Q8C22⋊D5911yescharacteristic
1180C4×Q8C22×D5911yescharacteristic
1181C4×Q8C22×D5911yescharacteristic
1182C4×Q8C22×D5911yescharacteristic
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—591no—
1197C4×D4—591no—
1198C4×D4—591no—
1199C4×D4—591no—
1200C4×D4—591no—
1201C4×D4—591no—
1202C4×D4—1181no—
1203C4×D4—1181no—
1204C4×D4—1181no—
1205C4×D4—1181no—
1206C4×D4—1181no—
1207C4×D4—1181no—
1208C4×D4—1181no—
1209C4×D4—1181no—
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—591no—
1226#117—591no—
1227#117—1181no—
1228#117—1181no—
1229#117—1181no—
1230#117—1181no—
1231#117—1181no—
1232#117—1181no—
1233#117—1181no—
1234#117—1181no—
1235#117—1181no—
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—1181no—
1244C2×C4⋊C4—1181no—
1245C2×C4⋊C4C22×D5911yescharacteristic
1246C2×C4⋊C4C22×D5911yescharacteristic
1247C2×C22⋊C4—1181no—
1248C2×C22⋊C4—1181no—
1249C2×C22⋊C4—1181no—
1250C2×C42—21no—
1251C2×C42—21no—
1252C2×C42—21no—
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—1181no—
1329#41—22no—
1330#41—42no—
1331#41—41no—
1332#41—44no—
1333#41—1182no—
1334#41—1182no—
1335#41—2361no—
1336#41—2361no—
1337C2×Q8—21no—
1338C2×Q8—21no—
1339C2×Q8—21no—
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—41no—
1343C2×Q8—41no—
1344C2×Q8—591no—
1345C2×Q8—591no—
1346C2×Q8—1181no—
1347C2×Q8C2×C22⋊D5911yescharacteristic
1348C2×Q8C23×D5911yescharacteristic
1349C2×Q8C23×D5911yescharacteristic
1350C2×Q8C23×D5911yescharacteristic
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—591no—
1355C2×D4—591no—
1356C2×D4—1182no—
1357C2×D4—1181no—
1358C2×D4—1181no—
1359C2×D4—1181no—
1360C2×D4—1181no—
1361C2×D4—1181no—
1362C2×D4—2361no—
1363C2×D4C2×C22⋊D5911yescharacteristic
1364C2×D4C2×C22⋊D5911yescharacteristic
1365C2×D4C2×C22⋊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—1181no—
1375C22×C4—1181no—
1376C22×C4—1181no—
1377C22×C4—1181no—
1378C22×C4—1181no—
1379C22×C4—1181no—
1380C22×C4—1181no—
1381C22×C4—1181no—
1382C22×C4—1181no—
1383C22×C4—2364no—
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—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—591no—
1445C4⋊C4—591no—
1446C4⋊C4—591no—
1447C4⋊C4—591no—
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—1181no—
1488C22⋊C4—1181no—
1489C22⋊C4—1181no—
1490C22⋊C4—1181no—
1491C22⋊C4—1181no—
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—21no—
1518C42—21no—
1519C42—21no—
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—1181no—
1538C23—1181no—
1539C23—4721no—
1540C23—2362no—
1541C23—2362no—
1542C23C22×C22⋊D5911yescharacteristic
1543C23C22×C22⋊D5911yescharacteristic
1544C23C22×C22⋊D5911yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—41no—
1551Q8—42no—
1552Q8—42no—
1553Q8—42no—
1554Q8—1181no—
1555Q8—1181no—
1556Q8—1181no—
1557Q8—1181no—
1558Q8—4721no—
1559Q8#41×D5912yes—
1560D4—22no—
1561D4—22no—
1562D4—21no—
1563D4—21no—
1564D4—41no—
1565D4—42no—
1566D4—42no—
1567D4—42no—
1568D4—592no—
1569D4—1181no—
1570D4—1181no—
1571D4—1181no—
1572D4—4721no—
1573D4—4721no—
1574D4—2362no—
1575D4—2362no—
1576D4—2362no—
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—21no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—42no—
1597C2×C4—42no—
1598C2×C4—42no—
1599C2×C4—42no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—1181no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—4721no—
1610C2×C4—4721no—
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—21no—
1645C22—21no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—1182no—
1650C22—4724no—
1651C22—2361no—
1652C22—2361no—
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—22no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—2361no—
1677C4—2361no—
1678C4—2361no—
1679C4—2361no—
1680C4—2361no—
1681C4—2361no—
1682C4C2×#41×D5911yescharacteristic
1683C4#1683823811yescharacteristic
1684C2—22no—
1685C2—41no—
1686C2—41no—
1687C2—81no—
1688C2—4721no—
1689C2—2362no—
1690C2#41×C22⋊D5911yescharacteristic
1691C2C2×#1683820011yescharacteristic
1692C2#2143888311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3482C2
socleC22×C59C23×D4
hypercenter#3482D59
hypocenterC59#61455
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3482

