Finite Group Databasebeta

← #29474845

Subgroups — #29474845

Order 15104.

2070 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438351C211yesmaximal, characteristic, complemented
2#21437735C211yesmaximal, characteristic, complemented
3#21436198C211yesmaximal, characteristic, complemented
4#21436185C211yesmaximal, characteristic, complemented
5#21436079C211yesmaximal, characteristic, complemented
6#21436072C211yesmaximal, characteristic, complemented
7#21435951C211yesmaximal, characteristic, complemented
8#21435948C211yesmaximal, characteristic, complemented
9#21435937C211yesmaximal, characteristic, complemented
10#21435924C211yesmaximal, characteristic, complemented
11#21435820C211yesmaximal, characteristic, complemented
12#21435819C211yesmaximal, characteristic, complemented
13#21435816C211yesmaximal, characteristic, complemented
14#21435639C211yesmaximal, characteristic, complemented
15#21435636C211yesmaximal, characteristic, complemented
16#21435627C211yesmaximal, characteristic, complemented
17#21435622C211yesmaximal, characteristic, complemented
18#21435172C211yesmaximal, characteristic, complemented
19#21435156C211yesmaximal, characteristic, complemented
20#21434981C211yesmaximal, characteristic, complemented
21#21434977C211yesmaximal, characteristic, complemented
22#21434890C211yesmaximal, characteristic, complemented
23#21434888C211yesmaximal, characteristic, complemented
24#21434346C211yesmaximal, characteristic, complemented
25#21434336C211yesmaximal, characteristic, complemented
26#21433404C211yesmaximal, characteristic, complemented
27#21433396C211yesmaximal, characteristic, complemented
28#21433317C211yesmaximal, characteristic, complemented
29#21433310C211yesmaximal, characteristic, complemented
30#21433149C211yesmaximal, characteristic, complemented
31C59×#3283C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273750C2211yescharacteristic, complemented
37C2×#14273750C2211yescharacteristic, complemented
38C2×#14273748C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40#16838142—21no—
41#16838140—21no—
42#16838102C2211yescharacteristic, complemented
43#16838100—21no—
44#16838098C2211yescharacteristic, complemented
45#16838097—21no—
46#16838094C2211yescharacteristic, complemented
47#16838086C2211yescharacteristic, complemented
48#16838071C2211yescharacteristic, complemented
49#16838071C2211yescharacteristic, complemented
50#16838055C2211yescharacteristic
51#16838055C2211yescharacteristic, complemented
52#16838054C2211yescharacteristic
53#16838053—21no—
54#16838051C2211yescharacteristic
55#16838050—21no—
56#16838048C2211yescharacteristic
57#16838047C2211yescharacteristic
58#16838044—21no—
59#16838043C2211yescharacteristic
60#16838041—21no—
61#16838040C2211yescharacteristic
62#16838013C2211yescharacteristic, complemented
63#16838004—21no—
64#16838003C2211yescharacteristic, complemented
65#16838002—21no—
66#16837999—21no—
67#16837995—21no—
68#16837982C2211yescharacteristic
69#16837980C2211yescharacteristic
70#16837977C2211yescharacteristic
71#16837975C2211yescharacteristic
72#16837963—21no—
73#16837960—21no—
74#16837915C2211yescharacteristic
75#16837915C2211yescharacteristic, complemented
76#16837911C2211yescharacteristic
77#16837909C2211yescharacteristic, complemented
78C2×#14273712—21no—
79#123×D59—21no—
80#16837874C2211yescharacteristic
81#16837794C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837770C2211yescharacteristic, complemented
85#16837769C2211yescharacteristic, complemented
86#16837758C2211yescharacteristic, complemented
87#16837757C2211yescharacteristic, complemented
88#16837742C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837738C2211yescharacteristic, complemented
94#16837731C2211yescharacteristic, complemented
95#16837730C2211yescharacteristic, complemented
96#16837729C2211yescharacteristic, complemented
97#16837729C2211yescharacteristic, complemented
98#16837727C2211yescharacteristic, complemented
99#16837724C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic, complemented
102#16837702C2211yescharacteristic, complemented
103#16837700C2211yescharacteristic, complemented
104#16837659C2211yescharacteristic, complemented
105#16837658C2211yescharacteristic, complemented
106#16837650C2211yescharacteristic, complemented
107#16837645C2211yescharacteristic, complemented
108#16837640C2211yescharacteristic, complemented
109#16837640C2211yescharacteristic, complemented
110#16837638C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837634C2211yescharacteristic, complemented
113#16837633C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837631C2211yescharacteristic, complemented
116#16837630C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837618C2211yescharacteristic, complemented
121#16837617C2211yescharacteristic, complemented
122#16837610C2211yescharacteristic, complemented
123#16837610C2211yescharacteristic, complemented
124#16837604C2211yescharacteristic, complemented
