Finite Group Databasebeta

← #29475646

Subgroups — #29475646

Order 15104.

2160 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438512C211yesmaximal, characteristic, complemented
2#21437868C211yesmaximal, characteristic, complemented
3#21436237C211yesmaximal, characteristic, complemented
4#21436230C211yesmaximal, characteristic, complemented
5#21436229C211yesmaximal, characteristic, complemented
6#21436217C211yesmaximal, characteristic, complemented
7#21436122C211yesmaximal, characteristic, complemented
8#21436121C211yesmaximal, characteristic, complemented
9#21436108C211yesmaximal, characteristic, complemented
10#21436104C211yesmaximal, characteristic, complemented
11#21435684C211yesmaximal, characteristic, complemented
12#21435682C211yesmaximal, characteristic, complemented
13#21435640C211yesmaximal, characteristic, complemented
14#21435635C211yesmaximal, characteristic, complemented
15#21435591C211yesmaximal, characteristic, complemented
16#21435582C211yesmaximal, characteristic, complemented
17#21435570C211yesmaximal, characteristic, complemented
18#21435118C211yesmaximal, characteristic, complemented
19#21435110C211yesmaximal, characteristic, complemented
20#21434966C211yesmaximal, characteristic, complemented
21#21434956C211yesmaximal, characteristic, complemented
22#21434949C211yesmaximal, characteristic, complemented
23#21434945C211yesmaximal, characteristic, complemented
24#21434209C211yesmaximal, characteristic, complemented
25#21434202C211yesmaximal, characteristic, complemented
26#21433401C211yesmaximal, characteristic, complemented
27#21433399C211yesmaximal, characteristic, complemented
28#21433369C211yesmaximal, characteristic, complemented
29#21433359C211yesmaximal, characteristic, complemented
30#21433164C211yesmaximal, characteristic, complemented
31C59×#3265C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C2×#14273772C2211yescharacteristic, complemented
34C2×#14273758C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273748C2211yescharacteristic, complemented
38C2×#14273747C2211yescharacteristic, complemented
39C2×D8×D59C2211yescharacteristic, complemented
40#16838153—21no—
41#16838140—21no—
42#16838114—21no—
43#16838099C2211yescharacteristic, complemented
44#16838098C2211yescharacteristic, complemented
45#16838094C2211yescharacteristic, complemented
46#16838093C2211yescharacteristic, complemented
47#16838081—21no—
48#16838073C2211yescharacteristic, complemented
49#16838072C2211yescharacteristic
50#16838070C2211yescharacteristic
51#16838070C2211yescharacteristic, complemented
52#16838063C2211yescharacteristic, complemented
53#16838045C2211yescharacteristic, complemented
54#16838040C2211yescharacteristic, complemented
55D4×D236C2211yescharacteristic
56#16838036—21no—
57D4×C22⋊D59—21no—
58D4×C22⋊D59C2211yescharacteristic
59D4×C22⋊D59C2211yescharacteristic, complemented
60#16838034—21no—
61#16838034—21no—
62#16838003—21no—
63#16838002—21no—
64#16837992—21no—
65#16837986—21no—
66#16837982C2211yescharacteristic, complemented
67#16837980C2211yescharacteristic, complemented
68#16837976C2211yescharacteristic, complemented
69#16837968C2211yescharacteristic
70#16837968C2211yescharacteristic, complemented
71#16837968C2211yescharacteristic, complemented
72#16837967—21no—
73#16837967—21no—
74#16837949C2211yescharacteristic
75#16837947—21no—
76C2×#14273723—21no—
77#127×D59C2211yescharacteristic, complemented
78#16837939C2211yescharacteristic, complemented
79#16837931C2211yescharacteristic, complemented
80C4×#11745687C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837788C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837765C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837742C2211yescharacteristic, complemented
89#16837741C2211yescharacteristic, complemented
90#16837729C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837724C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837723C2211yescharacteristic, complemented
96#16837719C2211yescharacteristic, complemented
97#16837718C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837710C2211yescharacteristic, complemented
101#16837708C2211yescharacteristic, complemented
102#16837702C2211yescharacteristic, complemented
103#16837700C2211yescharacteristic, complemented
104#16837655C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837645C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837638C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837635C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic, complemented
115#16837634C2211yescharacteristic, complemented
116#16837633C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837627C2211yescharacteristic, complemented
119#16837621C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic, complemented
121#16837602C2211yescharacteristic, complemented
122#16837600C2211yescharacteristic, complemented
123#16837600C2211yescharacteristic, complemented
124#16837598C2211yescharacteristic, complemented
125#16837595C2211yescharacteristic, complemented
126#16837595C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837562C2211yescharacteristic, complemented
129#16837561C2211yescharacteristic, complemented
130#16837561C2211yescharacteristic, complemented
131#16837561C2211yescharacteristic, complemented
132#16837561C2211yescharacteristic, complemented
