Finite Group Databasebeta

← #29481236

Subgroups — #29481236

Order 15104.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438057C211yesmaximal, characteristic, complemented
2#21437180C211yesmaximal, characteristic, complemented
3#21437156C211yesmaximal, characteristic, complemented
4#21436923C211yesmaximal, characteristic, complemented
5#21436849C211yesmaximal, characteristic, complemented
6#21436343C211yesmaximal, characteristic, complemented
7#21436291C211yesmaximal, characteristic, complemented
8#21436261C211yesmaximal, characteristic, complemented
9#21436231C211yesmaximal, characteristic, complemented
10#21436201C211yesmaximal, characteristic, complemented
11#21436171C211yesmaximal, characteristic, complemented
12#21435723C211yesmaximal, characteristic, complemented
13#21435703C211yesmaximal, characteristic, complemented
14#21435602C211yesmaximal, characteristic, complemented
15#21435587C211yesmaximal, characteristic, complemented
16#21435577C211yesmaximal, characteristic, complemented
17#21435572C211yesmaximal, characteristic, complemented
18#21435492C211yesmaximal, characteristic, complemented
19#21435452C211yesmaximal, characteristic, complemented
20#21435443C211yesmaximal, characteristic, complemented
21#21435129C211yesmaximal, characteristic, complemented
22#21435079C211yesmaximal, characteristic, complemented
23#21435057C211yesmaximal, characteristic, complemented
24#21434234C211yesmaximal, characteristic, complemented
25#21434205C211yesmaximal, characteristic, complemented
26#21434143C211yesmaximal, characteristic, complemented
27#21433590C211yesmaximal, characteristic, complemented
28#21433560C211yesmaximal, characteristic, complemented
29C2×#16837617C211yesmaximal, characteristic, complemented
30#21433213C211yesmaximal, characteristic, complemented
31C59×#3481C211yesmaximal, characteristic, complemented
32C2×#14273757C2211yescharacteristic, complemented
33C2×#14273753C2211yescharacteristic, complemented
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic
36C22×#11745670C2211yescharacteristic, complemented
37C22×#11745669C2211yescharacteristic
38#16838137C2211yescharacteristic, complemented
39#16838125C2211yescharacteristic, complemented
40#16838115—21no—
41#16838076—21no—
42#16838076—21no—
43D4×Dic118C2211yescharacteristic, complemented
44#16838061C2211yescharacteristic
45#16838061C2211yescharacteristic, complemented
46#16838048C2211yescharacteristic
47#16838048C2211yescharacteristic, complemented
48#16838040—21no—
49D4×D236C2211yescharacteristic, complemented
50#16838024—21no—
51#16837985—21no—
52#16837985—21no—
53#16837952C2211yescharacteristic, complemented
54#16837936C2211yescharacteristic, complemented
55#16837936C2211yescharacteristic, complemented
56#16837936C2211yescharacteristic, complemented
57C2×#14273715C2211yescharacteristic, complemented
58C2×#14273715C2211yescharacteristic, complemented
59#16837874—21no—
60#16837797C2211yescharacteristic, complemented
61#16837792C2211yescharacteristic, complemented
62#16837789C2211yescharacteristic
63#16837789C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837784C2211yescharacteristic, complemented
66#16837772C2211yescharacteristic, complemented
67#16837768C2211yescharacteristic, complemented
68#16837764C2211yescharacteristic, complemented
69#16837764C2211yescharacteristic, complemented
70#16837759C2211yescharacteristic, complemented
71#16837759C2211yescharacteristic, complemented
72#16837743C2211yescharacteristic, complemented
73#16837737C2211yescharacteristic, complemented
74#16837732C2211yescharacteristic, complemented
75#16837726C2211yescharacteristic, complemented
76#16837720C2211yescharacteristic, complemented
77#16837715C2211yescharacteristic, 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#16837684C2211yescharacteristic, complemented
87#16837679C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic
90#16837653C2211yescharacteristic, complemented
91#16837653C2211yescharacteristic, complemented
92#16837650C2211yescharacteristic, complemented
93#16837646C2211yescharacteristic, complemented
94#16837646C2211yescharacteristic, complemented
95#16837646C2211yescharacteristic, complemented
96#16837641C2211yescharacteristic, complemented
97#16837636C2211yescharacteristic
98#16837633C2211yescharacteristic, complemented
99#16837629C2211yescharacteristic, complemented
100#16837624C2211yescharacteristic, complemented
101#16837624C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837624C2211yescharacteristic, complemented
104#16837624C2211yescharacteristic, complemented
105#16837621C2211yescharacteristic, complemented
106#16837621C2211yescharacteristic, complemented
107#16837617C2211yescharacteristic
108#16837617C2211yescharacteristic
109#16837617C2211yescharacteristic