125#16837604C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837595C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837564C2211yescharacteristic, complemented
130#16837563C2211yescharacteristic
131#16837563C2211yescharacteristic
132#16837563C2211yescharacteristic, complemented
133#16837563C2211yescharacteristic, complemented
134#16837563C2211yescharacteristic, complemented
135#16837563C2211yescharacteristic, complemented
136#16837562C2211yescharacteristic, complemented
137#16837561C2211yescharacteristic, complemented
138#16837556C2211yescharacteristic, complemented
139#16837556C2211yescharacteristic, complemented
140#16837552C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic
142#16837551C2211yescharacteristic
143#16837551C2211yescharacteristic, complemented
144#16837550C2211yescharacteristic
145#16837550C2211yescharacteristic, complemented
146#16837549C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic, complemented
148#16837547C2211yescharacteristic, complemented
149#16837547C2211yescharacteristic, complemented
150#16837546C2211yescharacteristic
151#16837546C2211yescharacteristic, complemented
152#16837546C2211yescharacteristic, complemented
153#16837544C2211yescharacteristic, complemented
154#16837542C2211yescharacteristic, complemented
155#16837539C2211yescharacteristic, complemented
156#16837538C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic
158#16837534C2211yescharacteristic
159#16837534C2211yescharacteristic, complemented
160#16837512C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837505C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164SD16×Dic59C2211yescharacteristic, complemented
165#16837487C2211yescharacteristic, complemented
166C4×D472C2211yescharacteristic, complemented
167#16837476C2211yescharacteristic, complemented
168#16837474C2211yescharacteristic, complemented
169#16837473C2211yescharacteristic, complemented
170#16837472C2211yescharacteristic, complemented
171C8×D236C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837462C2211yescharacteristic, complemented
175#16837461C2211yescharacteristic, complemented
176#16837403C2211yescharacteristic, complemented
177#16837402C2211yescharacteristic, complemented
178#16837399C2211yescharacteristic, complemented
179#16837398C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182C2×#14273649C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837368C2211yescharacteristic
185#16837367C2211yescharacteristic
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C2×#135×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#547C2211yescharacteristic
191C59×#547C2211yescharacteristic, complemented
192C59×#494C2211yescharacteristic, complemented
193C59×#467C2211yescharacteristic, complemented
194C59×#467C2211yescharacteristic, complemented
195C59×#461C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#452C2211yescharacteristic, complemented
200C59×#452C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C8×D4×C59C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745685—21no—
211C2×#11745685—21no—
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745687—21no—
215C2×#11745687C2311yescharacteristic
216#41×D59—42no—
217#41×D59—42no—
218C2×Q8×D59C2311yescharacteristic
219C22×D236—21no—
220C22×D236C2311yescharacteristic
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59C2311yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C22×C4×D59—21no—
227C22×C4×D59C2311yescharacteristic
228#14273754—42no—
229#14273752—42no—
230#14273750—42no—
231#14273750—42no—
232#14273748—42no—
233#14273747—42no—
234C2×#11745672C2311yescharacteristic
235C2×#11745672C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745671C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240C2×#11745671C2311yescharacteristic
241C2×#11745671C2311yescharacteristic
242C2×#11745671C2311yescharacteristic
243C2×#11745671C2311yescharacteristic
244C2×D472C2311yescharacteristic
245C2×D472C2311yescharacteristic
246C2×#11745669C2311yescharacteristic
247C2×#11745669C2311yescharacteristic
248C2×#11745669C2311yescharacteristic
249C2×#11745664C2311yescharacteristic
250C2×#11745659C2311yescharacteristic
251C22×C59⋊C8C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254C2×C8×D59C2311yescharacteristic
255#14273726—21no—
256#14273725C2311yescharacteristic
257#14273723—21no—
258#14273723—21no—
259#14273723C2311yescharacteristic
260#14273722—21no—
261#14273722—21no—
262#14273722—21no—
263#14273722—21no—
264#14273720—21no—
265#14273720—21no—
266#14273719C2311yescharacteristic
267#14273718—21no—
268#14273718C2311yescharacteristic
269#14273717—21no—
270#14273717—21no—
271#14273717—21no—
272#14273716C2311yescharacteristic
273#14273715C2311yescharacteristic
274#14273713—21no—
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712D411yescharacteristic
288#14273711—21no—
289#14273711—21no—
290#14273710—21no—
291#14273710—21no—
292#14273710—21no—
293#14273710—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709D411yescharacteristic
300#14273708—21no—
301#14273708—21no—
