Finite Group Databasebeta

← #29470370

Subgroups — #29470370

Order 15104.

1858 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437660C211yesmaximal, characteristic, complemented
2#21437156C211yesmaximal, characteristic, complemented
3#21437035C211yesmaximal, characteristic, complemented
4#21436938C211yesmaximal, characteristic, complemented
5#21436843C211yesmaximal, characteristic, complemented
6#21436650C211yesmaximal, characteristic, complemented
7#21436620C211yesmaximal, characteristic, complemented
8#21436590C211yesmaximal, characteristic, complemented
9#21436364C211yesmaximal, characteristic, complemented
10#21436291C211yesmaximal, characteristic, complemented
11#21436282C211yesmaximal, characteristic, complemented
12#21436222C211yesmaximal, characteristic, complemented
13#21436126C211yesmaximal, characteristic, complemented
14#21436066C211yesmaximal, characteristic, complemented
15#21435728C211yesmaximal, characteristic, complemented
16#21435652C211yesmaximal, characteristic, complemented
17#21435637C211yesmaximal, characteristic, complemented
18#21434703C211yesmaximal, characteristic, complemented
19#21434685C211yesmaximal, characteristic, complemented
20#21434660C211yesmaximal, characteristic, complemented
21#21434176C211yesmaximal, characteristic, complemented
22#21434167C211yesmaximal, characteristic, complemented
23#21434150C211yesmaximal, characteristic, complemented
24#21434139C211yesmaximal, characteristic, complemented
25#21434114C211yesmaximal, characteristic, complemented
26#21434108C211yesmaximal, characteristic, complemented
27#21433063C211yesmaximal, characteristic, complemented
28C4×#14273758C211yesmaximal, characteristic, complemented
29C4×#14273752C211yesmaximal, characteristic, complemented
30C4×#14273747C211yesmaximal, characteristic, complemented
31C59×#3480C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic
33C2×#14273752C2211yescharacteristic
34C2×#14273747C2211yescharacteristic
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#16837789C2211yescharacteristic
62#16837784C2211yescharacteristic
63#16837772C2211yescharacteristic, complemented
64#16837766C2211yescharacteristic, complemented
65#16837764C2211yescharacteristic
66#16837761C2211yescharacteristic, complemented
67#16837759C2211yescharacteristic
68#16837756C2211yescharacteristic, complemented
69#16837743C2211yescharacteristic
70#16837743C2211yescharacteristic
71#16837743C2211yescharacteristic, complemented
72#16837740C2211yescharacteristic, complemented
73#16837735C2211yescharacteristic
74#16837732C2211yescharacteristic, complemented
75#16837726C2211yescharacteristic
76#16837723C2211yescharacteristic, complemented
77#16837723C2211yescharacteristic, complemented
78#16837723C2211yescharacteristic, complemented
79#16837718C2211yescharacteristic
80#16837715C2211yescharacteristic
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#16837682C2211yescharacteristic, complemented
93#16837658C2211yescharacteristic
94#16837658C2211yescharacteristic
95#16837653C2211yescharacteristic
96#16837653C2211yescharacteristic
97#16837646C2211yescharacteristic
98#16837646C2211yescharacteristic
99#16837646C2211yescharacteristic, complemented
100#16837646C2211yescharacteristic, complemented
101#16837641C2211yescharacteristic, complemented
102#16837636C2211yescharacteristic
103#16837633C2211yescharacteristic
104#16837629C2211yescharacteristic, complemented
105#16837624C2211yescharacteristic
106#16837624C2211yescharacteristic
107#16837624C2211yescharacteristic
108#16837621C2211yescharacteristic, complemented
109#16837617C2211yescharacteristic
110#16837614C2211yescharacteristic
111#16837614C2211yescharacteristic
112#16837614C2211yescharacteristic
113#16837612C2211yescharacteristic, complemented
114#16837607C2211yescharacteristic, complemented
115#16837599C2211yescharacteristic, complemented
116#16837594C2211yescharacteristic
117#16837564C2211yescharacteristic
118#16837564C2211yescharacteristic
119#16837564C2211yescharacteristic, complemented
120#16837562C2211yescharacteristic
121#16837558C2211yescharacteristic, complemented
122#16837552C2211yescharacteristic
123#16837547C2211yescharacteristic
124#16837545C2211yescharacteristic
125#16837545C2211yescharacteristic
