Finite Group Databasebeta

← #29474612

Subgroups — #29474612

Order 15104.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438321C211yesmaximal, characteristic, complemented
2#21437766C211yesmaximal, characteristic, complemented
3#21436436C211yesmaximal, characteristic, complemented
4#21436431C211yesmaximal, characteristic, complemented
5#21436182C211yesmaximal, characteristic, complemented
6#21436174C211yesmaximal, characteristic, complemented
7#21436092C211yesmaximal, characteristic, complemented
8#21436084C211yesmaximal, characteristic, complemented
9#21435911C211yesmaximal, characteristic, complemented
10#21435906C211yesmaximal, characteristic, complemented
11#21435838C211yesmaximal, characteristic, complemented
12#21435832C211yesmaximal, characteristic, complemented
13#21435706C211yesmaximal, characteristic, complemented
14#21435702C211yesmaximal, characteristic, complemented
15#21435638C211yesmaximal, characteristic, complemented
16#21435631C211yesmaximal, characteristic, complemented
17#21435597C211yesmaximal, characteristic, complemented
18#21435593C211yesmaximal, characteristic, complemented
19#21435192C211yesmaximal, characteristic, complemented
20#21435184C211yesmaximal, characteristic, complemented
21#21435000C211yesmaximal, characteristic, complemented
22#21434996C211yesmaximal, characteristic, complemented
23#21434901C211yesmaximal, characteristic, complemented
24#21434846C211yesmaximal, characteristic, complemented
25#21434358C211yesmaximal, characteristic, complemented
26#21433404C211yesmaximal, characteristic, complemented
27#21433398C211yesmaximal, characteristic, complemented
28#21433345C211yesmaximal, characteristic, complemented
29#452×D59C211yesmaximal, characteristic, complemented
30#21433142C211yesmaximal, characteristic, complemented
31C59×#3124C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273750C2211yescharacteristic, complemented
39C2×#14273748C2211yescharacteristic, complemented
40C2×Q16×D59C2211yescharacteristic, complemented
41C2×SD16×D59C2211yescharacteristic, complemented
42#16838149—21no—
43#16838146—21no—
44#16838113C2211yescharacteristic, complemented
45#16838112C2211yescharacteristic, complemented
46#16838074C2211yescharacteristic
47#16838074C2211yescharacteristic
48#16838064C2211yescharacteristic, complemented
49#16838064C2211yescharacteristic, complemented
50#16838064C2211yescharacteristic, complemented
51#16838060C2211yescharacteristic, complemented
52#16838057C2211yescharacteristic, complemented
53#16838055C2211yescharacteristic, complemented
54#16838047—21no—
55#16838047—21no—
56#16838047C2211yescharacteristic
57#16838047C2211yescharacteristic
58#16838047C2211yescharacteristic, complemented
59#16838045—21no—
60#16838045C2211yescharacteristic, complemented
61#16838044—21no—
62D4×D236—21no—
63D4×D236—21no—
64D4×D236C2211yescharacteristic, complemented
65D4×D236C2211yescharacteristic, complemented
66#16838027—21no—
67#16838023C2211yescharacteristic, complemented
68#16837993—21no—
69#16837991—21no—
70#16837983—21no—
71#16837983C2211yescharacteristic, complemented
72#16837982—21no—
73#16837982C2211yescharacteristic, complemented
74#16837981C2211yescharacteristic, complemented
75#16837971—21no—
76#16837971C2211yescharacteristic, complemented
77#16837914—21no—
78#16837914C2211yescharacteristic
79C22⋊Q8×D59C2211yescharacteristic, complemented
80C2×#14273702—21no—
81C2×#14273702C2211yescharacteristic
82#121×D59C2211yescharacteristic, complemented
83#16837792C2211yescharacteristic, complemented
84#16837791C2211yescharacteristic, complemented
85#16837786C2211yescharacteristic, complemented
86#16837784C2211yescharacteristic, complemented
87#16837764C2211yescharacteristic, complemented
88#16837762C2211yescharacteristic, complemented
89#16837750C2211yescharacteristic, complemented
90#16837749C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837737C2211yescharacteristic, complemented
