Finite Group Databasebeta

← #29485566

Subgroups — #29485566

Order 15104.

1646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438741C211yesmaximal, characteristic, complemented
2#21437024C211yesmaximal, characteristic, complemented
3#21437002C211yesmaximal, characteristic, complemented
4#21436932C211yesmaximal, characteristic, complemented
5#21436917C211yesmaximal, characteristic, complemented
6#21436641C211yesmaximal, characteristic, complemented
7#21436620C211yesmaximal, characteristic, complemented
8#21436611C211yesmaximal, characteristic, complemented
9#21436596C211yesmaximal, characteristic, complemented
10#21436522C211yesmaximal, characteristic, complemented
11#21436503C211yesmaximal, characteristic, complemented
12#21436282C211yesmaximal, characteristic, complemented
13#21436267C211yesmaximal, characteristic, complemented
14#21436162C211yesmaximal, characteristic, complemented
15#21436147C211yesmaximal, characteristic, complemented
16#21435998C211yesmaximal, characteristic, complemented
17#21435983C211yesmaximal, characteristic, complemented
18#21435561C211yesmaximal, characteristic, complemented
19#21435552C211yesmaximal, characteristic, complemented
20#21435427C211yesmaximal, characteristic, complemented
21#21435388C211yesmaximal, characteristic, complemented
22#21435373C211yesmaximal, characteristic, complemented
23#21435306C211yesmaximal, characteristic, complemented
24#21434325C211yesmaximal, characteristic, complemented
25#21434325C211yesmaximal, characteristic, complemented
26#21434205C211yesmaximal, characteristic, complemented
27#21433938C211yesmaximal, characteristic, complemented
28#21433938C211yesmaximal, characteristic, complemented
29#21433884C211yesmaximal, characteristic, complemented
30#21433235C211yesmaximal, characteristic, complemented
31C59×#3518C211yesmaximal, characteristic, complemented
32#16838153—21no—
33#16838147—21no—
34#16838130C2211yescharacteristic
35#16838122C2211yescharacteristic
36#16838119—21no—
37#16838117C2211yescharacteristic
38#16838112C2211yescharacteristic
39#16838098C2211yescharacteristic
40#16838098C2211yescharacteristic
41#16838092C2211yescharacteristic
42#16838092C2211yescharacteristic
43#16838088—21no—
44#16838030C2211yescharacteristic
45#16838030C2211yescharacteristic
46#16838023C2211yescharacteristic
47#16838023C2211yescharacteristic
48#16838020—21no—
49#16838016—21no—
50#16838011—21no—
51#16837995—21no—
52#16837959C2211yescharacteristic
53#16837936C2211yescharacteristic
54#16837808C2211yescharacteristic
55#16837808C2211yescharacteristic
56#16837808C2211yescharacteristic
57#16837808C2211yescharacteristic
58#16837805C2211yescharacteristic
59#16837798C2211yescharacteristic
60#16837770C2211yescharacteristic
61#16837770C2211yescharacteristic
62#16837761C2211yescharacteristic
63#16837761C2211yescharacteristic
64#16837756C2211yescharacteristic
65#16837756C2211yescharacteristic
66#16837743C2211yescharacteristic
67#16837743C2211yescharacteristic
68#16837743C2211yescharacteristic
69#16837740C2211yescharacteristic
70#16837740C2211yescharacteristic
71#16837740C2211yescharacteristic
72#16837740C2211yescharacteristic
73#16837740C2211yescharacteristic
74#16837740C2211yescharacteristic
75#16837735C2211yescharacteristic
76#16837730C2211yescharacteristic
77#16837726C2211yescharacteristic
78#16837726C2211yescharacteristic
79#16837726C2211yescharacteristic
80#16837723C2211yescharacteristic
81#16837723C2211yescharacteristic
82#16837718C2211yescharacteristic
83#16837713C2211yescharacteristic
84#16837709C2211yescharacteristic
85#16837709C2211yescharacteristic
86#16837709C2211yescharacteristic
87#16837709C2211yescharacteristic
88#16837709C2211yescharacteristic
89#16837709C2211yescharacteristic
90#16837709C2211yescharacteristic
91#16837709C2211yescharacteristic
92#16837709C2211yescharacteristic
93#16837702C2211yescharacteristic
94#16837702C2211yescharacteristic
95#16837702C2211yescharacteristic
96#16837697C2211yescharacteristic
97#16837697C2211yescharacteristic
98#16837697C2211yescharacteristic
99#16837697C2211yescharacteristic
100#16837697C2211yescharacteristic
101#16837694C2211yescharacteristic
102#16837692C2211yescharacteristic
103#16837689C2211yescharacteristic
104#16837687C2211yescharacteristic
105#16837687C2211yescharacteristic
106#16837687C2211yescharacteristic
107#16837687C2211yescharacteristic
108#16837687C2211yescharacteristic
109#16837684C2211yescharacteristic
110#16837684C2211yescharacteristic
111#16837682C2211yescharacteristic
112#16837679C2211yescharacteristic
113#16837679C2211yescharacteristic
114#16837658C2211yescharacteristic
115#16837653C2211yescharacteristic
116#16837650C2211yescharacteristic
117#16837646C2211yescharacteristic
118#16837641C2211yescharacteristic
