Finite Group Databasebeta

← #29470731

Subgroups — #29470731

Order 15104.

1910 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437706C211yesmaximal, characteristic, complemented
2#21437180C211yesmaximal, characteristic, complemented
3#21437035C211yesmaximal, characteristic, complemented
4#21436864C211yesmaximal, characteristic, complemented
5#21436843C211yesmaximal, characteristic, complemented
6#21436641C211yesmaximal, characteristic, complemented
7#21436581C211yesmaximal, characteristic, complemented
8#21436492C211yesmaximal, characteristic, complemented
9#21436231C211yesmaximal, characteristic, complemented
10#21436207C211yesmaximal, characteristic, complemented
11#21436126C211yesmaximal, characteristic, complemented
12#21436102C211yesmaximal, characteristic, complemented
13#21435998C211yesmaximal, characteristic, complemented
14#21435940C211yesmaximal, characteristic, complemented
15#21435804C211yesmaximal, characteristic, complemented
16#21435637C211yesmaximal, characteristic, complemented
17#21435592C211yesmaximal, characteristic, complemented
18#21434819C211yesmaximal, characteristic, complemented
19#21434795C211yesmaximal, characteristic, complemented
20#21434788C211yesmaximal, characteristic, complemented
21#21434267C211yesmaximal, characteristic, complemented
22#21434247C211yesmaximal, characteristic, complemented
23#21434230C211yesmaximal, characteristic, complemented
24#21434205C211yesmaximal, characteristic, complemented
25#21434199C211yesmaximal, characteristic, complemented
26#21434183C211yesmaximal, characteristic, complemented
27#21433110C211yesmaximal, characteristic, complemented
28C4×#14273752C211yesmaximal, characteristic, complemented
29#21432894C211yesmaximal, characteristic, complemented
30C2×#16837500C211yesmaximal, characteristic, complemented
31C59×#3480C211yesmaximal, characteristic, complemented
32C2×#14273752C2211yescharacteristic
33C2×#14273747C2211yescharacteristic
34C22×#11745671C2211yescharacteristic
35#16838137C2211yescharacteristic
36#16838112C2211yescharacteristic
37#16838109C2211yescharacteristic
38#16838098C2211yescharacteristic
39#16838098C2211yescharacteristic
40#16838096—21no—
41#16838076—21no—
42#16838076—21no—
43#16838048C2211yescharacteristic
44#16838048C2211yescharacteristic
45#16838040—21no—
46D4×D236C2211yescharacteristic
47#16837952C2211yescharacteristic
48#16837939—21no—
49#16837936C2211yescharacteristic
50#16837936C2211yescharacteristic
51#16837911—21no—
52#16837911—21no—
53C4×#11745685C2211yescharacteristic
54C2×C4×D236C2211yescharacteristic
55C2×C4×D236C2211yescharacteristic
56C4×D4×D59—21no—
57#16837812C2211yescharacteristic, complemented
58#16837808C2211yescharacteristic, complemented
59#16837801C2211yescharacteristic, complemented
60#16837792C2211yescharacteristic
61#16837789C2211yescharacteristic, complemented
62#16837784C2211yescharacteristic, complemented
63#16837768C2211yescharacteristic
64#16837766C2211yescharacteristic, complemented
65#16837764C2211yescharacteristic, complemented
66#16837761C2211yescharacteristic, complemented
67#16837759C2211yescharacteristic, complemented
68#16837756C2211yescharacteristic, complemented
69#16837743C2211yescharacteristic, complemented
70#16837740C2211yescharacteristic, complemented
71#16837737C2211yescharacteristic, complemented
72#16837730C2211yescharacteristic, complemented
73#16837726C2211yescharacteristic
74#16837726C2211yescharacteristic, complemented
75#16837726C2211yescharacteristic, complemented
76#16837723C2211yescharacteristic, complemented
77#16837720C2211yescharacteristic
78#16837718C2211yescharacteristic, complemented
79#16837718C2211yescharacteristic, complemented
80#16837713C2211yescharacteristic, complemented
