Finite Group Databasebeta

← #29483828

Subgroups — #29483828

Order 15104.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438168C211yesmaximal, characteristic, complemented
2#21437156C211yesmaximal, characteristic, complemented
3#21437112C211yesmaximal, characteristic, complemented
4#21436843C211yesmaximal, characteristic, complemented
5#21436799C211yesmaximal, characteristic, complemented
6#21436327C211yesmaximal, characteristic, complemented
7#21436297C211yesmaximal, characteristic, complemented
8#21436237C211yesmaximal, characteristic, complemented
9#21436222C211yesmaximal, characteristic, complemented
10#21436132C211yesmaximal, characteristic, complemented
11#21436117C211yesmaximal, characteristic, complemented
12#21435703C211yesmaximal, characteristic, complemented
13#21435692C211yesmaximal, characteristic, complemented
14#21435637C211yesmaximal, characteristic, complemented
15#21435617C211yesmaximal, characteristic, complemented
16#21435572C211yesmaximal, characteristic, complemented
17#21435572C211yesmaximal, characteristic, complemented
18#21435542C211yesmaximal, characteristic, complemented
19#21435501C211yesmaximal, characteristic, complemented
20#21435492C211yesmaximal, characteristic, complemented
21#21435190C211yesmaximal, characteristic, complemented
22#21435168C211yesmaximal, characteristic, complemented
23#21435114C211yesmaximal, characteristic, complemented
24#21434334C211yesmaximal, characteristic, complemented
25#21434289C211yesmaximal, characteristic, complemented
26#21434199C211yesmaximal, characteristic, complemented
27#21433631C211yesmaximal, characteristic, complemented
28#21433595C211yesmaximal, characteristic, complemented
29#21433572C211yesmaximal, characteristic, complemented
30#21433266C211yesmaximal, characteristic, complemented
31C59×#3543C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic, complemented
33C2×#14273753C2211yescharacteristic, complemented
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic, complemented
37C22×#11745669C2211yescharacteristic, complemented
38#16838125C2211yescharacteristic, complemented
39#16838122C2211yescharacteristic, complemented
40#16838112C2211yescharacteristic, complemented
41#16838098C2211yescharacteristic, complemented
42#16838097—21no—
43#16838092C2211yescharacteristic, complemented
44#16838084—21no—
45#16838082—21no—
46#16838080—21no—
47#16838057C2211yescharacteristic, complemented
48#16838048C2211yescharacteristic, complemented
49#16838048C2211yescharacteristic, complemented
50#16838023C2211yescharacteristic, complemented
51#16838014C2211yescharacteristic, complemented
52#16837998—21no—
53#16837984—21no—
54#16837936C2211yescharacteristic, complemented
55#16837935—21no—
56#126×D59—21no—
57#16837882C2211yescharacteristic, complemented
58#16837876C2211yescharacteristic, complemented
59C4×#11745685C2211yescharacteristic, complemented
60#16837797C2211yescharacteristic, complemented
61#16837789C2211yescharacteristic
62#16837789C2211yescharacteristic, complemented
63#16837789C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837774C2211yescharacteristic, complemented
66#16837766C2211yescharacteristic, complemented
67#16837766C2211yescharacteristic, complemented
68#16837766C2211yescharacteristic, complemented
69#16837761C2211yescharacteristic, complemented
70#16837756C2211yescharacteristic, complemented
71#16837748C2211yescharacteristic, complemented
72#16837740C2211yescharacteristic, complemented
73#16837723C2211yescharacteristic, complemented
74#16837723C2211yescharacteristic, complemented
75#16837723C2211yescharacteristic, complemented
76#16837718C2211yescharacteristic, complemented
77#16837713C2211yescharacteristic, complemented
78#16837709C2211yescharacteristic, complemented
79#16837706C2211yescharacteristic, complemented
80#16837706C2211yescharacteristic, complemented
81#16837702C2211yescharacteristic, complemented
82#16837702C2211yescharacteristic, complemented
83#16837702C2211yescharacteristic, complemented
84#16837699C2211yescharacteristic, complemented
85#16837699C2211yescharacteristic, complemented
86#16837692C2211yescharacteristic, complemented
87#16837682C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic
90#16837653C2211yescharacteristic, complemented
91#16837650C2211yescharacteristic, complemented
92#16837646C2211yescharacteristic, complemented
93#16837646C2211yescharacteristic, complemented
94#16837646C2211yescharacteristic, complemented
95#16837646C2211yescharacteristic, complemented
96#16837636C2211yescharacteristic, complemented
97#16837629C2211yescharacteristic, complemented
98#16837629C2211yescharacteristic, complemented
99#16837629C2211yescharacteristic, complemented
100#16837624C2211yescharacteristic, complemented
101#16837621C2211yescharacteristic, complemented
102#16837621C2211yescharacteristic, complemented
103#16837621C2211yescharacteristic, complemented
104#16837617C2211yescharacteristic, complemented
105#16837617C2211yescharacteristic, complemented
106#16837617C2211yescharacteristic, complemented
107#16837614C2211yescharacteristic, complemented
108#16837614C2211yescharacteristic, complemented
109#16837614C2211yescharacteristic, complemented
110#16837614C2211yescharacteristic, complemented
