Finite Group Databasebeta

← #29481160

Subgroups — #29481160

Order 15104.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437966C211yesmaximal, characteristic, complemented
2#21437647C211yesmaximal, characteristic, complemented
3#21437165C211yesmaximal, characteristic, complemented
4#21437157C211yesmaximal, characteristic, complemented
5#21436850C211yesmaximal, characteristic, complemented
6#21436842C211yesmaximal, characteristic, complemented
7#21436307C211yesmaximal, characteristic, complemented
8#21436305C211yesmaximal, characteristic, complemented
9#21436258C211yesmaximal, characteristic, complemented
10#21436256C211yesmaximal, characteristic, complemented
11#21436224C211yesmaximal, characteristic, complemented
12#21436222C211yesmaximal, characteristic, complemented
13#21435707C211yesmaximal, characteristic, complemented
14#21435701C211yesmaximal, characteristic, complemented
15#21435632C211yesmaximal, characteristic, complemented
16#21435621C211yesmaximal, characteristic, complemented
17#21435614C211yesmaximal, characteristic, complemented
18#21435478C211yesmaximal, characteristic, complemented
19#21435466C211yesmaximal, characteristic, complemented
20#21435415C211yesmaximal, characteristic, complemented
21#21435110C211yesmaximal, characteristic, complemented
22#21435104C211yesmaximal, characteristic, complemented
23#21435069C211yesmaximal, characteristic, complemented
24#21434254C211yesmaximal, characteristic, complemented
25#21434182C211yesmaximal, characteristic, complemented
26#21434149C211yesmaximal, characteristic, complemented
27#21433571C211yesmaximal, characteristic, complemented
28#21433557C211yesmaximal, characteristic, complemented
29#21433547C211yesmaximal, characteristic, complemented
30#21433208C211yesmaximal, characteristic, complemented
31C59×#3268C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic, complemented
33C2×#14273751C2211yescharacteristic
34C2×#14273751C2211yescharacteristic
35C2×#14273747C2211yescharacteristic, complemented
36#16838138C2211yescharacteristic, complemented
37#16838137C2211yescharacteristic, complemented
38#16838135—21no—
39#16838121C2211yescharacteristic, complemented
40#16838116C2211yescharacteristic
41#16838111C2211yescharacteristic, complemented
42#16838095—21no—
43#16838094C2211yescharacteristic
44#16838092C2211yescharacteristic, complemented
45#16838089—21no—
46#16838083—21no—
47#16838078—21no—
48#16838073C2211yescharacteristic
49#16838072—21no—
50#16838051C2211yescharacteristic
51#16838049C2211yescharacteristic
52#16838049C2211yescharacteristic, complemented
53#16838046C2211yescharacteristic
54#16838041—21no—
55#16838041—21no—
56#16838040C2211yescharacteristic
57#16838040C2211yescharacteristic, complemented
58#16838002—21no—
59#16838002—21no—
60#16837965—21no—
61#16837956C2211yescharacteristic, complemented
62#16837954C2211yescharacteristic, complemented
63#16837948C2211yescharacteristic
64#16837948C2211yescharacteristic, complemented
65#16837947C2211yescharacteristic
66#16837947C2211yescharacteristic, complemented
67#127×D59C2211yescharacteristic, complemented
68#16837933—21no—
69#16837933C2211yescharacteristic, complemented
70#16837931C2211yescharacteristic
71#16837929—21no—
72#16837908—21no—
73#16837874—21no—
74#41×Dic59C2211yescharacteristic, complemented
75C4×#11745687C2211yescharacteristic
76C4×#11745687C2211yescharacteristic
77C2×D4×Dic59C2211yescharacteristic, complemented
78C2×#14273683—21no—
79#16837795C2211yescharacteristic, complemented
80#16837793C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic
82#16837785C2211yescharacteristic, complemented
83#16837783C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic, complemented
89#16837755C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837723C2211yescharacteristic, complemented
94#16837721C2211yescharacteristic, complemented
95#16837718C2211yescharacteristic, complemented
96#16837710C2211yescharacteristic, complemented
97#16837709C2211yescharacteristic, complemented
98#16837705C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic, complemented
100#16837696C2211yescharacteristic, complemented
101#16837695C2211yescharacteristic, complemented
102#16837690C2211yescharacteristic, complemented
103#16837690C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837659C2211yescharacteristic, complemented
107#16837657C2211yescharacteristic, complemented