110#16837617C2211yescharacteristic, complemented
111#16837617C2211yescharacteristic, complemented
112#16837617C2211yescharacteristic, complemented
113#16837617C2211yescharacteristic, complemented
114#16837617C2211yescharacteristic, complemented
115#16837617C2211yescharacteristic, complemented
116#16837617C2211yescharacteristic, complemented
117#16837617C2211yescharacteristic, complemented
118#16837617C2211yescharacteristic, complemented
119#16837617C2211yescharacteristic, complemented
120#16837617C2211yescharacteristic, complemented
121#16837617C2211yescharacteristic, complemented
122#16837614C2211yescharacteristic, complemented
123#16837614C2211yescharacteristic, complemented
124#16837607C2211yescharacteristic, complemented
125#16837607C2211yescharacteristic, complemented
126#16837599C2211yescharacteristic, complemented
127#16837597C2211yescharacteristic
128#16837597C2211yescharacteristic, complemented
129#16837594C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837557C2211yescharacteristic, complemented
134#16837553C2211yescharacteristic, complemented
135#16837553C2211yescharacteristic, complemented
136#16837552C2211yescharacteristic, complemented
137#16837547C2211yescharacteristic
138#16837545C2211yescharacteristic, complemented
139#16837545C2211yescharacteristic, complemented
140#16837540C2211yescharacteristic, complemented
141#16837540C2211yescharacteristic, complemented
142#16837540C2211yescharacteristic, complemented
143#16837536C2211yescharacteristic
144#16837536C2211yescharacteristic
145#16837535C2211yescharacteristic
146#16837535C2211yescharacteristic, complemented
147#16837535C2211yescharacteristic, complemented
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic
151#16837512C2211yescharacteristic, complemented
152#16837512C2211yescharacteristic, complemented
153#16837507C2211yescharacteristic, complemented
154#16837502C2211yescharacteristic, complemented
155#16837502C2211yescharacteristic, complemented
156#16837502C2211yescharacteristic, complemented
157#16837500C2211yescharacteristic, complemented
158C4×#11745670C2211yescharacteristic, complemented
159C4×#11745670C2211yescharacteristic, 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#16837459C2211yescharacteristic, complemented
169#16837459C2211yescharacteristic, complemented
170#16837455C2211yescharacteristic, complemented
171#16837426C2211yescharacteristic, complemented
172#16837426C2211yescharacteristic, complemented
173C2×C4⋊(C59⋊C8)C2211yescharacteristic, complemented
174#16837410C2211yescharacteristic, complemented
175#16837406C2211yescharacteristic, complemented
176#16837401C2211yescharacteristic, complemented
177#16837401C2211yescharacteristic, complemented
178C2×#14273650C2211yescharacteristic, complemented
179C2×#14273647C2211yescharacteristic, complemented
180C59×#559C2211yescharacteristic, complemented
181C59×#554C2211yescharacteristic, complemented
182C59×#554C2211yescharacteristic, complemented
183C59×#553—21no—
184C59×#553C2211yescharacteristic
185C59×#553C2211yescharacteristic, complemented
186C59×#551—21no—
187C59×#551—21no—
188C59×#546—21no—
189C59×#546C2211yescharacteristic
190C59×#546C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic, complemented
192C59×#532C2211yescharacteristic, complemented
193C59×#529—21no—
194C59×#529C2211yescharacteristic, complemented
195C59×#529C2211yescharacteristic, complemented
196C59×#525—21no—
197C59×#525—21no—
198C4×#41×C59C2211yescharacteristic
199C4×#41×C59C2211yescharacteristic, complemented
200C2×C4×D4×C59—21no—
201C2×C4×D4×C59C2211yescharacteristic, complemented
202C2×C4×D4×C59C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C22×Dic118C2311yescharacteristic
206C22×Dic118C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C2×D4×D59—21no—
210#14273757—42no—
211#14273753—42no—
212#14273753—42no—
213#14273752—42no—
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745670—42no—
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745669—42no—
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245C22×C59⋊C8C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273726—21no—
248#14273724C2311yescharacteristic
249#14273722—21no—
250#14273722—21no—
251#14273721—21no—
252#14273721—21no—
253#14273721—21no—
254#14273719C2311yescharacteristic
255#14273716—21no—
256#14273715—21no—
257#14273715—21no—
258#14273715—21no—
259#14273715—21no—
260#14273715C2311yescharacteristic
261#14273715C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273715C2311yescharacteristic
264#14273715C2311yescharacteristic
265#14273715C2311yescharacteristic
266#14273715C2311yescharacteristic
267#14273713—21no—
268#14273713—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712—21no—
272#14273712—21no—
273#14273710—21no—
274#14273710—21no—
275#14273710—21no—
276#14273706C2311yescharacteristic