81#16837709C2211yescharacteristic, complemented
82#16837709C2211yescharacteristic, complemented
83#16837709C2211yescharacteristic, complemented
84#16837706C2211yescharacteristic, complemented
85#16837702C2211yescharacteristic, complemented
86#16837699C2211yescharacteristic
87#16837699C2211yescharacteristic
88#16837699C2211yescharacteristic, complemented
89#16837689C2211yescharacteristic
90#16837689C2211yescharacteristic, complemented
91#16837687C2211yescharacteristic, complemented
92#16837682C2211yescharacteristic, complemented
93#16837658C2211yescharacteristic, complemented
94#16837653C2211yescharacteristic
95#16837650C2211yescharacteristic
96#16837646C2211yescharacteristic, complemented
97#16837636C2211yescharacteristic
98#16837636C2211yescharacteristic
99#16837636C2211yescharacteristic, complemented
100#16837636C2211yescharacteristic, complemented
101#16837633C2211yescharacteristic, complemented
102#16837633C2211yescharacteristic, complemented
103#16837629C2211yescharacteristic, complemented
104#16837629C2211yescharacteristic, complemented
105#16837624C2211yescharacteristic, complemented
106#16837624C2211yescharacteristic, complemented
107#16837624C2211yescharacteristic, complemented
108#16837621C2211yescharacteristic, complemented
109#16837617C2211yescharacteristic, complemented
110#16837614C2211yescharacteristic
111#16837614C2211yescharacteristic
112#16837614C2211yescharacteristic, complemented
113#16837602C2211yescharacteristic
114#16837597C2211yescharacteristic
115#16837594C2211yescharacteristic
116#16837594C2211yescharacteristic, complemented
117#16837564C2211yescharacteristic, complemented
118#16837562C2211yescharacteristic
119#16837558C2211yescharacteristic, complemented
120#16837552C2211yescharacteristic
121#16837547C2211yescharacteristic
122#16837547C2211yescharacteristic, complemented
123#16837547C2211yescharacteristic, complemented
124#16837545C2211yescharacteristic
125#16837541C2211yescharacteristic
126#16837535C2211yescharacteristic
127#16837535C2211yescharacteristic
128#16837535C2211yescharacteristic
129#16837533C2211yescharacteristic, complemented
130#16837533C2211yescharacteristic, complemented
131#16837512C2211yescharacteristic
132#16837512C2211yescharacteristic
133#16837512C2211yescharacteristic
134#16837512C2211yescharacteristic, complemented
135#16837512C2211yescharacteristic, complemented
136#16837512C2211yescharacteristic, complemented
137#16837512C2211yescharacteristic, complemented
138#16837507C2211yescharacteristic, complemented
139#16837507C2211yescharacteristic, complemented
140#16837507C2211yescharacteristic, complemented
141#16837502C2211yescharacteristic, complemented
142#16837502C2211yescharacteristic, complemented
143#16837502C2211yescharacteristic, complemented
144#16837500C2211yescharacteristic
145#16837500C2211yescharacteristic
146#16837500C2211yescharacteristic
147#16837500C2211yescharacteristic
148#16837500C2211yescharacteristic
149#16837500C2211yescharacteristic, complemented
150#16837500C2211yescharacteristic, complemented
151#16837500C2211yescharacteristic, complemented
152#16837500C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154#16837500C2211yescharacteristic, complemented
155C4×#11745671C2211yescharacteristic
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×#14273660C2211yescharacteristic, complemented
171#16837406C2211yescharacteristic
172#16837403C2211yescharacteristic, complemented
173#16837398C2211yescharacteristic, complemented
174#16837396C2211yescharacteristic
175C2×#14273651C2211yescharacteristic, complemented
176C2×#14273647C2211yescharacteristic
177C4×#11745664C2211yescharacteristic, complemented
178C2×#14273638C2211yescharacteristic, complemented
