Finite Group Databasebeta

← #29483830

Subgroups — #29483830

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#21438425C211yesmaximal, characteristic, complemented
2#21438170C211yesmaximal, characteristic, complemented
3#21437169C211yesmaximal, characteristic, complemented
4#21437115C211yesmaximal, characteristic, complemented
5#21436847C211yesmaximal, characteristic, complemented
6#21436806C211yesmaximal, characteristic, complemented
7#21436322C211yesmaximal, characteristic, complemented
8#21436294C211yesmaximal, characteristic, complemented
9#21436234C211yesmaximal, characteristic, complemented
10#21436228C211yesmaximal, characteristic, complemented
11#21436138C211yesmaximal, characteristic, complemented
12#21436112C211yesmaximal, characteristic, complemented
13#21435704C211yesmaximal, characteristic, complemented
14#21435699C211yesmaximal, characteristic, complemented
15#21435643C211yesmaximal, characteristic, complemented
16#21435627C211yesmaximal, characteristic, complemented
17#21435573C211yesmaximal, characteristic, complemented
18#21435573C211yesmaximal, characteristic, complemented
19#21435513C211yesmaximal, characteristic, complemented
20#21435499C211yesmaximal, characteristic, complemented
21#21435195C211yesmaximal, characteristic, complemented
22#21435162C211yesmaximal, characteristic, complemented
23#21435118C211yesmaximal, characteristic, complemented
24#21434334C211yesmaximal, characteristic, complemented
25#21434302C211yesmaximal, characteristic, complemented
26#21434212C211yesmaximal, characteristic, complemented
27#21433632C211yesmaximal, characteristic, complemented
28#21433600C211yesmaximal, characteristic, complemented
29#21433573C211yesmaximal, characteristic, complemented
30#21433264C211yesmaximal, characteristic, complemented
31C59×#3260C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273748C2211yescharacteristic, complemented
37C22×D472C2211yescharacteristic, complemented
38#16838142—21no—
39#16838140—21no—
40#16838135C2211yescharacteristic, complemented
41#16838126C2211yescharacteristic, complemented
42#16838123C2211yescharacteristic, complemented
43#16838108C2211yescharacteristic, complemented
44#16838105—21no—
45#16838105C2211yescharacteristic, complemented
46#16838086C2211yescharacteristic, complemented
47#16838084—21no—
48#16838077—21no—
49#16838077—21no—
50#16838073C2211yescharacteristic, complemented
51#16838070C2211yescharacteristic
52#16838055C2211yescharacteristic, complemented
53#16838049C2211yescharacteristic
54#16838047C2211yescharacteristic, complemented
55#16838044—21no—
56#16838043C2211yescharacteristic, complemented
57#16838043C2211yescharacteristic, complemented
58D4×D236C2211yescharacteristic, complemented
59#16838036—21no—
60#16838036C2211yescharacteristic
61#16838036C2211yescharacteristic
62#16838024C2211yescharacteristic, complemented
63#16838008C2211yescharacteristic, complemented
64#16838004—21no—
65#16838000—21no—
66#16837991—21no—
67#16837971C2211yescharacteristic
68#16837968—21no—
69#16837965C2211yescharacteristic, complemented
70#16837963—21no—
71#16837960—21no—
72#127×D59C2211yescharacteristic, complemented
73#16837939C2211yescharacteristic, complemented
74#16837937—21no—
75#16837937C2211yescharacteristic, complemented
76#16837930C2211yescharacteristic
77#126×D59—21no—
78#16837884C2211yescharacteristic, complemented
79#16837876C2211yescharacteristic, complemented
80C4×#11745689C2211yescharacteristic, complemented
81#16837794C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic
83#16837788C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837783C2211yescharacteristic, complemented
86#16837776C2211yescharacteristic, complemented
87#16837768C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837765C2211yescharacteristic, complemented
90#16837760C2211yescharacteristic, complemented
91#16837759C2211yescharacteristic, complemented
92#16837747C2211yescharacteristic, complemented