277#14273706C2311yescharacteristic
278#14273706C2311yescharacteristic
279#14273705—21no—
280#14273705—21no—
281#14273704—21no—
282#14273704—21no—
283#14273703—21no—
284#14273702—21no—
285#14273701—21no—
286#14273701—21no—
287#14273701C2311yescharacteristic
288#14273701C2311yescharacteristic
289#14273701C2311yescharacteristic
290#14273700—21no—
291#14273700—21no—
292#14273699—21no—
293#14273699—21no—
294#14273697—21no—
295#14273697—21no—
296#14273695—21no—
297#14273695—21no—
298C4×Dic118C2311yescharacteristic
299C4×Dic118C2311yescharacteristic
300C4×Dic118C2311yescharacteristic
301C4×D236—21no—
302C4×D236—21no—
303C4×D236C2311yescharacteristic
304C4×D236C2311yescharacteristic
305C4×D236C2311yescharacteristic
306D4×Dic59—21no—
307#14273689—21no—
308C4×C22⋊D59—21no—
309C4×C22⋊D59—21no—
310C4×C22⋊D59—21no—
311(C22⋊D59)⋊C4—21no—
312(C22⋊D59)⋊C4—21no—
313#14273685—21no—
314#14273684—21no—
315#14273684—21no—
316#14273684—21no—
317C2×(C2×D59)⋊C4—21no—
318C2×(C2×D59)⋊C4—21no—
319C2×(C2×D59)⋊C4—21no—
320C2×(C2×D59)⋊C4—21no—
321C22⋊C4×D59—21no—
322C22⋊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#14273650C2311yescharacteristic
344#14273650C2311yescharacteristic
345#14273650C2311yescharacteristic
346#14273650C2311yescharacteristic
347#14273650C2311yescharacteristic
348#14273650C2311yescharacteristic
349#14273650C2311yescharacteristic
350#14273650C2311yescharacteristic
351#14273650C2311yescharacteristic
352#14273650C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273650C2311yescharacteristic
355#14273648C2311yescharacteristic
356#14273648C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273647C2311yescharacteristic
362#14273647C2311yescharacteristic
363#14273647C2311yescharacteristic
364#14273647C2311yescharacteristic
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×C59D411yescharacteristic
387C2×#41×C59C2311yescharacteristic
388C22×D4×C59—21no—
389C22×D4×C59C2311yescharacteristic
390C22×D4×C59C2311yescharacteristic
391C23×C4×C59—21no—
392C23×C4×C59—21no—
393C4⋊Q8×C59C2311yescharacteristic
394#127×C59C2311yescharacteristic
395#126×C59—21no—
396#126×C59—21no—
397#126×C59—21no—
398#126×C59—21no—
399#125×C59—21no—
400#125×C59C2311yescharacteristic
401#125×C59C2311yescharacteristic
402#124×C59—21no—
403#124×C59—21no—
404#124×C59C2311yescharacteristic
405#124×C59C2311yescharacteristic
406#123×C59—21no—
407#123×C59—21no—
408#123×C59—21no—
409#123×C59—21no—
410#123×C59—21no—
411#123×C59—21no—
412#123×C59—21no—
413#123×C59—21no—
414C22⋊Q8×C59—21no—
415C22⋊Q8×C59—21no—
416C22⋊Q8×C59—21no—
417C22⋊Q8×C59—21no—
418C22⋊Q8×C59—21no—
419C22⋊Q8×C59C2311yescharacteristic
420C22⋊Q8×C59C2311yescharacteristic
421#121×C59—21no—
422#121×C59—21no—
423#121×C59—21no—
424#121×C59—21no—
425#121×C59—21no—
426#121×C59—21no—
427#121×C59C2311yescharacteristic
428#121×C59C2311yescharacteristic
429#121×C59C2311yescharacteristic
430#121×C59C2311yescharacteristic
431#120×C59—21no—
432#120×C59—21no—
433#120×C59—21no—
434#120×C59—21no—
435C4×Q8×C59D411yescharacteristic
436C4×Q8×C59C2311yescharacteristic
437C4×Q8×C59C2311yescharacteristic
438C4×Q8×C59C2311yescharacteristic
439C4×D4×C59—21no—
440C4×D4×C59—21no—
441C4×D4×C59—21no—
442C4×D4×C59—21no—
443C4×D4×C59—21no—
444C4×D4×C59—21no—
445C4×D4×C59—21no—
446C4×D4×C59—21no—
447C4×D4×C59—21no—
448C4×D4×C59—21no—
449C4×D4×C59—21no—
450C4×D4×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59D411yescharacteristic
453C4×D4×C59D411yescharacteristic
454C4×D4×C59D411yescharacteristic
455C4×D4×C59C2311yescharacteristic
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
465C4×D4×C59C2311yescharacteristic
466#117×C59—21no—
467#117×C59—21no—
468#117×C59—21no—
469#117×C59D411yescharacteristic
470#117×C59D411yescharacteristic
471#117×C59D411yescharacteristic
472#117×C59C2311yescharacteristic
473C2×C4⋊C4×C59—21no—
474C2×C4⋊C4×C59C2311yescharacteristic
475C2×C4⋊C4×C59C2311yescharacteristic
476C2×C22⋊C4×C59—21no—
477C2×C22⋊C4×C59—21no—
478C2×C22⋊C4×C59—21no—
479C2×C22⋊C4×C59—21no—
480C2×C42×C59—21no—
481C2×C42×C59C2311yescharacteristic
482C2×C42×C59C2311yescharacteristic
483C2×C42×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—22no—
489#41×C59—42no—
490#41×C59—41no—
491#41×C59—82no—
492C2×Q8×C59—21no—
493C2×Q8×C59C2×D411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—22no—
496C2×D4×C59—22no—
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—41no—
507C2×D4×C59—41no—
508C2×D4×C59—44no—
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2×D411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
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—21no—
524C22×C4×C59—21no—
525C22×C4×C59—21no—
526C22×C4×C59—82no—
527C22×C4×C59—82no—
528C22×C4×C59C2×D411yescharacteristic
529C22×C4×C59C2×D411yescharacteristic
530C22×C4×C59C2×D411yescharacteristic
