Finite Group Databasebeta

← #29483871

Subgroups — #29483871

Order 15104.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438541C211yesmaximal, characteristic, complemented
2#21437171C211yesmaximal, characteristic, complemented
3#21437127C211yesmaximal, characteristic, complemented
4#21436923C211yesmaximal, characteristic, complemented
5#21436877C211yesmaximal, characteristic, complemented
6#21436373C211yesmaximal, characteristic, complemented
7#21436343C211yesmaximal, characteristic, complemented
8#21436261C211yesmaximal, characteristic, complemented
9#21436186C211yesmaximal, characteristic, complemented
10#21436156C211yesmaximal, characteristic, complemented
11#21436141C211yesmaximal, characteristic, complemented
12#21435738C211yesmaximal, characteristic, complemented
13#21435723C211yesmaximal, characteristic, complemented
14#21435647C211yesmaximal, characteristic, complemented
15#21435617C211yesmaximal, characteristic, complemented
16#21435602C211yesmaximal, characteristic, complemented
17#21435602C211yesmaximal, characteristic, complemented
18#21435546C211yesmaximal, characteristic, complemented
19#21435522C211yesmaximal, characteristic, complemented
20#21435492C211yesmaximal, characteristic, complemented
21#21435199C211yesmaximal, characteristic, complemented
22#21435173C211yesmaximal, characteristic, complemented
23#21435120C211yesmaximal, characteristic, complemented
24#21434348C211yesmaximal, characteristic, complemented
25#21434310C211yesmaximal, characteristic, complemented
26#21434205C211yesmaximal, characteristic, complemented
27#21433646C211yesmaximal, characteristic, complemented
28#21433608C211yesmaximal, characteristic, complemented
29#21433583C211yesmaximal, characteristic, complemented
30#21433266C211yesmaximal, characteristic, complemented
31C59×#3521C211yesmaximal, characteristic, complemented
32C2×#14273757C2211yescharacteristic
33C2×#14273757C2211yescharacteristic
34C2×#14273757C2211yescharacteristic
35C2×#14273753C2211yescharacteristic
36C2×#14273747C2211yescharacteristic
37C22×#11745670C2211yescharacteristic
38#16838154—21no—
39#16838154—21no—
40#16838131C2211yescharacteristic, complemented
41#16838125C2211yescharacteristic, complemented
42#16838110—21no—
43#16838104—21no—
44D4×Dic118C2211yescharacteristic
45D4×Dic118C2211yescharacteristic
46D4×Dic118C2211yescharacteristic, complemented
47#16838061C2211yescharacteristic
48#16838061C2211yescharacteristic, complemented
49#16838057C2211yescharacteristic
50#16838032—21no—
51#16838021—21no—
52#16838014C2211yescharacteristic
53#16838014C2211yescharacteristic, complemented
54#16837996—21no—
55#16837996—21no—
56#16837978C2211yescharacteristic
57#16837978C2211yescharacteristic, complemented
58C2×#14273727C2211yescharacteristic, complemented
59#16837936C2211yescharacteristic, complemented
60#16837797C2211yescharacteristic
61#16837797C2211yescharacteristic
62#16837797C2211yescharacteristic
63#16837794C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic
65#16837781C2211yescharacteristic, complemented
66#16837772C2211yescharacteristic, complemented
67#16837772C2211yescharacteristic, complemented
68#16837772C2211yescharacteristic, complemented
69#16837764C2211yescharacteristic, complemented
70#16837759C2211yescharacteristic, complemented
71#16837754C2211yescharacteristic, complemented
72#16837743C2211yescharacteristic
73#16837743C2211yescharacteristic
74#16837743C2211yescharacteristic, complemented
75#16837737C2211yescharacteristic, complemented
76#16837732C2211yescharacteristic, complemented
77#16837726C2211yescharacteristic, complemented
78#16837709C2211yescharacteristic, complemented
79#16837709C2211yescharacteristic, complemented
80#16837706C2211yescharacteristic, complemented
81#16837706C2211yescharacteristic, complemented
82#16837706C2211yescharacteristic, complemented
83#16837702C2211yescharacteristic
84#16837702C2211yescharacteristic
85#16837699C2211yescharacteristic, complemented
86#16837694C2211yescharacteristic, complemented
87#16837684C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic
89#16837658C2211yescharacteristic
90#16837658C2211yescharacteristic, complemented
91#16837658C2211yescharacteristic, complemented
92#16837653C2211yescharacteristic
93#16837650C2211yescharacteristic, complemented
94#16837646C2211yescharacteristic
95#16837646C2211yescharacteristic
96#16837641C2211yescharacteristic
97#16837641C2211yescharacteristic
98#16837641C2211yescharacteristic, complemented
99#16837629C2211yescharacteristic
100#16837624C2211yescharacteristic, complemented