133#16837561C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic, complemented
135#16837551C2211yescharacteristic, complemented
136#16837551C2211yescharacteristic, complemented
137#16837551C2211yescharacteristic, complemented
138#16837551C2211yescharacteristic, complemented
139#16837551C2211yescharacteristic, complemented
140#16837551C2211yescharacteristic, complemented
141#16837550C2211yescharacteristic, complemented
142#16837549C2211yescharacteristic, complemented
143#16837549C2211yescharacteristic, complemented
144#16837548C2211yescharacteristic
145#16837547C2211yescharacteristic, complemented
146#16837546C2211yescharacteristic, complemented
147#16837545C2211yescharacteristic, complemented
148#16837544C2211yescharacteristic
149#16837544C2211yescharacteristic, complemented
150#16837541C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837536C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837507C2211yescharacteristic, complemented
163#16837506C2211yescharacteristic, complemented
164#16837504C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167#16837476C2211yescharacteristic, complemented
168#16837475C2211yescharacteristic, complemented
169#16837474C2211yescharacteristic, complemented
170#16837473C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic, complemented
173#16837470C2211yescharacteristic, complemented
174#16837458C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837407C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837404C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#16837399C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182C2×#14273648C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837368C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×SD16×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic, complemented
192C59×#496C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203#14273772—42no—
204#14273772—42no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745687—21no—
213C2×#11745687—21no—
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217C22×D236—21no—
218C22×C22⋊D59—21no—
219C22×C22⋊D59—21no—
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C22×C22⋊D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233#14273758—42no—
234#14273754—42no—
235#14273751—42no—
236#14273748—42no—
237#14273747—42no—
238C2×#11745672C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745660C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745671C2311yescharacteristic
243C2×#11745671C2311yescharacteristic
244C2×#11745671C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×D472C2311yescharacteristic
247C2×D472C2311yescharacteristic
248C2×#11745669C2311yescharacteristic
249C2×#11745669C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253D8×D59—42no—
254C2×#11745664C2311yescharacteristic
255C2×#11745659C2311yescharacteristic
256C2×#11745659C2311yescharacteristic
257C22×C59⋊C8C2311yescharacteristic
258C2×C8×D59C2311yescharacteristic
259C2×C8×D59C2311yescharacteristic
260#14273726D411yescharacteristic
261#14273725—21no—
262#14273724C2311yescharacteristic
263#14273723—21no—
264#14273723—21no—
265#14273723—21no—
266#14273723—21no—
267#14273723—21no—
268#14273723—21no—
269#14273723—21no—
270#14273723—21no—
271#14273723—21no—
272#14273723D411yescharacteristic
273#14273723C2311yescharacteristic
274#14273723C2311yescharacteristic
275#14273722—21no—
276#14273722—21no—
277#14273722—21no—
278#14273721—21no—
279#14273720—21no—
280#14273720—21no—
281#14273719C2311yescharacteristic
282#14273718—21no—
283#14273718C2311yescharacteristic
284#14273717—21no—
285#14273716—21no—
286#14273716—21no—
287#14273716C2311yescharacteristic
288#14273713—21no—
289#14273713—21no—
290#14273713—21no—
291#14273713D411yescharacteristic
292#14273713D411yescharacteristic
293#14273712—21no—
294#14273712—21no—
295#14273711—21no—
296#14273710—21no—
297#14273710—21no—
298#14273710—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709—21no—
302#14273708—21no—
303#14273706—21no—
304#14273705—21no—
305#14273703—21no—
306#14273703C2311yescharacteristic
307#14273703C2311yescharacteristic
308#14273703C2311yescharacteristic
309#14273703C2311yescharacteristic
310#14273703C2311yescharacteristic
311#14273702—21no—
312#14273702D411yescharacteristic
313#14273702C2311yescharacteristic
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273701—21no—
317#14273701—21no—
318#14273701—21no—
319#14273701C2311yescharacteristic
320#14273701C2311yescharacteristic
321#14273701C2311yescharacteristic
322#14273701C2311yescharacteristic
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273700—21no—
330#14273700D411yescharacteristic
331#14273700D411yescharacteristic
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699—21no—
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273698—21no—
343#14273698D411yescharacteristic
344#14273698C2311yescharacteristic
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273698C2311yescharacteristic
348#14273697—21no—
349#14273697—21no—
350#14273697—21no—
351#14273697—21no—
352#14273697—21no—
353#14273697—21no—
354#14273696—21no—
355#14273696—21no—
356#14273695—21no—
357#14273695—21no—
358#14273695—21no—
359#14273695—21no—
360#14273695—21no—
361#14273695—21no—
362Q8×Dic59C2311yescharacteristic
363C4×Dic118C2311yescharacteristic
