Finite Group Databasebeta

← #29483840

Subgroups — #29483840

Order 15104.

1906 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438426C211yesmaximal, characteristic, complemented
2#21437162C211yesmaximal, characteristic, complemented
3#21437116C211yesmaximal, characteristic, complemented
4#21436849C211yesmaximal, characteristic, complemented
5#21436803C211yesmaximal, characteristic, complemented
6#21436321C211yesmaximal, characteristic, complemented
7#21436291C211yesmaximal, characteristic, complemented
8#21436231C211yesmaximal, characteristic, complemented
9#21436216C211yesmaximal, characteristic, complemented
10#21436126C211yesmaximal, characteristic, complemented
11#21436111C211yesmaximal, characteristic, complemented
12#21435703C211yesmaximal, characteristic, complemented
13#21435696C211yesmaximal, characteristic, complemented
14#21435632C211yesmaximal, characteristic, complemented
15#21435622C211yesmaximal, characteristic, complemented
16#21435577C211yesmaximal, characteristic, complemented
17#21435577C211yesmaximal, characteristic, complemented
18#21435537C211yesmaximal, characteristic, complemented
19#21435507C211yesmaximal, characteristic, complemented
20#21435492C211yesmaximal, characteristic, complemented
21#21435184C211yesmaximal, characteristic, complemented
22#21435162C211yesmaximal, characteristic, complemented
23#21435111C211yesmaximal, characteristic, complemented
24#21434339C211yesmaximal, characteristic, complemented
25#21434295C211yesmaximal, characteristic, complemented
26#21434205C211yesmaximal, characteristic, complemented
27#21433635C211yesmaximal, characteristic, complemented
28#21433599C211yesmaximal, characteristic, complemented
29#21433576C211yesmaximal, characteristic, complemented
30#21433266C211yesmaximal, characteristic, complemented
31C59×#3521C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic, complemented
33C2×#14273752C2211yescharacteristic, complemented
34C2×#14273752C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic, complemented
37C22×#11745669C2211yescharacteristic, complemented
38#16838143—21no—
39#16838143—21no—
40#16838137C2211yescharacteristic, complemented
41#16838074C2211yescharacteristic, complemented
42#16838073C2211yescharacteristic
43#16838048C2211yescharacteristic
44#16838048C2211yescharacteristic, complemented
45#16838043—21no—
46D4×D236C2211yescharacteristic
47D4×D236C2211yescharacteristic
48D4×D236C2211yescharacteristic, complemented
49#16838036—21no—
50#16838008—21no—
51#16838007C2211yescharacteristic
52#16838007C2211yescharacteristic, complemented
53#16837971C2211yescharacteristic
54#16837971C2211yescharacteristic, complemented
55#16837970—21no—
56#16837963—21no—
57#16837963—21no—
58C2×#14273724C2211yescharacteristic, complemented
59#16837936C2211yescharacteristic, complemented
60#16837794C2211yescharacteristic, complemented
61#16837792C2211yescharacteristic
62#16837792C2211yescharacteristic, complemented
63#16837792C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837776C2211yescharacteristic, complemented
66#16837768C2211yescharacteristic, complemented
67#16837768C2211yescharacteristic, complemented
68#16837768C2211yescharacteristic, complemented
69#16837764C2211yescharacteristic, complemented
70#16837759C2211yescharacteristic, complemented
71#16837750C2211yescharacteristic, complemented
72#16837743C2211yescharacteristic, complemented
73#16837726C2211yescharacteristic, complemented
74#16837726C2211yescharacteristic, complemented
75#16837726C2211yescharacteristic, complemented
76#16837720C2211yescharacteristic, complemented
77#16837715C2211yescharacteristic, complemented
78#16837709C2211yescharacteristic, complemented
79#16837709C2211yescharacteristic, complemented
80#16837706C2211yescharacteristic, complemented
81#16837702C2211yescharacteristic, complemented
82#16837702C2211yescharacteristic, complemented
83#16837699C2211yescharacteristic, complemented
84#16837699C2211yescharacteristic, complemented
85#16837699C2211yescharacteristic, complemented
86#16837689C2211yescharacteristic, complemented
87#16837679C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic
90#16837653C2211yescharacteristic, complemented
91#16837650C2211yescharacteristic, complemented
92#16837650C2211yescharacteristic, complemented
93#16837650C2211yescharacteristic, complemented
94#16837650C2211yescharacteristic, complemented
95#16837646C2211yescharacteristic, complemented
96#16837636C2211yescharacteristic, complemented
97#16837633C2211yescharacteristic, complemented
98#16837633C2211yescharacteristic, complemented
99#16837633C2211yescharacteristic, complemented
100#16837624C2211yescharacteristic, complemented
101#16837624C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837621C2211yescharacteristic, complemented
104#16837617C2211yescharacteristic, complemented
105#16837617C2211yescharacteristic, complemented
106#16837617C2211yescharacteristic, complemented