101#16837624C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837621C2211yescharacteristic
104#16837621C2211yescharacteristic
105#16837621C2211yescharacteristic
106#16837617C2211yescharacteristic
107#16837617C2211yescharacteristic
108#16837617C2211yescharacteristic
109#16837617C2211yescharacteristic
110#16837617C2211yescharacteristic
111#16837614C2211yescharacteristic
112#16837612C2211yescharacteristic, complemented
113#16837612C2211yescharacteristic, complemented
114#16837612C2211yescharacteristic, complemented
115#16837612C2211yescharacteristic, complemented
116#16837612C2211yescharacteristic, complemented
117#16837612C2211yescharacteristic, complemented
118#16837612C2211yescharacteristic, complemented
119#16837609C2211yescharacteristic, complemented
120#16837609C2211yescharacteristic, complemented
121#16837607C2211yescharacteristic
122#16837607C2211yescharacteristic
123#16837607C2211yescharacteristic
124#16837607C2211yescharacteristic
125#16837607C2211yescharacteristic
126#16837607C2211yescharacteristic
127#16837607C2211yescharacteristic
128#16837607C2211yescharacteristic
129#16837607C2211yescharacteristic
130#16837564C2211yescharacteristic
131#16837564C2211yescharacteristic
132#16837564C2211yescharacteristic
133#16837562C2211yescharacteristic
134#16837562C2211yescharacteristic
135#16837562C2211yescharacteristic, complemented
136#16837557C2211yescharacteristic
137#16837557C2211yescharacteristic
138#16837557C2211yescharacteristic, complemented
139#16837557C2211yescharacteristic, complemented
140#16837557C2211yescharacteristic, complemented
141#16837553C2211yescharacteristic
142#16837553C2211yescharacteristic
143#16837547C2211yescharacteristic
144#16837545C2211yescharacteristic
145#16837540C2211yescharacteristic
146#16837540C2211yescharacteristic
147#16837540C2211yescharacteristic
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic
151#16837507C2211yescharacteristic, complemented
152#16837507C2211yescharacteristic, complemented
153#16837502C2211yescharacteristic
154#16837502C2211yescharacteristic
155#16837502C2211yescharacteristic
156#16837502C2211yescharacteristic
157#16837500C2211yescharacteristic, complemented
158C4×#11745672C2211yescharacteristic, complemented
159C4×#11745670C2211yescharacteristic
160C4×#11745670C2211yescharacteristic
161C4×#11745670C2211yescharacteristic
162#16837480C2211yescharacteristic
163#16837480C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic
165#16837474C2211yescharacteristic
166#16837474C2211yescharacteristic
167#16837474C2211yescharacteristic, complemented
168#16837463C2211yescharacteristic
169#16837463C2211yescharacteristic, complemented
170#16837459C2211yescharacteristic, complemented
171#16837429C2211yescharacteristic
172#16837429C2211yescharacteristic, complemented
173#16837426C2211yescharacteristic, complemented
174#16837410C2211yescharacteristic
175#16837410C2211yescharacteristic, complemented
176#16837410C2211yescharacteristic, complemented
177#16837401C2211yescharacteristic, complemented
178#16837396C2211yescharacteristic
179C2×#14273650C2211yescharacteristic, complemented
180C59×#556C2211yescharacteristic
181C59×#556C2211yescharacteristic
182C59×#554C2211yescharacteristic
183C59×#553—21no—
184C59×#553C2211yescharacteristic
185C59×#552—21no—
186C59×#552C2211yescharacteristic
187C59×#551—21no—
188C59×#551—21no—
189C59×#547C2211yescharacteristic
190C59×#546C2211yescharacteristic
191C59×#546C2211yescharacteristic
192C59×#542C2211yescharacteristic
193C59×#541C2211yescharacteristic
194C59×#539—21no—
195C59×#538—21no—
196C59×#529—21no—
197C59×#529C2211yescharacteristic
198C59×#529C2211yescharacteristic
199C2×#126×C59—21no—
200C59×#520C2211yescharacteristic
201C59×#518C2211yescharacteristic
202C4×#41×C59C2211yescharacteristic
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C22×Dic118C2311yescharacteristic
206C22×Dic118C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C22×Dic118C2311yescharacteristic
209#14273757—42no—
210#14273757—42no—
211#14273757—42no—
212#14273753—42no—
213#14273747—42no—
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745672C2311yescharacteristic
223C2×#11745672C2311yescharacteristic
224C2×#11745670—42no—
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C22×C59⋊C8C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245#14273727—21no—
246#14273727—21no—
247#14273727C2311yescharacteristic
248#14273727C2311yescharacteristic
249#14273727C2311yescharacteristic
250#14273727C2311yescharacteristic
251#14273727C2311yescharacteristic
252#14273727C2311yescharacteristic
253#14273726—21no—
254#14273726—21no—
255#14273726—21no—