364#14273692C2311yescharacteristic
365C4×D236—21no—
366C4×D236C2311yescharacteristic
367C4×D236C2311yescharacteristic
368D4×Dic59—21no—
369D4×Dic59C2311yescharacteristic
370D4×Dic59C2311yescharacteristic
371#14273689—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376(C22⋊D59)⋊C4—21no—
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#14273686C2311yescharacteristic
383#14273685C2311yescharacteristic
384#14273685C2311yescharacteristic
385#14273684—21no—
386#14273684—21no—
387#14273683—21no—
388#14273683—21no—
389#14273683—21no—
390C2×C4⋊Dic59C2311yescharacteristic
391C4⋊C4×D59C2311yescharacteristic
392C2×(C2×D59)⋊C4—21no—
393C22⋊C4×D59—21no—
394C2×C4×Dic59—21no—
395C42×D59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
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
444#14273637C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C22×Q8×C59C2311yescharacteristic
447C22×D4×C59—21no—
448C22×D4×C59C2311yescharacteristic
449C22×D4×C59C2311yescharacteristic
450AGL(1,ℤ/8)×C59—42no—
451C2×SD16×C59—42no—
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×SD16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×D8×C59C2311yescharacteristic
461C2×M16×C59C2311yescharacteristic
462C22×C8×C59C2311yescharacteristic
463#127×C59C2311yescharacteristic
464#124×C59—21no—
465#124×C59C2311yescharacteristic
466C22⋊Q8×C59—21no—
467C22⋊Q8×C59C2311yescharacteristic
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic
473#120×C59—21no—
474#120×C59—21no—
475C4×Q8×C59C2311yescharacteristic
476C4×D4×C59—21no—
477C4×D4×C59C2311yescharacteristic
478C4×D4×C59C2311yescharacteristic
479#107×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
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×D4×C59—22no—
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—21no—
512C2×D4×C59—21no—
513C2×D4×C59—21no—
514C2×D4×C59—41no—
515C2×D4×C59—41no—
516C2×D4×C59—82no—
517C2×D4×C59C2×D411yescharacteristic
518C2×D4×C59C2411yescharacteristic
519C2×D4×C59C2411yescharacteristic
520C2×D4×C59C2411yescharacteristic
521C2×D4×C59C2411yescharacteristic
522C22×C4×C59—21no—
523C22×C4×C59—21no—
524C22×C4×C59—21no—
525C22×C4×C59C2411yescharacteristic
526C22×C4×C59C2411yescharacteristic
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—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—44no—
550C2×C22⋊D59—44no—
551C2×C22⋊D59—44no—
552C2×C22⋊D59—44no—
553C2×C22⋊D59—82no—
554C2×C22⋊D59—82no—
555C2×C22⋊D59C2×D411yescharacteristic
556C2×C22⋊D59C2×D411yescharacteristic
557C2×C22⋊D59C2×D411yescharacteristic
558C2×C22⋊D59C2×D411yescharacteristic
559C2×C22⋊D59C2×D411yescharacteristic
560C2×C22⋊D59C2×D411yescharacteristic
561C22×Dic59—21no—
562C22×Dic59—21no—
563C22×Dic59—21no—
564C22×Dic59—21no—
565C22×Dic59—21no—
566C22×Dic59—21no—
567#11745689—41no—
568#11745689—41no—
569#11745687—22no—
570#11745687—22no—
571#11745687—22no—
572#11745687—22no—
573#11745687—41no—
574#11745687—41no—
575#11745687—44no—
576#11745687—44no—
577D4×D59—22no—
578D4×D59—22no—
579D4×D59—41no—
580D4×D59—41no—
581D4×D59—41no—
582D4×D59—41no—
583D4×D59—41no—
584D4×D59—41no—
585D4×D59—41no—
586D4×D59—41no—
587D4×D59—44no—
588D4×D59—44no—
589D4×D59—82no—
590D4×D59—82no—
591#11745685—22no—
592#11745685—22no—
593#11745685—41no—
594#11745685—41no—
595#11745685—41no—
596#11745685—41no—
597#11745685—41no—
598#11745685—41no—
599C2×D236—21no—
600C2×D236—21no—
601C2×D236—21no—
602C2×D236—21no—
603C2×D236—21no—
604C2×D236—21no—
605C2×D236—82no—
606C2×D236C2×D411yescharacteristic
607C2×D236C2×D411yescharacteristic
608C2×D236C2×D411yescharacteristic
609C2×D236C2411yescharacteristic
610C2×D236C2411yescharacteristic
611C2×D236C2411yescharacteristic
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59—21no—
615C2×C4×D59—21no—
616C2×C4×D59—21no—
617C2×C4×D59C2×D411yescharacteristic
618C2×C4×D59C2×D411yescharacteristic
619C2×C4×D59C2411yescharacteristic
620C2×C4×D59C2411yescharacteristic
621C2×C4×D59C2411yescharacteristic
622C2×Dic118C2×D411yescharacteristic
623C2×Dic118C2×D411yescharacteristic
624C2×Dic118C2411yescharacteristic
625SD16×C59—22no—
626SD16×C59—22no—
627SD16×C59—41no—
628SD16×C59—41no—
629SD16×C59—41no—
630SD16×C59—41no—
631D8×C59—22no—
632D8×C59—41no—
633D8×C59—41no—
634M16×C59—41no—
635C2×C8×C59—41no—
636C2×C8×C59C2411yescharacteristic
637C2×C8×C59C2411yescharacteristic
638C2×C8×C59C2411yescharacteristic
639C2×C8×C59C2411yescharacteristic
640C4⋊C4×C59—21no—
641C4⋊C4×C59—21no—
642C4⋊C4×C59C2×D411yescharacteristic
643C4⋊C4×C59C2411yescharacteristic
644C4⋊C4×C59C2411yescharacteristic
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C22⋊C4×C59—21no—
652C22⋊C4×C59C2×D411yescharacteristic
653C22⋊C4×C59C2×D411yescharacteristic
654C42×C59—21no—
655C42×C59C2411yescharacteristic
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59—21no—
663C22⋊Dic59C2×D411yescharacteristic
664C22⋊Dic59C2×D411yescharacteristic
665#11745672—22no—
666#11745672—22no—
667#11745671—41no—
668#11745671—41no—
669#11745671—41no—
670#11745671—41no—
671#11745670—22no—
672#11745669—22no—
673#11745669—41no—
674#11745669—41no—
675#11745669—41no—
676#11745669—41no—
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)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697(C2×D59)⋊C4C2×D411yescharacteristic
698C4⋊Dic59—21no—
699C4⋊Dic59—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59C2×D411yescharacteristic