119#16837641C2211yescharacteristic
120#16837641C2211yescharacteristic
121#16837636C2211yescharacteristic
122#16837633C2211yescharacteristic
123#16837633C2211yescharacteristic
124#16837633C2211yescharacteristic
125#16837629C2211yescharacteristic
126#16837624C2211yescharacteristic
127#16837624C2211yescharacteristic
128#16837624C2211yescharacteristic
129#16837621C2211yescharacteristic
130#16837621C2211yescharacteristic
131#16837617C2211yescharacteristic
132#16837614C2211yescharacteristic
133#16837614C2211yescharacteristic
134#16837609C2211yescharacteristic
135#16837604C2211yescharacteristic
136#16837564C2211yescharacteristic
137#16837558C2211yescharacteristic
138#16837558C2211yescharacteristic
139#16837547C2211yescharacteristic
140#16837541C2211yescharacteristic
141#16837541C2211yescharacteristic
142#16837533C2211yescharacteristic
143#16837533C2211yescharacteristic
144#16837512C2211yescharacteristic
145#16837507C2211yescharacteristic
146#16837507C2211yescharacteristic
147#16837507C2211yescharacteristic
148#16837502C2211yescharacteristic
149#16837500C2211yescharacteristic
150#16837500C2211yescharacteristic
151#16837500C2211yescharacteristic
152C4×#11745672C2211yescharacteristic
153C4×#11745672C2211yescharacteristic
154C4×#11745671C2211yescharacteristic
155C4×#11745671C2211yescharacteristic
156#16837474C2211yescharacteristic
157#16837474C2211yescharacteristic
158#16837474C2211yescharacteristic
159#16837474C2211yescharacteristic
160D4×C59⋊C8C2211yescharacteristic
161D4×C59⋊C8C2211yescharacteristic
162#16837463C2211yescharacteristic
163#16837463C2211yescharacteristic
164#16837459C2211yescharacteristic
165#16837445C2211yescharacteristic
166#16837445C2211yescharacteristic
167#16837438C2211yescharacteristic
168#16837438C2211yescharacteristic
169#16837438C2211yescharacteristic
170#16837438C2211yescharacteristic
171#16837429C2211yescharacteristic
172#16837429C2211yescharacteristic
173C2×C4⋊(C59⋊C8)C2211yescharacteristic
174#16837411C2211yescharacteristic
175#16837411C2211yescharacteristic
176#16837398C2211yescharacteristic
177#16837398C2211yescharacteristic
178C2×#14273651C2211yescharacteristic
179C2×#14273651C2211yescharacteristic
180Q82×C59C2211yescharacteristic
181C59×#556—21no—
182C59×#556—21no—
183C59×#556—21no—
184C59×#556C2211yescharacteristic
185C59×#556C2211yescharacteristic
186C59×#556C2211yescharacteristic
187C59×#555—21no—
188C59×#555C2211yescharacteristic
189D4×Q8×C59C2211yescharacteristic
190C59×#548C2211yescharacteristic
191C59×#548C2211yescharacteristic
192C59×#542—21no—
193C59×#542—21no—
194C59×#542C2211yescharacteristic
195C59×#542C2211yescharacteristic
196C59×#533—21no—
197C59×#533C2211yescharacteristic
198C59×#529—21no—
199C59×#529C2211yescharacteristic
200C59×#519C2211yescharacteristic
201C59×#519C2211yescharacteristic
202C4×#41×C59C2211yescharacteristic
203C2×#11745672C2311yescharacteristic
204C2×#11745672C2311yescharacteristic
205C2×#11745672C2311yescharacteristic
206C2×#11745670C2311yescharacteristic
207C2×#11745671C2311yescharacteristic
208C2×#11745671C2311yescharacteristic
209C2×#11745671C2311yescharacteristic
210C2×#11745669C2311yescharacteristic
211C2×#11745664C2311yescharacteristic
212C2×#11745664C2311yescharacteristic
213C22×C59⋊C8C2311yescharacteristic
214C22×C59⋊C8C2311yescharacteristic
215C22×C59⋊C8C2311yescharacteristic
216C22×C59⋊C8C2311yescharacteristic
217#14273727C2311yescharacteristic
218#14273727C2311yescharacteristic
219#14273727C2311yescharacteristic
220#14273727C2311yescharacteristic
221#14273726—21no—
222#14273726—21no—
223#14273725—21no—
224#14273722—21no—
225#14273722—21no—
226#14273722—21no—
227#14273722—21no—
228#14273721—21no—
229#14273720—21no—
230#14273720—21no—
231#14273720—21no—
232#14273720—21no—
233#14273719C2311yescharacteristic
234#14273719C2311yescharacteristic
235#14273719C2311yescharacteristic
236#14273719C2311yescharacteristic
237#14273719C2311yescharacteristic
238#14273718—21no—
239#14273718—21no—
240#14273717—21no—
241#14273717—21no—
242#14273717—21no—
243#14273717—21no—
244#14273715C2311yescharacteristic
245#14273714—21no—
246#14273713—21no—
247#14273713—21no—
248#14273713—21no—
249#14273713—21no—
250#14273710—21no—
251#14273709—21no—
252#14273709—21no—
253#14273709—21no—
254#14273709—21no—
255#14273708—21no—
256#14273708—21no—
257#14273706—21no—
258#14273706—21no—
259#14273706C2311yescharacteristic
260#14273706C2311yescharacteristic
261#14273706C2311yescharacteristic
262#14273705—21no—
263#14273705—21no—
264#14273705—21no—
265#14273705—21no—
266#14273704—21no—
267#14273704—21no—
268#14273704—21no—
269#14273704—21no—
270#14273703—21no—
271#14273701C2311yescharacteristic
272#14273701C2311yescharacteristic
273#14273701C2311yescharacteristic
274#14273699—21no—
