Finite Group Databasebeta

← #29482496

Subgroups — #29482496

Order 15104.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438676C211yesmaximal, characteristic, complemented
2#21438030C211yesmaximal, characteristic, complemented
3#21437166C211yesmaximal, characteristic, complemented
4#21437103C211yesmaximal, characteristic, complemented
5#21436847C211yesmaximal, characteristic, complemented
6#21436748C211yesmaximal, characteristic, complemented
7#21436396C211yesmaximal, characteristic, complemented
8#21436359C211yesmaximal, characteristic, complemented
9#21436346C211yesmaximal, characteristic, complemented
10#21436217C211yesmaximal, characteristic, complemented
11#21436052C211yesmaximal, characteristic, complemented
12#21435943C211yesmaximal, characteristic, complemented
13#21435798C211yesmaximal, characteristic, complemented
14#21435713C211yesmaximal, characteristic, complemented
15#21435704C211yesmaximal, characteristic, complemented
16#21435702C211yesmaximal, characteristic, complemented
17#21435628C211yesmaximal, characteristic, complemented
18#21435598C211yesmaximal, characteristic, complemented
19#21435544C211yesmaximal, characteristic, complemented
20#21435513C211yesmaximal, characteristic, complemented
21#21435210C211yesmaximal, characteristic, complemented
22#21435143C211yesmaximal, characteristic, complemented
23#21435068C211yesmaximal, characteristic, complemented
24#21434341C211yesmaximal, characteristic, complemented
25#21434317C211yesmaximal, characteristic, complemented
26#21434139C211yesmaximal, characteristic, complemented
27#21433638C211yesmaximal, characteristic, complemented
28#21433606C211yesmaximal, characteristic, complemented
29#21433562C211yesmaximal, characteristic, complemented
30#21433241C211yesmaximal, characteristic, complemented
31C59×#3256C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273755C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic
35C2×#14273751C2211yescharacteristic
36C2×#14273750C2211yescharacteristic
37C2×SD16×D59C2211yescharacteristic, complemented
38#16838149—21no—
39#16838142—21no—
40#16838135C2211yescharacteristic, complemented
41#16838134C2211yescharacteristic, complemented
42#16838124C2211yescharacteristic, complemented
43#16838108C2211yescharacteristic, complemented
44#16838105C2211yescharacteristic
45#16838096—21no—
46#16838096—21no—
47#16838094C2211yescharacteristic, complemented
48#16838081—21no—
49#16838076—21no—
50#16838076—21no—
51#16838070C2211yescharacteristic
52#16838064C2211yescharacteristic, complemented
53#16838062C2211yescharacteristic
54#16838054C2211yescharacteristic, complemented
55#16838052C2211yescharacteristic
56#16838049C2211yescharacteristic, complemented
57#16838047—21no—
58#16838047C2211yescharacteristic, complemented
59#16838045C2211yescharacteristic
60#16838043C2211yescharacteristic
61#16838036C2211yescharacteristic, complemented
62#16838024C2211yescharacteristic, complemented
63#16838015C2211yescharacteristic, complemented
64#16838008C2211yescharacteristic, complemented
65#16838003—21no—
66#16838003C2211yescharacteristic
67#16837993—21no—
68#16837993—21no—
69#16837991—21no—
70#16837991—21no—
71#16837985—21no—
72#16837972C2211yescharacteristic, complemented
73#16837970C2211yescharacteristic, complemented
74#16837952C2211yescharacteristic, complemented
75#16837936C2211yescharacteristic
76#16837910—21no—
77#123×D59—21no—
78#16837884C2211yescharacteristic
79#16837874C2211yescharacteristic, complemented
80C2×C4×D236C2211yescharacteristic, complemented
81#16837795C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic
83#16837784C2211yescharacteristic, complemented
84#16837784C2211yescharacteristic, complemented
85#16837783C2211yescharacteristic, complemented
86#16837777C2211yescharacteristic
87#16837765C2211yescharacteristic, complemented
88#16837760C2211yescharacteristic, complemented
89#16837759C2211yescharacteristic, complemented
90#16837759C2211yescharacteristic, complemented
91#16837758C2211yescharacteristic, complemented
92#16837751C2211yescharacteristic, complemented
93#16837739C2211yescharacteristic, complemented
94#16837735C2211yescharacteristic, complemented
95#16837734C2211yescharacteristic, complemented
96#16837729C2211yescharacteristic, complemented
97#16837728C2211yescharacteristic, complemented
98#16837718C2211yescharacteristic, complemented
99#16837712C2211yescharacteristic, complemented
100#16837708C2211yescharacteristic, complemented