179C2×#14273638C2211yescharacteristic, complemented
180C59×#559—21no—
181C59×#559C2211yescharacteristic, complemented
182C59×#557C2211yescharacteristic, complemented
183C59×#556—21no—
184C59×#556C2211yescharacteristic, complemented
185C59×#553—21no—
186C59×#553—21no—
187C59×#553C2211yescharacteristic
188C59×#553C2211yescharacteristic, complemented
189C59×#550C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic
191C59×#548C2211yescharacteristic, complemented
192C59×#532—21no—
193C59×#532C2211yescharacteristic, complemented
194C59×#529—21no—
195C59×#529—21no—
196C59×#529C2211yescharacteristic, complemented
197C59×#529C2211yescharacteristic, complemented
198C4×#41×C59—21no—
199C4×#41×C59C2211yescharacteristic
200C4×#41×C59C2211yescharacteristic, complemented
201C4×#41×C59C2211yescharacteristic, complemented
202C2×C4×Q8×C59C2211yescharacteristic, complemented
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×#11745671—24no—
217C2×#11745671C2311yescharacteristic
218C2×#11745671C2311yescharacteristic
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
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×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—
482C23×D59—21no—
483#41×C59—22no—
484#41×C59—22no—
485#41×C59—42no—
486#41×C59—41no—
487#41×C59—41no—
488#41×C59—44no—
489C2×Q8×C59—21no—
490C2×Q8×C59—21no—
491C2×Q8×C59—22no—
492C2×Q8×C59—41no—
493C2×Q8×C59C2×D411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×Q8×C59C2411yescharacteristic
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×C59—21no—
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
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×C59—21no—
517C22×C4×C59C2×D411yescharacteristic
518C22×C4×C59C2×D411yescharacteristic
519C22×C4×C59C2×D411yescharacteristic
520C22×C4×C59C2×D411yescharacteristic
521C22×C4×C59C2×D411yescharacteristic
522C22×C4×C59C2×D411yescharacteristic
523C22×C4×C59C2411yescharacteristic
524C22×C4×C59C2411yescharacteristic
525C22×C4×C59C2411yescharacteristic
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533D4×D59—44no—
534#11745685—22no—
535#11745685—41no—
536#11745685—82no—
537C2×D236—22no—
538C2×D236—22no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—41no—
544C2×D236—41no—
545C2×D236C2411yescharacteristic
546C2×D236C2411yescharacteristic
547C2×D236C2411yescharacteristic
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—21no—
556C2×C4×D59—21no—
557C2×C4×D59—82no—
558C2×C4×D59—82no—
559C2×Dic118—21no—
560C2×Dic118C2411yescharacteristic
561C4⋊C4×C59—21no—
562C4⋊C4×C59—21no—
563C4⋊C4×C59—21no—
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×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×C59C2×D411yescharacteristic
602C22⋊C4×C59C2×D411yescharacteristic
603C22⋊C4×C59C2×D411yescharacteristic
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C22⋊C4×C59C2×D411yescharacteristic
607C42×C59—21no—
608C42×C59—21no—
609C42×C59—21no—
610C42×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—22no—
634#11745671—41no—
635#11745671#4114yescomplemented
636#11745670—22no—
637#11745670—41no—
638#11745669—22no—
639#11745669—22no—
640#11745669—22no—
641#11745669—41no—
642#11745669—41no—
643#11745669—41no—
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×C59C22×D411yescharacteristic
695C23×C59C22×D411yescharacteristic
696C23×C59C22×D411yescharacteristic
697C22×D59—21no—
698C22×D59—21no—
699C22×D59—21no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—42no—
704C22×D59—81no—
705C22×D59—81no—
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—21no—
709Q8×C59—41no—
710Q8×C59—42no—
711Q8×C59—42no—
712Q8×C59C2×#4112yes—
713D4×C59—22no—
714D4×C59—22no—
715D4×C59—21no—
716D4×C59—21no—
717D4×C59—21no—