531C22×C4×C59C2×D411yescharacteristic
532C22×C4×C59C2×D411yescharacteristic
533C22×C4×C59C2×D411yescharacteristic
534C22×C4×C59C2411yescharacteristic
535C22×C4×C59C2411yescharacteristic
536C22×C4×C59C2411yescharacteristic
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544D4×D59—44no—
545#11745685—41no—
546#11745685—41no—
547#11745685—41no—
548#11745685—41no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—41no—
554C2×D236—41no—
555C2×D236—41no—
556C2×D236—41no—
557C2×D236C2411yescharacteristic
558C2×D236C2411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×Dic118—21no—
566C2×Dic118—21no—
567C2×Dic118—41no—
568C2×Dic118—41no—
569C2×Dic118—41no—
570C2×Dic118—41no—
571C2×Dic118C2411yescharacteristic
572C2×Dic118C2411yescharacteristic
573C2×Dic118C2411yescharacteristic
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
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
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
626C42×C59C2×D411yescharacteristic
627C42×C59C2×D411yescharacteristic
628C42×C59C2×D411yescharacteristic
629C42×C59C2411yescharacteristic
630C42×C59C2411yescharacteristic
631C42×C59C2411yescharacteristic
632C42×C59C2411yescharacteristic
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636#11745672—41no—
637#11745672—41no—
638#11745672—41no—
639#11745671—41no—
640#11745671—41no—
641#11745671—41no—
642#11745670—22no—
643#11745670—22no—
644#11745670—22no—
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—22no—
654#11745669—41no—
655#11745669—41no—
656#11745669—41no—
657#11745669—41no—
658#11745669—41no—
659#11745669—41no—
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—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680C4⋊Dic59—21no—
681C4⋊Dic59—21no—
682C4⋊Dic59C2411yescharacteristic
683C4⋊Dic59C2411yescharacteristic
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—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—42no—
713C23×C59—42no—
714C23×C59—42no—
715C23×C59—42no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59C22×D411yescharacteristic
719C23×C59C22×D411yescharacteristic
720C23×C59C22×D411yescharacteristic
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—21no—
724C22×D59—42no—
725C22×D59—42no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—41no—
733Q8×C59—81no—
734D4×C59—22no—
735D4×C59—22no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—41no—
742D4×C59—42no—
743D4×C59—42no—
744D4×C59—42no—
745D4×C59—42no—
746D4×C59—42no—
747D4×C59—42no—
748D4×C59—81no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59H(5,𝔽2)12yes—
752C2×C4×C59—22no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—41no—
765C2×C4×C59—41no—
766C2×C4×C59—41no—
767C2×C4×C59—41no—
768C2×C4×C59—41no—
769C2×C4×C59—42no—
770C2×C4×C59—42no—
771C2×C4×C59—42no—
772C2×C4×C59—42no—
773C2×C4×C59—42no—
774C2×C4×C59—81no—
775C2×C4×C59—81no—
776C2×C4×C59—81no—
777C2×C4×C59—81no—
778C2×C4×C59—81no—
779C2×C4×C59—81no—
780C2×C4×C59C22×D411yescharacteristic
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C22×D411yescharacteristic
783C2×C4×C59C22×D411yescharacteristic
784C2×C4×C59C22×D411yescharacteristic
785C2×C4×C59C22×D411yescharacteristic
786C2×C4×C59C22×D411yescharacteristic
787C2×C4×C59C22×D411yescharacteristic
788C2×C4×C59C22×D411yescharacteristic
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C2511yescharacteristic
792C22⋊D59—42no—
793C22⋊D59—42no—
794C22⋊D59—81no—
795C22⋊D59—81no—
796C22⋊D59—81no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—81no—
803C2×Dic59—81no—
804D236—21no—
805D236—21no—
806D236—21no—
807D236—21no—
808D236—21no—
809D236—21no—
810D236—42no—
811D236—81no—
812D236—81no—
813D236—81no—
814C4×D59—42no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818C4×D59—81no—
819Dic118—21no—
820Dic118—21no—
821Dic118—21no—
822Dic118—21no—
823Dic118—21no—
824Dic118—21no—
825Dic118—81no—
826Dic118—81no—
827C59⋊C8—21no—
828C59⋊C8—21no—
829C59⋊C8—21no—
830C59⋊C8—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#61971—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—21no—
839C22×C59—21no—
840C22×C59—21no—
841C22×C59—21no—
842C22×C59—22no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—84no—
854C22×C59—84no—
855C22×C59#57512yes—
856C22×C59C23×D411yescharacteristic
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—162no—
867C2×D59—162no—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—21no—
874C4×C59—21no—
875C4×C59—21no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—41no—
880C4×C59—41no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59C2×H(5,𝔽2)11yescharacteristic
885C4×C59#58511yescharacteristic
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3514—591no—
892#3481D5911yescharacteristic, complemented
893#3403—591no—
894#3401—591no—
895#3376—591no—