108#16837650C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic
111#16837646C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic
113#16837636C2211yescharacteristic, complemented
114#16837631C2211yescharacteristic, complemented
115#16837629C2211yescharacteristic, complemented
116#16837626C2211yescharacteristic, complemented
117#16837622C2211yescharacteristic, complemented
118#16837621C2211yescharacteristic, complemented
119#16837619C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837615C2211yescharacteristic, complemented
127#16837611C2211yescharacteristic, complemented
128#16837610C2211yescharacteristic, complemented
129#16837606C2211yescharacteristic, complemented
130#16837605C2211yescharacteristic, complemented
131#16837605C2211yescharacteristic, complemented
132#16837605C2211yescharacteristic, complemented
133#16837603C2211yescharacteristic, complemented
134#16837601C2211yescharacteristic, complemented
135#16837601C2211yescharacteristic, complemented
136#16837600C2211yescharacteristic, complemented
137#16837600C2211yescharacteristic, complemented
138#16837599C2211yescharacteristic, complemented
139#16837597C2211yescharacteristic
140#16837595C2211yescharacteristic
141#16837595C2211yescharacteristic
142#16837595C2211yescharacteristic
143#16837595C2211yescharacteristic
144#16837566C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic, complemented
146#16837565C2211yescharacteristic
147#16837564C2211yescharacteristic, complemented
148#16837564C2211yescharacteristic, complemented
149#16837562C2211yescharacteristic, complemented
150#16837561C2211yescharacteristic
151#16837551C2211yescharacteristic, complemented
152#16837551C2211yescharacteristic, complemented
153#16837547C2211yescharacteristic, complemented
154#16837545C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic
157#16837534C2211yescharacteristic
158#16837531C2211yescharacteristic, complemented
159#16837530C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837511C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837510C2211yescharacteristic, complemented
165#16837507C2211yescharacteristic, complemented
166#16837502C2211yescharacteristic, complemented
167SD16×Dic59C2211yescharacteristic, complemented
168#16837487C2211yescharacteristic, complemented
169D8×Dic59C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic
172#16837477C2211yescharacteristic
173#16837474C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic, complemented
179#16837425C2211yescharacteristic, complemented
180#16837424C2211yescharacteristic, complemented
181C2×Dic59⋊C8C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837404C2211yescharacteristic, complemented
185#16837403C2211yescharacteristic, complemented
186#16837399C2211yescharacteristic, complemented
187#16837398C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#550C2211yescharacteristic
191C59×#546C2211yescharacteristic, complemented
192C59×#496C2211yescharacteristic
193C59×#468C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic
197C59×#452C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745687—21no—
206C2×#11745687—21no—
207C2×#11745687D411yescharacteristic
208C2×#11745687C2311yescharacteristic
209C2×D4×D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213C23×Dic59—21no—
214#14273753—42no—
215#14273751—42no—
216#14273751—42no—
217#14273747—42no—
218C2×Dic236C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745664C2311yescharacteristic
234C2×#11745659C2311yescharacteristic
235C2×#11745659C2311yescharacteristic
236C22×C59⋊C8C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273726C2311yescharacteristic
239#14273725C2311yescharacteristic
240#14273725C2311yescharacteristic
241#14273724C2311yescharacteristic
242#14273723—21no—
243#14273723—21no—
244#14273723—21no—
245#14273723C2311yescharacteristic
246#14273723C2311yescharacteristic
247#14273722—21no—
248#14273720—21no—
249#14273720—21no—
250#14273720—21no—
251#14273720—21no—
252#14273720—21no—
253#14273719C2311yescharacteristic
254#14273718—21no—
255#14273718C2311yescharacteristic
256#14273717—21no—
257#14273717—21no—
258#14273717—21no—
259#14273716C2311yescharacteristic
260#14273716C2311yescharacteristic
261#14273715—21no—
262#14273714—21no—
263#14273714—21no—
264#14273714C2311yescharacteristic
265#14273714C2311yescharacteristic
266#14273714C2311yescharacteristic
267#14273713—21no—
268#14273713—21no—
269#14273713—21no—