126#16837545C2211yescharacteristic
127#16837541C2211yescharacteristic
128#16837535C2211yescharacteristic
129#16837533C2211yescharacteristic, complemented
130#16837533C2211yescharacteristic, complemented
131#16837512C2211yescharacteristic
132#16837512C2211yescharacteristic
133#16837507C2211yescharacteristic, complemented
134#16837507C2211yescharacteristic, complemented
135#16837500C2211yescharacteristic
136#16837500C2211yescharacteristic
137#16837500C2211yescharacteristic
138#16837500C2211yescharacteristic
139C4×#11745672C2211yescharacteristic, complemented
140C4×#11745672C2211yescharacteristic, complemented
141C4×#11745672C2211yescharacteristic, complemented
142C4×#11745672C2211yescharacteristic, complemented
143C4×#11745672C2211yescharacteristic, complemented
144C4×#11745671C2211yescharacteristic
145C4×#11745671C2211yescharacteristic
146C4×#11745671C2211yescharacteristic
147C4×#11745671C2211yescharacteristic
148C4×#11745671C2211yescharacteristic
149C4×#11745670C2211yescharacteristic, complemented
150C4×#11745670C2211yescharacteristic, complemented
151C4×#11745670C2211yescharacteristic, complemented
152C4×#11745670C2211yescharacteristic, complemented
153C4×#11745670C2211yescharacteristic, complemented
154C4×#11745669C2211yescharacteristic
155C4×#11745669C2211yescharacteristic
156C4×#11745669C2211yescharacteristic
157C4×#11745669C2211yescharacteristic
158C4×#11745669C2211yescharacteristic
159#16837480C2211yescharacteristic
160#16837480C2211yescharacteristic
161#16837474C2211yescharacteristic
162#16837474C2211yescharacteristic
163#16837474C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic, complemented
165#16837455C2211yescharacteristic
166#16837455C2211yescharacteristic, complemented
167#16837455C2211yescharacteristic, complemented
168#16837445C2211yescharacteristic
169#16837442C2211yescharacteristic, complemented
170#16837438C2211yescharacteristic, complemented
171#16837411C2211yescharacteristic, complemented
172#16837406C2211yescharacteristic
173#16837403C2211yescharacteristic
174#16837401C2211yescharacteristic
175#16837398C2211yescharacteristic, complemented
176#16837396C2211yescharacteristic
177C4×#11745664C2211yescharacteristic
178C4×#11745664C2211yescharacteristic, complemented
179C2×C4×C59⋊C8C2211yescharacteristic, complemented
180C59×#559—21no—
181C59×#559C2211yescharacteristic, complemented
182C59×#557C2211yescharacteristic, complemented
183C59×#556—21no—
184C59×#556C2211yescharacteristic
185C59×#553—21no—
186C59×#553—21no—
187C59×#553C2211yescharacteristic
188C59×#553C2211yescharacteristic, complemented
189C59×#550C2211yescharacteristic
190C59×#548C2211yescharacteristic
191C59×#548C2211yescharacteristic, complemented
192C59×#532—21no—
193C59×#532C2211yescharacteristic, complemented
194C59×#529—21no—
195C59×#529—21no—
196C59×#529C2211yescharacteristic
197C59×#529C2211yescharacteristic, complemented
198C4×#41×C59—21no—
199C4×#41×C59C2211yescharacteristic
200C4×#41×C59C2211yescharacteristic
201C4×#41×C59C2211yescharacteristic, complemented
202C2×C4×Q8×C59C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C22×C4×D59—21no—
207#14273758—24no—
208#14273752—24no—
209#14273747—24no—
210C2×#11745672C2311yescharacteristic
211C2×#11745672C2311yescharacteristic
212C2×#11745672C2311yescharacteristic
213C2×#11745672C2311yescharacteristic
214C2×#11745670C2311yescharacteristic
215C2×#11745670C2311yescharacteristic
216C2×#11745670C2311yescharacteristic
217C2×#11745670C2311yescharacteristic
218C2×#11745671C2311yescharacteristic
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745669C2311yescharacteristic
223C2×#11745669C2311yescharacteristic
224C2×#11745669C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745664C2311yescharacteristic
227C2×#11745664C2311yescharacteristic
228C2×#11745664C2311yescharacteristic
229C2×#11745664C2311yescharacteristic
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#14273650C2311yescharacteristic
343#14273650C2311yescharacteristic
344#14273650C2311yescharacteristic
345#14273650C2311yescharacteristic
346#14273650C2311yescharacteristic
347#14273650C2311yescharacteristic
348#14273650C2311yescharacteristic
349#14273650C2311yescharacteristic
350#14273648C2311yescharacteristic
351#14273648C2311yescharacteristic