101#16837699C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837691C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837639C2211yescharacteristic
110#16837634C2211yescharacteristic, complemented
111#16837632C2211yescharacteristic, complemented
112#16837630C2211yescharacteristic, complemented
113#16837626C2211yescharacteristic, complemented
114#16837620C2211yescharacteristic
115#16837620C2211yescharacteristic, complemented
116#16837620C2211yescharacteristic, complemented
117#16837618C2211yescharacteristic
118#16837618C2211yescharacteristic, complemented
119#16837618C2211yescharacteristic, complemented
120#16837618C2211yescharacteristic, complemented
121#16837616C2211yescharacteristic
122#16837615C2211yescharacteristic, complemented
123#16837614C2211yescharacteristic
124#16837614C2211yescharacteristic, complemented
125#16837612C2211yescharacteristic, complemented
126#16837608C2211yescharacteristic, complemented
127#16837608C2211yescharacteristic, complemented
128#16837607C2211yescharacteristic, complemented
129#16837606C2211yescharacteristic, complemented
130#16837605C2211yescharacteristic, complemented
131#16837602C2211yescharacteristic, complemented
132#16837601C2211yescharacteristic, complemented
133#16837601C2211yescharacteristic, complemented
134#16837600C2211yescharacteristic, complemented
135#16837598C2211yescharacteristic
136#16837598C2211yescharacteristic, complemented
137#16837597C2211yescharacteristic, complemented
138#16837596C2211yescharacteristic
139#16837567C2211yescharacteristic
140#16837567C2211yescharacteristic
141#16837562C2211yescharacteristic, complemented
142#16837562C2211yescharacteristic, complemented
143#16837561C2211yescharacteristic, complemented
144#16837556C2211yescharacteristic, complemented
145#16837552C2211yescharacteristic, complemented
146#16837550C2211yescharacteristic, complemented
147#16837548C2211yescharacteristic
148#16837546C2211yescharacteristic, complemented
149#16837545C2211yescharacteristic
150#16837545C2211yescharacteristic, complemented
151#16837542C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic
153#16837537C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837535C2211yescharacteristic
156#16837534C2211yescharacteristic, complemented
157#16837529C2211yescharacteristic, complemented
158#16837526C2211yescharacteristic, complemented
159#16837513C2211yescharacteristic, complemented
160#16837511C2211yescharacteristic, complemented
161#16837506C2211yescharacteristic, complemented
162#16837501C2211yescharacteristic, complemented
163#16837494C2211yescharacteristic, complemented
164C4×#11745671C2211yescharacteristic, complemented
165C4×#11745671C2211yescharacteristic, complemented
166#16837489C2211yescharacteristic, complemented
167#16837484C2211yescharacteristic
168C4×#11745669C2211yescharacteristic
169C4×#11745669C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837479C2211yescharacteristic, complemented
172#16837478C2211yescharacteristic, complemented
173#16837478C2211yescharacteristic, complemented
174#16837471C2211yescharacteristic, complemented
175#16837471C2211yescharacteristic, complemented
176#16837467C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837462C2211yescharacteristic, complemented
179#16837455C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837427C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837404C2211yescharacteristic, complemented
184#16837404C2211yescharacteristic, complemented
185#16837402C2211yescharacteristic, complemented
186#16837395C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic, complemented
189C59×#529C2211yescharacteristic, complemented
190C59×#479C2211yescharacteristic, complemented
191C59×#479C2211yescharacteristic, complemented
192C59×#478C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#469C2211yescharacteristic
196C59×#468C2211yescharacteristic, complemented
197C59×#468C2211yescharacteristic, complemented
198C59×#464C2211yescharacteristic, complemented
199C59×#464C2211yescharacteristic, complemented
200C59×#463C2211yescharacteristic, complemented
201C59×#463C2211yescharacteristic, complemented
202C59×#423C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745687—21no—
208C2×#11745687C2311yescharacteristic
209C2×Q8×D59C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C22×C4×D59—21no—
215#14273755—42no—
216#14273755—42no—
217#14273754—42no—
218#14273751—42no—
219#14273750—42no—
220C2×#11745672C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232SD16×D59—42no—
233C2×D472C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273726C2311yescharacteristic