270#14273712—21no—
271#14273712—21no—
272#14273711—21no—
273#14273710—21no—
274#14273710—21no—
275#14273710—21no—
276#14273709—21no—
277#14273709—21no—
278#14273709—21no—
279#14273708—21no—
280#14273708—21no—
281#14273708—21no—
282#14273708—21no—
283#14273708—21no—
284#14273708—21no—
285#14273707C2311yescharacteristic
286#14273706—21no—
287#14273706C2311yescharacteristic
288#14273706C2311yescharacteristic
289#14273705—21no—
290#14273704—21no—
291#14273704—21no—
292#14273704—21no—
293#14273704—21no—
294#14273703C2311yescharacteristic
295#14273703C2311yescharacteristic
296#14273701C2311yescharacteristic
297#14273701C2311yescharacteristic
298#14273700—21no—
299#14273700—21no—
300#14273699—21no—
301#14273699—21no—
302#14273699—21no—
303#14273699—21no—
304#14273699—21no—
305#14273699—21no—
306#14273699—21no—
307#14273699—21no—
308#14273699—21no—
309#14273699—21no—
310#14273699—21no—
311#14273698—21no—
312#14273698—21no—
313#14273698C2311yescharacteristic
314#14273696—21no—
315#14273695—21no—
316#14273695—21no—
317#14273695—21no—
318#14273695—21no—
319Q8×Dic59C2311yescharacteristic
320Q8×Dic59C2311yescharacteristic
321C4×Dic118—21no—
322C4×Dic118C2311yescharacteristic
323C4×Dic118C2311yescharacteristic
324C4×Dic118C2311yescharacteristic
325#14273692—21no—
326#14273692D411yescharacteristic
327#14273692C2311yescharacteristic
328C4×D236—21no—
329D4×Dic59—21no—
330D4×Dic59—21no—
331D4×Dic59—21no—
332D4×Dic59—21no—
333D4×Dic59—21no—
334D4×Dic59—21no—
335D4×Dic59D411yescharacteristic
336D4×Dic59C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340D4×Dic59C2311yescharacteristic
341D4×Dic59C2311yescharacteristic
342D4×Dic59C2311yescharacteristic
343#14273689—21no—
344#14273689C2311yescharacteristic
345#14273689C2311yescharacteristic
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59C2311yescharacteristic
352C4×C22⋊D59C2311yescharacteristic
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4D411yescharacteristic
358(C22⋊D59)⋊C4D411yescharacteristic
359#14273686—21no—
360#14273686C2311yescharacteristic
361#14273685D411yescharacteristic
362#14273685C2311yescharacteristic
363#14273684—21no—
364#14273683—21no—
365#14273683—21no—
366#14273683—21no—
367#14273683—21no—
368#14273683—21no—
369#14273683—21no—
370#14273683—21no—
371#14273683—21no—
372#14273683D411yescharacteristic
373#14273683D411yescharacteristic
374C2×C4⋊Dic59C2311yescharacteristic
375C2×Dic59⋊C4—21no—
376C2×Dic59⋊C4—21no—
377C2×C22⋊Dic59—21no—
378C2×C22⋊Dic59—21no—
379C2×(C2×D59)⋊C4—21no—
380C2×(C2×D59)⋊C4—21no—
381C22⋊C4×D59—21no—
382C22⋊C4×D59—21no—
383C2×C4×Dic59—21no—
384C2×C4×Dic59—21no—
385C2×C4×Dic59C2311yescharacteristic
386C2×C4×Dic59C2311yescharacteristic
387C42×D59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443AGL(1,ℤ/8)×C59—42no—
444#135×C59—42no—
445C2×Q16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456#127×C59—21no—
457#127×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59—21no—
462#121×C59—21no—
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#120×C59—21no—
468C4×Q8×C59C2311yescharacteristic
469C4×D4×C59—21no—
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472C2×C22⋊C4×C59—21no—
473#107×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—22no—
488#41×C59—41no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—41no—
492#41×C59—41no—
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—22no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—41no—
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59C2×D411yescharacteristic
530C2×C22⋊D59C2×D411yescharacteristic
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—44no—
541C22×Dic59C2×D411yescharacteristic
542C22×Dic59C2×D411yescharacteristic
543C22×Dic59C2×D411yescharacteristic
544C22×Dic59C2×D411yescharacteristic
545#11745687—22no—
546#11745687—41no—
547#11745687—42no—
548#11745687—82no—
549#11745687—82no—
550D4×D59—41no—
551D4×D59—41no—
552D4×D59—41no—
553D4×D59—41no—
554D4×D59—44no—
555D4×D59—82no—
556#11745685—41no—
557#11745685—41no—
558#11745685—41no—
559#11745685—41no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236C2411yescharacteristic
563C2×D236C2411yescharacteristic
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59C2×D411yescharacteristic
569C2×C4×D59C2×D411yescharacteristic
570C2×C4×D59C2411yescharacteristic
571C2×Dic118—21no—
572C2×Dic118—21no—
573C2×Dic118C2×D411yescharacteristic
