Finite Group Databasebeta

← #29475721

Subgroups — #29475721

Order 15104.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438525C211yesmaximal, characteristic, complemented
2#21437859C211yesmaximal, characteristic, complemented
3#21436318C211yesmaximal, characteristic, complemented
4#21436295C211yesmaximal, characteristic, complemented
5#21436240C211yesmaximal, characteristic, complemented
6#21436198C211yesmaximal, characteristic, complemented
7#21436112C211yesmaximal, characteristic, complemented
8#21436070C211yesmaximal, characteristic, complemented
9#21435949C211yesmaximal, characteristic, complemented
10#21435926C211yesmaximal, characteristic, complemented
11#21435796C211yesmaximal, characteristic, complemented
12#21435778C211yesmaximal, characteristic, complemented
13#21435730C211yesmaximal, characteristic, complemented
14#21435704C211yesmaximal, characteristic, complemented
15#21435654C211yesmaximal, characteristic, complemented
16#21435628C211yesmaximal, characteristic, complemented
17#21435584C211yesmaximal, characteristic, complemented
18#21435573C211yesmaximal, characteristic, complemented
19#21435137C211yesmaximal, characteristic, complemented
20#21435075C211yesmaximal, characteristic, complemented
21#21435006C211yesmaximal, characteristic, complemented
22#21435000C211yesmaximal, characteristic, complemented
23#21434942C211yesmaximal, characteristic, complemented
24#21434237C211yesmaximal, characteristic, complemented
25#21434146C211yesmaximal, characteristic, complemented
26#21433404C211yesmaximal, characteristic, complemented
27#21433404C211yesmaximal, characteristic, complemented
28#21433371C211yesmaximal, characteristic, complemented
29#21433366C211yesmaximal, characteristic, complemented
30#21433169C211yesmaximal, characteristic, complemented
31C59×#3201C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#14273773C2211yescharacteristic, complemented
34C2×#14273758C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273754C2211yescharacteristic, complemented
38C2×#14273750C2211yescharacteristic, complemented
39C2×#14273750C2211yescharacteristic, complemented
40C22×#11745671C2211yescharacteristic, complemented
41C22×D472C2211yescharacteristic, complemented
42#16838151—21no—
43#16838142—21no—
44#16838118—21no—
45#16838096C2211yescharacteristic, complemented
46#16838096C2211yescharacteristic, complemented
47#16838086C2211yescharacteristic, complemented
48#16838086C2211yescharacteristic, complemented
49#16838080—21no—
50#16838063C2211yescharacteristic, complemented
51#16838063C2211yescharacteristic, complemented
52#16838054—21no—
53#16838054C2211yescharacteristic
54#16838054C2211yescharacteristic, complemented
55#16838049—21no—
56#16838049C2211yescharacteristic
57#16838049C2211yescharacteristic, complemented
58#16838043—21no—
59#16838043C2211yescharacteristic
60#16838043C2211yescharacteristic, complemented
61#16838043C2211yescharacteristic, complemented
62#16838043C2211yescharacteristic, complemented
63#16838036—21no—
64#16838036C2211yescharacteristic
65#16838036C2211yescharacteristic, complemented
66#16838004—21no—
67#16838004—21no—
68#16837986—21no—
69#16837986—21no—
70#16837983C2211yescharacteristic, complemented
71#16837982C2211yescharacteristic, complemented
72#16837982C2211yescharacteristic, complemented
73#16837966C2211yescharacteristic, complemented
74#16837960—21no—
75#16837960—21no—
76#16837948C2211yescharacteristic
77#16837948C2211yescharacteristic, complemented
78#16837938C2211yescharacteristic, complemented
79#16837938C2211yescharacteristic, complemented
80#121×D59—21no—
81#121×D59—21no—
82C2×#14273689C2211yescharacteristic, complemented
83#16837795C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837787C2211yescharacteristic, complemented
86#16837783C2211yescharacteristic, complemented
87#16837769C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837758C2211yescharacteristic, complemented
90#16837755C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837723C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837720C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837715C2211yescharacteristic, complemented
99#16837705C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837701C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837659C2211yescharacteristic, complemented
104#16837656C2211yescharacteristic, complemented
105#16837653C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837642C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic, complemented
111#16837636C2211yescharacteristic, complemented
112#16837634C2211yescharacteristic, complemented
113#16837633C2211yescharacteristic, complemented
114#16837632C2211yescharacteristic, complemented
115#16837626C2211yescharacteristic, complemented
116#16837622C2211yescharacteristic, complemented
117#16837620C2211yescharacteristic, complemented
118#16837620C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837610C2211yescharacteristic, complemented
124#16837606C2211yescharacteristic, complemented