107#16837617C2211yescharacteristic, complemented
108#16837617C2211yescharacteristic, complemented
109#16837614C2211yescharacteristic, complemented
110#16837614C2211yescharacteristic, complemented
111#16837614C2211yescharacteristic, complemented
112#16837604C2211yescharacteristic, complemented
113#16837604C2211yescharacteristic, complemented
114#16837602C2211yescharacteristic, complemented
115#16837602C2211yescharacteristic, complemented
116#16837602C2211yescharacteristic, complemented
117#16837602C2211yescharacteristic, complemented
118#16837602C2211yescharacteristic, complemented
119#16837602C2211yescharacteristic, complemented
120#16837602C2211yescharacteristic, complemented
121#16837597C2211yescharacteristic
122#16837597C2211yescharacteristic, complemented
123#16837597C2211yescharacteristic, complemented
124#16837597C2211yescharacteristic, complemented
125#16837597C2211yescharacteristic, complemented
126#16837597C2211yescharacteristic, complemented
127#16837597C2211yescharacteristic, complemented
128#16837597C2211yescharacteristic, complemented
129#16837597C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic, complemented
134#16837552C2211yescharacteristic, complemented
135#16837552C2211yescharacteristic, complemented
136#16837552C2211yescharacteristic, complemented
137#16837552C2211yescharacteristic, complemented
138#16837552C2211yescharacteristic, complemented
139#16837547C2211yescharacteristic
140#16837547C2211yescharacteristic, complemented
141#16837547C2211yescharacteristic, complemented
142#16837545C2211yescharacteristic, complemented
143#16837536C2211yescharacteristic, complemented
144#16837536C2211yescharacteristic, complemented
145#16837535C2211yescharacteristic, complemented
146#16837535C2211yescharacteristic, complemented
147#16837535C2211yescharacteristic, complemented
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic, complemented
151#16837512C2211yescharacteristic, complemented
152#16837512C2211yescharacteristic, complemented
153#16837512C2211yescharacteristic, complemented
154#16837507C2211yescharacteristic, complemented
155#16837502C2211yescharacteristic, complemented
156#16837500C2211yescharacteristic, complemented
157#16837500C2211yescharacteristic, complemented
158C4×#11745671C2211yescharacteristic, complemented
159C4×#11745669C2211yescharacteristic, complemented
160C4×#11745669C2211yescharacteristic, complemented
161C4×#11745669C2211yescharacteristic, complemented
162#16837480C2211yescharacteristic, complemented
163#16837480C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic, complemented
165#16837474C2211yescharacteristic, complemented
166#16837474C2211yescharacteristic, complemented
167#16837474C2211yescharacteristic, complemented
168#16837463C2211yescharacteristic, complemented
169#16837463C2211yescharacteristic, complemented
170#16837459C2211yescharacteristic, complemented
171#16837429C2211yescharacteristic, complemented
172#16837429C2211yescharacteristic, complemented
173#16837426C2211yescharacteristic, complemented
174#16837406C2211yescharacteristic, complemented
175#16837406C2211yescharacteristic, complemented
176#16837406C2211yescharacteristic, complemented
177#16837401C2211yescharacteristic, complemented
178#16837396C2211yescharacteristic, complemented
179C2×#14273647C2211yescharacteristic, complemented
180C59×#556C2211yescharacteristic, complemented
181C59×#556C2211yescharacteristic, complemented
182C59×#554C2211yescharacteristic, complemented
183C59×#553—21no—
184C59×#553C2211yescharacteristic, complemented
185C59×#552—21no—
186C59×#552C2211yescharacteristic, complemented
187C59×#551—21no—
188C59×#551—21no—
189C59×#547C2211yescharacteristic, complemented
190C59×#546C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic, complemented
192C59×#542C2211yescharacteristic, complemented
193C59×#541C2211yescharacteristic, complemented
194C59×#539—21no—
195C59×#538—21no—
196C59×#529—21no—
197C59×#529C2211yescharacteristic
198C59×#529C2211yescharacteristic, complemented
199C2×#126×C59—21no—
200C59×#520C2211yescharacteristic, complemented
201C59×#518C2211yescharacteristic, complemented
202C4×#41×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C22×D236—21no—
207C22×D236—21no—
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C22×D236C2311yescharacteristic
212C2×D4×D59—21no—
213C2×D4×D59—21no—
214C2×D4×D59—21no—
215#14273753—42no—
216#14273752—42no—
217#14273752—42no—
218#14273752—42no—
219#14273747—42no—
220C2×#11745672C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745669—42no—
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245C2×#11745664C2311yescharacteristic
246C2×#11745664C2311yescharacteristic
247C2×#11745664C2311yescharacteristic
248C2×#11745664C2311yescharacteristic
249C22×C59⋊C8C2311yescharacteristic
250C22×C59⋊C8C2311yescharacteristic
251#14273724—21no—
252#14273724—21no—
253#14273724C2311yescharacteristic
254#14273724C2311yescharacteristic