93#16837746C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837723C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837712C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837699C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837691C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837656C2211yescharacteristic
107#16837656C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837651C2211yescharacteristic, complemented
110#16837649C2211yescharacteristic, complemented
111#16837639C2211yescharacteristic, complemented
112#16837634C2211yescharacteristic, complemented
113#16837627C2211yescharacteristic, complemented
114#16837624C2211yescharacteristic, complemented
115#16837624C2211yescharacteristic, complemented
116#16837622C2211yescharacteristic, complemented
117#16837620C2211yescharacteristic, complemented
118#16837620C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837618C2211yescharacteristic, complemented
121#16837618C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837602C2211yescharacteristic, complemented
126#16837602C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837600C2211yescharacteristic, complemented
130#16837598C2211yescharacteristic, complemented
131#16837598C2211yescharacteristic, complemented
132#16837598C2211yescharacteristic, complemented
133#16837598C2211yescharacteristic, complemented
134#16837596C2211yescharacteristic
135#16837596C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic, complemented
137#16837594C2211yescharacteristic, complemented
138#16837594C2211yescharacteristic, complemented
139#16837567C2211yescharacteristic, complemented
140#16837562C2211yescharacteristic, complemented
141#16837562C2211yescharacteristic, complemented
142#16837561C2211yescharacteristic, complemented
143#16837552C2211yescharacteristic, complemented
144#16837552C2211yescharacteristic, complemented
145#16837551C2211yescharacteristic, complemented
146#16837551C2211yescharacteristic, complemented
147#16837551C2211yescharacteristic, complemented
148#16837550C2211yescharacteristic
149#16837550C2211yescharacteristic, complemented
150#16837550C2211yescharacteristic, complemented
151#16837548C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837535C2211yescharacteristic, complemented
156#16837535C2211yescharacteristic, complemented
157#16837531C2211yescharacteristic, complemented
158#16837529C2211yescharacteristic, complemented
159#16837513C2211yescharacteristic, complemented
160#16837513C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163#16837506C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837505C2211yescharacteristic, complemented
166#16837501C2211yescharacteristic, complemented
167#16837487C2211yescharacteristic, complemented
168#16837484C2211yescharacteristic, complemented
169C4×#11745669C2211yescharacteristic, complemented
170C4×#11745669C2211yescharacteristic, complemented
171#16837479C2211yescharacteristic, complemented
172#16837478C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175#16837472C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177#16837463C2211yescharacteristic, complemented
178#16837462C2211yescharacteristic, complemented
179#16837458C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186#16837399C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#541C2211yescharacteristic, complemented
189C59×#540C2211yescharacteristic
190C59×#479C2211yescharacteristic, complemented
191C59×#479C2211yescharacteristic, complemented
192C59×#478C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#465C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#461C2211yescharacteristic, complemented
199C59×#461C2211yescharacteristic, complemented
200C59×#460C2211yescharacteristic, complemented
201C59×#460C2211yescharacteristic, complemented
202C59×#424C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C22×D236—21no—
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C2×D4×D59—21no—
212C2×D4×D59—21no—
213C2×D4×D59—21no—
214C2×D4×D59—21no—