125#16837600C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837567C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837563C2211yescharacteristic, complemented
130#16837563C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic, complemented
134#16837562C2211yescharacteristic, complemented
135#16837552C2211yescharacteristic, complemented
136#16837552C2211yescharacteristic, complemented
137#16837552C2211yescharacteristic, complemented
138#16837552C2211yescharacteristic, complemented
139#16837552C2211yescharacteristic, complemented
140#16837551C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic, complemented
142#16837550C2211yescharacteristic, complemented
143#16837550C2211yescharacteristic, complemented
144#16837550C2211yescharacteristic, complemented
145#16837550C2211yescharacteristic, complemented
146#16837549C2211yescharacteristic, complemented
147#16837549C2211yescharacteristic, complemented
148#16837549C2211yescharacteristic, complemented
149#16837549C2211yescharacteristic, complemented
150#16837547C2211yescharacteristic, complemented
151#16837547C2211yescharacteristic, complemented
152#16837538C2211yescharacteristic
153#16837538C2211yescharacteristic
154#16837538C2211yescharacteristic, complemented
155#16837538C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic, complemented
159#16837513C2211yescharacteristic, complemented
160#16837513C2211yescharacteristic, complemented
161#16837505C2211yescharacteristic, complemented
162#16837505C2211yescharacteristic, complemented
163#16837487C2211yescharacteristic, complemented
164#16837487C2211yescharacteristic, complemented
165#16837484C2211yescharacteristic, complemented
166#16837484C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837473C2211yescharacteristic, complemented
171#16837471C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174(C22⋊D59)⋊C8C2211yescharacteristic, complemented
175#16837456C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837408C2211yescharacteristic, complemented
178#16837406C2211yescharacteristic, complemented
179#16837402C2211yescharacteristic, complemented
180#16837402C2211yescharacteristic, complemented
181#16837399C2211yescharacteristic, complemented
182#16837396C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837369C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C59×#537C2211yescharacteristic
189C59×#536C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#482C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#467C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#452C2211yescharacteristic, complemented
200C59×#451C2211yescharacteristic, complemented
201C59×#448C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205#14273773—42no—
206#14273773—42no—
207C2×#11745689—21no—
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745685—21no—
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic
216C2×#11745685C2311yescharacteristic
217C22×D236—21no—
218C22×D236C2311yescharacteristic
219C22×D236C2311yescharacteristic
220C22×D236C2311yescharacteristic
221C22×D236C2311yescharacteristic
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C22×C4×D59—21no—
232#14273758—42no—
233#14273755—42no—
234#14273754—42no—
235#14273754—42no—
236#14273750—42no—
237#14273750—42no—
238C2×#11745672C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745660C2311yescharacteristic
241C2×#11745660C2311yescharacteristic
242C2×#11745671—42no—
243C2×#11745671C2311yescharacteristic
244C2×#11745671C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×D472—42no—
252C2×D472C2311yescharacteristic
253C2×D472C2311yescharacteristic
254C2×D472C2311yescharacteristic
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×D472C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745664C2311yescharacteristic
261C2×#11745659C2311yescharacteristic
262C2×#11745659C2311yescharacteristic
263C22×C59⋊C8C2311yescharacteristic
264C2×C8×D59C2311yescharacteristic
265C2×C8×D59C2311yescharacteristic
266#14273725D411yescharacteristic
267#14273725C2311yescharacteristic
268#14273723—21no—
269#14273723D411yescharacteristic
270#14273723C2311yescharacteristic
271#14273722—21no—
272#14273722—21no—
273#14273721—21no—
274#14273721—21no—
275#14273720—21no—
276#14273720—21no—
277#14273718C2311yescharacteristic
278#14273718C2311yescharacteristic
279#14273717—21no—
280#14273717—21no—
281#14273716—21no—
282#14273716—21no—
283#14273716—21no—
284#14273716D411yescharacteristic
285#14273716C2311yescharacteristic
286#14273716C2311yescharacteristic
287#14273716C2311yescharacteristic
288#14273714D411yescharacteristic
289#14273714C2311yescharacteristic
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712—21no—
296#14273711—21no—
297#14273711—21no—
298#14273709—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709—21no—
302#14273709—21no—
303#14273709—21no—
304#14273709—21no—
305#14273709—21no—
306#14273707—21no—
307#14273707C2311yescharacteristic
308#14273707C2311yescharacteristic
309#14273705—21no—
310#14273705—21no—
311#14273703—21no—
312#14273703—21no—
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702—21no—
321#14273702—21no—
