Finite Group Databasebeta

← #29475252

Subgroups — #29475252

Order 15104.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438375C211yesmaximal, characteristic, complemented
2#21437759C211yesmaximal, characteristic, complemented
3#21436435C211yesmaximal, characteristic, complemented
4#21436359C211yesmaximal, characteristic, complemented
5#21436329C211yesmaximal, characteristic, complemented
6#21436290C211yesmaximal, characteristic, complemented
7#21436177C211yesmaximal, characteristic, complemented
8#21436169C211yesmaximal, characteristic, complemented
9#21436121C211yesmaximal, characteristic, complemented
10#21436097C211yesmaximal, characteristic, complemented
11#21435760C211yesmaximal, characteristic, complemented
12#21435751C211yesmaximal, characteristic, complemented
13#21435690C211yesmaximal, characteristic, complemented
14#21435682C211yesmaximal, characteristic, complemented
15#21435655C211yesmaximal, characteristic, complemented
16#21435600C211yesmaximal, characteristic, complemented
17#21435597C211yesmaximal, characteristic, complemented
18#21435183C211yesmaximal, characteristic, complemented
19#21435165C211yesmaximal, characteristic, complemented
20#21434997C211yesmaximal, characteristic, complemented
21#21434979C211yesmaximal, characteristic, complemented
22#21434905C211yesmaximal, characteristic, complemented
23#21434900C211yesmaximal, characteristic, complemented
24#21434355C211yesmaximal, characteristic, complemented
25#21434306C211yesmaximal, characteristic, complemented
26#21433399C211yesmaximal, characteristic, complemented
27#21433368C211yesmaximal, characteristic, complemented
28#21433352C211yesmaximal, characteristic, complemented
29#21433334C211yesmaximal, characteristic, complemented
30#21433153C211yesmaximal, characteristic, complemented
31C59×#3275C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273758C2211yescharacteristic, complemented
35C2×#14273756C2211yescharacteristic, complemented
36C2×#14273756C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273747C2211yescharacteristic, complemented
39C2×SD16×D59C2211yescharacteristic, complemented
40#16838153—21no—
41#16838146—21no—
42#16838125C2211yescharacteristic, complemented
43#16838111—21no—
44#16838109C2211yescharacteristic, complemented
45#16838104C2211yescharacteristic, complemented
46#16838095—21no—
47#16838094C2211yescharacteristic, complemented
48#16838073C2211yescharacteristic
49#16838070C2211yescharacteristic
50Q8×C22⋊D59C2211yescharacteristic, complemented
51#16838062C2211yescharacteristic
52#16838060C2211yescharacteristic
53#16838060C2211yescharacteristic, complemented
54#16838051C2211yescharacteristic, complemented
55#16838044—21no—
56#16838042—21no—
57#16838040C2211yescharacteristic
58D4×D236C2211yescharacteristic
59#16838036—21no—
60D4×C22⋊D59C2211yescharacteristic
61#16838034—21no—
62#16838021C2211yescharacteristic, complemented
63#16838016—21no—
64#16838010C2211yescharacteristic, complemented
65#16838001—21no—
66#16837989—21no—
67#16837985—21no—
68#16837982C2211yescharacteristic
69#16837980C2211yescharacteristic, complemented
70#16837979—21no—
71#16837975C2211yescharacteristic, complemented
72#16837970C2211yescharacteristic
73#16837967—21no—
74#16837912C2211yescharacteristic, complemented
75#16837911C2211yescharacteristic
76#16837910—21no—
77C2×#14273703C2211yescharacteristic, complemented
78C2×#14273700—21no—
79#121×D59C2211yescharacteristic
80#16837881C2211yescharacteristic
81#16837795C2211yescharacteristic, complemented
82#16837792C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837761C2211yescharacteristic, complemented
86#16837758C2211yescharacteristic, complemented
87#16837749C2211yescharacteristic, complemented
88#16837742C2211yescharacteristic, complemented
89#16837736C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837735C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837724C2211yescharacteristic, complemented
96#16837716C2211yescharacteristic, complemented
97#16837716C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837713C2211yescharacteristic, complemented
100#16837712C2211yescharacteristic, complemented
101#16837700C2211yescharacteristic, complemented
102#16837698C2211yescharacteristic, complemented
103#16837682C2211yescharacteristic, complemented
104#16837653C2211yescharacteristic, complemented
105#16837651C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837648C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837646C2211yescharacteristic, complemented
111#16837645C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837641C2211yescharacteristic, complemented
115#16837640C2211yescharacteristic, complemented
116#16837637C2211yescharacteristic, complemented
117#16837633C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837621C2211yescharacteristic, complemented
120#16837621C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837611C2211yescharacteristic, complemented
123#16837605C2211yescharacteristic, complemented
124#16837603C2211yescharacteristic, complemented