215C2×D4×D59C2311yescharacteristic
216C2×D4×D59C2311yescharacteristic
217C2×D4×D59C2311yescharacteristic
218#14273755—42no—
219#14273754—42no—
220#14273754—42no—
221#14273754—42no—
222#14273748—42no—
223C2×#11745672C2311yescharacteristic
224C2×#11745672C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×D472—42no—
234C2×D472C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×D472C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273724C2311yescharacteristic
250#14273724C2311yescharacteristic
251#14273723—21no—
252#14273723—21no—
253#14273723—21no—
254#14273723C2311yescharacteristic
255#14273723C2311yescharacteristic
256#14273723C2311yescharacteristic
257#14273722—21no—
258#14273722—21no—
259#14273722—21no—
260#14273722—21no—
261#14273722—21no—
262#14273722—21no—
263#14273722D411yescharacteristic
264#14273721—21no—
265#14273720—21no—
266#14273720—21no—
267#14273720D411yescharacteristic
268#14273718C2311yescharacteristic
269#14273717—21no—
270#14273717D411yescharacteristic
271#14273716C2311yescharacteristic
272#14273716C2311yescharacteristic
273#14273715—21no—
274#14273715C2311yescharacteristic
275#14273715C2311yescharacteristic
276#14273714C2311yescharacteristic
277#14273713—21no—
278#14273713—21no—
279#14273713D411yescharacteristic
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712D411yescharacteristic
291#14273711—21no—
292#14273710—21no—
293#14273709—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709D411yescharacteristic
297#14273707—21no—
298#14273707—21no—
299#14273707C2311yescharacteristic
300#14273705—21no—
301#14273705—21no—
302#14273705—21no—
303#14273705D411yescharacteristic
304#14273703C2311yescharacteristic
305#14273703C2311yescharacteristic
306#14273702—21no—
307#14273702—21no—
308#14273702—21no—
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273702C2311yescharacteristic
318#14273702C2311yescharacteristic
319#14273701—21no—
320#14273701—21no—
321#14273701—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700D411yescharacteristic
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273698—21no—
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273697—21no—
340#14273697—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345#14273695—21no—
346Q8×Dic59C2311yescharacteristic
347Q8×Dic59C2311yescharacteristic
348C4×Dic118C2311yescharacteristic
349#14273692—21no—
350#14273692C2311yescharacteristic
351C4×D236—21no—
352C4×D236—21no—
353C4×D236—21no—
354C4×D236C2311yescharacteristic
355C4×D236C2311yescharacteristic
356C4×D236C2311yescharacteristic
357C4×D236C2311yescharacteristic
358C4×D236C2311yescharacteristic
359#14273689—21no—
360#14273689—21no—
361#14273689—21no—
362#14273689—21no—
363#14273689—21no—
364#14273689—21no—
365#14273689C2311yescharacteristic
366#14273689C2311yescharacteristic
367#14273689C2311yescharacteristic
368#14273689C2311yescharacteristic
369#14273689C2311yescharacteristic
370C4×C22⋊D59—21no—
371C4×C22⋊D59C2311yescharacteristic
372C4×C22⋊D59C2311yescharacteristic
373(C22⋊D59)⋊C4—21no—
374#14273686C2311yescharacteristic
375#14273685—21no—
376#14273685—21no—
377#14273685—21no—
378#14273685—21no—
379#14273685C2311yescharacteristic
380#14273684—21no—
381#14273684—21no—
382#14273684C2311yescharacteristic
383C4⋊C4×D59—21no—
384C4⋊C4×D59—21no—
385C4⋊C4×D59—21no—
386C4⋊C4×D59C2311yescharacteristic
387C2×(C2×D59)⋊C4—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C42×D59—21no—
394C42×D59C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429C22⋊(C59⋊C8)C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435#14273638C2311yescharacteristic
436#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C4×C59⋊C8C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447C4⋊Q8×C59C2311yescharacteristic
448#127×C59C2311yescharacteristic
449#126×C59—21no—
450#126×C59—21no—
451#125×C59—21no—
452#125×C59—21no—
453#125×C59C2311yescharacteristic
454#125×C59C2311yescharacteristic
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458C22⋊Q8×C59C2311yescharacteristic