94#16837717C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837715C2211yescharacteristic, complemented
101#16837697C2211yescharacteristic, complemented
102#16837682C2211yescharacteristic, complemented
103#16837651C2211yescharacteristic, complemented
104#16837651C2211yescharacteristic, complemented
105#16837651C2211yescharacteristic, complemented
106#16837649C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837644C2211yescharacteristic, complemented
112#16837642C2211yescharacteristic, complemented
113#16837639C2211yescharacteristic, complemented
114#16837639C2211yescharacteristic, complemented
115#16837639C2211yescharacteristic, complemented
116#16837637C2211yescharacteristic, complemented
117#16837637C2211yescharacteristic, complemented
118#16837637C2211yescharacteristic, complemented
119#16837625C2211yescharacteristic, complemented
120#16837624C2211yescharacteristic, complemented
121#16837624C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic, complemented
124#16837617C2211yescharacteristic, complemented
125#16837603C2211yescharacteristic, complemented
126#16837602C2211yescharacteristic, complemented
127#16837598C2211yescharacteristic, complemented
128#16837597C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837567C2211yescharacteristic, complemented
132#16837566C2211yescharacteristic, complemented
133#16837565C2211yescharacteristic, complemented
134#16837565C2211yescharacteristic, complemented
135#16837564C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic, complemented
137#16837563C2211yescharacteristic, complemented
138#16837562C2211yescharacteristic, complemented
139#16837561C2211yescharacteristic, complemented
140#16837555C2211yescharacteristic, complemented
141#16837554C2211yescharacteristic, complemented
142#16837552C2211yescharacteristic, complemented
143#16837551C2211yescharacteristic, complemented
144#16837550C2211yescharacteristic, complemented
145#16837550C2211yescharacteristic, complemented
146#16837549C2211yescharacteristic, complemented
147#16837548C2211yescharacteristic, complemented
148#16837547C2211yescharacteristic
149#16837546C2211yescharacteristic, complemented
150#16837545C2211yescharacteristic, complemented
151#16837542C2211yescharacteristic, complemented
152#16837542C2211yescharacteristic, complemented
153#16837542C2211yescharacteristic, complemented
154#16837539C2211yescharacteristic, complemented
155#16837538C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic, complemented
160#16837535C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837534C2211yescharacteristic, complemented
163#16837502C2211yescharacteristic, complemented
164#16837500C2211yescharacteristic, complemented
165C4×#11745672C2211yescharacteristic, complemented
166C4×#11745669C2211yescharacteristic, complemented
167#16837481C2211yescharacteristic, complemented
168#16837479C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837475C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172#16837472C2211yescharacteristic, complemented
173C8×D236C2211yescharacteristic, complemented
174#16837467C2211yescharacteristic, complemented
175#16837463C2211yescharacteristic, complemented
176#16837402C2211yescharacteristic, complemented
177#16837402C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#103×D59C2211yescharacteristic, complemented
181#102×D59C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837367C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic, complemented
189C59×#520C2211yescharacteristic, complemented
190C59×#484C2211yescharacteristic, complemented
191C59×#480C2211yescharacteristic, complemented
192C59×#477C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#452C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C59×#440C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C4×Q16×C59C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745685—21no—
211C2×#11745685—21no—
212C2×#11745685—21no—