256#14273722—21no—
257#14273722—21no—
258#14273721—21no—
259#14273720—21no—
260#14273720—21no—
261#14273720—21no—
262#14273720—21no—
263#14273719C2311yescharacteristic
264#14273718—21no—
265#14273718—21no—
266#14273718—21no—
267#14273717—21no—
268#14273717—21no—
269#14273717—21no—
270#14273717—21no—
271#14273715C2311yescharacteristic
272#14273715C2311yescharacteristic
273#14273715C2311yescharacteristic
274#14273713—21no—
275#14273713—21no—
276#14273711—21no—
277#14273711—21no—
278#14273711—21no—
279#14273711—21no—
280#14273710—21no—
281#14273709—21no—
282#14273709—21no—
283#14273707—21no—
284#14273707—21no—
285#14273707—21no—
286#14273707—21no—
287#14273706C2311yescharacteristic
288#14273706C2311yescharacteristic
289#14273706C2311yescharacteristic
290#14273706C2311yescharacteristic
291#14273706C2311yescharacteristic
292#14273705—21no—
293#14273705—21no—
294#14273704—21no—
295#14273704—21no—
296#14273704—21no—
297#14273704—21no—
298#14273704—21no—
299#14273704—21no—
300#14273703—21no—
301#14273701C2311yescharacteristic
302#14273699—21no—
303#14273699—21no—
304#14273698—21no—
305Q8×Dic59—21no—
306C4×Dic118C2311yescharacteristic
307C4×Dic118C2311yescharacteristic
308C4×Dic118C2311yescharacteristic
309C4×Dic118C2311yescharacteristic
310C4×Dic118C2311yescharacteristic
311C4×D236C2311yescharacteristic
312D4×Dic59—21no—
313D4×Dic59—21no—
314D4×Dic59—21no—
315C4×C22⋊D59—21no—
316(C22⋊D59)⋊C4—21no—
317(C22⋊D59)⋊C4—21no—
318#14273685—21no—
319#14273684—21no—
320C2×C4⋊Dic59—21no—
321C2×C4⋊Dic59—21no—
322C4⋊C4×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#14273650C2311yescharacteristic
350#14273650C2311yescharacteristic
351#14273650C2311yescharacteristic
352#14273650C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273650C2311yescharacteristic
355#14273650C2311yescharacteristic
356#14273650C2311yescharacteristic
357#14273650C2311yescharacteristic
358#14273650C2311yescharacteristic
359#14273650C2311yescharacteristic
360#14273650C2311yescharacteristic
361#14273650C2311yescharacteristic
362#14273650C2311yescharacteristic
363#14273650C2311yescharacteristic
364#14273650C2311yescharacteristic
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×C59C2311yescharacteristic
386C2×#41×C59C2311yescharacteristic
387C22×D4×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×C59—21no—
399#126×C59—21no—
400#126×C59D411yescharacteristic
401#126×C59D411yescharacteristic
402#125×C59—21no—
403#125×C59—21no—
404#125×C59—21no—
405#125×C59D411yescharacteristic
406#125×C59C2311yescharacteristic
407#125×C59C2311yescharacteristic
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×C59—21no—
416#123×C59—21no—
417#123×C59—21no—
418#123×C59—21no—
419#123×C59—21no—
420#123×C59—21no—
421#123×C59D411yescharacteristic
422#123×C59D411yescharacteristic
423C22⋊Q8×C59—21no—
424C22⋊Q8×C59—21no—
425C22⋊Q8×C59—21no—
426C22⋊Q8×C59—21no—
427C22⋊Q8×C59—21no—
428C22⋊Q8×C59D411yescharacteristic
429C22⋊Q8×C59C2311yescharacteristic
430C22⋊Q8×C59C2311yescharacteristic
431C22⋊Q8×C59C2311yescharacteristic
432C22⋊Q8×C59C2311yescharacteristic
433#121×C59—21no—
434#121×C59—21no—
435#121×C59—21no—
436#121×C59—21no—
437#121×C59D411yescharacteristic
438#121×C59C2311yescharacteristic
439#121×C59C2311yescharacteristic
440#120×C59—21no—
441#120×C59—21no—
442C4×Q8×C59—21no—
443C4×Q8×C59C2311yescharacteristic
444C4×Q8×C59C2311yescharacteristic
445C4×Q8×C59C2311yescharacteristic
446C4×Q8×C59C2311yescharacteristic
447C4×Q8×C59C2311yescharacteristic
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×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465#117×C59—21no—
466#117×C59—21no—
467#117×C59—21no—
468#117×C59—21no—
469#117×C59—21no—
470#117×C59C2311yescharacteristic
471#117×C59C2311yescharacteristic
472#117×C59C2311yescharacteristic
473#117×C59C2311yescharacteristic
474C2×C4⋊C4×C59—21no—
475C2×C4⋊C4×C59—21no—
476C2×C4⋊C4×C59—21no—
477C2×C4⋊C4×C59C2311yescharacteristic
478C2×C22⋊C4×C59—21no—
479C2×C22⋊C4×C59—21no—
480C2×C22⋊C4×C59—21no—
481C2×C22⋊C4×C59—21no—
482C2×C42×C59—21no—
483C2×C42×C59C2311yescharacteristic
484C24×C59—21no—
485#41×C59—22no—
486#41×C59—22no—
487#41×C59—41no—
488#41×C59—41no—
489C2×Q8×C59—21no—
490C2×Q8×C59C2×D411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—22no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—41no—
500C2×D4×C59C2×D411yescharacteristic
501C2×D4×C59C2×D411yescharacteristic
502C2×D4×C59C2×D411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59C2×D411yescharacteristic
515C22×C4×C59C2×D411yescharacteristic
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526#11745685—41no—