459#121×C59—21no—
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467#117×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#107×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489C2×Q8×C59C2411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59C2411yescharacteristic
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59C2×D411yescharacteristic
512C2×C22⋊D59C2×D411yescharacteristic
513C22×Dic59—21no—
514#11745689—22no—
515#11745689—22no—
516#11745689—41no—
517#11745689—41no—
518#11745687—41no—
519#11745687—41no—
520D4×D59—41no—
521D4×D59—41no—
522D4×D59—41no—
523D4×D59—41no—
524D4×D59—41no—
525D4×D59—41no—
526D4×D59—82no—
527D4×D59—82no—
528D4×D59—82no—
529D4×D59—82no—
530#11745685—41no—
531#11745685—41no—
532#11745685—82no—
533C2×D236—22no—
534C2×D236—21no—
535C2×D236—21no—
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—21no—
546C2×D236—21no—
547C2×D236—41no—
548C2×D236—41no—
549C2×D236—41no—
550C2×D236—82no—
551C2×D236C2×D411yescharacteristic
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×D236C2411yescharacteristic
555C2×D236C2411yescharacteristic
556C2×D236C2411yescharacteristic
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—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59C2×D411yescharacteristic
571C2×C4×D59C2×D411yescharacteristic
572C2×C4×D59C2411yescharacteristic
573C2×C4×D59C2411yescharacteristic
574C2×Dic118—21no—
575C2×Dic118C2×D411yescharacteristic
576C2×Dic118C2411yescharacteristic
577SD16×C59—41no—
578SD16×C59—41no—
579SD16×C59—41no—
580SD16×C59—41no—
581M16×C59—41no—
582C2×C8×C59—41no—
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
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×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59—21no—
596C4⋊C4×C59—21no—
597C4⋊C4×C59C2×D411yescharacteristic
598C4⋊C4×C59C2×D411yescharacteristic
599C4⋊C4×C59C2411yescharacteristic
600C4⋊C4×C59C2411yescharacteristic
601C4⋊C4×C59C2411yescharacteristic
602C4⋊C4×C59C2411yescharacteristic
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59C2×D411yescharacteristic
610C22⋊C4×C59C2×D411yescharacteristic
611C42×C59—21no—
612C42×C59—21no—
613C42×C59C2411yescharacteristic
614C42×C59C2411yescharacteristic
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59C2×D411yescharacteristic
619C22⋊Dic59C2×D411yescharacteristic
620#11745672—41no—
621#11745672—41no—
622#11745671—41no—
623#11745671—41no—
624#11745671—41no—
625#11745671—41no—
626#11745671—41no—
627#11745671—41no—
628#11745669—22no—
629#11745669—22no—
630#11745669—41no—
631#11745669—41no—
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)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662(C2×D59)⋊C4C2×D411yescharacteristic
663(C2×D59)⋊C4C2×D411yescharacteristic
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59—21no—
668C4⋊Dic59C2×D411yescharacteristic
669C4⋊Dic59C2×D411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697D472—22no—
698D472—22no—
699D472—22no—
700D472—41no—
701D472—41no—
702D472—41no—
703#11745660—22no—
704#11745660—41no—
705#11745659—41no—
706#11745659—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
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—81no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
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×D59C22×D411yescharacteristic
733C22×D59C22×D411yescharacteristic
734Q8×C59—21no—
735Q8×C59—21no—
736Q8×C59—21no—
737Q8×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59—81no—
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×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C2511yescharacteristic
762C22⋊D59—41no—
763C22⋊D59—41no—
764C22⋊D59—42no—
765C22⋊D59—42no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—81no—
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—21no—
791D236—21no—
792D236—21no—
793D236—21no—
794D236—41no—
795D236—42no—
796D236—42no—
797D236—42no—
798D236—42no—
799D236—81no—
800D236—81no—
801D236—81no—
