Finite Group Databasebeta

← #29483995

Subgroups — #29483995

Order 15104.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438569C211yesmaximal, characteristic, complemented
2#21437180C211yesmaximal, characteristic, complemented
3#21437149C211yesmaximal, characteristic, complemented
4#21436877C211yesmaximal, characteristic, complemented
5#21436849C211yesmaximal, characteristic, complemented
6#21436395C211yesmaximal, characteristic, complemented
7#21436358C211yesmaximal, characteristic, complemented
8#21436261C211yesmaximal, characteristic, complemented
9#21436186C211yesmaximal, characteristic, complemented
10#21436096C211yesmaximal, characteristic, complemented
11#21436081C211yesmaximal, characteristic, complemented
12#21435723C211yesmaximal, characteristic, complemented
13#21435692C211yesmaximal, characteristic, complemented
14#21435632C211yesmaximal, characteristic, complemented
15#21435617C211yesmaximal, characteristic, complemented
16#21435602C211yesmaximal, characteristic, complemented
17#21435587C211yesmaximal, characteristic, complemented
18#21435552C211yesmaximal, characteristic, complemented
19#21435501C211yesmaximal, characteristic, complemented
20#21435469C211yesmaximal, characteristic, complemented
21#21435199C211yesmaximal, characteristic, complemented
22#21435151C211yesmaximal, characteristic, complemented
23#21435129C211yesmaximal, characteristic, complemented
24#21434358C211yesmaximal, characteristic, complemented
25#21434280C211yesmaximal, characteristic, complemented
26#21434195C211yesmaximal, characteristic, complemented
27#21433646C211yesmaximal, characteristic, complemented
28#21433608C211yesmaximal, characteristic, complemented
29#21433560C211yesmaximal, characteristic, complemented
30#21433266C211yesmaximal, characteristic, complemented
31C59×#3513C211yesmaximal, characteristic, complemented
32C2×#14273757C2211yescharacteristic
33C2×#14273753C2211yescharacteristic
34C2×#14273753C2211yescharacteristic
35C2×#14273753C2211yescharacteristic
36C2×#14273747C2211yescharacteristic
37C22×#11745670C2211yescharacteristic
38#16838149—21no—
39#16838149—21no—
40#16838137C2211yescharacteristic, complemented
41#16838134—21no—
42#16838131C2211yescharacteristic, complemented
43#16838108—21no—
44#16838073C2211yescharacteristic, complemented
45D4×Dic118C2211yescharacteristic, complemented
46#16838061C2211yescharacteristic
47#16838061C2211yescharacteristic, complemented
48#16838057C2211yescharacteristic
49#16838057C2211yescharacteristic, complemented
50#16838025—21no—
51#16838023C2211yescharacteristic, complemented
52#16838023C2211yescharacteristic, complemented
53#16838005—21no—
54#16837993—21no—
55#16837993—21no—
56#16837978C2211yescharacteristic, complemented
57#16837978C2211yescharacteristic, complemented
58#16837959C2211yescharacteristic, complemented
59#16837952C2211yescharacteristic, complemented
60#16837797C2211yescharacteristic, complemented
61#16837797C2211yescharacteristic, complemented
62#16837792C2211yescharacteristic, complemented
63#16837789C2211yescharacteristic
64#16837784C2211yescharacteristic, complemented
65#16837774C2211yescharacteristic
66#16837772C2211yescharacteristic, complemented
67#16837772C2211yescharacteristic, complemented
68#16837768C2211yescharacteristic, complemented
69#16837764C2211yescharacteristic, complemented
70#16837759C2211yescharacteristic, complemented
71#16837754C2211yescharacteristic, complemented
72#16837743C2211yescharacteristic, complemented
73#16837737C2211yescharacteristic, complemented
74#16837737C2211yescharacteristic, complemented
75#16837737C2211yescharacteristic, complemented
76#16837726C2211yescharacteristic, complemented
77#16837715C2211yescharacteristic, complemented
78#16837706C2211yescharacteristic, complemented
79#16837706C2211yescharacteristic, complemented
80#16837706C2211yescharacteristic, complemented
81#16837699C2211yescharacteristic, complemented
82#16837697C2211yescharacteristic, complemented
83#16837694C2211yescharacteristic, complemented
84#16837692C2211yescharacteristic, complemented
85#16837682C2211yescharacteristic
86#16837682C2211yescharacteristic, complemented
87#16837679C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837658C2211yescharacteristic, complemented
90#16837653C2211yescharacteristic, complemented
91#16837650C2211yescharacteristic, complemented
92#16837646C2211yescharacteristic