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273702C2311yescharacteristic
326#14273701—21no—
327#14273701—21no—
328#14273701—21no—
329#14273701—21no—
330#14273701C2311yescharacteristic
331#14273701C2311yescharacteristic
332#14273701C2311yescharacteristic
333#14273701C2311yescharacteristic
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273700—21no—
342#14273700—21no—
343#14273700—21no—
344#14273699—21no—
345#14273699—21no—
346#14273699D411yescharacteristic
347#14273699D411yescharacteristic
348#14273699D411yescharacteristic
349#14273699D411yescharacteristic
350#14273698—21no—
351#14273698—21no—
352#14273697—21no—
353#14273697—21no—
354#14273697—21no—
355#14273697—21no—
356#14273697—21no—
357#14273697—21no—
358#14273695—21no—
359#14273695—21no—
360#14273695—21no—
361#14273695—21no—
362#14273695—21no—
363#14273695—21no—
364Q8×Dic59C2311yescharacteristic
365Q8×Dic59C2311yescharacteristic
366C4×D236—21no—
367C4×D236—21no—
368#14273689—21no—
369#14273689—21no—
370#14273689C2311yescharacteristic
371#14273689C2311yescharacteristic
372#14273689C2311yescharacteristic
373#14273689C2311yescharacteristic
374#14273689C2311yescharacteristic
375#14273689C2311yescharacteristic
376C4×C22⋊D59—21no—
377C4×C22⋊D59—21no—
378C4×C22⋊D59—21no—
379C4×C22⋊D59—21no—
380C4×C22⋊D59C2311yescharacteristic
381C4×C22⋊D59C2311yescharacteristic
382C4×C22⋊D59C2311yescharacteristic
383C4×C22⋊D59C2311yescharacteristic
384(C22⋊D59)⋊C4—21no—
385(C22⋊D59)⋊C4—21no—
386#14273686C2311yescharacteristic
387#14273685—21no—
388#14273685—21no—
389#14273685—21no—
390#14273685—21no—
391C4⋊C4×D59—21no—
392C4⋊C4×D59—21no—
393C4⋊C4×D59C2311yescharacteristic
394C4⋊C4×D59C2311yescharacteristic
395C2×(C2×D59)⋊C4—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C2×C4×Dic59C2311yescharacteristic
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273658C2311yescharacteristic
406#14273658C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
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#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437C22⋊(C59⋊C8)C2311yescharacteristic
438C22⋊(C59⋊C8)C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443#14273637C2311yescharacteristic
444#14273637C2311yescharacteristic
445C8×Dic59C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C22×Q8×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×Q16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C4⋊Q8×C59—21no—
457#124×C59—21no—
458#123×C59—21no—
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464C22⋊Q8×C59C2311yescharacteristic
465C22⋊Q8×C59C2311yescharacteristic
466C22⋊Q8×C59C2311yescharacteristic
467#121×C59—21no—
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#117×C59C2311yescharacteristic
473C2×C4⋊C4×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476#106×C59C2311yescharacteristic
477#106×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499#41×C59—41no—
500C2×Q8×C59—21no—
501C2×Q8×C59—41no—
502C2×Q8×C59—41no—
503C2×Q8×C59C2×D411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×Q8×C59C2411yescharacteristic
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2×D411yescharacteristic
512C2×D4×C59C2×D411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C22×C4×C59C2411yescharacteristic
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C2×C22⋊D59C2×D411yescharacteristic
537C22×Dic59C2×D411yescharacteristic
538C22×Dic59C2×D411yescharacteristic
539#11745689—22no—
540#11745689—22no—
541#11745689—41no—
542#11745689—41no—
543#11745689—41no—
544#11745689—41no—
545#11745689—41no—
546#11745689—41no—
547#11745689—44no—
548D4×D59—22no—
549D4×D59—22no—
550D4×D59—41no—
551D4×D59—41no—
552D4×D59—44no—
553D4×D59—44no—
554D4×D59—44no—
555D4×D59—44no—
556D4×D59—44no—
557D4×D59—82no—
558D4×D59—82no—
559#11745685—22no—
560#11745685—22no—
561#11745685—41no—
562#11745685—41no—
563#11745685—41no—
564#11745685—41no—
565#11745685—41no—
566#11745685—41no—
567#11745685—44no—
568C2×D236—21no—
569C2×D236—22no—
570C2×D236—22no—
571C2×D236—22no—
572C2×D236—22no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—41no—
585C2×D236—41no—
586C2×D236—41no—
587C2×D236—41no—
588C2×D236—44no—
589C2×D236C2×D411yescharacteristic
590C2×D236C2411yescharacteristic
591C2×D236C2411yescharacteristic
592C2×D236C2411yescharacteristic
593C2×D236C2411yescharacteristic
594C2×D236C2411yescharacteristic
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—21no—
600C2×C4×D59—21no—
601C2×C4×D59—21no—
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×D59—82no—
611C2×C4×D59C2411yescharacteristic
612C2×C4×D59C2411yescharacteristic
613C2×Dic118C2×D411yescharacteristic
614C2×Dic118C2411yescharacteristic
615Q16×C59—41no—
616Q16×C59—41no—
617SD16×C59—41no—
618SD16×C59—41no—
619M16×C59—41no—
620C2×C8×C59—41no—
621C2×C8×C59C2411yescharacteristic
622C2×C8×C59C2411yescharacteristic
623C2×C8×C59C2411yescharacteristic
624C2×C8×C59C2411yescharacteristic
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59—21no—
629C4⋊C4×C59—21no—
630C4⋊C4×C59—21no—
631C4⋊C4×C59—21no—
632C4⋊C4×C59C2411yescharacteristic