802D236—81no—
803D236—81no—
804D236—81no—
805D236—81no—
806D236—81no—
807D236—81no—
808D236H(5,𝔽2)12yes—
809C4×D59—21no—
810C4×D59—21no—
811C4×D59—21no—
812C4×D59—21no—
813C4×D59—41no—
814C4×D59—41no—
815C4×D59—42no—
816C4×D59—42no—
817C4×D59—42no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827C4×D59—81no—
828Dic118—21no—
829Dic118—21no—
830Dic118—41no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—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—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59C23×D411yescharacteristic
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—22no—
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—162no—
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—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59—41no—
887C4×C59—41no—
888C4×C59C2×H(5,𝔽2)11yescharacteristic
889C4×C59#58511yescharacteristic
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—21no—
895Dic59—21no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899#3543—591no—
900#3521—591no—
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#3260D5911yescharacteristic, complemented
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—81no—
932C2×C59—81no—
933C2×C59#348811yescharacteristic
934C2×C59#358511yescharacteristic
935C2×C59#358511yescharacteristic
936D59—41no—
937D59—41no—
938D59—42no—
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#556—591no—
953#556—591no—
954#554—591no—
955#553—591no—
956#553—1181no—
957#552—591no—
958#552—1181no—
959#551—1181no—
960#551—1181no—
961#550—591no—
962#550—591no—
963#547—591no—
964#546—591no—
965#546—591no—
966#546—591no—
967#546—591no—
968#546—1181no—
969D42—591no—
970D42—591no—
971D42—591no—
972D42—1181no—
973#542—591no—
974#541C2×D5911yescharacteristic, complemented
975#540—591no—
976#540—1181no—
977#540C2×D5911yescharacteristic
978#539—1181no—
979#538—1181no—
980#535—591no—
981#535—591no—
982#535—1181no—
983#534—1181no—
984#534—1181no—
985C2×#127—591no—
986#529—591no—
987#529—591no—
988#529—591no—
989#529—1181no—
990C2×#126—1181no—
991#520—591no—
992#518—591no—
993C4×#41—591no—
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#479C2×D5911yescharacteristic, complemented
1014#479C2×D5911yescharacteristic, complemented
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478C2×D5911yescharacteristic, complemented
1019#478C2×D5911yescharacteristic, complemented
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#468C2×D5911yescharacteristic, complemented
1029#468C2×D5911yescharacteristic, complemented
1030#466—591no—
1031#465—591no—
1032#465C2×D5911yescharacteristic, complemented
1033#465C2×D5911yescharacteristic, complemented
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#461C2×D5911yescharacteristic, complemented
1047#461C2×D5911yescharacteristic, complemented
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#460C2×D5911yescharacteristic, complemented
1054#460C2×D5911yescharacteristic, complemented
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#424C2×D5911yescharacteristic, complemented
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—591no—
1118C2×#41—591no—
1119C2×#41—1181no—
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C22×D4—1181no—
1129C22×D4—1181no—
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×SD16C22×D5911yescharacteristic
1146C2×SD16C22×D5911yescharacteristic
1147C2×SD16C22×D5911yescharacteristic
1148C2×SD16C22×D5911yescharacteristic
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×M16C22×D5911yescharacteristic
1164C22×C8—591no—
1165C22×C8C22×D5911yescharacteristic
1166C4⋊Q8—591no—
1167C4⋊Q8C22×D5911yescharacteristic
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—1181no—
1174#127—1181no—
1175#127—1181no—
1176#127C22×D5911yescharacteristic
1177#126—21no—
1178#126—21no—
1179#126—591no—
1180#126—591no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#126—1181no—
1186#126—1181no—
1187#126—1181no—
1188#126—1181no—
1189#126—1181no—