255#14273724C2311yescharacteristic
256#14273724C2311yescharacteristic
257#14273724C2311yescharacteristic
258#14273724C2311yescharacteristic
259#14273723—21no—
260#14273721—21no—
261#14273719C2311yescharacteristic
262#14273716—21no—
263#14273715C2311yescharacteristic
264#14273715C2311yescharacteristic
265#14273715C2311yescharacteristic
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712—21no—
272#14273712—21no—
273#14273712—21no—
274#14273710—21no—
275#14273706C2311yescharacteristic
276#14273702—21no—
277#14273702—21no—
278#14273702—21no—
279#14273702—21no—
280#14273702—21no—
281#14273702—21no—
282#14273702—21no—
283#14273702—21no—
284#14273702—21no—
285#14273702—21no—
286#14273701C2311yescharacteristic
287#14273701C2311yescharacteristic
288#14273701C2311yescharacteristic
289#14273701C2311yescharacteristic
290#14273701C2311yescharacteristic
291#14273700—21no—
292#14273700—21no—
293#14273700—21no—
294#14273700—21no—
295#14273700—21no—
296#14273700—21no—
297#14273700—21no—
298#14273700—21no—
299#14273697—21no—
300#14273697—21no—
301#14273697—21no—
302#14273697—21no—
303#14273697—21no—
304#14273697—21no—
305#14273697—21no—
306#14273697—21no—
307#14273697—21no—
308#14273697—21no—
309#14273695—21no—
310#14273695—21no—
311C4×Dic118C2311yescharacteristic
312C4×D236C2311yescharacteristic
313C4×D236C2311yescharacteristic
314C4×D236C2311yescharacteristic
315C4×D236C2311yescharacteristic
316C4×D236C2311yescharacteristic
317#14273689—21no—
318#14273689—21no—
319C4×C22⋊D59—21no—
320#14273684—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#14273651C2311yescharacteristic
344#14273651C2311yescharacteristic
345#14273650C2311yescharacteristic
346#14273650C2311yescharacteristic
347#14273650C2311yescharacteristic
348#14273650C2311yescharacteristic
349#14273648C2311yescharacteristic
350#14273648C2311yescharacteristic
351#14273648C2311yescharacteristic
352#14273648C2311yescharacteristic
353#14273647C2311yescharacteristic
354#14273647C2311yescharacteristic
355#14273647C2311yescharacteristic
356#14273647C2311yescharacteristic
357#14273647C2311yescharacteristic
358#14273647C2311yescharacteristic
359#14273647C2311yescharacteristic
360#14273647C2311yescharacteristic
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×C59C2311yescharacteristic
386C2×#41×C59C2311yescharacteristic
387C22×D4×C59C2311yescharacteristic
388C4⋊Q8×C59C2311yescharacteristic
389C4⋊Q8×C59C2311yescharacteristic
390#126×C59—21no—
391#126×C59—21no—
392#126×C59—21no—
393#126×C59—21no—
394#126×C59—21no—
395#126×C59—21no—
396#126×C59—21no—
397#126×C59—21no—
398#126×C59—21no—
399#126×C59—21no—
400#126×C59D411yescharacteristic
401#126×C59D411yescharacteristic
402#125×C59—21no—
403#125×C59—21no—
404#125×C59—21no—
405#125×C59D411yescharacteristic
406#125×C59C2311yescharacteristic
407#125×C59C2311yescharacteristic
408#124×C59—21no—
409#124×C59—21no—
410#124×C59D411yescharacteristic
411#124×C59C2311yescharacteristic
412#124×C59C2311yescharacteristic
413#123×C59—21no—
414#123×C59—21no—
415#123×C59—21no—
416#123×C59—21no—
417#123×C59—21no—
418#123×C59—21no—
419#123×C59—21no—
420#123×C59—21no—
421#123×C59D411yescharacteristic
422#123×C59D411yescharacteristic
423C22⋊Q8×C59—21no—
424C22⋊Q8×C59—21no—
425C22⋊Q8×C59—21no—
426C22⋊Q8×C59—21no—
427C22⋊Q8×C59—21no—
428C22⋊Q8×C59D411yescharacteristic
429C22⋊Q8×C59C2311yescharacteristic
430C22⋊Q8×C59C2311yescharacteristic
431C22⋊Q8×C59C2311yescharacteristic
432C22⋊Q8×C59C2311yescharacteristic
433#121×C59—21no—
434#121×C59—21no—
435#121×C59—21no—
436#121×C59—21no—
437#121×C59D411yescharacteristic
438#121×C59C2311yescharacteristic
439#121×C59C2311yescharacteristic
440#120×C59—21no—
441#120×C59—21no—
442C4×Q8×C59—21no—
443C4×Q8×C59C2311yescharacteristic
444C4×Q8×C59C2311yescharacteristic
445C4×Q8×C59C2311yescharacteristic
446C4×Q8×C59C2311yescharacteristic
447C4×Q8×C59C2311yescharacteristic
448C4×D4×C59—21no—
449C4×D4×C59—21no—
450C4×D4×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465#117×C59—21no—
466#117×C59—21no—
467#117×C59—21no—
468#117×C59—21no—
469#117×C59—21no—
470#117×C59C2311yescharacteristic
471#117×C59C2311yescharacteristic
472#117×C59C2311yescharacteristic
473#117×C59C2311yescharacteristic
474C2×C4⋊C4×C59—21no—
475C2×C4⋊C4×C59—21no—
476C2×C4⋊C4×C59—21no—
477C2×C4⋊C4×C59C2311yescharacteristic
478C2×C22⋊C4×C59—21no—
479C2×C22⋊C4×C59—21no—
480C2×C22⋊C4×C59—21no—
481C2×C22⋊C4×C59—21no—
482C2×C42×C59—21no—
483C2×C42×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489#41×C59—22no—
490#41×C59—22no—
491#41×C59—41no—
492#41×C59—41no—
493C2×Q8×C59—21no—
494C2×Q8×C59C2×D411yescharacteristic
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×D4×C59—22no—
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×C59C2×D411yescharacteristic
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
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×C59C2×D411yescharacteristic
519C22×C4×C59C2×D411yescharacteristic