527#11745685—41no—
528#11745685—41no—
529#11745685—41no—
530C2×D236C2411yescharacteristic
531C2×C4×D59—21no—
532C2×C4×D59—21no—
533C2×C4×D59—21no—
534C2×Dic118—21no—
535C2×Dic118—21no—
536C2×Dic118—21no—
537C2×Dic118—21no—
538C2×Dic118—41no—
539C2×Dic118—41no—
540C2×Dic118—41no—
541C2×Dic118—41no—
542C2×Dic118—41no—
543C2×Dic118—41no—
544C2×Dic118—41no—
545C2×Dic118—41no—
546C2×Dic118C2411yescharacteristic
547C2×Dic118C2411yescharacteristic
548C2×Dic118C2411yescharacteristic
549C2×Dic118C2411yescharacteristic
550C2×Dic118C2411yescharacteristic
551C4⋊C4×C59—21no—
552C4⋊C4×C59—21no—
553C4⋊C4×C59—21no—
554C4⋊C4×C59—21no—
555C4⋊C4×C59—21no—
556C4⋊C4×C59—21no—
557C4⋊C4×C59—21no—
558C4⋊C4×C59—21no—
559C4⋊C4×C59—21no—
560C4⋊C4×C59—21no—
561C4⋊C4×C59—21no—
562C4⋊C4×C59—21no—
563C4⋊C4×C59—21no—
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59C2×D411yescharacteristic
568C4⋊C4×C59C2×D411yescharacteristic
569C4⋊C4×C59C2×D411yescharacteristic
570C4⋊C4×C59C2×D411yescharacteristic
571C4⋊C4×C59C2×D411yescharacteristic
572C4⋊C4×C59C2×D411yescharacteristic
573C4⋊C4×C59C2×D411yescharacteristic
574C4⋊C4×C59C2×D411yescharacteristic
575C4⋊C4×C59C2×D411yescharacteristic
576C4⋊C4×C59C2×D411yescharacteristic
577C4⋊C4×C59C2411yescharacteristic
578C4⋊C4×C59C2411yescharacteristic
579C4⋊C4×C59C2411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×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×C59C2×D411yescharacteristic
600C22⋊C4×C59C2×D411yescharacteristic
601C22⋊C4×C59C2×D411yescharacteristic
602C22⋊C4×C59C2×D411yescharacteristic
603C22⋊C4×C59C2×D411yescharacteristic
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C22⋊C4×C59C2×D411yescharacteristic
607C22⋊C4×C59C2×D411yescharacteristic
608C22⋊C4×C59C2×D411yescharacteristic
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×C59C2411yescharacteristic
618C42×C59C2411yescharacteristic
619C42×C59C2411yescharacteristic
620C42×C59C2411yescharacteristic
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626#11745672—41no—
627#11745672—41no—
628#11745672—41no—
629#11745672—41no—
630#11745672—41no—
631#11745672—41no—
632#11745672—41no—
633#11745672—41no—
634#11745672—41no—
635#11745672—41no—
636#11745671—41no—
637#11745671—41no—
638#11745670—22no—
639#11745670—22no—
640#11745670—22no—
641#11745670—22no—
642#11745670—22no—
643#11745670—41no—
644#11745670—41no—
645#11745670—41no—
646#11745670—41no—
647#11745670—41no—
648#11745669—22no—
649#11745669—41no—
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—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59—21no—
668C4⋊Dic59—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689#11745664—41no—
690#11745664—41no—
691#11745664—41no—
692#11745664—41no—
693C2×C59⋊C8—41no—
694C2×C59⋊C8—41no—
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C23×C59—21no—
704C23×C59—21no—
705C23×C59—42no—
706C23×C59—81no—
707C23×C59—81no—
708C23×C59C22×D411yescharacteristic
709C23×C59C22×D411yescharacteristic
710C23×C59C22×D411yescharacteristic
711C22×D59—21no—
712Q8×C59—21no—
713Q8×C59—21no—
714Q8×C59—21no—
715Q8×C59—21no—
716Q8×C59—41no—
717Q8×C59—81no—
718D4×C59—21no—
719D4×C59—21no—
720D4×C59—21no—
721D4×C59—41no—
722D4×C59—41no—
723D4×C59—41no—
724D4×C59—42no—
725D4×C59—42no—
726D4×C59—42no—
727D4×C59—81no—
728D4×C59—81no—
729D4×C59H(5,𝔽2)12yes—
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—21no—
742C2×C4×C59—41no—
743C2×C4×C59—41no—
744C2×C4×C59—42no—
745C2×C4×C59—42no—
746C2×C4×C59—81no—
747C2×C4×C59—81no—
748C2×C4×C59—81no—
749C2×C4×C59—81no—
750C2×C4×C59—81no—
751C2×C4×C59—81no—
752C2×C4×C59—81no—
753C2×C4×C59C22×D411yescharacteristic
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×C59C2511yescharacteristic
765C22⋊D59—42no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—81no—
776C2×Dic59—81no—
777C2×Dic59—81no—
778C2×Dic59—81no—
779D236—21no—
780D236—21no—
781C4×D59—42no—
782C4×D59—81no—
783C4×D59—81no—
784Dic118—21no—
785Dic118—21no—
786Dic118—21no—
787Dic118—21no—
788Dic118—21no—
789Dic118—21no—
790Dic118—21no—
791Dic118—21no—
792Dic118—21no—
793Dic118—21no—
794Dic118—81no—
795Dic118—81no—
796Dic118—81no—
797Dic118—81no—
798C59⋊C8—21no—
799C59⋊C8—21no—
800C59⋊C8—21no—
801C59⋊C8—21no—
802C59⋊C8—21no—
803C59⋊C8—21no—
804C59⋊C8—21no—
805C59⋊C8—21no—
806#62080—591nomaximal, Sylow
807C22×C59—21no—
808C22×C59—21no—
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—21no—
813C22×C59—21no—
814C22×C59—21no—
815C22×C59—21no—
816C22×C59—22no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—162no—
823C22×C59C23×D411yescharacteristic