111#16837614C2211yescharacteristic, complemented
112#16837607C2211yescharacteristic, complemented
113#16837607C2211yescharacteristic, complemented
114#16837599C2211yescharacteristic, complemented
115#16837599C2211yescharacteristic, complemented
116#16837599C2211yescharacteristic, complemented
117#16837599C2211yescharacteristic, complemented
118#16837599C2211yescharacteristic, complemented
119#16837599C2211yescharacteristic, complemented
120#16837599C2211yescharacteristic, complemented
121#16837594C2211yescharacteristic
122#16837594C2211yescharacteristic, complemented
123#16837594C2211yescharacteristic, complemented
124#16837594C2211yescharacteristic, complemented
125#16837594C2211yescharacteristic, complemented
126#16837594C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837594C2211yescharacteristic, complemented
129#16837594C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic, complemented
134#16837553C2211yescharacteristic, complemented
135#16837553C2211yescharacteristic, complemented
136#16837553C2211yescharacteristic, complemented
137#16837553C2211yescharacteristic, complemented
138#16837553C2211yescharacteristic, complemented
139#16837547C2211yescharacteristic, complemented
140#16837545C2211yescharacteristic
141#16837545C2211yescharacteristic, complemented
142#16837545C2211yescharacteristic, complemented
143#16837536C2211yescharacteristic, complemented
144#16837536C2211yescharacteristic, complemented
145#16837536C2211yescharacteristic, complemented
146#16837535C2211yescharacteristic, complemented
147#16837535C2211yescharacteristic, complemented
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic, complemented
151#16837512C2211yescharacteristic, complemented
152#16837512C2211yescharacteristic, complemented
153#16837512C2211yescharacteristic, complemented
154#16837507C2211yescharacteristic, complemented
155#16837502C2211yescharacteristic, complemented
156#16837502C2211yescharacteristic, complemented
157#16837500C2211yescharacteristic, complemented
158C4×#11745670C2211yescharacteristic, complemented
159C4×#11745669C2211yescharacteristic, complemented
160C4×#11745669C2211yescharacteristic, complemented
161C4×#11745669C2211yescharacteristic, complemented
162#16837480C2211yescharacteristic, complemented
163#16837480C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic, complemented
165#16837474C2211yescharacteristic, complemented
166#16837474C2211yescharacteristic, complemented
167#16837474C2211yescharacteristic, complemented
168#16837463C2211yescharacteristic, complemented
169#16837463C2211yescharacteristic, complemented
170#16837459C2211yescharacteristic, complemented
171#16837429C2211yescharacteristic, complemented
172#16837429C2211yescharacteristic, complemented
173#16837426C2211yescharacteristic, complemented
174#16837407C2211yescharacteristic, complemented
175#16837407C2211yescharacteristic, complemented
176#16837407C2211yescharacteristic, complemented
177#16837403C2211yescharacteristic, complemented
178#16837398C2211yescharacteristic, complemented
179C2×#14273648C2211yescharacteristic, complemented
180C59×#560—21no—
181C59×#560—21no—
182C59×#559C2211yescharacteristic, complemented
183C59×#550C2211yescharacteristic
184C59×#550C2211yescharacteristic, complemented
185C59×#546—21no—
186C59×#546C2211yescharacteristic
187C59×#546C2211yescharacteristic, complemented
188D42×C59—21no—
189D42×C59C2211yescharacteristic
190D42×C59C2211yescharacteristic
191D42×C59C2211yescharacteristic, complemented
192C59×#540—21no—
193C59×#540C2211yescharacteristic
194C59×#540C2211yescharacteristic, complemented
195C59×#535—21no—
196C59×#535C2211yescharacteristic
197C59×#535C2211yescharacteristic, complemented
198C59×#534—21no—
199C59×#534—21no—
200C2×#127×C59C2211yescharacteristic, complemented
201C59×#529C2211yescharacteristic
202C59×#529C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C22×D236C2311yescharacteristic
206#14273753—42no—
207#14273753—42no—
208#14273753—42no—
209#14273752—42no—
210#14273747—42no—
211C2×#11745672C2311yescharacteristic
212C2×#11745672C2311yescharacteristic
213C2×#11745670C2311yescharacteristic
214C2×#11745670C2311yescharacteristic
215C2×#11745670C2311yescharacteristic
216C2×#11745670C2311yescharacteristic
217C2×#11745670C2311yescharacteristic
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745669—42no—
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745664C2311yescharacteristic
237C2×#11745664C2311yescharacteristic
238C2×#11745664C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C22×C59⋊C8C2311yescharacteristic
241C22×C59⋊C8C2311yescharacteristic
242#14273727C2311yescharacteristic
243#14273727C2311yescharacteristic
244#14273722—21no—
245#14273722—21no—
246#14273722—21no—
247#14273722—21no—
248#14273721—21no—
249#14273720—21no—
250#14273720—21no—
251#14273720—21no—
252#14273720—21no—
253#14273720—21no—
254#14273719C2311yescharacteristic
255#14273719C2311yescharacteristic
256#14273717—21no—
257#14273717—21no—
258#14273717—21no—
259#14273715C2311yescharacteristic
260#14273715C2311yescharacteristic
261#14273714—21no—
262#14273713—21no—
263#14273712—21no—
264#14273712—21no—
265#14273710—21no—
266#14273709—21no—
267#14273709—21no—
268#14273709—21no—
269#14273709—21no—
270#14273708—21no—