247#14273725C2311yescharacteristic
248#14273724C2311yescharacteristic
249#14273723—21no—
250#14273723C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273722—21no—
253#14273722—21no—
254#14273722—21no—
255#14273722—21no—
256#14273722—21no—
257#14273721—21no—
258#14273721—21no—
259#14273721D411yescharacteristic
260#14273721D411yescharacteristic
261#14273719D411yescharacteristic
262#14273718—21no—
263#14273718—21no—
264#14273718—21no—
265#14273718C2311yescharacteristic
266#14273716C2311yescharacteristic
267#14273716C2311yescharacteristic
268#14273715—21no—
269#14273715—21no—
270#14273715D411yescharacteristic
271#14273715C2311yescharacteristic
272#14273715C2311yescharacteristic
273#14273714C2311yescharacteristic
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273711—21no—
284#14273711—21no—
285#14273711—21no—
286#14273710—21no—
287#14273710—21no—
288#14273710D411yescharacteristic
289#14273710D411yescharacteristic
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273708—21no—
300#14273707—21no—
301#14273707—21no—
302#14273707C2311yescharacteristic
303#14273707C2311yescharacteristic
304#14273706D411yescharacteristic
305#14273705—21no—
306#14273705—21no—
307#14273705—21no—
308#14273705—21no—
309#14273705—21no—
310#14273704—21no—
311#14273704—21no—
312#14273704—21no—
313#14273703C2311yescharacteristic
314#14273702—21no—
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702C2311yescharacteristic
320#14273702C2311yescharacteristic
321#14273702C2311yescharacteristic
322#14273702C2311yescharacteristic
323#14273701—21no—
324#14273701—21no—
325#14273701—21no—
326#14273701—21no—
327#14273701D411yescharacteristic
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273699—21no—
337#14273698—21no—
338#14273698C2311yescharacteristic
339#14273697—21no—
340#14273697—21no—
341#14273697—21no—
342#14273697—21no—
343#14273697—21no—
344#14273697—21no—
345#14273695—21no—
346#14273695—21no—
347Q8×Dic59C2311yescharacteristic
348C4×Dic118C2311yescharacteristic
349#14273692C2311yescharacteristic
350#14273692C2311yescharacteristic
351C4×D236—21no—
352C4×D236—21no—
353C4×D236—21no—
354C4×D236—21no—
355C4×D236—21no—
356C4×D236—21no—
357C4×D236C2311yescharacteristic
358C4×D236C2311yescharacteristic
359C4×D236C2311yescharacteristic
360C4×D236C2311yescharacteristic
361C4×D236C2311yescharacteristic
362D4×Dic59C2311yescharacteristic
363#14273689—21no—
364#14273689—21no—
365#14273689—21no—
366#14273689C2311yescharacteristic
367#14273689C2311yescharacteristic
368#14273689C2311yescharacteristic
369#14273689C2311yescharacteristic
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59C2311yescharacteristic
373C4×C22⋊D59C2311yescharacteristic
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377#14273685C2311yescharacteristic
378#14273684—21no—
379#14273684—21no—
380#14273684C2311yescharacteristic
381#14273684C2311yescharacteristic
382#14273683—21no—
383C2×C4⋊Dic59C2311yescharacteristic
384C4⋊C4×D59—21no—
385C4⋊C4×D59—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59C2311yescharacteristic
388C2×(C2×D59)⋊C4—21no—
389C2×(C2×D59)⋊C4—21no—
390C2×(C2×D59)⋊C4—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
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#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
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#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C4×C59⋊C8C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×Q16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C2×M16×C59C2311yescharacteristic
447#126×C59—21no—
448#126×C59—21no—
449#125×C59C2311yescharacteristic
450#125×C59C2311yescharacteristic
451#124×C59C2311yescharacteristic
452#124×C59C2311yescharacteristic
453#123×C59—21no—
454#123×C59—21no—
455C22⋊Q8×C59C2311yescharacteristic
456C22⋊Q8×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459C4×Q8×C59C2311yescharacteristic
460C4×Q8×C59C2311yescharacteristic
461C4×D4×C59—21no—
462C4×D4×C59—21no—
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465#117×C59—21no—
466#117×C59—21no—
467C2×C42×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—
487C2×Q8×C59C2411yescharacteristic
488C2×Q8×C59C2411yescharacteristic
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59C2411yescharacteristic
492C2×D4×C59C2411yescharacteristic
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59C2×D411yescharacteristic
496C22×C4×C59C2×D411yescharacteristic
497C22×C4×C59C2411yescharacteristic
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