302#14273707C2311yescharacteristic
303#14273706—21no—
304#14273706C2311yescharacteristic
305#14273705—21no—
306#14273705—21no—
307#14273705—21no—
308#14273705D411yescharacteristic
309#14273704D411yescharacteristic
310#14273703C2311yescharacteristic
311#14273703C2311yescharacteristic
312#14273703C2311yescharacteristic
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273703C2311yescharacteristic
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702C2311yescharacteristic
321#14273702C2311yescharacteristic
322#14273701—21no—
323#14273701—21no—
324#14273701—21no—
325#14273701—21no—
326#14273701—21no—
327#14273701C2311yescharacteristic
328#14273701C2311yescharacteristic
329#14273701C2311yescharacteristic
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700D411yescharacteristic
337#14273699—21no—
338#14273699—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273699D411yescharacteristic
343#14273698—21no—
344#14273698—21no—
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273698C2311yescharacteristic
348#14273697—21no—
349#14273697—21no—
350#14273697—21no—
351#14273697—21no—
352#14273697D411yescharacteristic
353#14273695—21no—
354#14273695—21no—
355#14273695—21no—
356#14273695D411yescharacteristic
357Q8×Dic59C2311yescharacteristic
358Q8×Dic59C2311yescharacteristic
359C4×D236C2311yescharacteristic
360C4×D236C2311yescharacteristic
361C4×D236C2311yescharacteristic
362D4×Dic59C2311yescharacteristic
363#14273689—21no—
364#14273689—21no—
365#14273689C2311yescharacteristic
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59C2311yescharacteristic
373C4×C22⋊D59C2311yescharacteristic
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378#14273686C2311yescharacteristic
379#14273685—21no—
380#14273685C2311yescharacteristic
381#14273685C2311yescharacteristic
382#14273684C2311yescharacteristic
383#14273683—21no—
384C2×C4⋊Dic59C2311yescharacteristic
385C2×Dic59⋊C4—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59—21no—
388C4⋊C4×D59—21no—
389C4⋊C4×D59C2311yescharacteristic
390C2×(C2×D59)⋊C4—21no—
391C2×(C2×D59)⋊C4—21no—
392C2×(C2×D59)⋊C4—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
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#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
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
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449#135×C59—42no—
450#135×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×Q16×C59C2311yescharacteristic
453C2×Q16×C59C2311yescharacteristic
454C2×Q16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×SD16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic
458C2×SD16×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C22×C8×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic
462C4⋊Q8×C59C2311yescharacteristic
463C4⋊Q8×C59C2311yescharacteristic
464#123×C59—21no—
465#123×C59—21no—
466#123×C59—21no—
467#123×C59—21no—
468C22⋊Q8×C59C2311yescharacteristic
469C22⋊Q8×C59C2311yescharacteristic
470C22⋊Q8×C59C2311yescharacteristic
471C22⋊Q8×C59C2311yescharacteristic
472#121×C59—21no—
473#121×C59—21no—
474C4×D4×C59C2311yescharacteristic
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477C2×C4⋊C4×C59—21no—
478C2×C4⋊C4×C59—21no—
479#107×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#103×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59C2×D411yescharacteristic
494#41×C59—22no—
495#41×C59—22no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—41no—
501#41×C59—41no—
502C2×Q8×C59C2411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59C2411yescharacteristic
520C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C2×C22⋊D59C2×D411yescharacteristic
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59C2×D411yescharacteristic
541#11745689—22no—
542#11745689—22no—
543#11745689—41no—
544#11745689—41no—
545#11745689—41no—
546#11745689—41no—
547#11745689—41no—
548#11745689—41no—
549#11745689—41no—
550#11745689—41no—
551Q8×D59—41no—
552Q8×D59—41no—
553#11745687—22no—
554#11745687—41no—
555#11745687—44no—
556D4×D59—22no—
557D4×D59—22no—
558D4×D59—22no—
559D4×D59—41no—
560D4×D59—44no—
561D4×D59—44no—
562D4×D59—44no—
563#11745685—22no—
564#11745685—41no—
565#11745685—41no—
566#11745685—41no—
567#11745685—44no—
568#11745685—44no—
569C2×D236—22no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—41no—
579C2×D236—44no—
580C2×D236C2×D411yescharacteristic
581C2×D236C2×D411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×D236C2411yescharacteristic
584C2×D236C2411yescharacteristic
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—41no—
597C2×C4×D59—41no—
598C2×C4×D59—44no—
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2×D411yescharacteristic
601C2×C4×D59C2411yescharacteristic
602C2×C4×D59C2411yescharacteristic
603C2×C4×D59C2411yescharacteristic
604C2×Dic118—21no—
605C2×Dic118C2×D411yescharacteristic
606C2×Dic118C2411yescharacteristic
607Q16×C59—41no—
608Q16×C59—41no—
609Q16×C59—41no—
610Q16×C59—41no—
611SD16×C59—22no—
612SD16×C59—22no—
613SD16×C59—41no—
614SD16×C59—41no—