271#14273706C2311yescharacteristic
272#14273706C2311yescharacteristic
273#14273706C2311yescharacteristic
274#14273706C2311yescharacteristic
275#14273705—21no—
276#14273705—21no—
277#14273705—21no—
278#14273703—21no—
279#14273703—21no—
280#14273701C2311yescharacteristic
281#14273701C2311yescharacteristic
282#14273700—21no—
283#14273700—21no—
284#14273699—21no—
285#14273698—21no—
286#14273695—21no—
287#14273695—21no—
288C4×Dic118C2311yescharacteristic
289C4×Dic118C2311yescharacteristic
290C4×Dic118C2311yescharacteristic
291C4×Dic118C2311yescharacteristic
292#14273692—21no—
293C4×D236C2311yescharacteristic
294C4×D236C2311yescharacteristic
295C4×D236C2311yescharacteristic
296C4×D236C2311yescharacteristic
297C4×D236C2311yescharacteristic
298C4×D236C2311yescharacteristic
299#14273689—21no—
300#14273689—21no—
301C4×C22⋊D59—21no—
302C4×C22⋊D59—21no—
303C4×C22⋊D59—21no—
304(C22⋊D59)⋊C4—21no—
305(C22⋊D59)⋊C4—21no—
306(C22⋊D59)⋊C4—21no—
307#14273686C2311yescharacteristic
308#14273686C2311yescharacteristic
309#14273685—21no—
310#14273685—21no—
311#14273684—21no—
312#14273684—21no—
313#14273683—21no—
314C2×C4⋊Dic59C2311yescharacteristic
315C4⋊C4×D59—21no—
316C4⋊C4×D59—21no—
317C4⋊C4×D59—21no—
318C22⋊C4×D59—21no—
319C22⋊C4×D59—21no—
320C22⋊C4×D59—21no—
321C22⋊C4×D59—21no—
322C42×D59—21no—
323#14273660C2311yescharacteristic
324#14273660C2311yescharacteristic
325#14273660C2311yescharacteristic
326#14273660C2311yescharacteristic
327#14273658C2311yescharacteristic
328#14273658C2311yescharacteristic
329#14273658C2311yescharacteristic
330#14273658C2311yescharacteristic
331C4⋊(C59⋊C8)C2311yescharacteristic
332C4⋊(C59⋊C8)C2311yescharacteristic
333C4⋊(C59⋊C8)C2311yescharacteristic
334C4⋊(C59⋊C8)C2311yescharacteristic
335C4⋊(C59⋊C8)C2311yescharacteristic
336C4⋊(C59⋊C8)C2311yescharacteristic
337C4⋊(C59⋊C8)C2311yescharacteristic
338C4⋊(C59⋊C8)C2311yescharacteristic
339C4⋊(C59⋊C8)C2311yescharacteristic
340C4⋊(C59⋊C8)C2311yescharacteristic
341#14273651C2311yescharacteristic
342#14273651C2311yescharacteristic
343#14273651C2311yescharacteristic
344#14273651C2311yescharacteristic
345#14273650C2311yescharacteristic
346#14273650C2311yescharacteristic
347#14273650C2311yescharacteristic
348#14273650C2311yescharacteristic
349#14273648C2311yescharacteristic
350#14273648C2311yescharacteristic
351#14273648C2311yescharacteristic
352#14273648C2311yescharacteristic
353#14273648C2311yescharacteristic
354#14273648C2311yescharacteristic
355#14273648C2311yescharacteristic
356#14273648C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273648C2311yescharacteristic
362#14273648C2311yescharacteristic
363#14273648C2311yescharacteristic
364#14273648C2311yescharacteristic
365#14273648C2311yescharacteristic
366#14273648C2311yescharacteristic
367#14273648C2311yescharacteristic
368#14273648C2311yescharacteristic
369#14273647C2311yescharacteristic
370#14273647C2311yescharacteristic
371#14273647C2311yescharacteristic
372#14273647C2311yescharacteristic
373C22⋊(C59⋊C8)C2311yescharacteristic
374C22⋊(C59⋊C8)C2311yescharacteristic
375C22⋊(C59⋊C8)C2311yescharacteristic
376C22⋊(C59⋊C8)C2311yescharacteristic
377C22⋊(C59⋊C8)C2311yescharacteristic
378C22⋊(C59⋊C8)C2311yescharacteristic
379#14273638C2311yescharacteristic
380#14273638C2311yescharacteristic
381#14273638C2311yescharacteristic
382#14273638C2311yescharacteristic
383C4×C59⋊C8C2311yescharacteristic
384C4×C59⋊C8C2311yescharacteristic
385C2×#41×C59—21no—
386C2×#41×C59C2311yescharacteristic
387C2×#41×C59C2311yescharacteristic
388C22×D4×C59—21no—
389C22×D4×C59—21no—
390C22×D4×C59—21no—
391C22×D4×C59—21no—
392C22×D4×C59—21no—
393C22×D4×C59C2311yescharacteristic
394C22×D4×C59C2311yescharacteristic
395C22×D4×C59C2311yescharacteristic
396C22×D4×C59C2311yescharacteristic
397#127×C59—21no—
398#127×C59—21no—
399#127×C59—21no—
400#127×C59C2311yescharacteristic
401#127×C59C2311yescharacteristic
402#127×C59C2311yescharacteristic
403#127×C59C2311yescharacteristic
404#127×C59C2311yescharacteristic
405#127×C59C2311yescharacteristic
406#126×C59—21no—
407#126×C59D411yescharacteristic
408#126×C59D411yescharacteristic
409#125×C59D411yescharacteristic
410#125×C59C2311yescharacteristic
411#124×C59—21no—
412#124×C59D411yescharacteristic
413#124×C59C2311yescharacteristic
414#124×C59C2311yescharacteristic
415#124×C59C2311yescharacteristic
416#123×C59—21no—
417#123×C59—21no—
418#123×C59—21no—
419#123×C59—21no—
420#123×C59—21no—
421#123×C59—21no—
422#123×C59—21no—
423#123×C59—21no—
424#123×C59—21no—
425#123×C59D411yescharacteristic
426#123×C59D411yescharacteristic
427C22⋊Q8×C59D411yescharacteristic
428C22⋊Q8×C59C2311yescharacteristic
429#121×C59—21no—
430#121×C59—21no—
431#121×C59—21no—
432#121×C59—21no—
433#121×C59—21no—
434#121×C59—21no—
435#121×C59—21no—
436#121×C59—21no—
437#121×C59—21no—
438#121×C59—21no—
439#121×C59—21no—
440#121×C59—21no—
441#121×C59—21no—
442#121×C59—21no—
443#121×C59—21no—
444#121×C59—21no—
445#121×C59—21no—
446#121×C59—21no—
447#121×C59D411yescharacteristic
448#121×C59C2311yescharacteristic
449#121×C59C2311yescharacteristic
450#121×C59C2311yescharacteristic
451#121×C59C2311yescharacteristic
452#121×C59C2311yescharacteristic
453#120×C59—21no—
454#120×C59—21no—
455#120×C59—21no—
456#120×C59—21no—
457#120×C59—21no—
458#120×C59—21no—