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—41no—
827C4×C59—21no—
828C4×C59—21no—
829C4×C59—21no—
830C4×C59—21no—
831C4×C59—21no—
832C4×C59—21no—
833C4×C59—21no—
834C4×C59—21no—
835C4×C59—21no—
836C4×C59—21no—
837C4×C59—21no—
838C4×C59—41no—
839C4×C59—41no—
840C4×C59—41no—
841C4×C59—41no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59C2×H(5,𝔽2)11yescharacteristic
845C4×C59#58511yescharacteristic
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849Dic59—41no—
850Dic59—41no—
851Dic59—41no—
852Dic59—41no—
853#3552—591no—
854#3521D5911yescharacteristic, complemented
855#3402—591no—
856#3398—591no—
857#3376—591no—
858#3372—591no—
859#3328—591no—
860#3326—591no—
861#3320—591no—
862#3315—591no—
863#3313—591no—
864#3312—591no—
865#3276—591no—
866#3275—591no—
867#3269—591no—
868#3267—591no—
869#3266—591no—
870#3266—591no—
871#3261—591no—
872#3258—591no—
873#3256—591no—
874#3225—591no—
875#3223—591no—
876#3218—591no—
877#3123—591no—
878#3120—591no—
879#3111—591no—
880#3046—591no—
881#3042—591no—
882#3039—591no—
883#2995—591no—
884C2×C59—41no—
885C2×C59—41no—
886C2×C59—41no—
887C2×C59—42no—
888C2×C59—81no—
889C2×C59#348811yescharacteristic
890C2×C59#358611yescharacteristic
891C2×C59#358611yescharacteristic
892D59—81no—
893C2×#137—591no—
894C2×#137—591no—
895C2×#137—591no—
896C2×AGL(1,ℤ/8)—591no—
897C2×#135—591no—
898C22×SD16—591no—
899#563—1181no—
900#563—1181no—
901#557—591no—
902#556—591no—
903#556C2×D5911yescharacteristic
904#556C2×D5911yescharacteristic
905#554—1181no—
906#554C2×D5911yescharacteristic
907#553—21no—
908#553—1181no—
909#553C2×D5911yescharacteristic
910#552—21no—
911#552C2×D5911yescharacteristic
912#551—21no—
913#551—21no—
914D4×Q8—591no—
915D4×Q8—591no—
916D4×Q8—591no—
917#548—591no—
918#548—591no—
919#547—591no—
920#547C2×D5911yescharacteristic
921#546C2×D5911yescharacteristic
922#546C2×D5911yescharacteristic
923#544—1181no—
924#542—1181no—
925#542C2×D5911yescharacteristic
926#541—591no—
927#541—591no—
928#541C2×D5911yescharacteristic
929#539—21no—
930#539—1181no—
931#539—1181no—
932#538—21no—
933#536—591no—
934#536—591no—
935C2×C4⋊Q8—591no—
936#529—21no—
937#529—591no—
938#529C2×D5911yescharacteristic
939#529C2×D5911yescharacteristic
940C2×#126—21no—
941#520C2×D5911yescharacteristic
942#518C2×D5911yescharacteristic
943C4×#41C2×D5911yescharacteristic
944#497—591no—
945#497—591no—
946#497—591no—
947#497—591no—
948#495—591no—
949#494—591no—
950#491—591no—
951#491—591no—
952#491—591no—
953#489—591no—
954#488—591no—
955#487—591no—
956#485—591no—
957#485—591no—
958#485—591no—
959#484—591no—
960#483—591no—
961#482—591no—
962#479—591no—
963#479—591no—
964#479—591no—
965#479—591no—
966#479—591no—
967#478—591no—
968#478—591no—
969#478—591no—
970#477—591no—
971#475—591no—
972#470—591no—
973#470—591no—
974#470—591no—
975#470—591no—
976#469—591no—
977#468—591no—
978#468—591no—
979#468—591no—
980#467—591no—
981#467—591no—
982#467—591no—
983#465—591no—
984#464—591no—
985#464—591no—
986#464—591no—
987#464—591no—
988#464—591no—
989#464—591no—
990#463—591no—
991#463—591no—
992#463—591no—
993#463—591no—
994#463—591no—
995#463—591no—
996#462—591no—
997#462—591no—
998#462—591no—
999#462—591no—
1000#462—591no—
1001#462—591no—
1002#462—591no—
1003#462—591no—
1004#462—591no—
1005#461—591no—
1006#461—591no—
1007#461—591no—
1008#461—591no—
1009#461—591no—
1010#461—591no—
1011#461—591no—
1012#461—591no—
1013#461—591no—
1014#452—591no—
1015#452—591no—
1016#452—591no—
1017#452—591no—
1018#452—591no—
1019#452—591no—
1020#451—591no—
1021#451—591no—
1022#451—591no—
1023#451—591no—
1024#451—591no—
1025#450—591no—
1026#450—591no—
1027#449—591no—
1028#449—591no—
1029#448—591no—
1030#448—591no—
1031#448—591no—
1032#446—591no—
1033#446—591no—
1034#442—591no—
1035#441—591no—
1036#441—591no—
1037#440—591no—
1038#440—591no—
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042C4×Q16—591no—
1043C4×SD16—591no—
1044C4×SD16—591no—
1045C4×SD16—591no—
1046#436—591no—
1047#436—591no—
1048#435—591no—
1049#435—591no—
1050#435—591no—
1051#435—591no—
1052#433—591no—
1053#433—591no—
1054#432—591no—
1055#424—591no—
1056#424—591no—
1057#423—591no—
1058#419—591no—
1059#419—591no—
1060#419—591no—
1061#417—591no—
1062#416—591no—
1063C2×#103—591no—
1064C59#6208011yescharacteristic, complemented, Sylow
1065C2×#41—591no—
1066C2×#41—591no—
1067C2×#41C22×D5911yescharacteristic
1068C2×#41C22×D5911yescharacteristic
1069C22×Q8—591no—
1070C22×Q8—591no—
1071C22×Q8—591no—
1072C22×Q8—591no—
1073C22×D4C22×D5911yescharacteristic
1074#137—2362no—
1075#137—2362no—
1076#137—2362no—
1077AGL(1,ℤ/8)—2362no—
1078#135—2362no—