615D8×C59—22no—
616C2×C8×C59—41no—
617C2×C8×C59—41no—
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C2×C8×C59C2411yescharacteristic
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59—21no—
629C4⋊C4×C59—21no—
630C4⋊C4×C59C2×D411yescharacteristic
631C4⋊C4×C59C2411yescharacteristic
632C4⋊C4×C59C2411yescharacteristic
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59C2×D411yescharacteristic
640C22⋊C4×C59C2×D411yescharacteristic
641C42×C59C2411yescharacteristic
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59C2×D411yescharacteristic
649C22⋊Dic59C2×D411yescharacteristic
650#11745672—41no—
651#11745672—41no—
652#11745671—22no—
653#11745671—22no—
654#11745671—41no—
655#11745671—41no—
656#11745671—41no—
657#11745671—41no—
658#11745670—41no—
659#11745669—22no—
660#11745669—22no—
661#11745669—41no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
684(C2×D59)⋊C4C2×D411yescharacteristic
685(C2×D59)⋊C4C2×D411yescharacteristic
686(C2×D59)⋊C4C2×D411yescharacteristic
687(C2×D59)⋊C4C2×D411yescharacteristic
688(C2×D59)⋊C4C2×D411yescharacteristic
689C4⋊Dic59—21no—
690C4⋊Dic59—21no—
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59C2×D411yescharacteristic
695C4⋊Dic59C2411yescharacteristic
696C4⋊Dic59C2411yescharacteristic
697C4⋊Dic59C2411yescharacteristic
698C4⋊Dic59C2411yescharacteristic
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4C2×D411yescharacteristic
713Dic59⋊C4C2×D411yescharacteristic
714Dic59⋊C4C2×D411yescharacteristic
715Dic59⋊C4C2×D411yescharacteristic
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59C2411yescharacteristic
722#11745664—41no—
723C2×C59⋊C8—41no—
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728D472—22no—
729D472—41no—
730#11745660—41no—
731#11745659—41no—
732C8×D59—41no—
733C8×D59—41no—
734C8×D59—41no—
735C23×C59—21no—
736C23×C59—21no—
737C23×C59C22×D411yescharacteristic
738C23×C59C22×D411yescharacteristic
739C22×D59—21no—
740C22×D59—24no—
741C22×D59—21no—
742C22×D59—21no—
743C22×D59—41no—
744C22×D59—41no—
745C22×D59—41no—
746C22×D59—42no—
747C22×D59—42no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59C22×D411yescharacteristic
755C22×D59C22×D411yescharacteristic
756C22×D59C22×D411yescharacteristic
757Q8×C59—21no—
758Q8×C59—21no—
759Q8×C59—21no—
760Q8×C59—21no—
761Q8×C59—21no—
762Q8×C59—21no—
763Q8×C59—21no—
764Q8×C59—21no—
765D4×C59—21no—
766D4×C59—21no—
767D4×C59—21no—
768D4×C59—41no—
769D4×C59—42no—
770D4×C59—42no—
771D4×C59—81no—
772D4×C59—81no—
773D4×C59H(5,𝔽2)12yes—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—42no—
785C2×C4×C59—42no—
786C2×C4×C59—81no—
787C2×C4×C59—81no—
788C2×C4×C59—81no—
789C2×C4×C59—81no—
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C22×D411yescharacteristic
793C2×C4×C59C22×D411yescharacteristic
794C2×C4×C59C2511yescharacteristic
795C22⋊D59—24no—
796C22⋊D59—41no—
797C22⋊D59—41no—
798C22⋊D59—41no—
799C22⋊D59—41no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C22⋊D59—81no—
804C22⋊D59—81no—
805C22⋊D59—81no—
806C22⋊D59—81no—
807C22⋊D59—81no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—41no—
817C2×Dic59—42no—
818C2×Dic59—81no—
819C2×Dic59—81no—
820C2×Dic59C22×D411yescharacteristic
821C2×Dic59C22×D411yescharacteristic
822C2×Dic59C22×D411yescharacteristic
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825D236—21no—
826D236—21no—
827D236—21no—
828D236—21no—
829D236—21no—
830D236—41no—
831D236—41no—
832D236—42no—
833D236—42no—
834D236—42no—
835D236—42no—
836D236—81no—
837D236—81no—
838D236—81no—
839D236—81no—
840D236H(5,𝔽2)12yes—
841C4×D59—21no—
842C4×D59—21no—
843C4×D59—21no—
844C4×D59—21no—
845C4×D59—21no—
846C4×D59—21no—
847C4×D59—41no—
848C4×D59—41no—
849C4×D59—42no—
850C4×D59—42no—
851C4×D59—42no—
852C4×D59—42no—
853C4×D59—42no—
854C4×D59—81no—
855C4×D59—81no—
856C4×D59—81no—
857C4×D59—81no—
858C4×D59—81no—
859C4×D59—81no—
860Dic118—21no—
861Dic118—21no—
862Dic118—41no—
863Dic118—42no—
864C8×C59—21no—
865C8×C59—21no—
866C8×C59—21no—
867C8×C59—21no—
868C59⋊C8—21no—
869C59⋊C8—21no—
870C59⋊C8—21no—
871C59⋊C8—21no—
872#61635—591nomaximal, Sylow
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—22no—
878C22×C59—21no—
879C22×C59—21no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59C23×D411yescharacteristic
886C2×D59—21no—
887C2×D59—21no—
888C2×D59—21no—
889C2×D59—21no—
890C2×D59—21no—
891C2×D59—21no—
892C2×D59—21no—
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—22no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—84no—
905C2×D59—82no—
906C2×D59—162no—
907C2×D59—162no—
908C4×C59—21no—
909C4×C59—21no—
910C4×C59—21no—
911C4×C59—21no—
912C4×C59—41no—
913C4×C59—41no—
914C4×C59—41no—
915C4×C59—41no—
916C4×C59—41no—
917C4×C59—41no—
918C4×C59C2×H(5,𝔽2)11yescharacteristic
919C4×C59C2×H(5,𝔽2)11yescharacteristic
920Dic59—21no—
921Dic59—21no—
922Dic59—21no—
923Dic59—21no—
924Dic59—21no—
925Dic59—41no—
926Dic59—41no—
927Dic59—41no—
928Dic59—41no—
929Dic59—41no—
930#3539—591no—
931#3485—591no—
932#3315—591no—
933#3315—591no—
934#3307—591no—
935#3307—591no—