633C4⋊C4×C59C2411yescharacteristic
634C4⋊C4×C59C2411yescharacteristic
635C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C42×C59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59C2×D411yescharacteristic
650C22⋊Dic59C2×D411yescharacteristic
651C22⋊Dic59C2×D411yescharacteristic
652C22⋊Dic59C2×D411yescharacteristic
653#11745672—41no—
654#11745672—41no—
655#11745671—22no—
656#11745671—22no—
657#11745671—22no—
658#11745671—22no—
659#11745671—41no—
660#11745671—41no—
661#11745671—41no—
662#11745671—41no—
663#11745669—41no—
664#11745669—41no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
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)⋊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)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691(C2×D59)⋊C4C2×D411yescharacteristic
692(C2×D59)⋊C4C2×D411yescharacteristic
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59C2411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
710Dic59⋊C4C2×D411yescharacteristic
711Dic59⋊C4C2×D411yescharacteristic
712Dic59⋊C4C2×D411yescharacteristic
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59C2×D411yescharacteristic
717C4×Dic59C2×D411yescharacteristic
718C4×Dic59C2411yescharacteristic
719C4×Dic59C2411yescharacteristic
720#11745664—41no—
721C2×C59⋊C8—41no—
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726D472—22no—
727D472—22no—
728D472—22no—
729D472—22no—
730D472—41no—
731D472—41no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59C22×D411yescharacteristic
740C23×C59C22×D411yescharacteristic
741C23×C59C22×D411yescharacteristic
742C22×D59—21no—
743C22×D59—21no—
744C22×D59—24no—
745C22×D59—21no—
746C22×D59—21no—
747C22×D59—21no—
748C22×D59—42no—
749C22×D59—42no—
750C22×D59—42no—
751C22×D59—42no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59C22×D411yescharacteristic
766C22×D59C22×D411yescharacteristic
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770Q8×C59—21no—
771Q8×C59—21no—
772Q8×C59—21no—
773Q8×C59—41no—
774Q8×C59—81no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—41no—
778D4×C59—41no—
779D4×C59—41no—
780D4×C59—42no—
781D4×C59—81no—
782D4×C59—81no—
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—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—42no—
797C2×C4×C59—81no—
798C2×C4×C59—81no—
799C2×C4×C59C22×D411yescharacteristic
800C2×C4×C59C22×D411yescharacteristic
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C2511yescharacteristic
803C22⋊D59—41no—
804C22⋊D59—41no—
805C22⋊D59—41no—
806C22⋊D59—41no—
807C22⋊D59—41no—
808C22⋊D59—41no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C2×Dic59—21no—
821C2×Dic59—21no—
822C2×Dic59—21no—
823C2×Dic59—41no—
824C2×Dic59—41no—
825C2×Dic59C22×D411yescharacteristic
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828C2×Dic59C22×D411yescharacteristic
829C2×Dic59C22×D411yescharacteristic
830C2×Dic59C22×D411yescharacteristic
831D236—24no—
832D236—21no—
833D236—21no—
834D236—21no—
835D236—21no—
836D236—21no—
837D236—21no—
838D236—21no—
839D236—21no—
840D236—41no—
841D236—42no—
842D236—42no—
843D236—42no—
844D236—42no—
845D236—81no—
846D236—81no—
847D236—81no—
848D236—81no—
849D236—81no—
850D236—81no—
851D236—81no—
852D236H(5,𝔽2)12yes—
853D236H(5,𝔽2)12yes—
854C4×D59—21no—
855C4×D59—21no—
856C4×D59—21no—
857C4×D59—21no—
858C4×D59—42no—
859C4×D59—42no—
860C4×D59—42no—
861C4×D59—42no—
862C4×D59—42no—
863C4×D59—42no—
864C4×D59—42no—
865C4×D59—81no—
866C4×D59—81no—
867C4×D59—81no—
868C4×D59—81no—
869C4×D59—81no—
870C4×D59—81no—
871C4×D59—81no—
872C4×D59—81no—
873Dic118—21no—
874Dic118—21no—
875Dic118—41no—
876C8×C59—21no—
877C8×C59—21no—
878C8×C59—21no—
879C8×C59—21no—
880C59⋊C8—21no—
881C59⋊C8—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884#61678—591nomaximal, Sylow
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59C23×D411yescharacteristic
898C2×D59—21no—
899C2×D59—21no—
900C2×D59—21no—
901C2×D59—21no—
902C2×D59—21no—
903C2×D59—21no—
904C2×D59—22no—
905C2×D59—22no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—84no—
920C2×D59—162no—
921C2×D59—162no—
922C2×D59—162no—
923C2×D59—162no—
924C2×D59—162no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59—41no—
933C4×C59—41no—
934C4×C59—41no—
935C4×C59C2×H(5,𝔽2)11yescharacteristic
936C4×C59C2×H(5,𝔽2)11yescharacteristic
937Dic59—21no—
938Dic59—21no—
939Dic59—21no—
940Dic59—21no—
941Dic59—21no—
942Dic59—21no—
943Dic59—41no—
944Dic59—41no—
945Dic59—41no—
946#3551—591no—
947#3496—591no—
948#3323—591no—
949#3322—591no—
950#3318—591no—
951#3315—591no—
952#3310—591no—
953#3307—591no—
954#3297—591no—
955#3296—591no—
956#3282—591no—
957#3280—591no—
958#3275—591no—
959#3273—591no—
960#3269—591no—
961#3267—591no—
962#3265—591no—
963#3264—591no—
964#3219—591no—
965#3212—591no—
966#3204—591no—
967#3203—591no—
968#3201D5911yescharacteristic, complemented
969#3198—591no—
970#3114—591no—
971#3105—591no—
972#3012—591no—
973#3012—591no—
974#3009—591no—
975#3008—591no—
976#2981—591no—
977C2×C59—41no—
978C2×C59—41no—
979C2×C59—41no—
980C2×C59—81no—
981C2×C59#348411yescharacteristic
982C2×C59#358411yescharacteristic