1079C2×Q16—591no—
1080C2×Q16—591no—
1081C2×Q16—591no—
1082C2×Q16—591no—
1083C2×Q16—591no—
1084C2×Q16—591no—
1085C2×Q16—591no—
1086C2×Q16—591no—
1087C2×Q16—591no—
1088C2×Q16—591no—
1089C2×SD16—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—591no—
1099C2×SD16—591no—
1100C2×SD16—591no—
1101C2×SD16—2362no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×M16—591no—
1105C2×M16—591no—
1106C2×M16—591no—
1107C2×M16—591no—
1108C22×C8—591no—
1109C22×C8—591no—
1110C4⋊Q8—591no—
1111C4⋊Q8—591no—
1112C4⋊Q8—591no—
1113C4⋊Q8—591no—
1114C4⋊Q8—591no—
1115C4⋊Q8—591no—
1116C4⋊Q8—1181no—
1117C4⋊Q8—1181no—
1118C4⋊Q8—1181no—
1119C4⋊Q8—1181no—
1120C4⋊Q8—1181no—
1121C4⋊Q8C22×D5911yescharacteristic
1122C4⋊Q8C22×D5911yescharacteristic
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#126—21no—
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—1181no—
1134#126—1181no—
1135#126—1181no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#126—1181no—
1140#126C22⋊D5911yescharacteristic
1141#126C22⋊D5911yescharacteristic
1142#125—21no—
1143#125—21no—
1144#125—21no—
1145#125—591no—
1146#125—1181no—
1147#125—1181no—
1148#125—1181no—
1149#125—1181no—
1150#125—1181no—
1151#125—1181no—
1152#125—1181no—
1153#125C22⋊D5911yescharacteristic
1154#125C22×D5911yescharacteristic
1155#125C22×D5911yescharacteristic
1156#124—21no—
1157#124—21no—
1158#124—591no—
1159#124—591no—
1160#124—591no—
1161#124—1181no—
1162#124—1181no—
1163#124C22⋊D5911yescharacteristic
1164#124C22×D5911yescharacteristic
1165#124C22×D5911yescharacteristic
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—1181no—
1175#123—1181no—
1176#123—1181no—
1177#123—1181no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123C22⋊D5911yescharacteristic
1182#123C22⋊D5911yescharacteristic
1183C22⋊Q8—21no—
1184C22⋊Q8—21no—
1185C22⋊Q8—21no—
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—591no—
1189C22⋊Q8—591no—
1190C22⋊Q8—591no—
1191C22⋊Q8—591no—
1192C22⋊Q8—591no—
1193C22⋊Q8—1181no—
1194C22⋊Q8—1181no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8—1181no—
1201C22⋊Q8—1181no—
1202C22⋊Q8—1181no—
1203C22⋊Q8—1181no—
1204C22⋊Q8—1181no—
1205C22⋊Q8—1181no—
1206C22⋊Q8C22⋊D5911yescharacteristic
1207C22⋊Q8C22×D5911yescharacteristic
1208C22⋊Q8C22×D5911yescharacteristic
1209C22⋊Q8C22×D5911yescharacteristic
1210C22⋊Q8C22×D5911yescharacteristic
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121—591no—
1216#121—1181no—
1217#121—1181no—
1218#121—1181no—
1219#121C22⋊D5911yescharacteristic
1220#121C22×D5911yescharacteristic
1221#121C22×D5911yescharacteristic
1222#120—21no—
1223#120—21no—
1224C4×Q8—21no—
1225C4×Q8—591no—
1226C4×Q8—591no—
1227C4×Q8—591no—
1228C4×Q8—591no—
1229C4×Q8—591no—
1230C4×Q8—1181no—
1231C4×Q8C22×D5911yescharacteristic
1232C4×Q8C22×D5911yescharacteristic
1233C4×Q8C22×D5911yescharacteristic
1234C4×Q8C22×D5911yescharacteristic
1235C4×Q8C22×D5911yescharacteristic
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—591no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4—1181no—
1248C4×D4—1181no—
1249C4×D4—1181no—
1250C4×D4—1181no—
1251C4×D4C22×D5911yescharacteristic
1252C4×D4C22×D5911yescharacteristic
1253C4×D4C22×D5911yescharacteristic
1254C4×D4C22×D5911yescharacteristic
1255C4×D4C22×D5911yescharacteristic
1256C4×D4C22×D5911yescharacteristic
1257C4×D4C22×D5911yescharacteristic
1258C4×D4C22×D5911yescharacteristic
1259C4×D4C22×D5911yescharacteristic
1260#117—21no—
1261#117—21no—
1262#117—21no—
1263#117—21no—
1264#117—21no—
1265#117—1181no—
1266#117—1181no—
1267#117C22×D5911yescharacteristic
1268#117C22×D5911yescharacteristic
1269#117C22×D5911yescharacteristic
1270#117C22×D5911yescharacteristic
1271C2×C4⋊C4—21no—
1272C2×C4⋊C4—21no—
1273C2×C4⋊C4—21no—
1274C2×C4⋊C4—1181no—
1275C2×C4⋊C4—1181no—
1276C2×C4⋊C4—1181no—
1277C2×C4⋊C4C22×D5911yescharacteristic
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—21no—
1281C2×C22⋊C4—21no—
1282C2×C42—21no—
1283C2×C42C22×D5911yescharacteristic
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#106—591no—
1289#106—591no—
1290#106—591no—
1291#106—591no—
1292C4⋊C8—591no—
1293C4⋊C8—591no—
1294C4⋊C8—591no—
1295C4⋊C8—591no—
1296C4⋊C8—591no—
1297C4⋊C8—591no—
1298C4⋊C8—591no—
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302#103—591no—
1303#103—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#103—591no—
1317#103—591no—
1318#103—591no—
1319#103—591no—
1320#103—591no—
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—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—
1334C22⋊C8—591no—
1335C22⋊C8—591no—
1336C22⋊C8—591no—
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340#97—591no—