702C4⋊Dic59C2411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704C4⋊Dic59C2411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4C2×D411yescharacteristic
718Dic59⋊C4C2×D411yescharacteristic
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59—21no—
725C4×Dic59C2×D411yescharacteristic
726C4×Dic59C2×D411yescharacteristic
727C4×Dic59C2411yescharacteristic
728#11745664—41no—
729C2×C59⋊C8—41no—
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734D472—41no—
735D472—41no—
736#11745660—22no—
737#11745659—41no—
738#11745659—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—21no—
745C23×C59—42no—
746C23×C59—42no—
747C23×C59—81no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59—81no—
751C23×C59C22×D411yescharacteristic
752C23×C59C22×D411yescharacteristic
753C22×D59—21no—
754C22×D59—21no—
755C22×D59—21no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59—81no—
768C22×D59—81no—
769C22×D59—81no—
770C22×D59—81no—
771C22×D59C22×D411yescharacteristic
772C22×D59C22×D411yescharacteristic
773C22×D59C22×D411yescharacteristic
774Q8×C59—21no—
775Q8×C59—21no—
776Q8×C59—21no—
777Q8×C59—21no—
778Q8×C59—81no—
779D4×C59—21no—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—21no—
783D4×C59—21no—
784D4×C59—21no—
785D4×C59—21no—
786D4×C59—41no—
787D4×C59—42no—
788D4×C59—42no—
789D4×C59—42no—
790D4×C59—81no—
791D4×C59—81no—
792D4×C59—81no—
793D4×C59—81no—
794D4×C59—81no—
795D4×C59H(5,𝔽2)12yes—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—42no—
805C2×C4×C59—81no—
806C2×C4×C59—81no—
807C2×C4×C59C22×D411yescharacteristic
808C2×C4×C59C22×D411yescharacteristic
809C2×C4×C59C22×D411yescharacteristic
810C2×C4×C59C22×D411yescharacteristic
811C2×C4×C59C2511yescharacteristic
812C22⋊D59—24no—
813C22⋊D59—41no—
814C22⋊D59—41no—
815C22⋊D59—41no—
816C22⋊D59—41no—
817C22⋊D59—41no—
818C22⋊D59—41no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—42no—
823C22⋊D59—42no—
824C22⋊D59—42no—
825C22⋊D59—42no—
826C22⋊D59—42no—
827C22⋊D59—42no—
828C22⋊D59—42no—
829C22⋊D59—81no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C22⋊D59—81no—
834C22⋊D59—81no—
835C22⋊D59—81no—
836C22⋊D59—81no—
837C22⋊D59—81no—
838C22⋊D59—81no—
839C22⋊D59—81no—
840C2×Dic59—24no—
841C2×Dic59—21no—
842C2×Dic59—21no—
843C2×Dic59—21no—
844C2×Dic59—21no—
845C2×Dic59—21no—
846C2×Dic59—42no—
847C2×Dic59—42no—
848C2×Dic59—42no—
849C2×Dic59—81no—
850C2×Dic59—81no—
851C2×Dic59C22×D411yescharacteristic
852C2×Dic59C22×D411yescharacteristic
853C2×Dic59C22×D411yescharacteristic
854C2×Dic59C22×D411yescharacteristic
855C2×Dic59C22×D411yescharacteristic
856D236—21no—
857D236—21no—
858D236—21no—
859D236—21no—
860D236—21no—
861D236—21no—
862D236—41no—
863D236—41no—
864D236—41no—
865D236—42no—
866D236—81no—
867D236—81no—
868D236—81no—
869D236—81no—
870D236—81no—
871C4×D59—21no—
872C4×D59—21no—
873C4×D59—21no—
874C4×D59—21no—
875C4×D59—21no—
876C4×D59—21no—
877C4×D59—41no—
878C4×D59—41no—
879C4×D59—42no—
880C4×D59—42no—
881C4×D59—81no—
882C4×D59—81no—
883C4×D59—81no—
884Dic118—21no—
885Dic118—41no—
886Dic118—41no—
887Dic118H(5,𝔽2)12yes—
888C8×C59—21no—
889C8×C59—21no—
890C8×C59—21no—
891C8×C59—21no—
892C59⋊C8—21no—
893C59⋊C8—21no—
894C59⋊C8—21no—
895C59⋊C8—21no—
896#61675—591nomaximal, Sylow
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—21no—
901C22×C59—22no—
902C22×C59—21no—
903C22×C59—21no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—41no—
910C22×C59—41no—
911C22×C59—41no—
912C22×C59—41no—
913C22×C59—41no—
914C22×C59—41no—
915C22×C59—162no—
916C22×C59—162no—
917C22×C59C23×D411yescharacteristic
918C2×D59—21no—
919C2×D59—21no—
920C2×D59—21no—
921C2×D59—21no—
922C2×D59—21no—
923C2×D59—21no—
924C2×D59—21no—
925C2×D59—21no—
926C2×D59—21no—
927C2×D59—41no—
928C2×D59—41no—
929C2×D59—41no—
930C2×D59—41no—
931C2×D59—41no—
932C2×D59—41no—
933C2×D59—41no—
934C2×D59—41no—
935C2×D59—41no—
936C2×D59—162no—
937C2×D59—162no—
938C2×D59—162no—
939C2×D59—162no—
940C2×D59—162no—
941C4×C59—21no—
942C4×C59—21no—
943C4×C59—21no—
944C4×C59—21no—
945C4×C59—41no—
946C4×C59—41no—
947C4×C59—41no—
948C4×C59—41no—
949C4×C59C2×H(5,𝔽2)11yescharacteristic
950C4×C59C2×H(5,𝔽2)11yescharacteristic
951Dic59—21no—
952Dic59—21no—
953Dic59—22no—
954Dic59—21no—
955Dic59—21no—
956Dic59—21no—
957Dic59—41no—
958Dic59—41no—
959Dic59—41no—
960Dic59—41no—
961#3551—591no—
962#3498—591no—
963#3318—591no—
964#3318—591no—
965#3317—591no—
966#3317—591no—
967#3310—591no—
968#3310—591no—
969#3309—591no—
970#3309—591no—
971#3271—591no—
972#3271—591no—
973#3268—591no—
974#3268—591no—
975#3265—591no—
976#3265D5911yescharacteristic, complemented
977#3264—591no—
978#3264—591no—
979#3217—591no—
980#3217—591no—
981#3200—591no—
982#3199—591no—
983#3198—591no—
984#3198—591no—
985#3111—591no—
986#3111—591no—
987#3012—591no—
988#3012—591no—
989#3009—591no—
990#3008—591no—
991#2980—591no—
992C2×C59—42no—
993C2×C59—41no—
994C2×C59—41no—
995C2×C59—81no—
996C2×C59—81no—
997C2×C59—81no—
998C2×C59#348411yescharacteristic
999C2×C59#358511yescharacteristic
1000C2×C59#358511yescharacteristic
1001D59—41no—
1002D59—41no—
1003D59—41no—
1004D59—81no—
1005D59—81no—
1006D59—81no—
1007C2×H(5,𝔽2)—591no—
1008C2×H(5,𝔽2)—591no—
1009C2×#137—591no—
1010C2×AGL(1,ℤ/8)—591no—
1011C2×AGL(1,ℤ/8)—591no—
1012C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1013C2×#135—591no—