1190#125—21no—
1191#125—21no—
1192#125—591no—
1193#125—591no—
1194#125—1181no—
1195#125C22×D5911yescharacteristic
1196#125C22×D5911yescharacteristic
1197#124—591no—
1198#124—591no—
1199#124—591no—
1200#124—591no—
1201#124—591no—
1202#124—591no—
1203#124—1181no—
1204#124—1181no—
1205#124—1181no—
1206#123—21no—
1207#123—21no—
1208#123—591no—
1209#123—591no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
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#123—1181no—
1224#123—1181no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
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—21no—
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#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
1266#120—1181no—
1267#120—1181no—
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—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—1181no—
1285C4×Q8C22×D5911yescharacteristic
1286C4×Q8C22×D5911yescharacteristic
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4C22×D5911yescharacteristic
1311C4×D4C22×D5911yescharacteristic
1312#117—591no—
1313#117—591no—
1314#117—591no—
1315#117—1181no—
1316#117—1181no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320#117—1181no—
1321#117C22×D5911yescharacteristic
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—1181no—
1324C2×C4⋊C4—1181no—
1325C2×C4⋊C4—1181no—
1326C2×C22⋊C4—1181no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42—591no—
1333C2×C42—1181no—
1334#107—591no—
1335#107—591no—
1336#107C22×D5911yescharacteristic
1337#107C22×D5911yescharacteristic
1338#106—591no—
1339#106—591no—
1340#106C22×D5911yescharacteristic
1341#106C22×D5911yescharacteristic
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8C22×D5911yescharacteristic
1349C4⋊C8C22×D5911yescharacteristic
1350C4⋊C8C22×D5911yescharacteristic
1351C4⋊C8C22×D5911yescharacteristic
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103C22×D5911yescharacteristic
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
1359#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383#102C22×D5911yescharacteristic
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—1181no—
1397C24—1181no—
1398C24—1181no—
1399C24—1181no—
1400C24—1181no—
1401#41—1182no—
1402#41—1182no—
1403#41—4722no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408#41—2361no—
1409#41—2361no—
1410C2×Q8—591no—
1411C2×Q8—591no—
1412C2×Q8—1181no—
1413C2×Q8C23×D5911yescharacteristic
1414C2×Q8C23×D5911yescharacteristic
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—591no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—1182no—
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—1181no—
1451C2×D4—1181no—
1452C2×D4—4722no—
1453C2×D4—4722no—
1454C2×D4—4722no—
1455C2×D4—4722no—
1456C2×D4—4722no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4—2361no—
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—591no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4C23×D5911yescharacteristic
1489Q16—2361no—
1490Q16—2361no—
1491SD16—41no—
1492SD16—41no—
1493SD16—41no—
1494SD16—41no—
1495SD16—1182no—
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—41no—
1514M16—2361no—
1515M16—2361no—
1516M16—2361no—
1517C2×C8—41no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—2361no—
1523C2×C8C23×D5911yescharacteristic
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
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—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—591no—
1546C4⋊C4—591no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4D4×D5911yescharacteristic
1558C4⋊C4D4×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—591no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
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⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4D4×D5911yescharacteristic
1607C22⋊C4D4×D5911yescharacteristic
1608C42—21no—
1609C42—21no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42C23×D5911yescharacteristic