1341#97—591no—
1342#97—591no—
1343#97—591no—
1344C4×C8—591no—
1345C4×C8—591no—
1346C24—21no—
1347#41—22no—
1348#41—22no—
1349#41—41no—
1350#41—41no—
1351#41—2361no—
1352#41—2361no—
1353#41—2361no—
1354#41—2361no—
1355C2×Q8—21no—
1356C2×Q8—591no—
1357C2×Q8—591no—
1358C2×Q8—591no—
1359C2×Q8—591no—
1360C2×Q8—591no—
1361C2×Q8—1181no—
1362C2×Q8—1181no—
1363C2×Q8—1181no—
1364C2×Q8—1181no—
1365C2×Q8—2361no—
1366C2×Q8—2361no—
1367C2×Q8—2361no—
1368C2×Q8—2361no—
1369C2×Q8—2361no—
1370C2×Q8—2361no—
1371C2×Q8—2361no—
1372C2×Q8—2361no—
1373C2×Q8C2×C22⋊D5911yescharacteristic
1374C2×Q8C23×D5911yescharacteristic
1375C2×Q8C23×D5911yescharacteristic
1376C2×D4—22no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—41no—
1383C2×D4—591no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4C2×C22⋊D5911yescharacteristic
1388C2×D4C2×C22⋊D5911yescharacteristic
1389C2×D4C2×C22⋊D5911yescharacteristic
1390C2×D4C23×D5911yescharacteristic
1391C2×D4C23×D5911yescharacteristic
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—1181no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4C2×C22⋊D5911yescharacteristic
1409C22×C4C2×C22⋊D5911yescharacteristic
1410C22×C4C23×D5911yescharacteristic
1411C22×C4C23×D5911yescharacteristic
1412C22×C4C23×D5911yescharacteristic
1413Q16—2361no—
1414Q16—2361no—
1415Q16—2361no—
1416Q16—2361no—
1417Q16—2361no—
1418Q16—2361no—
1419Q16—2361no—
1420Q16—2361no—
1421Q16—2361no—
1422Q16—2361no—
1423SD16—1182no—
1424SD16—1182no—
1425SD16—1182no—
1426SD16—1182no—
1427SD16—1182no—
1428SD16—2361no—
1429SD16—2361no—
1430SD16—2361no—
1431SD16—2361no—
1432SD16—2361no—
1433SD16—2361no—
1434SD16—2361no—
1435D8—1182no—
1436D8—2361no—
1437M16—2361no—
1438M16—2361no—
1439M16—2361no—
1440M16—2361no—
1441C2×C8—591no—
1442C2×C8—591no—
1443C2×C8—591no—
1444C2×C8—591no—
1445C2×C8—591no—
1446C2×C8—591no—
1447C2×C8—591no—
1448C2×C8—591no—
1449C2×C8—2361no—
1450C2×C8—2361no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—591no—
1468C4⋊C4—591no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
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⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4C2×C22⋊D5911yescharacteristic
1494C4⋊C4C2×C22⋊D5911yescharacteristic
1495C4⋊C4C2×C22⋊D5911yescharacteristic
1496C4⋊C4C2×C22⋊D5911yescharacteristic
1497C4⋊C4C2×C22⋊D5911yescharacteristic
1498C4⋊C4C2×C22⋊D5911yescharacteristic
1499C4⋊C4C2×C22⋊D5911yescharacteristic
1500C4⋊C4C2×C22⋊D5911yescharacteristic
1501C4⋊C4C2×C22⋊D5911yescharacteristic
1502C4⋊C4C2×C22⋊D5911yescharacteristic
1503C4⋊C4C23×D5911yescharacteristic
1504C4⋊C4C23×D5911yescharacteristic
1505C4⋊C4C23×D5911yescharacteristic
1506C4⋊C4C23×D5911yescharacteristic
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—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
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⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4C2×C22⋊D5911yescharacteristic
1539C22⋊C4C2×C22⋊D5911yescharacteristic
1540C22⋊C4C2×C22⋊D5911yescharacteristic
1541C22⋊C4C2×C22⋊D5911yescharacteristic
1542C22⋊C4C2×C22⋊D5911yescharacteristic
1543C22⋊C4C2×C22⋊D5911yescharacteristic
1544C22⋊C4C2×C22⋊D5911yescharacteristic
1545C22⋊C4C2×C22⋊D5911yescharacteristic
1546C22⋊C4C2×C22⋊D5911yescharacteristic
1547C22⋊C4C2×C22⋊D5911yescharacteristic
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42—1181no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42C2×C22⋊D5911yescharacteristic
1560C42C2×C22⋊D5911yescharacteristic
1561C42C23×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C42C23×D5911yescharacteristic
1564C42C23×D5911yescharacteristic
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—81no—
1569C23—81no—
1570C23—1181no—
1571C23C22×C22⋊D5911yescharacteristic
1572C23C22×C22⋊D5911yescharacteristic
1573C23C22×C22⋊D5911yescharacteristic
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—41no—
1579Q8—81no—
1580Q8—1181no—
1581Q8—1181no—
1582Q8—1181no—
1583Q8—1181no—
1584Q8—1181no—
1585Q8—1181no—
1586Q8—1181no—
1587Q8—1181no—
1588Q8—1181no—
1589Q8—1181no—
1590Q8—4721no—
1591Q8—4721no—
1592Q8—4721no—
1593Q8—4721no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—41no—
1598D4—41no—
1599D4—41no—
1600D4—42no—
1601D4—42no—
1602D4—42no—
1603D4—81no—
1604D4—81no—
1605D4—1181no—
1606D4—1181no—
1607D4—4721no—
1608D4—4721no—
1609D4—2362no—
1610D4#1427377312yes—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—42no—
1626C2×C4—42no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—4721no—
1642C2×C4—4721no—
1643C2×C4—4721no—
1644C2×C4—4721no—
1645C2×C4—4721no—
1646C2×C4—4721no—
1647C2×C4—2362no—