Complements

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

NH ≅ G/Ntype
1. #21437660C2semidirect
2. #21437171C2semidirect
3. #21437035C2semidirect
4. #21436938C2semidirect
5. #21436917C2semidirect
6. #21436605C2semidirect
7. #21436530C2semidirect
8. #21436458C2semidirect
9. #21436282C2semidirect
10. #21436186C2semidirect
11. #21436147C2semidirect
12. #21436051C2semidirect
13. #21435983C2semidirect
14. #21435925C2semidirect
15. #21435804C2semidirect
16. #21435652C2semidirect
17. #21435607C2semidirect
18. #21434819C2semidirect
19. #21434806C2semidirect
20. #21434799C2semidirect
21. #21434267C2semidirect
22. #21434252C2semidirect
23. #21434230C2semidirect
24. #21434226C2semidirect
25. #21434205C2semidirect
26. #21434199C2semidirect
27. #21433110C2semidirect
28. C4×#14273758C2semidirect
29. #21432894C2semidirect
30. C2×#16837500C2semidirect
31. C59×#3482C2semidirect
57. #16837812C22semidirect
58. #16837808C22semidirect
59. #16837801C22semidirect
60. #16837797C22semidirect
63. #16837772C22semidirect
64. #16837770C22semidirect
66. #16837761C22semidirect
68. #16837756C22semidirect
69. #16837743C22semidirect
70. #16837740C22semidirect
71. #16837740C22semidirect
72. #16837740C22semidirect
73. #16837737C22semidirect
78. #16837723C22semidirect
81. #16837709C22semidirect
82. #16837709C22semidirect
83. #16837709C22semidirect
84. #16837706C22semidirect
85. #16837702C22semidirect
89. #16837694C22semidirect
91. #16837687C22semidirect
92. #16837687C22semidirect
93. #16837658C22semidirect
96. #16837646C22semidirect
99. #16837641C22semidirect
100. #16837641C22semidirect
108. #16837621C22semidirect
113. #16837612C22semidirect
114. #16837612C22semidirect
115. #16837609C22semidirect
117. #16837564C22semidirect
123. #16837558C22semidirect
129. #16837533C22semidirect
130. #16837533C22semidirect
134. #16837507C22semidirect
135. #16837507C22semidirect
136. #16837507C22semidirect
137. #16837507C22semidirect
138. #16837507C22semidirect
139. #16837507C22semidirect
140. #16837507C22semidirect
141. #16837502C22semidirect
142. #16837502C22semidirect
143. #16837502C22semidirect
155. C4×#11745672C22semidirect
156. C4×#11745672C22semidirect
161. #16837474C22semidirect
162. #16837474C22semidirect
166. #16837459C22semidirect
167. #16837459C22semidirect
168. #16837442C22semidirect
169. #16837438C22semidirect
171. #16837411C22semidirect
173. #16837398C22semidirect
177. C4×#11745664C22semidirect
179. C2×#14273638C22semidirect
180. C59×#557C22semidirect
182. C59×#556C22semidirect
186. C59×#552C22semidirect
189. C59×#548C22semidirect
193. C59×#533C22semidirect
197. C59×#529C22semidirect
200. C4×#41×C59C22semidirect
202. C2×C4×Q8×C59C22semidirect
632. #11745671#41semidirect
838. #3482D59semidirect
881. #557C2×D59semidirect
884. #556C2×D59semidirect
894. #552C2×D59semidirect
899. #548C2×D59semidirect
907. #533C2×D59semidirect
915. #529C2×D59semidirect
921. C4×#41C2×D59semidirect
923. C2×C4×Q8C2×D59semidirect
1049. C59#61455semidirect

Maximal subgroups

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

subgroupindex
#214376602
#214371712
#214370352
#214369382
#214369172
#214366052
#214365302
#214364582
#214362822
#214361862
#214361472
#214360512
#214359832
#214359252
#214358042
#214356522
#214356072
#214348192
#214348062
#214347992
#214342672
#214342522
#214342302
#214342262
#214342052
#214341992
#214331102
C4×#142737582
#214328942
C2×#168375002
C59×#34822
#6145559