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C22×C4×C59C2411yescharacteristic
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530#11745689—82no—
531D4×D59—82no—
532D4×D59—82no—
533D4×D59—82no—
534#11745685—41no—
535#11745685—41no—
536#11745685—41no—
537#11745685—41no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—41no—
555C2×D236—41no—
556C2×D236—41no—
557C2×D236—41no—
558C2×D236—41no—
559C2×D236—41no—
560C2×D236—41no—
561C2×D236—41no—
562C2×D236—82no—
563C2×D236—82no—
564C2×D236C2411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×D236C2411yescharacteristic
567C2×D236C2411yescharacteristic
568C2×D236C2411yescharacteristic
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×Dic118C2411yescharacteristic
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×C59—21no—
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59C2×D411yescharacteristic
594C4⋊C4×C59C2×D411yescharacteristic
595C4⋊C4×C59C2×D411yescharacteristic
596C4⋊C4×C59C2×D411yescharacteristic
597C4⋊C4×C59C2×D411yescharacteristic
598C4⋊C4×C59C2×D411yescharacteristic
599C4⋊C4×C59C2×D411yescharacteristic
600C4⋊C4×C59C2×D411yescharacteristic
601C4⋊C4×C59C2×D411yescharacteristic
602C4⋊C4×C59C2×D411yescharacteristic
603C4⋊C4×C59C2411yescharacteristic
604C4⋊C4×C59C2411yescharacteristic
605C4⋊C4×C59C2411yescharacteristic
606C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
615C22⋊C4×C59—21no—
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59C2×D411yescharacteristic
626C22⋊C4×C59C2×D411yescharacteristic
627C22⋊C4×C59C2×D411yescharacteristic
628C22⋊C4×C59C2×D411yescharacteristic
629C22⋊C4×C59C2×D411yescharacteristic
630C22⋊C4×C59C2×D411yescharacteristic
631C22⋊C4×C59C2×D411yescharacteristic
632C22⋊C4×C59C2×D411yescharacteristic
633C22⋊C4×C59C2×D411yescharacteristic
634C22⋊C4×C59C2×D411yescharacteristic
635C42×C59—21no—
636C42×C59—21no—
637C42×C59—21no—
638C42×C59—21no—
639C42×C59—21no—
640C42×C59—21no—
641C42×C59C2×D411yescharacteristic
642C42×C59C2×D411yescharacteristic
643C42×C59C2411yescharacteristic
644C42×C59C2411yescharacteristic
645C42×C59C2411yescharacteristic
646C42×C59C2411yescharacteristic
647C22⋊Dic59—21no—
648#11745672—41no—
649#11745672—41no—
650#11745671—41no—
651#11745671—41no—
652#11745671—41no—
653#11745671—41no—
654#11745671—41no—
655#11745671—41no—
656#11745671—41no—
657#11745671—41no—
658#11745671—41no—
659#11745671—41no—
660#11745670—22no—
661#11745670—41no—
662#11745669—22no—
663#11745669—22no—
664#11745669—22no—
665#11745669—22no—
666#11745669—22no—
667#11745669—41no—
668#11745669—41no—
669#11745669—41no—
670#11745669—41no—
671#11745669—41no—
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—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688C4⋊Dic59C2411yescharacteristic
689C4⋊Dic59C2411yescharacteristic
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—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—42no—
712C23×C59—81no—
713C23×C59—81no—
714C23×C59C22×D411yescharacteristic
715C23×C59C22×D411yescharacteristic
716C23×C59C22×D411yescharacteristic
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—21no—
721C22×D59—21no—
722C22×D59—42no—
723C22×D59—42no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59—81no—
733C22×D59—81no—
734Q8×C59—21no—
735Q8×C59—21no—
736Q8×C59—21no—
737Q8×C59—21no—
738Q8×C59—41no—
739Q8×C59—81no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—41no—
744D4×C59—41no—
745D4×C59—41no—
746D4×C59—42no—
747D4×C59—42no—
748D4×C59—42no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59H(5,𝔽2)12yes—
752C2×C4×C59—21no—
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—42no—
767C2×C4×C59—42no—
768C2×C4×C59—81no—
769C2×C4×C59—81no—
770C2×C4×C59—81no—
771C2×C4×C59—81no—
772C2×C4×C59—81no—
773C2×C4×C59—81no—
774C2×C4×C59—81no—
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C22×D411yescharacteristic
777C2×C4×C59C22×D411yescharacteristic
778C2×C4×C59C22×D411yescharacteristic
779C2×C4×C59C22×D411yescharacteristic
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×C59C2511yescharacteristic
787C22⋊D59—42no—
788C22⋊D59—81no—
789C22⋊D59—81no—
790C22⋊D59—81no—
791C22⋊D59—81no—
792C22⋊D59—81no—
793C22⋊D59—81no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797D236—21no—
798D236—21no—
799D236—21no—
800D236—21no—
801D236—21no—
802D236—21no—
803D236—21no—
804D236—21no—
805D236—21no—
806D236—21no—
807D236—42no—
808D236—42no—
809D236—81no—
810D236—81no—
811D236—81no—
812D236—81no—
813D236—81no—
814D236—81no—
815D236—81no—
816D236—81no—
817D236—81no—
818D236—81no—
819D236—81no—
820D236—81no—
821D236—81no—
822D236—81no—
823C4×D59—42no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827C4×D59—81no—
828C4×D59—81no—
829C4×D59—81no—
830Dic118—21no—
831Dic118—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835C59⋊C8—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62079—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—21no—
848C22×C59—21no—
849C22×C59—21no—