93#16837646C2211yescharacteristic
94#16837646C2211yescharacteristic
95#16837646C2211yescharacteristic, complemented
96#16837641C2211yescharacteristic, complemented
97#16837636C2211yescharacteristic
98#16837636C2211yescharacteristic, complemented
99#16837629C2211yescharacteristic, complemented
100#16837624C2211yescharacteristic, complemented
101#16837624C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837621C2211yescharacteristic, complemented
104#16837621C2211yescharacteristic, complemented
105#16837621C2211yescharacteristic, complemented
106#16837617C2211yescharacteristic
107#16837617C2211yescharacteristic
108#16837617C2211yescharacteristic
109#16837617C2211yescharacteristic
110#16837617C2211yescharacteristic, complemented
111#16837617C2211yescharacteristic, complemented
112#16837617C2211yescharacteristic, complemented
113#16837617C2211yescharacteristic, complemented
114#16837617C2211yescharacteristic, complemented
115#16837614C2211yescharacteristic, complemented
116#16837612C2211yescharacteristic, complemented
117#16837612C2211yescharacteristic, complemented
118#16837607C2211yescharacteristic
119#16837607C2211yescharacteristic
120#16837607C2211yescharacteristic
121#16837607C2211yescharacteristic
122#16837607C2211yescharacteristic, complemented
123#16837607C2211yescharacteristic, complemented
124#16837607C2211yescharacteristic, complemented
125#16837607C2211yescharacteristic, complemented
126#16837599C2211yescharacteristic
127#16837597C2211yescharacteristic
128#16837597C2211yescharacteristic, complemented
129#16837594C2211yescharacteristic
130#16837564C2211yescharacteristic
131#16837562C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic, complemented
134#16837557C2211yescharacteristic, complemented
135#16837553C2211yescharacteristic
136#16837553C2211yescharacteristic
137#16837553C2211yescharacteristic
138#16837547C2211yescharacteristic
139#16837545C2211yescharacteristic
140#16837545C2211yescharacteristic
141#16837545C2211yescharacteristic
142#16837545C2211yescharacteristic, complemented
143#16837545C2211yescharacteristic, complemented
144#16837540C2211yescharacteristic
145#16837540C2211yescharacteristic, complemented
146#16837540C2211yescharacteristic, complemented
147#16837536C2211yescharacteristic
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic
151#16837502C2211yescharacteristic
152#16837502C2211yescharacteristic
153#16837502C2211yescharacteristic
154#16837502C2211yescharacteristic, complemented
155#16837502C2211yescharacteristic, complemented
156#16837502C2211yescharacteristic, complemented
157#16837500C2211yescharacteristic, complemented
158C4×#11745672C2211yescharacteristic, complemented
159C4×#11745670C2211yescharacteristic
160C4×#11745669C2211yescharacteristic
161C4×#11745669C2211yescharacteristic, complemented
162#16837480C2211yescharacteristic
163#16837480C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic
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#16837410C2211yescharacteristic, complemented
175#16837401C2211yescharacteristic, complemented
176#16837401C2211yescharacteristic, complemented
177#16837401C2211yescharacteristic, complemented
178#16837396C2211yescharacteristic, complemented
179C2×#14273650C2211yescharacteristic, complemented
180C59×#559C2211yescharacteristic
181C59×#554C2211yescharacteristic
182C59×#553—21no—
183C59×#553C2211yescharacteristic
184C59×#552C2211yescharacteristic
185C59×#551—21no—
186C59×#551—21no—
187C59×#547C2211yescharacteristic
188C59×#546—21no—
189C59×#546C2211yescharacteristic
190C59×#546C2211yescharacteristic
191D42×C59C2211yescharacteristic
192C59×#542C2211yescharacteristic
193C59×#540C2211yescharacteristic
194C59×#539—21no—
195C59×#538—21no—
196C59×#529C2211yescharacteristic
197C59×#529C2211yescharacteristic
198C59×#525—21no—
199C2×#123×C59—21no—
200C59×#520C2211yescharacteristic
201C59×#518C2211yescharacteristic
202C2×C4×D4×C59C2211yescharacteristic
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C22×Dic118C2311yescharacteristic
209#14273757—42no—
210#14273753—42no—
211#14273753—42no—
212#14273753—42no—
213#14273747—42no—
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745670—42no—
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C22×C59⋊C8C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273727C2311yescharacteristic
248#14273727C2311yescharacteristic