936#3297—591no—
937#3297—591no—
938#3296—591no—
939#3296—591no—
940#3284—591no—
941#3284—591no—
942#3283—591no—
943#3283D5911yescharacteristic, complemented
944#3268—591no—
945#3268—591no—
946#3267—591no—
947#3267—591no—
948#3223—591no—
949#3221—591no—
950#3201—591no—
951#3201—591no—
952#3191—591no—
953#3191—591no—
954#3123—591no—
955#3122—591no—
956#3012—591no—
957#3012—591no—
958#3002—591no—
959#3002—591no—
960#2977—591no—
961C2×C59—42no—
962C2×C59—41no—
963C2×C59—41no—
964C2×C59—81no—
965C2×C59#348411yescharacteristic
966C2×C59#358411yescharacteristic
967C2×C59#358411yescharacteristic
968D59—41no—
969D59—41no—
970D59—41no—
971D59—42no—
972D59—81no—
973D59—81no—
974C2×H(5,𝔽2)—591no—
975C22×#41—591no—
976C2×AGL(1,ℤ/8)—591no—
977C2×AGL(1,ℤ/8)—591no—
978C2×#135—591no—
979C2×#135—591no—
980C2×#135—591no—
981C2×#135—591no—
982C2×#135C2×D5911yescharacteristic, complemented
983C2×#135C2×D5911yescharacteristic, complemented
984#560—1181no—
985#560—1181no—
986#553—591no—
987#553—591no—
988#553—1181no—
989#553—1181no—
990#552—591no—
991#552—591no—
992#550—591no—
993#550—591no—
994#547—591no—
995#547—591no—
996#547—591no—
997#547—591no—
998#547—1181no—
999#547—1181no—
1000#547C2×D5911yescharacteristic
1001#547C2×D5911yescharacteristic, complemented
1002#546—591no—
1003#546—591no—
1004#546—591no—
1005#546—591no—
1006#546—1181no—
1007#546—1181no—
1008#541—591no—
1009#540—591no—
1010#540—1181no—
1011#540—1181no—
1012#539—1181no—
1013#539—1181no—
1014#537—591no—
1015#537—591no—
1016#536—591no—
1017#536—591no—
1018#534—1181no—
1019#534—1181no—
1020#525—591no—
1021#525—591no—
1022#525—591no—
1023#525—591no—
1024C2×#123—1181no—
1025C2×#123—1181no—
1026#518—591no—
1027#497—591no—
1028#496—591no—
1029#494C2×D5911yescharacteristic, complemented
1030#492—591no—
1031#491—591no—
1032#491—591no—
1033#488—591no—
1034#488—591no—
1035#485—591no—
1036#485—591no—
1037#485—591no—
1038#485—591no—
1039#484—591no—
1040#484—591no—
1041#483—591no—
1042#483—591no—
1043#482—591no—
1044#482—591no—
1045#482—591no—
1046#482—591no—
1047#478—591no—
1048#478—591no—
1049#478—591no—
1050#478—591no—
1051#470—591no—
1052#470—591no—
1053#468—591no—
1054#468—591no—
1055#467—591no—
1056#467—591no—
1057#467C2×D5911yescharacteristic, complemented
1058#467C2×D5911yescharacteristic, complemented
1059#466—591no—
1060#466—591no—
1061#465—591no—
1062#465—591no—
1063#465—591no—
1064#465—591no—
1065#465—591no—
1066#465—591no—
1067#464—591no—
1068#464—591no—
1069#463—591no—
1070#463—591no—
1071#462—591no—
1072#462—591no—
1073#461—591no—
1074#461—591no—
1075#461C2×D5911yescharacteristic, complemented
1076#461C2×D5911yescharacteristic, complemented
1077#459—591no—
1078#459—591no—
1079#452—591no—
1080#452—591no—
1081#452—591no—
1082#452—591no—
1083#452—591no—
1084#452—591no—
1085#452—591no—
1086#452—591no—
1087#452—591no—
1088#452—591no—
1089#452C2×D5911yescharacteristic, complemented
1090#452C2×D5911yescharacteristic, complemented
1091#452C2×D5911yescharacteristic, complemented
1092#452C2×D5911yescharacteristic, complemented
1093#451—591no—
1094#451—591no—
1095#450—591no—
1096#450—591no—
1097#450—591no—
1098#450—591no—
1099#449—591no—
1100#449—591no—
1101#449—591no—
1102#449—591no—
1103#449—591no—
1104#449—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#448—591no—
1110#448—591no—
1111#447—591no—
1112#447—591no—
1113#447—591no—
1114#447—591no—
1115#442—591no—
1116#442—591no—
1117#440—591no—
1118#440—591no—
1119C4×SD16—591no—
1120C4×SD16—591no—
1121C4×D8—591no—
1122C4×D8C2×D5911yescharacteristic, complemented
1123#435—591no—
1124#435—591no—
1125#435—591no—
1126#435—591no—
1127C8×D4—591no—
1128C8×D4—591no—
1129C8×D4—591no—
1130C8×D4C2×D5911yescharacteristic, complemented
1131#433—591no—
1132#433—591no—
1133#417—591no—
1134#417—591no—
1135#416—591no—
1136#416—591no—
1137#416—591no—
1138#416—591no—
1139C2×#102—591no—
1140C2×#102—591no—
1141#408—591no—
1142#408—591no—
1143C2×C22⋊C8—591no—
1144C2×C22⋊C8—591no—
1145C59#6163511yescharacteristic, complemented, Sylow
1146H(5,𝔽2)—2362no—
1147H(5,𝔽2)—2362no—
1148C2×#41—591no—
1149C2×#41—591no—
1150C2×#41—591no—
1151C2×#41—591no—
1152C2×#41—591no—
1153C2×#41—591no—
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—1181no—
1157C2×#41—1181no—
1158C2×#41—1181no—
1159C2×#41—2362no—
1160C2×#41—2362no—
1161C2×#41C22×D5911yescharacteristic
1162C2×#41C22×D5911yescharacteristic
1163C2×#41C22×D5911yescharacteristic
1164C2×#41C22×D5911yescharacteristic
1165C22×Q8—591no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—591no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C23×C4—591no—
1174C23×C4—1181no—
1175AGL(1,ℤ/8)—2362no—
1176AGL(1,ℤ/8)—2362no—
1177#135—42no—
1178#135—42no—
1179#135—2362no—
1180#135—2362no—
1181#135—2362no—
1182#135—2362no—
1183C2×Q16—591no—
1184C2×Q16—591no—
1185C2×Q16C22×D5911yescharacteristic
1186C2×Q16C22×D5911yescharacteristic
1187C2×Q16C22×D5911yescharacteristic
1188C2×Q16C22×D5911yescharacteristic
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—591no—
1195C2×SD16—591no—