1014C2×#135—591no—
1015C22×SD16C2×D5911yescharacteristic, complemented
1016C22×D8—591no—
1017#563—1181no—
1018#560—1181no—
1019#555—1181no—
1020#553—591no—
1021#553—591no—
1022#552—591no—
1023#552—591no—
1024#551—1181no—
1025#550—591no—
1026#550—591no—
1027#550—591no—
1028#550—591no—
1029#548—591no—
1030#548C2×D5911yescharacteristic, complemented
1031#546—591no—
1032#546—591no—
1033D42—591no—
1034D42—591no—
1035D42—591no—
1036D42—1181no—
1037D42—1181no—
1038D42—1181no—
1039D42—1181no—
1040D42C2×D5911yescharacteristic, complemented
1041#540—1181no—
1042#540—1181no—
1043#538—1181no—
1044#538—1181no—
1045#537—591no—
1046#537—591no—
1047#536—591no—
1048#535—591no—
1049#535—591no—
1050#535—591no—
1051#535—1181no—
1052#535—1181no—
1053#532—591no—
1054#532—1181no—
1055C2×#127—591no—
1056C2×#127—1181no—
1057#529—591no—
1058#529—591no—
1059C4×#41—591no—
1060#496—591no—
1061#496—591no—
1062#496—591no—
1063#496C2×D5911yescharacteristic, complemented
1064#490—591no—
1065#490—591no—
1066#490—591no—
1067#490—591no—
1068#485—591no—
1069#485—591no—
1070#482—591no—
1071#482—591no—
1072#482—591no—
1073#482—591no—
1074#482—591no—
1075#482—591no—
1076#481—591no—
1077#481—591no—
1078#480—591no—
1079#480—591no—
1080#479—591no—
1081#479—591no—
1082#478—591no—
1083#478—591no—
1084#469—591no—
1085#469—591no—
1086#469—591no—
1087#469—591no—
1088#468—591no—
1089#468—591no—
1090#468—591no—
1091#468C2×D5911yescharacteristic, complemented
1092#466—591no—
1093#466—591no—
1094#466—591no—
1095#466C2×D5911yescharacteristic, complemented
1096#465—591no—
1097#465—591no—
1098#465—591no—
1099#465—591no—
1100#464—591no—
1101#464—591no—
1102#463—591no—
1103#463C2×D5911yescharacteristic, complemented
1104#460—591no—
1105#460—591no—
1106#460—591no—
1107#460C2×D5911yescharacteristic, complemented
1108#459—591no—
1109#459—591no—
1110#459—591no—
1111#459—591no—
1112#452—591no—
1113#452—591no—
1114#452—591no—
1115#452—591no—
1116#452—591no—
1117#452—591no—
1118#450—591no—
1119#450—591no—
1120#450—591no—
1121#450—591no—
1122#450—591no—
1123#450—591no—
1124#450—591no—
1125#450C2×D5911yescharacteristic, complemented
1126#449—591no—
1127#449—591no—
1128#449—591no—
1129#449—591no—
1130#449—591no—
1131#449—591no—
1132#449—591no—
1133#449—591no—
1134#449—591no—
1135#449C2×D5911yescharacteristic, complemented
1136#448—591no—
1137#448C2×D5911yescharacteristic, complemented
1138#447—591no—
1139#447—591no—
1140#447—591no—
1141#447—591no—
1142#447—591no—
1143#447—591no—
1144#447—591no—
1145#447—591no—
1146#447—591no—
1147#447C2×D5911yescharacteristic, complemented
1148#442—591no—
1149#442—591no—
1150#441—591no—
1151#441—591no—
1152#440—591no—
1153#440—591no—
1154#440—591no—
1155#440C2×D5911yescharacteristic, complemented
1156#435—591no—
1157#435—591no—
1158#435—591no—
1159#435—591no—
1160#435—591no—
1161#435—591no—
1162#435—591no—
1163#435C2×D5911yescharacteristic, complemented
1164#432—591no—
1165#432—591no—
1166#418—591no—
1167#418—591no—
1168#417—591no—
1169#417—591no—
1170#416—591no—
1171#416—591no—
1172C2×#102—591no—
1173C2×#102—591no—
1174#408—591no—
1175#408—591no—
1176#408—591no—
1177#408—591no—
1178C59#6167511yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—2362no—
1180H(5,𝔽2)—2362no—
1181H(5,𝔽2)—2362no—
1182H(5,𝔽2)—2362no—
1183C2×#41—591no—
1184C2×#41—591no—
1185C2×#41—591no—
1186C2×#41—591no—
1187C2×#41—591no—
1188C2×#41—591no—
1189C2×#41—591no—
1190C2×#41—591no—
1191C2×#41—1181no—
1192C2×#41—1181no—
1193C2×#41C22×D5911yescharacteristic
1194C22×Q8C22×D5911yescharacteristic
1195C22×D4—21no—
1196C22×D4—591no—
1197C22×D4—591no—
1198C22×D4—591no—
1199C22×D4—591no—
1200C22×D4—591no—
1201C22×D4—1181no—
1202C22×D4—1181no—
1203C22×D4—1181no—
1204C22×D4—1181no—
1205C22×D4—1181no—
1206C22×D4—1181no—
1207C22×D4—1181no—
1208C22×D4—1181no—
1209C22×D4—1181no—
1210C22×D4—1181no—
1211C22×D4—1181no—
1212C22×D4C22×D5911yescharacteristic
1213C22×D4C22×D5911yescharacteristic
1214#137—2362no—
1215AGL(1,ℤ/8)—42no—
1216AGL(1,ℤ/8)—2362no—
1217AGL(1,ℤ/8)—2362no—
1218#135—2362no—
1219#135—2362no—
1220C2×Q16—591no—
1221C2×Q16—591no—
1222C2×SD16—42no—
1223C2×SD16—591no—
1224C2×SD16—591no—
1225C2×SD16—591no—
1226C2×SD16—591no—
1227C2×SD16—591no—
1228C2×SD16—591no—
1229C2×SD16C22×D5911yescharacteristic
1230C2×SD16C22×D5911yescharacteristic
1231C2×SD16C22×D5911yescharacteristic
1232C2×SD16C22×D5911yescharacteristic
1233C2×SD16C22×D5911yescharacteristic
1234C2×SD16C22×D5911yescharacteristic
1235C2×D8—591no—
1236C2×D8—591no—
1237C2×D8—591no—
1238C2×D8—591no—
1239C2×D8—591no—
1240C2×D8—591no—
1241C2×D8—591no—
1242C2×D8—2362no—
1243C2×D8C22×D5911yescharacteristic
1244C2×D8C22×D5911yescharacteristic
1245C2×D8C22×D5911yescharacteristic
1246C2×M16—591no—
1247C2×M16—591no—
1248C2×M16—591no—
1249C2×M16C22×D5911yescharacteristic
1250C22×C8—591no—
1251C22×C8—591no—
1252C22×C8—591no—
1253C22×C8C22×D5911yescharacteristic
1254C4⋊Q8—591no—
1255C4⋊Q8—1181no—
1256#127—591no—
1257#127—591no—
1258#127—591no—
1259#127—591no—
1260#127—1181no—
1261#127—1181no—
1262#127—1181no—
1263#127—1181no—
1264#127—1181no—
1265#127—1181no—
1266#127—1181no—
1267#127—1181no—
1268#127—1181no—
1269#127C22×D5911yescharacteristic
1270#126—1181no—
1271#126—1181no—
1272#126—1181no—
1273#126—1181no—
1274#126—1181no—
1275#126—1181no—
1276#125—591no—
1277#125—591no—
1278#125—1181no—
1279#125—1181no—
