Finite Group Databasebeta

← #29470325

Subgroups — #29470325

Order 15104.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437686C211yesmaximal, characteristic, complemented
2#21437583C211yesmaximal, characteristic, complemented
3#21437133C211yesmaximal, characteristic, complemented
4#21437020C211yesmaximal, characteristic, complemented
5#21436885C211yesmaximal, characteristic, complemented
6#21436826C211yesmaximal, characteristic, complemented
7#21436673C211yesmaximal, characteristic, complemented
8#21436570C211yesmaximal, characteristic, complemented
9#21436566C211yesmaximal, characteristic, complemented
10#21436419C211yesmaximal, characteristic, complemented
11#21436322C211yesmaximal, characteristic, complemented
12#21436243C211yesmaximal, characteristic, complemented
13#21436239C211yesmaximal, characteristic, complemented
14#21436083C211yesmaximal, characteristic, complemented
15#21435709C211yesmaximal, characteristic, complemented
16#21435592C211yesmaximal, characteristic, complemented
17#21435584C211yesmaximal, characteristic, complemented
18#21434694C211yesmaximal, characteristic, complemented
19#21434684C211yesmaximal, characteristic, complemented
20#21434670C211yesmaximal, characteristic, complemented
21#21434159C211yesmaximal, characteristic, complemented
22#21434149C211yesmaximal, characteristic, complemented
23#21434146C211yesmaximal, characteristic, complemented
24#21434142C211yesmaximal, characteristic, complemented
25#21434122C211yesmaximal, characteristic, complemented
26#21434093C211yesmaximal, characteristic, complemented
27#21433056C211yesmaximal, characteristic, complemented
28#21432909C211yesmaximal, characteristic, complemented
29#21432901C211yesmaximal, characteristic, complemented
30C2×#16837487C211yesmaximal, characteristic, complemented
31C59×#3308C211yesmaximal, characteristic, complemented
32C2×#41×D59—21no—
33C2×#14273754C2211yescharacteristic
34C2×#14273752C2211yescharacteristic
35C22×#11745671C2211yescharacteristic
36#16838134—21no—
37#16838134C2211yescharacteristic, complemented
38#16838128C2211yescharacteristic, complemented
39#16838123—21no—
40#16838123C2211yescharacteristic, complemented
41#16838104—21no—
42#16838104C2211yescharacteristic, complemented
43#16838098—21no—
44#16838098C2211yescharacteristic, complemented
45#16838073C2211yescharacteristic
46#16838071C2211yescharacteristic, complemented
47#16838067C2211yescharacteristic
48#16838063C2211yescharacteristic, complemented
49#16838062—21no—
50#16838053C2211yescharacteristic
51#16838053C2211yescharacteristic
52#16838044—21no—
53#16838044—21no—
54#16838040—21no—
55D4×D236C2211yescharacteristic
56#16838036C2211yescharacteristic
57#16838036C2211yescharacteristic
58#16837953C2211yescharacteristic
59#16837947—21no—
60#16837947C2211yescharacteristic
61#16837947C2211yescharacteristic
62#16837947C2211yescharacteristic, complemented
63#16837938—21no—
64#16837938C2211yescharacteristic, complemented
65#16837931—21no—
66#16837931C2211yescharacteristic, complemented
67#16837915—21no—
68#16837910—21no—
69#16837910—21no—
70#41×Dic59C2211yescharacteristic, complemented
71C4×#11745689C2211yescharacteristic, complemented
72C4×#11745687—21no—
73C4×#11745687C2211yescharacteristic
74C2×Q8×Dic59C2211yescharacteristic, complemented
75C2×#14273689C2211yescharacteristic
76C2×#14273689C2211yescharacteristic
77C4×D4×D59C2211yescharacteristic
78#16837810C2211yescharacteristic, complemented
79#16837808C2211yescharacteristic, complemented
80#16837806C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837736C2211yescharacteristic, complemented
90#16837729C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837723C2211yescharacteristic, complemented
94#16837721C2211yescharacteristic, complemented
95#16837720C2211yescharacteristic, complemented
96#16837719C2211yescharacteristic, complemented
97#16837718C2211yescharacteristic, complemented
98#16837715C2211yescharacteristic, complemented
99#16837705C2211yescharacteristic
100#16837705C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic
102#16837702C2211yescharacteristic, complemented
103#16837695C2211yescharacteristic, complemented
104#16837690C2211yescharacteristic, complemented
105#16837689C2211yescharacteristic, complemented
106#16837685C2211yescharacteristic, complemented
107#16837685C2211yescharacteristic, complemented
108#16837681C2211yescharacteristic
109#16837681C2211yescharacteristic, complemented
110#16837655C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837654C2211yescharacteristic, complemented
113#16837653C2211yescharacteristic, complemented
114#16837651C2211yescharacteristic, complemented
115#16837651C2211yescharacteristic, complemented
116#16837650C2211yescharacteristic, complemented