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745687—21no—
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218#41×D59—42no—
219#41×D59—42no—
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C22×D236—21no—
223C22×D236—21no—
224C22×D236—21no—
225C22×D236—21no—
226C22×D236C2311yescharacteristic
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59—21no—
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C2×D4×D59C2311yescharacteristic
235C22×C4×D59—21no—
236C22×C4×D59C2311yescharacteristic
237#14273754—42no—
238#14273754—42no—
239#14273751—42no—
240#14273751—42no—
241#14273750—42no—
242#14273748—42no—
243C2×Dic236C2311yescharacteristic
244C2×#11745672C2311yescharacteristic
245C2×#11745672C2311yescharacteristic
246Q16×D59—42no—
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745660C2311yescharacteristic
250C2×#11745660C2311yescharacteristic
251C2×#11745670C2311yescharacteristic
252C2×#11745670C2311yescharacteristic
253C2×#11745671C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255C2×#11745671C2311yescharacteristic
256C2×#11745671C2311yescharacteristic
257SD16×D59—42no—
258C2×D472C2311yescharacteristic
259C2×D472C2311yescharacteristic
260C2×D472C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264C2×#11745669C2311yescharacteristic
265C2×#11745659C2311yescharacteristic
266C2×#11745659C2311yescharacteristic
267C2×#11745659C2311yescharacteristic
268C2×#11745659C2311yescharacteristic
269C2×C8×D59C2311yescharacteristic
270C2×C8×D59C2311yescharacteristic
271C2×C8×D59C2311yescharacteristic
272C2×C8×D59C2311yescharacteristic
273#14273727C2311yescharacteristic
274#14273724—21no—
275#14273724—21no—
276#14273724C2311yescharacteristic
277#14273724C2311yescharacteristic
278#14273722—21no—
279#14273719—21no—
280#14273718—21no—
281#14273715—21no—
282#14273715—21no—
283#14273715—21no—
284#14273715C2311yescharacteristic
285#14273715C2311yescharacteristic
286#14273715C2311yescharacteristic
287#14273713—21no—
288#14273713—21no—
289#14273712—21no—
290#14273712—21no—
291#14273711—21no—
292#14273711—21no—
293#14273711—21no—
294#14273711D411yescharacteristic
295#14273711D411yescharacteristic
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709—21no—
300#14273707—21no—
301#14273707—21no—
302#14273707—21no—
303#14273707—21no—
304#14273707D411yescharacteristic
305#14273707D411yescharacteristic
306#14273707C2311yescharacteristic
307#14273707C2311yescharacteristic
308#14273707C2311yescharacteristic
309#14273707C2311yescharacteristic
310#14273706—21no—
311#14273706C2311yescharacteristic
312#14273705—21no—
313#14273705—21no—
314#14273705—21no—
315#14273705—21no—
316#14273705—21no—
317#14273704—21no—
318#14273704—21no—
319#14273704—21no—
320#14273703—21no—
321#14273703—21no—
322#14273703—21no—
323#14273703C2311yescharacteristic
324#14273703C2311yescharacteristic
325#14273702—21no—
326#14273702—21no—
327#14273702—21no—
328#14273702—21no—
329#14273702—21no—
330#14273702—21no—
331#14273702—21no—
332#14273702—21no—
333#14273702—21no—
334#14273702—21no—
335#14273702—21no—
336#14273702—21no—
337#14273702—21no—
338#14273702D411yescharacteristic
339#14273702D411yescharacteristic
340#14273702C2311yescharacteristic
341#14273702C2311yescharacteristic
342#14273702C2311yescharacteristic
343#14273702C2311yescharacteristic
344#14273702C2311yescharacteristic
345#14273702C2311yescharacteristic
346#14273702C2311yescharacteristic
347#14273702C2311yescharacteristic
348#14273701—21no—
349#14273701—21no—
350#14273701—21no—
351#14273701—21no—
352#14273701—21no—
353#14273701—21no—
354#14273701—21no—
355#14273701C2311yescharacteristic
356#14273700—21no—
357#14273700—21no—
358#14273700—21no—
359#14273700—21no—
360#14273700—21no—
361#14273700—21no—
362#14273699—21no—
363#14273699—21no—
364#14273698—21no—
365#14273698C2311yescharacteristic
366#14273698C2311yescharacteristic
367#14273697—21no—
368#14273697—21no—
369#14273697—21no—
370#14273697—21no—