574C2×Dic118C2411yescharacteristic
575C2×Dic118C2411yescharacteristic
576Q16×C59—41no—
577SD16×C59—22no—
578SD16×C59—41no—
579SD16×C59—41no—
580SD16×C59—41no—
581D8×C59—22no—
582D8×C59—22no—
583D8×C59—41no—
584D8×C59—41no—
585M16×C59—41no—
586C2×C8×C59—41no—
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C2×C8×C59C2411yescharacteristic
590C2×C8×C59C2411yescharacteristic
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59C2×D411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59C2×D411yescharacteristic
604C22⋊C4×C59C2×D411yescharacteristic
605C42×C59—21no—
606C42×C59C2411yescharacteristic
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59C2×D411yescharacteristic
625C22⋊Dic59C2×D411yescharacteristic
626#11745672—41no—
627#11745672—41no—
628#11745671—41no—
629#11745671—41no—
630#11745670—22no—
631#11745670—41no—
632#11745670—41no—
633#11745670—41no—
634#11745669—22no—
635#11745669—22no—
636#11745669—41no—
637#11745669—41no—
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)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59C2×D411yescharacteristic
658C4⋊Dic59C2411yescharacteristic
659C4⋊Dic59C2411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2×D411yescharacteristic
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2×D411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C4×Dic59C2411yescharacteristic
697C4×Dic59C2411yescharacteristic
698#11745664—41no—
699C2×C59⋊C8—41no—
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704Dic236—41no—
705#11745660—41no—
706#11745660—41no—
707#11745659—41no—
708#11745659—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—42no—
714C23×C59—42no—
715C23×C59—81no—
716C23×C59C22×D411yescharacteristic
717C23×C59C22×D411yescharacteristic
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59C22×D411yescharacteristic
727Q8×C59—21no—
728Q8×C59—21no—
729Q8×C59—21no—
730Q8×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—41no—
739D4×C59—42no—
740D4×C59—42no—
741D4×C59—42no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59H(5,𝔽2)12yes—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—42no—
758C2×C4×C59—81no—
759C2×C4×C59—81no—
760C2×C4×C59—81no—
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C2511yescharacteristic
766C22⋊D59—41no—
767C22⋊D59—41no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—42no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C2×Dic59—22no—
781C2×Dic59—22no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—41no—
789C2×Dic59—41no—
790C2×Dic59—42no—
791C2×Dic59—42no—
792C2×Dic59—42no—
793C2×Dic59—42no—
794C2×Dic59—42no—
795C2×Dic59—42no—
796C2×Dic59—81no—
797C2×Dic59—81no—
798C2×Dic59—81no—
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806D236—21no—
807D236—21no—
808D236—21no—
809D236—21no—
810D236—42no—
811D236—81no—
812C4×D59—21no—
813C4×D59—21no—
814C4×D59—22no—
815C4×D59—41no—
816C4×D59—81no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820Dic118—21no—
821Dic118—21no—
822Dic118—21no—
823Dic118—21no—
824Dic118—41no—
825Dic118—42no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#61968—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—22no—
839C22×C59—21no—
840C22×C59—21no—
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—84no—
855C22×C59C23×D411yescharacteristic
856C2×D59—21no—
857C2×D59—21no—
858C2×D59—21no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—162no—
866C2×D59—162no—
867C4×C59—21no—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59C2×H(5,𝔽2)11yescharacteristic
876C4×C59#58511yescharacteristic
877Dic59—21no—
878Dic59—21no—
879Dic59—21no—
880Dic59—21no—
881Dic59—21no—
882Dic59—21no—
883Dic59—41no—
884Dic59—41no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59#57512yes—
890#3508—591no—
891#3475—591no—
892#3401—591no—
893#3401—591no—
894#3370—591no—
895#3370—591no—
896#3323—591no—
897#3323—591no—
898#3319—591no—
899#3319—591no—
900#3317—591no—
901#3317—591no—
902#3273—591no—
903#3273—591no—
904#3268—591no—
905#3268D5911yescharacteristic, complemented
906#3267—591no—
907#3267—591no—
908#3254—591no—
909#3252—591no—
910#3247—591no—
911#3217—591no—
912#3216—591no—
913#3212—591no—
914#3116—591no—
915#3109—591no—
916#3106—591no—
917#3038—591no—
918#3036—591no—
919#3035—591no—
920#2989—591no—
921C2×C59—41no—
922C2×C59—41no—
923C2×C59—42no—
924C2×C59—81no—
925C2×C59—81no—
926C2×C59—81no—
927C2×C59#348811yescharacteristic
928C2×C59C2×#57511yescharacteristic