275#14273699—21no—
276#14273698—21no—
277C4×Dic118—21no—
278C4×Dic118—21no—
279C4×Dic118C2311yescharacteristic
280C4×Dic118C2311yescharacteristic
281C4×Dic118C2311yescharacteristic
282#14273692—21no—
283#14273692—21no—
284C4×D236C2311yescharacteristic
285C4×D236C2311yescharacteristic
286C4×D236C2311yescharacteristic
287C4×C22⋊D59—21no—
288(C22⋊D59)⋊C4—21no—
289(C22⋊D59)⋊C4—21no—
290#14273686C2311yescharacteristic
291#14273686C2311yescharacteristic
292#14273686C2311yescharacteristic
293#14273686C2311yescharacteristic
294#14273685—21no—
295#14273684—21no—
296#14273683—21no—
297#14273683—21no—
298C2×C4⋊Dic59C2311yescharacteristic
299C2×C4⋊Dic59C2311yescharacteristic
300C4⋊C4×D59—21no—
301#14273660C2311yescharacteristic
302#14273660C2311yescharacteristic
303#14273660C2311yescharacteristic
304#14273660C2311yescharacteristic
305#14273660C2311yescharacteristic
306#14273660C2311yescharacteristic
307#14273660C2311yescharacteristic
308#14273660C2311yescharacteristic
309#14273660C2311yescharacteristic
310#14273660C2311yescharacteristic
311#14273660C2311yescharacteristic
312#14273660C2311yescharacteristic
313#14273658C2311yescharacteristic
314#14273658C2311yescharacteristic
315#14273658C2311yescharacteristic
316#14273658C2311yescharacteristic
317#14273658C2311yescharacteristic
318#14273658C2311yescharacteristic
319#14273658C2311yescharacteristic
320#14273658C2311yescharacteristic
321#14273658C2311yescharacteristic
322#14273658C2311yescharacteristic
323#14273658C2311yescharacteristic
324#14273658C2311yescharacteristic
325C4⋊(C59⋊C8)C2311yescharacteristic
326C4⋊(C59⋊C8)C2311yescharacteristic
327C4⋊(C59⋊C8)C2311yescharacteristic
328C4⋊(C59⋊C8)C2311yescharacteristic
329C4⋊(C59⋊C8)C2311yescharacteristic
330C4⋊(C59⋊C8)C2311yescharacteristic
331C4⋊(C59⋊C8)C2311yescharacteristic
332C4⋊(C59⋊C8)C2311yescharacteristic
333C4⋊(C59⋊C8)C2311yescharacteristic
334C4⋊(C59⋊C8)C2311yescharacteristic
335#14273651C2311yescharacteristic
336#14273651C2311yescharacteristic
337#14273651C2311yescharacteristic
338#14273651C2311yescharacteristic
339#14273651C2311yescharacteristic
340#14273651C2311yescharacteristic
341#14273651C2311yescharacteristic
342#14273651C2311yescharacteristic
343#14273651C2311yescharacteristic
344#14273651C2311yescharacteristic
345#14273651C2311yescharacteristic
346#14273651C2311yescharacteristic
347#14273651C2311yescharacteristic
348#14273651C2311yescharacteristic
349#14273651C2311yescharacteristic
350#14273651C2311yescharacteristic
351#14273651C2311yescharacteristic
352#14273651C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273650C2311yescharacteristic
355#14273650C2311yescharacteristic
356#14273650C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273648C2311yescharacteristic
362#14273648C2311yescharacteristic
363#14273647C2311yescharacteristic
364#14273647C2311yescharacteristic
365#14273647C2311yescharacteristic
366#14273647C2311yescharacteristic
367C22⋊(C59⋊C8)C2311yescharacteristic
368C22⋊(C59⋊C8)C2311yescharacteristic
369C22⋊(C59⋊C8)C2311yescharacteristic
370C22⋊(C59⋊C8)C2311yescharacteristic
371C22⋊(C59⋊C8)C2311yescharacteristic
372C22⋊(C59⋊C8)C2311yescharacteristic
373#14273638C2311yescharacteristic
374#14273638C2311yescharacteristic
375#14273638C2311yescharacteristic
376#14273638C2311yescharacteristic
377C4×C59⋊C8C2311yescharacteristic
378C4×C59⋊C8C2311yescharacteristic
379C2×#41×C59C2311yescharacteristic
380C22×Q8×C59C2311yescharacteristic
381C22×Q8×C59C2311yescharacteristic
382C4⋊Q8×C59—21no—
383C4⋊Q8×C59—21no—
384C4⋊Q8×C59—21no—
385C4⋊Q8×C59—21no—
386C4⋊Q8×C59C2311yescharacteristic
387C4⋊Q8×C59C2311yescharacteristic
388C4⋊Q8×C59C2311yescharacteristic
389C4⋊Q8×C59C2311yescharacteristic
390#126×C59—21no—
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#126×C59—21no—
398#126×C59D411yescharacteristic
399#126×C59D411yescharacteristic
400#125×C59—21no—
401#125×C59D411yescharacteristic
402#124×C59—21no—
403#124×C59—21no—
404#124×C59—21no—
405#124×C59—21no—
406#124×C59—21no—
407#124×C59—21no—
408#124×C59—21no—
409#124×C59—21no—
410#124×C59D411yescharacteristic
411#124×C59C2311yescharacteristic
412#124×C59C2311yescharacteristic
413#123×C59—21no—
414#123×C59—21no—
415#123×C59D411yescharacteristic
416#123×C59D411yescharacteristic
417C22⋊Q8×C59—21no—
418C22⋊Q8×C59—21no—
419C22⋊Q8×C59—21no—
420C22⋊Q8×C59—21no—
421C22⋊Q8×C59—21no—
422C22⋊Q8×C59—21no—
423C22⋊Q8×C59—21no—
424C22⋊Q8×C59—21no—
425C22⋊Q8×C59D411yescharacteristic
426C22⋊Q8×C59C2311yescharacteristic
427C22⋊Q8×C59C2311yescharacteristic
428C22⋊Q8×C59C2311yescharacteristic
429C22⋊Q8×C59C2311yescharacteristic
430#121×C59—21no—
431#121×C59—21no—
432#121×C59—21no—
433#121×C59D411yescharacteristic
434#121×C59C2311yescharacteristic
435#121×C59C2311yescharacteristic