896#3370—591no—
897#3326—591no—
898#3322—591no—
899#3320—591no—
900#3318—591no—
901#3316—591no—
902#3314—591no—
903#3275—591no—
904#3273—591no—
905#3266—591no—
906#3265—591no—
907#3264—591no—
908#3264—591no—
909#3256—591no—
910#3251—591no—
911#3250—591no—
912#3219—591no—
913#3213—591no—
914#3211—591no—
915#3114—591no—
916#3111—591no—
917#3105—591no—
918#3040—591no—
919#3036—591no—
920C2×#463—591no—
921#2989—591no—
922C2×C59—22no—
923C2×C59—41no—
924C2×C59—41no—
925C2×C59—42no—
926C2×C59—81no—
927C2×C59—81no—
928C2×C59#348811yescharacteristic
929C2×C59C2×#57511yescharacteristic
930C2×C59#358511yescharacteristic
931D59—81no—
932D59—81no—
933D59—81no—
934C2×#137—591no—
935C2×AGL(1,ℤ/8)—591no—
936C2×AGL(1,ℤ/8)—591no—
937C2×AGL(1,ℤ/8)—591no—
938C22×SD16—591no—
939C22×D8—591no—
940#559—591no—
941#559C2×D5911yescharacteristic, complemented
942#556—591no—
943#555—1181no—
944#554C2×D5911yescharacteristic, complemented
945#554C2×D5911yescharacteristic, complemented
946#553—21no—
947#553C2×D5911yescharacteristic
948#553C2×D5911yescharacteristic, complemented
949#551—21no—
950#551—21no—
951#551—1181no—
952#551—1181no—
953D4×Q8—591no—
954#548—591no—
955#548—591no—
956#546—21no—
957#546—591no—
958#546—591no—
959#546—1181no—
960#546C2×D5911yescharacteristic
961#546C2×D5911yescharacteristic, complemented
962D42—591no—
963D42C2×D5911yescharacteristic, complemented
964#542—1181no—
965#538—1181no—
966#538—1181no—
967#532—591no—
968#532C2×D5911yescharacteristic, complemented
969#529—21no—
970#529—591no—
971#529—591no—
972#529—591no—
973#529C2×D5911yescharacteristic, complemented
974#529C2×D5911yescharacteristic, complemented
975C2×#124—591no—
976C2×#124—591no—
977#525—21no—
978#525—21no—
979#518—1181no—
980C4×#41C2×D5911yescharacteristic
981C4×#41C2×D5911yescharacteristic, complemented
982C2×C4×D4—21no—
983C2×C4×D4C2×D5911yescharacteristic, complemented
984C2×C4×D4C2×D5911yescharacteristic, complemented
985#497—591no—
986#496—591no—
987#496—591no—
988#496—591no—
989#495—591no—
990#495—591no—
991#491—591no—
992#490—591no—
993#489—591no—
994#489—591no—
995#488—591no—
996#488—591no—
997#485—591no—
998#484—591no—
999#483—591no—
1000#482—591no—
1001#481—591no—
1002#480—591no—
1003#479—591no—
1004#479—591no—
1005#479—591no—
1006#478—591no—
1007#478—591no—
1008#478—591no—
1009#478—591no—
1010#478—591no—
1011#475—591no—
1012#474—591no—
1013#470—591no—
1014#469—591no—
1015#469—591no—
1016#469—591no—
1017#468—591no—
1018#468—591no—
1019#468—591no—
1020#468—591no—
1021#467—591no—
1022#466—591no—
1023#465—591no—
1024#465—591no—
1025#464—591no—
1026#464—591no—
1027#464—591no—
1028#464—591no—
1029#464—591no—
1030#464—591no—
1031#464—591no—
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—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#463—591no—
1047#463—591no—
1048#463—591no—
1049#461—591no—
1050#461—591no—
1051#460—591no—
1052#459—591no—
1053#459—591no—
1054#459—591no—
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#451—591no—
1059#450—591no—
1060#450—591no—
1061#450—591no—
1062#449—591no—
1063#449—591no—
1064#449—591no—
1065#448—591no—
1066#448—591no—
1067#448—591no—
1068#447—591no—
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447—591no—
1073#446—591no—
1074#446—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#441—591no—
1079#440—591no—
1080#440—591no—
1081#440—591no—
1082#440—591no—
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×D8—591no—
1086C4×D8—591no—
1087#436—591no—
1088#436—591no—
1089#435—591no—
1090#435—591no—
1091#435—591no—
1092#435—591no—
1093#432—591no—
1094#432—591no—
1095#431—591no—
1096#423—591no—
1097#423—591no—
1098C2×C4⋊C8—591no—
1099#419—591no—
1100#418—591no—
1101#417—591no—
1102#417—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C59#6197111yescharacteristic, complemented, Sylow
1106C2×#41—21no—
1107C2×#41—591no—
1108C2×#41—591no—
1109C2×#41C22⋊D5911yescharacteristic
1110C2×#41C22×D5911yescharacteristic
1111C22×Q8—591no—
1112C22×Q8—591no—
1113C22×D4—21no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—1181no—
1117C22×D4C22×D5911yescharacteristic
1118C22×D4C22×D5911yescharacteristic
1119C23×C4—21no—
1120C23×C4—21no—
1121#137—2362no—
1122AGL(1,ℤ/8)—2362no—
1123AGL(1,ℤ/8)—2362no—
1124AGL(1,ℤ/8)—2362no—
1125C2×Q16—591no—
1126C2×Q16—591no—
1127C2×Q16—591no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—2362no—
1141C2×D8—591no—
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—591no—
1150C2×D8—2362no—
1151C2×M16—591no—
1152C2×M16—591no—
1153C2×M16—591no—
1154C2×M16—591no—
1155C22×C8—591no—
1156C22×C8—591no—
1157C4⋊Q8—591no—
1158C4⋊Q8—1181no—
1159C4⋊Q8C22×D5911yescharacteristic
1160#127—591no—
1161#127C22×D5911yescharacteristic
1162#126—21no—
1163#126—21no—
1164#126—21no—
1165#126—21no—
1166#126—1181no—