718D4×C59—21no—
719D4×C59—41no—
720D4×C59—42no—
721D4×C59—42no—
722D4×C59—42no—
723D4×C59—42no—
724D4×C59—42no—
725D4×C59—81no—
726D4×C59—81no—
727D4×C59—81no—
728C2×C4×C59—22no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—41no—
742C2×C4×C59—41no—
743C2×C4×C59—41no—
744C2×C4×C59—41no—
745C2×C4×C59—41no—
746C2×C4×C59—42no—
747C2×C4×C59—42no—
748C2×C4×C59—42no—
749C2×C4×C59—42no—
750C2×C4×C59—42no—
751C2×C4×C59—81no—
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#61456—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—21no—
813C22×C59—21no—
814C22×C59—21no—
815C22×C59—21no—
816C22×C59—21no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59#57512yes—
824C22×C59C23×D411yescharacteristic
825C2×D59—22no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—84no—
835C2×D59—84no—
836C4×C59—21no—
837C4×C59—21no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—21no—
842C4×C59—21no—
843C4×C59—22no—
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×C59C22×#4111yescharacteristic
854C4×C59#58511yescharacteristic
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860#3481—591no—
861#3480D5911yescharacteristic, complemented
862#3403—591no—
863#3388—591no—
864#3371—591no—
865#3370—591no—
866#3350—591no—
867#3346—591no—
868#3339—591no—
869#3318—591no—
870#3316—591no—
871#3311—591no—
872#3309—591no—
873#3301—591no—
874#3297—591no—
875#3282—591no—
876#3268—591no—
877#3265—591no—
878#3183—591no—
879#3180—591no—
880#3180—591no—
881#3117—591no—
882#3115—591no—
883#3114—591no—
884#3111—591no—
885#3111—591no—
886#3109—591no—
887#2970—591no—
888C4×AGL(1,ℤ/8)—591no—
889#2943—591no—
890C2×#440—591no—
891C2×C59—22no—
892C2×C59—41no—
893C2×C59—41no—
894C2×C59—81no—
895C2×C59—81no—
896C2×C59D4×#4111yescharacteristic
897C2×C59C2×#57511yescharacteristic
898C2×C59#358511yescharacteristic
899D59—42no—
900D59—81no—
901D59—81no—
902C2×AGL(1,ℤ/8)—591no—
903C2×#135—591no—
904C22×SD16—591no—
905#559—21no—
906#559—591no—
907#559C2×D5911yescharacteristic, complemented
908#557C2×D5911yescharacteristic, complemented
909#556—21no—
910#556C2×D5911yescharacteristic, complemented
911#554—591no—
912#554—591no—
913#553—21no—
914#553—21no—
915#553—591no—
916#553—591no—
917#553—1181no—
918#553C2×D5911yescharacteristic
919#553C2×D5911yescharacteristic, complemented
920#551—1181no—
921#551—1181no—
922#550C2×D5911yescharacteristic, complemented
923#548C2×D5911yescharacteristic
924#548C2×D5911yescharacteristic, complemented
925#546—591no—
926#546—591no—
927#546—1181no—
928D42—591no—
929#532—21no—
930#532—591no—
931#532C2×D5911yescharacteristic, complemented
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—1181no—
940#525—1181no—
941C4×#41—21no—
942C4×#41—591no—
943C4×#41C2×D5911yescharacteristic
944C4×#41C2×D5911yescharacteristic, complemented
945C4×#41C2×D5911yescharacteristic, complemented
946C2×C4×Q8C2×D5911yescharacteristic, complemented
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—1181no—
950#501—591no—
951#501—591no—
952#499—591no—
953#496—591no—
954#496—591no—
955#495—591no—
956#490—591no—
957#490—591no—
958#489—591no—
959#489—591no—
960#488—591no—
961#488—591no—
962#485—591no—
963#485—591no—
964#484—591no—
965#483—591no—
966#482—591no—
967#482—591no—
968#482—591no—
969#482—591no—
970#481—591no—
971#481—591no—
972#481—591no—
973#480—591no—
974#479—591no—
975#479—591no—
976#479—591no—
977#479—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#476—591no—
983#476—591no—
984#475—591no—
985#474—591no—
986#470—591no—
987#469—591no—
988#468—591no—
989#468—591no—
990#466—591no—
991#466—591no—
992#466—591no—
993#466—591no—
994#465—591no—
995#465—591no—
996#465—591no—
997#465—591no—
998#464—591no—
999#464—591no—
1000#464—591no—