352#14273648C2311yescharacteristic
353#14273648C2311yescharacteristic
354#14273648C2311yescharacteristic
355#14273648C2311yescharacteristic
356#14273648C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273647C2311yescharacteristic
359#14273647C2311yescharacteristic
360#14273647C2311yescharacteristic
361#14273647C2311yescharacteristic
362#14273647C2311yescharacteristic
363#14273647C2311yescharacteristic
364#14273647C2311yescharacteristic
365#14273647C2311yescharacteristic
366C22⋊(C59⋊C8)C2311yescharacteristic
367C22⋊(C59⋊C8)C2311yescharacteristic
368C22⋊(C59⋊C8)C2311yescharacteristic
369C22⋊(C59⋊C8)C2311yescharacteristic
370C22⋊(C59⋊C8)C2311yescharacteristic
371C22⋊(C59⋊C8)C2311yescharacteristic
372#14273638C2311yescharacteristic
373#14273638C2311yescharacteristic
374#14273638C2311yescharacteristic
375#14273638C2311yescharacteristic
376C4×C59⋊C8C2311yescharacteristic
377C4×C59⋊C8C2311yescharacteristic
378C4×C59⋊C8C2311yescharacteristic
379C4×C59⋊C8C2311yescharacteristic
380C4×C59⋊C8C2311yescharacteristic
381C4×C59⋊C8C2311yescharacteristic
382C2×#41×C59—21no—
383C2×#41×C59D411yescharacteristic
384C2×#41×C59C2311yescharacteristic
385C2×#41×C59C2311yescharacteristic
386C22×Q8×C59C2311yescharacteristic
387C4⋊Q8×C59—21no—
388C4⋊Q8×C59C2311yescharacteristic
389#127×C59—21no—
390#127×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×C59C2311yescharacteristic
400#125×C59C2311yescharacteristic
401#124×C59—21no—
402#124×C59—21no—
403#124×C59—21no—
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×C59C2311yescharacteristic
417C22⋊Q8×C59C2311yescharacteristic
418#121×C59—21no—
419#121×C59—21no—
420#121×C59—21no—
421#121×C59—21no—
422#121×C59—21no—
423#121×C59—21no—
424#121×C59—21no—
425#121×C59C2311yescharacteristic
426#121×C59C2311yescharacteristic
427#121×C59C2311yescharacteristic
428#121×C59C2311yescharacteristic
429C4×Q8×C59—21no—
430C4×Q8×C59—21no—
431C4×Q8×C59—21no—
432C4×Q8×C59—21no—
433C4×Q8×C59D411yescharacteristic
434C4×Q8×C59C2311yescharacteristic
435C4×Q8×C59C2311yescharacteristic
436C4×Q8×C59C2311yescharacteristic
437C4×Q8×C59C2311yescharacteristic
438C4×Q8×C59C2311yescharacteristic
439C4×Q8×C59C2311yescharacteristic
440C4×Q8×C59C2311yescharacteristic
441C4×D4×C59—21no—
442C4×D4×C59—21no—
443C4×D4×C59—21no—
444C4×D4×C59—21no—
445C4×D4×C59—21no—
446C4×D4×C59—21no—
447C4×D4×C59—21no—
448C4×D4×C59—21no—
449C4×D4×C59—21no—
450C4×D4×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59D411yescharacteristic
455C4×D4×C59D411yescharacteristic
456C4×D4×C59D411yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464#117×C59—21no—
465#117×C59—21no—
466#117×C59—21no—
467#117×C59—21no—
468#117×C59D411yescharacteristic
469#117×C59D411yescharacteristic
470#117×C59D411yescharacteristic
471#117×C59C2311yescharacteristic
472#117×C59C2311yescharacteristic
473C2×C4⋊C4×C59—21no—
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—22no—
484#41×C59—42no—
485#41×C59—41no—
486#41×C59—41no—
487#41×C59—44no—
488C2×Q8×C59—21no—
489C2×Q8×C59—21no—
490C2×Q8×C59—22no—
491C2×Q8×C59—41no—
492C2×Q8×C59C2×D411yescharacteristic
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
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—21no—
515C22×C4×C59—21no—
516C22×C4×C59C2×D411yescharacteristic
517C22×C4×C59C2×D411yescharacteristic
518C22×C4×C59C2×D411yescharacteristic
519C22×C4×C59C2×D411yescharacteristic
520C22×C4×C59C2×D411yescharacteristic
521C22×C4×C59C2×D411yescharacteristic
522C22×C4×C59C2411yescharacteristic
523C22×C4×C59C2411yescharacteristic
524C22×C4×C59C2411yescharacteristic
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C22×Dic59—21no—
530#11745685—22no—
531#11745685—22no—
532#11745685—41no—
533#11745685—41no—
534C2×D236—22no—
535C2×D236—21no—
536C2×D236—41no—
537C2×D236C2411yescharacteristic
538C2×D236C2411yescharacteristic
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—44no—
548C2×Dic118—21no—
549C2×Dic118C2411yescharacteristic
550C2×Dic118C2411yescharacteristic
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×C59C2×D411yescharacteristic
566C4⋊C4×C59C2×D411yescharacteristic
567C4⋊C4×C59C2×D411yescharacteristic
568C4⋊C4×C59C2×D411yescharacteristic
569C4⋊C4×C59C2×D411yescharacteristic
570C4⋊C4×C59C2×D411yescharacteristic
571C4⋊C4×C59C2411yescharacteristic