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⋊D59C2×D411yescharacteristic
509C2×C22⋊D59C2×D411yescharacteristic
510C22×Dic59—21no—
511C22×Dic59—21no—
512C22×Dic59—21no—
513#11745689—22no—
514#11745689—41no—
515#11745689—41no—
516#11745689—41no—
517Q8×D59—41no—
518Q8×D59—41no—
519#11745687—41no—
520#11745687—41no—
521#11745687—82no—
522D4×D59—22no—
523D4×D59—41no—
524D4×D59—41no—
525D4×D59—41no—
526D4×D59—82no—
527#11745685—41no—
528#11745685—41no—
529#11745685—41no—
530#11745685—41no—
531C2×D236—22no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—41no—
542C2×D236C2×D411yescharacteristic
543C2×D236C2411yescharacteristic
544C2×D236C2411yescharacteristic
545C2×D236C2411yescharacteristic
546C2×D236C2411yescharacteristic
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×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—82no—
562C2×C4×D59C2411yescharacteristic
563C2×C4×D59C2411yescharacteristic
564C2×Dic118—21no—
565C2×Dic118—21no—
566C2×Dic118C2×D411yescharacteristic
567C2×Dic118C2411yescharacteristic
568C2×Dic118C2411yescharacteristic
569Q16×C59—41no—
570SD16×C59—41no—
571SD16×C59—41no—
572D8×C59—41no—
573M16×C59—41no—
574M16×C59—41no—
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C2×C8×C59C2411yescharacteristic
578C2×C8×C59C2411yescharacteristic
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59—21no—
586C4⋊C4×C59—21no—
587C4⋊C4×C59C2411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C4⋊C4×C59C2411yescharacteristic
590C4⋊C4×C59C2411yescharacteristic
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C42×C59—21no—
602C42×C59—21no—
603C42×C59C2×D411yescharacteristic
604C42×C59C2×D411yescharacteristic
605C42×C59C2411yescharacteristic
606C42×C59C2411yescharacteristic
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59C2×D411yescharacteristic
612C22⋊Dic59C2×D411yescharacteristic
613#11745672—41no—
614#11745672—41no—
615#11745671—22no—
616#11745671—41no—
617#11745671—41no—
618#11745671—41no—
619#11745670—41no—
620#11745670—41no—
621#11745669—22no—
622#11745669—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)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2×D411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
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×Dic59C2411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694D472—22no—
695D472—22no—
696D472—41no—
697D472—41no—
698#11745660—22no—
699#11745660—22no—
700#11745660—41no—
701#11745660—41no—
702#11745659—41no—
703#11745659—41no—
704C8×D59—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59C22×D411yescharacteristic
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—42no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59C22×D411yescharacteristic
723C22×D59C22×D411yescharacteristic
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—42no—
733D4×C59—81no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—41no—
743C2×C4×C59—41no—
744C2×C4×C59—81no—
745C2×C4×C59—81no—
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C2511yescharacteristic
752C22⋊D59—41no—
753C22⋊D59—41no—
754C22⋊D59—42no—
755C22⋊D59—81no—
756C22⋊D59—81no—
757C22⋊D59—81no—
758C22⋊D59—81no—
759C22⋊D59—81no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—42no—
769C2×Dic59—81no—
770C2×Dic59—81no—
771C2×Dic59C22×D411yescharacteristic
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777D236—21no—
778D236—21no—
779D236—21no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—21no—
784D236—41no—
785D236—42no—
786D236—42no—
787D236—81no—
788D236—81no—
789D236—81no—
790D236—81no—
791D236—81no—
792D236—81no—
793D236—81no—
794D236H(5,𝔽2)12yes—
795C4×D59—21no—
796C4×D59—21no—
797C4×D59—21no—
798C4×D59—21no—
799C4×D59—42no—
800C4×D59—81no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813Dic118—21no—
814Dic118—21no—
815Dic118—21no—
816Dic118—21no—
817Dic118—41no—
818Dic118—81no—
819Dic118—81no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C8×C59—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827C59⋊C8—21no—
828#62027—591nomaximal, Sylow
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59C23×D411yescharacteristic
839C2×D59—21no—
840C2×D59—21no—
841C2×D59—21no—
842C2×D59—21no—
843C2×D59—21no—
844C2×D59—21no—
845C2×D59—22no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—84no—
858C2×D59—162no—
859C2×D59—162no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—21no—
863C4×C59—21no—
864C4×C59—21no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59—41no—
870C4×C59—41no—
871C4×C59C2×H(5,𝔽2)11yescharacteristic