249#14273727C2311yescharacteristic
250#14273726—21no—
251#14273724C2311yescharacteristic
252#14273723—21no—
253#14273722—21no—
254#14273722—21no—
255#14273719—21no—
256#14273718—21no—
257#14273718—21no—
258#14273718—21no—
259#14273716—21no—
260#14273715C2311yescharacteristic
261#14273715C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273715C2311yescharacteristic
264#14273713—21no—
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273712—21no—
269#14273712—21no—
270#14273711—21no—
271#14273711—21no—
272#14273711—21no—
273#14273711—21no—
274#14273709—21no—
275#14273709—21no—
276#14273709—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709—21no—
280#14273707—21no—
281#14273707—21no—
282#14273707—21no—
283#14273707—21no—
284#14273706—21no—
285#14273706C2311yescharacteristic
286#14273706C2311yescharacteristic
287#14273706C2311yescharacteristic
288#14273706C2311yescharacteristic
289#14273705—21no—
290#14273705—21no—
291#14273705—21no—
292#14273705—21no—
293#14273704—21no—
294#14273704—21no—
295#14273701—21no—
296#14273701—21no—
297#14273701C2311yescharacteristic
298#14273701C2311yescharacteristic
299#14273700—21no—
300#14273700—21no—
301#14273699—21no—
302#14273699—21no—
303#14273698—21no—
304#14273698—21no—
305Q8×Dic59—21no—
306C4×Dic118—21no—
307C4×Dic118C2311yescharacteristic
308C4×Dic118C2311yescharacteristic
309C4×Dic118C2311yescharacteristic
310C4×Dic118C2311yescharacteristic
311C4×D236—21no—
312C4×D236—21no—
313C4×D236C2311yescharacteristic
314C4×D236C2311yescharacteristic
315D4×Dic59—21no—
316#14273689—21no—
317#14273689—21no—
318(C22⋊D59)⋊C4—21no—
319(C22⋊D59)⋊C4—21no—
320#14273686—21no—
321C4⋊C4×D59—21no—
322C4⋊C4×D59—21no—
323#14273660C2311yescharacteristic
324#14273660C2311yescharacteristic
325#14273660C2311yescharacteristic
326#14273660C2311yescharacteristic
327#14273660C2311yescharacteristic
328#14273660C2311yescharacteristic
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#14273650C2311yescharacteristic
344#14273650C2311yescharacteristic
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#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273648C2311yescharacteristic
362#14273648C2311yescharacteristic
363#14273648C2311yescharacteristic
364#14273648C2311yescharacteristic
365#14273647C2311yescharacteristic
366#14273647C2311yescharacteristic
367#14273647C2311yescharacteristic
368#14273647C2311yescharacteristic
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
387C22×D4×C59—21no—
388C22×D4×C59C2311yescharacteristic
389C22×D4×C59C2311yescharacteristic
390C23×C4×C59—21no—
391C4⋊Q8×C59C2311yescharacteristic
392#127×C59C2311yescharacteristic
393#126×C59—21no—
394#126×C59—21no—
395#126×C59—21no—
396#126×C59—21no—
397#126×C59D411yescharacteristic
398#126×C59D411yescharacteristic
399#125×C59—21no—
400#125×C59D411yescharacteristic
401#125×C59C2311yescharacteristic
402#125×C59C2311yescharacteristic
403#124×C59—21no—
404#124×C59—21no—
405#124×C59D411yescharacteristic
406#124×C59C2311yescharacteristic
407#124×C59C2311yescharacteristic
408#123×C59—21no—
409#123×C59—21no—
410#123×C59—21no—
411#123×C59—21no—
412#123×C59—21no—
413#123×C59—21no—
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×C59D411yescharacteristic
421#123×C59D411yescharacteristic
422C22⋊Q8×C59—21no—
423C22⋊Q8×C59—21no—
424C22⋊Q8×C59—21no—
425C22⋊Q8×C59—21no—
426C22⋊Q8×C59—21no—
427C22⋊Q8×C59D411yescharacteristic
428C22⋊Q8×C59C2311yescharacteristic
429C22⋊Q8×C59C2311yescharacteristic
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×C59D411yescharacteristic
437#121×C59C2311yescharacteristic
438#121×C59C2311yescharacteristic
439#121×C59C2311yescharacteristic
440#121×C59C2311yescharacteristic
441#120×C59—21no—
442#120×C59—21no—
443#120×C59—21no—
444#120×C59—21no—
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×C59—21no—
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59—21no—
470#117×C59—21no—
471#117×C59C2311yescharacteristic
472#117×C59C2311yescharacteristic
473#117×C59C2311yescharacteristic
474C2×C4⋊C4×C59—21no—
475C2×C4⋊C4×C59—21no—
476C2×C4⋊C4×C59C2311yescharacteristic
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×C22⋊C4×C59—21no—
483C2×C42×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486#41×C59—22no—
487#41×C59—41no—
488#41×C59—82no—
489C2×Q8×C59—21no—
490C2×Q8×C59C2×D411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—22no—