572C4⋊C4×C59C2411yescharacteristic
573C4⋊C4×C59C2411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C22⋊C4×C59—21no—
576C22⋊C4×C59—21no—
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59C2×D411yescharacteristic
592C22⋊C4×C59C2×D411yescharacteristic
593C22⋊C4×C59C2×D411yescharacteristic
594C22⋊C4×C59C2×D411yescharacteristic
595C22⋊C4×C59C2×D411yescharacteristic
596C22⋊C4×C59C2×D411yescharacteristic
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#11745671—22no—
626#11745671—22no—
627#11745671—41no—
628#11745671#4114yescomplemented
629#11745670—22no—
630#11745670—41no—
631#11745670—41no—
632#11745670—41no—
633#11745669—22no—
634#11745669—22no—
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—22no—
677#11745664—41no—
678#11745664—41no—
679C2×C59⋊C8—22no—
680C2×C59⋊C8—41no—
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689C23×C59—21no—
690C23×C59—21no—
691C23×C59C22×D411yescharacteristic
692C23×C59C22×D411yescharacteristic
693C23×C59C22×D411yescharacteristic
694C22×D59—21no—
695C22×D59—21no—
696C22×D59—42no—
697C22×D59—42no—
698C22×D59—81no—
699Q8×C59—21no—
700Q8×C59—21no—
701Q8×C59—21no—
702Q8×C59—41no—
703Q8×C59—42no—
704Q8×C59—42no—
705Q8×C59C2×#4112yes—
706D4×C59—21no—
707D4×C59—21no—
708D4×C59—21no—
709D4×C59—21no—
710D4×C59—41no—
711D4×C59—41no—
712D4×C59—41no—
713D4×C59—42no—
714D4×C59—42no—
715D4×C59—42no—
716D4×C59—42no—
717D4×C59—42no—
718D4×C59—81no—
719D4×C59—81no—
720D4×C59—81no—
721C2×C4×C59—21no—
722C2×C4×C59—22no—
723C2×C4×C59—22no—
724C2×C4×C59—22no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
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—41no—
737C2×C4×C59—41no—
738C2×C4×C59—41no—
739C2×C4×C59—42no—
740C2×C4×C59—42no—
741C2×C4×C59—42no—
742C2×C4×C59—42no—
743C2×C4×C59—42no—
744C2×C4×C59—81no—
745C2×C4×C59—81no—
746C2×C4×C59—81no—
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C2511yescharacteristic
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—42no—
770D236—21no—
771D236—21no—
772D236—21no—
773D236—42no—
774D236C2×#4112yes—
775C4×D59—42no—
776C4×D59—42no—
777C4×D59—42no—
778C4×D59—42no—
779C4×D59—42no—
780C4×D59—42no—
781C4×D59—81no—
782C4×D59—81no—
783Dic118—21no—
784Dic118—21no—
785Dic118—21no—
786Dic118—21no—
787Dic118—81no—
788C59⋊C8—21no—
789C59⋊C8—21no—
790C59⋊C8—21no—
791C59⋊C8—21no—
792C59⋊C8—21no—
793C59⋊C8—21no—
794C59⋊C8—21no—
795C59⋊C8C2×#4112yes—
796#61441—591nomaximal, Sylow
797C22×C59—21no—
798C22×C59—21no—
799C22×C59—21no—
800C22×C59—21no—
801C22×C59—21no—
802C22×C59—21no—
803C22×C59—21no—
804C22×C59—21no—
805C22×C59—21no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59C23×D411yescharacteristic
813C2×D59—22no—
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—84no—
820C4×C59—21no—
821C4×C59—21no—
822C4×C59—21no—
823C4×C59—21no—
824C4×C59—21no—
825C4×C59—21no—
826C4×C59—21no—
827C4×C59—22no—
828C4×C59—21no—
829C4×C59—21no—
830C4×C59—21no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59#57512yes—
837C4×C59C22×#4111yescharacteristic
838C4×C59#58511yescharacteristic
839Dic59—41no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845#3480D5911yescharacteristic, complemented
846#3475—591no—
847#3401—591no—
848#3388—591no—
849#3377—591no—
850#3370—591no—
851#3351—591no—
852#3349—591no—
853#3347—591no—
854#3327—591no—
855#3322—591no—
856#3321—591no—
857#3317—591no—
858#3311—591no—
859#3307—591no—
860#3275—591no—
861#3269—591no—
862#3268—591no—
863#3172—591no—
864#3171—591no—
865#3168—591no—
866#3108—591no—
867#3107—591no—
868#3106—591no—
869#3105—591no—
870#3102—591no—
871#3102—591no—
872#2965—591no—
873C4×#137—591no—
874C4×AGL(1,ℤ/8)—591no—
875C4×#135—591no—
876C2×C59—41no—
877C2×C59—41no—
878C2×C59—41no—
879C2×C59—81no—
880C2×C59—81no—
881C2×C59D4×#4111yescharacteristic
882C2×C59C2×#57511yescharacteristic
883C2×C59#358411yescharacteristic
884D59—42no—
885D59—81no—
886C2×#137—591no—
887C2×AGL(1,ℤ/8)—591no—
888C2×#135—591no—
889#559—21no—
890#559C2×D5911yescharacteristic, complemented
891#557C2×D5911yescharacteristic, complemented
892#556—21no—
893#556—591no—
894#556C2×D5911yescharacteristic
895#555—591no—
896#554—591no—
897#553—21no—
898#553—21no—
899#553—1181no—
900#553C2×D5911yescharacteristic
901#553C2×D5911yescharacteristic, complemented