436C4×Q8×C59—21no—
437C4×Q8×C59—21no—
438C4×Q8×C59—21no—
439C4×Q8×C59—21no—
440C4×Q8×C59—21no—
441C4×Q8×C59—21no—
442C4×Q8×C59—21no—
443C4×Q8×C59—21no—
444C4×Q8×C59C2311yescharacteristic
445C4×Q8×C59C2311yescharacteristic
446C4×Q8×C59C2311yescharacteristic
447C4×Q8×C59C2311yescharacteristic
448C4×Q8×C59C2311yescharacteristic
449C4×Q8×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×Q8×C59C2311yescharacteristic
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59—21no—
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463#117×C59—21no—
464#117×C59—21no—
465#117×C59—21no—
466#117×C59—21no—
467#117×C59—21no—
468#117×C59—21no—
469#117×C59—21no—
470#117×C59—21no—
471#117×C59C2311yescharacteristic
472#117×C59C2311yescharacteristic
473#117×C59C2311yescharacteristic
474#117×C59C2311yescharacteristic
475#117×C59C2311yescharacteristic
476C2×C42×C59—21no—
477C2×C42×C59C2311yescharacteristic
478#41×C59—22no—
479#41×C59—41no—
480C2×Q8×C59—21no—
481C2×Q8×C59—21no—
482C2×Q8×C59—21no—
483C2×Q8×C59—21no—
484C2×Q8×C59—21no—
485C2×Q8×C59—22no—
486C2×Q8×C59—22no—
487C2×Q8×C59—41no—
488C2×Q8×C59—41no—
489C2×Q8×C59C2×D411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59C2×D411yescharacteristic
497C2×D4×C59C2×D411yescharacteristic
498C2×D4×C59C2×D411yescharacteristic
499C2×D4×C59C2411yescharacteristic
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59C2×D411yescharacteristic
506C22×C4×C59C2×D411yescharacteristic
507C22×C4×C59C2411yescharacteristic
508C22×C4×C59C2411yescharacteristic
509C22×C4×C59C2411yescharacteristic
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C22×Dic59—21no—
514C22×Dic59—21no—
515C2×D236C2411yescharacteristic
516C2×C4×D59—21no—
517C2×C4×D59—21no—
518C2×C4×D59—21no—
519C2×Dic118—21no—
520C2×Dic118—21no—
521C2×Dic118—21no—
522C2×Dic118—21no—
523C2×Dic118C2411yescharacteristic
524C4⋊C4×C59—21no—
525C4⋊C4×C59—21no—
526C4⋊C4×C59—21no—
527C4⋊C4×C59—21no—
528C4⋊C4×C59—21no—
529C4⋊C4×C59—21no—
530C4⋊C4×C59—21no—
531C4⋊C4×C59—21no—
532C4⋊C4×C59—21no—
533C4⋊C4×C59—21no—
534C4⋊C4×C59—21no—
535C4⋊C4×C59—21no—
536C4⋊C4×C59—21no—
537C4⋊C4×C59—21no—
538C4⋊C4×C59—21no—
539C4⋊C4×C59—21no—
540C4⋊C4×C59—21no—
541C4⋊C4×C59C2×D411yescharacteristic
542C4⋊C4×C59C2×D411yescharacteristic
543C4⋊C4×C59C2×D411yescharacteristic
544C4⋊C4×C59C2×D411yescharacteristic
545C4⋊C4×C59C2×D411yescharacteristic
546C4⋊C4×C59C2×D411yescharacteristic
547C4⋊C4×C59C2×D411yescharacteristic
548C4⋊C4×C59C2×D411yescharacteristic
549C4⋊C4×C59C2×D411yescharacteristic
550C4⋊C4×C59C2×D411yescharacteristic
551C4⋊C4×C59C2411yescharacteristic
552C4⋊C4×C59C2411yescharacteristic
553C4⋊C4×C59C2411yescharacteristic
554C4⋊C4×C59C2411yescharacteristic
555C22⋊C4×C59—21no—
556C22⋊C4×C59—21no—
557C22⋊C4×C59—21no—
558C22⋊C4×C59—21no—
559C22⋊C4×C59—21no—
560C22⋊C4×C59—21no—
561C22⋊C4×C59—21no—
562C22⋊C4×C59—21no—
563C22⋊C4×C59—21no—
564C22⋊C4×C59—21no—
565C22⋊C4×C59—21no—
566C22⋊C4×C59—21no—
567C22⋊C4×C59—21no—
568C22⋊C4×C59—21no—
569C22⋊C4×C59—21no—
570C22⋊C4×C59C2×D411yescharacteristic
571C22⋊C4×C59C2×D411yescharacteristic
572C22⋊C4×C59C2×D411yescharacteristic
573C22⋊C4×C59C2×D411yescharacteristic
574C22⋊C4×C59C2×D411yescharacteristic
575C22⋊C4×C59C2×D411yescharacteristic
576C22⋊C4×C59C2×D411yescharacteristic
577C22⋊C4×C59C2×D411yescharacteristic
578C22⋊C4×C59C2×D411yescharacteristic
579C22⋊C4×C59C2×D411yescharacteristic
580C42×C59—21no—
581C42×C59—21no—
582C42×C59—21no—
583C42×C59—21no—
584C42×C59—21no—
585C42×C59—21no—
586C42×C59—21no—
587C42×C59—21no—
588C42×C59—21no—
589C42×C59—21no—
590C42×C59—21no—
591C42×C59C2×D411yescharacteristic
592C42×C59C2×D411yescharacteristic
593C42×C59C2411yescharacteristic
594C42×C59C2411yescharacteristic
595C42×C59C2411yescharacteristic
596C42×C59C2411yescharacteristic
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604#11745672—22no—
605#11745672—41no—
606#11745672—41no—
607#11745671—22no—
608#11745671—41no—
609#11745671—41no—
610#11745670—41no—
611#11745669—41no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620C4⋊Dic59—21no—
621C4⋊Dic59—21no—
622C4⋊Dic59—21no—
623C4⋊Dic59—21no—
624C4⋊Dic59—21no—
625C4⋊Dic59—21no—
626C4⋊Dic59C2411yescharacteristic
627C4⋊Dic59C2411yescharacteristic
628C4⋊Dic59C2411yescharacteristic
629C4⋊Dic59C2411yescharacteristic
630C4⋊Dic59C2411yescharacteristic
631C4⋊Dic59C2411yescharacteristic
632Dic59⋊C4—21no—
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648C4×Dic59—21no—
649C4×Dic59—21no—
650C4×Dic59—21no—
651C4×Dic59—21no—
652C4×Dic59—21no—
653C4×Dic59—21no—
654C4×Dic59—21no—
655#11745664—41no—
656#11745664—41no—
657C2×C59⋊C8—41no—
658C2×C59⋊C8—41no—
659C2×C59⋊C8—41no—
660C2×C59⋊C8—41no—
661C2×C59⋊C8C2411yescharacteristic
662C2×C59⋊C8C2411yescharacteristic
663C2×C59⋊C8C2411yescharacteristic
