Finite Group Databasebeta

← #29482216

Subgroups — #29482216

Order 15104.

1902 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#21438662C211yesmaximal, characteristic, complemented
2#21438124C211yesmaximal, characteristic, complemented
3#21437117C211yesmaximal, characteristic, complemented
4#21437115C211yesmaximal, characteristic, complemented
5#21436921C211yesmaximal, characteristic, complemented
6#21436918C211yesmaximal, characteristic, complemented
7#21436283C211yesmaximal, characteristic, complemented
8#21436280C211yesmaximal, characteristic, complemented
9#21436263C211yesmaximal, characteristic, complemented
10#21435944C211yesmaximal, characteristic, complemented
11#21435940C211yesmaximal, characteristic, complemented
12D4×#11745671C211yesmaximal, characteristic, complemented
13#21435785C211yesmaximal, characteristic, complemented
14#21435598C211yesmaximal, characteristic, complemented
15#21435584C211yesmaximal, characteristic, complemented
16#21435581C211yesmaximal, characteristic, complemented
17#21435573C211yesmaximal, characteristic, complemented
18#21435513C211yesmaximal, characteristic, complemented
19#21435502C211yesmaximal, characteristic, complemented
20#21435407C211yesmaximal, characteristic, complemented
21#21435158C211yesmaximal, characteristic, complemented
22#21435153C211yesmaximal, characteristic, complemented
23#21435082C211yesmaximal, characteristic, complemented
24#21434284C211yesmaximal, characteristic, complemented
25#21434283C211yesmaximal, characteristic, complemented
26#21434192C211yesmaximal, characteristic, complemented
27#21433607C211yesmaximal, characteristic, complemented
28#21433603C211yesmaximal, characteristic, complemented
29C2×#16837620C211yesmaximal, characteristic, complemented
30#21433236C211yesmaximal, characteristic, complemented
31C59×#3320C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273754C2211yescharacteristic
34C22×#11745671C2211yescharacteristic
35C22×#11745671C2211yescharacteristic, complemented
36C2×SD16×D59C2211yescharacteristic, complemented
37C22×D472C2211yescharacteristic
38#16838151—21no—
39#16838148—21no—
40#16838126C2211yescharacteristic, complemented
41#16838124C2211yescharacteristic, complemented
42#16838115C2211yescharacteristic, complemented
43#16838108C2211yescharacteristic, complemented
44#16838103—21no—
45#16838100C2211yescharacteristic
46#16838081—21no—
47#16838079—21no—
48#16838073C2211yescharacteristic, complemented
49Q8×C22⋊D59C2211yescharacteristic, complemented
50#16838063C2211yescharacteristic, complemented
51#16838062C2211yescharacteristic, complemented
52#16838048C2211yescharacteristic, complemented
53#16838047—21no—
54#16838044—21no—
55#16838043C2211yescharacteristic, complemented
56#16838041—21no—
57D4×D236C2211yescharacteristic
58#16838036C2211yescharacteristic
59#16838036C2211yescharacteristic, complemented
60#16838027—21no—
61#16838026—21no—
62#16838025C2211yescharacteristic, complemented
63#16838024C2211yescharacteristic, complemented
64#16838022—21no—
65#16838008C2211yescharacteristic, complemented
66#16838005C2211yescharacteristic, complemented
67#16837991—21no—
68#16837988—21no—
69#16837985—21no—
70#16837977C2211yescharacteristic, complemented
71#16837976C2211yescharacteristic, complemented
72#16837954C2211yescharacteristic, complemented
73#16837947C2211yescharacteristic
74#16837932C2211yescharacteristic
75C2×#14273716C2211yescharacteristic, complemented
76#16837911—21no—
77#121×D59—21no—
78#16837876C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic, complemented
80C2×#14273689C2211yescharacteristic
81#16837791C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837788C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837776C2211yescharacteristic, complemented
86#16837773C2211yescharacteristic, complemented
87#16837769C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837763C2211yescharacteristic, complemented
90#16837759C2211yescharacteristic, complemented
91#16837758C2211yescharacteristic, complemented
92#16837741C2211yescharacteristic, complemented
93#16837737C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837707C2211yescharacteristic, complemented
97#16837705C2211yescharacteristic, complemented
98#16837699C2211yescharacteristic, complemented
99#16837691C2211yescharacteristic, complemented
100#16837690C2211yescharacteristic, complemented
101#16837686C2211yescharacteristic, complemented
102#16837685C2211yescharacteristic, complemented