1167#126—1181no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#125—21no—
1172#125—591no—
1173#125C22×D5911yescharacteristic
1174#125C22×D5911yescharacteristic
1175#124—21no—
1176#124—21no—
1177#124—591no—
1178#124—591no—
1179#124—591no—
1180#124—591no—
1181#124—591no—
1182#124—591no—
1183#124—591no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124C22×D5911yescharacteristic
1192#124C22×D5911yescharacteristic
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—21no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—591no—
1214C22⋊Q8—591no—
1215C22⋊Q8—591no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8C22×D5911yescharacteristic
1222C22⋊Q8C22×D5911yescharacteristic
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121C22×D5911yescharacteristic
1240#121C22×D5911yescharacteristic
1241#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#120—21no—
1244#120—21no—
1245#120—21no—
1246#120—21no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251C4×Q8—591no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8C22⋊D5911yescharacteristic
1255C4×Q8C22×D5911yescharacteristic
1256C4×Q8C22×D5911yescharacteristic
1257C4×Q8C22×D5911yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
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—21no—
1270C4×D4—21no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4C22⋊D5911yescharacteristic
1284C4×D4C22⋊D5911yescharacteristic
1285C4×D4C22⋊D5911yescharacteristic
1286C4×D4C22×D5911yescharacteristic
1287C4×D4C22×D5911yescharacteristic
1288C4×D4C22×D5911yescharacteristic
1289C4×D4C22×D5911yescharacteristic
1290C4×D4C22×D5911yescharacteristic
1291C4×D4C22×D5911yescharacteristic
1292C4×D4C22×D5911yescharacteristic
1293C4×D4C22×D5911yescharacteristic
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296C4×D4C22×D5911yescharacteristic
1297#117—21no—
1298#117—21no—
1299#117—21no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304#117C22⋊D5911yescharacteristic
1305#117C22⋊D5911yescharacteristic
1306#117C22⋊D5911yescharacteristic
1307#117C22×D5911yescharacteristic
1308C2×C4⋊C4—21no—
1309C2×C4⋊C4C22×D5911yescharacteristic
1310C2×C4⋊C4C22×D5911yescharacteristic
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—21no—
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C42—21no—
1322C2×C42C22×D5911yescharacteristic
1323C2×C42C22×D5911yescharacteristic
1324C2×C42C22×D5911yescharacteristic
1325#107—591no—
1326#107—591no—
1327#107—591no—
1328#107—591no—
1329#106—591no—
1330#106—591no—
1331#106—591no—
1332#106—591no—
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8—591no—
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#102—591no—
1358#102—591no—
1359#102—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—
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8—591no—
1380C22⋊C8—591no—
1381#97—591no—
1382#97—591no—
1383#97—591no—
1384#97—591no—
1385C4×C8—591no—
1386C4×C8—591no—
1387C24—21no—
1388C24—21no—
1389C24—1181no—
1390C24—1181no—
1391#41—22no—
1392#41—42no—
1393#41—41no—
1394#41—82no—
1395#41—2361no—
1396#41—2361no—
1397#41—2361no—
1398#41—2361no—
1399C2×Q8—21no—
1400C2×Q8—591no—
1401C2×Q8—591no—
1402C2×Q8—591no—
1403C2×Q8—1181no—
1404C2×Q8—1181no—
1405C2×Q8—2361no—
1406C2×Q8—2361no—
1407C2×Q8—2361no—
1408C2×Q8—2361no—
1409C2×Q8C2×C22⋊D5911yescharacteristic
1410C2×Q8C23×D5911yescharacteristic
1411C2×D4—22no—
1412C2×D4—22no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—44no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—2361no—
1438C2×D4—2361no—
1439C2×D4—2361no—
1440C2×D4—2361no—
1441C2×D4—2364no—
1442C2×D4C2×C22⋊D5911yescharacteristic
1443C2×D4C2×C22⋊D5911yescharacteristic
1444C2×D4C2×C22⋊D5911yescharacteristic
1445C2×D4C23×D5911yescharacteristic
1446C2×D4C23×D5911yescharacteristic
1447C2×D4C23×D5911yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—82no—
1460C22×C4—82no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4C2×C22⋊D5911yescharacteristic
1469C22×C4C2×C22⋊D5911yescharacteristic
1470C22×C4C2×C22⋊D5911yescharacteristic
1471C22×C4C2×C22⋊D5911yescharacteristic
1472C22×C4C2×C22⋊D5911yescharacteristic
1473C22×C4C2×C22⋊D5911yescharacteristic
1474C22×C4C23×D5911yescharacteristic
1475C22×C4C23×D5911yescharacteristic
1476C22×C4C23×D5911yescharacteristic
1477Q16—2361no—
1478Q16—2361no—
1479Q16—2361no—
1480SD16—1182no—
1481SD16—1182no—
1482SD16—1182no—
1483SD16—2361no—
1484SD16—2361no—
1485SD16—2361no—
1486SD16—2361no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492D8—1182no—
1493D8—1182no—
1494D8—1182no—
1495D8—2361no—
1496D8—2361no—
1497D8—2361no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—2361no—
1502M16—2361no—
1503M16—2361no—
1504M16—2361no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—591no—
1508C2×C8—591no—
1509C2×C8—591no—
1510C2×C8—591no—
1511C2×C8—591no—
1512C2×C8—591no—