117#16837638C2211yescharacteristic, complemented
118#16837636C2211yescharacteristic, complemented
119#16837636C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic
121#16837620C2211yescharacteristic, complemented
122#16837614C2211yescharacteristic
123#16837602C2211yescharacteristic, complemented
124#16837600C2211yescharacteristic, complemented
125#16837600C2211yescharacteristic, complemented
126#16837600C2211yescharacteristic, complemented
127#16837598C2211yescharacteristic, complemented
128#16837596C2211yescharacteristic
129#16837596C2211yescharacteristic, complemented
130#16837595C2211yescharacteristic, complemented
131#16837552C2211yescharacteristic
132#16837551C2211yescharacteristic
133#16837550C2211yescharacteristic, complemented
134#16837550C2211yescharacteristic, complemented
135#16837547C2211yescharacteristic, complemented
136#16837541C2211yescharacteristic, complemented
137#16837538C2211yescharacteristic
138#16837538C2211yescharacteristic
139#16837535C2211yescharacteristic
140#16837534C2211yescharacteristic
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic
144#16837512C2211yescharacteristic, complemented
145#16837511C2211yescharacteristic
146#16837511C2211yescharacteristic, complemented
147#16837505C2211yescharacteristic
148#16837505C2211yescharacteristic, complemented
149#16837500C2211yescharacteristic
150SD16×Dic59C2211yescharacteristic, complemented
151SD16×Dic59C2211yescharacteristic, complemented
152#16837487C2211yescharacteristic
153#16837487C2211yescharacteristic
154#16837487C2211yescharacteristic
155#16837487C2211yescharacteristic
156#16837487C2211yescharacteristic, complemented
157#16837487C2211yescharacteristic, complemented
158#16837487C2211yescharacteristic, complemented
159#16837487C2211yescharacteristic, complemented
160#16837487C2211yescharacteristic, complemented
161#16837487C2211yescharacteristic, complemented
162D8×Dic59C2211yescharacteristic, complemented
163#16837484C2211yescharacteristic
164#16837484C2211yescharacteristic, complemented
165#16837484C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic
167#16837482C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837482C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837452C2211yescharacteristic, complemented
178#16837443C2211yescharacteristic, complemented
179#16837442C2211yescharacteristic, complemented
180C2×#14273658C2211yescharacteristic, complemented
181#16837408C2211yescharacteristic
182#16837405C2211yescharacteristic
183#16837402C2211yescharacteristic, complemented
184C2×#14273649C2211yescharacteristic
185#16837354C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C59×#548C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#477C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687D411yescharacteristic
212#41×D59—48no—
213C2×Q8×D59—21no—
214C22×D236C2311yescharacteristic
215C22×D236C2311yescharacteristic
216C2×D4×D59—21no—
217C2×D4×D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59C2311yescharacteristic
220C22×C4×D59—21no—
221C22×C4×D59—21no—
222C22×C4×D59—21no—
223#14273754—24no—
224#14273752—24no—
225C2×#11745671—24no—
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C2×#11745659C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C22×C59⋊C8C2311yescharacteristic
243#14273726—21no—
244#14273726C2311yescharacteristic
245#14273726C2311yescharacteristic
246#14273726C2311yescharacteristic
247#14273724C2311yescharacteristic
248#14273723—21no—
249#14273723C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273722—21no—
253#14273722—21no—
254#14273722—21no—
255#14273720—21no—
256#14273720—21no—
257#14273720—21no—
258#14273719—21no—
259#14273719C2311yescharacteristic
260#14273718—21no—
261#14273718C2311yescharacteristic
262#14273716—21no—
263#14273716—21no—
264#14273716C2311yescharacteristic
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273713—21no—
269#14273713—21no—
270#14273712—21no—
271#14273712—21no—
272#14273711—21no—
273#14273711—21no—
274#14273711—21no—
275#14273710—21no—
276#14273710—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709—21no—
280#14273705—21no—
281#14273705—21no—
282#14273705—21no—
283#14273705—21no—
284#14273703—21no—
285#14273703—21no—
286#14273703C2311yescharacteristic
287#14273702—21no—
288#14273702—21no—
289#14273702C2311yescharacteristic
290#14273702C2311yescharacteristic
291#14273701—21no—
292#14273701—21no—
293#14273701—21no—
294#14273701C2311yescharacteristic
295#14273701C2311yescharacteristic
296#14273701C2311yescharacteristic
297#14273701C2311yescharacteristic
298#14273700—21no—
299#14273700—21no—
300#14273700—21no—
301#14273700—21no—
302#14273699—21no—
303#14273699—21no—
304#14273699—21no—
305#14273699—21no—