664C2×C59⋊C8C2411yescharacteristic
665C2×C59⋊C8C2411yescharacteristic
666C2×C59⋊C8C2411yescharacteristic
667C2×C59⋊C8C2411yescharacteristic
668C2×C59⋊C8C2411yescharacteristic
669C23×C59—21no—
670C23×C59C22×D411yescharacteristic
671C23×C59C22×D411yescharacteristic
672C23×C59C22×D411yescharacteristic
673C22×D59—21no—
674Q8×C59—21no—
675Q8×C59—21no—
676Q8×C59—21no—
677Q8×C59—21no—
678Q8×C59—21no—
679Q8×C59—41no—
680Q8×C59—42no—
681Q8×C59—42no—
682Q8×C59—81no—
683Q8×C59—81no—
684Q8×C59—81no—
685Q8×C592−1+412yes—
686D4×C59—21no—
687D4×C59—21no—
688D4×C59—41no—
689D4×C59—41no—
690D4×C59—41no—
691D4×C59—42no—
692D4×C59—81no—
693D4×C59—81no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—41no—
708C2×C4×C59—41no—
709C2×C4×C59—42no—
710C2×C4×C59—42no—
711C2×C4×C59—42no—
712C2×C4×C59—42no—
713C2×C4×C59—81no—
714C2×C4×C59C22×D411yescharacteristic
715C2×C4×C59C22×D411yescharacteristic
716C2×C4×C59C22×D411yescharacteristic
717C2×C4×C59C22×D411yescharacteristic
718C2×C4×C59C22×D411yescharacteristic
719C2×C4×C59C22×D411yescharacteristic
720C2×C4×C59C22×D411yescharacteristic
721C2×C4×C59C22×D411yescharacteristic
722C2×C4×C59C22×D411yescharacteristic
723C2×C4×C59C22×D411yescharacteristic
724C2×C4×C59C22×D411yescharacteristic
725C2×C4×C59C2511yescharacteristic
726C22⋊D59—81no—
727C22⋊D59—81no—
728C22⋊D59—81no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—81no—
737C2×Dic59—81no—
738D236—21no—
739D236—21no—
740C4×D59—81no—
741C4×D59—81no—
742C4×D59—81no—
743Dic118—21no—
744Dic118—21no—
745Dic118—81no—
746Dic118—81no—
747Dic118—81no—
748Dic118—81no—
749C59⋊C8—21no—
750C59⋊C8—21no—
751C59⋊C8—21no—
752C59⋊C8—21no—
753C59⋊C8—21no—
754C59⋊C8—21no—
755C59⋊C8—21no—
756C59⋊C8—21no—
757#62161—591nomaximal, Sylow
758C22×C59—21no—
759C22×C59—21no—
760C22×C59—21no—
761C22×C59—21no—
762C22×C59—21no—
763C22×C59—21no—
764C22×C59—21no—
765C22×C59—21no—
766C22×C59—21no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59C23×D411yescharacteristic
771C2×D59—41no—
772C2×D59—41no—
773C2×D59—41no—
774C4×C59—21no—
775C4×C59—21no—
776C4×C59—21no—
777C4×C59—21no—
778C4×C59—21no—
779C4×C59—21no—
780C4×C59—21no—
781C4×C59—21no—
782C4×C59—21no—
783C4×C59—21no—
784C4×C59—21no—
785C4×C59—22no—
786C4×C59—41no—
787C4×C59—41no—
788C4×C59—41no—
789C4×C59—41no—
790C4×C59—41no—
791C4×C59—41no—
792C4×C59C2×2−1+411yescharacteristic
793C4×C59#58511yescharacteristic
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798Dic59—41no—
799Dic59—41no—
800Dic59—41no—
801#3565—591no—
802#3518D5911yescharacteristic, complemented
803#3387—591no—
804#3385—591no—
805#3377—591no—
806#3376—591no—
807#3350—591no—
808#3349—591no—
809#3348—591no—
810#3347—591no—
811#3342—591no—
812#3340—591no—
813#3321—591no—
814#3320—591no—
815#3313—591no—
816#3312—591no—
817#3301—591no—
818#3300—591no—
819#3263—591no—
820#3262—591no—
821#3248—591no—
822#3244—591no—
823#3243—591no—
824#3237—591no—
825#3121—591no—
826#3121—591no—
827#3111—591no—
828#3082—591no—
829#3082—591no—
830#3076—591no—
831#2992—591no—
832C2×C59—41no—
833C2×C59—41no—
834C2×C59—41no—
835C2×C59—81no—
836C2×C59#348911yescharacteristic
837C2×C59#358411yescharacteristic
838C2×C59#358611yescharacteristic
839D59—81no—
840#563—1181no—
841#562—1181no—
842Q82C2×D5911yescharacteristic
843#557—591no—
844#556—21no—
845#556—21no—
846#556—21no—
847#556—591no—
848#556—1181no—
849#556C2×D5911yescharacteristic
850#556C2×D5911yescharacteristic
851#556C2×D5911yescharacteristic
852#555—21no—
853#555—591no—
854#555C2×D5911yescharacteristic
855#554—591no—
856#553—591no—
857#553—591no—
858#552—591no—
859#552—591no—
860#552—1181no—
861D4×Q8C2×D5911yescharacteristic
862#548C2×D5911yescharacteristic
863#548C2×D5911yescharacteristic
864#544—591no—
865#544—591no—
866#542—21no—
867#542—21no—
868#542—591no—
869#542—591no—
870#542—1181no—
871#542—1181no—
872#542C2×D5911yescharacteristic
873#542C2×D5911yescharacteristic
874#541—1181no—
875#539—1181no—
876#533—21no—
877#533—591no—
878#533C2×D5911yescharacteristic
879#529—21no—
880#529—591no—
881#529C2×D5911yescharacteristic
882#519C2×D5911yescharacteristic
883#519C2×D5911yescharacteristic
884C4×#41C2×D5911yescharacteristic
885#501—591no—
886#501—591no—
887#501—591no—
888#501—591no—
889#500—591no—
890#498—591no—
891#491—591no—
892#491—591no—
893#489—591no—
894#489—591no—
895#488—591no—
896#488—591no—
897#485—591no—
898#485—591no—
899#485—591no—
900#485—591no—
901#485—591no—
902#485—591no—
903#485—591no—
904#485—591no—
905#485—591no—
906#484—591no—
907#483—591no—
908#482—591no—
909#482—591no—
910#482—591no—
911#482—591no—
912#482—591no—
913#481—591no—
914#480—591no—
915#479—591no—
916#479—591no—
917#479—591no—
918#479—591no—
919#479—591no—
920#479—591no—
921#479—591no—
922#479—591no—
923#479—591no—