103#16837681C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic, complemented
106#16837655C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837639C2211yescharacteristic, complemented
109#16837636C2211yescharacteristic, complemented
110#16837634C2211yescharacteristic, complemented
111#16837633C2211yescharacteristic, complemented
112#16837633C2211yescharacteristic, complemented
113#16837631C2211yescharacteristic, complemented
114#16837629C2211yescharacteristic, complemented
115#16837620C2211yescharacteristic
116#16837620C2211yescharacteristic
117#16837620C2211yescharacteristic
118#16837620C2211yescharacteristic
119#16837620C2211yescharacteristic
120#16837620C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837620C2211yescharacteristic, complemented
124#16837620C2211yescharacteristic, complemented
125#16837620C2211yescharacteristic, complemented
126#16837620C2211yescharacteristic, complemented
127#16837619C2211yescharacteristic, complemented
128#16837619C2211yescharacteristic, complemented
129#16837618C2211yescharacteristic
130#16837617C2211yescharacteristic, complemented
131#16837606C2211yescharacteristic, complemented
132#16837606C2211yescharacteristic, complemented
133#16837606C2211yescharacteristic, complemented
134#16837606C2211yescharacteristic, complemented
135#16837606C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837604C2211yescharacteristic, complemented
138#16837602C2211yescharacteristic, complemented
139#16837601C2211yescharacteristic, complemented
140#16837600C2211yescharacteristic, complemented
141#16837600C2211yescharacteristic, complemented
142#16837598C2211yescharacteristic, complemented
143#16837596C2211yescharacteristic, complemented
144#16837555C2211yescharacteristic
145#16837552C2211yescharacteristic
146#16837552C2211yescharacteristic, complemented
147#16837551C2211yescharacteristic, complemented
148#16837550C2211yescharacteristic, complemented
149#16837550C2211yescharacteristic, complemented
150#16837549C2211yescharacteristic, complemented
151#16837545C2211yescharacteristic, complemented
152#16837542C2211yescharacteristic, complemented
153#16837542C2211yescharacteristic, complemented
154#16837541C2211yescharacteristic, complemented
155#16837541C2211yescharacteristic, complemented
156#16837538C2211yescharacteristic
157#16837538C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic
159#16837535C2211yescharacteristic, complemented
160#16837530C2211yescharacteristic, complemented
161#16837529C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic
163#16837513C2211yescharacteristic
164#16837505C2211yescharacteristic, complemented
165#16837505C2211yescharacteristic, complemented
166#16837505C2211yescharacteristic, complemented
167#16837501C2211yescharacteristic, complemented
168#16837501C2211yescharacteristic, complemented
169C4×#11745671C2211yescharacteristic, complemented
170#16837487C2211yescharacteristic, complemented
171#16837484C2211yescharacteristic, complemented
172C4×#11745669C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837471C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176D4×C59⋊C8C2211yescharacteristic, complemented
177(C22⋊D59)⋊C8C2211yescharacteristic, complemented
178#16837464C2211yescharacteristic, complemented
179#16837460C2211yescharacteristic, complemented
180#16837456C2211yescharacteristic, complemented
181#16837430C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183C2×Dic59⋊C8C2211yescharacteristic, complemented
184#16837409C2211yescharacteristic, complemented
185#16837397C2211yescharacteristic, complemented
186#16837396C2211yescharacteristic, complemented
187C2×#14273647C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic
189D4×Q8×C59C2211yescharacteristic, complemented
190C59×#491C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#484C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#448C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×Q8×D59C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C2×D4×D59—21no—
212C2×D4×D59—21no—
213C2×D4×D59—21no—
214C2×D4×D59C2311yescharacteristic
215C22×C4×D59—21no—
216#14273755—42no—
217#14273754—42no—
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745671—42no—
223C2×#11745671—42no—
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233SD16×D59—42no—
234C2×D472—42no—
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×D472C2311yescharacteristic