306#14273699—21no—
307#14273698—21no—
308#14273698C2311yescharacteristic
309#14273697—21no—
310#14273697—21no—
311#14273697—21no—
312#14273697—21no—
313#14273695—21no—
314#14273695—21no—
315Q8×Dic59—21no—
316Q8×Dic59—21no—
317Q8×Dic59C2311yescharacteristic
318Q8×Dic59C2311yescharacteristic
319Q8×Dic59C2311yescharacteristic
320Q8×Dic59C2311yescharacteristic
321Q8×Dic59C2311yescharacteristic
322C4×Dic118—21no—
323C4×Dic118C2311yescharacteristic
324#14273692—21no—
325#14273692D411yescharacteristic
326C4×D236—21no—
327C4×D236C2311yescharacteristic
328C4×D236C2311yescharacteristic
329D4×Dic59—21no—
330D4×Dic59—21no—
331D4×Dic59—21no—
332D4×Dic59D411yescharacteristic
333D4×Dic59C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
335D4×Dic59C2311yescharacteristic
336#14273689—21no—
337#14273689—21no—
338#14273689—21no—
339#14273689—21no—
340#14273689—21no—
341#14273689—21no—
342#14273689C2311yescharacteristic
343#14273689C2311yescharacteristic
344#14273689C2311yescharacteristic
345#14273689C2311yescharacteristic
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348#14273689C2311yescharacteristic
349#14273689C2311yescharacteristic
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59C2311yescharacteristic
354C4×C22⋊D59C2311yescharacteristic
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4D411yescharacteristic
364(C22⋊D59)⋊C4D411yescharacteristic
365#14273686—21no—
366#14273686C2311yescharacteristic
367#14273685—21no—
368#14273685—21no—
369#14273685D411yescharacteristic
370#14273685C2311yescharacteristic
371#14273683—21no—
372#14273683D411yescharacteristic
373#14273683D411yescharacteristic
374C2×C4⋊Dic59—21no—
375C2×C4⋊Dic59C2311yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C2×(C2×D59)⋊C4—21no—
378C2×(C2×D59)⋊C4—21no—
379C22⋊C4×D59—21no—
380C2×C4×Dic59—21no—
381C2×C4×Dic59—21no—
382C2×C4×Dic59C2311yescharacteristic
383C2×C4×Dic59C2311yescharacteristic
384C42×D59—21no—
385C42×D59C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273649C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59—21no—
440C2×#41×C59C2311yescharacteristic
441C22×Q8×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447C4⋊Q8×C59C2311yescharacteristic
448#124×C59—21no—
449#124×C59C2311yescharacteristic
450#123×C59—21no—
451#123×C59—21no—
452C22⋊Q8×C59—21no—
453C22⋊Q8×C59—21no—
454C22⋊Q8×C59C2311yescharacteristic
455#121×C59—21no—
456#121×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459C4×Q8×C59C2311yescharacteristic
460C4×D4×C59—21no—
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C2×C4⋊C4×C59C2311yescharacteristic
464C2×C4⋊C4×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C23×D59—21no—
483C23×D59—21no—
484C23×D59—21no—
485#41×C59—22no—
486#41×C59—41no—
487#41×C59—44no—
488C2×Q8×C59—21no—
489C2×Q8×C59—21no—
490C2×Q8×C59—22no—
491C2×Q8×C59—41no—
492C2×Q8×C59C2411yescharacteristic
493C2×Q8×C59C2411yescharacteristic
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59C2×D411yescharacteristic
499C2×D4×C59C2411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59C2411yescharacteristic
507C22×C4×C59C2411yescharacteristic
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59C2×D411yescharacteristic
521C2×C22⋊D59C2×D411yescharacteristic
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59C2×D411yescharacteristic
527C22×Dic59C2×D411yescharacteristic
528C22×Dic59C2×D411yescharacteristic
529C22×Dic59C2×D411yescharacteristic
530#11745689—22no—
531#11745689—41no—
532#11745689—44no—
533Q8×D59—44no—
534#11745687—24no—
535#11745687—44no—
536#11745687—44no—
537#11745687—44no—
538D4×D59—22no—
539D4×D59—41no—
540D4×D59—44no—
541D4×D59—44no—
542D4×D59—44no—
543#11745685—44no—
544#11745685—44no—
545#11745685—44no—
546C2×D236—22no—
547C2×D236—22no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—41no—
556C2×D236—41no—
557C2×D236C2411yescharacteristic
558C2×D236C2411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×D236C2411yescharacteristic
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—44no—
574C2×C4×D59—44no—
575C2×C4×D59—44no—
576C2×C4×D59C2×D411yescharacteristic
577C2×C4×D59C2×D411yescharacteristic
578C2×C4×D59C2411yescharacteristic
579C2×Dic118—21no—
580C2×Dic118—21no—
581C2×Dic118—21no—
582C2×Dic118C2×D411yescharacteristic
583SD16×C59—22no—
584SD16×C59—41no—
585D8×C59—41no—
586M16×C59—41no—
587C2×C8×C59—41no—
588C2×C8×C59C2411yescharacteristic
589C2×C8×C59C2411yescharacteristic
590C2×C8×C59C2411yescharacteristic
591C2×C8×C59C2411yescharacteristic
592C4⋊C4×C59—21no—
593C4⋊C4×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59—21no—
596C4⋊C4×C59—21no—
597C4⋊C4×C59C2×D411yescharacteristic
598C4⋊C4×C59C2411yescharacteristic
599C4⋊C4×C59C2411yescharacteristic
600C4⋊C4×C59C2411yescharacteristic