125#16837602C2211yescharacteristic, complemented
126#16837600C2211yescharacteristic, complemented
127#16837595C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837566C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic
132#16837564C2211yescharacteristic, complemented
133#16837563C2211yescharacteristic, complemented
134#16837563C2211yescharacteristic, complemented
135#16837562C2211yescharacteristic, complemented
136#16837561C2211yescharacteristic
137#16837561C2211yescharacteristic
138#16837561C2211yescharacteristic, complemented
139#16837556C2211yescharacteristic, complemented
140#16837556C2211yescharacteristic, complemented
141#16837556C2211yescharacteristic, complemented
142#16837554C2211yescharacteristic, complemented
143#16837553C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic, complemented
145#16837551C2211yescharacteristic, complemented
146#16837551C2211yescharacteristic, complemented
147#16837551C2211yescharacteristic, complemented
148#16837551C2211yescharacteristic, complemented
149#16837548C2211yescharacteristic, complemented
150#16837547C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic, complemented
152#16837545C2211yescharacteristic, complemented
153#16837544C2211yescharacteristic
154#16837544C2211yescharacteristic, complemented
155#16837544C2211yescharacteristic, complemented
156#16837542C2211yescharacteristic, complemented
157#16837541C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837507C2211yescharacteristic, complemented
161#16837503C2211yescharacteristic, complemented
162#16837502C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164C4×Dic236C2211yescharacteristic, complemented
165#16837494C2211yescharacteristic, complemented
166D8×Dic59C2211yescharacteristic, complemented
167#16837481C2211yescharacteristic, complemented
168#16837478C2211yescharacteristic, complemented
169#16837477C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic, complemented
173#16837470C2211yescharacteristic, complemented
174#16837462C2211yescharacteristic, complemented
175#16837461C2211yescharacteristic, complemented
176#16837409C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837405C2211yescharacteristic, complemented
179#16837404C2211yescharacteristic, complemented
180#16837404C2211yescharacteristic, complemented
181#16837403C2211yescharacteristic, complemented
182#16837395C2211yescharacteristic, complemented
183C2×#14273648C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837365C2211yescharacteristic, complemented
187#16837364C2211yescharacteristic, complemented
188C2×#137×C59C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic
192C59×#495C2211yescharacteristic, complemented
193C59×#470C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#448C2211yescharacteristic, complemented
201C4×SD16×C59C2211yescharacteristic, complemented
202C59×#436C2211yescharacteristic, complemented
203#14273772—42no—
204#14273772—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745685—21no—
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687C2311yescharacteristic
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215#41×D59—42no—
216#41×D59—42no—
217C2×Q8×D59C2311yescharacteristic
218C2×Q8×D59C2311yescharacteristic
219C22×D236—21no—
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C22×C4×D59—21no—
230C22×C4×D59C2311yescharacteristic
231#14273758—42no—
232#14273756—42no—
233#14273756—42no—
234#14273751—42no—
235#14273747—42no—
236C2×Dic236C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745672C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745660C2311yescharacteristic
241C2×#11745660C2311yescharacteristic
242C2×#11745670C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745670C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249SD16×D59—42no—
250C2×#11745669C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745664C2311yescharacteristic
253C2×#11745659C2311yescharacteristic
254C2×#11745659C2311yescharacteristic
255C2×#11745659C2311yescharacteristic
256C22×C59⋊C8C2311yescharacteristic
257C2×C8×D59C2311yescharacteristic
258#14273727C2311yescharacteristic
259#14273726—21no—
260#14273725—21no—
261#14273725C2311yescharacteristic
262#14273724C2311yescharacteristic
263#14273723—21no—
264#14273723—21no—
265#14273723C2311yescharacteristic
266#14273722—21no—
267#14273722—21no—
268#14273722—21no—
269#14273722—21no—
270#14273721—21no—
271#14273720—21no—
272#14273720—21no—
273#14273719—21no—
274#14273718—21no—
275#14273718—21no—
276#14273718C2311yescharacteristic
277#14273717—21no—
278#14273716C2311yescharacteristic
279#14273715—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273712—21no—
286#14273712D411yescharacteristic
287#14273711—21no—
288#14273711—21no—
289#14273711—21no—
290#14273710—21no—
291#14273710—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709D411yescharacteristic
295#14273708—21no—
296#14273707C2311yescharacteristic
297#14273706—21no—
298#14273706—21no—
299#14273706C2311yescharacteristic