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—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—41no—
504C2×D4×C59—41no—
505C2×D4×C59—82no—
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2×D411yescharacteristic
508C2×D4×C59C2×D411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59—21no—
521C22×C4×C59—21no—
522C22×C4×C59—21no—
523C22×C4×C59—82no—
524C22×C4×C59C2×D411yescharacteristic
525C22×C4×C59C2×D411yescharacteristic
526C22×C4×C59C2411yescharacteristic
527C22×C4×C59C2411yescharacteristic
528C22×C4×C59C2411yescharacteristic
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537#11745685—41no—
538#11745685—41no—
539#11745685—41no—
540#11745685—41no—
541#11745685—41no—
542#11745685—41no—
543#11745685—41no—
544#11745685—41no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236C2411yescharacteristic
548C2×D236C2411yescharacteristic
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118—21no—
558C2×Dic118—41no—
559C2×Dic118—41no—
560C2×Dic118—41no—
561C2×Dic118—41no—
562C2×Dic118C2411yescharacteristic
563C2×Dic118C2411yescharacteristic
564C2×Dic118C2411yescharacteristic
565C2×Dic118C2411yescharacteristic
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59C2×D411yescharacteristic
578C4⋊C4×C59C2×D411yescharacteristic
579C4⋊C4×C59C2×D411yescharacteristic
580C4⋊C4×C59C2×D411yescharacteristic
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×C59C2411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C4⋊C4×C59C2411yescharacteristic
590C4⋊C4×C59C2411yescharacteristic
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×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×C59—21no—
622C42×C59—21no—
623C42×C59C2×D411yescharacteristic
624C42×C59C2×D411yescharacteristic
625C42×C59C2411yescharacteristic
626C42×C59C2411yescharacteristic
627C42×C59C2411yescharacteristic
628C42×C59C2411yescharacteristic
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633#11745672—41no—
634#11745672—41no—
635#11745672—41no—
636#11745672—41no—
637#11745671—41no—
638#11745671—41no—
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#11745670—41no—
649#11745670—41no—
650#11745670—41no—
651#11745669—22no—
652#11745669—22no—
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⋊Dic59—21no—
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59C2411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692#11745664—41no—
693#11745664—41no—
694#11745664—41no—
695#11745664—41no—
696C2×C59⋊C8—41no—
697C2×C59⋊C8—41no—
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704C2×C59⋊C8C2411yescharacteristic
705C2×C59⋊C8C2411yescharacteristic
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—42no—
710C23×C59—42no—
711C23×C59—42no—
712C23×C59—81no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59C22×D411yescharacteristic
716C23×C59C22×D411yescharacteristic
717C23×C59C22×D411yescharacteristic
718C22×D59—21no—
719C22×D59—21no—
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—41no—
723Q8×C59—81no—
724D4×C59—21no—
725D4×C59—21no—
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—41no—
730D4×C59—41no—
731D4×C59—41no—
732D4×C59—42no—
733D4×C59—42no—
734D4×C59—42no—
735D4×C59—42no—
736D4×C59—81no—
737D4×C59—81no—
738D4×C59—81no—
739D4×C59—81no—
740D4×C59—81no—
741D4×C59H(5,𝔽2)12yes—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—41no—
754C2×C4×C59—41no—
755C2×C4×C59—42no—
756C2×C4×C59—42no—
757C2×C4×C59—81no—
758C2×C4×C59—81no—
759C2×C4×C59—81no—
760C2×C4×C59—81no—
761C2×C4×C59—81no—
762C2×C4×C59—81no—
763C2×C4×C59—81no—
764C2×C4×C59—81no—
765C2×C4×C59—81no—
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C22×D411yescharacteristic
769C2×C4×C59C22×D411yescharacteristic
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C22×D411yescharacteristic
777C2×C4×C59C2511yescharacteristic
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—81no—
791C2×Dic59—81no—
792D236—21no—
793D236—21no—
794D236—21no—
795D236—21no—
796D236—42no—
797D236—81no—
798C4×D59—81no—
799C4×D59—81no—
800C4×D59—81no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804Dic118—21no—
805Dic118—21no—
806Dic118—21no—
807Dic118—21no—
808Dic118—21no—
809Dic118—21no—
810Dic118—21no—
811Dic118—21no—
812Dic118—81no—
813Dic118—81no—
814Dic118—81no—
815C59⋊C8—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818C59⋊C8—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62084—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—21no—