924#478—591no—
925#478—591no—
926#478—591no—
927#477—591no—
928#477—591no—
929#477—591no—
930#477—591no—
931#477—591no—
932#477—591no—
933#476—591no—
934#476—591no—
935#475—591no—
936#475—591no—
937#475—591no—
938#475—591no—
939#475—591no—
940#475—591no—
941#475—591no—
942#474—591no—
943#474—591no—
944#474—591no—
945#470—591no—
946#469—591no—
947#468—591no—
948#468—591no—
949#467—591no—
950#467—591no—
951#467—591no—
952#466—591no—
953#465—591no—
954#465—591no—
955#465—591no—
956#465—591no—
957#464—591no—
958#464—591no—
959#464—591no—
960#464—591no—
961#464—591no—
962#463—591no—
963#463—591no—
964#463—591no—
965#462—591no—
966#461—591no—
967#452—591no—
968#451—591no—
969#451—591no—
970#449—591no—
971#448—591no—
972#448—591no—
973#446—591no—
974#446—591no—
975#442—591no—
976#441—591no—
977#441—591no—
978#441—591no—
979#440—591no—
980#440—591no—
981#440—591no—
982#440—591no—
983C4×Q16—591no—
984C4×Q16—591no—
985C4×SD16—591no—
986C4×SD16—591no—
987#435—591no—
988#435—591no—
989#435—591no—
990#435—591no—
991C8×D4—591no—
992C8×D4—591no—
993#433—591no—
994#433—591no—
995#432—591no—
996#428—591no—
997#428—591no—
998#427—591no—
999#427—591no—
1000#427—591no—
1001#427—591no—
1002#424—591no—
1003#424—591no—
1004C2×C4⋊C8—591no—
1005#419—591no—
1006#419—591no—
1007#416—591no—
1008#416—591no—
1009C2×#103—591no—
1010C2×#103—591no—
1011C59#6216111yescharacteristic, complemented, Sylow
1012C2×#41C22×D5911yescharacteristic
1013C22×Q8C22×D5911yescharacteristic
1014C22×Q8C22×D5911yescharacteristic
1015C2×Q16—591no—
1016C2×Q16—591no—
1017C2×Q16—591no—
1018C2×SD16—591no—
1019C2×SD16—591no—
1020C2×SD16—591no—
1021C2×SD16—591no—
1022C2×D8—591no—
1023C2×M16—591no—
1024C2×M16—591no—
1025C22×C8—591no—
1026C22×C8—591no—
1027C22×C8—591no—
1028C22×C8—591no—
1029C4⋊Q8—21no—
1030C4⋊Q8—21no—
1031C4⋊Q8—21no—
1032C4⋊Q8—21no—
1033C4⋊Q8—591no—
1034C4⋊Q8—591no—
1035C4⋊Q8—591no—
1036C4⋊Q8—591no—
1037C4⋊Q8—1181no—
1038C4⋊Q8—1181no—
1039C4⋊Q8—1181no—
1040C4⋊Q8C22×D5911yescharacteristic
1041C4⋊Q8C22×D5911yescharacteristic
1042C4⋊Q8C22×D5911yescharacteristic
1043C4⋊Q8C22×D5911yescharacteristic
1044#126—21no—
1045#126—21no—
1046#126—21no—
1047#126—21no—
1048#126—21no—
1049#126—21no—
1050#126—21no—
1051#126—21no—
1052#126—1181no—
1053#126—1181no—
1054#126—1181no—
1055#126—1181no—
1056#126—1181no—
1057#126—1181no—
1058#126—1181no—
1059#126—1181no—
1060#126—1181no—
1061#126C22⋊D5911yescharacteristic
1062#126C22⋊D5911yescharacteristic
1063#125—21no—
1064#125—591no—
1065#125—591no—
1066#125—591no—
1067#125—591no—
1068#125—591no—
1069#125—1181no—
1070#125—1181no—
1071#125—1181no—
1072#125—1181no—
1073#125—1181no—
1074#125—1181no—
1075#125C22⋊D5911yescharacteristic
1076#124—21no—
1077#124—21no—
1078#124—21no—
1079#124—21no—
1080#124—21no—
1081#124—21no—
1082#124—21no—
1083#124—21no—
1084#124—591no—
1085#124—1181no—
1086#124—1181no—
1087#124—1181no—
1088#124—1181no—
1089#124—1181no—
1090#124C22⋊D5911yescharacteristic
1091#124C22×D5911yescharacteristic
1092#124C22×D5911yescharacteristic
1093#123—21no—
1094#123—21no—
1095#123—1181no—
1096#123—1181no—
1097#123—1181no—
1098#123—1181no—
1099#123—1181no—
1100#123—1181no—
1101#123—1181no—
1102#123C22⋊D5911yescharacteristic
1103#123C22⋊D5911yescharacteristic
1104C22⋊Q8—21no—
1105C22⋊Q8—21no—
1106C22⋊Q8—21no—
1107C22⋊Q8—21no—
1108C22⋊Q8—21no—
1109C22⋊Q8—21no—
1110C22⋊Q8—21no—
1111C22⋊Q8—21no—
1112C22⋊Q8—591no—
1113C22⋊Q8—591no—
1114C22⋊Q8—591no—
1115C22⋊Q8—1181no—
1116C22⋊Q8—1181no—
1117C22⋊Q8—1181no—
1118C22⋊Q8—1181no—
1119C22⋊Q8—1181no—
1120C22⋊Q8—1181no—
1121C22⋊Q8—1181no—
1122C22⋊Q8—1181no—
1123C22⋊Q8—1181no—
1124C22⋊Q8—1181no—
1125C22⋊Q8—1181no—
1126C22⋊Q8C22⋊D5911yescharacteristic
1127C22⋊Q8C22×D5911yescharacteristic
1128C22⋊Q8C22×D5911yescharacteristic
1129C22⋊Q8C22×D5911yescharacteristic
1130C22⋊Q8C22×D5911yescharacteristic
1131#121—21no—
1132#121—21no—
1133#121—21no—
1134#121—591no—
1135#121—591no—
1136#121—591no—
1137#121—1181no—
1138#121—1181no—
1139#121—1181no—
1140#121C22⋊D5911yescharacteristic
1141#121C22×D5911yescharacteristic
1142#121C22×D5911yescharacteristic
1143C4×Q8—21no—
1144C4×Q8—21no—
1145C4×Q8—21no—
1146C4×Q8—21no—
1147C4×Q8—21no—
1148C4×Q8—21no—
1149C4×Q8—21no—
1150C4×Q8—21no—
1151C4×Q8—591no—
1152C4×Q8—591no—
1153C4×Q8—591no—
1154C4×Q8—1181no—
1155C4×Q8—1181no—
1156C4×Q8—1181no—
1157C4×Q8—1181no—
1158C4×Q8C22×D5911yescharacteristic
1159C4×Q8C22×D5911yescharacteristic
1160C4×Q8C22×D5911yescharacteristic
1161C4×Q8C22×D5911yescharacteristic
1162C4×Q8C22×D5911yescharacteristic
1163C4×Q8C22×D5911yescharacteristic
1164C4×Q8C22×D5911yescharacteristic
1165C4×Q8C22×D5911yescharacteristic
1166C4×Q8C22×D5911yescharacteristic
1167C4×D4—21no—
1168C4×D4—21no—
1169C4×D4—21no—
1170C4×D4—21no—
1171C4×D4—21no—