300#14273706C2311yescharacteristic
301#14273705—21no—
302#14273705—21no—
303#14273705D411yescharacteristic
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273704—21no—
308#14273704—21no—
309#14273704D411yescharacteristic
310#14273703—21no—
311#14273703—21no—
312#14273703—21no—
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273703C2311yescharacteristic
316#14273703C2311yescharacteristic
317#14273703C2311yescharacteristic
318#14273703C2311yescharacteristic
319#14273702—21no—
320#14273702C2311yescharacteristic
321#14273702C2311yescharacteristic
322#14273701—21no—
323#14273701—21no—
324#14273701C2311yescharacteristic
325#14273701C2311yescharacteristic
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700D411yescharacteristic
338#14273699—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273699—21no—
343#14273699—21no—
344#14273699—21no—
345#14273699—21no—
346#14273699D411yescharacteristic
347#14273698C2311yescharacteristic
348#14273698C2311yescharacteristic
349#14273698C2311yescharacteristic
350#14273697—21no—
351#14273697—21no—
352#14273697—21no—
353#14273697—21no—
354#14273697D411yescharacteristic
355#14273696—21no—
356#14273695—21no—
357#14273695—21no—
358#14273695—21no—
359#14273695D411yescharacteristic
360Q8×Dic59C2311yescharacteristic
361C4×Dic118—21no—
362C4×Dic118C2311yescharacteristic
363C4×Dic118C2311yescharacteristic
364#14273692C2311yescharacteristic
365C4×D236C2311yescharacteristic
366D4×Dic59—21no—
367D4×Dic59—21no—
368D4×Dic59—21no—
369D4×Dic59C2311yescharacteristic
370D4×Dic59C2311yescharacteristic
371#14273689—21no—
372#14273689—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59C2311yescharacteristic
376C4×C22⋊D59C2311yescharacteristic
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4—21no—
382#14273685C2311yescharacteristic
383#14273685C2311yescharacteristic
384#14273684C2311yescharacteristic
385#14273683—21no—
386#14273683—21no—
387C2×C4⋊Dic59C2311yescharacteristic
388C2×C4⋊Dic59C2311yescharacteristic
389C2×Dic59⋊C4—21no—
390C2×Dic59⋊C4—21no—
391C2×Dic59⋊C4—21no—
392C4⋊C4×D59C2311yescharacteristic
393C2×(C2×D59)⋊C4—21no—
394C2×(C2×D59)⋊C4—21no—
395C22⋊C4×D59—21no—
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273661C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273660C2311yescharacteristic
401#14273660C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442#14273638C2311yescharacteristic
443#14273637C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C22×Q8×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449#137×C59—42no—
450AGL(1,ℤ/8)×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×Q16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×SD16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C2×M16×C59C2311yescharacteristic
462#124×C59—21no—
463#124×C59C2311yescharacteristic
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466C22⋊Q8×C59—21no—
467C22⋊Q8×C59C2311yescharacteristic
468C22⋊Q8×C59C2311yescharacteristic
469#121×C59—21no—
470#121×C59—21no—
471#121×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic
473#120×C59—21no—
474C4×Q8×C59C2311yescharacteristic
475C4×D4×C59—21no—
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C2×C22⋊C4×C59—21no—
479#106×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59C2×D411yescharacteristic
495#41×C59—22no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59—21no—
500C2×Q8×C59—41no—
501C2×Q8×C59—41no—
502C2×Q8×C59C2411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×D4×C59—22no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—41no—
512C2×D4×C59C2×D411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C2×D4×C59C2411yescharacteristic
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—44no—
538C2×C22⋊D59—44no—
539C2×C22⋊D59—82no—
540C2×C22⋊D59C2×D411yescharacteristic
541C2×C22⋊D59C2×D411yescharacteristic
542C2×C22⋊D59C2×D411yescharacteristic
543C2×C22⋊D59C2×D411yescharacteristic
544C22×Dic59—21no—
545C22×Dic59—21no—
546C22×Dic59—21no—
547C22×Dic59—21no—
548C22×Dic59—21no—
549C22×Dic59—21no—
550C22×Dic59—21no—
551C22×Dic59C2×D411yescharacteristic
552#11745689—41no—
553#11745689—41no—
554Q8×D59—22no—
555Q8×D59—41no—
556Q8×D59—41no—
557Q8×D59—41no—
558#11745687—22no—
559#11745687—22no—
560#11745687—22no—
561#11745687—41no—
562#11745687—41no—
563#11745687—41no—
564#11745687—44no—
565#11745687—44no—
566D4×D59—22no—
567D4×D59—22no—
568D4×D59—41no—
569D4×D59—41no—
570D4×D59—41no—
571D4×D59—41no—
572D4×D59—44no—
573D4×D59—44no—
574D4×D59—82no—
575#11745685—22no—
576#11745685—22no—
577#11745685—41no—
578#11745685—41no—
579#11745685—41no—
580#11745685—41no—
581#11745685—44no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—82no—
588C2×D236C2×D411yescharacteristic
589C2×D236C2×D411yescharacteristic
590C2×D236C2411yescharacteristic
591C2×D236C2411yescharacteristic
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—41no—
599C2×C4×D59—41no—
600C2×C4×D59—44no—
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×Dic118—21no—
607C2×Dic118—21no—
608C2×Dic118—21no—