1196C2×SD16—591no—
1197C2×SD16C22×D5911yescharacteristic
1198C2×SD16C22×D5911yescharacteristic
1199C2×SD16C22×D5911yescharacteristic
1200C2×SD16C22×D5911yescharacteristic
1201C2×D8—591no—
1202C2×D8—591no—
1203C2×D8—591no—
1204C2×D8—591no—
1205C2×D8—591no—
1206C2×D8C22×D5911yescharacteristic
1207C2×M16—591no—
1208C2×M16—591no—
1209C22×C8—591no—
1210C22×C8—591no—
1211C22×C8—591no—
1212C22×C8—591no—
1213C22×C8C22×D5911yescharacteristic
1214C22×C8C22×D5911yescharacteristic
1215C4⋊Q8—591no—
1216C4⋊Q8—1181no—
1217C4⋊Q8C22×D5911yescharacteristic
1218C4⋊Q8C22×D5911yescharacteristic
1219#127—591no—
1220#127—1181no—
1221#127—1181no—
1222#126—1181no—
1223#126—1181no—
1224#126—1181no—
1225#126—1181no—
1226#126—1181no—
1227#126—1181no—
1228#125—591no—
1229#125—591no—
1230#125—1181no—
1231#125—1181no—
1232#125—1181no—
1233#125—1181no—
1234#124—591no—
1235#124—591no—
1236#124—1181no—
1237#123—21no—
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—591no—
1242#123—591no—
1243#123—1181no—
1244#123—1181no—
1245#123—1181no—
1246#123—1181no—
1247#123—1181no—
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268C22⋊Q8—591no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—591no—
1275C22⋊Q8—591no—
1276C22⋊Q8—591no—
1277C22⋊Q8—591no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8—1181no—
1282C22⋊Q8C22×D5911yescharacteristic
1283C22⋊Q8C22×D5911yescharacteristic
1284C22⋊Q8C22×D5911yescharacteristic
1285C22⋊Q8C22×D5911yescharacteristic
1286#121—21no—
1287#121—21no—
1288#121—591no—
1289#121—591no—
1290#121—591no—
1291#121—591no—
1292#121—591no—
1293#121—591no—
1294#121—591no—
1295#121—591no—
1296#121—591no—
1297#121—591no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#120—591no—
1321#120—591no—
1322#120—1181no—
1323#120—1181no—
1324#120—1181no—
1325#120—1181no—
1326#120—1181no—
1327#120—1181no—
1328#120—1181no—
1329C4×Q8—591no—
1330C4×Q8—591no—
1331C4×D4—591no—
1332C4×D4—591no—
1333C4×D4—591no—
1334C4×D4—591no—
1335C4×D4—591no—
1336C4×D4—591no—
1337C4×D4—591no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4C22×D5911yescharacteristic
1351C4×D4C22×D5911yescharacteristic
1352C4×D4C22×D5911yescharacteristic
1353#117—591no—
1354#117—591no—
1355#117—591no—
1356#117—591no—
1357#117—1181no—
1358#117—1181no—
1359C2×C4⋊C4—21no—
1360C2×C4⋊C4—21no—
1361C2×C4⋊C4—591no—
1362C2×C4⋊C4—591no—
1363C2×C4⋊C4—1181no—
1364C2×C4⋊C4—1181no—
1365C2×C4⋊C4—1181no—
1366C2×C4⋊C4—1181no—
1367C2×C22⋊C4—1181no—
1368C2×C22⋊C4—1181no—
1369C2×C22⋊C4—1181no—
1370C2×C22⋊C4—1181no—
1371C2×C22⋊C4—1181no—
1372C2×C22⋊C4—1181no—
1373#107—591no—
1374#107—591no—
1375#107—591no—
1376#107C22×D5911yescharacteristic
1377#106—591no—
1378#106—591no—
1379#106—591no—
1380#106—591no—
1381C4⋊C8—591no—
1382C4⋊C8—591no—
1383C4⋊C8—591no—
1384C4⋊C8C22×D5911yescharacteristic
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103C22×D5911yescharacteristic
1398#103C22×D5911yescharacteristic
1399#103C22×D5911yescharacteristic
1400#103C22×D5911yescharacteristic
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102C22×D5911yescharacteristic
1416#102C22×D5911yescharacteristic
1417C22⋊C8—591no—
1418C22⋊C8—591no—
1419C22⋊C8—591no—
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8—591no—
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8C22×D5911yescharacteristic
1428C22⋊C8C22×D5911yescharacteristic
1429#97—591no—
1430#97—591no—
1431C4×C8—591no—
1432C4×C8C22×D5911yescharacteristic
1433C24—591no—
1434C24—1181no—
1435C24—1181no—
1436C24—1181no—
1437#41—22no—
1438#41—22no—
1439#41—41no—
1440#41—41no—
1441#41—41no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—1182no—
1446#41—1182no—
1447#41—1182no—
1448#41—1182no—
1449#41—2361no—
1450#41—2361no—
1451#41—2361no—
1452#41—2364no—
1453#41—2364no—
1454#41—2361no—
1455#41—2361no—
1456#41—2361no—
1457#41—2361no—
1458#41—2361no—
1459#41—2361no—
1460#41—2361no—
1461#41—2361no—
1462#41—2361no—
1463#41—2364no—
1464C2×Q8—591no—
1465C2×Q8—591no—
1466C2×Q8—1181no—
1467C2×Q8—2361no—
1468C2×Q8—2361no—
1469C2×Q8C23×D5911yescharacteristic
1470C2×Q8C23×D5911yescharacteristic
1471C2×Q8C23×D5911yescharacteristic
1472C2×Q8C23×D5911yescharacteristic
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—591no—
1478C2×D4—591no—
1479C2×D4—591no—
1480C2×D4—591no—
1481C2×D4—591no—
1482C2×D4—591no—
1483C2×D4—591no—
1484C2×D4—591no—
1485C2×D4—591no—
1486C2×D4—1182no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1182no—
1499C2×D4—1182no—
1500C2×D4—1182no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—2361no—
1511C2×D4—2364no—
1512C2×D4—2361no—
1513C2×D4—2364no—
1514C2×D4—2364no—
1515C2×D4—2364no—
1516C2×D4D4×D5911yescharacteristic
1517C2×D4C23×D5911yescharacteristic
1518C2×D4C23×D5911yescharacteristic
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—591no—
1526C22×C4—591no—
1527C22×C4—591no—
1528C22×C4—591no—
1529C22×C4—591no—
1530C22×C4—591no—
1531C22×C4—1181no—
1532C22×C4—1181no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—2361no—
1546C22×C4—2361no—
1547C22×C4—2364no—