1648C2×C4C22×C22⋊D5911yescharacteristic
1649C2×C4C22×C22⋊D5911yescharacteristic
1650C2×C4C22×C22⋊D5911yescharacteristic
1651C2×C4C22×C22⋊D5911yescharacteristic
1652C2×C4C22×C22⋊D5911yescharacteristic
1653C2×C4C22×C22⋊D5911yescharacteristic
1654C2×C4C22×C22⋊D5911yescharacteristic
1655C2×C4C22×C22⋊D5911yescharacteristic
1656C2×C4C22×C22⋊D5911yescharacteristic
1657C2×C4C22×C22⋊D5911yescharacteristic
1658C2×C4C22×C22⋊D5911yescharacteristic
1659C2×C4C24×D5911yescharacteristic
1660C8—1181no—
1661C8—1181no—
1662C8—1181no—
1663C8—1181no—
1664C8—1181no—
1665C8—1181no—
1666C8—1181no—
1667C8—1181no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—22no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—21no—
1676C22—21no—
1677C22—21no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—162no—
1684C22—2361no—
1685C22—2361no—
1686C22—2361no—
1687C22C23×C22⋊D5911yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—2361no—
1706C4—2361no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C4—2361no—
1711C4—2361no—
1712C4C2×#1427377311yescharacteristic
1713C4#1683823811yescharacteristic
1714C2—41no—
1715C2—41no—
1716C2—41no—
1717C2—42no—
1718C2—81no—
1719C2—4721no—
1720C2#2143776511yescharacteristic
1721C2#2143888211yescharacteristic
1722C2#2143888211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3521C2
socleC22×C59C23×D4
hypercenter#3521D59
hypocenterC59#62080
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #3521

Complements

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

NH ≅ G/Ntype
1. #21438541C2semidirect
2. #21437171C2semidirect
3. #21437127C2semidirect
4. #21436923C2semidirect
5. #21436877C2semidirect
6. #21436373C2semidirect
7. #21436343C2semidirect
8. #21436261C2semidirect
9. #21436186C2semidirect
10. #21436156C2semidirect
11. #21436141C2semidirect
12. #21435738C2semidirect
13. #21435723C2semidirect
14. #21435647C2semidirect
15. #21435617C2semidirect
16. #21435602C2semidirect
17. #21435602C2semidirect
18. #21435546C2semidirect
19. #21435522C2semidirect
20. #21435492C2semidirect
21. #21435199C2semidirect
22. #21435173C2semidirect
23. #21435120C2semidirect
24. #21434348C2semidirect
25. #21434310C2semidirect
26. #21434205C2semidirect
27. #21433646C2semidirect
28. #21433608C2semidirect
29. #21433583C2semidirect
30. #21433266C2semidirect
31. C59×#3521C2semidirect
40. #16838131C22semidirect
41. #16838125C22semidirect
46. D4×Dic118C22semidirect
48. #16838061C22semidirect
53. #16838014C22semidirect
57. #16837978C22semidirect
58. C2×#14273727C22semidirect
59. #16837936C22semidirect
63. #16837794C22semidirect
65. #16837781C22semidirect
66. #16837772C22semidirect
67. #16837772C22semidirect
68. #16837772C22semidirect
69. #16837764C22semidirect
70. #16837759C22semidirect
71. #16837754C22semidirect
74. #16837743C22semidirect
75. #16837737C22semidirect
76. #16837732C22semidirect
77. #16837726C22semidirect
78. #16837709C22semidirect
79. #16837709C22semidirect
80. #16837706C22semidirect
81. #16837706C22semidirect
82. #16837706C22semidirect
85. #16837699C22semidirect
86. #16837694C22semidirect
87. #16837684C22semidirect
90. #16837658C22semidirect
91. #16837658C22semidirect
93. #16837650C22semidirect
98. #16837641C22semidirect
100. #16837624C22semidirect
101. #16837624C22semidirect
102. #16837624C22semidirect
112. #16837612C22semidirect
113. #16837612C22semidirect
114. #16837612C22semidirect
115. #16837612C22semidirect
116. #16837612C22semidirect
117. #16837612C22semidirect
118. #16837612C22semidirect
119. #16837609C22semidirect
120. #16837609C22semidirect
135. #16837562C22semidirect
138. #16837557C22semidirect
139. #16837557C22semidirect
140. #16837557C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
151. #16837507C22semidirect
152. #16837507C22semidirect
157. #16837500C22semidirect
158. C4×#11745672C22semidirect
163. #16837480C22semidirect
167. #16837474C22semidirect
169. #16837463C22semidirect
170. #16837459C22semidirect
172. #16837429C22semidirect
173. #16837426C22semidirect
175. #16837410C22semidirect
176. #16837410C22semidirect
177. #16837401C22semidirect
179. C2×#14273650C22semidirect
854. #3521D59semidirect
1064. C59#62080semidirect

Maximal subgroups

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

subgroupindex
#214385412
#214371712
#214371272
#214369232
#214368772
#214363732
#214363432
#214362612
#214361862
#214361562
#214361412
#214357382
#214357232
#214356472
#214356172
#214356022
#214355462
#214355222
#214354922
#214351992
#214351732
#214351202
#214343482
#214343102
#214342052
#214336462
#214336082
#214335832
#214332662
C59×#35212
#6208059