459#120×C59—21no—
460#120×C59—21no—
461#120×C59—21no—
462#120×C59—21no—
463#120×C59—21no—
464#120×C59—21no—
465C4×Q8×C59C2311yescharacteristic
466C4×Q8×C59C2311yescharacteristic
467C4×D4×C59—21no—
468C4×D4×C59—21no—
469C4×D4×C59—21no—
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472C4×D4×C59C2311yescharacteristic
473C4×D4×C59C2311yescharacteristic
474C4×D4×C59C2311yescharacteristic
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478#117×C59—21no—
479#117×C59C2311yescharacteristic
480#117×C59C2311yescharacteristic
481C2×C22⋊C4×C59—21no—
482C2×C22⋊C4×C59—21no—
483C2×C42×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C24×C59—21no—
487C24×C59—21no—
488C23×D59—21no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—41no—
492#41×C59—41no—
493#41×C59—82no—
494C2×Q8×C59C2×D411yescharacteristic
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×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—21no—
514C2×D4×C59—21no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—41no—
520C2×D4×C59—41no—
521C2×D4×C59—41no—
522C2×D4×C59—41no—
523C2×D4×C59—41no—
524C2×D4×C59—41no—
525C2×D4×C59—41no—
526C2×D4×C59—41no—
527C2×D4×C59—82no—
528C2×D4×C59—82no—
529C2×D4×C59—82no—
530C2×D4×C59—82no—
531C2×D4×C59—82no—
532C2×D4×C59C2×D411yescharacteristic
533C2×D4×C59C2×D411yescharacteristic
534C2×D4×C59C2×D411yescharacteristic
535C2×D4×C59C2411yescharacteristic
536C2×D4×C59C2411yescharacteristic
537C2×D4×C59C2411yescharacteristic
538C2×D4×C59C2411yescharacteristic
539C2×D4×C59C2411yescharacteristic
540C22×C4×C59—21no—
541C22×C4×C59—21no—
542C22×C4×C59—21no—
543C22×C4×C59—21no—
544C22×C4×C59—21no—
545C22×C4×C59—21no—
546C22×C4×C59—21no—
547C22×C4×C59C2×D411yescharacteristic
548C22×C4×C59C2×D411yescharacteristic
549C22×C4×C59C2411yescharacteristic
550C22×C4×C59C2411yescharacteristic
551C22×C4×C59C2411yescharacteristic
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—21no—
555C2×C22⋊D59—21no—
556C22×Dic59—21no—
557#11745685—22no—
558#11745685—22no—
559#11745685—41no—
560#11745685—41no—
561C2×D236—22no—
562C2×D236—21no—
563C2×D236—41no—
564C2×D236C2411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×Dic118—21no—
575C2×Dic118C2411yescharacteristic
576C2×Dic118C2411yescharacteristic
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59C2×D411yescharacteristic
582C4⋊C4×C59C2×D411yescharacteristic
583C4⋊C4×C59C2×D411yescharacteristic
584C4⋊C4×C59C2×D411yescharacteristic
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2×D411yescharacteristic
587C4⋊C4×C59C2×D411yescharacteristic
588C4⋊C4×C59C2×D411yescharacteristic
589C4⋊C4×C59C2×D411yescharacteristic
590C4⋊C4×C59C2×D411yescharacteristic
591C4⋊C4×C59C2411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59C2×D411yescharacteristic
611C22⋊C4×C59C2×D411yescharacteristic
612C22⋊C4×C59C2×D411yescharacteristic
613C22⋊C4×C59C2×D411yescharacteristic
614C22⋊C4×C59C2×D411yescharacteristic
615C22⋊C4×C59C2×D411yescharacteristic
616C22⋊C4×C59C2×D411yescharacteristic
617C22⋊C4×C59C2×D411yescharacteristic
618C22⋊C4×C59C2×D411yescharacteristic
619C22⋊C4×C59C2×D411yescharacteristic
620C42×C59—21no—
621C42×C59C2×D411yescharacteristic
622C42×C59C2×D411yescharacteristic
623C42×C59C2411yescharacteristic
624C42×C59C2411yescharacteristic
625C42×C59C2411yescharacteristic
626C42×C59C2411yescharacteristic
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633#11745672—41no—
634#11745672—41no—
635#11745671—22no—
636#11745671—41no—
637#11745670—41no—
638#11745670—41no—
639#11745670—41no—
640#11745670—41no—
641#11745670—41no—
642#11745670—41no—
643#11745670—41no—
644#11745670—41no—
645#11745670—41no—
646#11745670—41no—
647#11745669—22no—
648#11745669—22no—
649#11745669—22no—
650#11745669—22no—
651#11745669—22no—
652#11745669—41no—
653#11745669—41no—
654#11745669—41no—
655#11745669—41no—
656#11745669—41no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59—21no—
671C4⋊Dic59—21no—
672C4⋊Dic59—21no—
673C4⋊Dic59C2411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
675C4⋊Dic59C2411yescharacteristic
676C4⋊Dic59C2411yescharacteristic
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59—21no—
694C4×Dic59—21no—
695#11745664—41no—
696#11745664—41no—
697#11745664—41no—
698#11745664—41no—
699C2×C59⋊C8—41no—
700C2×C59⋊C8—41no—
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704C2×C59⋊C8C2411yescharacteristic
705C2×C59⋊C8C2411yescharacteristic
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—21no—
714C23×C59—42no—
715C23×C59—42no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59—81no—
720C23×C59—81no—
721C23×C59—81no—
722C23×C59—81no—
723C23×C59—81no—
724C23×C59—81no—
725C23×C59—81no—
726C23×C59C22×D411yescharacteristic
727C23×C59C22×D411yescharacteristic
728C23×C59C22×D411yescharacteristic
729C22×D59—21no—
730C22×D59—21no—
731C22×D59—42no—
732C22×D59—81no—
733C22×D59—81no—
734Q8×C59—21no—
735Q8×C59—21no—
736Q8×C59—41no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—21no—
744D4×C59—21no—
745D4×C59—21no—
746D4×C59—21no—
747D4×C59—41no—
748D4×C59—41no—
749D4×C59—41no—
750D4×C59—42no—
751D4×C59—42no—
752D4×C59—42no—
753D4×C59—81no—
754D4×C59—81no—
755D4×C59—81no—
756D4×C59—81no—
757D4×C59—81no—
758D4×C59—81no—
759D4×C59—81no—
760D4×C59—81no—
761D4×C59—81no—
762D4×C59—81no—