929C2×C59#358511yescharacteristic
930D59—41no—
931D59—81no—
932D59—81no—
933C2×AGL(1,ℤ/8)—591no—
934C2×AGL(1,ℤ/8)—591no—
935C2×AGL(1,ℤ/8)—591no—
936C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
937C2×#135—591no—
938C2×#135C2×D5911yescharacteristic, complemented
939#559—591no—
940#559—591no—
941#559—1181no—
942#556—591no—
943#555—591no—
944#554—591no—
945#553—1181no—
946#552—591no—
947#552—591no—
948#552—1181no—
949#551—1181no—
950#551—1181no—
951#550—591no—
952#550—1181no—
953#550C2×D5911yescharacteristic
954#547—591no—
955#546—591no—
956#546—591no—
957#546—591no—
958#546—591no—
959#546—591no—
960#546—1181no—
961#546—1181no—
962#546C2×D5911yescharacteristic, complemented
963#540—1181no—
964#540—1181no—
965#535—1181no—
966#533—591no—
967#533—591no—
968#532—591no—
969#532—591no—
970#532—591no—
971#532—591no—
972C2×#127—591no—
973#529—591no—
974#529—591no—
975#529—1181no—
976#529—1181no—
977#525—1181no—
978#518—1181no—
979C4×#41—591no—
980C4×#41—591no—
981C4×#41—591no—
982C2×C4×D4—591no—
983C2×#117—1181no—
984#497—591no—
985#497—591no—
986#496—591no—
987#496C2×D5911yescharacteristic
988#495—591no—
989#495—591no—
990#490—591no—
991#490—591no—
992#489—591no—
993#489—591no—
994#488—591no—
995#488—591no—
996#485—591no—
997#485—591no—
998#482—591no—
999#482—591no—
1000#481—591no—
1001#481—591no—
1002#479—591no—
1003#479—591no—
1004#478—591no—
1005#478—591no—
1006#477—591no—
1007#477—591no—
1008#476—591no—
1009#476—591no—
1010#474—591no—
1011#474—591no—
1012#470—591no—
1013#470—591no—
1014#468—591no—
1015#468—591no—
1016#468—591no—
1017#468—591no—
1018#468—591no—
1019#468C2×D5911yescharacteristic, complemented
1020#466—591no—
1021#466C2×D5911yescharacteristic, complemented
1022#465—591no—
1023#465—591no—
1024#464—591no—
1025#464—591no—
1026#464—591no—
1027#464C2×D5911yescharacteristic, complemented
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#462—591no—
1037#462—591no—
1038#461—591no—
1039#461—591no—
1040#461—591no—
1041#461—591no—
1042#460—591no—
1043#460—591no—
1044#460—591no—
1045#460—591no—
1046#460—591no—
1047#460—591no—
1048#459—591no—
1049#459—591no—
1050#459—591no—
1051#459—591no—
1052#459—591no—
1053#459C2×D5911yescharacteristic
1054#452—591no—
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#452—591no—
1059#452—591no—
1060#452—591no—
1061#452C2×D5911yescharacteristic, complemented
1062#450—591no—
1063#450—591no—
1064#449—591no—
1065#449—591no—
1066#449C2×D5911yescharacteristic, complemented
1067#449C2×D5911yescharacteristic, complemented
1068#447—591no—
1069#447—591no—
1070#447—591no—
1071#447C2×D5911yescharacteristic, complemented
1072#446—591no—
1073#446—591no—
1074#442—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#441—591no—
1079#441—591no—
1080#440—591no—
1081#440C2×D5911yescharacteristic, complemented
1082C4×SD16—591no—
1083C4×SD16—591no—
1084C4×D8—591no—
1085C4×D8—591no—
1086#436—591no—
1087#436—591no—
1088#435—591no—
1089#435—591no—
1090#435—591no—
1091#435C2×D5911yescharacteristic, complemented
1092#432—591no—
1093#432—591no—
1094#431—591no—
1095#423—591no—
1096#423—591no—
1097C2×C4⋊C8—591no—
1098#418—591no—
1099#418—591no—
1100#417—591no—
1101#417—591no—
1102#416—591no—
1103#416—591no—
1104C59#6196811yescharacteristic, complemented, Sylow
1105C2×#41—591no—
1106C2×#41—591no—
1107C2×#41—591no—
1108C2×#41—591no—
1109C2×#41—1181no—
1110C2×#41—1181no—
1111C2×#41C22×D5911yescharacteristic
1112C2×#41C22×D5911yescharacteristic
1113C2×#41C22×D5911yescharacteristic
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—1181no—
1117C22×D4—1181no—
1118C22×D4C22×D5911yescharacteristic
1119C23×C4—1181no—
1120AGL(1,ℤ/8)—42no—
1121AGL(1,ℤ/8)—2362no—
1122AGL(1,ℤ/8)—2362no—
1123AGL(1,ℤ/8)—2362no—
1124#135—42no—
1125#135—2362no—
1126C2×Q16—591no—
1127C2×Q16—591no—
1128C2×Q16—591no—
1129C2×Q16C22×D5911yescharacteristic
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16C22×D5911yescharacteristic
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×SD16C22×D5911yescharacteristic
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8C22×D5911yescharacteristic
1147C2×D8C22×D5911yescharacteristic
1148C2×D8C22×D5911yescharacteristic
1149C2×D8C22×D5911yescharacteristic
1150C2×M16—591no—
1151C2×M16—591no—
1152C2×M16—591no—
1153C2×M16C22×D5911yescharacteristic
1154C22×C8—591no—
1155C22×C8C22×D5911yescharacteristic
1156C4⋊Q8—591no—
1157C4⋊Q8—591no—
1158C4⋊Q8—591no—