240C2×D472C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245C22×C59⋊C8C2311yescharacteristic
246C2×C8×D59C2311yescharacteristic
247#14273726C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273725—21no—
250#14273725C2311yescharacteristic
251#14273725C2311yescharacteristic
252#14273724C2311yescharacteristic
253#14273723C2311yescharacteristic
254#14273723C2311yescharacteristic
255#14273722—21no—
256#14273722—21no—
257#14273722—21no—
258#14273722—21no—
259#14273722—21no—
260#14273722D411yescharacteristic
261#14273721—21no—
262#14273721—21no—
263#14273720D411yescharacteristic
264#14273718C2311yescharacteristic
265#14273717—21no—
266#14273717D411yescharacteristic
267#14273716—21no—
268#14273716—21no—
269#14273716—21no—
270#14273716C2311yescharacteristic
271#14273716C2311yescharacteristic
272#14273716C2311yescharacteristic
273#14273716C2311yescharacteristic
274#14273716C2311yescharacteristic
275#14273715—21no—
276#14273715—21no—
277#14273715C2311yescharacteristic
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713D411yescharacteristic
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273711—21no—
292#14273711D411yescharacteristic
293#14273710—21no—
294#14273710—21no—
295#14273709—21no—
296#14273709—21no—
297#14273708D411yescharacteristic
298#14273707—21no—
299#14273707—21no—
300#14273707—21no—
301#14273706—21no—
302#14273706C2311yescharacteristic
303#14273705—21no—
304#14273705—21no—
305#14273705—21no—
306#14273705—21no—
307#14273705—21no—
308#14273705—21no—
309#14273705—21no—
310#14273704—21no—
311#14273704D411yescharacteristic
312#14273703—21no—
313#14273703—21no—
314#14273703—21no—
315#14273703—21no—
316#14273703C2311yescharacteristic
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702—21no—
321#14273702C2311yescharacteristic
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273701—21no—
325#14273701—21no—
326#14273701—21no—
327#14273701C2311yescharacteristic
328#14273701C2311yescharacteristic
329#14273701C2311yescharacteristic
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699D411yescharacteristic
340#14273698—21no—
341#14273697—21no—
342#14273697—21no—
343#14273697—21no—
344#14273697—21no—
345#14273697—21no—
346#14273695—21no—
347#14273695—21no—
348#14273695—21no—
349Q8×Dic59C2311yescharacteristic
350Q8×Dic59C2311yescharacteristic
351C4×Dic118C2311yescharacteristic
352#14273692—21no—
353#14273692C2311yescharacteristic
354C4×D236—21no—
355C4×D236—21no—
356C4×D236C2311yescharacteristic
357C4×D236C2311yescharacteristic
358D4×Dic59C2311yescharacteristic
359#14273689—21no—
360#14273689—21no—
361#14273689—21no—
362#14273689C2311yescharacteristic
363#14273689C2311yescharacteristic
364#14273689C2311yescharacteristic
365#14273689C2311yescharacteristic
366#14273689C2311yescharacteristic
367#14273689C2311yescharacteristic
368#14273689C2311yescharacteristic
369#14273689C2311yescharacteristic
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378#14273686C2311yescharacteristic
379#14273685—21no—
380#14273685C2311yescharacteristic
381#14273684—21no—
382#14273684—21no—
383#14273684C2311yescharacteristic
384#14273683—21no—
385C4⋊C4×D59—21no—
386C2×(C2×D59)⋊C4—21no—
387C2×(C2×D59)⋊C4—21no—
388C2×(C2×D59)⋊C4—21no—
389C2×(C2×D59)⋊C4—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C2×C4×Dic59C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C4×C59⋊C8C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C22×Q8×C59C2311yescharacteristic
442C22×Q8×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×M16×C59C2311yescharacteristic
447C22×C8×C59C2311yescharacteristic
448C4⋊Q8×C59—21no—
449C4⋊Q8×C59C2311yescharacteristic
450#126×C59—21no—
451#125×C59C2311yescharacteristic
452#123×C59—21no—
453C22⋊Q8×C59—21no—
454C22⋊Q8×C59—21no—
455C22⋊Q8×C59C2311yescharacteristic
456C22⋊Q8×C59C2311yescharacteristic
457#121×C59—21no—
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460C4×Q8×C59C2311yescharacteristic
461C4×D4×C59—21no—
462C4×D4×C59—21no—
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465#117×C59C2311yescharacteristic
466C2×C4⋊C4×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C2×Q8×C59—21no—
489C2×Q8×C59—21no—
490C2×Q8×C59—41no—
491C2×Q8×C59—41no—
492C2×Q8×C59—41no—
493C2×Q8×C59—41no—
494C2×Q8×C59C2411yescharacteristic
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59C2×D411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59C2411yescharacteristic
506C22×C4×C59C2411yescharacteristic
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59C2×D411yescharacteristic