763D4×C59—81no—
764D4×C59—81no—
765D4×C59—81no—
766D4×C59—81no—
767D4×C59—81no—
768D4×C59—81no—
769D4×C59—81no—
770D4×C59—81no—
771D4×C59—81no—
772D4×C59—81no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—41no—
783C2×C4×C59—41no—
784C2×C4×C59—42no—
785C2×C4×C59—81no—
786C2×C4×C59—81no—
787C2×C4×C59—81no—
788C2×C4×C59—81no—
789C2×C4×C59—81no—
790C2×C4×C59—81no—
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C22×D411yescharacteristic
793C2×C4×C59C22×D411yescharacteristic
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C22×D411yescharacteristic
800C2×C4×C59C22×D411yescharacteristic
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C2511yescharacteristic
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—81no—
806C22⋊D59—81no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—21no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—81no—
814D236—21no—
815D236—21no—
816D236—21no—
817D236—42no—
818D236H(5,𝔽2)12yes—
819C4×D59—42no—
820C4×D59—42no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827Dic118—21no—
828Dic118—21no—
829Dic118—21no—
830Dic118—21no—
831Dic118—81no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835C59⋊C8—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62079—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—21no—
848C22×C59—21no—
849C22×C59—21no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—162no—
866C22×C59—162no—
867C22×C59—162no—
868C22×C59—162no—
869C22×C59C23×D411yescharacteristic
870C2×D59—22no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—41no—
875C2×D59—41no—
876C2×D59—162no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—21no—
882C4×C59—21no—
883C4×C59—21no—
884C4×C59—21no—
885C4×C59—21no—
886C4×C59—21no—
887C4×C59—21no—
888C4×C59—41no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59C2×H(5,𝔽2)11yescharacteristic
892C4×C59#58511yescharacteristic
893Dic59—41no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899#3543D5911yescharacteristic, complemented
900#3521—591no—
901#3401—591no—
902#3397—591no—
903#3370—591no—
904#3366—591no—
905#3324—591no—
906#3322—591no—
907#3318—591no—
908#3317—591no—
909#3311—591no—
910#3310—591no—
911#3273—591no—
912#3272—591no—
913#3268—591no—
914#3267—591no—
915#3264—591no—
916#3264—591no—
917#3260—591no—
918#3257—591no—
919#3256—591no—
920#3224—591no—
921#3222—591no—
922#3217—591no—
923#3122—591no—
924#3119—591no—
925#3111—591no—
926#3045—591no—
927#3041—591no—
928#3038—591no—
929#2995—591no—
930C2×C59—41no—
931C2×C59—41no—
932C2×C59—41no—
933C2×C59—81no—
934C2×C59—81no—
935C2×C59—81no—
936C2×C59—81no—
937C2×C59—81no—
938C2×C59#348811yescharacteristic
939C2×C59#358511yescharacteristic
940C2×C59#358511yescharacteristic
941D59—42no—
942D59—81no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×AGL(1,ℤ/8)—591no—
947C2×#135—591no—
948C22×D8—591no—
949#560—21no—
950#560—21no—
951#559C2×D5911yescharacteristic, complemented
952#556—591no—
953#556—591no—
954#554—591no—
955#553—591no—
956#553—1181no—
957#552—591no—
958#552—1181no—
959#551—1181no—
960#551—1181no—
961#550C2×D5911yescharacteristic
962#550C2×D5911yescharacteristic, complemented
963#547—591no—
964#546—21no—
965#546—591no—
966#546—591no—
967#546C2×D5911yescharacteristic
968#546C2×D5911yescharacteristic, complemented
969D42—21no—
970D42C2×D5911yescharacteristic
971D42C2×D5911yescharacteristic
972D42C2×D5911yescharacteristic, complemented
973#542—591no—
974#541—591no—
975#540—21no—
976#540C2×D5911yescharacteristic
977#540C2×D5911yescharacteristic, complemented
978#539—1181no—
979#538—1181no—
980#535—21no—
981#535C2×D5911yescharacteristic
982#535C2×D5911yescharacteristic, complemented
983#534—21no—
984#534—21no—
985C2×#127C2×D5911yescharacteristic, complemented
986#529—591no—
987#529—1181no—
988#529C2×D5911yescharacteristic
989#529C2×D5911yescharacteristic, complemented
990C2×#126—1181no—
991#520—591no—
992#518—591no—
993C4×#41—591no—
994#497—591no—
995#496—591no—
996#496—591no—
997#496—591no—
998#495—591no—
999#492—591no—
1000#490—591no—
1001#490—591no—
1002#490—591no—
1003#489—591no—
1004#488—591no—
1005#486—591no—
1006#485—591no—
1007#482—591no—
1008#482—591no—
1009#482—591no—
1010#481—591no—
1011#480—591no—
1012#479—591no—
1013#479—591no—
1014#479—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#478—591no—
1020#476—591no—
1021#474—591no—
1022#470—591no—
1023#469—591no—
1024#469—591no—
1025#468—591no—
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#468—591no—
1030#466—591no—
1031#465—591no—
1032#465—591no—
1033#465—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#461—591no—
1047#461—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#460—591no—
1054#460—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#459—591no—
1064#452—591no—
1065#452—591no—
1066#452—591no—
1067#452—591no—
1068#450—591no—
1069#450—591no—
1070#450—591no—
1071#450—591no—
1072#450—591no—
1073#449—591no—
1074#449—591no—
1075#449—591no—
1076#449—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#447—591no—
1082#446—591no—
1083#446—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442—591no—
1088#441—591no—
1089#440—591no—
1090#440—591no—
1091#440—591no—
1092C4×SD16—591no—
1093C4×D8—591no—
1094C4×D8—591no—
1095C4×D8—591no—
1096#436—591no—