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59—22no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—84no—
843C22×C59—162no—
844C22×C59C23×D411yescharacteristic
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C4×C59—21no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—21no—
859C4×C59—21no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59C2×H(5,𝔽2)11yescharacteristic
868C4×C59#58511yescharacteristic
869Dic59—41no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875#3554—591no—
876#3513D5911yescharacteristic, complemented
877#3403—591no—
878#3400—591no—
879#3372—591no—
880#3370—591no—
881#3330—591no—
882#3327—591no—
883#3320—591no—
884#3315—591no—
885#3309—591no—
886#3308—591no—
887#3275—591no—
888#3272—591no—
889#3268—591no—
890#3267—591no—
891#3266—591no—
892#3265—591no—
893#3262—591no—
894#3257—591no—
895#3252—591no—
896#3225—591no—
897#3221—591no—
898#3219—591no—
899#3124—591no—
900#3118—591no—
901#3110—591no—
902#3046—591no—
903#3042—591no—
904#3036—591no—
905#2995—591no—
906C2×C59—41no—
907C2×C59—41no—
908C2×C59—41no—
909C2×C59—42no—
910C2×C59—81no—
911C2×C59—81no—
912C2×C59#348811yescharacteristic
913C2×C59#358511yescharacteristic
914C2×C59#358611yescharacteristic
915D59—81no—
916D59—81no—
917C2×#137—591no—
918C2×AGL(1,ℤ/8)—591no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C2×#135—591no—
922C22×SD16—591no—
923#562—1181no—
924#562—1181no—
925#559—591no—
926#559—1181no—
927#559C2×D5911yescharacteristic
928#557—591no—
929#554—1181no—
930#554C2×D5911yescharacteristic
931#553—21no—
932#553C2×D5911yescharacteristic
933#552C2×D5911yescharacteristic
934#551—21no—
935#551—21no—
936#550—591no—
937D4×Q8—591no—
938#548—591no—
939#548—591no—
940#547—591no—
941#547—591no—
942#547C2×D5911yescharacteristic
943#546—21no—
944#546C2×D5911yescharacteristic
945#546C2×D5911yescharacteristic
946D42C2×D5911yescharacteristic
947#542—591no—
948#542—591no—
949#542—1181no—
950#542C2×D5911yescharacteristic
951#540—1181no—
952#540C2×D5911yescharacteristic
953#539—21no—
954#539—1181no—
955#539—1181no—
956#538—21no—
957#536—591no—
958#536—591no—
959#533—591no—
960#532—591no—
961#529C2×D5911yescharacteristic
962#529C2×D5911yescharacteristic
963#525—21no—
964C2×#123—21no—
965#520C2×D5911yescharacteristic
966#518C2×D5911yescharacteristic
967C2×C4×D4C2×D5911yescharacteristic
968#497—591no—
969#497—591no—
970#496—591no—
971#496—591no—
972#495—591no—
973#492—591no—
974#491—591no—
975#491—591no—
976#490—591no—
977#489—591no—
978#488—591no—
979#487—591no—
980#485—591no—
981#484—591no—
982#484—591no—
983#484—591no—
984#482—591no—
985#480—591no—
986#479—591no—
987#479—591no—
988#479—591no—
989#478—591no—
990#477—591no—
991#477—591no—
992#476—591no—
993#474—591no—
994#474—591no—
995#474—591no—
996#470—591no—
997#470—591no—
998#469—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#467—591no—
1005#466—591no—
1006#466—591no—
1007#465—591no—
1008#464—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#463—591no—
1015#463—591no—
1016#463—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#462—591no—
1025#462—591no—
1026#461—591no—
1027#461—591no—
1028#461—591no—
1029#461—591no—
1030#461—591no—
1031#461—591no—
1032#461—591no—
1033#461—591no—
1034#460—591no—
1035#459—591no—
1036#459—591no—
1037#459—591no—
1038#452—591no—
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#451—591no—
1043#450—591no—
1044#450—591no—
1045#450—591no—
1046#449—591no—
1047#449—591no—
1048#449—591no—
1049#449—591no—
1050#449—591no—
1051#449—591no—
1052#448—591no—
1053#448—591no—
1054#448—591no—
1055#447—591no—
1056#446—591no—
1057#446—591no—
1058#442—591no—
1059#440—591no—
1060#440—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066C4×Q16—591no—
1067C4×SD16—591no—
1068C4×D8—591no—
1069C4×D8—591no—
1070#436—591no—
1071#436—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#433—591no—
1077#433—591no—
1078#432—591no—
1079#424—591no—
1080#424—591no—
1081#423—591no—
1082#419—591no—
1083#417—591no—
1084#417—591no—
1085#417—591no—
1086#416—591no—
1087C2×#103—591no—
1088C59#6208411yescharacteristic, complemented, Sylow
1089C2×#41—21no—
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—591no—
1094C2×#41C22×D5911yescharacteristic
1095C22×Q8—591no—
1096C22×Q8—591no—
1097C22×D4—21no—
1098C22×D4C22×D5911yescharacteristic