517C2×C22⋊D59C2×D411yescharacteristic
518C22×Dic59—21no—
519C22×Dic59C2×D411yescharacteristic
520C22×Dic59C2×D411yescharacteristic
521#11745689—41no—
522#11745689—41no—
523Q8×D59—41no—
524Q8×D59—41no—
525#11745687—82no—
526D4×D59—22no—
527D4×D59—41no—
528D4×D59—82no—
529D4×D59—82no—
530D4×D59—82no—
531#11745685—41no—
532#11745685—41no—
533#11745685—82no—
534C2×D236—22no—
535C2×D236—22no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—41no—
546C2×D236—41no—
547C2×D236—41no—
548C2×D236—41no—
549C2×D236C2411yescharacteristic
550C2×D236C2411yescharacteristic
551C2×D236C2411yescharacteristic
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—82no—
568C2×C4×D59C2411yescharacteristic
569C2×Dic118—21no—
570C2×Dic118—21no—
571C2×Dic118—21no—
572C2×Dic118C2×D411yescharacteristic
573C2×Dic118C2411yescharacteristic
574SD16×C59—41no—
575SD16×C59—41no—
576SD16×C59—41no—
577M16×C59—41no—
578C2×C8×C59—41no—
579C2×C8×C59C2411yescharacteristic
580C2×C8×C59C2411yescharacteristic
581C2×C8×C59C2411yescharacteristic
582C2×C8×C59C2411yescharacteristic
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×C59C2×D411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
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×C59C2×D411yescharacteristic
603C22⋊C4×C59C2×D411yescharacteristic
604C42×C59—21no—
605C42×C59—21no—
606C42×C59C2411yescharacteristic
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59C2×D411yescharacteristic
610C22⋊Dic59C2×D411yescharacteristic
611C22⋊Dic59C2×D411yescharacteristic
612C22⋊Dic59C2×D411yescharacteristic
613#11745671—22no—
614#11745671—22no—
615#11745671—22no—
616#11745671—41no—
617#11745671—41no—
618#11745671—41no—
619#11745671—41no—
620#11745671—41no—
621#11745671—41no—
622#11745670—41no—
623#11745669—41no—
624#11745669—41no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59C2×D411yescharacteristic
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C4×Dic59C2411yescharacteristic
692C2×C59⋊C8—41no—
693C2×C59⋊C8—41no—
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698D472—22no—
699D472—22no—
700D472—41no—
701D472—41no—
702D472—41no—
703D472—41no—
704#11745660—22no—
705#11745660—41no—
706#11745660—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59C22×D411yescharacteristic
711C23×C59C22×D411yescharacteristic
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—21no—
735Q8×C59—21no—
736Q8×C59—81no—
737Q8×C59—81no—
738D4×C59—22no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—42no—
742D4×C59—81no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—81no—
755C2×C4×C59—81no—
756C2×C4×C59—81no—
757C2×C4×C59—81no—
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C2511yescharacteristic
763C22⋊D59—22no—
764C22⋊D59—41no—
765C22⋊D59—42no—
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C2×Dic59—22no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—41no—
779C2×Dic59—81no—
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787D236—21no—
788D236—21no—
789D236—21no—
790D236—21no—
791D236—21no—
792D236—21no—
793D236—21no—
794D236—21no—
795D236—21no—
796D236—42no—
797D236—42no—
798D236—81no—
799D236—81no—
800D236—81no—
801D236—81no—
802D236—81no—
803D236—81no—
804D236—81no—
805D236H(5,𝔽2)12yes—
806C4×D59—21no—
807C4×D59—21no—
808C4×D59—42no—
809C4×D59—42no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813C4×D59—81no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821Dic118—21no—
822Dic118—21no—
823Dic118—41no—
824Dic118—81no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#62016—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—21no—
839C22×C59—21no—
840C22×C59—21no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59#57712yes—
845C22×C59C23×D411yescharacteristic
846C2×D59—21no—
847C2×D59—21no—
848C2×D59—22no—
849C2×D59—21no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—84no—
865C2×D59—162no—
866C2×D59—162no—
867C2×D59—162no—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59—41no—
879C4×C59C2×H(5,𝔽2)11yescharacteristic
880C4×C59#58511yescharacteristic
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—21no—
886Dic59—21no—
887Dic59—21no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3561—591no—
892#3519—591no—
893#3397—591no—
894#3397—591no—
895#3376—591no—
896#3376—591no—
897#3321—591no—
898#3321—591no—
899#3320—591no—
900#3320D5911yescharacteristic, complemented
901#3297—591no—
902#3297—591no—
903D4×SD16—591no—
904D4×SD16—591no—