1097#436—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#435—591no—
1102#433—591no—
1103#433—591no—
1104#432—591no—
1105#424—591no—
1106#424—591no—
1107#423—591no—
1108#418—591no—
1109#418—591no—
1110#418—591no—
1111#417—591no—
1112#416—591no—
1113C2×#102—591no—
1114C59#6207911yescharacteristic, complemented, Sylow
1115C2×#41—21no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41C22×D5911yescharacteristic
1119C2×#41C22×D5911yescharacteristic
1120C22×D4—21no—
1121C22×D4—21no—
1122C22×D4—21no—
1123C22×D4—21no—
1124C22×D4—21no—
1125C22×D4—591no—
1126C22×D4C22×D5911yescharacteristic
1127C22×D4C22×D5911yescharacteristic
1128C22×D4C22×D5911yescharacteristic
1129C22×D4C22×D5911yescharacteristic
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133AGL(1,ℤ/8)—2362no—
1134#135—2362no—
1135C2×Q16—591no—
1136C2×Q16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—591no—
1145C2×SD16—591no—
1146C2×SD16—591no—
1147C2×SD16—591no—
1148C2×SD16—591no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—591no—
1158C2×D8—591no—
1159C2×D8—2362no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C2×M16—591no—
1164C22×C8—591no—
1165C22×C8—591no—
1166C4⋊Q8—591no—
1167C4⋊Q8—591no—
1168#127—21no—
1169#127—21no—
1170#127—21no—
1171#127C22×D5911yescharacteristic
1172#127C22×D5911yescharacteristic
1173#127C22×D5911yescharacteristic
1174#127C22×D5911yescharacteristic
1175#127C22×D5911yescharacteristic
1176#127C22×D5911yescharacteristic
1177#126—21no—
1178#126—1181no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#126—1181no—
1186#126—1181no—
1187#126—1181no—
1188#126C22⋊D5911yescharacteristic
1189#126C22⋊D5911yescharacteristic
1190#125—591no—
1191#125—591no—
1192#125—1181no—
1193#125—1181no—
1194#125—1181no—
1195#125C22⋊D5911yescharacteristic
1196#125C22×D5911yescharacteristic
1197#124—21no—
1198#124—591no—
1199#124—591no—
1200#124—1181no—
1201#124—1181no—
1202#124C22⋊D5911yescharacteristic
1203#124C22×D5911yescharacteristic
1204#124C22×D5911yescharacteristic
1205#124C22×D5911yescharacteristic
1206#123—21no—
1207#123—21no—
1208#123—21no—
1209#123—21no—
1210#123—21no—
1211#123—21no—
1212#123—21no—
1213#123—21no—
1214#123—21no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123C22⋊D5911yescharacteristic
1224#123C22⋊D5911yescharacteristic
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8C22⋊D5911yescharacteristic
1235C22⋊Q8C22×D5911yescharacteristic
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121—21no—
1245#121—21no—
1246#121—21no—
1247#121—21no—
1248#121—21no—
1249#121—21no—
1250#121—21no—
1251#121—21no—
1252#121—21no—
1253#121—21no—
1254#121—591no—
1255#121—591no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121C22⋊D5911yescharacteristic
1261#121C22×D5911yescharacteristic
1262#121C22×D5911yescharacteristic
1263#121C22×D5911yescharacteristic
1264#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
1266#120—21no—
1267#120—21no—
1268#120—21no—
1269#120—21no—
1270#120—21no—
1271#120—21no—
1272#120—21no—
1273#120—21no—
1274#120—21no—
1275#120—21no—
1276#120—21no—
1277#120—21no—
1278#120—1181no—
1279#120—1181no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—1181no—
1285C4×Q8C22×D5911yescharacteristic
1286C4×Q8C22×D5911yescharacteristic
1287C4×D4—21no—
1288C4×D4—21no—
1289C4×D4—21no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4C22×D5911yescharacteristic
1305C4×D4C22×D5911yescharacteristic
1306C4×D4C22×D5911yescharacteristic
1307C4×D4C22×D5911yescharacteristic
1308C4×D4C22×D5911yescharacteristic
1309C4×D4C22×D5911yescharacteristic
1310C4×D4C22×D5911yescharacteristic
1311C4×D4C22×D5911yescharacteristic
1312#117—21no—
1313#117—591no—
1314#117—591no—
1315#117—1181no—
1316#117—1181no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320#117C22×D5911yescharacteristic
1321#117C22×D5911yescharacteristic
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—1181no—
1324C2×C4⋊C4—1181no—
1325C2×C4⋊C4—1181no—
1326C2×C22⋊C4—21no—
1327C2×C22⋊C4—21no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42—1181no—
1333C2×C42C22×D5911yescharacteristic
1334#107—591no—
1335#107—591no—
1336#107—591no—
1337#107—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341#106—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
1350C4⋊C8—591no—
1351C4⋊C8—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389C22⋊C8—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393#97—591no—
1394C4×C8—591no—
1395C4×C8—591no—
1396C24—21no—
1397C24—21no—
1398C24—21no—
1399C24—21no—
1400C24—1181no—
1401#41—41no—
1402#41—41no—
1403#41—41no—
1404#41—41no—
1405#41—82no—
1406#41—1182no—
1407#41—1182no—
1408#41—2361no—
1409#41—2361no—
1410C2×Q8—591no—
1411C2×Q8—591no—
1412C2×Q8—1181no—
1413C2×Q8C2×C22⋊D5911yescharacteristic
1414C2×Q8C23×D5911yescharacteristic
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—41no—
1439C2×D4—41no—
1440C2×D4—41no—
1441C2×D4—41no—
1442C2×D4—41no—
1443C2×D4—41no—
1444C2×D4—41no—
1445C2×D4—41no—
1446C2×D4—82no—
1447C2×D4—82no—
1448C2×D4—82no—
1449C2×D4—82no—
1450C2×D4—82no—
1451C2×D4—591no—
1452C2×D4—591no—
1453C2×D4—1182no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—1181no—
1459C2×D4—2361no—
1460C2×D4C2×C22⋊D5911yescharacteristic
1461C2×D4C2×C22⋊D5911yescharacteristic
1462C2×D4C2×C22⋊D5911yescharacteristic