1172C4×D4—591no—
1173C4×D4—591no—
1174C4×D4—591no—
1175C4×D4—1181no—
1176C4×D4—1181no—
1177C4×D4—1181no—
1178C4×D4C22×D5911yescharacteristic
1179C4×D4C22×D5911yescharacteristic
1180C4×D4C22×D5911yescharacteristic
1181C4×D4C22×D5911yescharacteristic
1182C4×D4C22×D5911yescharacteristic
1183#117—21no—
1184#117—21no—
1185#117—21no—
1186#117—21no—
1187#117—21no—
1188#117—21no—
1189#117—21no—
1190#117—21no—
1191#117—591no—
1192#117—591no—
1193#117—591no—
1194#117—591no—
1195#117—1181no—
1196#117—1181no—
1197#117—1181no—
1198#117—1181no—
1199#117C22×D5911yescharacteristic
1200#117C22×D5911yescharacteristic
1201#117C22×D5911yescharacteristic
1202#117C22×D5911yescharacteristic
1203#117C22×D5911yescharacteristic
1204C2×C4⋊C4—591no—
1205C2×C4⋊C4—591no—
1206C2×C4⋊C4—1181no—
1207C2×C42—21no—
1208C2×C42C22×D5911yescharacteristic
1209#107—591no—
1210#107—591no—
1211#107—591no—
1212#107—591no—
1213#107—591no—
1214#107—591no—
1215#107—591no—
1216#107—591no—
1217#107—591no—
1218#107—591no—
1219#107—591no—
1220#107—591no—
1221#106—591no—
1222#106—591no—
1223#106—591no—
1224#106—591no—
1225#106—591no—
1226#106—591no—
1227#106—591no—
1228#106—591no—
1229#106—591no—
1230#106—591no—
1231#106—591no—
1232#106—591no—
1233C4⋊C8—591no—
1234C4⋊C8—591no—
1235C4⋊C8—591no—
1236C4⋊C8—591no—
1237C4⋊C8—591no—
1238C4⋊C8—591no—
1239C4⋊C8—591no—
1240C4⋊C8—591no—
1241C4⋊C8—591no—
1242C4⋊C8—591no—
1243#103—591no—
1244#103—591no—
1245#103—591no—
1246#103—591no—
1247#103—591no—
1248#103—591no—
1249#103—591no—
1250#103—591no—
1251#103—591no—
1252#103—591no—
1253#103—591no—
1254#103—591no—
1255#103—591no—
1256#103—591no—
1257#103—591no—
1258#103—591no—
1259#103—591no—
1260#103—591no—
1261#103—591no—
1262#103—591no—
1263#103—591no—
1264#103—591no—
1265#102—591no—
1266#102—591no—
1267#102—591no—
1268#102—591no—
1269#102—591no—
1270#102—591no—
1271#102—591no—
1272#102—591no—
1273#102—591no—
1274#102—591no—
1275C22⋊C8—591no—
1276C22⋊C8—591no—
1277C22⋊C8—591no—
1278C22⋊C8—591no—
1279C22⋊C8—591no—
1280C22⋊C8—591no—
1281#97—591no—
1282#97—591no—
1283#97—591no—
1284#97—591no—
1285C4×C8—591no—
1286C4×C8—591no—
1287#41—22no—
1288#41—41no—
1289C2×Q8—21no—
1290C2×Q8—21no—
1291C2×Q8—21no—
1292C2×Q8—21no—
1293C2×Q8—21no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—41no—
1297C2×Q8—41no—
1298C2×Q8—591no—
1299C2×Q8—1181no—
1300C2×Q8—1181no—
1301C2×Q8—1181no—
1302C2×Q8—1181no—
1303C2×Q8C2×C22⋊D5911yescharacteristic
1304C2×Q8C23×D5911yescharacteristic
1305C2×Q8C23×D5911yescharacteristic
1306C2×Q8C23×D5911yescharacteristic
1307C2×D4—21no—
1308C2×D4—21no—
1309C2×D4—21no—
1310C2×D4—591no—
1311C2×D4—1181no—
1312C2×D4—1181no—
1313C2×D4—1181no—
1314C2×D4C2×C22⋊D5911yescharacteristic
1315C2×D4C2×C22⋊D5911yescharacteristic
1316C2×D4C2×C22⋊D5911yescharacteristic
1317C2×D4C23×D5911yescharacteristic
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—1181no—
1324C22×C4—1181no—
1325C22×C4—1181no—
1326C22×C4—1181no—
1327C22×C4—1181no—
1328C22×C4C2×C22⋊D5911yescharacteristic
1329C22×C4C2×C22⋊D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C22×C4C23×D5911yescharacteristic
1333Q16—1182no—
1334Q16—2361no—
1335Q16—2361no—
1336SD16—1182no—
1337SD16—2361no—
1338SD16—2361no—
1339SD16—2361no—
1340D8—2361no—
1341M16—2361no—
1342M16—2361no—
1343C2×C8—591no—
1344C2×C8—591no—
1345C2×C8—591no—
1346C2×C8—591no—
1347C2×C8—591no—
1348C2×C8—591no—
1349C2×C8—591no—
1350C2×C8—591no—
1351C2×C8—2361no—
1352C2×C8—2361no—
1353C2×C8—2361no—
1354C2×C8—2361no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—591no—
1373C4⋊C4—591no—
1374C4⋊C4—591no—
1375C4⋊C4—591no—
1376C4⋊C4—591no—
1377C4⋊C4—591no—
1378C4⋊C4—1181no—
1379C4⋊C4—1181no—
1380C4⋊C4—1181no—
1381C4⋊C4—1181no—
1382C4⋊C4—1181no—
1383C4⋊C4—1181no—
1384C4⋊C4—1181no—
1385C4⋊C4—1181no—
1386C4⋊C4—1181no—
1387C4⋊C4—1181no—
1388C4⋊C4—1181no—
1389C4⋊C4—1181no—
1390C4⋊C4—1181no—
1391C4⋊C4—1181no—
1392C4⋊C4—1181no—
1393C4⋊C4—1181no—
1394C4⋊C4—1181no—
1395C4⋊C4—1181no—
1396C4⋊C4—1181no—
1397C4⋊C4—1181no—
1398C4⋊C4—1181no—
1399C4⋊C4—1181no—
1400C4⋊C4C2×C22⋊D5911yescharacteristic
1401C4⋊C4C2×C22⋊D5911yescharacteristic
1402C4⋊C4C2×C22⋊D5911yescharacteristic
1403C4⋊C4C2×C22⋊D5911yescharacteristic
1404C4⋊C4C2×C22⋊D5911yescharacteristic
1405C4⋊C4C2×C22⋊D5911yescharacteristic
1406C4⋊C4C2×C22⋊D5911yescharacteristic
1407C4⋊C4C2×C22⋊D5911yescharacteristic
1408C4⋊C4C2×C22⋊D5911yescharacteristic
1409C4⋊C4C2×C22⋊D5911yescharacteristic
1410C4⋊C4C23×D5911yescharacteristic
1411C4⋊C4C23×D5911yescharacteristic
1412C4⋊C4C23×D5911yescharacteristic
1413C4⋊C4C23×D5911yescharacteristic
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—1181no—
1430C22⋊C4—1181no—
1431C22⋊C4—1181no—
1432C22⋊C4—1181no—
1433C22⋊C4—1181no—
1434C22⋊C4—1181no—
1435C22⋊C4—1181no—
1436C22⋊C4—1181no—