609C2×Dic118C2×D411yescharacteristic
610C2×Dic118C2411yescharacteristic
611C2×Dic118C2411yescharacteristic
612Q16×C59—41no—
613Q16×C59—41no—
614SD16×C59—22no—
615SD16×C59—22no—
616SD16×C59—41no—
617SD16×C59—41no—
618SD16×C59—41no—
619D8×C59—22no—
620D8×C59—41no—
621M16×C59—41no—
622M16×C59—41no—
623C2×C8×C59C2411yescharacteristic
624C2×C8×C59C2411yescharacteristic
625C2×C8×C59C2411yescharacteristic
626C2×C8×C59C2411yescharacteristic
627C4⋊C4×C59—21no—
628C4⋊C4×C59—21no—
629C4⋊C4×C59—21no—
630C4⋊C4×C59C2×D411yescharacteristic
631C4⋊C4×C59C2411yescharacteristic
632C4⋊C4×C59C2411yescharacteristic
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59C2×D411yescharacteristic
643C22⋊C4×C59C2×D411yescharacteristic
644C42×C59—21no—
645C42×C59C2411yescharacteristic
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59C2×D411yescharacteristic
654C22⋊Dic59C2×D411yescharacteristic
655#11745672—22no—
656#11745672—22no—
657#11745672—41no—
658#11745671—41no—
659#11745671—41no—
660#11745671—41no—
661#11745671—41no—
662#11745670—22no—
663#11745670—22no—
664#11745670—41no—
665#11745669—41no—
666#11745669—41no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4C2×D411yescharacteristic
683(C2×D59)⋊C4C2×D411yescharacteristic
684(C2×D59)⋊C4C2×D411yescharacteristic
685(C2×D59)⋊C4C2×D411yescharacteristic
686(C2×D59)⋊C4C2×D411yescharacteristic
687(C2×D59)⋊C4C2×D411yescharacteristic
688C4⋊Dic59—21no—
689C4⋊Dic59—21no—
690C4⋊Dic59—21no—
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59C2×D411yescharacteristic
695C4⋊Dic59C2411yescharacteristic
696C4⋊Dic59C2411yescharacteristic
697C4⋊Dic59C2411yescharacteristic
698C4⋊Dic59C2411yescharacteristic
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4C2×D411yescharacteristic
715Dic59⋊C4C2×D411yescharacteristic
716Dic59⋊C4C2×D411yescharacteristic
717Dic59⋊C4C2×D411yescharacteristic
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59C2411yescharacteristic
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731Dic236—22no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736#11745659—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—42no—
742C23×C59—81no—
743C23×C59—81no—
744C23×C59C22×D411yescharacteristic
745C23×C59C22×D411yescharacteristic
746C22×D59—21no—
747C22×D59—21no—
748C22×D59—41no—
749C22×D59—41no—
750C22×D59—41no—
751C22×D59—42no—
752C22×D59—42no—
753C22×D59—42no—
754C22×D59—42no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—81no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—41no—
776D4×C59—42no—
777D4×C59—42no—
778D4×C59—42no—
779D4×C59—81no—
780D4×C59—81no—
781D4×C59H(5,𝔽2)12yes—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—42no—
792C2×C4×C59—81no—
793C2×C4×C59—81no—
794C2×C4×C59—81no—
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C2511yescharacteristic
800C22⋊D59—24no—
801C22⋊D59—41no—
802C22⋊D59—41no—
803C22⋊D59—41no—
804C22⋊D59—41no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C2×Dic59—24no—
820C2×Dic59—21no—
821C2×Dic59—21no—
822C2×Dic59—21no—
823C2×Dic59—21no—
824C2×Dic59—21no—
825C2×Dic59—21no—
826C2×Dic59—41no—
827C2×Dic59—42no—
828C2×Dic59—81no—
829C2×Dic59—81no—
830C2×Dic59—81no—
831C2×Dic59—81no—
832C2×Dic59—81no—
833C2×Dic59C22×D411yescharacteristic
834C2×Dic59C22×D411yescharacteristic
835C2×Dic59C22×D411yescharacteristic
836C2×Dic59C22×D411yescharacteristic
837C2×Dic59C22×D411yescharacteristic
838D236—21no—
839D236—21no—
840D236—21no—
841D236—21no—
842D236—41no—
843D236—41no—
844D236—42no—
845D236—42no—
846D236—81no—
847D236—81no—
848D236—81no—
849C4×D59—21no—
850C4×D59—21no—
851C4×D59—21no—
852C4×D59—21no—
853C4×D59—21no—
854C4×D59—21no—
855C4×D59—41no—
856C4×D59—41no—
857C4×D59—42no—
858C4×D59—42no—
859C4×D59—42no—
860C4×D59—42no—
861C4×D59—81no—
862C4×D59—81no—
863Dic118—21no—
864Dic118—21no—
865Dic118—21no—
866Dic118—41no—
867Dic118—42no—
868Dic118—81no—
869Dic118—81no—
870Dic118H(5,𝔽2)12yes—
871C8×C59—21no—
872C8×C59—21no—
873C8×C59—21no—
874C8×C59—21no—
875C59⋊C8—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879#61654—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—22no—
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—162no—
896C22×C59C23×D411yescharacteristic
897C2×D59—21no—
898C2×D59—21no—
899C2×D59—21no—
900C2×D59—21no—
901C2×D59—21no—
902C2×D59—21no—
903C2×D59—21no—
904C2×D59—21no—
905C2×D59—21no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—82no—
913C2×D59—84no—
914C2×D59—162no—
915C2×D59—162no—
916C4×C59—21no—
917C4×C59—21no—
918C4×C59—21no—
919C4×C59—21no—
920C4×C59—41no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59—41no—
924C4×C59—41no—
925C4×C59C2×H(5,𝔽2)11yescharacteristic
926C4×C59C2×H(5,𝔽2)11yescharacteristic
927Dic59—21no—
928Dic59—21no—
929Dic59—22no—
930Dic59—21no—
931Dic59—21no—
932Dic59—21no—
933Dic59—41no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3541—591no—
939#3488—591no—
940#3333—591no—
941#3327—591no—
942#3324—591no—
943#3322—591no—
944#3314—591no—
945#3313—591no—
946#3310—591no—
947#3309—591no—
948#3278—591no—
949#3277—591no—