1280#124—21no—
1281#124—591no—
1282#124—591no—
1283#124—591no—
1284#124—1181no—
1285#124—1181no—
1286#124—1181no—
1287#124—1181no—
1288#124—1181no—
1289#124C22×D5911yescharacteristic
1290#123—1181no—
1291#123—1181no—
1292#123—1181no—
1293#123—1181no—
1294#123—1181no—
1295#123—1181no—
1296#123—1181no—
1297#123—1181no—
1298#123—1181no—
1299#123—1181no—
1300C22⋊Q8—21no—
1301C22⋊Q8—591no—
1302C22⋊Q8—591no—
1303C22⋊Q8—591no—
1304C22⋊Q8—591no—
1305C22⋊Q8—591no—
1306C22⋊Q8—1181no—
1307C22⋊Q8—1181no—
1308C22⋊Q8—1181no—
1309C22⋊Q8C22×D5911yescharacteristic
1310#121—21no—
1311#121—21no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—591no—
1319#121—591no—
1320#121—591no—
1321#121—591no—
1322#121—591no—
1323#121—591no—
1324#121—591no—
1325#121—591no—
1326#121—591no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121C22×D5911yescharacteristic
1350#121C22×D5911yescharacteristic
1351#121C22×D5911yescharacteristic
1352#120—21no—
1353#120—21no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359#120—1181no—
1360#120—1181no—
1361#120—1181no—
1362#120—1181no—
1363#120—1181no—
1364#120—1181no—
1365#120—1181no—
1366#120—1181no—
1367#120—1181no—
1368C4×Q8—591no—
1369C4×Q8—591no—
1370C4×Q8—591no—
1371C4×Q8C22×D5911yescharacteristic
1372C4×D4—21no—
1373C4×D4—591no—
1374C4×D4—591no—
1375C4×D4—591no—
1376C4×D4—591no—
1377C4×D4—591no—
1378C4×D4—591no—
1379C4×D4—1181no—
1380C4×D4—1181no—
1381C4×D4—1181no—
1382C4×D4—1181no—
1383C4×D4—1181no—
1384C4×D4—1181no—
1385C4×D4—1181no—
1386C4×D4—1181no—
1387C4×D4—1181no—
1388C4×D4—1181no—
1389C4×D4—1181no—
1390C4×D4C22×D5911yescharacteristic
1391C4×D4C22×D5911yescharacteristic
1392#117—591no—
1393#117—591no—
1394#117—591no—
1395#117—1181no—
1396#117—1181no—
1397#117—1181no—
1398#117—1181no—
1399#117—1181no—
1400C2×C4⋊C4—591no—
1401C2×C4⋊C4—591no—
1402C2×C22⋊C4—1181no—
1403C2×C22⋊C4—1181no—
1404C2×C42—591no—
1405C2×C42—1181no—
1406#107—591no—
1407#107—591no—
1408#107—591no—
1409#107C22×D5911yescharacteristic
1410#106—591no—
1411#106—591no—
1412#106—591no—
1413#106—591no—
1414C4⋊C8—591no—
1415C4⋊C8—591no—
1416C4⋊C8—591no—
1417C4⋊C8C22×D5911yescharacteristic
1418#103—591no—
1419#103—591no—
1420#103—591no—
1421#103—591no—
1422#103—591no—
1423#103—591no—
1424#103C22×D5911yescharacteristic
1425#103C22×D5911yescharacteristic
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102—591no—
1438#102—591no—
1439#102—591no—
1440#102—591no—
1441#102—591no—
1442#102—591no—
1443#102—591no—
1444#102—591no—
1445#102—591no—
1446#102C22×D5911yescharacteristic
1447#102C22×D5911yescharacteristic
1448#102C22×D5911yescharacteristic
1449#102C22×D5911yescharacteristic
1450C22⋊C8—591no—
1451C22⋊C8—591no—
1452C22⋊C8—591no—
1453C22⋊C8—591no—
1454C22⋊C8—591no—
1455C22⋊C8—591no—
1456C22⋊C8—591no—
1457C22⋊C8—591no—
1458C22⋊C8—591no—
1459C22⋊C8—591no—
1460C22⋊C8C22×D5911yescharacteristic
1461C22⋊C8C22×D5911yescharacteristic
1462#97—591no—
1463#97—591no—
1464#97—591no—
1465#97C22×D5911yescharacteristic
1466C24—21no—
1467C24—21no—
1468C24—1181no—
1469C24—1181no—
1470C24—1181no—
1471C24—1181no—
1472C24—1181no—
1473#41—41no—
1474#41—41no—
1475#41—1182no—
1476#41—1182no—
1477#41—1182no—
1478#41—1182no—
1479#41—1182no—
1480#41—1182no—
1481#41—2361no—
1482#41—2361no—
1483#41—2361no—
1484#41—2361no—
1485#41—2361no—
1486#41—2361no—
1487#41—2361no—
1488#41—2361no—
1489#41—2361no—
1490#41—2361no—
1491#41—2364no—
1492#41—2364no—
1493C2×Q8—21no—
1494C2×Q8—41no—
1495C2×Q8—41no—
1496C2×Q8—591no—
1497C2×Q8—591no—
1498C2×Q8—591no—
1499C2×Q8C23×D5911yescharacteristic
1500C2×Q8C23×D5911yescharacteristic
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—82no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—591no—
1517C2×D4—591no—
1518C2×D4—591no—
1519C2×D4—591no—
1520C2×D4—591no—
1521C2×D4—591no—
1522C2×D4—591no—
1523C2×D4—591no—
1524C2×D4—591no—
1525C2×D4—591no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1182no—
1541C2×D4—1182no—
1542C2×D4—1181no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—1181no—
1550C2×D4—1181no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—1181no—
1554C2×D4—1181no—
1555C2×D4—1181no—
1556C2×D4—4722no—
1557C2×D4—4722no—
1558C2×D4—4722no—
1559C2×D4—4722no—
1560C2×D4—4722no—
1561C2×D4—2361no—
1562C2×D4—2361no—
1563C2×D4—2361no—
1564C2×D4—2361no—
1565C2×D4—2361no—
1566C2×D4—2361no—
1567C2×D4—2361no—
1568C2×D4—2361no—
1569C2×D4—2364no—
1570C2×D4—2364no—
1571C2×D4—2364no—
1572C2×D4—2364no—
1573C2×D4—2364no—
1574C2×D4—2364no—
1575C2×D4D4×D5911yescharacteristic
1576C2×D4C23×D5911yescharacteristic
1577C2×D4C23×D5911yescharacteristic
1578C2×D4C23×D5911yescharacteristic
1579C2×D4C23×D5911yescharacteristic
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—21no—
1583C22×C4—591no—
1584C22×C4—591no—
1585C22×C4—591no—
1586C22×C4—591no—
1587C22×C4—591no—
1588C22×C4—1181no—
1589C22×C4—1181no—
1590C22×C4—1181no—
1591C22×C4—1181no—
1592C22×C4—1181no—
1593C22×C4—1181no—
1594C22×C4—1181no—
1595C22×C4—1181no—
1596C22×C4—1181no—
1597C22×C4—1181no—
1598C22×C4—1181no—
1599C22×C4C23×D5911yescharacteristic
1600C22×C4C23×D5911yescharacteristic
1601Q16—1182no—
1602Q16—1182no—
1603SD16—22no—
1604SD16—22no—
1605SD16—41no—
1606SD16—41no—
1607SD16—41no—
1608SD16—41no—
1609SD16—1182no—
1610SD16—1182no—
1611SD16—2361no—
1612SD16—2361no—
1613SD16—2361no—
1614SD16—2361no—
1615D8—22no—