905#3265—591no—
906#3265—591no—
907#3264—591no—
908#3264—591no—
909#3257—591no—
910#3257—591no—
911#3246—591no—
912#3221—591no—
913#3221—591no—
914#3213—591no—
915#3118—591no—
916#3118—591no—
917#3110—591no—
918#3042—591no—
919#3042—591no—
920C2×#463—591no—
921#2992—591no—
922C2×C59—22no—
923C2×C59—41no—
924C2×C59—81no—
925C2×C59#348811yescharacteristic
926C2×C59C2×#57711yescharacteristic
927C2×C59#358511yescharacteristic
928D59—41no—
929D59—42no—
930D59—81no—
931D59—81no—
932D59—81no—
933D59—81no—
934C2×AGL(1,ℤ/8)—591no—
935C2×AGL(1,ℤ/8)—591no—
936C22×SD16—591no—
937C22×SD16—591no—
938C22×SD16—591no—
939C22×D8—591no—
940#563—1181no—
941#562—1181no—
942#556—591no—
943#556—591no—
944#555—591no—
945#554—591no—
946#553—591no—
947#553—1181no—
948#553C2×D5911yescharacteristic
949#551—1181no—
950#551—1181no—
951#550—591no—
952D4×Q8—591no—
953D4×Q8C2×D5911yescharacteristic, complemented
954#548—591no—
955#548—591no—
956#546—591no—
957#546—591no—
958#546—1181no—
959#546—1181no—
960#546—1181no—
961D42—591no—
962D42—591no—
963D42—591no—
964#543—1181no—
965#542—591no—
966#542—591no—
967#542—1181no—
968#542—1181no—
969#540—591no—
970#540—591no—
971#538—1181no—
972#538—1181no—
973#538—1181no—
974#536—591no—
975#536—591no—
976#533—591no—
977#532—591no—
978#529—591no—
979C2×#124—591no—
980#525—1181no—
981C2×#121—1181no—
982#518—591no—
983#518—591no—
984C2×C4×D4—591no—
985#496—591no—
986#496—591no—
987#496—591no—
988#496—591no—
989#492—591no—
990#492—591no—
991#491—591no—
992#491C2×D5911yescharacteristic, complemented
993#489—591no—
994#489—591no—
995#488—591no—
996#488—591no—
997#485—591no—
998#485C2×D5911yescharacteristic, complemented
999#484—591no—
1000#484C2×D5911yescharacteristic, complemented
1001#482—591no—
1002#482—591no—
1003#479—591no—
1004#479C2×D5911yescharacteristic, complemented
1005#478—591no—
1006#478—591no—
1007#476—591no—
1008#476—591no—
1009#475—591no—
1010#475—591no—
1011#474—591no—
1012#474—591no—
1013#469—591no—
1014#469—591no—
1015#468—591no—
1016#468C2×D5911yescharacteristic, complemented
1017#466—591no—
1018#466—591no—
1019#465—591no—
1020#465—591no—
1021#465—591no—
1022#465—591no—
1023#465—591no—
1024#465C2×D5911yescharacteristic, complemented
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—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#461—591no—
1042#461—591no—
1043#461—591no—
1044#461—591no—
1045#461—591no—
1046#461—591no—
1047#461—591no—
1048#461C2×D5911yescharacteristic, complemented
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#459—591no—
1054#459—591no—
1055#450—591no—
1056#450—591no—
1057#450—591no—
1058#450—591no—
1059#449—591no—
1060#449—591no—
1061#449—591no—
1062#449—591no—
1063#448—591no—
1064#448—591no—
1065#448—591no—
1066#448—591no—
1067#448C2×D5911yescharacteristic, complemented
1068#448C2×D5911yescharacteristic, complemented
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#440—591no—
1078#440—591no—
1079#440—591no—
1080#440—591no—
1081#440—591no—
1082#440C2×D5911yescharacteristic, complemented
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×D8—591no—
1086C4×D8—591no—
1087#435—591no—
1088#435—591no—
1089#435—591no—
1090#435C2×D5911yescharacteristic, complemented
1091C8×D4—591no—
1092C8×D4—591no—
1093#433—591no—
1094#433—591no—
1095#432—591no—
1096#424—591no—
1097#424—591no—
1098C2×C4⋊C8—591no—
1099#419—591no—
1100#419C2×D5911yescharacteristic, complemented
1101#416—591no—
1102#416—591no—
1103C2×#103C2×D5911yescharacteristic, complemented
1104C2×#102—591no—
1105C59#6201611yescharacteristic, complemented, Sylow
1106C2×#41—591no—
1107C2×#41—591no—
1108C2×#41—1181no—
1109C2×#41—1181no—
1110C22×Q8—591no—
1111C22×Q8C22×D5911yescharacteristic
1112C22×Q8C22×D5911yescharacteristic
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—1181no—
1118C22×D4—1181no—
1119C22×D4—1181no—
1120C23×C4—1181no—
1121AGL(1,ℤ/8)—2362no—
1122AGL(1,ℤ/8)—2362no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—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—2362no—
1137C2×SD16—2362no—
1138C2×SD16—2362no—
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×SD16C22×D5911yescharacteristic
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×M16C22×D5911yescharacteristic
1153C22×C8—591no—
1154C22×C8—591no—
1155C22×C8—591no—
1156C22×C8C22×D5911yescharacteristic
1157C4⋊Q8—21no—
1158C4⋊Q8—591no—
1159C4⋊Q8—591no—
1160C4⋊Q8—591no—
1161C4⋊Q8—591no—
1162C4⋊Q8—1181no—
1163C4⋊Q8C22×D5911yescharacteristic