983C2×C59#358511yescharacteristic
984D59—41no—
985D59—41no—
986D59—42no—
987D59—42no—
988D59—81no—
989D59—81no—
990D59—81no—
991C2×H(5,𝔽2)—591no—
992C2×H(5,𝔽2)—591no—
993C2×#137—591no—
994C2×AGL(1,ℤ/8)—591no—
995C2×AGL(1,ℤ/8)—591no—
996C2×AGL(1,ℤ/8)—591no—
997C2×#135—591no—
998C2×#135—591no—
999C22×SD16—591no—
1000C22×D8—591no—
1001#563—1181no—
1002#560—1181no—
1003#555—1181no—
1004#553—591no—
1005#553—591no—
1006#552—591no—
1007#552—591no—
1008#551—1181no—
1009#548—591no—
1010#548—591no—
1011#547—591no—
1012#547—591no—
1013#547—1181no—
1014#546—591no—
1015#546—591no—
1016#546—591no—
1017#546—591no—
1018#546—591no—
1019#546—591no—
1020#546—1181no—
1021#546—1181no—
1022D42—591no—
1023D42—591no—
1024D42—1181no—
1025#540—1181no—
1026#540—1181no—
1027#538—1181no—
1028#538—1181no—
1029#537—591no—
1030#537—591no—
1031#537—591no—
1032#537C2×D5911yescharacteristic
1033#536C2×D5911yescharacteristic, complemented
1034#535—591no—
1035#534—1181no—
1036#534—1181no—
1037#532—591no—
1038#532—591no—
1039#529—591no—
1040#529—591no—
1041C2×#121—1181no—
1042C2×#121—1181no—
1043C2×C4×D4—591no—
1044#497—591no—
1045#496—591no—
1046#495—591no—
1047#495—591no—
1048#491—591no—
1049#490—591no—
1050#488—591no—
1051#488—591no—
1052#485—591no—
1053#485C2×D5911yescharacteristic, complemented
1054#484—591no—
1055#484C2×D5911yescharacteristic, complemented
1056#483—591no—
1057#483C2×D5911yescharacteristic, complemented
1058#482—591no—
1059#482C2×D5911yescharacteristic, complemented
1060#481—591no—
1061#481—591no—
1062#480—591no—
1063#480—591no—
1064#478—591no—
1065#478—591no—
1066#478—591no—
1067#478—591no—
1068#470—591no—
1069#470C2×D5911yescharacteristic, complemented
1070#469—591no—
1071#469—591no—
1072#468—591no—
1073#468—591no—
1074#468—591no—
1075#468C2×D5911yescharacteristic, complemented
1076#467—591no—
1077#467C2×D5911yescharacteristic, complemented
1078#466—591no—
1079#466—591no—
1080#465—591no—
1081#465—591no—
1082#465—591no—
1083#465C2×D5911yescharacteristic, complemented
1084#464—591no—
1085#464—591no—
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463—591no—
1090#463—591no—
1091#463—591no—
1092#462—591no—
1093#461—591no—
1094#460—591no—
1095#459—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452—591no—
1100#452—591no—
1101#452—591no—
1102#452—591no—
1103#452—591no—
1104#452C2×D5911yescharacteristic, complemented
1105#452C2×D5911yescharacteristic, complemented
1106#451C2×D5911yescharacteristic, complemented
1107#450—591no—
1108#450—591no—
1109#450—591no—
1110#450—591no—
1111#450—591no—
1112#450—591no—
1113#450—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449—591no—
1118#449—591no—
1119#449—591no—
1120#449—591no—
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#448C2×D5911yescharacteristic, complemented
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#447—591no—
1131#447—591no—
1132#442—591no—
1133#442—591no—
1134#440—591no—
1135#440—591no—
1136C4×SD16—591no—
1137C4×SD16—591no—
1138C4×D8—591no—
1139C4×D8—591no—
1140#436—591no—
1141#436—591no—
1142#435—591no—
1143#435—591no—
1144#435—591no—
1145#435—591no—
1146C8×D4—591no—
1147C8×D4—591no—
1148#432—591no—
1149#431—591no—
1150#418—591no—
1151#418—591no—
1152#417—591no—
1153#417—591no—
1154#416—591no—
1155#416—591no—
1156C2×#102—591no—
1157C2×#102—591no—
1158#408—591no—
1159#408—591no—
1160#408—591no—
1161#408C2×D5911yescharacteristic, complemented
1162C59#6167811yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—2362no—
1164H(5,𝔽2)—2362no—
1165H(5,𝔽2)—2362no—
1166H(5,𝔽2)—2362no—
1167C2×#41—591no—
1168C2×#41—591no—
1169C2×#41—591no—
1170C2×#41—591no—
1171C2×#41—591no—
1172C2×#41—591no—
1173C2×#41—591no—
1174C2×#41—591no—
1175C2×#41—1181no—
1176C2×#41—1181no—
1177C2×#41C22×D5911yescharacteristic
1178C2×#41C22×D5911yescharacteristic
1179C22×Q8C22×D5911yescharacteristic
1180C22×D4—591no—
1181C22×D4—591no—
1182C22×D4—591no—
1183C22×D4—591no—
1184C22×D4—591no—
1185C22×D4—591no—
1186C22×D4—1181no—
1187C22×D4—1181no—
1188C22×D4—1181no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C22×D4—1181no—
1192C22×D4—1181no—
1193C22×D4—1181no—
1194C23×C4—1181no—
1195#137—2362no—
1196AGL(1,ℤ/8)—2362no—
1197AGL(1,ℤ/8)—2362no—
1198AGL(1,ℤ/8)—2362no—
1199#135—2362no—
1200#135—2362no—
1201C2×Q16—591no—
1202C2×Q16—591no—
1203C2×Q16C22×D5911yescharacteristic
1204C2×Q16C22×D5911yescharacteristic
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—591no—
1212C2×SD16—591no—
1213C2×SD16—591no—
1214C2×SD16—591no—
1215C2×SD16—2362no—
1216C2×SD16C22×D5911yescharacteristic
1217C2×SD16C22×D5911yescharacteristic
1218C2×D8—591no—
1219C2×D8—591no—
1220C2×D8—591no—
1221C2×D8—591no—
1222C2×D8—591no—
1223C2×D8—591no—
1224C2×D8—591no—
1225C2×D8—591no—
1226C2×D8—2362no—
1227C2×M16—591no—
1228C2×M16—591no—
1229C2×M16—591no—
1230C2×M16C22×D5911yescharacteristic
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8—591no—
1234C22×C8C22×D5911yescharacteristic
1235C4⋊Q8—21no—
1236C4⋊Q8—591no—
1237C4⋊Q8—591no—
1238#127—591no—
1239#127—591no—
1240#127—1181no—
1241#126—1181no—
1242#126—1181no—
1243#126—1181no—
1244#126—1181no—