371#14273697—21no—
372#14273697—21no—
373#14273697—21no—
374#14273697—21no—
375#14273697—21no—
376#14273697—21no—
377#14273697D411yescharacteristic
378#14273697D411yescharacteristic
379C4×Dic118C2311yescharacteristic
380C4×D236—21no—
381C4×D236—21no—
382C4×D236—21no—
383C4×D236—21no—
384C4×D236—21no—
385C4×D236—21no—
386C4×D236C2311yescharacteristic
387C4×D236C2311yescharacteristic
388C4×D236C2311yescharacteristic
389C4×D236C2311yescharacteristic
390C4×D236C2311yescharacteristic
391#14273689—21no—
392(C22⋊D59)⋊C4—21no—
393C4⋊C4×D59—21no—
394C4⋊C4×D59C2311yescharacteristic
395C4⋊C4×D59C2311yescharacteristic
396C4⋊C4×D59C2311yescharacteristic
397C4⋊C4×D59C2311yescharacteristic
398C2×(C2×D59)⋊C4—21no—
399C2×(C2×D59)⋊C4—21no—
400C2×(C2×D59)⋊C4—21no—
401C2×(C2×D59)⋊C4—21no—
402C22⋊C4×D59—21no—
403C22⋊C4×D59—21no—
404C22⋊C4×D59—21no—
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407#14273660C2311yescharacteristic
408#14273660C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410C4⋊(C59⋊C8)C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444(C2×D59)⋊C8C2311yescharacteristic
445#14273638C2311yescharacteristic
446C4×C59⋊C8C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×Q16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453#126×C59—21no—
454#124×C59—21no—
455#124×C59C2311yescharacteristic
456#123×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460C4×Q8×C59C2311yescharacteristic
461C4×Q8×C59C2311yescharacteristic
462C4×Q8×C59C2311yescharacteristic
463C4×D4×C59—21no—
464C4×D4×C59—21no—
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59C2311yescharacteristic
470C2×C4⋊C4×C59—21no—
471C2×C4⋊C4×C59C2311yescharacteristic
472#107×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477C4⋊C8×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488#97×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59C2×D411yescharacteristic
496#41×C59—22no—
497#41×C59—22no—
498C2×Q8×C59—21no—
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59C2411yescharacteristic
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59C2×D411yescharacteristic
522C2×C22⋊D59C2×D411yescharacteristic
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59C2×D411yescharacteristic
526#11745689—22no—
527#11745689—22no—
528#11745689—22no—
529#11745689—41no—
530#11745689—41no—
531#11745689—41no—
532#11745689—41no—
533#11745689—41no—
534#11745689—82no—
535Q8×D59—22no—
536Q8×D59—41no—
537Q8×D59—41no—
538Q8×D59—41no—
539#11745687—22no—
540#11745687—41no—
541#11745687—41no—
542#11745687—41no—
543#11745687—44no—
544D4×D59—22no—
545D4×D59—22no—
546D4×D59—22no—
547D4×D59—41no—
548D4×D59—41no—
549D4×D59—41no—
550D4×D59—41no—
551D4×D59—41no—
552D4×D59—44no—
553D4×D59—44no—
554D4×D59—44no—
555D4×D59—82no—
556#11745685—41no—
557#11745685—41no—
558#11745685—41no—
559#11745685—41no—
560#11745685—44no—
561#11745685—44no—
562#11745685—82no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—21no—
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—21no—
579C2×D236—21no—
580C2×D236—41no—
581C2×D236—41no—
582C2×D236—44no—
583C2×D236—82no—
584C2×D236—82no—
585C2×D236—82no—
586C2×D236C2×D411yescharacteristic
587C2×D236C2×D411yescharacteristic
588C2×D236C2×D411yescharacteristic
589C2×D236C2×D411yescharacteristic
590C2×D236C2×D411yescharacteristic
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—41no—
608C2×C4×D59—41no—
609C2×C4×D59—44no—
610C2×C4×D59C2×D411yescharacteristic
611C2×C4×D59C2×D411yescharacteristic
612C2×C4×D59C2411yescharacteristic
613C2×C4×D59C2411yescharacteristic
614C2×C4×D59C2411yescharacteristic
615C2×C4×D59C2411yescharacteristic
616C2×Dic118—21no—
617C2×Dic118—21no—
618C2×Dic118—21no—
619C2×Dic118C2×D411yescharacteristic
620C2×Dic118C2411yescharacteristic
621C2×Dic118C2411yescharacteristic
622Q16×C59—22no—
623SD16×C59—22no—
624SD16×C59—22no—
625D8×C59—22no—
626C2×C8×C59C2411yescharacteristic
627C2×C8×C59C2411yescharacteristic