950#3275D5911yescharacteristic, complemented
951#3272—591no—
952#3271—591no—
953#3269—591no—
954#3266—591no—
955#3265—591no—
956#3224—591no—
957#3222—591no—
958#3203—591no—
959#3201—591no—
960#3194—591no—
961#3193—591no—
962#3124—591no—
963#3120—591no—
964#3012—591no—
965#3009—591no—
966#3007—591no—
967#3005—591no—
968#2978—591no—
969C2×C59—42no—
970C2×C59—41no—
971C2×C59—41no—
972C2×C59—81no—
973C2×C59—81no—
974C2×C59#348411yescharacteristic
975C2×C59#358511yescharacteristic
976C2×C59#358611yescharacteristic
977D59—41no—
978D59—41no—
979D59—41no—
980D59—81no—
981D59—81no—
982C2×H(5,𝔽2)—591no—
983C22×#41—591no—
984C2×#137—591no—
985C2×#137—591no—
986C2×#137—591no—
987C2×#137C2×D5911yescharacteristic, complemented
988C2×AGL(1,ℤ/8)—591no—
989C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
990C2×#135—591no—
991C22×SD16—591no—
992#563—1181no—
993#562—1181no—
994#556—591no—
995#554—591no—
996#554—1181no—
997#553—591no—
998#553—1181no—
999#552—591no—
1000#550—591no—
1001#550—591no—
1002D4×Q8—591no—
1003#548—591no—
1004#548—591no—
1005#548—591no—
1006#548C2×D5911yescharacteristic, complemented
1007#547—591no—
1008#546—591no—
1009#546—1181no—
1010#546—1181no—
1011#546C2×D5911yescharacteristic
1012D42—591no—
1013D42—591no—
1014D42—1181no—
1015D42—1181no—
1016#542—591no—
1017#542—1181no—
1018#541—591no—
1019#539—1181no—
1020#538—1181no—
1021#538—1181no—
1022#537—591no—
1023#537—591no—
1024#537—1181no—
1025#536—591no—
1026#535—591no—
1027#535—1181no—
1028#525—591no—
1029#525—591no—
1030#525—1181no—
1031C2×C22⋊Q8—591no—
1032C2×#121—591no—
1033C2×#121—1181no—
1034#520—591no—
1035#497—591no—
1036#496—591no—
1037#495C2×D5911yescharacteristic, complemented
1038#492—591no—
1039#490—591no—
1040#489—591no—
1041#488—591no—
1042#486—591no—
1043#485—591no—
1044#484—591no—
1045#484—591no—
1046#484—591no—
1047#483—591no—
1048#482—591no—
1049#482—591no—
1050#482—591no—
1051#480—591no—
1052#480—591no—
1053#480—591no—
1054#480—591no—
1055#479—591no—
1056#478—591no—
1057#477—591no—
1058#474—591no—
1059#470C2×D5911yescharacteristic, complemented
1060#469—591no—
1061#469C2×D5911yescharacteristic, complemented
1062#468—591no—
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#468—591no—
1068#468—591no—
1069#468—591no—
1070#468—591no—
1071#467—591no—
1072#467—591no—
1073#466—591no—
1074#465—591no—
1075#464—591no—
1076#464—591no—
1077#464—591no—
1078#464C2×D5911yescharacteristic, complemented
1079#463—591no—
1080#463C2×D5911yescharacteristic, complemented
1081#462—591no—
1082#461—591no—
1083#460—591no—
1084#460—591no—
1085#460—591no—
1086#459—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452C2×D5911yescharacteristic, complemented
1099#451—591no—
1100#451—591no—
1101#451—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#450—591no—
1107#450—591no—
1108#450—591no—
1109#450C2×D5911yescharacteristic, complemented
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449C2×D5911yescharacteristic, complemented
1118#448—591no—
1119#448—591no—
1120#448C2×D5911yescharacteristic, complemented
1121#447—591no—
1122#447—591no—
1123#441—591no—
1124#440—591no—
1125#440—591no—
1126#440—591no—
1127C4×Q16—591no—
1128C4×Q16—591no—
1129C4×SD16C2×D5911yescharacteristic, complemented
1130C4×D8—591no—
1131#436—591no—
1132#436—591no—
1133#436—591no—
1134#436C2×D5911yescharacteristic, complemented
1135#435—591no—
1136#435—591no—
1137#435—591no—
1138#435—591no—
1139#433—591no—
1140#433—591no—
1141#419—591no—
1142#418—591no—
1143#418—591no—
1144#417—591no—
1145#417—591no—
1146#417—591no—
1147#416—591no—
1148C2×#102—591no—
1149#408—591no—
1150#408—591no—
1151#407—591no—
1152#407—591no—
1153C59#6165411yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—2362no—
1155H(5,𝔽2)—2362no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—591no—
1162C2×#41—591no—
1163C2×#41—1181no—
1164C2×#41—1181no—
1165C2×#41—1181no—
1166C2×#41—2362no—
1167C2×#41—2362no—
1168C2×#41C22×D5911yescharacteristic
1169C2×#41C22×D5911yescharacteristic
1170C22×Q8—591no—
1171C22×Q8—591no—
1172C22×Q8C22×D5911yescharacteristic
1173C22×D4—591no—
1174C22×D4—591no—
1175C22×D4—591no—
1176C22×D4—1181no—
1177C22×D4—1181no—
1178C22×D4—1181no—
1179C22×D4—1181no—
1180C22×D4—1181no—
1181C22×D4—1181no—
1182C22×D4—1181no—
1183C22×D4C22×D5911yescharacteristic
1184C23×C4—591no—
1185C23×C4—1181no—
1186#137—42no—
1187#137—2362no—
1188#137—2362no—
1189#137—2362no—
1190AGL(1,ℤ/8)—42no—
1191AGL(1,ℤ/8)—2362no—
1192#135—2362no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16—591no—
1196C2×Q16—591no—
1197C2×Q16C22×D5911yescharacteristic
1198C2×Q16C22×D5911yescharacteristic
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—2362no—
1209C2×SD16C22×D5911yescharacteristic
1210C2×SD16C22×D5911yescharacteristic
1211C2×SD16C22×D5911yescharacteristic
1212C2×SD16C22×D5911yescharacteristic
1213C2×SD16C22×D5911yescharacteristic
1214C2×D8—591no—
1215C2×D8—591no—
1216C2×D8C22×D5911yescharacteristic
1217C2×D8C22×D5911yescharacteristic
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16—591no—