902#552—591no—
903#552—591no—
904#552—1181no—
905#551—1181no—
906#551—1181no—
907#550C2×D5911yescharacteristic
908#548C2×D5911yescharacteristic
909#548C2×D5911yescharacteristic, complemented
910#547—591no—
911#546—591no—
912#546—591no—
913#533—591no—
914#532—21no—
915#532C2×D5911yescharacteristic, complemented
916#529—21no—
917#529—21no—
918#529—591no—
919#529—591no—
920#529—1181no—
921#529—1181no—
922#529C2×D5911yescharacteristic
923#529C2×D5911yescharacteristic, complemented
924#525—1181no—
925C4×#41—21no—
926C4×#41—591no—
927C4×#41—591no—
928C4×#41C2×D5911yescharacteristic
929C4×#41C2×D5911yescharacteristic
930C4×#41C2×D5911yescharacteristic, complemented
931C2×C4×Q8C2×D5911yescharacteristic, complemented
932C2×C4×D4—591no—
933C2×#117—1181no—
934#501—591no—
935#501—591no—
936#499—591no—
937#497—591no—
938#496—591no—
939#495—591no—
940#491—591no—
941#490—591no—
942#489—591no—
943#489—591no—
944#488—591no—
945#488—591no—
946#485—591no—
947#485—591no—
948#485—591no—
949#485—591no—
950#484—591no—
951#483—591no—
952#482—591no—
953#482—591no—
954#482—591no—
955#482—591no—
956#481—591no—
957#480—591no—
958#479—591no—
959#479—591no—
960#479—591no—
961#479—591no—
962#478—591no—
963#478—591no—
964#478—591no—
965#478—591no—
966#477—591no—
967#476—591no—
968#475—591no—
969#474—591no—
970#470—591no—
971#470—591no—
972#469—591no—
973#469—591no—
974#468—591no—
975#468—591no—
976#468—591no—
977#468—591no—
978#467—591no—
979#466—591no—
980#465—591no—
981#465—591no—
982#464—591no—
983#464—591no—
984#464—591no—
985#464—591no—
986#463—591no—
987#463—591no—
988#463—591no—
989#463—591no—
990#462—591no—
991#461—591no—
992#460—591no—
993#459—591no—
994#452—591no—
995#452—591no—
996#452—591no—
997#452—591no—
998#451—591no—
999#450—591no—
1000#449—591no—
1001#449—591no—
1002#449—591no—
1003#449—591no—
1004#448—591no—
1005#447—591no—
1006#446—591no—
1007#446—591no—
1008#442—591no—
1009#442—591no—
1010#441—591no—
1011#441—591no—
1012#440—591no—
1013#440—591no—
1014#440—591no—
1015#440—591no—
1016C4×Q16—591no—
1017C4×Q16—591no—
1018C4×Q16—591no—
1019C4×Q16—591no—
1020C4×Q16—591no—
1021C4×SD16—591no—
1022C4×SD16—591no—
1023C4×SD16—591no—
1024C4×SD16—591no—
1025C4×SD16—591no—
1026C4×SD16—591no—
1027C4×SD16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16—591no—
1031C4×D8—591no—
1032C4×D8—591no—
1033C4×D8—591no—
1034C4×D8—591no—
1035C4×D8—591no—
1036#436—591no—
1037#436—591no—
1038#435—591no—
1039#435—591no—
1040#435—591no—
1041#435—591no—
1042#431—591no—
1043#431—591no—
1044#431—591no—
1045#428—591no—
1046#428—591no—
1047#427—591no—
1048#419—591no—
1049#418—591no—
1050#417—591no—
1051#417—591no—
1052#416—591no—
1053#416—591no—
1054C4×M16—591no—
1055C4×M16—591no—
1056C2×C4×C8—591no—
1057C59#6144111yescharacteristic, complemented, Sylow
1058C2×#41—21no—
1059C2×#41—591no—
1060C2×#41—591no—
1061C2×#41C22⋊D5911yescharacteristic
1062C2×#41C22×D5911yescharacteristic
1063C2×#41C22×D5911yescharacteristic
1064C22×Q8C22×D5911yescharacteristic
1065C22×D4—591no—
1066C23×C4—1181no—
1067#137—1184no—
1068AGL(1,ℤ/8)—1184no—
1069#135—1184no—
1070C2×Q16—591no—
1071C2×Q16—591no—
1072C2×Q16—591no—
1073C2×Q16—591no—
1074C2×SD16—591no—
1075C2×SD16—591no—
1076C2×SD16—591no—
1077C2×SD16—591no—
1078C2×SD16—591no—
1079C2×SD16—591no—
1080C2×SD16—591no—
1081C2×SD16—591no—
1082C2×D8—591no—
1083C2×D8—591no—
1084C2×D8—591no—
1085C2×D8—591no—
1086C2×M16—591no—
1087C2×M16—591no—
1088C2×M16—591no—
1089C2×M16—591no—
1090C22×C8—591no—
1091C22×C8—591no—
1092C4⋊Q8—21no—
1093C4⋊Q8—591no—
1094C4⋊Q8—591no—
1095C4⋊Q8C22×D5911yescharacteristic
1096#127—21no—
1097#127C22×D5911yescharacteristic
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—1181no—
1105#126—1181no—
1106#126—1181no—
1107#126—1181no—
1108#126—1181no—
1109#126—1181no—
1110#125—21no—
1111#125—21no—
1112#125—591no—
1113#125—591no—
1114#125—1181no—
1115#125—1181no—
1116#125—1181no—
1117#125C22×D5911yescharacteristic
1118#125C22×D5911yescharacteristic
1119#124—21no—
1120#124—21no—
1121#124—21no—
1122#124—21no—
1123#124—21no—
1124#124—591no—
1125#124—591no—
1126#124—1181no—
1127#124—1181no—
1128#124C22×D5911yescharacteristic
1129#124C22×D5911yescharacteristic
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—1181no—
1137#123—1181no—