1245#126—1181no—
1246#126—1181no—
1247#125—591no—
1248#125—591no—
1249#125—1181no—
1250#125—1181no—
1251#124—21no—
1252#124—591no—
1253#124—591no—
1254#124—591no—
1255#124—591no—
1256#124—591no—
1257#124—591no—
1258#124—1181no—
1259#124—1181no—
1260#124—1181no—
1261#123—21no—
1262#123—21no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279C22⋊Q8—21no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—1181no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8C22×D5911yescharacteristic
1290C22⋊Q8C22×D5911yescharacteristic
1291C22⋊Q8C22×D5911yescharacteristic
1292C22⋊Q8C22×D5911yescharacteristic
1293C22⋊Q8C22×D5911yescharacteristic
1294C22⋊Q8C22×D5911yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
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#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121C22×D5911yescharacteristic
1336#121C22×D5911yescharacteristic
1337#120—1181no—
1338#120—1181no—
1339#120—1181no—
1340#120—1181no—
1341#120—1181no—
1342#120—1181no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348#120—1181no—
1349C4×Q8—591no—
1350C4×Q8—591no—
1351C4×D4—591no—
1352C4×D4—591no—
1353C4×D4—591no—
1354C4×D4—591no—
1355C4×D4—591no—
1356C4×D4—591no—
1357C4×D4—591no—
1358C4×D4—591no—
1359C4×D4—591no—
1360C4×D4—591no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4—1181no—
1367C4×D4—1181no—
1368C4×D4—1181no—
1369C4×D4—1181no—
1370C4×D4—1181no—
1371#117—591no—
1372#117—1181no—
1373#117—1181no—
1374#117—1181no—
1375#117—1181no—
1376#117C22×D5911yescharacteristic
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4—591no—
1379C2×C4⋊C4—1181no—
1380C2×C4⋊C4—1181no—
1381C2×C4⋊C4C22×D5911yescharacteristic
1382C2×C22⋊C4—1181no—
1383C2×C22⋊C4—1181no—
1384C2×C22⋊C4—1181no—
1385C2×C22⋊C4—1181no—
1386C2×C22⋊C4—1181no—
1387C2×C22⋊C4—1181no—
1388C2×C22⋊C4—1181no—
1389C2×C42—591no—
1390#107—591no—
1391#107—591no—
1392#107C22×D5911yescharacteristic
1393#107C22×D5911yescharacteristic
1394#106—591no—
1395#106—591no—
1396#106C22×D5911yescharacteristic
1397#106C22×D5911yescharacteristic
1398C4⋊C8—591no—
1399C4⋊C8—591no—
1400C4⋊C8—591no—
1401C4⋊C8—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103C22×D5911yescharacteristic
1409#103C22×D5911yescharacteristic
1410#103C22×D5911yescharacteristic
1411#103C22×D5911yescharacteristic
1412#103C22×D5911yescharacteristic
1413#103C22×D5911yescharacteristic
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#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102C22×D5911yescharacteristic
1433#102C22×D5911yescharacteristic
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8C22×D5911yescharacteristic
1443C22⋊C8C22×D5911yescharacteristic
1444C22⋊C8C22×D5911yescharacteristic
1445C22⋊C8C22×D5911yescharacteristic
1446#97—591no—
1447#97—591no—
1448C4×C8—591no—
1449C4×C8—591no—
1450C24—1181no—
1451C24—1181no—
1452C24—1181no—
1453C24—1181no—
1454C24—1181no—
1455C24—1181no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—1182no—
1461#41—1182no—
1462#41—1182no—
1463#41—1182no—
1464#41—2361no—
1465#41—2361no—
1466#41—2361no—
1467#41—2361no—
1468#41—2361no—
1469#41—2361no—
1470#41—2364no—
1471#41—2361no—
1472#41—2361no—
1473#41—2361no—
1474#41—2361no—
1475#41—2361no—
1476#41—2361no—
1477#41—2364no—
1478C2×Q8—21no—
1479C2×Q8—41no—
1480C2×Q8—41no—
1481C2×Q8—591no—
1482C2×Q8—591no—
1483C2×Q8D4×D5911yescharacteristic
1484C2×Q8C23×D5911yescharacteristic
1485C2×Q8C23×D5911yescharacteristic
1486C2×Q8C23×D5911yescharacteristic
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
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—591no—
1499C2×D4—591no—
1500C2×D4—591no—
1501C2×D4—591no—
1502C2×D4—1182no—
1503C2×D4—1182no—
1504C2×D4—1182no—
1505C2×D4—1182no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
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—1182no—
1519C2×D4—1182no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—4722no—
1532C2×D4—4722no—
1533C2×D4—2361no—
1534C2×D4—2361no—
1535C2×D4—2361no—
1536C2×D4—2361no—
1537C2×D4—2364no—
1538C2×D4—2361no—
1539C2×D4—2361no—
1540C2×D4—2364no—
1541C2×D4—2364no—
1542C2×D4—2364no—
1543C2×D4—2364no—
1544C2×D4—2364no—
1545C2×D4D4×D5911yescharacteristic
1546C2×D4D4×D5911yescharacteristic
1547C2×D4D4×D5911yescharacteristic
1548C2×D4C23×D5911yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—591no—
1553C22×C4—591no—
1554C22×C4—591no—
1555C22×C4—591no—
1556C22×C4—1181no—
1557C22×C4—1181no—
1558C22×C4—1181no—
1559C22×C4—1181no—
1560C22×C4—1181no—
1561C22×C4—1181no—
1562C22×C4—1181no—
1563C22×C4—1181no—
1564C22×C4—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—1181no—
1568C22×C4—1181no—
1569C22×C4—1181no—
1570C22×C4—1181no—
1571C22×C4—4722no—
1572C22×C4C23×D5911yescharacteristic
1573C22×C4C23×D5911yescharacteristic
1574C22×C4C23×D5911yescharacteristic
1575Q16—41no—
1576Q16—41no—
1577Q16—2361no—
1578Q16—2361no—
1579SD16—41no—
1580SD16—41no—
1581SD16—1182no—
1582SD16—1182no—
1583SD16—1182no—
1584SD16—1182no—
1585SD16—2361no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591D8—1182no—
1592D8—1182no—
1593D8—1182no—
1594D8—1182no—