1221C2×M16—591no—
1222C2×M16C22×D5911yescharacteristic
1223C2×M16C22×D5911yescharacteristic
1224C22×C8—591no—
1225C22×C8—591no—
1226C4⋊Q8—591no—
1227C4⋊Q8—591no—
1228C4⋊Q8—1181no—
1229C4⋊Q8—1181no—
1230#127—591no—
1231#127—591no—
1232#127—1181no—
1233#127—1181no—
1234#126—1181no—
1235#126—1181no—
1236#126—1181no—
1237#126—1181no—
1238#126—1181no—
1239#126—1181no—
1240#126—1181no—
1241#125—591no—
1242#125—1181no—
1243#125—1181no—
1244#125—1181no—
1245#125—1181no—
1246#124—21no—
1247#124—591no—
1248#124—1181no—
1249#124—1181no—
1250#124—1181no—
1251#124—1181no—
1252#124—1181no—
1253#124—1181no—
1254#124C22×D5911yescharacteristic
1255#124C22×D5911yescharacteristic
1256#123—21no—
1257#123—591no—
1258#123—591no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268C22⋊Q8—21no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—591no—
1275C22⋊Q8—591no—
1276C22⋊Q8—591no—
1277C22⋊Q8—591no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—1181no—
1281C22⋊Q8—1181no—
1282C22⋊Q8—1181no—
1283C22⋊Q8—1181no—
1284C22⋊Q8—1181no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8C22×D5911yescharacteristic
1293C22⋊Q8C22×D5911yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—591no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121C22×D5911yescharacteristic
1328#121C22×D5911yescharacteristic
1329#120—21no—
1330#120—591no—
1331#120—591no—
1332#120—1181no—
1333#120—1181no—
1334#120—1181no—
1335#120—1181no—
1336#120—1181no—
1337#120—1181no—
1338#120—1181no—
1339#120—1181no—
1340C4×Q8—591no—
1341C4×Q8—591no—
1342C4×Q8—591no—
1343C4×Q8—591no—
1344C4×Q8—1181no—
1345C4×Q8C22×D5911yescharacteristic
1346C4×D4—21no—
1347C4×D4—591no—
1348C4×D4—591no—
1349C4×D4—591no—
1350C4×D4—591no—
1351C4×D4—591no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4—1181no—
1358C4×D4—1181no—
1359C4×D4—1181no—
1360C4×D4—1181no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4C22×D5911yescharacteristic
1365C4×D4C22×D5911yescharacteristic
1366#117—591no—
1367#117—591no—
1368#117—591no—
1369#117—1181no—
1370#117—1181no—
1371C2×C4⋊C4—591no—
1372C2×C4⋊C4—591no—
1373C2×C4⋊C4—591no—
1374C2×C4⋊C4—1181no—
1375C2×C4⋊C4—1181no—
1376C2×C4⋊C4—1181no—
1377C2×C22⋊C4—21no—
1378C2×C22⋊C4—1181no—
1379C2×C22⋊C4—1181no—
1380C2×C22⋊C4—1181no—
1381#107—591no—
1382#107—591no—
1383#107—591no—
1384#107—591no—
1385#107—591no—
1386#107—591no—
1387#106—591no—
1388#106C22×D5911yescharacteristic
1389C4⋊C8—591no—
1390C4⋊C8—591no—
1391C4⋊C8—591no—
1392C4⋊C8C22×D5911yescharacteristic
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103C22×D5911yescharacteristic
1405#103C22×D5911yescharacteristic
1406#103C22×D5911yescharacteristic
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102C22×D5911yescharacteristic
1423#102C22×D5911yescharacteristic
1424#102C22×D5911yescharacteristic
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8—591no—
1431C22⋊C8—591no—
1432C22⋊C8—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8C22×D5911yescharacteristic
1436C22⋊C8C22×D5911yescharacteristic
1437#97—591no—
1438#97—591no—
1439C4×C8—591no—
1440C4×C8C22×D5911yescharacteristic
1441C24—21no—
1442C24—591no—
1443C24—1181no—
1444C24—1181no—
1445C24—1181no—
1446#41—22no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—1182no—
1451#41—1182no—
1452#41—1182no—
1453#41—1182no—
1454#41—1182no—
1455#41—2361no—
1456#41—2361no—
1457#41—2361no—
1458#41—2361no—
1459#41—2364no—
1460#41—2361no—
1461#41—2361no—
1462#41—2361no—
1463#41—2364no—
1464#41—2364no—
1465#41—2361no—
1466#41—2361no—
1467C2×Q8—21no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—591no—
1471C2×Q8—591no—
1472C2×Q8—591no—
1473C2×Q8—1181no—
1474C2×Q8—1181no—
1475C2×Q8—1181no—
1476C2×Q8—1182no—
1477C2×Q8—2361no—
1478C2×Q8—2361no—
1479C2×Q8—2361no—
1480C2×Q8C23×D5911yescharacteristic
1481C2×Q8C23×D5911yescharacteristic
1482C2×Q8C23×D5911yescharacteristic
1483C2×D4—22no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—41no—
1490C2×D4—591no—
1491C2×D4—591no—
1492C2×D4—591no—
1493C2×D4—591no—
1494C2×D4—591no—
1495C2×D4—591no—
1496C2×D4—591no—
1497C2×D4—591no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1182no—
1508C2×D4—1182no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—4722no—
1521C2×D4—4722no—
1522C2×D4—4722no—
1523C2×D4—2361no—
1524C2×D4—2361no—
1525C2×D4—2361no—
1526C2×D4—2361no—
1527C2×D4—2364no—
1528C2×D4—2364no—
1529C2×D4—2364no—
1530C2×D4—2364no—
1531C2×D4D4×D5911yescharacteristic
1532C2×D4C23×D5911yescharacteristic
1533C2×D4C23×D5911yescharacteristic
1534C2×D4C23×D5911yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—591no—
1540C22×C4—591no—
1541C22×C4—591no—
1542C22×C4—591no—
1543C22×C4—591no—
1544C22×C4—591no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4—1181no—
1552C22×C4—1181no—
1553C22×C4—1181no—
1554C22×C4—1181no—
1555C22×C4—1181no—
1556C22×C4—1181no—
1557C22×C4—1181no—
1558C22×C4—2361no—
1559C22×C4—2361no—
1560C22×C4—2364no—
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563Q16—41no—
1564Q16—41no—
1565Q16—1182no—
1566Q16—1182no—
1567Q16—1182no—