872C4×C59#58511yescharacteristic
873Dic59—21no—
874Dic59—21no—
875Dic59—21no—
876Dic59—21no—
877Dic59—21no—
878Dic59—21no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883#3562—591no—
884#3513—591no—
885#3401—591no—
886#3396—591no—
887#3370—591no—
888#3360—591no—
889#3330—591no—
890#3327—591no—
891#3326—591no—
892#3317—591no—
893#3306—591no—
894#3297—591no—
895#3282—591no—
896#3274—591no—
897#3273—591no—
898#3273—591no—
899#3267—591no—
900#3265—591no—
901#3260—591no—
902#3257—591no—
903#3256D5911yescharacteristic, complemented
904#3225—591no—
905#3220—591no—
906#3212—591no—
907#3122—591no—
908#3120—591no—
909#3105—591no—
910#3045—591no—
911#3042—591no—
912#3036—591no—
913#2993—591no—
914C2×C59—41no—
915C2×C59—81no—
916C2×C59—81no—
917C2×C59#348811yescharacteristic
918C2×C59#358411yescharacteristic
919C2×C59#358511yescharacteristic
920D59—41no—
921D59—41no—
922D59—42no—
923D59—81no—
924D59—81no—
925D59—81no—
926C2×AGL(1,ℤ/8)—591no—
927C2×AGL(1,ℤ/8)—591no—
928C2×AGL(1,ℤ/8)—591no—
929C2×AGL(1,ℤ/8)—591no—
930C2×#135—591no—
931C22×SD16—591no—
932#562—1181no—
933#560—1181no—
934#559—591no—
935#559—591no—
936#556—591no—
937#554—591no—
938#553—591no—
939#553—1181no—
940#553—1181no—
941#552—591no—
942#551—1181no—
943#551—1181no—
944#551—1181no—
945#550—591no—
946#548—591no—
947#548—591no—
948#547—591no—
949#547—591no—
950#546—591no—
951#546—591no—
952#546—591no—
953#546—591no—
954#546—1181no—
955D42—591no—
956#542—591no—
957#541—591no—
958#540—591no—
959#540—591no—
960#540—1181no—
961#539—1181no—
962#539—1181no—
963#538—1181no—
964#538—1181no—
965#538—1181no—
966#536—591no—
967#535—591no—
968#532—591no—
969#529—591no—
970#529C2×D5911yescharacteristic, complemented
971#529C2×D5911yescharacteristic, complemented
972#525—1181no—
973C2×#123—1181no—
974#520—591no—
975#518—591no—
976C2×C4×D4—591no—
977#497—591no—
978#496—591no—
979#495—591no—
980#495—591no—
981#495—591no—
982#493—591no—
983#490—591no—
984#489—591no—
985#488—591no—
986#488—591no—
987#488—591no—
988#487—591no—
989#484—591no—
990#484—591no—
991#483—591no—
992#482—591no—
993#482—591no—
994#481—591no—
995#479—591no—
996#479—591no—
997#479C2×D5911yescharacteristic, complemented
998#479C2×D5911yescharacteristic, complemented
999#478—591no—
1000#478—591no—
1001#478C2×D5911yescharacteristic, complemented
1002#478C2×D5911yescharacteristic, complemented
1003#476—591no—
1004#474—591no—
1005#470C2×D5911yescharacteristic, complemented
1006#469—591no—
1007#469C2×D5911yescharacteristic
1008#468—591no—
1009#468—591no—
1010#468—591no—
1011#468C2×D5911yescharacteristic, complemented
1012#468C2×D5911yescharacteristic, complemented
1013#466—591no—
1014#465—591no—
1015#465—591no—
1016#465—591no—
1017#464—591no—
1018#464C2×D5911yescharacteristic, complemented
1019#464C2×D5911yescharacteristic, complemented
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463C2×D5911yescharacteristic, complemented
1032#463C2×D5911yescharacteristic, complemented
1033#462—591no—
1034#461—591no—
1035#461—591no—
1036#461—591no—
1037#461—591no—
1038#461—591no—
1039#460—591no—
1040#460—591no—
1041#460—591no—
1042#460—591no—
1043#459—591no—
1044#459—591no—
1045#459—591no—
1046#459—591no—
1047#452—591no—
1048#452—591no—
1049#452—591no—
1050#452—591no—
1051#452—591no—
1052#451—591no—
1053#450—591no—
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#448—591no—
1060#447—591no—
1061#447—591no—
1062#447—591no—
1063#447—591no—
1064#447—591no—
1065#446—591no—
1066C8×Q8—591no—
1067#442—591no—
1068#442—591no—
1069#441—591no—
1070#440—591no—
1071C4×Q16—591no—
1072C4×SD16—591no—
1073C4×SD16—591no—
1074C4×SD16—591no—
1075C4×D8—591no—
1076C4×D8—591no—
1077C4×D8—591no—
1078C4×D8—591no—
1079#436—591no—
1080#436—591no—
1081#436—591no—
1082#435—591no—
1083#435—591no—
1084C8×D4—591no—
1085#433—591no—
1086#433—591no—
1087#431—591no—
1088#424—591no—
1089#424—591no—
1090#423C2×D5911yescharacteristic, complemented
1091#419—591no—
1092#417—591no—
1093#417—591no—
1094#417—591no—
1095#416—591no—
1096C2×#102—591no—
1097C59#6202711yescharacteristic, complemented, Sylow
1098C2×#41—591no—
1099C2×#41—591no—
1100C2×#41—591no—
1101C2×#41—591no—
1102C2×#41—591no—
1103C2×#41—1181no—
1104C22×Q8—591no—
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—1181no—
1109C23×C4—1181no—
1110AGL(1,ℤ/8)—2362no—
1111AGL(1,ℤ/8)—2362no—
1112AGL(1,ℤ/8)—2362no—
1113AGL(1,ℤ/8)—2362no—
1114#135—2362no—
1115C2×Q16—591no—
1116C2×Q16—591no—
1117C2×Q16C22×D5911yescharacteristic
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—591no—
1128C2×SD16—2362no—