1616D8—41no—
1617D8—41no—
1618D8—1182no—
1619D8—2361no—
1620D8—2361no—
1621D8—2361no—
1622D8—2361no—
1623D8—2361no—
1624D8—2361no—
1625M16—41no—
1626M16—2361no—
1627M16—2361no—
1628M16—2361no—
1629C2×C8—41no—
1630C2×C8—591no—
1631C2×C8—591no—
1632C2×C8—591no—
1633C2×C8—591no—
1634C2×C8—2361no—
1635C2×C8—2361no—
1636C2×C8—2361no—
1637C2×C8C23×D5911yescharacteristic
1638C2×C8C23×D5911yescharacteristic
1639C2×C8C23×D5911yescharacteristic
1640C2×C8C23×D5911yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—591no—
1644C4⋊C4—591no—
1645C4⋊C4—591no—
1646C4⋊C4—591no—
1647C4⋊C4—591no—
1648C4⋊C4—591no—
1649C4⋊C4—591no—
1650C4⋊C4—1181no—
1651C4⋊C4—1181no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
1655C4⋊C4—1181no—
1656C4⋊C4—1181no—
1657C4⋊C4—1181no—
1658C4⋊C4—1181no—
1659C4⋊C4—1181no—
1660C4⋊C4—1181no—
1661C4⋊C4—1181no—
1662C4⋊C4—1181no—
1663C4⋊C4—1181no—
1664C4⋊C4D4×D5911yescharacteristic
1665C4⋊C4C23×D5911yescharacteristic
1666C4⋊C4C23×D5911yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—591no—
1675C22⋊C4—591no—
1676C22⋊C4—591no—
1677C22⋊C4—591no—
1678C22⋊C4—591no—
1679C22⋊C4—591no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
1701C22⋊C4—1181no—
1702C22⋊C4—1181no—
1703C22⋊C4—1181no—
1704C22⋊C4D4×D5911yescharacteristic
1705C22⋊C4D4×D5911yescharacteristic
1706C42—21no—
1707C42—591no—
1708C42—591no—
1709C42—591no—
1710C42—1181no—
1711C42—1181no—
1712C42—1181no—
1713C42—1181no—
1714C42—1181no—
1715C42—1181no—
1716C42C23×D5911yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—42no—
1722C23—42no—
1723C23—81no—
1724C23—81no—
1725C23—81no—
1726C23—81no—
1727C23—591no—
1728C23—591no—
1729C23—591no—
1730C23—1181no—
1731C23—1181no—
1732C23—1181no—
1733C23—4721no—
1734C23—4721no—
1735C23—4721no—
1736C23—4721no—
1737C23—4721no—
1738C23—4721no—
1739C23—4721no—
1740C23—4721no—
1741C23—4721no—
1742C23—4721no—
1743C23—4721no—
1744C23—2362no—
1745C23—2362no—
1746C23—2362no—
1747C23—2362no—
1748C23C2×D4×D5911yescharacteristic
1749C23C2×D4×D5911yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—81no—
1755Q8—592no—
1756Q8—1181no—
1757Q8—2361no—
1758Q8—2361no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—41no—
1767D4—42no—
1768D4—42no—
1769D4—42no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—1184no—
1776D4—1181no—
1777D4—1181no—
1778D4—1181no—
1779D4—1181no—
1780D4—1181no—
1781D4—1181no—
1782D4—4721no—
1783D4—4721no—
1784D4—4721no—
1785D4—4721no—
1786D4—4721no—
1787D4—4721no—
1788D4—4721no—
1789D4—4721no—
1790D4—4721no—
1791D4—4721no—
1792D4—4721no—
1793D4—4721no—
1794D4—4721no—
1795D4—4721no—
1796D4—4721no—
1797D4—4721no—
1798D4—2361no—
1799D4—2361no—
1800D4—2361no—
1801D4—2362no—
1802D4—2361no—
1803D4—2361no—
1804D4—2361no—
1805D4—2361no—
1806D4—2361no—
1807D4—2361no—
1808D4—2362no—
1809D4—2362no—
1810D4—2362no—
1811D4—2362no—
1812D4—2362no—
1813D4—2362no—
1814D4—2362no—
1815D4—2362no—
1816D4—2362no—
1817D4—2362no—
1818D4#1427377212yes—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—42no—
1828C2×C4—81no—
1829C2×C4—81no—
1830C2×C4—591no—
1831C2×C4—591no—
1832C2×C4—591no—
1833C2×C4—591no—
1834C2×C4—591no—
1835C2×C4—1184no—
1836C2×C4—1181no—
1837C2×C4—1181no—
1838C2×C4—1181no—
1839C2×C4—1181no—
1840C2×C4—1181no—
1841C2×C4—1181no—
1842C2×C4—1181no—
1843C2×C4—1181no—
1844C2×C4—1181no—
1845C2×C4—1181no—
1846C2×C4—1181no—
1847C2×C4—4721no—
1848C2×C4—4721no—
1849C2×C4—4721no—
1850C2×C4—4721no—
1851C2×C4—4721no—
1852C2×C4—2361no—
1853C2×C4—2361no—
1854C2×C4—2362no—
1855C2×C4—2362no—
1856C2×C4—2362no—
1857C2×C4—2362no—
1858C2×C4—2362no—
1859C2×C4C2×D4×D5911yescharacteristic
1860C2×C4C2×D4×D5911yescharacteristic
1861C2×C4C2×D4×D5911yescharacteristic
1862C2×C4C2×D4×D5911yescharacteristic
1863C2×C4C24×D5911yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1181no—
1869C8—1181no—
1870C8—1181no—
1871C8—1181no—
1872C22—21no—
1873C22—21no—
1874C22—22no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—162no—
1891C22—162no—
1892C22—1181no—
1893C22—1181no—
1894C22—1181no—
1895C22—1181no—
1896C22—1181no—
1897C22—1181no—
1898C22—1181no—
1899C22—1181no—
1900C22—1181no—
1901C22—9442no—
1902C22—9442no—
1903C22—9442no—
1904C22—9442no—
1905C22—9442no—
1906C22—2361no—
1907C22—2361no—
1908C22—2361no—
1909C22—2361no—
1910C22—2361no—
1911C22—2361no—
1912C22—2361no—
1913C22—2361no—
1914C22—2361no—
1915C22C22×D4×D5911yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—1181no—
1925C4—1181no—
1926C4—1181no—
1927C4—1182no—
1928C4—1181no—
1929C4—1181no—
1930C4—2361no—
1931C4—2361no—
1932C4—2361no—
1933C4—2361no—
1934C4H(5,𝔽2)×D5911yescharacteristic
1935C4C2×#1427377211yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—42no—
1939C2—81no—
1940C2—81no—
1941C2—81no—
1942C2—4721no—
1943C2—4721no—
1944C2—4721no—
1945C2—2361no—
1946C2—2361no—
1947C2—2361no—
1948C2#2143772411yescharacteristic
1949C2#2143887211yescharacteristic
1950C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3265C2
socleC22×C59C23×D4
hypercenter#3265D59
hypocenterC59#61675
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #21438512C2semidirect
2. #21437868C2semidirect
3. #21436237C2semidirect
4. #21436230C2semidirect
5. #21436229C2semidirect
6. #21436217C2semidirect
7. #21436122C2semidirect
8. #21436121C2semidirect
9. #21436108C2semidirect
10. #21436104C2semidirect
11. #21435684C2semidirect
12. #21435682C2semidirect