1001#464—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#460—591no—
1007#459—591no—
1008#459—591no—
1009#459—591no—
1010#452—591no—
1011#452—591no—
1012#451—591no—
1013#450—591no—
1014#449—591no—
1015#449—591no—
1016#449—591no—
1017#449—591no—
1018#448—591no—
1019#447—591no—
1020#447—591no—
1021#447—591no—
1022#446—591no—
1023#446—591no—
1024#442—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#441—591no—
1032#441—591no—
1033#441—591no—
1034#440—591no—
1035#440—591no—
1036#440—591no—
1037#440—591no—
1038#440—591no—
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042#440—591no—
1043#440—591no—
1044#440—591no—
1045#440—591no—
1046#440—591no—
1047#440—591no—
1048C4×SD16—591no—
1049C4×SD16—591no—
1050C4×D8—591no—
1051C4×D8—591no—
1052#435—591no—
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056C8×D4—591no—
1057C8×D4—591no—
1058#432—591no—
1059#432—591no—
1060#432—591no—
1061#428—591no—
1062#427—591no—
1063C2×#107—591no—
1064#418—591no—
1065#417—591no—
1066#416—591no—
1067#416—591no—
1068C2×#103—591no—
1069C2×#102—591no—
1070C4×M16—591no—
1071C2×#97—591no—
1072C2×#97—591no—
1073C59#6145611yescharacteristic, complemented, Sylow
1074C2×#41—21no—
1075C2×#41—591no—
1076C2×#41—1181no—
1077C2×#41C22⋊D5911yescharacteristic
1078C2×#41C22×D5911yescharacteristic
1079C2×#41C22×D5911yescharacteristic
1080C22×Q8C22×D5911yescharacteristic
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—1181no—
1084C23×C4—1181no—
1085C23×C4—1181no—
1086AGL(1,ℤ/8)—1184no—
1087#135—1184no—
1088C2×Q16—591no—
1089C2×Q16—591no—
1090C2×SD16—591no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16—591no—
1098C2×SD16—1184no—
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—591no—
1105C2×M16—591no—
1106C2×M16—591no—
1107C22×C8—591no—
1108C22×C8—591no—
1109C22×C8—591no—
1110C22×C8—591no—
1111C4⋊Q8—21no—
1112C4⋊Q8—591no—
1113C4⋊Q8C22×D5911yescharacteristic
1114#127—21no—
1115#127—591no—
1116#127C22×D5911yescharacteristic
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126—21no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#126—1181no—
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—21no—
1137#124—21no—
1138#124—21no—
1139#124—591no—
1140#124—591no—
1141#124—1181no—
1142#124—1181no—
1143#124C22×D5911yescharacteristic
1144#124C22×D5911yescharacteristic
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158#123—1181no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—591no—
1162C22⋊Q8—591no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8C22×D5911yescharacteristic
1169C22⋊Q8C22×D5911yescharacteristic
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—591no—
1178#121—591no—
1179#121—591no—
1180#121—591no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121C22×D5911yescharacteristic
1188#121C22×D5911yescharacteristic
1189#121C22×D5911yescharacteristic
1190#121C22×D5911yescharacteristic
1191#120—1181no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195C4×Q8—21no—
1196C4×Q8—21no—
1197C4×Q8—21no—
1198C4×Q8—21no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8C22⋊D5911yescharacteristic
1202C4×Q8C22×D5911yescharacteristic
1203C4×Q8C22×D5911yescharacteristic
1204C4×Q8C22×D5911yescharacteristic
1205C4×Q8C22×D5911yescharacteristic
1206C4×Q8C22×D5911yescharacteristic
1207C4×Q8C22×D5911yescharacteristic
1208C4×Q8C22×D5911yescharacteristic
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—591no—
1226C4×D4—591no—
1227C4×D4—591no—
1228C4×D4—591no—
1229C4×D4—591no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4C22⋊D5911yescharacteristic
1244C4×D4C22⋊D5911yescharacteristic
1245C4×D4C22⋊D5911yescharacteristic
1246C4×D4C22×D5911yescharacteristic
1247C4×D4C22×D5911yescharacteristic
1248C4×D4C22×D5911yescharacteristic