1620C42C23×D5911yescharacteristic
1621C23—21no—
1622C23—21no—
1623C23—591no—
1624C23—591no—
1625C23—1181no—
1626C23—1181no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—4721no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—4721no—
1641C23—4721no—
1642C23—2362no—
1643C23—2362no—
1644C23—2362no—
1645C23C2×D4×D5911yescharacteristic
1646Q8—21no—
1647Q8—21no—
1648Q8—21no—
1649Q8—21no—
1650Q8—1181no—
1651Q8—1181no—
1652Q8—4721no—
1653Q8—2361no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—592no—
1663D4—1181no—
1664D4—1181no—
1665D4—1181no—
1666D4—1181no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—1181no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
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—2361no—
1691D4—2362no—
1692D4—2362no—
1693D4—2362no—
1694D4—2362no—
1695D4—2361no—
1696D4—2361no—
1697D4—2362no—
1698D4—2362no—
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—81no—
1708C2×C4—81no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—4721no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—2361no—
1734C2×C4—2361no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C2×D4×D5911yescharacteristic
1743C2×C4C24×D5911yescharacteristic
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—21no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C8—1181no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—1181no—
1762C22—1181no—
1763C22—1182no—
1764C22—1181no—
1765C22—1181no—
1766C22—1181no—
1767C22—1181no—
1768C22—9442no—
1769C22—9442no—
1770C22—9442no—
1771C22—9442no—
1772C22—9442no—
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—
1787C22C22×D4×D5911yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—1181no—
1803C4—1181no—
1804C4—1181no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4H(5,𝔽2)×D5911yescharacteristic
1809C4#1683823911yescharacteristic
1810C2—41no—
1811C2—81no—
1812C2—81no—
1813C2—4721no—
1814C2—4721no—
1815C2—4721no—
1816C2—4721no—
1817C2—2361no—
1818C2—2361no—
1819C2—2362no—
1820C2#2143776011yescharacteristic
1821C2#2143887411yescharacteristic
1822C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3260C2
socleC22×C59C23×D4
hypercenter#3260D59
hypocenterC59#62079
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3260

Complements

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

NH ≅ G/Ntype
1. #21438425C2semidirect
2. #21438170C2semidirect
3. #21437169C2semidirect
4. #21437115C2semidirect
5. #21436847C2semidirect
6. #21436806C2semidirect
7. #21436322C2semidirect
8. #21436294C2semidirect
9. #21436234C2semidirect
10. #21436228C2semidirect
11. #21436138C2semidirect
12. #21436112C2semidirect
13. #21435704C2semidirect
14. #21435699C2semidirect
15. #21435643C2semidirect
16. #21435627C2semidirect
17. #21435573C2semidirect
18. #21435573C2semidirect
19. #21435513C2semidirect
20. #21435499C2semidirect
21. #21435195C2semidirect
22. #21435162C2semidirect
23. #21435118C2semidirect
24. #21434334C2semidirect
25. #21434302C2semidirect
26. #21434212C2semidirect
27. #21433632C2semidirect
28. #21433600C2semidirect
29. #21433573C2semidirect
30. #21433264C2semidirect
31. C59×#3260C2semidirect
32. C2×#14273755C22semidirect
33. C2×#14273754C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273748C22semidirect
37. C22×D472C22semidirect
40. #16838135C22semidirect
41. #16838126C22semidirect
42. #16838123C22semidirect
43. #16838108C22semidirect
45. #16838105C22semidirect
46. #16838086C22semidirect
50. #16838073C22semidirect
52. #16838055C22semidirect
54. #16838047C22semidirect
56. #16838043C22semidirect
57. #16838043C22semidirect
58. D4×D236C22semidirect
62. #16838024C22semidirect
63. #16838008C22semidirect
69. #16837965C22semidirect
72. #127×D59C22semidirect
73. #16837939C22semidirect
75. #16837937C22semidirect
78. #16837884C22semidirect
79. #16837876C22semidirect
80. C4×#11745689C22semidirect
81. #16837794C22semidirect
83. #16837788C22semidirect
84. #16837788C22semidirect
85. #16837783C22semidirect
86. #16837776C22semidirect