601C4⋊C4×C59C2411yescharacteristic
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59C2×D411yescharacteristic
610C22⋊C4×C59C2×D411yescharacteristic
611C42×C59—21no—
612C42×C59C2411yescharacteristic
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59C2×D411yescharacteristic
619C22⋊Dic59C2×D411yescharacteristic
620#11745671—22no—
621#11745671—22no—
622#11745671—22no—
623#11745671—22no—
624#11745671—41no—
625#11745671#4114yescomplemented
626#11745669—22no—
627#11745669—22no—
628#11745669—22no—
629#11745669—41no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59C2×D411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59C2×D411yescharacteristic
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C4×Dic59C2411yescharacteristic
692#11745664—22no—
693C2×C59⋊C8—22no—
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698D472—22no—
699D472—41no—
700D472—41no—
701#11745659—22no—
702#11745659—41no—
703C23×C59—21no—
704C23×C59—21no—
705C23×C59C22×D411yescharacteristic
706C23×C59C22×D411yescharacteristic
707C22×D59—21no—
708C22×D59—21no—
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—42no—
712C22×D59—42no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—42no—
716C22×D59—42no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59C22×D411yescharacteristic
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—21no—
724Q8×C59—42no—
725Q8×C59—42no—
726Q8×C59C2×#4112yescomplemented
727D4×C59—22no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—42no—
733D4×C59—42no—
734D4×C59—42no—
735D4×C59—42no—
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—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—42no—
747C2×C4×C59—42no—
748C2×C4×C59—42no—
749C2×C4×C59—42no—
750C2×C4×C59—42no—
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C2511yescharacteristic
756C22⋊D59—22no—
757C22⋊D59—22no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—42no—
762C22⋊D59—42no—
763C22⋊D59—42no—
764C22⋊D59—42no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C2×Dic59—22no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—41no—
776C2×Dic59—41no—
777C2×Dic59—42no—
778C2×Dic59—42no—
779C2×Dic59—81no—
780C2×Dic59—81no—
781C2×Dic59AGL(1,ℤ/8)14yescomplemented
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789D236—21no—
790D236—21no—
791D236—21no—
792D236—21no—
793D236—21no—
794D236—21no—
795D236—21no—
796D236—42no—
797D236—42no—
798D236—42no—
799D236—42no—
800D236—42no—
801D236—42no—
802D236—81no—
803D236C2×#4112yes—
804C4×D59—21no—
805C4×D59—21no—
806C4×D59—22no—
807C4×D59—41no—
808C4×D59—42no—
809C4×D59—42no—
810C4×D59—42no—
811C4×D59—42no—
812C4×D59—42no—
813C4×D59—42no—
814C4×D59—42no—
815C4×D59—42no—
816C4×D59—42no—
817C4×D59—42no—
818C4×D59—42no—
819C4×D59—81no—
820Dic118—22no—
821Dic118—42no—
822Dic118—42no—
823Dic118—42no—
824C8×C59—21no—
825C8×C59—21no—
826C8×C59—21no—
827C8×C59—21no—
828C59⋊C8—21no—
829C59⋊C8—21no—
830C59⋊C8—21no—
831C59⋊C8C2×#4112yescomplemented
832#61439—591nomaximal, Sylow
833C22×C59—21no—
834C22×C59—21no—
835C22×C59—21no—
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59C2×AGL(1,ℤ/8)12yes—
845C22×C59C23×D411yescharacteristic
846C2×D59—21no—
847C2×D59—21no—
848C2×D59—22no—
849C2×D59—21no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—84no—
862C2×D59—84no—
863C2×D59—84no—
864C4×C59—21no—
865C4×C59—22no—
866C4×C59—21no—
867C4×C59—21no—
868C4×C59—21no—
869C4×C59—41no—
870C4×C59—41no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59C22×#4111yescharacteristic
875C4×C59#58511yescharacteristic
876Dic59—21no—
877Dic59—21no—
878Dic59—21no—
879Dic59—21no—
880Dic59—21no—
881Dic59—41no—
882Dic59—41no—
883Dic59—41no—
884Dic59—41no—
885Dic59C2×AGL(1,ℤ/8)12yes—
886Dic59C2×AGL(1,ℤ/8)12yes—
887#3480—591no—
888D4×#41—591no—
889#3399—591no—
890#3386—591no—
891#3373—591no—
892#3368—591no—
893#3353—591no—
894#3345—591no—
895#3345—591no—
896#3332—591no—
897#3324—591no—
898#3318—591no—
899#3318—591no—
900#3308—591no—
901#3308D5911yescharacteristic, complemented
902#3274—591no—
903#3265—591no—
904#3265—591no—
905#3171—591no—
906#3171—591no—
907#3169—591no—
908#3106—591no—
909#3106—591no—
910#3105—591no—
911#3105—591no—
912#3103—591no—
913#3100—591no—
914#2965—591no—
915C4×AGL(1,ℤ/8)—591no—
916C4×AGL(1,ℤ/8)—591no—
917C2×C4×SD16—591no—
918C2×C59—22no—
919C2×C59—41no—
920C2×C59—81no—
921C2×C59—81no—
922C2×C59D4×#4111yescharacteristic
923C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
924C2×C59#358411yescharacteristic
925D59—41no—
926D59—42no—
927D59—81no—
928D59—81no—
929D59—81no—
930C22×#41—1181no—
931C2×AGL(1,ℤ/8)—591no—
932C2×AGL(1,ℤ/8)—591no—
933C22×SD16—591no—
934#559—591no—
935#559—1181no—
936#557—591no—
937#556—591no—
938#556—1181no—
939#553—591no—