1548C22×C4C23×D5911yescharacteristic
1549C22×C4C23×D5911yescharacteristic
1550Q16—41no—
1551Q16—41no—
1552Q16—41no—
1553Q16—41no—
1554Q16—2361no—
1555Q16—2361no—
1556SD16—22no—
1557SD16—22no—
1558SD16—41no—
1559SD16—41no—
1560SD16—1182no—
1561SD16—1182no—
1562SD16—2361no—
1563SD16—2361no—
1564SD16—2361no—
1565SD16—2361no—
1566SD16—2361no—
1567SD16—2361no—
1568D8—22no—
1569D8—1182no—
1570D8—1182no—
1571D8—1182no—
1572D8—2361no—
1573D8—2361no—
1574M16—2361no—
1575M16—2361no—
1576C2×C8—41no—
1577C2×C8—41no—
1578C2×C8—591no—
1579C2×C8—591no—
1580C2×C8—591no—
1581C2×C8—591no—
1582C2×C8—2361no—
1583C2×C8—2361no—
1584C2×C8—2361no—
1585C2×C8—2361no—
1586C2×C8C23×D5911yescharacteristic
1587C2×C8C23×D5911yescharacteristic
1588C2×C8C23×D5911yescharacteristic
1589C2×C8C23×D5911yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—591no—
1599C4⋊C4—591no—
1600C4⋊C4—591no—
1601C4⋊C4—591no—
1602C4⋊C4—591no—
1603C4⋊C4—591no—
1604C4⋊C4—591no—
1605C4⋊C4—591no—
1606C4⋊C4—591no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4D4×D5911yescharacteristic
1626C4⋊C4C23×D5911yescharacteristic
1627C4⋊C4C23×D5911yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—591no—
1635C22⋊C4—591no—
1636C22⋊C4—591no—
1637C22⋊C4—591no—
1638C22⋊C4—591no—
1639C22⋊C4—591no—
1640C22⋊C4—591no—
1641C22⋊C4—591no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4D4×D5911yescharacteristic
1670C22⋊C4D4×D5911yescharacteristic
1671C42—591no—
1672C42—1181no—
1673C42—1181no—
1674C42—1181no—
1675C42—1181no—
1676C42—1181no—
1677C42C23×D5911yescharacteristic
1678C23—21no—
1679C23—21no—
1680C23—591no—
1681C23—591no—
1682C23—591no—
1683C23—1184no—
1684C23—1181no—
1685C23—1181no—
1686C23—1181no—
1687C23—4721no—
1688C23—4721no—
1689C23—4721no—
1690C23—4721no—
1691C23—4721no—
1692C23—4721no—
1693C23—2361no—
1694C23—2361no—
1695C23—2361no—
1696C23—2362no—
1697C23—2362no—
1698C23C2×D4×D5911yescharacteristic
1699C23C2×D4×D5911yescharacteristic
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—1181no—
1709Q8—1181no—
1710Q8—2361no—
1711Q8—2362no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—41no—
1716D4—42no—
1717D4—42no—
1718D4—81no—
1719D4—81no—
1720D4—592no—
1721D4—1184no—
1722D4—1181no—
1723D4—1181no—
1724D4—1181no—
1725D4—1181no—
1726D4—1181no—
1727D4—4721no—
1728D4—4721no—
1729D4—4721no—
1730D4—4721no—
1731D4—4721no—
1732D4—4721no—
1733D4—4721no—
1734D4—4721no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—2361no—
1740D4—2361no—
1741D4—2362no—
1742D4—2362no—
1743D4—2362no—
1744D4—2362no—
1745D4—2361no—
1746D4—2361no—
1747D4—2361no—
1748D4—2361no—
1749D4—2362no—
1750D4—2362no—
1751D4—2362no—
1752D4#1427377212yes—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—81no—
1768C2×C4—81no—
1769C2×C4—591no—
1770C2×C4—591no—
1771C2×C4—591no—
1772C2×C4—591no—
1773C2×C4—591no—
1774C2×C4—1181no—
1775C2×C4—1181no—
1776C2×C4—1181no—
1777C2×C4—1181no—
1778C2×C4—1181no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—1181no—
1784C2×C4—1181no—
1785C2×C4—4721no—
1786C2×C4—4721no—
1787C2×C4—4721no—
1788C2×C4—4721no—
1789C2×C4—4721no—
1790C2×C4—4721no—
1791C2×C4—4721no—
1792C2×C4—4721no—
1793C2×C4—2361no—
1794C2×C4—2361no—
1795C2×C4—2362no—
1796C2×C4—2362no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2361no—
1801C2×C4—2362no—
1802C2×C4C2×D4×D5911yescharacteristic
1803C2×C4C2×D4×D5911yescharacteristic
1804C2×C4C2×D4×D5911yescharacteristic
1805C2×C4C2×D4×D5911yescharacteristic
1806C2×C4C24×D5911yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—1181no—
1812C8—1181no—
1813C8—1181no—
1814C8—1181no—
1815C22—21no—
1816C22—21no—
1817C22—22no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—1181no—
1828C22—1181no—
1829C22—1181no—
1830C22—1182no—
1831C22—1181no—
1832C22—1181no—
1833C22—1181no—
1834C22—1181no—
1835C22—1181no—
1836C22—1181no—
1837C22—9442no—
1838C22—9442no—
1839C22—4724no—
1840C22—4722no—
1841C22—2361no—
1842C22—2361no—
1843C22—2361no—
1844C22—2361no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22C22×D4×D5911yescharacteristic
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—21no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—1181no—
1861C4—1181no—
1862C4—1181no—
1863C4—1181no—
1864C4—1181no—
1865C4—2361no—
1866C4—2361no—
1867C4—2361no—
1868C4—2361no—
1869C4—2361no—
1870C4H(5,𝔽2)×D5911yescharacteristic
1871C4C2×#1427377211yescharacteristic
1872C2—41no—
1873C2—41no—
1874C2—42no—
1875C2—81no—
1876C2—4721no—
1877C2—4721no—
1878C2—2361no—
1879C2—2361no—
1880C2—2361no—
1881C2—2362no—
1882C2#2143772411yescharacteristic
1883C2#2143886511yescharacteristic
1884C2#2143886611yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3283C2
socleC22×C59C23×D4
hypercenter#3283D59
hypocenterC59#61635
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3283

Complements

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

NH ≅ G/Ntype
1. #21438351C2semidirect
2. #21437735C2semidirect
3. #21436198C2semidirect
4. #21436185C2semidirect
5. #21436079C2semidirect
6. #21436072C2semidirect
7. #21435951C2semidirect
8. #21435948C2semidirect