850C22×C59—22no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—162no—
857C22×C59C23×D411yescharacteristic
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—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—162no—
874C2×D59—162no—
875C2×D59—162no—
876C2×D59—162no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—21no—
882C4×C59—21no—
883C4×C59—21no—
884C4×C59—21no—
885C4×C59—21no—
886C4×C59—21no—
887C4×C59—21no—
888C4×C59—41no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894C4×C59C2×H(5,𝔽2)11yescharacteristic
895C4×C59#58511yescharacteristic
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899#3543—591no—
900#3521D5911yescharacteristic, complemented
901#3401—591no—
902#3397—591no—
903#3370—591no—
904#3366—591no—
905#3324—591no—
906#3322—591no—
907#3318—591no—
908#3317—591no—
909#3311—591no—
910#3310—591no—
911#3273—591no—
912#3272—591no—
913#3268—591no—
914#3267—591no—
915#3264—591no—
916#3264—591no—
917#3260—591no—
918#3257—591no—
919#3256—591no—
920#3224—591no—
921#3222—591no—
922#3217—591no—
923#3122—591no—
924#3119—591no—
925#3111—591no—
926#3045—591no—
927#3041—591no—
928#3038—591no—
929#2995—591no—
930C2×C59—41no—
931C2×C59—41no—
932C2×C59—41no—
933C2×C59—42no—
934C2×C59—81no—
935C2×C59#348811yescharacteristic
936C2×C59#358511yescharacteristic
937C2×C59#358511yescharacteristic
938D59—81no—
939D59—81no—
940D59—81no—
941D59—81no—
942D59—81no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×AGL(1,ℤ/8)—591no—
947C2×#135—591no—
948C22×D8—591no—
949#560—1181no—
950#560—1181no—
951#559—591no—
952#556C2×D5911yescharacteristic, complemented
953#556C2×D5911yescharacteristic, complemented
954#554C2×D5911yescharacteristic, complemented
955#553—21no—
956#553C2×D5911yescharacteristic, complemented
957#552—21no—
958#552C2×D5911yescharacteristic, complemented
959#551—21no—
960#551—21no—
961#550—591no—
962#550—591no—
963#547C2×D5911yescharacteristic, complemented
964#546—591no—
965#546—591no—
966#546—1181no—
967#546C2×D5911yescharacteristic, complemented
968#546C2×D5911yescharacteristic, complemented
969D42—591no—
970D42—591no—
971D42—591no—
972D42—1181no—
973#542C2×D5911yescharacteristic, complemented
974#541C2×D5911yescharacteristic, complemented
975#540—591no—
976#540—591no—
977#540—1181no—
978#539—21no—
979#538—21no—
980#535—591no—
981#535—591no—
982#535—1181no—
983#534—1181no—
984#534—1181no—
985C2×#127—591no—
986#529—21no—
987#529—591no—
988#529C2×D5911yescharacteristic
989#529C2×D5911yescharacteristic, complemented
990C2×#126—21no—
991#520C2×D5911yescharacteristic, complemented
992#518C2×D5911yescharacteristic, complemented
993C4×#41C2×D5911yescharacteristic, complemented
994#497—591no—
995#496—591no—
996#496—591no—
997#496—591no—
998#495—591no—
999#492—591no—
1000#490—591no—
1001#490—591no—
1002#490—591no—
1003#489—591no—
1004#488—591no—
1005#486—591no—
1006#485—591no—
1007#482—591no—
1008#482—591no—
1009#482—591no—
1010#481—591no—
1011#480—591no—
1012#479—591no—
1013#479—591no—
1014#479—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#478—591no—
1020#476—591no—
1021#474—591no—
1022#470—591no—
1023#469—591no—
1024#469—591no—
1025#468—591no—
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#468—591no—
1030#466—591no—
1031#465—591no—
1032#465—591no—
1033#465—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#461—591no—
1047#461—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#460—591no—
1054#460—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#459—591no—
1064#452—591no—
1065#452—591no—
1066#452—591no—
1067#452—591no—
1068#450—591no—
1069#450—591no—
1070#450—591no—
1071#450—591no—
1072#450—591no—
1073#449—591no—
1074#449—591no—
1075#449—591no—
1076#449—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#447—591no—
1082#446—591no—
1083#446—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442—591no—
1088#441—591no—
1089#440—591no—
1090#440—591no—
1091#440—591no—
1092C4×SD16—591no—
1093C4×D8—591no—
1094C4×D8—591no—
1095C4×D8—591no—
1096#436—591no—
1097#436—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#435—591no—
1102#433—591no—
1103#433—591no—
1104#432—591no—
1105#424—591no—
1106#424—591no—
1107#423—591no—
1108#418—591no—
1109#418—591no—
1110#418—591no—
1111#417—591no—
1112#416—591no—
1113C2×#102—591no—
1114C59#6207911yescharacteristic, complemented, Sylow
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—1181no—
1118C2×#41C22×D5911yescharacteristic
1119C2×#41C22×D5911yescharacteristic
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C22×D4—1181no—
1129C22×D4C22×D5911yescharacteristic
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133AGL(1,ℤ/8)—2362no—
1134#135—2362no—
1135C2×Q16—591no—
1136C2×Q16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—591no—
1145C2×SD16—591no—
1146C2×SD16—591no—
1147C2×SD16—591no—
1148C2×SD16—591no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—591no—
1158C2×D8—591no—
1159C2×D8—2362no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C2×M16—591no—