1249C4×D4C22×D5911yescharacteristic
1250C4×D4C22×D5911yescharacteristic
1251C4×D4C22×D5911yescharacteristic
1252C4×D4C22×D5911yescharacteristic
1253#117—21no—
1254#117—21no—
1255#117—21no—
1256#117—21no—
1257#117—591no—
1258#117—1181no—
1259#117—1181no—
1260#117—1181no—
1261#117C22⋊D5911yescharacteristic
1262#117C22⋊D5911yescharacteristic
1263#117C22⋊D5911yescharacteristic
1264#117C22×D5911yescharacteristic
1265#117C22×D5911yescharacteristic
1266C2×C4⋊C4—21no—
1267C2×C4⋊C4—591no—
1268C2×C4⋊C4—591no—
1269C2×C4⋊C4—1181no—
1270C2×C4⋊C4C22×D5911yescharacteristic
1271C2×C22⋊C4—1181no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C42—21no—
1276C2×C42—21no—
1277C2×C42—21no—
1278C2×C42—1181no—
1279C2×C42C22×D5911yescharacteristic
1280C2×C42C22×D5911yescharacteristic
1281C2×C42C22×D5911yescharacteristic
1282#107—591no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107—591no—
1289#107—591no—
1290#106—591no—
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106—591no—
1297#106—591no—
1298C4⋊C8—591no—
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103—591no—
1314#103—591no—
1315#103—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102—591no—
1334#102—591no—
1335#102—591no—
1336C22⋊C8—591no—
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8—591no—
1342#97—591no—
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97—591no—
1348#97—591no—
1349#97—591no—
1350C4×C8—591no—
1351C4×C8—591no—
1352C24—1181no—
1353C24—1181no—
1354#41—22no—
1355#41—22no—
1356#41—42no—
1357#41—41no—
1358#41—41no—
1359#41—44no—
1360#41—1182no—
1361#41—4722no—
1362#41—2361no—
1363C2×Q8—21no—
1364C2×Q8—21no—
1365C2×Q8—22no—
1366C2×Q8—41no—
1367C2×Q8—591no—
1368C2×Q8—1181no—
1369C2×Q8C2×C22⋊D5911yescharacteristic
1370C2×Q8C23×D5911yescharacteristic
1371C2×Q8C23×D5911yescharacteristic
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—591no—
1381C2×D4—591no—
1382C2×D4—591no—
1383C2×D4—1182no—
1384C2×D4—1182no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4—1181no—
1388C2×D4—1181no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—1181no—
1394C2×D4—2361no—
1395C2×D4—2361no—
1396C2×D4—2364no—
1397C2×D4C2×C22⋊D5911yescharacteristic
1398C2×D4C2×C22⋊D5911yescharacteristic
1399C2×D4C2×C22⋊D5911yescharacteristic
1400C2×D4C23×D5911yescharacteristic
1401C2×D4C23×D5911yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—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—1181no—
1421C22×C4—4722no—
1422C22×C4—4722no—
1423C22×C4C2×C22⋊D5911yescharacteristic
1424C22×C4C2×C22⋊D5911yescharacteristic
1425C22×C4C2×C22⋊D5911yescharacteristic
1426C22×C4C2×C22⋊D5911yescharacteristic
1427C22×C4C2×C22⋊D5911yescharacteristic
1428C22×C4C2×C22⋊D5911yescharacteristic
1429C22×C4C23×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431C22×C4C23×D5911yescharacteristic
1432Q16—1182no—
1433Q16—2361no—
1434SD16—594no—
1435SD16—1182no—
1436SD16—1182no—
1437SD16—1182no—
1438SD16—1182no—
1439SD16—1182no—
1440SD16—2361no—
1441SD16—2361no—
1442D8—1182no—
1443D8—1182no—
1444D8—1182no—
1445D8—2361no—
1446D8—2361no—
1447D8—2361no—
1448M16—1182no—
1449M16—2361no—
1450C2×C8—591no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—591no—
1454C2×C8—591no—
1455C2×C8—591no—
1456C2×C8—591no—
1457C2×C8—591no—
1458C2×C8—1182no—
1459C2×C8—1182no—
1460C2×C8—2361no—
1461C2×C8—2361no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—591no—
1477C4⋊C4—591no—
1478C4⋊C4—591no—
1479C4⋊C4—591no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4C2×C22⋊D5911yescharacteristic
1492C4⋊C4C2×C22⋊D5911yescharacteristic
1493C4⋊C4C2×C22⋊D5911yescharacteristic
1494C4⋊C4C2×C22⋊D5911yescharacteristic
1495C4⋊C4C2×C22⋊D5911yescharacteristic
1496C4⋊C4C2×C22⋊D5911yescharacteristic