1164#127—591no—
1165#127—591no—
1166#127—591no—
1167#126—21no—
1168#126—591no—
1169#126—591no—
1170#126—1181no—
1171#126—1181no—
1172#126—1181no—
1173#126—1181no—
1174#126—1181no—
1175#126—1181no—
1176#126—1181no—
1177#125—591no—
1178#125—591no—
1179#125—1181no—
1180#125C22×D5911yescharacteristic
1181#124—591no—
1182#124—591no—
1183#124—591no—
1184#124—591no—
1185#124—591no—
1186#124—591no—
1187#124—591no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#124—1181no—
1193#124—1181no—
1194#124—1181no—
1195#124—1181no—
1196#124—1181no—
1197#123—21no—
1198#123—591no—
1199#123—591no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—591no—
1216C22⋊Q8—591no—
1217C22⋊Q8—591no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225C22⋊Q8—1181no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8C22×D5911yescharacteristic
1235C22⋊Q8C22×D5911yescharacteristic
1236#121—21no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
1244#121—1181no—
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#121C22×D5911yescharacteristic
1262#121C22×D5911yescharacteristic
1263#120—1181no—
1264#120—1181no—
1265#120—1181no—
1266#120—1181no—
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271C4×Q8—591no—
1272C4×Q8—591no—
1273C4×Q8—591no—
1274C4×Q8—591no—
1275C4×Q8—1181no—
1276C4×Q8C22×D5911yescharacteristic
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—591no—
1280C4×D4—591no—
1281C4×D4—591no—
1282C4×D4—591no—
1283C4×D4—591no—
1284C4×D4—591no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4C22×D5911yescharacteristic
1304C4×D4C22×D5911yescharacteristic
1305#117—591no—
1306#117—591no—
1307#117—591no—
1308#117—1181no—
1309#117—1181no—
1310#117—1181no—
1311#117—1181no—
1312#117C22×D5911yescharacteristic
1313C2×C4⋊C4—1181no—
1314C2×C4⋊C4C22×D5911yescharacteristic
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×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C42—591no—
1325#107—591no—
1326#107—591no—
1327#107C22×D5911yescharacteristic
1328#107C22×D5911yescharacteristic
1329#106—591no—
1330#106—591no—
1331#106—591no—
1332#106C22×D5911yescharacteristic
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⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103C22×D5911yescharacteristic
1351#103C22×D5911yescharacteristic
1352#103C22×D5911yescharacteristic
1353#103C22×D5911yescharacteristic
1354#103C22×D5911yescharacteristic
1355#103C22×D5911yescharacteristic
1356#103C22×D5911yescharacteristic
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8C22×D5911yescharacteristic
1380C22⋊C8C22×D5911yescharacteristic
1381#97—591no—
1382#97—591no—
1383#97—591no—
1384#97C22×D5911yescharacteristic
1385C4×C8—591no—
1386C4×C8—591no—
1387C24—1181no—
1388C24—1181no—
1389C24—1181no—
1390C24—1181no—
1391#41—4722no—
1392#41—4722no—
1393#41—2361no—
1394#41—2361no—
1395#41—2361no—
1396#41—2361no—
1397C2×Q8—21no—
1398C2×Q8—21no—
1399C2×Q8—41no—
1400C2×Q8—41no—
1401C2×Q8—41no—
1402C2×Q8—41no—
1403C2×Q8—591no—
1404C2×Q8—591no—
1405C2×Q8—1181no—
1406C2×Q8—1181no—
1407C2×Q8—1181no—
1408C2×Q8—2361no—
1409C2×Q8—2361no—
1410C2×Q8C23×D5911yescharacteristic
1411C2×Q8C23×D5911yescharacteristic
1412C2×Q8C23×D5911yescharacteristic
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—591no—
1416C2×D4—591no—
1417C2×D4—591no—
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—1182no—
1423C2×D4—1182no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1182no—
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—4722no—
1444C2×D4—4722no—
1445C2×D4—4722no—
1446C2×D4—2361no—
1447C2×D4—2361no—
1448C2×D4—2361no—
1449C2×D4—2361no—
1450C2×D4—2361no—
1451C2×D4D4×D5911yescharacteristic
1452C2×D4C23×D5911yescharacteristic
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—591no—
1458C22×C4—591no—
1459C22×C4—591no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—4722no—
1475C22×C4C23×D5911yescharacteristic
1476C22×C4C23×D5911yescharacteristic
1477SD16—41no—
1478SD16—41no—
1479SD16—41no—
1480SD16—1182no—
1481SD16—1182no—
1482SD16—1182no—
1483SD16—1182no—
1484SD16—2361no—
1485SD16—2361no—
1486SD16—2361no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492SD16—2361no—
1493D8—1182no—
1494D8—1182no—
1495D8—2361no—
1496D8—2361no—
1497D8—2361no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—41no—
1502M16—2361no—
1503C2×C8—41no—
1504C2×C8—591no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—591no—
1508C2×C8—2361no—
1509C2×C8—2361no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