940#553—591no—
941#553—1181no—
942#553—1181no—
943#550—591no—
944#550—591no—
945D4×Q8—591no—
946#548—591no—
947#548—1181no—
948#548C2×D5911yescharacteristic, complemented
949#547—591no—
950#547—591no—
951#547C2×D5911yescharacteristic
952#546—1181no—
953#546—1181no—
954#546—1181no—
955D42—591no—
956D42—591no—
957D42—591no—
958#532—591no—
959#532—591no—
960#532—591no—
961#532—591no—
962#532—1181no—
963#529—591no—
964#529—591no—
965#529—1181no—
966#529—1181no—
967#525—1181no—
968#525—1181no—
969#525—1181no—
970C4×#41—591no—
971C4×#41—591no—
972C4×#41—591no—
973C4×#41—1181no—
974C2×C4×Q8—591no—
975C2×C4×D4—591no—
976C2×C4×D4—591no—
977C2×C4×D4—591no—
978#501—591no—
979#501—591no—
980#500—591no—
981#496—591no—
982#496—591no—
983#493—591no—
984#490—591no—
985#490—591no—
986#489—591no—
987#489C2×D5911yescharacteristic, complemented
988#486—591no—
989#486—591no—
990#484—591no—
991#484C2×D5911yescharacteristic, complemented
992#482—591no—
993#482—591no—
994#482—591no—
995#482—591no—
996#481—591no—
997#481—591no—
998#481—591no—
999#481—591no—
1000#480—591no—
1001#480C2×D5911yescharacteristic, complemented
1002#478—591no—
1003#478—591no—
1004#478—591no—
1005#478—591no—
1006#477—591no—
1007#477C2×D5911yescharacteristic, complemented
1008#476—591no—
1009#476—591no—
1010#475—591no—
1011#475—591no—
1012#474—591no—
1013#474—591no—
1014#469—591no—
1015#469—591no—
1016#469—591no—
1017#469—591no—
1018#468—591no—
1019#468—591no—
1020#468—591no—
1021#468C2×D5911yescharacteristic, complemented
1022#466—591no—
1023#466—591no—
1024#466—591no—
1025#466C2×D5911yescharacteristic, complemented
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463C2×D5911yescharacteristic, complemented
1030#460—591no—
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#459—591no—
1035#459—591no—
1036#459—591no—
1037#459—591no—
1038#450—591no—
1039#450—591no—
1040#449—591no—
1041#449—591no—
1042#449—591no—
1043#449C2×D5911yescharacteristic, complemented
1044#448—591no—
1045#448C2×D5911yescharacteristic, complemented
1046#447—591no—
1047#447—591no—
1048#447—591no—
1049#447—591no—
1050#446—591no—
1051#446—591no—
1052#442—591no—
1053#442—591no—
1054#442—591no—
1055#442—591no—
1056#440—591no—
1057#440—591no—
1058#440—591no—
1059#440C2×D5911yescharacteristic, complemented
1060C4×SD16—591no—
1061C4×SD16—591no—
1062C4×SD16—591no—
1063C4×SD16—591no—
1064C4×SD16—591no—
1065C4×SD16—591no—
1066C4×SD16—591no—
1067C4×SD16—591no—
1068C4×SD16—591no—
1069C4×SD16—591no—
1070C4×SD16—591no—
1071C4×SD16—591no—
1072C4×D8—591no—
1073C4×D8—591no—
1074C4×D8—591no—
1075C4×D8—591no—
1076C4×D8—591no—
1077C4×D8—591no—
1078C4×D8—591no—
1079C4×D8—591no—
1080#436—591no—
1081#436—591no—
1082#435—591no—
1083#435—591no—
1084#435—591no—
1085#435C2×D5911yescharacteristic, complemented
1086#431—591no—
1087#431—591no—
1088#431—591no—
1089#428—591no—
1090#428—591no—
1091C2×#106—591no—
1092#418—591no—
1093#418—591no—
1094#417—591no—
1095#417C2×D5911yescharacteristic, complemented
1096C2×#103C2×D5911yescharacteristic, complemented
1097C2×#102—591no—
1098C4×M16—591no—
1099C4×M16—591no—
1100C2×C4×C8—591no—
1101C59#6143911yescharacteristic, complemented, Sylow
1102C2×#41—21no—
1103C2×#41—591no—
1104C2×#41—591no—
1105C2×#41—1181no—
1106C2×#41—1181no—
1107C2×#41—1181no—
1108C2×#41—1181no—
1109C2×#41—1181no—
1110C2×#41—1181no—
1111C2×#41—1181no—
1112C2×#41—2368no—
1113C2×#41C22×D5911yescharacteristic
1114C22×Q8—1181no—
1115C22×Q8C22×D5911yescharacteristic
1116C22×D4—591no—
1117C22×D4—591no—
1118C22×D4—591no—
1119C22×D4—1181no—
1120C22×D4—1181no—
1121C22×D4—1181no—
1122C23×C4—1181no—
1123C23×C4—1181no—
1124C23×C4—1181no—
1125AGL(1,ℤ/8)—1184no—
1126AGL(1,ℤ/8)—1184no—
1127C2×SD16—591no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—1184no—
1134C2×SD16C22×D5911yescharacteristic
1135C2×SD16C22×D5911yescharacteristic
1136C2×D8—591no—
1137C2×D8—591no—
1138C2×D8—591no—
1139C2×D8—591no—
1140C2×D8—591no—
1141C2×D8—591no—
1142C2×D8—591no—
1143C2×D8C22×D5911yescharacteristic
1144C2×M16—591no—
1145C2×M16—591no—
1146C2×M16—591no—
1147C2×M16C22×D5911yescharacteristic
1148C22×C8—591no—
1149C22×C8C22×D5911yescharacteristic
1150C4⋊Q8—591no—
1151C4⋊Q8—591no—
1152C4⋊Q8—591no—
1153C4⋊Q8—1181no—
1154C4⋊Q8C22×D5911yescharacteristic
1155#127—591no—
1156#127—591no—
1157#127—591no—
1158#127—591no—
1159#127—1181no—
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#126—1181no—
1165#126—1181no—
1166#125—591no—
1167#125—591no—
1168#125—1181no—
1169#125—1181no—
1170#124—21no—
1171#124—591no—
1172#124—1181no—
1173#124—1181no—
1174#124—1181no—
1175#124—1181no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124C22×D5911yescharacteristic
1180#123—21no—
1181#123—21no—
1182#123—1181no—
1183#123—1181no—
1184#123—1181no—