1497C4⋊C4C23×D5911yescharacteristic
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4C2×C22⋊D5911yescharacteristic
1537C22⋊C4C2×C22⋊D5911yescharacteristic
1538C22⋊C4C2×C22⋊D5911yescharacteristic
1539C22⋊C4C2×C22⋊D5911yescharacteristic
1540C22⋊C4C2×C22⋊D5911yescharacteristic
1541C22⋊C4C2×C22⋊D5911yescharacteristic
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—1181no—
1551C42—1181no—
1552C42—1181no—
1553C42C2×C22⋊D5911yescharacteristic
1554C42C2×C22⋊D5911yescharacteristic
1555C42C2×C22⋊D5911yescharacteristic
1556C42C2×C22⋊D5911yescharacteristic
1557C42C2×C22⋊D5911yescharacteristic
1558C42C2×C22⋊D5911yescharacteristic
1559C42C23×D5911yescharacteristic
1560C42C23×D5911yescharacteristic
1561C42C23×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—1181no—
1566C23—1181no—
1567C23—1181no—
1568C23—4721no—
1569C23—4721no—
1570C23—2362no—
1571C23—2362no—
1572C23—2362no—
1573C23—2362no—
1574C23C22×C22⋊D5911yescharacteristic
1575C23C22×C22⋊D5911yescharacteristic
1576C23C22×C22⋊D5911yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—41no—
1581Q8—42no—
1582Q8—42no—
1583Q8—1181no—
1584Q8—1181no—
1585Q8—4721no—
1586Q8#41×D5912yes—
1587D4—22no—
1588D4—22no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—41no—
1594D4—42no—
1595D4—42no—
1596D4—42no—
1597D4—42no—
1598D4—42no—
1599D4—81no—
1600D4—81no—
1601D4—81no—
1602D4—592no—
1603D4—1181no—
1604D4—1181no—
1605D4—1181no—
1606D4—1181no—
1607D4—1181no—
1608D4—4721no—
1609D4—4721no—
1610D4—4721no—
1611D4—2362no—
1612D4—2362no—
1613D4—2362no—
1614D4—2362no—
1615D4—2362no—
1616D4—2362no—
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—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—4721no—
1653C2×C4—4721no—
1654C2×C4—2362no—
1655C2×C4—2362no—
1656C2×C4—2362no—
1657C2×C4—2362no—
1658C2×C4—2362no—
1659C2×C4C22×C22⋊D5911yescharacteristic
1660C2×C4C22×C22⋊D5911yescharacteristic
1661C2×C4C22×C22⋊D5911yescharacteristic
1662C2×C4C22×C22⋊D5911yescharacteristic
1663C2×C4C22×C22⋊D5911yescharacteristic
1664C2×C4C22×C22⋊D5911yescharacteristic
1665C2×C4C22×C22⋊D5911yescharacteristic
1666C2×C4C22×C22⋊D5911yescharacteristic
1667C2×C4C22×C22⋊D5911yescharacteristic
1668C2×C4C22×C22⋊D5911yescharacteristic
1669C2×C4C22×C22⋊D5911yescharacteristic
1670C2×C4C24×D5911yescharacteristic
1671C8—592no—
1672C8—1181no—
1673C8—1181no—
1674C8—1181no—
1675C8—1181no—
1676C8—1181no—
1677C8—1181no—
1678C8—1181no—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—1182no—
1694C22—4724no—
1695C22—4724no—
1696C22—2361no—
1697C22—2361no—
1698C22—2361no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22#1683820012yes—
1705C22C23×C22⋊D5911yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—22no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—2361no—
1724C4—2361no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4C2×#41×D5911yescharacteristic
1729C4#1683823811yescharacteristic
1730C2—22no—
1731C2—41no—
1732C2—41no—
1733C2—81no—
1734C2—81no—
1735C2—4721no—
1736C2—4721no—
1737C2—2362no—
1738C2#41×C22⋊D5911yescharacteristic
1739C2C2×#1683820011yescharacteristic
1740C2#2143887511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3480C2
socleC22×C59C23×D4
hypercenter#3480D59
hypocenterC59#61456
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3480

Complements

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

NH ≅ G/Ntype
1. #21437706C2semidirect
2. #21437180C2semidirect
3. #21437035C2semidirect
4. #21436864C2semidirect
5. #21436843C2semidirect
6. #21436641C2semidirect
7. #21436581C2semidirect
8. #21436492C2semidirect
9. #21436231C2semidirect
10. #21436207C2semidirect
11. #21436126C2semidirect
12. #21436102C2semidirect
13. #21435998C2semidirect
14. #21435940C2semidirect