9. #21435937C2semidirect
10. #21435924C2semidirect
11. #21435820C2semidirect
12. #21435819C2semidirect
13. #21435816C2semidirect
14. #21435639C2semidirect
15. #21435636C2semidirect
16. #21435627C2semidirect
17. #21435622C2semidirect
18. #21435172C2semidirect
19. #21435156C2semidirect
20. #21434981C2semidirect
21. #21434977C2semidirect
22. #21434890C2semidirect
23. #21434888C2semidirect
24. #21434346C2semidirect
25. #21434336C2semidirect
26. #21433404C2semidirect
27. #21433396C2semidirect
28. #21433317C2semidirect
29. #21433310C2semidirect
30. #21433149C2semidirect
31. C59×#3283C2semidirect
34. C2×#14273754C22semidirect
35. C2×#14273752C22semidirect
36. C2×#14273750C22semidirect
37. C2×#14273750C22semidirect
38. C2×#14273748C22semidirect
39. C2×#14273747C22semidirect
42. #16838102C22semidirect
44. #16838098C22semidirect
46. #16838094C22semidirect
47. #16838086C22semidirect
48. #16838071C22semidirect
49. #16838071C22semidirect
51. #16838055C22semidirect
62. #16838013C22semidirect
64. #16838003C22semidirect
75. #16837915C22semidirect
77. #16837909C22semidirect
81. #16837794C22semidirect
82. #16837788C22semidirect
83. #16837773C22semidirect
84. #16837770C22semidirect
85. #16837769C22semidirect
86. #16837758C22semidirect
87. #16837757C22semidirect
88. #16837742C22semidirect
89. #16837742C22semidirect
90. #16837741C22semidirect
91. #16837740C22semidirect
92. #16837739C22semidirect
93. #16837738C22semidirect
94. #16837731C22semidirect
95. #16837730C22semidirect
96. #16837729C22semidirect
97. #16837729C22semidirect
98. #16837727C22semidirect
99. #16837724C22semidirect
100. #16837705C22semidirect
101. #16837703C22semidirect
102. #16837702C22semidirect
103. #16837700C22semidirect
104. #16837659C22semidirect
105. #16837658C22semidirect
106. #16837650C22semidirect
107. #16837645C22semidirect
108. #16837640C22semidirect
109. #16837640C22semidirect
110. #16837638C22semidirect
111. #16837637C22semidirect
112. #16837634C22semidirect
113. #16837633C22semidirect
114. #16837633C22semidirect
115. #16837631C22semidirect
116. #16837630C22semidirect
117. #16837628C22semidirect
118. #16837626C22semidirect
119. #16837626C22semidirect
120. #16837618C22semidirect
121. #16837617C22semidirect
122. #16837610C22semidirect
123. #16837610C22semidirect
124. #16837604C22semidirect
125. #16837604C22semidirect
126. #16837596C22semidirect
127. #16837595C22semidirect
128. #16837567C22semidirect
129. #16837564C22semidirect
132. #16837563C22semidirect
133. #16837563C22semidirect
134. #16837563C22semidirect
135. #16837563C22semidirect
136. #16837562C22semidirect
137. #16837561C22semidirect
138. #16837556C22semidirect
139. #16837556C22semidirect
140. #16837552C22semidirect
143. #16837551C22semidirect
145. #16837550C22semidirect
146. #16837549C22semidirect
147. #16837547C22semidirect
148. #16837547C22semidirect
149. #16837547C22semidirect
151. #16837546C22semidirect
152. #16837546C22semidirect
153. #16837544C22semidirect
154. #16837542C22semidirect
155. #16837539C22semidirect
156. #16837538C22semidirect
159. #16837534C22semidirect
160. #16837512C22semidirect
161. #16837512C22semidirect
162. #16837505C22semidirect
163. #16837503C22semidirect
164. SD16×Dic59C22semidirect
165. #16837487C22semidirect
166. C4×D472C22semidirect
167. #16837476C22semidirect
168. #16837474C22semidirect
169. #16837473C22semidirect
170. #16837472C22semidirect
171. C8×D236C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837462C22semidirect
175. #16837461C22semidirect
176. #16837403C22semidirect
177. #16837402C22semidirect
178. #16837399C22semidirect
179. #16837398C22semidirect
180. #16837397C22semidirect
181. #16837395C22semidirect
182. C2×#14273649C22semidirect
183. #102×D59C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C2×#135×C59C22semidirect
189. C2×#135×C59C22semidirect
191. C59×#547C22semidirect
192. C59×#494C22semidirect
193. C59×#467C22semidirect
194. C59×#467C22semidirect
195. C59×#461C22semidirect
196. C59×#461C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C59×#452C22semidirect
200. C59×#452C22semidirect
201. C4×D8×C59C22semidirect
202. C8×D4×C59C22semidirect
943. #3283D59semidirect
982. C2×#135C2×D59semidirect
983. C2×#135C2×D59semidirect
1001. #547C2×D59semidirect
1029. #494C2×D59semidirect
1057. #467C2×D59semidirect
1058. #467C2×D59semidirect
1075. #461C2×D59semidirect
1076. #461C2×D59semidirect
1089. #452C2×D59semidirect
1090. #452C2×D59semidirect
1091. #452C2×D59semidirect
1092. #452C2×D59semidirect
1122. C4×D8C2×D59semidirect
1130. C8×D4C2×D59semidirect
1145. C59#61635semidirect

Maximal subgroups

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

subgroupindex
#214383512
#214377352
#214361982
#214361852
#214360792
#214360722
#214359512
#214359482
#214359372
#214359242
#214358202
#214358192
#214358162
#214356392
#214356362
#214356272
#214356222
#214351722
#214351562
#214349812
#214349772
#214348902
#214348882
#214343462
#214343362
#214334042
#214333962
#214333172
#214333102
#214331492
C59×#32832
#6163559