1138#123—1181no—
1139#123—1181no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143#123—1181no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—591no—
1147C22⋊Q8—591no—
1148C22⋊Q8—591no—
1149C22⋊Q8—591no—
1150C22⋊Q8—1181no—
1151C22⋊Q8—1181no—
1152C22⋊Q8—1181no—
1153C22⋊Q8—1181no—
1154C22⋊Q8—1181no—
1155C22⋊Q8C22×D5911yescharacteristic
1156C22⋊Q8C22×D5911yescharacteristic
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—591no—
1165#121—591no—
1166#121—1181no—
1167#121—1181no—
1168#121—1181no—
1169#121—1181no—
1170#121C22×D5911yescharacteristic
1171#121C22×D5911yescharacteristic
1172#121C22×D5911yescharacteristic
1173#121C22×D5911yescharacteristic
1174#120—1181no—
1175#120—1181no—
1176C4×Q8—21no—
1177C4×Q8—21no—
1178C4×Q8—21no—
1179C4×Q8—21no—
1180C4×Q8—591no—
1181C4×Q8—591no—
1182C4×Q8—591no—
1183C4×Q8—591no—
1184C4×Q8—1181no—
1185C4×Q8C22⋊D5911yescharacteristic
1186C4×Q8C22×D5911yescharacteristic
1187C4×Q8C22×D5911yescharacteristic
1188C4×Q8C22×D5911yescharacteristic
1189C4×Q8C22×D5911yescharacteristic
1190C4×Q8C22×D5911yescharacteristic
1191C4×Q8C22×D5911yescharacteristic
1192C4×Q8C22×D5911yescharacteristic
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—591no—
1207C4×D4—591no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—1181no—
1213C4×D4—1181no—
1214C4×D4—1181no—
1215C4×D4—1181no—
1216C4×D4—1181no—
1217C4×D4—1181no—
1218C4×D4—1181no—
1219C4×D4—1181no—
1220C4×D4C22⋊D5911yescharacteristic
1221C4×D4C22⋊D5911yescharacteristic
1222C4×D4C22⋊D5911yescharacteristic
1223C4×D4C22×D5911yescharacteristic
1224C4×D4C22×D5911yescharacteristic
1225C4×D4C22×D5911yescharacteristic
1226C4×D4C22×D5911yescharacteristic
1227C4×D4C22×D5911yescharacteristic
1228C4×D4C22×D5911yescharacteristic
1229C4×D4C22×D5911yescharacteristic
1230#117—21no—
1231#117—21no—
1232#117—21no—
1233#117—21no—
1234#117—591no—
1235#117—591no—
1236#117—1181no—
1237#117—1181no—
1238#117—1181no—
1239#117—1181no—
1240#117—1181no—
1241#117—1181no—
1242#117—1181no—
1243#117—1181no—
1244#117—1181no—
1245#117C22⋊D5911yescharacteristic
1246#117C22⋊D5911yescharacteristic
1247#117C22⋊D5911yescharacteristic
1248#117C22×D5911yescharacteristic
1249#117C22×D5911yescharacteristic
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—591no—
1252C2×C4⋊C4—1181no—
1253C2×C4⋊C4—1181no—
1254C2×C4⋊C4C22×D5911yescharacteristic
1255C2×C22⋊C4—1181no—
1256C2×C22⋊C4—1181no—
1257C2×C22⋊C4—1181no—
1258C2×C42—21no—
1259C2×C42—21no—
1260C2×C42—21no—
1261C2×C42—1181no—
1262C2×C42—1181no—
1263C2×C42C22×D5911yescharacteristic
1264C2×C42C22×D5911yescharacteristic
1265C2×C42C22×D5911yescharacteristic
1266#107—591no—
1267#107—591no—
1268#107—591no—
1269#107—591no—
1270#107—591no—
1271#107—591no—
1272#107—591no—
1273#107—591no—
1274#106—591no—
1275#106—591no—
1276#106—591no—
1277#106—591no—
1278#106—591no—
1279#106—591no—
1280#106—591no—
1281#106—591no—
1282C4⋊C8—591no—
1283C4⋊C8—591no—
1284C4⋊C8—591no—
1285C4⋊C8—591no—
1286C4⋊C8—591no—
1287C4⋊C8—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#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—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—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320C22⋊C8—591no—
1321C22⋊C8—591no—
1322C22⋊C8—591no—
1323C22⋊C8—591no—
1324C22⋊C8—591no—
1325C22⋊C8—591no—
1326#97—591no—
1327#97—591no—
1328#97—591no—
1329#97—591no—
1330C4×C8—591no—
1331C4×C8—591no—
1332C4×C8—591no—
1333C4×C8—591no—
1334C4×C8—591no—
1335C4×C8—591no—
1336C24—1181no—
1337#41—22no—
1338#41—22no—
1339#41—42no—
1340#41—41no—
1341#41—41no—
1342#41—44no—
1343#41—1182no—
1344#41—1182no—
1345#41—2361no—
1346#41—2361no—
1347C2×Q8—21no—
1348C2×Q8—21no—
1349C2×Q8—22no—
1350C2×Q8—41no—
1351C2×Q8—591no—
1352C2×Q8—591no—
1353C2×Q8—1181no—
1354C2×Q8C2×C22⋊D5911yescharacteristic
1355C2×Q8C23×D5911yescharacteristic
1356C2×Q8C23×D5911yescharacteristic
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—591no—
1366C2×D4—591no—
1367C2×D4—1182no—
1368C2×D4—1181no—
1369C2×D4—1181no—
1370C2×D4—1181no—
1371C2×D4—1181no—
1372C2×D4—1181no—
1373C2×D4—2361no—
1374C2×D4C2×C22⋊D5911yescharacteristic
1375C2×D4C2×C22⋊D5911yescharacteristic
1376C2×D4C2×C22⋊D5911yescharacteristic
1377C2×D4C23×D5911yescharacteristic
1378C2×D4C23×D5911yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—1181no—