15. #21435804C2semidirect
16. #21435637C2semidirect
17. #21435592C2semidirect
18. #21434819C2semidirect
19. #21434795C2semidirect
20. #21434788C2semidirect
21. #21434267C2semidirect
22. #21434247C2semidirect
23. #21434230C2semidirect
24. #21434205C2semidirect
25. #21434199C2semidirect
26. #21434183C2semidirect
27. #21433110C2semidirect
28. C4×#14273752C2semidirect
29. #21432894C2semidirect
30. C2×#16837500C2semidirect
31. C59×#3480C2semidirect
57. #16837812C22semidirect
58. #16837808C22semidirect
59. #16837801C22semidirect
61. #16837789C22semidirect
62. #16837784C22semidirect
64. #16837766C22semidirect
65. #16837764C22semidirect
66. #16837761C22semidirect
67. #16837759C22semidirect
68. #16837756C22semidirect
69. #16837743C22semidirect
70. #16837740C22semidirect
71. #16837737C22semidirect
72. #16837730C22semidirect
74. #16837726C22semidirect
75. #16837726C22semidirect
76. #16837723C22semidirect
78. #16837718C22semidirect
79. #16837718C22semidirect
80. #16837713C22semidirect
81. #16837709C22semidirect
82. #16837709C22semidirect
83. #16837709C22semidirect
84. #16837706C22semidirect
85. #16837702C22semidirect
88. #16837699C22semidirect
90. #16837689C22semidirect
91. #16837687C22semidirect
92. #16837682C22semidirect
93. #16837658C22semidirect
96. #16837646C22semidirect
99. #16837636C22semidirect
100. #16837636C22semidirect
101. #16837633C22semidirect
102. #16837633C22semidirect
103. #16837629C22semidirect
104. #16837629C22semidirect
105. #16837624C22semidirect
106. #16837624C22semidirect
107. #16837624C22semidirect
108. #16837621C22semidirect
109. #16837617C22semidirect
112. #16837614C22semidirect
116. #16837594C22semidirect
117. #16837564C22semidirect
119. #16837558C22semidirect
122. #16837547C22semidirect
123. #16837547C22semidirect
129. #16837533C22semidirect
130. #16837533C22semidirect
134. #16837512C22semidirect
135. #16837512C22semidirect
136. #16837512C22semidirect
137. #16837512C22semidirect
138. #16837507C22semidirect
139. #16837507C22semidirect
140. #16837507C22semidirect
141. #16837502C22semidirect
142. #16837502C22semidirect
143. #16837502C22semidirect
149. #16837500C22semidirect
150. #16837500C22semidirect
151. #16837500C22semidirect
152. #16837500C22semidirect
153. #16837500C22semidirect
154. #16837500C22semidirect
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×#14273660C22semidirect
172. #16837403C22semidirect
173. #16837398C22semidirect
175. C2×#14273651C22semidirect
177. C4×#11745664C22semidirect
178. C2×#14273638C22semidirect
179. C2×#14273638C22semidirect
181. C59×#559C22semidirect
182. C59×#557C22semidirect
184. C59×#556C22semidirect
188. C59×#553C22semidirect
189. C59×#550C22semidirect
191. C59×#548C22semidirect
193. C59×#532C22semidirect
196. C59×#529C22semidirect
197. C59×#529C22semidirect
200. C4×#41×C59C22semidirect
201. C4×#41×C59C22semidirect
202. C2×C4×Q8×C59C22semidirect
635. #11745671#41semidirect
861. #3480D59semidirect
907. #559C2×D59semidirect
908. #557C2×D59semidirect
910. #556C2×D59semidirect
919. #553C2×D59semidirect
922. #550C2×D59semidirect
924. #548C2×D59semidirect
931. #532C2×D59semidirect
937. #529C2×D59semidirect
938. #529C2×D59semidirect
944. C4×#41C2×D59semidirect
945. C4×#41C2×D59semidirect
946. C2×C4×Q8C2×D59semidirect
1073. C59#61456semidirect

Maximal subgroups

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

subgroupindex
#214377062
#214371802
#214370352
#214368642
#214368432
#214366412
#214365812
#214364922
#214362312
#214362072
#214361262
#214361022
#214359982
#214359402
#214358042
#214356372
#214355922
#214348192
#214347952
#214347882
#214342672
#214342472
#214342302
#214342052
#214341992
#214341832
#214331102
C4×#142737522
#214328942
C2×#168375002
C59×#34802
#6145659