1513C2×C8—2361no—
1514C2×C8—2361no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4C2×C22⋊D5911yescharacteristic
1539C4⋊C4C2×C22⋊D5911yescharacteristic
1540C4⋊C4C2×C22⋊D5911yescharacteristic
1541C4⋊C4C2×C22⋊D5911yescharacteristic
1542C4⋊C4C2×C22⋊D5911yescharacteristic
1543C4⋊C4C2×C22⋊D5911yescharacteristic
1544C4⋊C4C23×D5911yescharacteristic
1545C4⋊C4C23×D5911yescharacteristic
1546C4⋊C4C23×D5911yescharacteristic
1547C4⋊C4C23×D5911yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
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⋊C4C2×C22⋊D5911yescharacteristic
1591C22⋊C4C2×C22⋊D5911yescharacteristic
1592C22⋊C4C2×C22⋊D5911yescharacteristic
1593C22⋊C4C2×C22⋊D5911yescharacteristic
1594C22⋊C4C2×C22⋊D5911yescharacteristic
1595C22⋊C4C2×C22⋊D5911yescharacteristic
1596C42—21no—
1597C42—21no—
1598C42—21no—
1599C42—1181no—
1600C42—1181no—
1601C42—1181no—
1602C42C2×C22⋊D5911yescharacteristic
1603C42C2×C22⋊D5911yescharacteristic
1604C42C2×C22⋊D5911yescharacteristic
1605C42C2×C22⋊D5911yescharacteristic
1606C42C2×C22⋊D5911yescharacteristic
1607C42C2×C22⋊D5911yescharacteristic
1608C42C23×D5911yescharacteristic
1609C42C23×D5911yescharacteristic
1610C42C23×D5911yescharacteristic
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—42no—
1617C23—42no—
1618C23—42no—
1619C23—81no—
1620C23—81no—
1621C23—1181no—
1622C23—1181no—
1623C23—1181no—
1624C23—4721no—
1625C23—4721no—
1626C23—4721no—
1627C23—4721no—
1628C23—2362no—
1629C23—2362no—
1630C23C22×C22⋊D5911yescharacteristic
1631C23C22×C22⋊D5911yescharacteristic
1632C23C22×C22⋊D5911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—41no—
1636Q8—81no—
1637Q8—1181no—
1638Q8—1181no—
1639Q8—1181no—
1640Q8—1181no—
1641Q8—1181no—
1642Q8—1181no—
1643Q8—4721no—
1644Q8—4721no—
1645D4—22no—
1646D4—22no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—41no—
1653D4—42no—
1654D4—42no—
1655D4—42no—
1656D4—42no—
1657D4—42no—
1658D4—42no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—1181no—
1663D4—1181no—
1664D4—1181no—
1665D4—1181no—
1666D4—1181no—
1667D4—1181no—
1668D4—4721no—
1669D4—4721no—
1670D4—4721no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—2362no—
1675D4—2362no—
1676D4—2362no—
1677D4#1427377312yes—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—42no—
1696C2×C4—42no—
1697C2×C4—42no—
1698C2×C4—42no—
1699C2×C4—42no—
1700C2×C4—81no—
1701C2×C4—81no—
1702C2×C4—81no—
1703C2×C4—81no—
1704C2×C4—81no—
1705C2×C4—81no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—1181no—
1710C2×C4—1181no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—4721no—
1716C2×C4—4721no—
1717C2×C4—2362no—
1718C2×C4C22×C22⋊D5911yescharacteristic
1719C2×C4C22×C22⋊D5911yescharacteristic
1720C2×C4C22×C22⋊D5911yescharacteristic
1721C2×C4C22×C22⋊D5911yescharacteristic
1722C2×C4C22×C22⋊D5911yescharacteristic
1723C2×C4C22×C22⋊D5911yescharacteristic
1724C2×C4C22×C22⋊D5911yescharacteristic
1725C2×C4C22×C22⋊D5911yescharacteristic
1726C2×C4C22×C22⋊D5911yescharacteristic
1727C2×C4C22×C22⋊D5911yescharacteristic
1728C2×C4C22×C22⋊D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—1181no—
1731C8—1181no—
1732C8—1181no—
1733C8—1181no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—21no—
1742C22—22no—
1743C22—21no—
1744C22—21no—
1745C22—21no—
1746C22—21no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—84no—
1756C22—84no—
1757C22—9442no—
1758C22—9442no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22#1683820012yes—
1769C22C23×C22⋊D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—21no—
1777C4—21no—
1778C4—21no—
1779C4—21no—
1780C4—21no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4C2×#1427377311yescharacteristic
1792C4#1683823811yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—41no—
1796C2—42no—
1797C2—81no—
1798C2—81no—
1799C2—4721no—
1800C2—4721no—
1801C2—4721no—
1802C2#2143776511yescharacteristic
1803C2C2×#1683820011yescharacteristic
1804C2#2143887611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3481C2
socleC22×C59C23×D4
hypercenter#3481D59
hypocenterC59#61971
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3481

Complements

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

NH ≅ G/Ntype
1. #21438057C2semidirect
2. #21437180C2semidirect
3. #21437156C2semidirect
4. #21436923C2semidirect
5. #21436849C2semidirect
6. #21436343C2semidirect
7. #21436291C2semidirect
8. #21436261C2semidirect
9. #21436231C2semidirect
10. #21436201C2semidirect
11. #21436171C2semidirect
12. #21435723C2semidirect
13. #21435703C2semidirect
14. #21435602C2semidirect
15. #21435587C2semidirect
16. #21435577C2semidirect
17. #21435572C2semidirect
18. #21435492C2semidirect
19. #21435452C2semidirect
20. #21435443C2semidirect
21. #21435129C2semidirect
22. #21435079C2semidirect
23. #21435057C2semidirect
24. #21434234C2semidirect
25. #21434205C2semidirect