1388C22×C4—1181no—
1389C22×C4—1181no—
1390C22×C4—1181no—
1391C22×C4—1181no—
1392C22×C4—1181no—
1393C22×C4—1181no—
1394C22×C4—1181no—
1395C22×C4—1181no—
1396C22×C4—2364no—
1397C22×C4C2×C22⋊D5911yescharacteristic
1398C22×C4C2×C22⋊D5911yescharacteristic
1399C22×C4C2×C22⋊D5911yescharacteristic
1400C22×C4C2×C22⋊D5911yescharacteristic
1401C22×C4C2×C22⋊D5911yescharacteristic
1402C22×C4C2×C22⋊D5911yescharacteristic
1403C22×C4C23×D5911yescharacteristic
1404C22×C4C23×D5911yescharacteristic
1405C22×C4C23×D5911yescharacteristic
1406Q16—1182no—
1407Q16—1182no—
1408Q16—1182no—
1409Q16—2361no—
1410SD16—594no—
1411SD16—1182no—
1412SD16—1182no—
1413SD16—1182no—
1414SD16—2361no—
1415SD16—2361no—
1416SD16—2361no—
1417SD16—2361no—
1418D8—1182no—
1419D8—1182no—
1420D8—1182no—
1421D8—2361no—
1422M16—1182no—
1423M16—1182no—
1424M16—2361no—
1425M16—2361no—
1426C2×C8—591no—
1427C2×C8—591no—
1428C2×C8—591no—
1429C2×C8—591no—
1430C2×C8—591no—
1431C2×C8—591no—
1432C2×C8—591no—
1433C2×C8—591no—
1434C2×C8—1182no—
1435C2×C8—2361no—
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—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—591no—
1451C4⋊C4—591no—
1452C4⋊C4—591no—
1453C4⋊C4—591no—
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⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4C2×C22⋊D5911yescharacteristic
1471C4⋊C4C2×C22⋊D5911yescharacteristic
1472C4⋊C4C2×C22⋊D5911yescharacteristic
1473C4⋊C4C2×C22⋊D5911yescharacteristic
1474C4⋊C4C2×C22⋊D5911yescharacteristic
1475C4⋊C4C2×C22⋊D5911yescharacteristic
1476C4⋊C4C23×D5911yescharacteristic
1477C4⋊C4C23×D5911yescharacteristic
1478C4⋊C4C23×D5911yescharacteristic
1479C4⋊C4C23×D5911yescharacteristic
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
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⋊C4—1181no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4C2×C22⋊D5911yescharacteristic
1515C22⋊C4C2×C22⋊D5911yescharacteristic
1516C22⋊C4C2×C22⋊D5911yescharacteristic
1517C22⋊C4C2×C22⋊D5911yescharacteristic
1518C22⋊C4C2×C22⋊D5911yescharacteristic
1519C22⋊C4C2×C22⋊D5911yescharacteristic
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—1181no—
1529C42—1181no—
1530C42—1181no—
1531C42—1181no—
1532C42—1181no—
1533C42—1181no—
1534C42C2×C22⋊D5911yescharacteristic
1535C42C2×C22⋊D5911yescharacteristic
1536C42C2×C22⋊D5911yescharacteristic
1537C42C2×C22⋊D5911yescharacteristic
1538C42C2×C22⋊D5911yescharacteristic
1539C42C2×C22⋊D5911yescharacteristic
1540C42C23×D5911yescharacteristic
1541C42C23×D5911yescharacteristic
1542C42C23×D5911yescharacteristic
1543C42C23×D5911yescharacteristic
1544C23—21no—
1545C23—21no—
1546C23—1181no—
1547C23—1181no—
1548C23—4721no—
1549C23—2362no—
1550C23—2362no—
1551C23C22×C22⋊D5911yescharacteristic
1552C23C22×C22⋊D5911yescharacteristic
1553C23C22×C22⋊D5911yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—41no—
1558Q8—42no—
1559Q8—42no—
1560Q8—1181no—
1561Q8—1181no—
1562Q8—1181no—
1563Q8—1181no—
1564Q8—4721no—
1565Q8#41×D5912yes—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—21no—
1570D4—41no—
1571D4—41no—
1572D4—41no—
1573D4—42no—
1574D4—42no—
1575D4—42no—
1576D4—42no—
1577D4—42no—
1578D4—81no—
1579D4—81no—
1580D4—81no—
1581D4—592no—
1582D4—1181no—
1583D4—1181no—
1584D4—1181no—
1585D4—4721no—
1586D4—4721no—
1587D4—2362no—
1588D4—2362no—
1589D4—2362no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—42no—
1611C2×C4—42no—
1612C2×C4—42no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—4721no—
1623C2×C4—4721no—
1624C2×C4—2362no—
1625C2×C4—2362no—
1626C2×C4—2362no—
1627C2×C4—2362no—
1628C2×C4—2362no—
1629C2×C4—2362no—
1630C2×C4—2362no—
1631C2×C4C22×C22⋊D5911yescharacteristic
1632C2×C4C22×C22⋊D5911yescharacteristic
1633C2×C4C22×C22⋊D5911yescharacteristic
1634C2×C4C22×C22⋊D5911yescharacteristic
1635C2×C4C22×C22⋊D5911yescharacteristic
1636C2×C4C22×C22⋊D5911yescharacteristic
1637C2×C4C22×C22⋊D5911yescharacteristic
1638C2×C4C22×C22⋊D5911yescharacteristic
1639C2×C4C22×C22⋊D5911yescharacteristic
1640C2×C4C22×C22⋊D5911yescharacteristic
1641C2×C4C22×C22⋊D5911yescharacteristic
1642C2×C4C24×D5911yescharacteristic
1643C8—592no—
1644C8—1181no—
1645C8—1181no—
1646C8—1181no—
1647C8—1181no—
1648C8—1181no—
1649C8—1181no—