1595D8—2361no—
1596D8—2361no—
1597D8—2361no—
1598D8—2361no—
1599M16—41no—
1600M16—2361no—
1601M16—2361no—
1602M16—2361no—
1603C2×C8—41no—
1604C2×C8—591no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—2361no—
1609C2×C8—2361no—
1610C2×C8—2361no—
1611C2×C8C23×D5911yescharacteristic
1612C2×C8C23×D5911yescharacteristic
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—591no—
1625C4⋊C4—591no—
1626C4⋊C4—591no—
1627C4⋊C4—591no—
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⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4—1181no—
1639C4⋊C4—1181no—
1640C4⋊C4—1181no—
1641C4⋊C4—1181no—
1642C4⋊C4C23×D5911yescharacteristic
1643C4⋊C4C23×D5911yescharacteristic
1644C4⋊C4C23×D5911yescharacteristic
1645C4⋊C4C23×D5911yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—591no—
1656C22⋊C4—591no—
1657C22⋊C4—591no—
1658C22⋊C4—591no—
1659C22⋊C4—591no—
1660C22⋊C4—591no—
1661C22⋊C4—591no—
1662C22⋊C4—591no—
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⋊C4—1181no—
1679C22⋊C4—1181no—
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—
1690C42—21no—
1691C42—591no—
1692C42—591no—
1693C42—591no—
1694C42—591no—
1695C42—1181no—
1696C42—1181no—
1697C42—1181no—
1698C23—21no—
1699C23—591no—
1700C23—591no—
1701C23—1184no—
1702C23—1181no—
1703C23—1181no—
1704C23—1181no—
1705C23—1181no—
1706C23—1181no—
1707C23—4721no—
1708C23—4721no—
1709C23—4721no—
1710C23—4721no—
1711C23—4721no—
1712C23—4721no—
1713C23—4721no—
1714C23—4721no—
1715C23—4721no—
1716C23—4721no—
1717C23—4721no—
1718C23—4721no—
1719C23—4721no—
1720C23—2362no—
1721C23—2362no—
1722C23—2362no—
1723C23—2362no—
1724C23C2×D4×D5911yescharacteristic
1725C23C2×D4×D5911yescharacteristic
1726C23C2×D4×D5911yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—21no—
1732Q8—21no—
1733Q8—41no—
1734Q8—81no—
1735Q8—1181no—
1736Q8—1181no—
1737Q8—2361no—
1738D4—21no—
1739D4—21no—
1740D4—41no—
1741D4—41no—
1742D4—41no—
1743D4—42no—
1744D4—81no—
1745D4—81no—
1746D4—592no—
1747D4—592no—
1748D4—1184no—
1749D4—1181no—
1750D4—1181no—
1751D4—1181no—
1752D4—1181no—
1753D4—1181no—
1754D4—1181no—
1755D4—1181no—
1756D4—1181no—
1757D4—4721no—
1758D4—4721no—
1759D4—4721no—
1760D4—4721no—
1761D4—4721no—
1762D4—4721no—
1763D4—4721no—
1764D4—4721no—
1765D4—4721no—
1766D4—4721no—
1767D4—4721no—
1768D4—4721no—
1769D4—2361no—
1770D4—2362no—
1771D4—2362no—
1772D4—2362no—
1773D4—2362no—
1774D4—2361no—
1775D4—2361no—
1776D4—2361no—
1777D4—2361no—
1778D4—2361no—
1779D4—2361no—
1780D4—2362no—
1781D4—2362no—
1782D4—2362no—
1783D4—2362no—
1784D4—2362no—
1785D4—2362no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—42no—
1800C2×C4—81no—
1801C2×C4—81no—
1802C2×C4—591no—
1803C2×C4—591no—
1804C2×C4—591no—
1805C2×C4—591no—
1806C2×C4—591no—
1807C2×C4—591no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—4721no—
1816C2×C4—4721no—
1817C2×C4—4721no—
1818C2×C4—4721no—
1819C2×C4—4721no—
1820C2×C4—4721no—
1821C2×C4—4721no—
1822C2×C4—4721no—
1823C2×C4—2362no—
1824C2×C4—2362no—
1825C2×C4—2362no—
1826C2×C4—2362no—
1827C2×C4—2362no—
1828C2×C4—2362no—
1829C2×C4—2362no—
1830C2×C4—2361no—
1831C2×C4—2361no—
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C2×D4×D5911yescharacteristic
1835C2×C4C24×D5911yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C8—1181no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—1181no—
1857C22—1181no—
1858C22—1182no—
1859C22—1182no—
1860C22—1181no—
1861C22—1181no—
1862C22—1181no—
1863C22—1181no—
1864C22—9442no—
1865C22—9442no—
1866C22—9442no—
1867C22—9442no—
1868C22—9442no—
1869C22—4724no—
1870C22—2361no—
1871C22—2361no—
1872C22—2361no—
1873C22—2361no—
1874C22—2361no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22—2361no—
1879C22—2361no—
1880C22—2361no—
1881C22—2361no—
1882C22—2361no—
1883C22C22×D4×D5911yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—1181no—
1895C4—1181no—
1896C4—1181no—
1897C4—1181no—
1898C4—1181no—
1899C4—1181no—
1900C4—2361no—
1901C4—2361no—
1902C4—2361no—
1903C4H(5,𝔽2)×D5911yescharacteristic
1904C4H(5,𝔽2)×D5911yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—81no—
1909C2—4721no—
1910C2—4721no—
1911C2—4721no—
1912C2—2361no—
1913C2—2361no—
1914C2—2362no—
1915C2—2362no—
1916C2#2143772811yescharacteristic
1917C2#2143886611yescharacteristic
1918C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3201C2
socleC22×C59C23×D4
hypercenter#3201D59
hypocenterC59#61678
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

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

NH ≅ G/Ntype
1. #21438525C2semidirect
2. #21437859C2semidirect
3. #21436318C2semidirect
4. #21436295C2semidirect
5. #21436240C2semidirect
6. #21436198C2semidirect
7. #21436112C2semidirect
8. #21436070C2semidirect
9. #21435949C2semidirect
10. #21435926C2semidirect
11. #21435796C2semidirect
12. #21435778C2semidirect
13. #21435730C2semidirect
14. #21435704C2semidirect
15. #21435654C2semidirect
16. #21435628C2semidirect
17. #21435584C2semidirect
18. #21435573C2semidirect
19. #21435137C2semidirect
20. #21435075C2semidirect
21. #21435006C2semidirect
22. #21435000C2semidirect
23. #21434942C2semidirect