1099C22×D4C22×D5911yescharacteristic
1100C23×C4—21no—
1101#137—2362no—
1102AGL(1,ℤ/8)—2362no—
1103AGL(1,ℤ/8)—2362no—
1104AGL(1,ℤ/8)—2362no—
1105#135—2362no—
1106C2×Q16—591no—
1107C2×Q16—591no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—2362no—
1125C2×D8—591no—
1126C2×D8—591no—
1127C2×D8—591no—
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8—591no—
1131C2×M16—591no—
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16—591no—
1135C22×C8—591no—
1136C22×C8—591no—
1137C4⋊Q8—591no—
1138C4⋊Q8—591no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8—591no—
1142C4⋊Q8—1181no—
1143C4⋊Q8C22×D5911yescharacteristic
1144#127—591no—
1145#127—1181no—
1146#127C22×D5911yescharacteristic
1147#126—21no—
1148#126—21no—
1149#126—21no—
1150#126—21no—
1151#126—1181no—
1152#126—1181no—
1153#126C22⋊D5911yescharacteristic
1154#126C22⋊D5911yescharacteristic
1155#125—21no—
1156#125—1181no—
1157#125—1181no—
1158#125—1181no—
1159#125—1181no—
1160#125C22⋊D5911yescharacteristic
1161#125C22×D5911yescharacteristic
1162#125C22×D5911yescharacteristic
1163#124—21no—
1164#124—21no—
1165#124—591no—
1166#124—591no—
1167#124—591no—
1168#124—591no—
1169#124—1181no—
1170#124—1181no—
1171#124—1181no—
1172#124—1181no—
1173#124—1181no—
1174#124C22⋊D5911yescharacteristic
1175#124C22×D5911yescharacteristic
1176#124C22×D5911yescharacteristic
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123C22⋊D5911yescharacteristic
1202#123C22⋊D5911yescharacteristic
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—591no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8C22⋊D5911yescharacteristic
1224C22⋊Q8C22×D5911yescharacteristic
1225C22⋊Q8C22×D5911yescharacteristic
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—591no—
1233#121—591no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121C22⋊D5911yescharacteristic
1243#121C22×D5911yescharacteristic
1244#121C22×D5911yescharacteristic
1245#121C22×D5911yescharacteristic
1246#121C22×D5911yescharacteristic
1247#120—21no—
1248#120—21no—
1249#120—21no—
1250#120—21no—
1251C4×Q8—591no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—1181no—
1256C4×Q8—1181no—
1257C4×Q8C22×D5911yescharacteristic
1258C4×Q8C22×D5911yescharacteristic
1259C4×Q8C22×D5911yescharacteristic
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—21no—
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—1181no—
1272C4×D4—1181no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4C22×D5911yescharacteristic
1279C4×D4C22×D5911yescharacteristic
1280C4×D4C22×D5911yescharacteristic
1281C4×D4C22×D5911yescharacteristic
1282C4×D4C22×D5911yescharacteristic
1283C4×D4C22×D5911yescharacteristic
1284C4×D4C22×D5911yescharacteristic
1285C4×D4C22×D5911yescharacteristic
1286C4×D4C22×D5911yescharacteristic
1287C4×D4C22×D5911yescharacteristic
1288C4×D4C22×D5911yescharacteristic
1289#117—21no—
1290#117—21no—
1291#117—21no—
1292#117—1181no—
1293#117C22×D5911yescharacteristic
1294#117C22×D5911yescharacteristic
1295#117C22×D5911yescharacteristic
1296C2×C4⋊C4—21no—
1297C2×C4⋊C4—21no—
1298C2×C4⋊C4—1181no—
1299C2×C4⋊C4—1181no—
1300C2×C4⋊C4C22×D5911yescharacteristic
1301C2×C4⋊C4C22×D5911yescharacteristic
1302C2×C22⋊C4—21no—
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—21no—
1305C2×C22⋊C4—21no—
1306C2×C22⋊C4—21no—
1307C2×C42C22×D5911yescharacteristic
1308#107—591no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#106—591no—
1315#106—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8—591no—
1325C4⋊C8—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358C22⋊C8—591no—
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8—591no—
1364#97—591no—
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368C4×C8—591no—
1369C4×C8—591no—
1370C24—21no—
1371C24—21no—
1372#41—22no—
1373#41—41no—
1374#41—82no—
1375#41—2361no—
1376#41—2361no—
1377#41—2361no—
1378#41—2361no—
1379#41—2361no—
1380#41—2361no—
1381#41—2361no—
1382#41—2361no—
1383C2×Q8—21no—
1384C2×Q8—591no—
1385C2×Q8—591no—
1386C2×Q8—591no—
1387C2×Q8—591no—
1388C2×Q8—1181no—
1389C2×Q8—1181no—
1390C2×Q8—1181no—
1391C2×Q8—2361no—
1392C2×Q8—2361no—
1393C2×Q8—2361no—
1394C2×Q8—2361no—
1395C2×Q8C2×C22⋊D5911yescharacteristic
1396C2×Q8C23×D5911yescharacteristic
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—82no—
1411C2×D4—591no—
1412C2×D4—591no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4C2×C22⋊D5911yescharacteristic