1185#123—1181no—
1186#123—1181no—
1187#123—1181no—
1188#123—1181no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—591no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8—1181no—
1201C22⋊Q8C22×D5911yescharacteristic
1202#121—21no—
1203#121—591no—
1204#121—591no—
1205#121—591no—
1206#121—591no—
1207#121—591no—
1208#121—591no—
1209#121—591no—
1210#121—1181no—
1211#121—1181no—
1212#121—1181no—
1213#121—1181no—
1214#121—1181no—
1215#121—1181no—
1216#121—1181no—
1217#121—1181no—
1218#121—1181no—
1219#121—1181no—
1220#121—1181no—
1221#121—1181no—
1222#121—1181no—
1223#121—1181no—
1224#121—1181no—
1225#121C22×D5911yescharacteristic
1226#121C22×D5911yescharacteristic
1227#121C22×D5911yescharacteristic
1228#120—1181no—
1229#120—1181no—
1230#120—1181no—
1231#120—1181no—
1232#120—1181no—
1233#120—1181no—
1234C4×Q8—591no—
1235C4×Q8—591no—
1236C4×Q8—591no—
1237C4×Q8—591no—
1238C4×Q8—591no—
1239C4×Q8—591no—
1240C4×Q8—591no—
1241C4×Q8—1181no—
1242C4×Q8—1181no—
1243C4×Q8—1181no—
1244C4×Q8—1181no—
1245C4×Q8C22×D5911yescharacteristic
1246C4×D4—21no—
1247C4×D4—591no—
1248C4×D4—591no—
1249C4×D4—591no—
1250C4×D4—591no—
1251C4×D4—591no—
1252C4×D4—591no—
1253C4×D4—591no—
1254C4×D4—591no—
1255C4×D4—591no—
1256C4×D4—591no—
1257C4×D4—591no—
1258C4×D4—591no—
1259C4×D4—591no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—1181no—
1266C4×D4—1181no—
1267C4×D4—1181no—
1268C4×D4—1181no—
1269C4×D4—1181no—
1270C4×D4—1181no—
1271C4×D4—1181no—
1272C4×D4—1181no—
1273C4×D4—1181no—
1274C4×D4—1181no—
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×D4C22×D5911yescharacteristic
1287C4×D4C22×D5911yescharacteristic
1288#117—591no—
1289#117—591no—
1290#117—591no—
1291#117—591no—
1292#117—591no—
1293#117—1181no—
1294#117—1181no—
1295#117—1181no—
1296#117—1181no—
1297C2×C4⋊C4—591no—
1298C2×C4⋊C4—591no—
1299C2×C4⋊C4—1181no—
1300C2×C4⋊C4C22×D5911yescharacteristic
1301C2×C4⋊C4C22×D5911yescharacteristic
1302C2×C22⋊C4—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C42—591no—
1306C2×C42—591no—
1307C2×C42—591no—
1308C2×C42—1181no—
1309C2×C42—1181no—
1310C2×C42—1181no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#107—591no—
1315#107—591no—
1316#107C22×D5911yescharacteristic
1317#107C22×D5911yescharacteristic
1318#107C22×D5911yescharacteristic
1319#106—591no—
1320#106—591no—
1321#106—591no—
1322#106—591no—
1323#106—591no—
1324#106—591no—
1325#106—591no—
1326#106—591no—
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8—591no—
1332C4⋊C8C22×D5911yescharacteristic
1333#103—591no—
1334#103—591no—
1335#103C22×D5911yescharacteristic
1336#103C22×D5911yescharacteristic
1337#103C22×D5911yescharacteristic
1338#103C22×D5911yescharacteristic
1339#103C22×D5911yescharacteristic
1340#103C22×D5911yescharacteristic
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
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#102C22×D5911yescharacteristic
1362#102C22×D5911yescharacteristic
1363#102C22×D5911yescharacteristic
1364#102C22×D5911yescharacteristic
1365C22⋊C8—591no—
1366C22⋊C8—591no—
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8C22×D5911yescharacteristic
1370C22⋊C8C22×D5911yescharacteristic
1371#97—591no—
1372#97—591no—
1373#97—591no—
1374#97C22×D5911yescharacteristic
1375C4×C8—591no—
1376C4×C8—591no—
1377C4×C8—591no—
1378C4×C8—591no—
1379C4×C8—591no—
1380C4×C8—591no—
1381C24—1181no—
1382C24—1181no—
1383C24—1181no—
1384#41—22no—
1385#41—41no—
1386#41—44no—
1387#41—1184no—
1388#41—1182no—
1389#41—2364no—
1390#41—2364no—
1391#41—2364no—
1392#41—2364no—
1393#41—2364no—
1394#41—2364no—
1395#41—2361no—
1396#41—2364no—
1397C2×Q8—21no—
1398C2×Q8—21no—
1399C2×Q8—22no—
1400C2×Q8—41no—
1401C2×Q8—591no—
1402C2×Q8—1181no—
1403C2×Q8—1181no—
1404C2×Q8—1181no—
1405C2×Q8—2364no—
1406C2×Q8C23×D5911yescharacteristic
1407C2×Q8C23×D5911yescharacteristic
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—591no—
1413C2×D4—591no—
1414C2×D4—591no—
1415C2×D4—591no—
1416C2×D4—591no—
1417C2×D4—591no—
1418C2×D4—1182no—
1419C2×D4—1182no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1182no—
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—2361no—
1441C2×D4—2361no—
1442C2×D4—2361no—
1443C2×D4—2364no—
1444C2×D4—2364no—
1445C2×D4—2364no—
1446C2×D4D4×D5911yescharacteristic
1447C2×D4C23×D5911yescharacteristic
1448C2×D4C23×D5911yescharacteristic
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—591no—
1455C22×C4—591no—
1456C22×C4—591no—
1457C22×C4—591no—
1458C22×C4—591no—
1459C22×C4—591no—
1460C22×C4—591no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—2364no—
1478C22×C4—2364no—
1479C22×C4—2364no—
1480C22×C4C23×D5911yescharacteristic
1481C22×C4C23×D5911yescharacteristic
1482SD16—22no—
1483SD16—41no—
1484SD16—594no—
1485SD16—1182no—