628C2×C8×C59C2411yescharacteristic
629C2×C8×C59C2411yescharacteristic
630C4⋊C4×C59—21no—
631C4⋊C4×C59—21no—
632C4⋊C4×C59—21no—
633C4⋊C4×C59—21no—
634C4⋊C4×C59—21no—
635C4⋊C4×C59—21no—
636C4⋊C4×C59C2×D411yescharacteristic
637C4⋊C4×C59C2×D411yescharacteristic
638C4⋊C4×C59C2411yescharacteristic
639C4⋊C4×C59C2411yescharacteristic
640C4⋊C4×C59C2411yescharacteristic
641C4⋊C4×C59C2411yescharacteristic
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59C2×D411yescharacteristic
650C22⋊C4×C59C2×D411yescharacteristic
651C42×C59—21no—
652C42×C59—21no—
653C42×C59—21no—
654C42×C59C2411yescharacteristic
655C42×C59C2411yescharacteristic
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659#11745672—22no—
660#11745672—41no—
661#11745671—22no—
662#11745671—41no—
663#11745671—41no—
664#11745671—41no—
665#11745670—22no—
666#11745670—41no—
667#11745669—22no—
668#11745669—41no—
669#11745669—41no—
670#11745669—41no—
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)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697(C2×D59)⋊C4C2×D411yescharacteristic
698(C2×D59)⋊C4C2×D411yescharacteristic
699(C2×D59)⋊C4C2×D411yescharacteristic
700(C2×D59)⋊C4C2×D411yescharacteristic
701C4⋊Dic59—21no—
702C4⋊Dic59—21no—
703C4⋊Dic59—21no—
704C4⋊Dic59—21no—
705C4⋊Dic59—21no—
706C4⋊Dic59C2×D411yescharacteristic
707C4⋊Dic59C2×D411yescharacteristic
708C4⋊Dic59C2×D411yescharacteristic
709C4⋊Dic59C2×D411yescharacteristic
710C4⋊Dic59C2411yescharacteristic
711C4⋊Dic59C2411yescharacteristic
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720C4×Dic59—21no—
721C2×C59⋊C8C2411yescharacteristic
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725Dic236—41no—
726D472—41no—
727D472—41no—
728D472—41no—
729#11745660—41no—
730#11745660—41no—
731#11745660—41no—
732#11745660—41no—
733#11745659—41no—
734#11745659—41no—
735#11745659—41no—
736#11745659—41no—
737C8×D59—41no—
738C8×D59—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59C22×D411yescharacteristic
744C22×D59—22no—
745C22×D59—21no—
746C22×D59—21no—
747C22×D59—21no—
748C22×D59—21no—
749C22×D59—41no—
750C22×D59—41no—
751C22×D59—42no—
752C22×D59—42no—
753C22×D59—42no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—42no—
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×D59—81no—
766C22×D59C22×D411yescharacteristic
767C22×D59C22×D411yescharacteristic
768C22×D59C22×D411yescharacteristic
769C22×D59C22×D411yescharacteristic
770Q8×C59—21no—
771Q8×C59—21no—
772Q8×C59—21no—
773Q8×C59—81no—
774Q8×C59H(5,𝔽2)12yes—
775D4×C59—24no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—81no—
780D4×C59H(5,𝔽2)12yes—
781C2×C4×C59—24no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—81no—
791C2×C4×C59—81no—
792C2×C4×C59—81no—
793C2×C4×C59—81no—
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C2511yescharacteristic
800C22⋊D59—41no—
801C22⋊D59—41no—
802C22⋊D59—42no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—41no—
817C2×Dic59—42no—
818C2×Dic59—81no—
819C2×Dic59C22×D411yescharacteristic
820C2×Dic59C22×D411yescharacteristic
821C2×Dic59C22×D411yescharacteristic
822C2×Dic59C22×D411yescharacteristic
823D236—22no—
824D236—22no—
825D236—21no—
826D236—21no—
827D236—21no—
828D236—21no—
829D236—21no—
830D236—21no—
831D236—21no—
832D236—21no—
833D236—41no—
834D236—41no—
835D236—41no—
836D236—42no—
837D236—42no—
838D236—42no—
839D236—42no—
840D236—42no—
841D236—42no—
842D236—42no—
843D236—81no—
844D236—81no—
845D236—81no—
846D236—81no—
847D236—81no—
848D236—81no—
849D236—81no—
850D236—81no—
851D236—81no—
852D236—81no—
853C4×D59—21no—
854C4×D59—21no—
855C4×D59—21no—
856C4×D59—21no—
857C4×D59—21no—
858C4×D59—21no—
859C4×D59—21no—
860C4×D59—21no—
861C4×D59—41no—
862C4×D59—41no—
863C4×D59—42no—
864C4×D59—42no—
865C4×D59—42no—
866C4×D59—42no—
867C4×D59—42no—
868C4×D59—42no—
869C4×D59—81no—
870C4×D59—81no—
871C4×D59—81no—
872C4×D59—81no—
873C4×D59—81no—
874C4×D59—81no—
875Dic118—21no—
876Dic118—21no—
877Dic118—21no—