26. #21434143C2semidirect
27. #21433590C2semidirect
28. #21433560C2semidirect
29. C2×#16837617C2semidirect
30. #21433213C2semidirect
31. C59×#3481C2semidirect
32. C2×#14273757C22semidirect
33. C2×#14273753C22semidirect
34. C2×#14273753C22semidirect
36. C22×#11745670C22semidirect
38. #16838137C22semidirect
39. #16838125C22semidirect
43. D4×Dic118C22semidirect
45. #16838061C22semidirect
47. #16838048C22semidirect
49. D4×D236C22semidirect
53. #16837952C22semidirect
54. #16837936C22semidirect
55. #16837936C22semidirect
56. #16837936C22semidirect
57. C2×#14273715C22semidirect
58. C2×#14273715C22semidirect
60. #16837797C22semidirect
61. #16837792C22semidirect
63. #16837789C22semidirect
64. #16837784C22semidirect
65. #16837784C22semidirect
66. #16837772C22semidirect
67. #16837768C22semidirect
68. #16837764C22semidirect
69. #16837764C22semidirect
70. #16837759C22semidirect
71. #16837759C22semidirect
72. #16837743C22semidirect
73. #16837737C22semidirect
74. #16837732C22semidirect
75. #16837726C22semidirect
76. #16837720C22semidirect
77. #16837715C22semidirect
78. #16837709C22semidirect
79. #16837706C22semidirect
80. #16837706C22semidirect
81. #16837702C22semidirect
82. #16837702C22semidirect
83. #16837702C22semidirect
84. #16837699C22semidirect
85. #16837699C22semidirect
86. #16837684C22semidirect
87. #16837679C22semidirect
88. #16837658C22semidirect
90. #16837653C22semidirect
91. #16837653C22semidirect
92. #16837650C22semidirect
93. #16837646C22semidirect
94. #16837646C22semidirect
95. #16837646C22semidirect
96. #16837641C22semidirect
98. #16837633C22semidirect
99. #16837629C22semidirect
100. #16837624C22semidirect
101. #16837624C22semidirect
102. #16837624C22semidirect
103. #16837624C22semidirect
104. #16837624C22semidirect
105. #16837621C22semidirect
106. #16837621C22semidirect
110. #16837617C22semidirect
111. #16837617C22semidirect
112. #16837617C22semidirect
113. #16837617C22semidirect
114. #16837617C22semidirect
115. #16837617C22semidirect
116. #16837617C22semidirect
117. #16837617C22semidirect
118. #16837617C22semidirect
119. #16837617C22semidirect
120. #16837617C22semidirect
121. #16837617C22semidirect
122. #16837614C22semidirect
123. #16837614C22semidirect
124. #16837607C22semidirect
125. #16837607C22semidirect
126. #16837599C22semidirect
128. #16837597C22semidirect
129. #16837594C22semidirect
130. #16837564C22semidirect
131. #16837562C22semidirect
132. #16837562C22semidirect
133. #16837557C22semidirect
134. #16837553C22semidirect
135. #16837553C22semidirect
136. #16837552C22semidirect
138. #16837545C22semidirect
139. #16837545C22semidirect
140. #16837540C22semidirect
141. #16837540C22semidirect
142. #16837540C22semidirect
146. #16837535C22semidirect
147. #16837535C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
151. #16837512C22semidirect
152. #16837512C22semidirect
153. #16837507C22semidirect
154. #16837502C22semidirect
155. #16837502C22semidirect
156. #16837502C22semidirect
157. #16837500C22semidirect
158. C4×#11745670C22semidirect
159. C4×#11745670C22semidirect
160. C4×#11745669C22semidirect
161. C4×#11745669C22semidirect
162. #16837480C22semidirect
163. #16837480C22semidirect
164. #16837474C22semidirect
165. #16837474C22semidirect
166. #16837474C22semidirect
167. #16837474C22semidirect
168. #16837459C22semidirect
169. #16837459C22semidirect
170. #16837455C22semidirect
171. #16837426C22semidirect
172. #16837426C22semidirect
173. C2×C4⋊(C59⋊C8)C22semidirect
174. #16837410C22semidirect
175. #16837406C22semidirect
176. #16837401C22semidirect
177. #16837401C22semidirect
178. C2×#14273650C22semidirect
179. C2×#14273647C22semidirect
180. C59×#559C22semidirect
181. C59×#554C22semidirect
182. C59×#554C22semidirect
185. C59×#553C22semidirect
190. C59×#546C22semidirect
191. D42×C59C22semidirect
192. C59×#532C22semidirect
194. C59×#529C22semidirect
195. C59×#529C22semidirect
199. C4×#41×C59C22semidirect
201. C2×C4×D4×C59C22semidirect
202. C2×C4×D4×C59C22semidirect
892. #3481D59semidirect
941. #559C2×D59semidirect
944. #554C2×D59semidirect
945. #554C2×D59semidirect
948. #553C2×D59semidirect
961. #546C2×D59semidirect
963. D42C2×D59semidirect
968. #532C2×D59semidirect
973. #529C2×D59semidirect
974. #529C2×D59semidirect
981. C4×#41C2×D59semidirect
983. C2×C4×D4C2×D59semidirect
984. C2×C4×D4C2×D59semidirect
1105. C59#61971semidirect

Maximal subgroups

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

subgroupindex
#214380572
#214371802
#214371562
#214369232
#214368492
#214363432
#214362912
#214362612
#214362312
#214362012
#214361712
#214357232
#214357032
#214356022
#214355872
#214355772
#214355722
#214354922
#214354522
#214354432
#214351292
#214350792
#214350572
#214342342
#214342052
#214341432
#214335902
#214335602
C2×#168376172
#214332132
C59×#34812
#6197159