1486SD16—1182no—
1487SD16—1182no—
1488SD16—1182no—
1489SD16—2361no—
1490D8—41no—
1491D8—1182no—
1492D8—1182no—
1493D8—1182no—
1494D8—1182no—
1495D8—2361no—
1496D8—2361no—
1497D8—2361no—
1498M16—41no—
1499M16—1182no—
1500M16—1182no—
1501M16—2361no—
1502C2×C8—41no—
1503C2×C8—591no—
1504C2×C8—591no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—1182no—
1508C2×C8C23×D5911yescharacteristic
1509C2×C8C23×D5911yescharacteristic
1510C2×C8C23×D5911yescharacteristic
1511C2×C8C23×D5911yescharacteristic
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—591no—
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—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⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4D4×D5911yescharacteristic
1542C4⋊C4C23×D5911yescharacteristic
1543C4⋊C4C23×D5911yescharacteristic
1544C4⋊C4C23×D5911yescharacteristic
1545C4⋊C4C23×D5911yescharacteristic
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—591no—
1554C22⋊C4—591no—
1555C22⋊C4—591no—
1556C22⋊C4—591no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1583C22⋊C4D4×D5911yescharacteristic
1584C42—21no—
1585C42—591no—
1586C42—591no—
1587C42—591no—
1588C42—591no—
1589C42—591no—
1590C42—591no—
1591C42—591no—
1592C42—591no—
1593C42—591no—
1594C42—1181no—
1595C42—1181no—
1596C42—1181no—
1597C42—1181no—
1598C42—1181no—
1599C42—1181no—
1600C42—1181no—
1601C42C23×D5911yescharacteristic
1602C23—21no—
1603C23—21no—
1604C23—591no—
1605C23—1181no—
1606C23—1181no—
1607C23—1181no—
1608C23—1181no—
1609C23—4721no—
1610C23—4721no—
1611C23—4721no—
1612C23—2362no—
1613C23—2362no—
1614C23—2362no—
1615C23—2362no—
1616C23—2362no—
1617C23—2362no—
1618C23C2×D4×D5911yescharacteristic
1619C23C2×D4×D5911yescharacteristic
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—42no—
1624Q8—42no—
1625Q8—1182no—
1626Q8—2362no—
1627Q8—2362no—
1628Q8—2362no—
1629Q8#41×D5912yescomplemented
1630D4—22no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—42no—
1636D4—42no—
1637D4—42no—
1638D4—42no—
1639D4—592no—
1640D4—1182no—
1641D4—1182no—
1642D4—1181no—
1643D4—1181no—
1644D4—1181no—
1645D4—1181no—
1646D4—1181no—
1647D4—1181no—
1648D4—1181no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—4721no—
1654D4—4721no—
1655D4—2362no—
1656D4—2362no—
1657D4—2362no—
1658D4—2362no—
1659D4—2362no—
1660D4—2362no—
1661D4—2362no—
1662D4—2362no—
1663D4—2362no—
1664D4—2362no—
1665D4—2362no—
1666D4—2362no—
1667D4—2362no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—42no—
1679C2×C4—42no—
1680C2×C4—42no—
1681C2×C4—42no—
1682C2×C4—42no—
1683C2×C4—594no—
1684C2×C4—591no—
1685C2×C4—591no—
1686C2×C4—591no—
1687C2×C4—591no—
1688C2×C4—591no—
1689C2×C4—591no—
1690C2×C4—591no—
1691C2×C4—1182no—
1692C2×C4—1182no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—4721no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—2361no—
1703C2×C4—2362no—
1704C2×C4—2362no—
1705C2×C4—2362no—
1706C2×C4—2362no—
1707C2×C4—2362no—
1708C2×C4—2362no—
1709C2×C4—2362no—
1710C2×C4—2362no—
1711C2×C4—2362no—
1712C2×C4—2362no—
1713C2×C4—2362no—
1714C2×C4—2362no—
1715C2×C4—2362no—
1716C2×C4—2361no—
1717C2×C4—2361no—
1718C2×C4C2×D4×D5911yescharacteristic
1719C2×C4C2×D4×D5911yescharacteristic
1720C2×C4C2×D4×D5911yescharacteristic
1721C2×C4C2×D4×D5911yescharacteristic
1722C2×C4C24×D5911yescharacteristic
1723C8—21no—
1724C8—21no—
1725C8—21no—
1726C8—21no—
1727C8—592no—
1728C8—1181no—
1729C8—1181no—
1730C8—1181no—
1731C22—21no—
1732C22—21no—
1733C22—21no—
1734C22—21no—
1735C22—21no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—1181no—
1743C22—1181no—
1744C22—1182no—
1745C22—1181no—
1746C22—4724no—
1747C22—4724no—
1748C22—4724no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22—2361no—
1754C22—2361no—
1755C22—2361no—
1756C22—2361no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22AGL(1,ℤ/8)×D5912yes—
1761C22C22×D4×D5911yescharacteristic
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—22no—
1766C4—21no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—592no—
1773C4—592no—
1774C4—1181no—
1775C4—1181no—
1776C4—1181no—
1777C4—1181no—
1778C4—1181no—
1779C4—2361no—
1780C4—2361no—
1781C4—2361no—
1782C4—2361no—
1783C4C2×#41×D5911yescharacteristic
1784C4#1683823711yescharacteristic
1785C2—22no—
1786C2—41no—
1787C2—81no—
1788C2—81no—
1789C2—4721no—
1790C2—4721no—
1791C2—4721no—
1792C2—2361no—
1793C2—2362no—
1794C2#2143758011yescharacteristic
1795C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1796C2#2143886611yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3308C2
socleC22×C59C23×D4
hypercenter#3308D59
hypocenterC59#61439
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #21437686C2semidirect
2. #21437583C2semidirect
3. #21437133C2semidirect