1422C2×D4C2×C22⋊D5911yescharacteristic
1423C2×D4C2×C22⋊D5911yescharacteristic
1424C2×D4C23×D5911yescharacteristic
1425C2×D4C23×D5911yescharacteristic
1426C2×D4C23×D5911yescharacteristic
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—82no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4C2×C22⋊D5911yescharacteristic
1448C22×C4C2×C22⋊D5911yescharacteristic
1449C22×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451C22×C4C23×D5911yescharacteristic
1452Q16—2361no—
1453Q16—2361no—
1454Q16—2361no—
1455Q16—2361no—
1456SD16—1182no—
1457SD16—1182no—
1458SD16—1182no—
1459SD16—1182no—
1460SD16—2361no—
1461SD16—2361no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470D8—1182no—
1471D8—1182no—
1472D8—2361no—
1473D8—2361no—
1474D8—2361no—
1475D8—2361no—
1476M16—2361no—
1477M16—2361no—
1478M16—2361no—
1479M16—2361no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—591no—
1484C2×C8—591no—
1485C2×C8—591no—
1486C2×C8—591no—
1487C2×C8—591no—
1488C2×C8—2361no—
1489C2×C8—2361no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4C2×C22⋊D5911yescharacteristic
1521C4⋊C4C2×C22⋊D5911yescharacteristic
1522C4⋊C4C2×C22⋊D5911yescharacteristic
1523C4⋊C4C2×C22⋊D5911yescharacteristic
1524C4⋊C4C2×C22⋊D5911yescharacteristic
1525C4⋊C4C2×C22⋊D5911yescharacteristic
1526C4⋊C4C2×C22⋊D5911yescharacteristic
1527C4⋊C4C2×C22⋊D5911yescharacteristic
1528C4⋊C4C2×C22⋊D5911yescharacteristic
1529C4⋊C4C2×C22⋊D5911yescharacteristic
1530C4⋊C4C23×D5911yescharacteristic
1531C4⋊C4C23×D5911yescharacteristic
1532C4⋊C4C23×D5911yescharacteristic
1533C4⋊C4C23×D5911yescharacteristic
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4C2×C22⋊D5911yescharacteristic
1570C22⋊C4C2×C22⋊D5911yescharacteristic
1571C22⋊C4C2×C22⋊D5911yescharacteristic
1572C22⋊C4C2×C22⋊D5911yescharacteristic
1573C22⋊C4C2×C22⋊D5911yescharacteristic
1574C22⋊C4C2×C22⋊D5911yescharacteristic
1575C22⋊C4C2×C22⋊D5911yescharacteristic
1576C22⋊C4C2×C22⋊D5911yescharacteristic
1577C22⋊C4C2×C22⋊D5911yescharacteristic
1578C22⋊C4C2×C22⋊D5911yescharacteristic
1579C42—21no—
1580C42—21no—
1581C42—21no—
1582C42—1181no—
1583C42—1181no—
1584C42—1181no—
1585C42—1181no—
1586C42C2×C22⋊D5911yescharacteristic
1587C42C2×C22⋊D5911yescharacteristic
1588C42C23×D5911yescharacteristic
1589C42C23×D5911yescharacteristic
1590C42C23×D5911yescharacteristic
1591C42C23×D5911yescharacteristic
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—42no—
1596C23—42no—
1597C23—42no—
1598C23—81no—
1599C23—81no—
1600C23—81no—
1601C23—1181no—
1602C23—1181no—
1603C23C22×C22⋊D5911yescharacteristic
1604C23C22×C22⋊D5911yescharacteristic
1605C23C22×C22⋊D5911yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—41no—
1609Q8—81no—
1610Q8—1181no—
1611Q8—1181no—
1612Q8—1181no—
1613Q8—1181no—
1614Q8—1181no—
1615Q8—1181no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—4721no—
1619Q8—4721no—
1620Q8—4721no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—41no—
1627D4—41no—
1628D4—41no—
1629D4—42no—
1630D4—42no—
1631D4—42no—
1632D4—42no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—1181no—
1639D4—1181no—
1640D4—1181no—
1641D4—1181no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—2362no—
1650D4#1427377312yes—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—42no—
1665C2×C4—42no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4C22×C22⋊D5911yescharacteristic
1690C2×C4C22×C22⋊D5911yescharacteristic
1691C2×C4C22×C22⋊D5911yescharacteristic
1692C2×C4C22×C22⋊D5911yescharacteristic
1693C2×C4C22×C22⋊D5911yescharacteristic
1694C2×C4C22×C22⋊D5911yescharacteristic
1695C2×C4C22×C22⋊D5911yescharacteristic
1696C2×C4C22×C22⋊D5911yescharacteristic
1697C2×C4C22×C22⋊D5911yescharacteristic
1698C2×C4C22×C22⋊D5911yescharacteristic
1699C2×C4C22×C22⋊D5911yescharacteristic
1700C2×C4C24×D5911yescharacteristic
1701C8—1181no—
1702C8—1181no—
1703C8—1181no—
1704C8—1181no—
1705C8—1181no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—22no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—21no—
1718C22—21no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—84no—
1728C22—162no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22C23×C22⋊D5911yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—2361no—
1753C4—2361no—
1754C4—2361no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4C2×#1427377311yescharacteristic
1759C4#1683823811yescharacteristic
1760C2—41no—
1761C2—41no—
1762C2—41no—