1463C2×D4C23×D5911yescharacteristic
1464C2×D4C23×D5911yescharacteristic
1465C2×D4C23×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4C2×C22⋊D5911yescharacteristic
1485C22×C4C2×C22⋊D5911yescharacteristic
1486C22×C4C23×D5911yescharacteristic
1487C22×C4C23×D5911yescharacteristic
1488C22×C4C23×D5911yescharacteristic
1489Q16—2361no—
1490Q16—2361no—
1491SD16—1182no—
1492SD16—2361no—
1493SD16—2361no—
1494SD16—2361no—
1495SD16—2361no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503D8—1182no—
1504D8—1182no—
1505D8—1182no—
1506D8—1182no—
1507D8—1182no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513M16—2361no—
1514M16—2361no—
1515M16—2361no—
1516M16—2361no—
1517C2×C8—591no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—591no—
1523C2×C8—591no—
1524C2×C8—591no—
1525C2×C8—2361no—
1526C2×C8—2361no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—591no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4C2×C22⋊D5911yescharacteristic
1552C4⋊C4C2×C22⋊D5911yescharacteristic
1553C4⋊C4C2×C22⋊D5911yescharacteristic
1554C4⋊C4C2×C22⋊D5911yescharacteristic
1555C4⋊C4C2×C22⋊D5911yescharacteristic
1556C4⋊C4C2×C22⋊D5911yescharacteristic
1557C4⋊C4C2×C22⋊D5911yescharacteristic
1558C4⋊C4C2×C22⋊D5911yescharacteristic
1559C4⋊C4C2×C22⋊D5911yescharacteristic
1560C4⋊C4C2×C22⋊D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C4⋊C4C23×D5911yescharacteristic
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4C2×C22⋊D5911yescharacteristic
1599C22⋊C4C2×C22⋊D5911yescharacteristic
1600C22⋊C4C2×C22⋊D5911yescharacteristic
1601C22⋊C4C2×C22⋊D5911yescharacteristic
1602C22⋊C4C2×C22⋊D5911yescharacteristic
1603C22⋊C4C2×C22⋊D5911yescharacteristic
1604C22⋊C4C2×C22⋊D5911yescharacteristic
1605C22⋊C4C2×C22⋊D5911yescharacteristic
1606C22⋊C4C2×C22⋊D5911yescharacteristic
1607C22⋊C4C2×C22⋊D5911yescharacteristic
1608C42—21no—
1609C42—1181no—
1610C42—1181no—
1611C42—1181no—
1612C42—1181no—
1613C42—1181no—
1614C42—1181no—
1615C42C2×C22⋊D5911yescharacteristic
1616C42C2×C22⋊D5911yescharacteristic
1617C42C23×D5911yescharacteristic
1618C42C23×D5911yescharacteristic
1619C42C23×D5911yescharacteristic
1620C42C23×D5911yescharacteristic
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—42no—
1627C23—42no—
1628C23—81no—
1629C23—81no—
1630C23—81no—
1631C23—81no—
1632C23—81no—
1633C23—81no—
1634C23—81no—
1635C23—81no—
1636C23—81no—
1637C23—81no—
1638C23—1181no—
1639C23—1181no—
1640C23—4721no—
1641C23—4721no—
1642C23—2362no—
1643C23C22×C22⋊D5911yescharacteristic
1644C23C22×C22⋊D5911yescharacteristic
1645C23C22×C22⋊D5911yescharacteristic
1646Q8—21no—
1647Q8—21no—
1648Q8—41no—
1649Q8—1181no—
1650Q8—1181no—
1651Q8—1181no—
1652Q8—1181no—
1653Q8—4721no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—21no—
1663D4—21no—
1664D4—41no—
1665D4—41no—
1666D4—41no—
1667D4—42no—
1668D4—42no—
1669D4—42no—
1670D4—81no—
1671D4—81no—
1672D4—81no—
1673D4—81no—
1674D4—81no—
1675D4—81no—
1676D4—81no—
1677D4—81no—
1678D4—81no—
1679D4—81no—
1680D4—81no—
1681D4—81no—
1682D4—81no—
1683D4—81no—
1684D4—81no—
1685D4—81no—
1686D4—81no—
1687D4—81no—
1688D4—81no—
1689D4—81no—
1690D4—592no—
1691D4—1181no—
1692D4—1181no—
1693D4—1181no—
1694D4—4721no—
1695D4—4721no—
1696D4—2362no—
1697D4—2362no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—42no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—81no—
1714C2×C4—81no—
1715C2×C4—81no—
1716C2×C4—81no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—2362no—
1731C2×C4—2362no—
1732C2×C4C22×C22⋊D5911yescharacteristic
1733C2×C4C22×C22⋊D5911yescharacteristic
1734C2×C4C22×C22⋊D5911yescharacteristic
1735C2×C4C22×C22⋊D5911yescharacteristic
1736C2×C4C22×C22⋊D5911yescharacteristic
1737C2×C4C22×C22⋊D5911yescharacteristic
1738C2×C4C22×C22⋊D5911yescharacteristic
1739C2×C4C22×C22⋊D5911yescharacteristic
1740C2×C4C22×C22⋊D5911yescharacteristic
1741C2×C4C22×C22⋊D5911yescharacteristic
1742C2×C4C22×C22⋊D5911yescharacteristic
1743C2×C4C24×D5911yescharacteristic
1744C8—1181no—
1745C8—1181no—
1746C8—1181no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C8—1181no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—21no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—162no—
1777C22—162no—
1778C22—162no—
1779C22—162no—
1780C22—1182no—
1781C22—9442no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22C23×C22⋊D5911yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—21no—
1795C4—21no—
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4H(5,𝔽2)×D5911yescharacteristic
1809C4#1683823711yescharacteristic
1810C2—41no—
1811C2—41no—
1812C2—41no—
1813C2—81no—
1814C2—81no—
1815C2—81no—
1816C2—81no—
1817C2—81no—
1818C2—4721no—
1819C2—2362no—
1820C2#2143775811yescharacteristic
1821C2#2143887611yescharacteristic
1822C2#2143887611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3543C2
socleC22×C59C23×D4
hypercenter#3543D59
hypocenterC59#62079
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #3543

Complements

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

NH ≅ G/Ntype
1. #21438168C2semidirect
2. #21437156C2semidirect
3. #21437112C2semidirect
4. #21436843C2semidirect
5. #21436799C2semidirect
6. #21436327C2semidirect
7. #21436297C2semidirect
8. #21436237C2semidirect
9. #21436222C2semidirect
10. #21436132C2semidirect