1159C4⋊Q8—591no—
1160#127—21no—
1161#127—591no—
1162#127—591no—
1163#127—591no—
1164#127—1181no—
1165#127—1181no—
1166#127—1181no—
1167#127C22×D5911yescharacteristic
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#126—1181no—
1172#126—1181no—
1173#126—1181no—
1174#125—591no—
1175#125—591no—
1176#125—1181no—
1177#125—1181no—
1178#125—1181no—
1179#125—1181no—
1180#124—591no—
1181#124—591no—
1182#124—591no—
1183#124—591no—
1184#124—591no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124C22×D5911yescharacteristic
1192#123—21no—
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—
1208C22⋊Q8—591no—
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⋊Q8C22×D5911yescharacteristic
1220#121—21no—
1221#121—21no—
1222#121—21no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—1181no—
1227#121—1181no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
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#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#121C22×D5911yescharacteristic
1244#120—21no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250C4×Q8—591no—
1251C4×Q8—591no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—1181no—
1258C4×Q8—1181no—
1259C4×Q8C22×D5911yescharacteristic
1260C4×D4—21no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×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×D4C22×D5911yescharacteristic
1293C4×D4C22×D5911yescharacteristic
1294#117—591no—
1295#117—591no—
1296#117—591no—
1297#117—591no—
1298#117—591no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304#117—1181no—
1305#117—1181no—
1306#117—1181no—
1307#117—1181no—
1308#117—1181no—
1309C2×C4⋊C4—591no—
1310C2×C4⋊C4—1181no—
1311C2×C4⋊C4—1181no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C42—591no—
1320C2×C42—591no—
1321C2×C42—591no—
1322C2×C42—1181no—
1323C2×C42—1181no—
1324#107—591no—
1325#107—591no—
1326#107—591no—
1327#107C22×D5911yescharacteristic
1328#106—591no—
1329#106—591no—
1330#106—591no—
1331#106—591no—
1332C4⋊C8—591no—
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8—591no—
1341C4⋊C8C22×D5911yescharacteristic
1342#103—591no—
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103C22×D5911yescharacteristic
1353#103C22×D5911yescharacteristic
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#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102C22×D5911yescharacteristic
1371#102C22×D5911yescharacteristic
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374C22⋊C8—591no—
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8C22×D5911yescharacteristic
1379C22⋊C8C22×D5911yescharacteristic
1380#97—591no—
1381#97—591no—
1382#97—591no—
1383#97C22×D5911yescharacteristic
1384C4×C8—591no—
1385C4×C8—591no—
1386C24—21no—
1387C24—1181no—
1388C24—1181no—
1389#41—22no—
1390#41—41no—
1391#41—41no—
1392#41—41no—
1393#41—41no—
1394#41—41no—
1395#41—1182no—
1396#41—4722no—
1397#41—4722no—
1398#41—2361no—
1399#41—2361no—
1400#41—2361no—
1401#41—2361no—
1402#41—2362no—
1403#41—2361no—
1404C2×Q8—591no—
1405C2×Q8—591no—
1406C2×Q8—591no—
1407C2×Q8—1181no—
1408C2×Q8—1181no—
1409C2×Q8C23×D5911yescharacteristic
1410C2×Q8C23×D5911yescharacteristic
1411C2×D4—22no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—41no—
1422C2×D4—591no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—4722no—
1441C2×D4—2361no—
1442C2×D4—2361no—
1443C2×D4—2361no—
1444C2×D4—2361no—
1445C2×D4—2364no—
1446C2×D4D4×D5911yescharacteristic
1447C2×D4C23×D5911yescharacteristic
1448C2×D4C23×D5911yescharacteristic
1449C2×D4C23×D5911yescharacteristic
1450C2×D4C23×D5911yescharacteristic
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—591no—
1456C22×C4—591no—
1457C22×C4—591no—
1458C22×C4—591no—
1459C22×C4—591no—
1460C22×C4—591no—
1461C22×C4—591no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—2364no—
1476C22×C4C23×D5911yescharacteristic
1477C22×C4C23×D5911yescharacteristic
1478Q16—41no—
1479Q16—2361no—
1480Q16—2361no—
1481Q16—2361no—
1482SD16—22no—
1483SD16—41no—
1484SD16—41no—
1485SD16—41no—
1486SD16—1182no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492SD16—2361no—
1493SD16—2361no—
1494D8—22no—
1495D8—22no—
1496D8—41no—
1497D8—41no—
1498D8—1182no—
1499D8—1182no—
1500D8—2361no—
1501D8—2361no—
1502M16—41no—
1503M16—2361no—
1504M16—2361no—
1505M16—2361no—
1506C2×C8—41no—
1507C2×C8—591no—
1508C2×C8—591no—
1509C2×C8—591no—
1510C2×C8—591no—
1511C2×C8—2361no—