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—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
1528C4⋊C4—591no—
1529C4⋊C4—591no—
1530C4⋊C4—591no—
1531C4⋊C4—591no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4D4×D5911yescharacteristic
1548C4⋊C4C23×D5911yescharacteristic
1549C4⋊C4C23×D5911yescharacteristic
1550C4⋊C4C23×D5911yescharacteristic
1551C4⋊C4C23×D5911yescharacteristic
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—591no—
1559C22⋊C4—591no—
1560C22⋊C4—591no—
1561C22⋊C4—591no—
1562C22⋊C4—591no—
1563C22⋊C4—591no—
1564C22⋊C4—591no—
1565C22⋊C4—591no—
1566C22⋊C4—1181no—
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⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4D4×D5911yescharacteristic
1599C22⋊C4D4×D5911yescharacteristic
1600C42—21no—
1601C42—21no—
1602C42—591no—
1603C42—591no—
1604C42—591no—
1605C42—591no—
1606C42—591no—
1607C42—1181no—
1608C42—1181no—
1609C42—1181no—
1610C42—1181no—
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—591no—
1614C23—1181no—
1615C23—1181no—
1616C23—1181no—
1617C23—1181no—
1618C23—1181no—
1619C23—4721no—
1620C23—4721no—
1621C23—4721no—
1622C23—4721no—
1623C23—4721no—
1624C23—4721no—
1625C23—4721no—
1626C23—2362no—
1627C23—2362no—
1628C23—2362no—
1629C23—2362no—
1630C23—2362no—
1631C23C2×D4×D5911yescharacteristic
1632C23C2×D4×D5911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—81no—
1640Q8—81no—
1641Q8—1181no—
1642Q8—1181no—
1643Q8—4721no—
1644Q8—4721no—
1645Q8—4721no—
1646Q8—2361no—
1647D4—22no—
1648D4—21no—
1649D4—21no—
1650D4—42no—
1651D4—81no—
1652D4—592no—
1653D4—1182no—
1654D4—1181no—
1655D4—1181no—
1656D4—1181no—
1657D4—1181no—
1658D4—1181no—
1659D4—1181no—
1660D4—1181no—
1661D4—1181no—
1662D4—1181no—
1663D4—4721no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4—4721no—
1668D4—4721no—
1669D4—4721no—
1670D4—4721no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—2362no—
1677D4—2362no—
1678D4—2361no—
1679D4—2362no—
1680D4—2362no—
1681D4—2362no—
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—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—81no—
1697C2×C4—591no—
1698C2×C4—591no—
1699C2×C4—591no—
1700C2×C4—591no—
1701C2×C4—591no—
1702C2×C4—591no—
1703C2×C4—591no—
1704C2×C4—1182no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—1181no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—4721no—
1716C2×C4—4721no—
1717C2×C4—4721no—
1718C2×C4—4721no—
1719C2×C4—4721no—
1720C2×C4—4721no—
1721C2×C4—4721no—
1722C2×C4—2362no—
1723C2×C4—2362no—
1724C2×C4—2361no—
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—1181no—
1747C22—1182no—
1748C22—1181no—
1749C22—1181no—
1750C22—9442no—
1751C22—9442no—
1752C22—9442no—
1753C22—4724no—
1754C22—2361no—
1755C22—2361no—
1756C22—2361no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22#1683821112yes—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—1181no—
1785C4—1181no—
1786C4—1181no—
1787C4—1181no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4H(5,𝔽2)×D5911yescharacteristic
1792C4#1683823811yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—81no—
1796C2—4721no—
1797C2—4721no—
1798C2—4721no—
1799C2—4721no—
1800C2—2361no—
1801C2—2362no—
1802C2#2143775911yescharacteristic
1803C2C2×#1683821111yescharacteristic
1804C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3320C2
socleC22×C59C23×D4
hypercenter#3320D59
hypocenterC59#62016
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3320

Complements

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

NH ≅ G/Ntype
1. #21438662C2semidirect
2. #21438124C2semidirect
3. #21437117C2semidirect
4. #21437115C2semidirect
5. #21436921C2semidirect
6. #21436918C2semidirect
7. #21436283C2semidirect
8. #21436280C2semidirect
9. #21436263C2semidirect
10. #21435944C2semidirect
11. #21435940C2semidirect
12. D4×#11745671C2semidirect
13. #21435785C2semidirect
14. #21435598C2semidirect
15. #21435584C2semidirect
16. #21435581C2semidirect
17. #21435573C2semidirect
18. #21435513C2semidirect
19. #21435502C2semidirect
20. #21435407C2semidirect
21. #21435158C2semidirect
22. #21435153C2semidirect
23. #21435082C2semidirect
24. #21434284C2semidirect
25. #21434283C2semidirect
26. #21434192C2semidirect
27. #21433607C2semidirect
28. #21433603C2semidirect
29. C2×#16837620C2semidirect
30. #21433236C2semidirect
31. C59×#3320C2semidirect
35. C22×#11745671C22semidirect
36. C2×SD16×D59C22semidirect
40. #16838126C22semidirect