11. #21436117C2semidirect
12. #21435703C2semidirect
13. #21435692C2semidirect
14. #21435637C2semidirect
15. #21435617C2semidirect
16. #21435572C2semidirect
17. #21435572C2semidirect
18. #21435542C2semidirect
19. #21435501C2semidirect
20. #21435492C2semidirect
21. #21435190C2semidirect
22. #21435168C2semidirect
23. #21435114C2semidirect
24. #21434334C2semidirect
25. #21434289C2semidirect
26. #21434199C2semidirect
27. #21433631C2semidirect
28. #21433595C2semidirect
29. #21433572C2semidirect
30. #21433266C2semidirect
31. C59×#3543C2semidirect
32. C2×#14273753C22semidirect
33. C2×#14273753C22semidirect
34. C2×#14273753C22semidirect
35. C2×#14273752C22semidirect
36. C2×#14273747C22semidirect
37. C22×#11745669C22semidirect
38. #16838125C22semidirect
39. #16838122C22semidirect
40. #16838112C22semidirect
41. #16838098C22semidirect
43. #16838092C22semidirect
47. #16838057C22semidirect
48. #16838048C22semidirect
49. #16838048C22semidirect
50. #16838023C22semidirect
51. #16838014C22semidirect
54. #16837936C22semidirect
57. #16837882C22semidirect
58. #16837876C22semidirect
59. C4×#11745685C22semidirect
60. #16837797C22semidirect
62. #16837789C22semidirect
63. #16837789C22semidirect
64. #16837784C22semidirect
65. #16837774C22semidirect
66. #16837766C22semidirect
67. #16837766C22semidirect
68. #16837766C22semidirect
69. #16837761C22semidirect
70. #16837756C22semidirect
71. #16837748C22semidirect
72. #16837740C22semidirect
73. #16837723C22semidirect
74. #16837723C22semidirect
75. #16837723C22semidirect
76. #16837718C22semidirect
77. #16837713C22semidirect
78. #16837709C22semidirect
79. #16837706C22semidirect
80. #16837706C22semidirect
81. #16837702C22semidirect
82. #16837702C22semidirect
83. #16837702C22semidirect
84. #16837699C22semidirect
85. #16837699C22semidirect
86. #16837692C22semidirect
87. #16837682C22semidirect
88. #16837658C22semidirect
90. #16837653C22semidirect
91. #16837650C22semidirect
92. #16837646C22semidirect
93. #16837646C22semidirect
94. #16837646C22semidirect
95. #16837646C22semidirect
96. #16837636C22semidirect
97. #16837629C22semidirect
98. #16837629C22semidirect
99. #16837629C22semidirect
100. #16837624C22semidirect
101. #16837621C22semidirect
102. #16837621C22semidirect
103. #16837621C22semidirect
104. #16837617C22semidirect
105. #16837617C22semidirect
106. #16837617C22semidirect
107. #16837614C22semidirect
108. #16837614C22semidirect
109. #16837614C22semidirect
110. #16837614C22semidirect
111. #16837614C22semidirect
112. #16837607C22semidirect
113. #16837607C22semidirect
114. #16837599C22semidirect
115. #16837599C22semidirect
116. #16837599C22semidirect
117. #16837599C22semidirect
118. #16837599C22semidirect
119. #16837599C22semidirect
120. #16837599C22semidirect
122. #16837594C22semidirect
123. #16837594C22semidirect
124. #16837594C22semidirect
125. #16837594C22semidirect
126. #16837594C22semidirect
127. #16837594C22semidirect
128. #16837594C22semidirect
129. #16837594C22semidirect
130. #16837564C22semidirect
131. #16837564C22semidirect
132. #16837564C22semidirect
133. #16837562C22semidirect
134. #16837553C22semidirect
135. #16837553C22semidirect
136. #16837553C22semidirect
137. #16837553C22semidirect
138. #16837553C22semidirect
139. #16837547C22semidirect
141. #16837545C22semidirect
142. #16837545C22semidirect
143. #16837536C22semidirect
144. #16837536C22semidirect
145. #16837536C22semidirect
146. #16837535C22semidirect
147. #16837535C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
150. #16837512C22semidirect
151. #16837512C22semidirect
152. #16837512C22semidirect
153. #16837512C22semidirect
154. #16837507C22semidirect
155. #16837502C22semidirect
156. #16837502C22semidirect
157. #16837500C22semidirect
158. C4×#11745670C22semidirect
159. C4×#11745669C22semidirect
160. C4×#11745669C22semidirect
161. C4×#11745669C22semidirect
162. #16837480C22semidirect
163. #16837480C22semidirect
164. #16837474C22semidirect
165. #16837474C22semidirect
166. #16837474C22semidirect
167. #16837474C22semidirect
168. #16837463C22semidirect
169. #16837463C22semidirect
170. #16837459C22semidirect
171. #16837429C22semidirect
172. #16837429C22semidirect
173. #16837426C22semidirect
174. #16837407C22semidirect
175. #16837407C22semidirect
176. #16837407C22semidirect
177. #16837403C22semidirect
178. #16837398C22semidirect
179. C2×#14273648C22semidirect
182. C59×#559C22semidirect
184. C59×#550C22semidirect
187. C59×#546C22semidirect
191. D42×C59C22semidirect
194. C59×#540C22semidirect
197. C59×#535C22semidirect
200. C2×#127×C59C22semidirect
202. C59×#529C22semidirect
899. #3543D59semidirect
951. #559C2×D59semidirect
962. #550C2×D59semidirect
968. #546C2×D59semidirect
972. D42C2×D59semidirect
977. #540C2×D59semidirect
982. #535C2×D59semidirect
985. C2×#127C2×D59semidirect
989. #529C2×D59semidirect
1114. C59#62079semidirect

Maximal subgroups

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

subgroupindex
#214381682
#214371562
#214371122
#214368432
#214367992
#214363272
#214362972
#214362372
#214362222
#214361322
#214361172
#214357032
#214356922
#214356372
#214356172
#214355722
#214355422
#214355012
#214354922
#214351902
#214351682
#214351142
#214343342
#214342892
#214341992
#214336312
#214335952
#214335722
#214332662
C59×#35432
#6207959