1164C22×C8—591no—
1165C22×C8—591no—
1166C4⋊Q8C22×D5911yescharacteristic
1167C4⋊Q8C22×D5911yescharacteristic
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—591no—
1174#127—1181no—
1175#127—1181no—
1176#127—1181no—
1177#126—21no—
1178#126—21no—
1179#126—21no—
1180#126—21no—
1181#126—21no—
1182#126—21no—
1183#126—21no—
1184#126—21no—
1185#126—21no—
1186#126—21no—
1187#126—1181no—
1188#126C22⋊D5911yescharacteristic
1189#126C22⋊D5911yescharacteristic
1190#125—21no—
1191#125—21no—
1192#125—21no—
1193#125—591no—
1194#125C22⋊D5911yescharacteristic
1195#125C22×D5911yescharacteristic
1196#125C22×D5911yescharacteristic
1197#124—21no—
1198#124—21no—
1199#124—591no—
1200#124—591no—
1201#124—591no—
1202#124—1181no—
1203#124C22⋊D5911yescharacteristic
1204#124C22×D5911yescharacteristic
1205#124C22×D5911yescharacteristic
1206#123—21no—
1207#123—21no—
1208#123—21no—
1209#123—21no—
1210#123—21no—
1211#123—21no—
1212#123—21no—
1213#123—21no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123C22⋊D5911yescharacteristic
1224#123C22⋊D5911yescharacteristic
1225C22⋊Q8—21no—
1226C22⋊Q8—21no—
1227C22⋊Q8—21no—
1228C22⋊Q8—21no—
1229C22⋊Q8—21no—
1230C22⋊Q8—591no—
1231C22⋊Q8C22⋊D5911yescharacteristic
1232C22⋊Q8C22×D5911yescharacteristic
1233C22⋊Q8C22×D5911yescharacteristic
1234C22⋊Q8C22×D5911yescharacteristic
1235C22⋊Q8C22×D5911yescharacteristic
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
1244#121—591no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121C22⋊D5911yescharacteristic
1264#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
1266#120—21no—
1267#120—21no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280C4×Q8—21no—
1281C4×Q8—591no—
1282C4×Q8C22×D5911yescharacteristic
1283C4×Q8C22×D5911yescharacteristic
1284C4×Q8C22×D5911yescharacteristic
1285C4×Q8C22×D5911yescharacteristic
1286C4×Q8C22×D5911yescharacteristic
1287C4×D4—21no—
1288C4×D4—21no—
1289C4×D4—21no—
1290C4×D4—21no—
1291C4×D4—21no—
1292C4×D4—21no—
1293C4×D4—21no—
1294C4×D4—21no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—591no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4C22×D5911yescharacteristic
1304C4×D4C22×D5911yescharacteristic
1305C4×D4C22×D5911yescharacteristic
1306C4×D4C22×D5911yescharacteristic
1307C4×D4C22×D5911yescharacteristic
1308C4×D4C22×D5911yescharacteristic
1309C4×D4C22×D5911yescharacteristic
1310C4×D4C22×D5911yescharacteristic
1311C4×D4C22×D5911yescharacteristic
1312#117—21no—
1313#117—21no—
1314#117—21no—
1315#117—21no—
1316#117—21no—
1317#117—1181no—
1318#117C22×D5911yescharacteristic
1319#117C22×D5911yescharacteristic
1320#117C22×D5911yescharacteristic
1321#117C22×D5911yescharacteristic
1322C2×C4⋊C4—21no—
1323C2×C4⋊C4—21no—
1324C2×C4⋊C4—21no—
1325C2×C4⋊C4C22×D5911yescharacteristic
1326C2×C22⋊C4—21no—
1327C2×C22⋊C4—21no—
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—21no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42—21no—
1333C2×C42C22×D5911yescharacteristic
1334#107—591no—
1335#107—591no—
1336#107—591no—
1337#107—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341#106—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
1350C4⋊C8—591no—
1351C4⋊C8—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389C22⋊C8—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393#97—591no—
1394C4×C8—591no—
1395C4×C8—591no—
1396C24—21no—
1397C24—1181no—
1398C24—1181no—
1399C24—1181no—
1400C24—1181no—
1401#41—22no—
1402#41—22no—
1403#41—41no—
1404#41—41no—
1405#41—4722no—
1406#41—2361no—
1407#41—2361no—
1408#41—2361no—
1409#41—2361no—
1410C2×Q8—21no—
1411C2×Q8—591no—
1412C2×Q8C2×C22⋊D5911yescharacteristic
1413C2×Q8C23×D5911yescharacteristic
1414C2×Q8C23×D5911yescharacteristic
1415C2×D4—22no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—41no—
1422C2×D4—591no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—1181no—
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—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—4722no—
1451C2×D4—4722no—
1452C2×D4—4722no—
1453C2×D4—4722no—
1454C2×D4—4722no—
1455C2×D4—2361no—
1456C2×D4—2361no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4C2×C22⋊D5911yescharacteristic
1464C2×D4C2×C22⋊D5911yescharacteristic
1465C2×D4C2×C22⋊D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—21no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4C2×C22⋊D5911yescharacteristic
1485C22×C4C2×C22⋊D5911yescharacteristic
1486C22×C4C23×D5911yescharacteristic
1487C22×C4C23×D5911yescharacteristic
1488C22×C4C23×D5911yescharacteristic
1489Q16—2361no—
1490Q16—2361no—
1491SD16—1182no—
1492SD16—2361no—
1493SD16—2361no—
1494SD16—2361no—
1495SD16—2361no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503D8—1182no—
1504D8—1182no—
1505D8—1182no—
1506D8—1182no—
1507D8—1182no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513M16—2361no—
1514M16—2361no—
1515M16—2361no—
1516M16—2361no—
1517C2×C8—591no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—591no—