4. #21437020C2semidirect
5. #21436885C2semidirect
6. #21436826C2semidirect
7. #21436673C2semidirect
8. #21436570C2semidirect
9. #21436566C2semidirect
10. #21436419C2semidirect
11. #21436322C2semidirect
12. #21436243C2semidirect
13. #21436239C2semidirect
14. #21436083C2semidirect
15. #21435709C2semidirect
16. #21435592C2semidirect
17. #21435584C2semidirect
18. #21434694C2semidirect
19. #21434684C2semidirect
20. #21434670C2semidirect
21. #21434159C2semidirect
22. #21434149C2semidirect
23. #21434146C2semidirect
24. #21434142C2semidirect
25. #21434122C2semidirect
26. #21434093C2semidirect
27. #21433056C2semidirect
28. #21432909C2semidirect
29. #21432901C2semidirect
30. C2×#16837487C2semidirect
31. C59×#3308C2semidirect
37. #16838134C22semidirect
38. #16838128C22semidirect
40. #16838123C22semidirect
42. #16838104C22semidirect
44. #16838098C22semidirect
46. #16838071C22semidirect
48. #16838063C22semidirect
62. #16837947C22semidirect
64. #16837938C22semidirect
66. #16837931C22semidirect
70. #41×Dic59C22semidirect
71. C4×#11745689C22semidirect
74. C2×Q8×Dic59C22semidirect
78. #16837810C22semidirect
79. #16837808C22semidirect
80. #16837806C22semidirect
81. #16837792C22semidirect
82. #16837788C22semidirect
83. #16837777C22semidirect
84. #16837767C22semidirect
85. #16837765C22semidirect
86. #16837763C22semidirect
87. #16837747C22semidirect
88. #16837747C22semidirect
89. #16837736C22semidirect
90. #16837729C22semidirect
91. #16837729C22semidirect
92. #16837727C22semidirect
93. #16837723C22semidirect
94. #16837721C22semidirect
95. #16837720C22semidirect
96. #16837719C22semidirect
97. #16837718C22semidirect
98. #16837715C22semidirect
100. #16837705C22semidirect
102. #16837702C22semidirect
103. #16837695C22semidirect
104. #16837690C22semidirect
105. #16837689C22semidirect
106. #16837685C22semidirect
107. #16837685C22semidirect
109. #16837681C22semidirect
110. #16837655C22semidirect
111. #16837654C22semidirect
112. #16837654C22semidirect
113. #16837653C22semidirect
114. #16837651C22semidirect
115. #16837651C22semidirect
116. #16837650C22semidirect
117. #16837638C22semidirect
118. #16837636C22semidirect
119. #16837636C22semidirect
121. #16837620C22semidirect
123. #16837602C22semidirect
124. #16837600C22semidirect
125. #16837600C22semidirect
126. #16837600C22semidirect
127. #16837598C22semidirect
129. #16837596C22semidirect
130. #16837595C22semidirect
133. #16837550C22semidirect
134. #16837550C22semidirect
135. #16837547C22semidirect
136. #16837541C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
144. #16837512C22semidirect
146. #16837511C22semidirect
148. #16837505C22semidirect
150. SD16×Dic59C22semidirect
151. SD16×Dic59C22semidirect
156. #16837487C22semidirect
157. #16837487C22semidirect
158. #16837487C22semidirect
159. #16837487C22semidirect
160. #16837487C22semidirect
161. #16837487C22semidirect
162. D8×Dic59C22semidirect
164. #16837484C22semidirect
165. #16837484C22semidirect
167. #16837482C22semidirect
168. #16837482C22semidirect
169. #16837482C22semidirect
170. #16837478C22semidirect
171. #16837477C22semidirect
172. #16837474C22semidirect
173. #16837473C22semidirect
174. #16837470C22semidirect
175. #16837454C22semidirect
176. #16837452C22semidirect
177. #16837452C22semidirect
178. #16837443C22semidirect
179. #16837442C22semidirect
180. C2×#14273658C22semidirect
183. #16837402C22semidirect
185. #16837354C22semidirect
186. M16×Dic59C22semidirect
187. C2×C8×Dic59C22semidirect
188. C59×#548C22semidirect
190. C59×#489C22semidirect
191. C59×#484C22semidirect
192. C59×#480C22semidirect
193. C59×#477C22semidirect
194. C59×#468C22semidirect
195. C59×#466C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C2×#103×C59C22semidirect
625. #11745671#41semidirect
726. Q8×C59C2×#41semidirect
781. C2×Dic59AGL(1,ℤ/8)semidirect
831. C59⋊C8C2×#41semidirect
901. #3308D59semidirect
948. #548C2×D59semidirect
987. #489C2×D59semidirect
991. #484C2×D59semidirect
1001. #480C2×D59semidirect
1007. #477C2×D59semidirect
1021. #468C2×D59semidirect
1025. #466C2×D59semidirect
1029. #463C2×D59semidirect
1043. #449C2×D59semidirect
1045. #448C2×D59semidirect
1059. #440C2×D59semidirect
1085. #435C2×D59semidirect
1095. #417C2×D59semidirect
1096. C2×#103C2×D59semidirect
1101. C59#61439semidirect
1629. Q8#41×D59semidirect

Maximal subgroups

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

subgroupindex
#214376862
#214375832
#214371332
#214370202
#214368852
#214368262
#214366732
#214365702
#214365662
#214364192
#214363222
#214362432
#214362392
#214360832
#214357092
#214355922
#214355842
#214346942
#214346842
#214346702
#214341592
#214341492
#214341462
#214341422
#214341222
#214340932
#214330562
#214329092
#214329012
C2×#168374872
C59×#33082
#6143959