878Dic118—21no—
879Dic118—41no—
880Dic118—42no—
881Dic118—81no—
882Dic118—81no—
883C8×C59—21no—
884C8×C59—21no—
885C8×C59—21no—
886C8×C59—21no—
887C59⋊C8—21no—
888C59⋊C8—21no—
889C59⋊C8—21no—
890C59⋊C8—21no—
891#61624—591nomaximal, Sylow
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—22no—
895C22×C59—21no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—41no—
901C22×C59C23×D411yescharacteristic
902C2×D59—21no—
903C2×D59—21no—
904C2×D59—21no—
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—82no—
926C2×D59—84no—
927C2×D59—162no—
928C2×D59—162no—
929C2×D59—162no—
930C2×D59—162no—
931C2×D59#57612yes—
932C4×C59—21no—
933C4×C59—21no—
934C4×C59—21no—
935C4×C59—22no—
936C4×C59—21no—
937C4×C59—21no—
938C4×C59—41no—
939C4×C59—41no—
940C4×C59—41no—
941C4×C59—41no—
942C4×C59—41no—
943C4×C59C2×H(5,𝔽2)11yescharacteristic
944C4×C59C2×H(5,𝔽2)11yescharacteristic
945Dic59—21no—
946Dic59—21no—
947Dic59—21no—
948Dic59—21no—
949Dic59—41no—
950Dic59—41no—
951Dic59—41no—
952Dic59—41no—
953#3536—591no—
954#3488—591no—
955#3333—591no—
956#3333—591no—
957#3314—591no—
958#3314—591no—
959#3308—591no—
960#3308—591no—
961#3294—591no—
962#3294—591no—
963#3285—591no—
964#3285—591no—
965#3273—591no—
966#3273—591no—
967#3268—591no—
968#3268—591no—
969#3265—591no—
970#3265—591no—
971#3224—591no—
972#3224—591no—
973#3203—591no—
974#3203—591no—
975#3193—591no—
976#3186—591no—
977#3124—591no—
978#3124D5911yescharacteristic, complemented
979#3012—591no—
980#3012—591no—
981#3006—591no—
982C2×#452—591no—
983#2976—591no—
984C2×C59—41no—
985C2×C59—42no—
986C2×C59—81no—
987C2×C59#348411yescharacteristic
988C2×C59C2×#57611yescharacteristic
989C2×C59#358611yescharacteristic
990D59—22no—
991D59—41no—
992D59—41no—
993D59—41no—
994D59—81no—
995D59—81no—
996D59—81no—
997D59—81no—
998C2×H(5,𝔽2)—591no—
999C22×#41—591no—
1000C2×AGL(1,ℤ/8)—591no—
1001C2×AGL(1,ℤ/8)—591no—
1002C2×AGL(1,ℤ/8)—591no—
1003C2×AGL(1,ℤ/8)—591no—
1004C2×#135—591no—
1005C2×#135—591no—
1006C22×Q16—591no—
1007C22×SD16—591no—
1008#562—1181no—
1009#562—1181no—
1010#554—591no—
1011#554—591no—
1012#550—591no—
1013#550—591no—
1014#548—591no—
1015#548—591no—
1016#548—591no—
1017#548—591no—
1018#547—591no—
1019#547—591no—
1020#546—591no—
1021#546—591no—
1022#546—591no—
1023#546—591no—
1024#546—1181no—
1025#546—1181no—
1026#546—1181no—
1027#546—1181no—
1028D42—591no—
1029D42—591no—
1030D42—1181no—
1031D42—1181no—
1032#543—1181no—
1033#542—591no—
1034#542C2×D5911yescharacteristic, complemented
1035#539—1181no—
1036#538—1181no—
1037#537—591no—
1038#537—591no—
1039#537—591no—
1040#537—1181no—
1041#537—1181no—
1042#535—591no—
1043#535—1181no—
1044#525—591no—
1045#525—1181no—
1046C2×C22⋊Q8—591no—
1047C2×#121—591no—
1048C2×#121—591no—
1049C2×#121—1181no—
1050#520C2×D5911yescharacteristic, complemented
1051#496—591no—
1052#496—591no—
1053#495—591no—
1054#495—591no—
1055#489—591no—
1056#489—591no—
1057#486—591no—
1058#486—591no—
1059#484—591no—
1060#484—591no—
1061#484—591no—
1062#484C2×D5911yescharacteristic, complemented
1063#480—591no—
1064#480—591no—
1065#480—591no—
1066#480—591no—
1067#480—591no—
1068#480—591no—
1069#480—591no—
1070#480C2×D5911yescharacteristic, complemented
1071#477—591no—
1072#477C2×D5911yescharacteristic, complemented
1073#474—591no—
1074#474C2×D5911yescharacteristic, complemented
1075#468—591no—
1076#468—591no—
1077#468—591no—
1078#468—591no—
1079#468—591no—
1080#468—591no—
1081#468—591no—
1082#468—591no—
1083#467—591no—
1084#467—591no—
1085#466—591no—
1086#466—591no—
1087#466—591no—
1088#466—591no—
1089#466—591no—
1090#466—591no—
1091#464—591no—
1092#464—591no—
1093#464—591no—
1094#464C2×D5911yescharacteristic, complemented
1095#463—591no—
1096#463—591no—
1097#463—591no—
1098#463C2×D5911yescharacteristic, complemented
1099#460—591no—
1100#460—591no—
1101#459—591no—
1102#459—591no—
1103#452—591no—
1104#452—591no—
1105#452—591no—
1106#452—591no—
1107#452—591no—
1108#452—591no—