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C2×C8C23×D5911yescharacteristic
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
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⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4D4×D5911yescharacteristic
1549C4⋊C4C23×D5911yescharacteristic
1550C4⋊C4C23×D5911yescharacteristic
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—591no—
1559C22⋊C4—591no—
1560C22⋊C4—591no—
1561C22⋊C4—591no—
1562C22⋊C4—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—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4D4×D5911yescharacteristic
1592C22⋊C4D4×D5911yescharacteristic
1593C42—21no—
1594C42—591no—
1595C42—591no—
1596C42—591no—
1597C42—591no—
1598C42—591no—
1599C42—591no—
1600C42—591no—
1601C42—591no—
1602C42—591no—
1603C42—1181no—
1604C42—1181no—
1605C42—1181no—
1606C42—1181no—
1607C42—1181no—
1608C42—1181no—
1609C42—1181no—
1610C42C23×D5911yescharacteristic
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—42no—
1617C23—81no—
1618C23—591no—
1619C23—1181no—
1620C23—1181no—
1621C23—4721no—
1622C23—4721no—
1623C23—4721no—
1624C23—4721no—
1625C23—2362no—
1626C23—2362no—
1627C23C2×D4×D5911yescharacteristic
1628C23C2×D4×D5911yescharacteristic
1629Q8—21no—
1630Q8—21no—
1631Q8—21no—
1632Q8—21no—
1633Q8—1181no—
1634Q8—1181no—
1635Q8—1181no—
1636Q8—1181no—
1637Q8—4721no—
1638Q8—2361no—
1639Q8—2362no—
1640D4—21no—
1641D4—21no—
1642D4—21no—
1643D4—21no—
1644D4—21no—
1645D4—21no—
1646D4—21no—
1647D4—41no—
1648D4—42no—
1649D4—42no—
1650D4—42no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—1181no—
1658D4—1181no—
1659D4—1181no—
1660D4—1181no—
1661D4—4721no—
1662D4—4721no—
1663D4—4721no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4—4721no—
1668D4—4721no—
1669D4—2362no—
1670D4—2362no—
1671D4—2362no—
1672D4—2361no—
1673D4—2361no—
1674D4—2362no—
1675D4—2362no—
1676D4—2362no—
1677D4#1427377212yes—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—42no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—591no—
1691C2×C4—591no—
1692C2×C4—591no—
1693C2×C4—591no—
1694C2×C4—591no—
1695C2×C4—591no—
1696C2×C4—591no—
1697C2×C4—1182no—
1698C2×C4—1182no—
1699C2×C4—1182no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—4721no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—2361no—
1716C2×C4—2362no—
1717C2×C4—2362no—
1718C2×C4—2361no—
1719C2×C4—2361no—
1720C2×C4—2362no—
1721C2×C4—2362no—
1722C2×C4—2362no—
1723C2×C4—2362no—
1724C2×C4C2×D4×D5911yescharacteristic
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C24×D5911yescharacteristic
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—1181no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C22—21no—
1738C22—21no—
1739C22—22no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—21no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—84no—
1756C22—1181no—
1757C22—1181no—
1758C22—1181no—
1759C22—9442no—
1760C22—9442no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22C22×D4×D5911yescharacteristic
1768C4—21no—
1769C4—21no—
1770C4—21no—
1771C4—21no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—592no—
1777C4—1181no—
1778C4—1181no—
1779C4—1181no—
1780C4—1181no—
1781C4—1181no—
1782C4—1181no—
1783C4—2361no—
1784C4—2361no—
1785C4—2361no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4C2×#1427377211yescharacteristic
1790C4#1683823711yescharacteristic
1791C2—41no—
1792C2—41no—
1793C2—42no—
1794C2—81no—
1795C2—81no—
1796C2—81no—
1797C2—4721no—
1798C2—4721no—
1799C2—2361no—
1800C2#2143775611yescharacteristic
1801C2#575×D5911yescharacteristic
1802C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3268C2
socleC22×C59C23×D4
hypercenter#3268D59
hypocenterC59#61968
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #21437966C2semidirect
2. #21437647C2semidirect
3. #21437165C2semidirect
4. #21437157C2semidirect
5. #21436850C2semidirect
6. #21436842C2semidirect
7. #21436307C2semidirect
8. #21436305C2semidirect
9. #21436258C2semidirect
10. #21436256C2semidirect
11. #21436224C2semidirect
12. #21436222C2semidirect
13. #21435707C2semidirect
14. #21435701C2semidirect
15. #21435632C2semidirect
16. #21435621C2semidirect
17. #21435614C2semidirect
18. #21435478C2semidirect
19. #21435466C2semidirect
20. #21435415C2semidirect
21. #21435110C2semidirect
22. #21435104C2semidirect
23. #21435069C2semidirect
24. #21434254C2semidirect
25. #21434182C2semidirect
26. #21434149C2semidirect