41. #16838124C22semidirect
42. #16838115C22semidirect
43. #16838108C22semidirect
48. #16838073C22semidirect
49. Q8×C22⋊D59C22semidirect
50. #16838063C22semidirect
51. #16838062C22semidirect
52. #16838048C22semidirect
55. #16838043C22semidirect
59. #16838036C22semidirect
62. #16838025C22semidirect
63. #16838024C22semidirect
65. #16838008C22semidirect
66. #16838005C22semidirect
70. #16837977C22semidirect
71. #16837976C22semidirect
72. #16837954C22semidirect
75. C2×#14273716C22semidirect
78. #16837876C22semidirect
79. #16837874C22semidirect
81. #16837791C22semidirect
82. #16837788C22semidirect
83. #16837788C22semidirect
84. #16837788C22semidirect
85. #16837776C22semidirect
86. #16837773C22semidirect
87. #16837769C22semidirect
88. #16837763C22semidirect
89. #16837763C22semidirect
90. #16837759C22semidirect
91. #16837758C22semidirect
92. #16837741C22semidirect
93. #16837737C22semidirect
94. #16837729C22semidirect
95. #16837726C22semidirect
96. #16837707C22semidirect
97. #16837705C22semidirect
98. #16837699C22semidirect
99. #16837691C22semidirect
100. #16837690C22semidirect
101. #16837686C22semidirect
102. #16837685C22semidirect
103. #16837681C22semidirect
104. #16837681C22semidirect
105. #16837656C22semidirect
106. #16837655C22semidirect
107. #16837651C22semidirect
108. #16837639C22semidirect
109. #16837636C22semidirect
110. #16837634C22semidirect
111. #16837633C22semidirect
112. #16837633C22semidirect
113. #16837631C22semidirect
114. #16837629C22semidirect
120. #16837620C22semidirect
121. #16837620C22semidirect
122. #16837620C22semidirect
123. #16837620C22semidirect
124. #16837620C22semidirect
125. #16837620C22semidirect
126. #16837620C22semidirect
127. #16837619C22semidirect
128. #16837619C22semidirect
130. #16837617C22semidirect
131. #16837606C22semidirect
132. #16837606C22semidirect
133. #16837606C22semidirect
134. #16837606C22semidirect
135. #16837606C22semidirect
136. #16837605C22semidirect
137. #16837604C22semidirect
138. #16837602C22semidirect
139. #16837601C22semidirect
140. #16837600C22semidirect
141. #16837600C22semidirect
142. #16837598C22semidirect
143. #16837596C22semidirect
146. #16837552C22semidirect
147. #16837551C22semidirect
148. #16837550C22semidirect
149. #16837550C22semidirect
150. #16837549C22semidirect
151. #16837545C22semidirect
152. #16837542C22semidirect
153. #16837542C22semidirect
154. #16837541C22semidirect
155. #16837541C22semidirect
157. #16837538C22semidirect
159. #16837535C22semidirect
160. #16837530C22semidirect
161. #16837529C22semidirect
164. #16837505C22semidirect
165. #16837505C22semidirect
166. #16837505C22semidirect
167. #16837501C22semidirect
168. #16837501C22semidirect
169. C4×#11745671C22semidirect
170. #16837487C22semidirect
171. #16837484C22semidirect
172. C4×#11745669C22semidirect
173. #16837473C22semidirect
174. #16837471C22semidirect
175. #16837470C22semidirect
176. D4×C59⋊C8C22semidirect
177. (C22⋊D59)⋊C8C22semidirect
178. #16837464C22semidirect
179. #16837460C22semidirect
180. #16837456C22semidirect
181. #16837430C22semidirect
182. #16837427C22semidirect
183. C2×Dic59⋊C8C22semidirect
184. #16837409C22semidirect
185. #16837397C22semidirect
186. #16837396C22semidirect
187. C2×#14273647C22semidirect
189. D4×Q8×C59C22semidirect
190. C59×#491C22semidirect
191. C59×#485C22semidirect
192. C59×#484C22semidirect
193. C59×#479C22semidirect
194. C59×#468C22semidirect
195. C59×#465C22semidirect
196. C59×#461C22semidirect
197. C59×#448C22semidirect
198. C59×#448C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#419C22semidirect
202. C2×#103×C59C22semidirect
900. #3320D59semidirect
953. D4×Q8C2×D59semidirect
992. #491C2×D59semidirect
998. #485C2×D59semidirect
1000. #484C2×D59semidirect
1004. #479C2×D59semidirect
1016. #468C2×D59semidirect
1024. #465C2×D59semidirect
1048. #461C2×D59semidirect
1067. #448C2×D59semidirect
1068. #448C2×D59semidirect
1082. #440C2×D59semidirect
1090. #435C2×D59semidirect
1100. #419C2×D59semidirect
1103. C2×#103C2×D59semidirect
1105. C59#62016semidirect

Maximal subgroups

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

subgroupindex
#214386622
#214381242
#214371172
#214371152
#214369212
#214369182
#214362832
#214362802
#214362632
#214359442
#214359402
D4×#117456712
#214357852
#214355982
#214355842
#214355812
#214355732
#214355132
#214355022
#214354072
#214351582
#214351532
#214350822
#214342842
#214342832
#214341922
#214336072
#214336032
C2×#168376202
#214332362
C59×#33202
#6201659