24. #21434237C2semidirect
25. #21434146C2semidirect
26. #21433404C2semidirect
27. #21433404C2semidirect
28. #21433371C2semidirect
29. #21433366C2semidirect
30. #21433169C2semidirect
31. C59×#3201C2semidirect
33. C2×#14273773C22semidirect
34. C2×#14273758C22semidirect
35. C2×#14273755C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273754C22semidirect
38. C2×#14273750C22semidirect
39. C2×#14273750C22semidirect
40. C22×#11745671C22semidirect
41. C22×D472C22semidirect
45. #16838096C22semidirect
46. #16838096C22semidirect
47. #16838086C22semidirect
48. #16838086C22semidirect
50. #16838063C22semidirect
51. #16838063C22semidirect
54. #16838054C22semidirect
57. #16838049C22semidirect
60. #16838043C22semidirect
61. #16838043C22semidirect
62. #16838043C22semidirect
65. #16838036C22semidirect
70. #16837983C22semidirect
71. #16837982C22semidirect
72. #16837982C22semidirect
73. #16837966C22semidirect
77. #16837948C22semidirect
78. #16837938C22semidirect
79. #16837938C22semidirect
82. C2×#14273689C22semidirect
83. #16837795C22semidirect
84. #16837788C22semidirect
85. #16837787C22semidirect
86. #16837783C22semidirect
87. #16837769C22semidirect
88. #16837765C22semidirect
89. #16837758C22semidirect
90. #16837755C22semidirect
91. #16837740C22semidirect
92. #16837739C22semidirect
93. #16837734C22semidirect
94. #16837723C22semidirect
95. #16837722C22semidirect
96. #16837720C22semidirect
97. #16837717C22semidirect
98. #16837715C22semidirect
99. #16837705C22semidirect
100. #16837705C22semidirect
101. #16837701C22semidirect
102. #16837701C22semidirect
103. #16837659C22semidirect
104. #16837656C22semidirect
105. #16837653C22semidirect
106. #16837651C22semidirect
107. #16837650C22semidirect
108. #16837649C22semidirect
109. #16837642C22semidirect
110. #16837639C22semidirect
111. #16837636C22semidirect
112. #16837634C22semidirect
113. #16837633C22semidirect
114. #16837632C22semidirect
115. #16837626C22semidirect
116. #16837622C22semidirect
117. #16837620C22semidirect
118. #16837620C22semidirect
119. #16837620C22semidirect
120. #16837620C22semidirect
121. #16837620C22semidirect
122. #16837616C22semidirect
123. #16837610C22semidirect
124. #16837606C22semidirect
125. #16837600C22semidirect
126. #16837596C22semidirect
127. #16837567C22semidirect
128. #16837567C22semidirect
129. #16837563C22semidirect
130. #16837563C22semidirect
131. #16837562C22semidirect
132. #16837562C22semidirect
133. #16837562C22semidirect
134. #16837562C22semidirect
135. #16837552C22semidirect
136. #16837552C22semidirect
137. #16837552C22semidirect
138. #16837552C22semidirect
139. #16837552C22semidirect
140. #16837551C22semidirect
141. #16837551C22semidirect
142. #16837550C22semidirect
143. #16837550C22semidirect
144. #16837550C22semidirect
145. #16837550C22semidirect
146. #16837549C22semidirect
147. #16837549C22semidirect
148. #16837549C22semidirect
149. #16837549C22semidirect
150. #16837547C22semidirect
151. #16837547C22semidirect
154. #16837538C22semidirect
155. #16837538C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837535C22semidirect
159. #16837513C22semidirect
160. #16837513C22semidirect
161. #16837505C22semidirect
162. #16837505C22semidirect
163. #16837487C22semidirect
164. #16837487C22semidirect
165. #16837484C22semidirect
166. #16837484C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837476C22semidirect
170. #16837473C22semidirect
171. #16837471C22semidirect
172. #16837470C22semidirect
173. C8×C22⋊D59C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837456C22semidirect
176. #16837452C22semidirect
177. #16837408C22semidirect
178. #16837406C22semidirect
179. #16837402C22semidirect
180. #16837402C22semidirect
181. #16837399C22semidirect
182. #16837396C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837369C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
189. C59×#536C22semidirect
190. C59×#485C22semidirect
191. C59×#484C22semidirect
192. C59×#483C22semidirect
193. C59×#482C22semidirect
194. C59×#470C22semidirect
195. C59×#468C22semidirect
196. C59×#467C22semidirect
197. C59×#465C22semidirect
198. C59×#452C22semidirect
199. C59×#452C22semidirect
200. C59×#451C22semidirect
201. C59×#448C22semidirect
202. C59×#408C22semidirect
968. #3201D59semidirect
1033. #536C2×D59semidirect
1053. #485C2×D59semidirect
1055. #484C2×D59semidirect
1057. #483C2×D59semidirect
1059. #482C2×D59semidirect
1069. #470C2×D59semidirect
1075. #468C2×D59semidirect
1077. #467C2×D59semidirect
1083. #465C2×D59semidirect
1104. #452C2×D59semidirect
1105. #452C2×D59semidirect
1106. #451C2×D59semidirect
1124. #448C2×D59semidirect
1161. #408C2×D59semidirect
1162. C59#61678semidirect

Maximal subgroups

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

subgroupindex
#214385252
#214378592
#214363182
#214362952
#214362402
#214361982
#214361122
#214360702
#214359492
#214359262
#214357962
#214357782
#214357302
#214357042
#214356542
#214356282
#214355842
#214355732
#214351372
#214350752
#214350062
#214350002
#214349422
#214342372
#214341462
#214334042
#214333712
#214333662
#214331692
C59×#32012
#6167859