27. #21433571C2semidirect
28. #21433557C2semidirect
29. #21433547C2semidirect
30. #21433208C2semidirect
31. C59×#3268C2semidirect
32. C2×#14273753C22semidirect
35. C2×#14273747C22semidirect
36. #16838138C22semidirect
37. #16838137C22semidirect
39. #16838121C22semidirect
41. #16838111C22semidirect
44. #16838092C22semidirect
52. #16838049C22semidirect
57. #16838040C22semidirect
61. #16837956C22semidirect
62. #16837954C22semidirect
64. #16837948C22semidirect
66. #16837947C22semidirect
67. #127×D59C22semidirect
69. #16837933C22semidirect
74. #41×Dic59C22semidirect
77. C2×D4×Dic59C22semidirect
79. #16837795C22semidirect
80. #16837793C22semidirect
82. #16837785C22semidirect
83. #16837783C22semidirect
84. #16837767C22semidirect
85. #16837766C22semidirect
86. #16837763C22semidirect
87. #16837760C22semidirect
88. #16837758C22semidirect
89. #16837755C22semidirect
90. #16837745C22semidirect
91. #16837741C22semidirect
92. #16837727C22semidirect
93. #16837723C22semidirect
94. #16837721C22semidirect
95. #16837718C22semidirect
96. #16837710C22semidirect
97. #16837709C22semidirect
98. #16837705C22semidirect
99. #16837704C22semidirect
100. #16837696C22semidirect
101. #16837695C22semidirect
102. #16837690C22semidirect
103. #16837690C22semidirect
104. #16837681C22semidirect
105. #16837680C22semidirect
106. #16837659C22semidirect
107. #16837657C22semidirect
108. #16837650C22semidirect
109. #16837648C22semidirect
111. #16837646C22semidirect
113. #16837636C22semidirect
114. #16837631C22semidirect
115. #16837629C22semidirect
116. #16837626C22semidirect
117. #16837622C22semidirect
118. #16837621C22semidirect
119. #16837619C22semidirect
120. #16837619C22semidirect
121. #16837619C22semidirect
122. #16837616C22semidirect
123. #16837615C22semidirect
124. #16837615C22semidirect
125. #16837615C22semidirect
126. #16837615C22semidirect
127. #16837611C22semidirect
128. #16837610C22semidirect
129. #16837606C22semidirect
130. #16837605C22semidirect
131. #16837605C22semidirect
132. #16837605C22semidirect
133. #16837603C22semidirect
134. #16837601C22semidirect
135. #16837601C22semidirect
136. #16837600C22semidirect
137. #16837600C22semidirect
138. #16837599C22semidirect
144. #16837566C22semidirect
145. #16837566C22semidirect
147. #16837564C22semidirect
148. #16837564C22semidirect
149. #16837562C22semidirect
151. #16837551C22semidirect
152. #16837551C22semidirect
153. #16837547C22semidirect
154. #16837545C22semidirect
155. #16837536C22semidirect
158. #16837531C22semidirect
159. #16837530C22semidirect
160. #16837514C22semidirect
161. #16837514C22semidirect
162. #16837511C22semidirect
163. #16837511C22semidirect
164. #16837510C22semidirect
165. #16837507C22semidirect
166. #16837502C22semidirect
167. SD16×Dic59C22semidirect
168. #16837487C22semidirect
169. D8×Dic59C22semidirect
170. #16837482C22semidirect
173. #16837474C22semidirect
174. #16837473C22semidirect
175. #16837470C22semidirect
176. #16837457C22semidirect
177. #16837456C22semidirect
178. #16837452C22semidirect
179. #16837425C22semidirect
180. #16837424C22semidirect
181. C2×Dic59⋊C8C22semidirect
182. #16837405C22semidirect
183. #16837405C22semidirect
184. #16837404C22semidirect
185. #16837403C22semidirect
186. #16837399C22semidirect
187. #16837398C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C2×#135×C59C22semidirect
191. C59×#546C22semidirect
193. C59×#468C22semidirect
194. C59×#466C22semidirect
195. C59×#464C22semidirect
197. C59×#452C22semidirect
198. C59×#449C22semidirect
199. C59×#449C22semidirect
200. C59×#447C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
905. #3268D59semidirect
936. C2×AGL(1,ℤ/8)C2×D59semidirect
938. C2×#135C2×D59semidirect
962. #546C2×D59semidirect
1019. #468C2×D59semidirect
1021. #466C2×D59semidirect
1027. #464C2×D59semidirect
1061. #452C2×D59semidirect
1066. #449C2×D59semidirect
1067. #449C2×D59semidirect
1071. #447C2×D59semidirect
1081. #440C2×D59semidirect
1091. #435C2×D59semidirect
1104. C59#61968semidirect

Maximal subgroups

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

subgroupindex
#214379662
#214376472
#214371652
#214371572
#214368502
#214368422
#214363072
#214363052
#214362582
#214362562
#214362242
#214362222
#214357072
#214357012
#214356322
#214356212
#214356142
#214354782
#214354662
#214354152
#214351102
#214351042
#214350692
#214342542
#214341822
#214341492
#214335712
#214335572
#214335472
#214332082
C59×#32682
#6196859