1568Q16—2361no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—41no—
1574SD16—1182no—
1575SD16—1182no—
1576SD16—2361no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581SD16—2361no—
1582SD16—2361no—
1583D8—22no—
1584D8—41no—
1585D8—2361no—
1586D8—2361no—
1587M16—41no—
1588M16—41no—
1589M16—2361no—
1590M16—2361no—
1591M16—2361no—
1592M16—2361no—
1593C2×C8—591no—
1594C2×C8—591no—
1595C2×C8—591no—
1596C2×C8—591no—
1597C2×C8—2361no—
1598C2×C8—2361no—
1599C2×C8C23×D5911yescharacteristic
1600C2×C8C23×D5911yescharacteristic
1601C2×C8C23×D5911yescharacteristic
1602C2×C8C23×D5911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—591no—
1607C4⋊C4—591no—
1608C4⋊C4—591no—
1609C4⋊C4—591no—
1610C4⋊C4—591no—
1611C4⋊C4—591no—
1612C4⋊C4—591no—
1613C4⋊C4—591no—
1614C4⋊C4—591no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4D4×D5911yescharacteristic
1637C4⋊C4C23×D5911yescharacteristic
1638C4⋊C4C23×D5911yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—591no—
1649C22⋊C4—591no—
1650C22⋊C4—591no—
1651C22⋊C4—591no—
1652C22⋊C4—591no—
1653C22⋊C4—591no—
1654C22⋊C4—591no—
1655C22⋊C4—591no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4D4×D5911yescharacteristic
1679C22⋊C4D4×D5911yescharacteristic
1680C42—21no—
1681C42—591no—
1682C42—1181no—
1683C42—1181no—
1684C42—1181no—
1685C42—1181no—
1686C42—1181no—
1687C42—1181no—
1688C42C23×D5911yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—42no—
1693C23—81no—
1694C23—81no—
1695C23—591no—
1696C23—591no—
1697C23—591no—
1698C23—1181no—
1699C23—1181no—
1700C23—4721no—
1701C23—4721no—
1702C23—4721no—
1703C23—4721no—
1704C23—4721no—
1705C23—2361no—
1706C23—2361no—
1707C23—2361no—
1708C23—2362no—
1709C23—2362no—
1710C23—2362no—
1711C23—2362no—
1712C23C2×D4×D5911yescharacteristic
1713C23C2×D4×D5911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—81no—
1721Q8—592no—
1722Q8—1181no—
1723Q8—1181no—
1724Q8—1181no—
1725Q8—4721no—
1726Q8—4721no—
1727Q8—2361no—
1728Q8—2362no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—41no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—81no—
1739D4—81no—
1740D4—1184no—
1741D4—1181no—
1742D4—1181no—
1743D4—1181no—
1744D4—1181no—
1745D4—4721no—
1746D4—4721no—
1747D4—4721no—
1748D4—4721no—
1749D4—4721no—
1750D4—4721no—
1751D4—4721no—
1752D4—4721no—
1753D4—4721no—
1754D4—4721no—
1755D4—2361no—
1756D4—2361no—
1757D4—2362no—
1758D4—2362no—
1759D4—2361no—
1760D4—2361no—
1761D4—2361no—
1762D4—2361no—
1763D4—2362no—
1764D4—2362no—
1765D4—2362no—
1766D4—2362no—
1767D4—2362no—
1768D4—2362no—
1769D4—2362no—
1770D4#1427377212yes—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—42no—
1781C2×C4—81no—
1782C2×C4—81no—
1783C2×C4—81no—
1784C2×C4—591no—
1785C2×C4—591no—
1786C2×C4—591no—
1787C2×C4—591no—
1788C2×C4—591no—
1789C2×C4—1184no—
1790C2×C4—1181no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—1181no—
1796C2×C4—1181no—
1797C2×C4—1181no—
1798C2×C4—1181no—
1799C2×C4—1181no—
1800C2×C4—1181no—
1801C2×C4—1181no—
1802C2×C4—4721no—
1803C2×C4—4721no—
1804C2×C4—4721no—
1805C2×C4—4721no—
1806C2×C4—4721no—
1807C2×C4—4721no—
1808C2×C4—4721no—
1809C2×C4—2361no—
1810C2×C4—2361no—
1811C2×C4—2362no—
1812C2×C4—2362no—
1813C2×C4—2362no—
1814C2×C4—2362no—
1815C2×C4—2361no—
1816C2×C4—2362no—
1817C2×C4C2×D4×D5911yescharacteristic
1818C2×C4C2×D4×D5911yescharacteristic
1819C2×C4C2×D4×D5911yescharacteristic
1820C2×C4C2×D4×D5911yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1181no—
1827C8—1181no—
1828C8—1181no—
1829C8—1181no—
1830C22—21no—
1831C22—21no—
1832C22—22no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—162no—
1846C22—1181no—
1847C22—1181no—
1848C22—1181no—
1849C22—1181no—
1850C22—1181no—
1851C22—1181no—
1852C22—1181no—
1853C22—1181no—
1854C22—1181no—
1855C22—9442no—
1856C22—9442no—
1857C22—4724no—
1858C22—4722no—
1859C22—2361no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22—2361no—
1865C22C22×D4×D5911yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—1181no—
1876C4—1181no—
1877C4—1181no—
1878C4—1182no—
1879C4—1181no—
1880C4—1181no—
1881C4—2361no—
1882C4—2361no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4H(5,𝔽2)×D5911yescharacteristic
1887C4C2×#1427377211yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—81no—
1893C2—4721no—
1894C2—4721no—
1895C2—2361no—
1896C2—2361no—
1897C2—2361no—
1898C2#2143772411yescharacteristic
1899C2#2143887411yescharacteristic
1900C2#2143888011yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3275C2
socleC22×C59C23×D4
hypercenter#3275D59
hypocenterC59#61654
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. #21438375C2semidirect
2. #21437759C2semidirect
3. #21436435C2semidirect
4. #21436359C2semidirect
5. #21436329C2semidirect
6. #21436290C2semidirect
7. #21436177C2semidirect
8. #21436169C2semidirect
9. #21436121C2semidirect
10. #21436097C2semidirect
11. #21435760C2semidirect
12. #21435751C2semidirect
13. #21435690C2semidirect
14. #21435682C2semidirect
15. #21435655C2semidirect
16. #21435600C2semidirect
17. #21435597C2semidirect