1437C22⋊C4—1181no—
1438C22⋊C4—1181no—
1439C22⋊C4—1181no—
1440C22⋊C4—1181no—
1441C22⋊C4—1181no—
1442C22⋊C4—1181no—
1443C22⋊C4—1181no—
1444C22⋊C4C2×C22⋊D5911yescharacteristic
1445C22⋊C4C2×C22⋊D5911yescharacteristic
1446C22⋊C4C2×C22⋊D5911yescharacteristic
1447C22⋊C4C2×C22⋊D5911yescharacteristic
1448C22⋊C4C2×C22⋊D5911yescharacteristic
1449C22⋊C4C2×C22⋊D5911yescharacteristic
1450C22⋊C4C2×C22⋊D5911yescharacteristic
1451C22⋊C4C2×C22⋊D5911yescharacteristic
1452C22⋊C4C2×C22⋊D5911yescharacteristic
1453C22⋊C4C2×C22⋊D5911yescharacteristic
1454C42—21no—
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—21no—
1459C42—21no—
1460C42—21no—
1461C42—21no—
1462C42—21no—
1463C42—21no—
1464C42—21no—
1465C42—1181no—
1466C42—1181no—
1467C42—1181no—
1468C42—1181no—
1469C42—1181no—
1470C42—1181no—
1471C42—1181no—
1472C42C2×C22⋊D5911yescharacteristic
1473C42C2×C22⋊D5911yescharacteristic
1474C42C23×D5911yescharacteristic
1475C42C23×D5911yescharacteristic
1476C42C23×D5911yescharacteristic
1477C42C23×D5911yescharacteristic
1478C23—21no—
1479C23—1181no—
1480C23C22×C22⋊D5911yescharacteristic
1481C23C22×C22⋊D5911yescharacteristic
1482C23C22×C22⋊D5911yescharacteristic
1483Q8—21no—
1484Q8—21no—
1485Q8—21no—
1486Q8—21no—
1487Q8—21no—
1488Q8—41no—
1489Q8—42no—
1490Q8—42no—
1491Q8—81no—
1492Q8—81no—
1493Q8—81no—
1494Q8—1181no—
1495Q8—1181no—
1496Q8—4721no—
1497Q8—4721no—
1498Q8—4721no—
1499Q8—4721no—
1500Q8#1427377412yes—
1501D4—21no—
1502D4—21no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—42no—
1507D4—81no—
1508D4—81no—
1509D4—1181no—
1510D4—1181no—
1511D4—4721no—
1512D4—4721no—
1513D4—4721no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—42no—
1530C2×C4—42no—
1531C2×C4—42no—
1532C2×C4—42no—
1533C2×C4—81no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—4721no—
1542C2×C4—4721no—
1543C2×C4—4721no—
1544C2×C4—4721no—
1545C2×C4—4721no—
1546C2×C4C22×C22⋊D5911yescharacteristic
1547C2×C4C22×C22⋊D5911yescharacteristic
1548C2×C4C22×C22⋊D5911yescharacteristic
1549C2×C4C22×C22⋊D5911yescharacteristic
1550C2×C4C22×C22⋊D5911yescharacteristic
1551C2×C4C22×C22⋊D5911yescharacteristic
1552C2×C4C22×C22⋊D5911yescharacteristic
1553C2×C4C22×C22⋊D5911yescharacteristic
1554C2×C4C22×C22⋊D5911yescharacteristic
1555C2×C4C22×C22⋊D5911yescharacteristic
1556C2×C4C22×C22⋊D5911yescharacteristic
1557C2×C4C24×D5911yescharacteristic
1558C8—1181no—
1559C8—1181no—
1560C8—1181no—
1561C8—1181no—
1562C8—1181no—
1563C8—1181no—
1564C8—1181no—
1565C8—1181no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—21no—
1571C22—21no—
1572C22—21no—
1573C22—21no—
1574C22—21no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—2361no—
1579C22—2361no—
1580C22—2361no—
1581C22C23×C22⋊D5911yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—22no—
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—21no—
1593C4—21no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—2361no—
1601C4—2361no—
1602C4—2361no—
1603C4—2361no—
1604C4—2361no—
1605C4—2361no—
1606C4—2361no—
1607C4C2×#1427377411yescharacteristic
1608C4#1683823811yescharacteristic
1609C2—41no—
1610C2—41no—
1611C2—41no—
1612C2—81no—
1613C2—4721no—
1614C2#2143777611yescharacteristic
1615C2#2143886711yescharacteristic
1616C2#2143888311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3518C2
socleC22×C59C23×D4
hypercenter#3518D59
hypocenterC59#62161
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #3518

Complements

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

NH ≅ G/Ntype
1. #21438741C2semidirect
2. #21437024C2semidirect
3. #21437002C2semidirect
4. #21436932C2semidirect
5. #21436917C2semidirect
6. #21436641C2semidirect
7. #21436620C2semidirect
8. #21436611C2semidirect
9. #21436596C2semidirect
10. #21436522C2semidirect
11. #21436503C2semidirect
12. #21436282C2semidirect
13. #21436267C2semidirect
14. #21436162C2semidirect
15. #21436147C2semidirect
16. #21435998C2semidirect
17. #21435983C2semidirect
18. #21435561C2semidirect
19. #21435552C2semidirect
20. #21435427C2semidirect
21. #21435388C2semidirect
22. #21435373C2semidirect
23. #21435306C2semidirect
24. #21434325C2semidirect
25. #21434325C2semidirect
26. #21434205C2semidirect
27. #21433938C2semidirect
28. #21433938C2semidirect
29. #21433884C2semidirect
30. #21433235C2semidirect
31. C59×#3518C2semidirect
802. #3518D59semidirect
1011. C59#62161semidirect

Maximal subgroups

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

subgroupindex
#214387412
#214370242
#214370022
#214369322
#214369172
#214366412
#214366202
#214366112
#214365962
#214365222
#214365032
#214362822
#214362672
#214361622
#214361472
#214359982
#214359832
#214355612
#214355522
#214354272
#214353882
#214353732
#214353062
#214343252
#214342052
#214339382
#214338842
#214332352
C59×#35182
#6216159