1763C2—42no—
1764C2—81no—
1765C2—81no—
1766C2—4721no—
1767C2—4721no—
1768C2#2143776511yescharacteristic
1769C2#2143887611yescharacteristic
1770C2#2143888211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3513C2
socleC22×C59C23×D4
hypercenter#3513D59
hypocenterC59#62084
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #3513

Complements

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

NH ≅ G/Ntype
1. #21438569C2semidirect
2. #21437180C2semidirect
3. #21437149C2semidirect
4. #21436877C2semidirect
5. #21436849C2semidirect
6. #21436395C2semidirect
7. #21436358C2semidirect
8. #21436261C2semidirect
9. #21436186C2semidirect
10. #21436096C2semidirect
11. #21436081C2semidirect
12. #21435723C2semidirect
13. #21435692C2semidirect
14. #21435632C2semidirect
15. #21435617C2semidirect
16. #21435602C2semidirect
17. #21435587C2semidirect
18. #21435552C2semidirect
19. #21435501C2semidirect
20. #21435469C2semidirect
21. #21435199C2semidirect
22. #21435151C2semidirect
23. #21435129C2semidirect
24. #21434358C2semidirect
25. #21434280C2semidirect
26. #21434195C2semidirect
27. #21433646C2semidirect
28. #21433608C2semidirect
29. #21433560C2semidirect
30. #21433266C2semidirect
31. C59×#3513C2semidirect
40. #16838137C22semidirect
42. #16838131C22semidirect
44. #16838073C22semidirect
45. D4×Dic118C22semidirect
47. #16838061C22semidirect
49. #16838057C22semidirect
51. #16838023C22semidirect
52. #16838023C22semidirect
56. #16837978C22semidirect
57. #16837978C22semidirect
58. #16837959C22semidirect
59. #16837952C22semidirect
60. #16837797C22semidirect
61. #16837797C22semidirect
62. #16837792C22semidirect
64. #16837784C22semidirect
66. #16837772C22semidirect
67. #16837772C22semidirect
68. #16837768C22semidirect
69. #16837764C22semidirect
70. #16837759C22semidirect
71. #16837754C22semidirect
72. #16837743C22semidirect
73. #16837737C22semidirect
74. #16837737C22semidirect
75. #16837737C22semidirect
76. #16837726C22semidirect
77. #16837715C22semidirect
78. #16837706C22semidirect
79. #16837706C22semidirect
80. #16837706C22semidirect
81. #16837699C22semidirect
82. #16837697C22semidirect
83. #16837694C22semidirect
84. #16837692C22semidirect
86. #16837682C22semidirect
87. #16837679C22semidirect
88. #16837658C22semidirect
89. #16837658C22semidirect
90. #16837653C22semidirect
91. #16837650C22semidirect
95. #16837646C22semidirect
96. #16837641C22semidirect
98. #16837636C22semidirect
99. #16837629C22semidirect
100. #16837624C22semidirect
101. #16837624C22semidirect
102. #16837624C22semidirect
103. #16837621C22semidirect
104. #16837621C22semidirect
105. #16837621C22semidirect
110. #16837617C22semidirect
111. #16837617C22semidirect
112. #16837617C22semidirect
113. #16837617C22semidirect
114. #16837617C22semidirect
115. #16837614C22semidirect
116. #16837612C22semidirect
117. #16837612C22semidirect
122. #16837607C22semidirect
123. #16837607C22semidirect
124. #16837607C22semidirect
125. #16837607C22semidirect
128. #16837597C22semidirect
131. #16837562C22semidirect
132. #16837562C22semidirect
133. #16837562C22semidirect
134. #16837557C22semidirect
142. #16837545C22semidirect
143. #16837545C22semidirect
145. #16837540C22semidirect
146. #16837540C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
154. #16837502C22semidirect
155. #16837502C22semidirect
156. #16837502C22semidirect
157. #16837500C22semidirect
158. C4×#11745672C22semidirect
161. C4×#11745669C22semidirect
163. #16837480C22semidirect
165. #16837474C22semidirect
166. #16837474C22semidirect
167. #16837474C22semidirect
168. #16837463C22semidirect
169. #16837463C22semidirect
170. #16837459C22semidirect
171. #16837429C22semidirect
172. #16837429C22semidirect
173. #16837426C22semidirect
174. #16837410C22semidirect
175. #16837401C22semidirect
176. #16837401C22semidirect
177. #16837401C22semidirect
178. #16837396C22semidirect
179. C2×#14273650C22semidirect
876. #3513D59semidirect
1088. C59#62084semidirect

Maximal subgroups

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

subgroupindex
#214385692
#214371802
#214371492
#214368772
#214368492
#214363952
#214363582
#214362612
#214361862
#214360962
#214360812
#214357232
#214356922
#214356322
#214356172
#214356022
#214355872
#214355522
#214355012
#214354692
#214351992
#214351512
#214351292
#214343582
#214342802
#214341952
#214336462
#214336082
#214335602
#214332662
C59×#35132
#6208459