1129C2×SD16C22×D5911yescharacteristic
1130C2×SD16C22×D5911yescharacteristic
1131C2×D8—591no—
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8—591no—
1135C2×D8—591no—
1136C2×D8—591no—
1137C2×D8—591no—
1138C2×D8—591no—
1139C2×D8C22×D5911yescharacteristic
1140C2×M16—591no—
1141C2×M16—591no—
1142C2×M16C22×D5911yescharacteristic
1143C2×M16C22×D5911yescharacteristic
1144C22×C8—591no—
1145C22×C8—591no—
1146C4⋊Q8—591no—
1147C4⋊Q8—591no—
1148C4⋊Q8—591no—
1149#127—591no—
1150#127—591no—
1151#127—591no—
1152#127—1181no—
1153#126—21no—
1154#126—21no—
1155#126—591no—
1156#126—591no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#125—591no—
1165#125—591no—
1166#125—1181no—
1167#125—1181no—
1168#125—1181no—
1169#125C22×D5911yescharacteristic
1170#125C22×D5911yescharacteristic
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—591no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124C22×D5911yescharacteristic
1183#124C22×D5911yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—591no—
1187#123—591no—
1188#123—1181no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8C22×D5911yescharacteristic
1224C22⋊Q8C22×D5911yescharacteristic
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—591no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121C22×D5911yescharacteristic
1251#121C22×D5911yescharacteristic
1252#120—1181no—
1253#120—1181no—
1254#120—1181no—
1255#120—1181no—
1256#120—1181no—
1257#120—1181no—
1258#120—1181no—
1259#120—1181no—
1260C4×Q8—591no—
1261C4×Q8—591no—
1262C4×Q8—591no—
1263C4×Q8—591no—
1264C4×Q8C22×D5911yescharacteristic
1265C4×Q8C22×D5911yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—591no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296#117—21no—
1297#117—21no—
1298#117—591no—
1299#117—591no—
1300#117—591no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304C2×C4⋊C4—591no—
1305C2×C4⋊C4—591no—
1306C2×C4⋊C4—1181no—
1307C2×C4⋊C4—1181no—
1308C2×C4⋊C4—1181no—
1309C2×C22⋊C4—1181no—
1310C2×C22⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C42C22×D5911yescharacteristic
1317#107—591no—
1318#107—591no—
1319#107C22×D5911yescharacteristic
1320#107C22×D5911yescharacteristic
1321#106—591no—
1322#106—591no—
1323#106C22×D5911yescharacteristic
1324#106C22×D5911yescharacteristic
1325C4⋊C8—591no—
1326C4⋊C8—591no—
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8C22×D5911yescharacteristic
1332C4⋊C8C22×D5911yescharacteristic
1333C4⋊C8C22×D5911yescharacteristic
1334C4⋊C8C22×D5911yescharacteristic
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103—591no—
1344#103—591no—
1345#103C22×D5911yescharacteristic
1346#103C22×D5911yescharacteristic
1347#103C22×D5911yescharacteristic
1348#103C22×D5911yescharacteristic
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102C22×D5911yescharacteristic
1364#102C22×D5911yescharacteristic
1365#102C22×D5911yescharacteristic
1366#102C22×D5911yescharacteristic
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8—591no—
1370C22⋊C8—591no—
1371C22⋊C8—591no—
1372C22⋊C8—591no—
1373#97—591no—
1374#97—591no—
1375C4×C8—591no—
1376C4×C8—591no—
1377C4×C8—591no—
1378C4×C8—591no—
1379C24—1181no—
1380C24—1181no—
1381C24—1181no—
1382#41—1182no—
1383#41—4722no—
1384#41—2361no—
1385#41—2361no—
1386#41—2361no—
1387#41—2361no—
1388#41—2361no—
1389#41—2361no—
1390#41—2361no—
1391#41—2361no—
1392#41—2361no—
1393C2×Q8—591no—
1394C2×Q8—591no—
1395C2×Q8—591no—
1396C2×Q8—1181no—
1397C2×Q8—1181no—
1398C2×Q8—2361no—
1399C2×Q8—2361no—
1400C2×Q8C23×D5911yescharacteristic
1401C2×Q8C23×D5911yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—591no—
1405C2×D4—591no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—591no—
1410C2×D4—591no—
1411C2×D4—1182no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1182no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—4722no—
1433C2×D4—2361no—
1434C2×D4—2361no—
1435C2×D4—2361no—
1436C2×D4—2361no—
1437C2×D4C23×D5911yescharacteristic
1438C2×D4C23×D5911yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—591no—
1442C22×C4—591no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—4722no—
1461C22×C4D4×D5911yescharacteristic
1462C22×C4D4×D5911yescharacteristic
1463C22×C4C23×D5911yescharacteristic
1464Q16—41no—
1465Q16—2361no—
1466Q16—2361no—
1467SD16—41no—
1468SD16—41no—
1469SD16—1182no—
1470SD16—1182no—
1471SD16—1182no—
1472SD16—2361no—
1473SD16—2361no—
1474SD16—2361no—
1475SD16—2361no—
1476SD16—2361no—
1477SD16—2361no—
1478SD16—2361no—
1479D8—41no—
1480D8—1182no—
1481D8—1182no—
1482D8—1182no—
1483D8—2361no—
1484D8—2361no—