1109#452—591no—
1110#452—591no—
1111#452—591no—
1112#452—591no—
1113#452—591no—
1114#452C2×D5911yescharacteristic, complemented
1115#450—591no—
1116#450—591no—
1117#450—591no—
1118#450—591no—
1119#449—591no—
1120#449—591no—
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#449—591no—
1125#449—591no—
1126#449C2×D5911yescharacteristic
1127#448—591no—
1128#448—591no—
1129#448—591no—
1130#448—591no—
1131#447—591no—
1132#447—591no—
1133#447—591no—
1134#447—591no—
1135#447—591no—
1136#447—591no—
1137#447—591no—
1138#447—591no—
1139#440—591no—
1140#440—591no—
1141#440C2×D5911yescharacteristic, complemented
1142#440C2×D5911yescharacteristic, complemented
1143C4×Q16—591no—
1144C4×Q16C2×D5911yescharacteristic, complemented
1145C4×D8—591no—
1146C4×D8C2×D5911yescharacteristic, complemented
1147#436—591no—
1148#436—591no—
1149#435—591no—
1150#435—591no—
1151#435—591no—
1152#435—591no—
1153C8×D4—591no—
1154C8×D4—591no—
1155#433—591no—
1156#433C2×D5911yescharacteristic, complemented
1157#417—591no—
1158#417—591no—
1159#417—591no—
1160#417—591no—
1161C2×#103—591no—
1162C2×#102—591no—
1163C2×#102—591no—
1164C2×#102—591no—
1165#408—591no—
1166#408—591no—
1167#407—591no—
1168C2×C22⋊C8—591no—
1169C59#6162411yescharacteristic, complemented, Sylow
1170H(5,𝔽2)—2362no—
1171H(5,𝔽2)—2362no—
1172C2×#41—591no—
1173C2×#41—591no—
1174C2×#41—591no—
1175C2×#41—591no—
1176C2×#41—591no—
1177C2×#41—591no—
1178C2×#41—591no—
1179C2×#41—591no—
1180C2×#41—1181no—
1181C2×#41—1181no—
1182C2×#41—1181no—
1183C2×#41—1181no—
1184C2×#41—1181no—
1185C2×#41—2362no—
1186C2×#41—2362no—
1187C2×#41C22×D5911yescharacteristic
1188C22×Q8—591no—
1189C22×Q8—591no—
1190C22×D4—591no—
1191C22×D4—591no—
1192C22×D4—591no—
1193C22×D4—591no—
1194C22×D4—591no—
1195C22×D4—1181no—
1196C22×D4—1181no—
1197C22×D4—1181no—
1198C22×D4—1181no—
1199C22×D4—1181no—
1200C22×D4—1181no—
1201C22×D4—1181no—
1202C22×D4—1181no—
1203C23×C4—591no—
1204C23×C4—1181no—
1205AGL(1,ℤ/8)—2362no—
1206AGL(1,ℤ/8)—2362no—
1207AGL(1,ℤ/8)—2362no—
1208AGL(1,ℤ/8)—2362no—
1209#135—2362no—
1210#135—2362no—
1211C2×Q16—591no—
1212C2×Q16—591no—
1213C2×Q16—591no—
1214C2×Q16—2362no—
1215C2×Q16C22×D5911yescharacteristic
1216C2×SD16—591no—
1217C2×SD16—591no—
1218C2×SD16—591no—
1219C2×SD16—591no—
1220C2×SD16—591no—
1221C2×SD16—591no—
1222C2×SD16—591no—
1223C2×SD16—591no—
1224C2×SD16—591no—
1225C2×SD16—591no—
1226C2×SD16—2362no—
1227C2×SD16C22×D5911yescharacteristic
1228C2×SD16C22×D5911yescharacteristic
1229C2×D8—591no—
1230C2×D8—591no—
1231C2×D8—591no—
1232C2×D8—591no—
1233C2×D8—591no—
1234C2×D8—591no—
1235C2×D8—591no—
1236C2×D8C22×D5911yescharacteristic
1237C2×M16—591no—
1238C2×M16—591no—
1239C2×M16—591no—
1240C2×M16—591no—
1241C22×C8—591no—
1242C22×C8—591no—
1243C22×C8—591no—
1244C22×C8—591no—
1245C4⋊Q8—591no—
1246C4⋊Q8C22×D5911yescharacteristic
1247#127—591no—
1248#127—591no—
1249#127—1181no—
1250#127—1181no—
1251#126—21no—
1252#126—1181no—
1253#125—1181no—
1254#125—1181no—
1255#124—21no—
1256#124—591no—
1257#124—591no—
1258#124—591no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124—1181no—
1263#124—1181no—
1264#124C22×D5911yescharacteristic
1265#123—21no—
1266#123—591no—
1267#123—591no—
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—
1277C22⋊Q8—21no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8—1181no—
1300C22⋊Q8—1181no—
1301C22⋊Q8—1181no—
1302C22⋊Q8—1181no—
1303C22⋊Q8C22×D5911yescharacteristic
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
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#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121C22×D5911yescharacteristic
1347#120—591no—
1348#120—591no—
1349#120—1181no—
1350#120—1181no—
1351#120—1181no—
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359C4×Q8—591no—
1360C4×Q8C22×D5911yescharacteristic
1361C4×Q8C22×D5911yescharacteristic
1362C4×Q8C22×D5911yescharacteristic
1363C4×D4—21no—
1364C4×D4—21no—
1365C4×D4—591no—
1366C4×D4—591no—
1367C4×D4—591no—