18. #21435183C2semidirect
19. #21435165C2semidirect
20. #21434997C2semidirect
21. #21434979C2semidirect
22. #21434905C2semidirect
23. #21434900C2semidirect
24. #21434355C2semidirect
25. #21434306C2semidirect
26. #21433399C2semidirect
27. #21433368C2semidirect
28. #21433352C2semidirect
29. #21433334C2semidirect
30. #21433153C2semidirect
31. C59×#3275C2semidirect
34. C2×#14273758C22semidirect
35. C2×#14273756C22semidirect
36. C2×#14273756C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273747C22semidirect
39. C2×SD16×D59C22semidirect
42. #16838125C22semidirect
44. #16838109C22semidirect
45. #16838104C22semidirect
47. #16838094C22semidirect
50. Q8×C22⋊D59C22semidirect
53. #16838060C22semidirect
54. #16838051C22semidirect
62. #16838021C22semidirect
64. #16838010C22semidirect
69. #16837980C22semidirect
71. #16837975C22semidirect
74. #16837912C22semidirect
77. C2×#14273703C22semidirect
81. #16837795C22semidirect
82. #16837792C22semidirect
83. #16837773C22semidirect
84. #16837765C22semidirect
85. #16837761C22semidirect
86. #16837758C22semidirect
87. #16837749C22semidirect
88. #16837742C22semidirect
89. #16837736C22semidirect
90. #16837736C22semidirect
91. #16837735C22semidirect
92. #16837734C22semidirect
93. #16837728C22semidirect
94. #16837728C22semidirect
95. #16837724C22semidirect
96. #16837716C22semidirect
97. #16837716C22semidirect
98. #16837714C22semidirect
99. #16837713C22semidirect
100. #16837712C22semidirect
101. #16837700C22semidirect
102. #16837698C22semidirect
103. #16837682C22semidirect
104. #16837653C22semidirect
105. #16837651C22semidirect
106. #16837651C22semidirect
107. #16837651C22semidirect
108. #16837648C22semidirect
109. #16837648C22semidirect
110. #16837646C22semidirect
111. #16837645C22semidirect
112. #16837645C22semidirect
113. #16837645C22semidirect
114. #16837641C22semidirect
115. #16837640C22semidirect
116. #16837637C22semidirect
117. #16837633C22semidirect
118. #16837626C22semidirect
119. #16837621C22semidirect
120. #16837621C22semidirect
121. #16837619C22semidirect
122. #16837611C22semidirect
123. #16837605C22semidirect
124. #16837603C22semidirect
125. #16837602C22semidirect
126. #16837600C22semidirect
127. #16837595C22semidirect
128. #16837567C22semidirect
129. #16837566C22semidirect
130. #16837566C22semidirect
132. #16837564C22semidirect
133. #16837563C22semidirect
134. #16837563C22semidirect
135. #16837562C22semidirect
138. #16837561C22semidirect
139. #16837556C22semidirect
140. #16837556C22semidirect
141. #16837556C22semidirect
142. #16837554C22semidirect
143. #16837553C22semidirect
144. #16837551C22semidirect
145. #16837551C22semidirect
146. #16837551C22semidirect
147. #16837551C22semidirect
148. #16837551C22semidirect
149. #16837548C22semidirect
150. #16837547C22semidirect
151. #16837546C22semidirect
152. #16837545C22semidirect
154. #16837544C22semidirect
155. #16837544C22semidirect
156. #16837542C22semidirect
157. #16837541C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837507C22semidirect
161. #16837503C22semidirect
162. #16837502C22semidirect
163. #16837499C22semidirect
164. C4×Dic236C22semidirect
165. #16837494C22semidirect
166. D8×Dic59C22semidirect
167. #16837481C22semidirect
168. #16837478C22semidirect
169. #16837477C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. #16837471C22semidirect
173. #16837470C22semidirect
174. #16837462C22semidirect
175. #16837461C22semidirect
176. #16837409C22semidirect
177. #16837405C22semidirect
178. #16837405C22semidirect
179. #16837404C22semidirect
180. #16837404C22semidirect
181. #16837403C22semidirect
182. #16837395C22semidirect
183. C2×#14273648C22semidirect
184. #16837370C22semidirect
185. #16837367C22semidirect
186. #16837365C22semidirect
187. #16837364C22semidirect
188. C2×#137×C59C22semidirect
189. C2×AGL(1,ℤ/8)×C59C22semidirect
190. C59×#548C22semidirect
192. C59×#495C22semidirect
193. C59×#470C22semidirect
194. C59×#469C22semidirect
195. C59×#464C22semidirect
196. C59×#463C22semidirect
197. C59×#452C22semidirect
198. C59×#450C22semidirect
199. C59×#449C22semidirect
200. C59×#448C22semidirect
201. C4×SD16×C59C22semidirect
202. C59×#436C22semidirect
950. #3275D59semidirect
987. C2×#137C2×D59semidirect
989. C2×AGL(1,ℤ/8)C2×D59semidirect
1006. #548C2×D59semidirect
1037. #495C2×D59semidirect
1059. #470C2×D59semidirect
1061. #469C2×D59semidirect
1078. #464C2×D59semidirect
1080. #463C2×D59semidirect
1098. #452C2×D59semidirect
1109. #450C2×D59semidirect
1117. #449C2×D59semidirect
1120. #448C2×D59semidirect
1129. C4×SD16C2×D59semidirect
1134. #436C2×D59semidirect
1153. C59#61654semidirect

Maximal subgroups

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

subgroupindex
#214383752
#214377592
#214364352
#214363592
#214363292
#214362902
#214361772
#214361692
#214361212
#214360972
#214357602
#214357512
#214356902
#214356822
#214356552
#214356002
#214355972
#214351832
#214351652
#214349972
#214349792
#214349052
#214349002
#214343552
#214343062
#214333992
#214333682
#214333522
#214333342
#214331532
C59×#32752
#6165459