1485D8—2361no—
1486D8—2361no—
1487D8—2361no—
1488M16—41no—
1489M16—41no—
1490M16—2361no—
1491M16—2361no—
1492C2×C8—591no—
1493C2×C8—591no—
1494C2×C8—591no—
1495C2×C8—591no—
1496C2×C8—2361no—
1497C2×C8—2361no—
1498C2×C8C23×D5911yescharacteristic
1499C2×C8C23×D5911yescharacteristic
1500C2×C8C23×D5911yescharacteristic
1501C2×C8C23×D5911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
1514C4⋊C4—591no—
1515C4⋊C4—591no—
1516C4⋊C4—591no—
1517C4⋊C4—591no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4C23×D5911yescharacteristic
1538C4⋊C4C23×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C4⋊C4C23×D5911yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—591no—
1552C22⋊C4—591no—
1553C22⋊C4—591no—
1554C22⋊C4—591no—
1555C22⋊C4—591no—
1556C22⋊C4—591no—
1557C22⋊C4—591no—
1558C22⋊C4—591no—
1559C22⋊C4—591no—
1560C22⋊C4—591no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊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—
1589C42—21no—
1590C42—21no—
1591C42—591no—
1592C42—591no—
1593C42—1181no—
1594C42—1181no—
1595C42—1181no—
1596C42—1181no—
1597C42D4×D5911yescharacteristic
1598C42D4×D5911yescharacteristic
1599C42C23×D5911yescharacteristic
1600C42C23×D5911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—591no—
1604C23—591no—
1605C23—1181no—
1606C23—1181no—
1607C23—1181no—
1608C23—1181no—
1609C23—4721no—
1610C23—4721no—
1611C23—4721no—
1612C23—4721no—
1613C23—4721no—
1614C23—4721no—
1615C23—2362no—
1616C23—2362no—
1617C23—2362no—
1618C23C2×D4×D5911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—1181no—
1624Q8—1181no—
1625Q8—1181no—
1626Q8—1181no—
1627Q8—4721no—
1628Q8—4721no—
1629Q8—2361no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—42no—
1635D4—81no—
1636D4—592no—
1637D4—1181no—
1638D4—1181no—
1639D4—1181no—
1640D4—1181no—
1641D4—1181no—
1642D4—1181no—
1643D4—1181no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—4721no—
1654D4—4721no—
1655D4—4721no—
1656D4—4721no—
1657D4—4721no—
1658D4—4721no—
1659D4—4721no—
1660D4—2361no—
1661D4—2362no—
1662D4—2362no—
1663D4—2361no—
1664D4—2361no—
1665D4—2362no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—591no—
1679C2×C4—591no—
1680C2×C4—591no—
1681C2×C4—591no—
1682C2×C4—591no—
1683C2×C4—591no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—4721no—
1693C2×C4—4721no—
1694C2×C4—4721no—
1695C2×C4—4721no—
1696C2×C4—4721no—
1697C2×C4—4721no—
1698C2×C4—4721no—
1699C2×C4—4721no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—4721no—
1703C2×C4—4721no—
1704C2×C4—4721no—
1705C2×C4—4721no—
1706C2×C4—4721no—
1707C2×C4—2362no—
1708C2×C4—2362no—
1709C2×C4C2×D4×D5911yescharacteristic
1710C2×C4C2×D4×D5911yescharacteristic
1711C2×C4C2×D4×D5911yescharacteristic
1712C2×C4C2×D4×D5911yescharacteristic
1713C2×C4C2×D4×D5911yescharacteristic
1714C2×C4C24×D5911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1181no—
1720C8—1181no—
1721C8—1181no—
1722C8—1181no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—1181no—
1733C22—1181no—
1734C22—1182no—
1735C22—1181no—
1736C22—1181no—
1737C22—1181no—
1738C22—1181no—
1739C22—9442no—
1740C22—9442no—
1741C22—4724no—
1742C22—2361no—
1743C22—2361no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22C22×D4×D5911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—1181no—
1766C4—1181no—
1767C4—1181no—
1768C4—1181no—
1769C4—1181no—
1770C4—1181no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C4H(5,𝔽2)×D5911yescharacteristic
1776C4#1683823911yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—4721no—
1781C2—4721no—
1782C2—4721no—
1783C2—2361no—
1784C2—2361no—
1785C2—2362no—
1786C2#2143776011yescharacteristic
1787C2#2143886911yescharacteristic
1788C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3256C2
socleC22×C59C23×D4
hypercenter#3256D59
hypocenterC59#62027
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3256

Complements

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

NH ≅ G/Ntype
1. #21438676C2semidirect
2. #21438030C2semidirect
3. #21437166C2semidirect
4. #21437103C2semidirect
5. #21436847C2semidirect
6. #21436748C2semidirect
7. #21436396C2semidirect
8. #21436359C2semidirect
9. #21436346C2semidirect
10. #21436217C2semidirect
11. #21436052C2semidirect
12. #21435943C2semidirect
13. #21435798C2semidirect
14. #21435713C2semidirect
15. #21435704C2semidirect
16. #21435702C2semidirect
17. #21435628C2semidirect
18. #21435598C2semidirect
19. #21435544C2semidirect
20. #21435513C2semidirect
21. #21435210C2semidirect
22. #21435143C2semidirect
23. #21435068C2semidirect