1523C2×C8—591no—
1524C2×C8—591no—
1525C2×C8—2361no—
1526C2×C8—2361no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—21no—
1534C4⋊C4—21no—
1535C4⋊C4—21no—
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4C2×C22⋊D5911yescharacteristic
1550C4⋊C4C2×C22⋊D5911yescharacteristic
1551C4⋊C4C2×C22⋊D5911yescharacteristic
1552C4⋊C4C2×C22⋊D5911yescharacteristic
1553C4⋊C4C2×C22⋊D5911yescharacteristic
1554C4⋊C4C2×C22⋊D5911yescharacteristic
1555C4⋊C4C2×C22⋊D5911yescharacteristic
1556C4⋊C4C2×C22⋊D5911yescharacteristic
1557C4⋊C4C2×C22⋊D5911yescharacteristic
1558C4⋊C4C2×C22⋊D5911yescharacteristic
1559C4⋊C4C23×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C4⋊C4C23×D5911yescharacteristic
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4C2×C22⋊D5911yescharacteristic
1599C22⋊C4C2×C22⋊D5911yescharacteristic
1600C22⋊C4C2×C22⋊D5911yescharacteristic
1601C22⋊C4C2×C22⋊D5911yescharacteristic
1602C22⋊C4C2×C22⋊D5911yescharacteristic
1603C22⋊C4C2×C22⋊D5911yescharacteristic
1604C22⋊C4C2×C22⋊D5911yescharacteristic
1605C22⋊C4C2×C22⋊D5911yescharacteristic
1606C22⋊C4C2×C22⋊D5911yescharacteristic
1607C22⋊C4C2×C22⋊D5911yescharacteristic
1608C42—21no—
1609C42—21no—
1610C42—21no—
1611C42—21no—
1612C42—21no—
1613C42—21no—
1614C42—1181no—
1615C42C2×C22⋊D5911yescharacteristic
1616C42C2×C22⋊D5911yescharacteristic
1617C42C23×D5911yescharacteristic
1618C42C23×D5911yescharacteristic
1619C42C23×D5911yescharacteristic
1620C42C23×D5911yescharacteristic
1621C23—21no—
1622C23—21no—
1623C23—42no—
1624C23—81no—
1625C23—81no—
1626C23—1181no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—1181no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—4721no—
1641C23—2362no—
1642C23—2362no—
1643C23C22×C22⋊D5911yescharacteristic
1644C23C22×C22⋊D5911yescharacteristic
1645C23C22×C22⋊D5911yescharacteristic
1646Q8—21no—
1647Q8—21no—
1648Q8—21no—
1649Q8—21no—
1650Q8—41no—
1651Q8—81no—
1652Q8—1181no—
1653Q8—1181no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—41no—
1658D4—41no—
1659D4—41no—
1660D4—42no—
1661D4—42no—
1662D4—42no—
1663D4—81no—
1664D4—81no—
1665D4—1181no—
1666D4—1181no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—1181no—
1672D4—1181no—
1673D4—1181no—
1674D4—1181no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—4721no—
1692D4—4721no—
1693D4—4721no—
1694D4—4721no—
1695D4—2362no—
1696D4—2362no—
1697D4—2362no—
1698D4#1427377312yes—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—42no—
1714C2×C4—42no—
1715C2×C4—81no—
1716C2×C4—81no—
1717C2×C4—81no—
1718C2×C4—81no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—81no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—2362no—
1732C2×C4C22×C22⋊D5911yescharacteristic
1733C2×C4C22×C22⋊D5911yescharacteristic
1734C2×C4C22×C22⋊D5911yescharacteristic
1735C2×C4C22×C22⋊D5911yescharacteristic
1736C2×C4C22×C22⋊D5911yescharacteristic
1737C2×C4C22×C22⋊D5911yescharacteristic
1738C2×C4C22×C22⋊D5911yescharacteristic
1739C2×C4C22×C22⋊D5911yescharacteristic
1740C2×C4C22×C22⋊D5911yescharacteristic
1741C2×C4C22×C22⋊D5911yescharacteristic
1742C2×C4C22×C22⋊D5911yescharacteristic
1743C2×C4C24×D5911yescharacteristic
1744C8—1181no—
1745C8—1181no—
1746C8—1181no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C8—1181no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—22no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—162no—
1768C22—9442no—
1769C22—9442no—
1770C22—9442no—
1771C22—9442no—
1772C22—2361no—
1773C22—2361no—
1774C22—2361no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22C23×C22⋊D5911yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—21no—
1795C4—21no—
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4C2×#1427377311yescharacteristic
1809C4#1683823811yescharacteristic
1810C2—41no—
1811C2—41no—
1812C2—41no—
1813C2—42no—
1814C2—81no—
1815C2—4721no—
1816C2—4721no—
1817C2—4721no—
1818C2—4721no—
1819C2—4721no—
1820C2#2143776511yescharacteristic
1821C2#2143887511yescharacteristic
1822C2#2143887511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3521C2
socleC22×C59C23×D4
hypercenter#3521D59
hypocenterC59#62079
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #3521

Complements

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

NH ≅ G/Ntype
1. #21438426C2semidirect
2. #21437162C2semidirect
3. #21437116C2semidirect
4. #21436849C2semidirect
5. #21436803C2semidirect
6. #21436321C2semidirect
7. #21436291C2semidirect
8. #21436231C2semidirect
9. #21436216C2semidirect
10. #21436126C2semidirect
11. #21436111C2semidirect
12. #21435703C2semidirect
13. #21435696C2semidirect
14. #21435632C2semidirect
15. #21435622C2semidirect
16. #21435577C2semidirect
17. #21435577C2semidirect
18. #21435537C2semidirect
19. #21435507C2semidirect
20. #21435492C2semidirect
21. #21435184C2semidirect
22. #21435162C2semidirect
23. #21435111C2semidirect
24. #21434339C2semidirect
25. #21434295C2semidirect
26. #21434205C2semidirect
27. #21433635C2semidirect
28. #21433599C2semidirect