1650C8—1181no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—1182no—
1667C22—4724no—
1668C22—2361no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22C23×C22⋊D5911yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—22no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—2361no—
1691C4—2361no—
1692C4—2361no—
1693C4—2361no—
1694C4—2361no—
1695C4—2361no—
1696C4#1683820012yes—
1697C4C2×#41×D5911yescharacteristic
1698C4#1683823811yescharacteristic
1699C2—41no—
1700C2—41no—
1701C2—41no—
1702C2—81no—
1703C2—81no—
1704C2—4721no—
1705C2—2362no—
1706C2#41×C22⋊D5911yescharacteristic
1707C2C2×#1683820011yescharacteristic
1708C2#2143886711yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3480C2
socleC22×C59C23×D4
hypercenter#3480D59
hypocenterC59#61441
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ #3480

Complements

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

NH ≅ G/Ntype
1. #21437660C2semidirect
2. #21437156C2semidirect
3. #21437035C2semidirect
4. #21436938C2semidirect
5. #21436843C2semidirect
6. #21436650C2semidirect
7. #21436620C2semidirect
8. #21436590C2semidirect
9. #21436364C2semidirect
10. #21436291C2semidirect
11. #21436282C2semidirect
12. #21436222C2semidirect
13. #21436126C2semidirect
14. #21436066C2semidirect
15. #21435728C2semidirect
16. #21435652C2semidirect
17. #21435637C2semidirect
18. #21434703C2semidirect
19. #21434685C2semidirect
20. #21434660C2semidirect
21. #21434176C2semidirect
22. #21434167C2semidirect
23. #21434150C2semidirect
24. #21434139C2semidirect
25. #21434114C2semidirect
26. #21434108C2semidirect
27. #21433063C2semidirect
28. C4×#14273758C2semidirect
29. C4×#14273752C2semidirect
30. C4×#14273747C2semidirect
31. C59×#3480C2semidirect
57. #16837812C22semidirect
58. #16837808C22semidirect
59. #16837801C22semidirect
60. #16837797C22semidirect
63. #16837772C22semidirect
64. #16837766C22semidirect
66. #16837761C22semidirect
68. #16837756C22semidirect
71. #16837743C22semidirect
72. #16837740C22semidirect
74. #16837732C22semidirect
76. #16837723C22semidirect
77. #16837723C22semidirect
78. #16837723C22semidirect
81. #16837709C22semidirect
82. #16837709C22semidirect
83. #16837709C22semidirect
84. #16837706C22semidirect
85. #16837702C22semidirect
89. #16837694C22semidirect
91. #16837687C22semidirect
92. #16837682C22semidirect
99. #16837646C22semidirect
100. #16837646C22semidirect
101. #16837641C22semidirect
104. #16837629C22semidirect
108. #16837621C22semidirect
113. #16837612C22semidirect
114. #16837607C22semidirect
115. #16837599C22semidirect
119. #16837564C22semidirect
121. #16837558C22semidirect
129. #16837533C22semidirect
130. #16837533C22semidirect
133. #16837507C22semidirect
134. #16837507C22semidirect
139. C4×#11745672C22semidirect
140. C4×#11745672C22semidirect
141. C4×#11745672C22semidirect
142. C4×#11745672C22semidirect
143. C4×#11745672C22semidirect
149. C4×#11745670C22semidirect
150. C4×#11745670C22semidirect
151. C4×#11745670C22semidirect
152. C4×#11745670C22semidirect
153. C4×#11745670C22semidirect
163. #16837474C22semidirect
164. #16837474C22semidirect
166. #16837455C22semidirect
167. #16837455C22semidirect
169. #16837442C22semidirect
170. #16837438C22semidirect
171. #16837411C22semidirect
175. #16837398C22semidirect
178. C4×#11745664C22semidirect
179. C2×C4×C59⋊C8C22semidirect
181. C59×#559C22semidirect
182. C59×#557C22semidirect
188. C59×#553C22semidirect
191. C59×#548C22semidirect
193. C59×#532C22semidirect
197. C59×#529C22semidirect
201. C4×#41×C59C22semidirect
202. C2×C4×Q8×C59C22semidirect
628. #11745671#41semidirect
845. #3480D59semidirect
890. #559C2×D59semidirect
891. #557C2×D59semidirect
901. #553C2×D59semidirect
909. #548C2×D59semidirect
915. #532C2×D59semidirect
923. #529C2×D59semidirect
930. C4×#41C2×D59semidirect
931. C2×C4×Q8C2×D59semidirect
1057. C59#61441semidirect

Maximal subgroups

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

subgroupindex
#214376602
#214371562
#214370352
#214369382
#214368432
#214366502
#214366202
#214365902
#214363642
#214362912
#214362822
#214362222
#214361262
#214360662
#214357282
#214356522
#214356372
#214347032
#214346852
#214346602
#214341762
#214341672
#214341502
#214341392
#214341142
#214341082
#214330632
C4×#142737582
C4×#142737522
C4×#142737472
C59×#34802
#6144159