87. #16837768C22semidirect
88. #16837765C22semidirect
89. #16837765C22semidirect
90. #16837760C22semidirect
91. #16837759C22semidirect
92. #16837747C22semidirect
93. #16837746C22semidirect
94. #16837729C22semidirect
95. #16837723C22semidirect
96. #16837723C22semidirect
97. #16837722C22semidirect
98. #16837717C22semidirect
99. #16837712C22semidirect
100. #16837705C22semidirect
101. #16837699C22semidirect
102. #16837699C22semidirect
103. #16837691C22semidirect
104. #16837681C22semidirect
105. #16837659C22semidirect
107. #16837656C22semidirect
108. #16837651C22semidirect
109. #16837651C22semidirect
110. #16837649C22semidirect
111. #16837639C22semidirect
112. #16837634C22semidirect
113. #16837627C22semidirect
114. #16837624C22semidirect
115. #16837624C22semidirect
116. #16837622C22semidirect
117. #16837620C22semidirect
118. #16837620C22semidirect
119. #16837620C22semidirect
120. #16837618C22semidirect
121. #16837618C22semidirect
122. #16837618C22semidirect
123. #16837618C22semidirect
124. #16837616C22semidirect
125. #16837602C22semidirect
126. #16837602C22semidirect
127. #16837600C22semidirect
128. #16837600C22semidirect
129. #16837600C22semidirect
130. #16837598C22semidirect
131. #16837598C22semidirect
132. #16837598C22semidirect
133. #16837598C22semidirect
135. #16837596C22semidirect
136. #16837596C22semidirect
137. #16837594C22semidirect
138. #16837594C22semidirect
139. #16837567C22semidirect
140. #16837562C22semidirect
141. #16837562C22semidirect
142. #16837561C22semidirect
143. #16837552C22semidirect
144. #16837552C22semidirect
145. #16837551C22semidirect
146. #16837551C22semidirect
147. #16837551C22semidirect
149. #16837550C22semidirect
150. #16837550C22semidirect
151. #16837548C22semidirect
152. #16837537C22semidirect
153. #16837537C22semidirect
154. #16837537C22semidirect
155. #16837535C22semidirect
156. #16837535C22semidirect
157. #16837531C22semidirect
158. #16837529C22semidirect
159. #16837513C22semidirect
160. #16837513C22semidirect
161. #16837512C22semidirect
162. #16837512C22semidirect
163. #16837506C22semidirect
164. #16837505C22semidirect
165. #16837505C22semidirect
166. #16837501C22semidirect
167. #16837487C22semidirect
168. #16837484C22semidirect
169. C4×#11745669C22semidirect
170. C4×#11745669C22semidirect
171. #16837479C22semidirect
172. #16837478C22semidirect
173. #16837473C22semidirect
174. #16837473C22semidirect
175. #16837472C22semidirect
176. #16837471C22semidirect
177. #16837463C22semidirect
178. #16837462C22semidirect
179. #16837458C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837408C22semidirect
183. #16837405C22semidirect
184. #16837405C22semidirect
185. #16837400C22semidirect
186. #16837399C22semidirect
187. #102×D59C22semidirect
188. C59×#541C22semidirect
190. C59×#479C22semidirect
191. C59×#479C22semidirect
192. C59×#478C22semidirect
193. C59×#478C22semidirect
194. C59×#468C22semidirect
195. C59×#468C22semidirect
196. C59×#465C22semidirect
197. C59×#465C22semidirect
198. C59×#461C22semidirect
199. C59×#461C22semidirect
200. C59×#460C22semidirect
201. C59×#460C22semidirect
202. C59×#424C22semidirect
917. #3260D59semidirect
974. #541C2×D59semidirect
1013. #479C2×D59semidirect
1014. #479C2×D59semidirect
1018. #478C2×D59semidirect
1019. #478C2×D59semidirect
1028. #468C2×D59semidirect
1029. #468C2×D59semidirect
1032. #465C2×D59semidirect
1033. #465C2×D59semidirect
1046. #461C2×D59semidirect
1047. #461C2×D59semidirect
1053. #460C2×D59semidirect
1054. #460C2×D59semidirect
1106. #424C2×D59semidirect
1114. C59#62079semidirect

Maximal subgroups

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

subgroupindex
#214384252
#214381702
#214371692
#214371152
#214368472
#214368062
#214363222
#214362942
#214362342
#214362282
#214361382
#214361122
#214357042
#214356992
#214356432
#214356272
#214355732
#214355132
#214354992
#214351952
#214351622
#214351182
#214343342
#214343022
#214342122
#214336322
#214336002
#214335732
#214332642
C59×#32602
#6207959