29. #21433576C2semidirect
30. #21433266C2semidirect
31. C59×#3521C2semidirect
32. C2×#14273753C22semidirect
33. C2×#14273752C22semidirect
34. C2×#14273752C22semidirect
35. C2×#14273752C22semidirect
36. C2×#14273747C22semidirect
37. C22×#11745669C22semidirect
40. #16838137C22semidirect
41. #16838074C22semidirect
44. #16838048C22semidirect
48. D4×D236C22semidirect
52. #16838007C22semidirect
54. #16837971C22semidirect
58. C2×#14273724C22semidirect
59. #16837936C22semidirect
60. #16837794C22semidirect
62. #16837792C22semidirect
63. #16837792C22semidirect
64. #16837784C22semidirect
65. #16837776C22semidirect
66. #16837768C22semidirect
67. #16837768C22semidirect
68. #16837768C22semidirect
69. #16837764C22semidirect
70. #16837759C22semidirect
71. #16837750C22semidirect
72. #16837743C22semidirect
73. #16837726C22semidirect
74. #16837726C22semidirect
75. #16837726C22semidirect
76. #16837720C22semidirect
77. #16837715C22semidirect
78. #16837709C22semidirect
79. #16837709C22semidirect
80. #16837706C22semidirect
81. #16837702C22semidirect
82. #16837702C22semidirect
83. #16837699C22semidirect
84. #16837699C22semidirect
85. #16837699C22semidirect
86. #16837689C22semidirect
87. #16837679C22semidirect
88. #16837658C22semidirect
90. #16837653C22semidirect
91. #16837650C22semidirect
92. #16837650C22semidirect
93. #16837650C22semidirect
94. #16837650C22semidirect
95. #16837646C22semidirect
96. #16837636C22semidirect
97. #16837633C22semidirect
98. #16837633C22semidirect
99. #16837633C22semidirect
100. #16837624C22semidirect
101. #16837624C22semidirect
102. #16837624C22semidirect
103. #16837621C22semidirect
104. #16837617C22semidirect
105. #16837617C22semidirect
106. #16837617C22semidirect
107. #16837617C22semidirect
108. #16837617C22semidirect
109. #16837614C22semidirect
110. #16837614C22semidirect
111. #16837614C22semidirect
112. #16837604C22semidirect
113. #16837604C22semidirect
114. #16837602C22semidirect
115. #16837602C22semidirect
116. #16837602C22semidirect
117. #16837602C22semidirect
118. #16837602C22semidirect
119. #16837602C22semidirect
120. #16837602C22semidirect
122. #16837597C22semidirect
123. #16837597C22semidirect
124. #16837597C22semidirect
125. #16837597C22semidirect
126. #16837597C22semidirect
127. #16837597C22semidirect
128. #16837597C22semidirect
129. #16837597C22semidirect
130. #16837564C22semidirect
131. #16837562C22semidirect
132. #16837562C22semidirect
133. #16837562C22semidirect
134. #16837552C22semidirect
135. #16837552C22semidirect
136. #16837552C22semidirect
137. #16837552C22semidirect
138. #16837552C22semidirect
140. #16837547C22semidirect
141. #16837547C22semidirect
142. #16837545C22semidirect
143. #16837536C22semidirect
144. #16837536C22semidirect
145. #16837535C22semidirect
146. #16837535C22semidirect
147. #16837535C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
150. #16837512C22semidirect
151. #16837512C22semidirect
152. #16837512C22semidirect
153. #16837512C22semidirect
154. #16837507C22semidirect
155. #16837502C22semidirect
156. #16837500C22semidirect
157. #16837500C22semidirect
158. C4×#11745671C22semidirect
159. C4×#11745669C22semidirect
160. C4×#11745669C22semidirect
161. C4×#11745669C22semidirect
162. #16837480C22semidirect
163. #16837480C22semidirect
164. #16837474C22semidirect
165. #16837474C22semidirect
166. #16837474C22semidirect
167. #16837474C22semidirect
168. #16837463C22semidirect
169. #16837463C22semidirect
170. #16837459C22semidirect
171. #16837429C22semidirect
172. #16837429C22semidirect
173. #16837426C22semidirect
174. #16837406C22semidirect
175. #16837406C22semidirect
176. #16837406C22semidirect
177. #16837401C22semidirect
178. #16837396C22semidirect
179. C2×#14273647C22semidirect
180. C59×#556C22semidirect
181. C59×#556C22semidirect
182. C59×#554C22semidirect
184. C59×#553C22semidirect
186. C59×#552C22semidirect
189. C59×#547C22semidirect
190. C59×#546C22semidirect
191. C59×#546C22semidirect
192. C59×#542C22semidirect
193. C59×#541C22semidirect
198. C59×#529C22semidirect
200. C59×#520C22semidirect
201. C59×#518C22semidirect
202. C4×#41×C59C22semidirect
900. #3521D59semidirect
952. #556C2×D59semidirect
953. #556C2×D59semidirect
954. #554C2×D59semidirect
956. #553C2×D59semidirect
958. #552C2×D59semidirect
963. #547C2×D59semidirect
967. #546C2×D59semidirect
968. #546C2×D59semidirect
973. #542C2×D59semidirect
974. #541C2×D59semidirect
989. #529C2×D59semidirect
991. #520C2×D59semidirect
992. #518C2×D59semidirect
993. C4×#41C2×D59semidirect
1114. C59#62079semidirect

Maximal subgroups

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

subgroupindex
#214384262
#214371622
#214371162
#214368492
#214368032
#214363212
#214362912
#214362312
#214362162
#214361262
#214361112
#214357032
#214356962
#214356322
#214356222
#214355772
#214355372
#214355072
#214354922
#214351842
#214351622
#214351112
#214343392
#214342952
#214342052
#214336352
#214335992
#214335762
#214332662
C59×#35212
#6207959