13. #21435640C2semidirect
14. #21435635C2semidirect
15. #21435591C2semidirect
16. #21435582C2semidirect
17. #21435570C2semidirect
18. #21435118C2semidirect
19. #21435110C2semidirect
20. #21434966C2semidirect
21. #21434956C2semidirect
22. #21434949C2semidirect
23. #21434945C2semidirect
24. #21434209C2semidirect
25. #21434202C2semidirect
26. #21433401C2semidirect
27. #21433399C2semidirect
28. #21433369C2semidirect
29. #21433359C2semidirect
30. #21433164C2semidirect
31. C59×#3265C2semidirect
33. C2×#14273772C22semidirect
34. C2×#14273758C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273748C22semidirect
38. C2×#14273747C22semidirect
39. C2×D8×D59C22semidirect
43. #16838099C22semidirect
44. #16838098C22semidirect
45. #16838094C22semidirect
46. #16838093C22semidirect
48. #16838073C22semidirect
51. #16838070C22semidirect
52. #16838063C22semidirect
53. #16838045C22semidirect
54. #16838040C22semidirect
59. D4×C22⋊D59C22semidirect
66. #16837982C22semidirect
67. #16837980C22semidirect
68. #16837976C22semidirect
70. #16837968C22semidirect
71. #16837968C22semidirect
77. #127×D59C22semidirect
78. #16837939C22semidirect
79. #16837931C22semidirect
80. C4×#11745687C22semidirect
81. #16837792C22semidirect
82. #16837788C22semidirect
83. #16837788C22semidirect
84. #16837767C22semidirect
85. #16837766C22semidirect
86. #16837765C22semidirect
87. #16837765C22semidirect
88. #16837742C22semidirect
89. #16837741C22semidirect
90. #16837729C22semidirect
91. #16837729C22semidirect
92. #16837727C22semidirect
93. #16837724C22semidirect
94. #16837724C22semidirect
95. #16837723C22semidirect
96. #16837719C22semidirect
97. #16837718C22semidirect
98. #16837717C22semidirect
99. #16837716C22semidirect
100. #16837710C22semidirect
101. #16837708C22semidirect
102. #16837702C22semidirect
103. #16837700C22semidirect
104. #16837655C22semidirect
105. #16837654C22semidirect
106. #16837653C22semidirect
107. #16837653C22semidirect
108. #16837651C22semidirect
109. #16837645C22semidirect
110. #16837645C22semidirect
111. #16837638C22semidirect
112. #16837636C22semidirect
113. #16837635C22semidirect
114. #16837634C22semidirect
115. #16837634C22semidirect
116. #16837633C22semidirect
117. #16837628C22semidirect
118. #16837627C22semidirect
119. #16837621C22semidirect
120. #16837619C22semidirect
121. #16837602C22semidirect
122. #16837600C22semidirect
123. #16837600C22semidirect
124. #16837598C22semidirect
125. #16837595C22semidirect
126. #16837595C22semidirect
127. #16837594C22semidirect
128. #16837562C22semidirect
129. #16837561C22semidirect
130. #16837561C22semidirect
131. #16837561C22semidirect
132. #16837561C22semidirect
133. #16837561C22semidirect
134. #16837551C22semidirect
135. #16837551C22semidirect
136. #16837551C22semidirect
137. #16837551C22semidirect
138. #16837551C22semidirect
139. #16837551C22semidirect
140. #16837551C22semidirect
141. #16837550C22semidirect
142. #16837549C22semidirect
143. #16837549C22semidirect
145. #16837547C22semidirect
146. #16837546C22semidirect
147. #16837545C22semidirect
149. #16837544C22semidirect
150. #16837541C22semidirect
151. #16837537C22semidirect
152. #16837537C22semidirect
153. #16837537C22semidirect
154. #16837536C22semidirect
155. #16837536C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837514C22semidirect
161. #16837512C22semidirect
162. #16837507C22semidirect
163. #16837506C22semidirect
164. #16837504C22semidirect
165. #16837503C22semidirect
166. #16837499C22semidirect
167. #16837476C22semidirect
168. #16837475C22semidirect
169. #16837474C22semidirect
170. #16837473C22semidirect
171. #16837472C22semidirect
172. #16837471C22semidirect
173. #16837470C22semidirect
174. #16837458C22semidirect
175. #16837457C22semidirect
176. #16837407C22semidirect
177. #16837405C22semidirect
178. #16837404C22semidirect
179. #16837400C22semidirect
180. #16837399C22semidirect
181. #16837395C22semidirect
182. C2×#14273648C22semidirect
183. #102×D59C22semidirect
184. #16837370C22semidirect
185. #16837368C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C22×SD16×C59C22semidirect
190. C59×#548C22semidirect
191. D42×C59C22semidirect
192. C59×#496C22semidirect
193. C59×#468C22semidirect
194. C59×#466C22semidirect
195. C59×#463C22semidirect
196. C59×#460C22semidirect
197. C59×#450C22semidirect
198. C59×#449C22semidirect
199. C59×#448C22semidirect
200. C59×#447C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
976. #3265D59semidirect
1012. C2×AGL(1,ℤ/8)C2×D59semidirect
1015. C22×SD16C2×D59semidirect
1030. #548C2×D59semidirect
1040. D42C2×D59semidirect
1063. #496C2×D59semidirect
1091. #468C2×D59semidirect
1095. #466C2×D59semidirect
1103. #463C2×D59semidirect
1107. #460C2×D59semidirect
1125. #450C2×D59semidirect
1135. #449C2×D59semidirect
1137. #448C2×D59semidirect
1147. #447C2×D59semidirect
1155. #440C2×D59semidirect
1163. #435C2×D59semidirect
1178. C59#61675semidirect

Maximal subgroups

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

subgroupindex
#214385122
#214378682
#214362372
#214362302
#214362292
#214362172
#214361222
#214361212
#214361082
#214361042
#214356842
#214356822
#214356402
#214356352
#214355912
#214355822
#214355702
#214351182
#214351102
#214349662
#214349562
#214349492
#214349452
#214342092
#214342022
#214334012
#214333992
#214333692
#214333592
#214331642
C59×#32652
#6167559