24. #21434341C2semidirect
25. #21434317C2semidirect
26. #21434139C2semidirect
27. #21433638C2semidirect
28. #21433606C2semidirect
29. #21433562C2semidirect
30. #21433241C2semidirect
31. C59×#3256C2semidirect
33. C2×#14273755C22semidirect
37. C2×SD16×D59C22semidirect
40. #16838135C22semidirect
41. #16838134C22semidirect
42. #16838124C22semidirect
43. #16838108C22semidirect
47. #16838094C22semidirect
52. #16838064C22semidirect
54. #16838054C22semidirect
56. #16838049C22semidirect
58. #16838047C22semidirect
61. #16838036C22semidirect
62. #16838024C22semidirect
63. #16838015C22semidirect
64. #16838008C22semidirect
72. #16837972C22semidirect
73. #16837970C22semidirect
74. #16837952C22semidirect
79. #16837874C22semidirect
80. C2×C4×D236C22semidirect
81. #16837795C22semidirect
83. #16837784C22semidirect
84. #16837784C22semidirect
85. #16837783C22semidirect
87. #16837765C22semidirect
88. #16837760C22semidirect
89. #16837759C22semidirect
90. #16837759C22semidirect
91. #16837758C22semidirect
92. #16837751C22semidirect
93. #16837739C22semidirect
94. #16837735C22semidirect
95. #16837734C22semidirect
96. #16837729C22semidirect
97. #16837728C22semidirect
98. #16837718C22semidirect
99. #16837712C22semidirect
100. #16837708C22semidirect
101. #16837699C22semidirect
102. #16837699C22semidirect
103. #16837691C22semidirect
104. #16837681C22semidirect
105. #16837656C22semidirect
106. #16837651C22semidirect
107. #16837649C22semidirect
108. #16837647C22semidirect
110. #16837634C22semidirect
111. #16837632C22semidirect
112. #16837630C22semidirect
113. #16837626C22semidirect
115. #16837620C22semidirect
116. #16837620C22semidirect
118. #16837618C22semidirect
119. #16837618C22semidirect
120. #16837618C22semidirect
122. #16837615C22semidirect
124. #16837614C22semidirect
125. #16837612C22semidirect
126. #16837608C22semidirect
127. #16837608C22semidirect
128. #16837607C22semidirect
129. #16837606C22semidirect
130. #16837605C22semidirect
131. #16837602C22semidirect
132. #16837601C22semidirect
133. #16837601C22semidirect
134. #16837600C22semidirect
136. #16837598C22semidirect
137. #16837597C22semidirect
141. #16837562C22semidirect
142. #16837562C22semidirect
143. #16837561C22semidirect
144. #16837556C22semidirect
145. #16837552C22semidirect
146. #16837550C22semidirect
148. #16837546C22semidirect
150. #16837545C22semidirect
151. #16837542C22semidirect
153. #16837537C22semidirect
154. #16837537C22semidirect
156. #16837534C22semidirect
157. #16837529C22semidirect
158. #16837526C22semidirect
159. #16837513C22semidirect
160. #16837511C22semidirect
161. #16837506C22semidirect
162. #16837501C22semidirect
163. #16837494C22semidirect
164. C4×#11745671C22semidirect
165. C4×#11745671C22semidirect
166. #16837489C22semidirect
169. C4×#11745669C22semidirect
170. #16837482C22semidirect
171. #16837479C22semidirect
172. #16837478C22semidirect
173. #16837478C22semidirect
174. #16837471C22semidirect
175. #16837471C22semidirect
176. #16837467C22semidirect
177. #16837462C22semidirect
178. #16837462C22semidirect
179. #16837455C22semidirect
180. #16837427C22semidirect
181. #16837427C22semidirect
182. #16837409C22semidirect
183. #16837404C22semidirect
184. #16837404C22semidirect
185. #16837402C22semidirect
186. #16837395C22semidirect
187. #102×D59C22semidirect
188. C59×#529C22semidirect
189. C59×#529C22semidirect
190. C59×#479C22semidirect
191. C59×#479C22semidirect
192. C59×#478C22semidirect
193. C59×#478C22semidirect
194. C59×#470C22semidirect
196. C59×#468C22semidirect
197. C59×#468C22semidirect
198. C59×#464C22semidirect
199. C59×#464C22semidirect
200. C59×#463C22semidirect
201. C59×#463C22semidirect
202. C59×#423C22semidirect
903. #3256D59semidirect
970. #529C2×D59semidirect
971. #529C2×D59semidirect
997. #479C2×D59semidirect
998. #479C2×D59semidirect
1001. #478C2×D59semidirect
1002. #478C2×D59semidirect
1005. #470C2×D59semidirect
1011. #468C2×D59semidirect
1012. #468C2×D59semidirect
1018. #464C2×D59semidirect
1019. #464C2×D59semidirect
1031. #463C2×D59semidirect
1032. #463C2×D59semidirect
1090. #423C2×D59semidirect
1097. C59#62027semidirect

Maximal subgroups

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

subgroupindex
#214386762
#214380302
#214371662
#214371032
#214368472
#214367482
#214363962
#214363592
#214363462
#214362172
#214360522
#214359432
#214357982
#214357132
#214357042
#214357022
#214356282
#214355982
#214355442
#214355132
#214352102
#214351432
#214350682
#214343412
#214343172
#214341392
#214336382
#214336062
#214335622
#214332412
C59×#32562
#6202759