1368C4×D4—591no—
1369C4×D4—591no—
1370C4×D4—1181no—
1371C4×D4—1181no—
1372C4×D4—1181no—
1373C4×D4—1181no—
1374C4×D4—1181no—
1375C4×D4—1181no—
1376C4×D4—1181no—
1377C4×D4—1181no—
1378C4×D4C22×D5911yescharacteristic
1379C4×D4C22×D5911yescharacteristic
1380C4×D4C22×D5911yescharacteristic
1381#117—21no—
1382#117C22×D5911yescharacteristic
1383C2×C4⋊C4—21no—
1384C2×C4⋊C4—591no—
1385C2×C4⋊C4—591no—
1386C2×C4⋊C4—591no—
1387C2×C4⋊C4—591no—
1388C2×C4⋊C4—1181no—
1389C2×C4⋊C4C22×D5911yescharacteristic
1390C2×C22⋊C4—1181no—
1391C2×C22⋊C4—1181no—
1392C2×C22⋊C4—1181no—
1393C2×C22⋊C4—1181no—
1394C2×C22⋊C4—1181no—
1395C2×C22⋊C4—1181no—
1396C2×C22⋊C4—1181no—
1397#107—591no—
1398#107—591no—
1399#107—591no—
1400#107—591no—
1401#107C22×D5911yescharacteristic
1402#107C22×D5911yescharacteristic
1403#107C22×D5911yescharacteristic
1404#107C22×D5911yescharacteristic
1405C4⋊C8—591no—
1406C4⋊C8—591no—
1407C4⋊C8C22×D5911yescharacteristic
1408C4⋊C8C22×D5911yescharacteristic
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103—591no—
1415#103—591no—
1416#103—591no—
1417#103C22×D5911yescharacteristic
1418#103C22×D5911yescharacteristic
1419#103C22×D5911yescharacteristic
1420#103C22×D5911yescharacteristic
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#102—591no—
1433#102—591no—
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102C22×D5911yescharacteristic
1438#102C22×D5911yescharacteristic
1439#102C22×D5911yescharacteristic
1440#102C22×D5911yescharacteristic
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8—591no—
1445C22⋊C8—591no—
1446C22⋊C8—591no—
1447C22⋊C8—591no—
1448C22⋊C8—591no—
1449C22⋊C8—591no—
1450C22⋊C8—591no—
1451C22⋊C8C22×D5911yescharacteristic
1452C22⋊C8C22×D5911yescharacteristic
1453#97—591no—
1454#97C22×D5911yescharacteristic
1455C4×C8—591no—
1456C4×C8C22×D5911yescharacteristic
1457C24—591no—
1458C24—1181no—
1459C24—1181no—
1460C24—1181no—
1461C24—1181no—
1462C24—1181no—
1463#41—22no—
1464#41—22no—
1465#41—1182no—
1466#41—1182no—
1467#41—1182no—
1468#41—1182no—
1469#41—4722no—
1470#41—4722no—
1471#41—2361no—
1472#41—2361no—
1473#41—2361no—
1474#41—2361no—
1475#41—2364no—
1476#41—2364no—
1477#41—2361no—
1478#41—2361no—
1479#41—2361no—
1480#41—2361no—
1481#41—2361no—
1482#41—2361no—
1483#41—2361no—
1484#41—2361no—
1485#41—2364no—
1486C2×Q8—21no—
1487C2×Q8—591no—
1488C2×Q8—591no—
1489C2×Q8—591no—
1490C2×Q8—1181no—
1491C2×Q8—1181no—
1492C2×Q8—1181no—
1493C2×Q8—1182no—
1494C2×Q8—2361no—
1495C2×Q8—2361no—
1496C2×Q8—2361no—
1497C2×Q8C23×D5911yescharacteristic
1498C2×Q8C23×D5911yescharacteristic
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—591no—
1502C2×D4—591no—
1503C2×D4—591no—
1504C2×D4—591no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1182no—
1529C2×D4—1182no—
1530C2×D4—1182no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—4722no—
1543C2×D4—4722no—
1544C2×D4—4722no—
1545C2×D4—4722no—
1546C2×D4—2361no—
1547C2×D4—2361no—
1548C2×D4—2364no—
1549C2×D4—2361no—
1550C2×D4—2361no—
1551C2×D4—2361no—
1552C2×D4—2361no—
1553C2×D4—2361no—
1554C2×D4—2364no—
1555C2×D4—2364no—
1556C2×D4—2364no—
1557C2×D4C23×D5911yescharacteristic
1558C2×D4C23×D5911yescharacteristic
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—591no—
1565C22×C4—591no—
1566C22×C4—591no—
1567C22×C4—591no—
1568C22×C4—591no—
1569C22×C4—591no—
1570C22×C4—591no—
1571C22×C4—1181no—
1572C22×C4—1181no—
1573C22×C4—1181no—
1574C22×C4—1181no—
1575C22×C4—1181no—
1576C22×C4—1181no—
1577C22×C4—1181no—
1578C22×C4—1181no—
1579C22×C4—1181no—
1580C22×C4—1181no—
1581C22×C4—1181no—
1582C22×C4—1181no—
1583C22×C4—1181no—
1584C22×C4—1181no—
1585C22×C4—2361no—
1586C22×C4—2361no—
1587C22×C4—2364no—
1588C22×C4C23×D5911yescharacteristic
1589Q16—22no—
1590Q16—1182no—
1591Q16—2361no—
1592Q16—2361no—
1593SD16—22no—
1594SD16—22no—
1595SD16—1182no—
1596SD16—1182no—
1597SD16—2361no—
1598SD16—2361no—
1599SD16—2361no—
1600SD16—2361no—
1601SD16—2361no—
1602SD16—2361no—
1603SD16—2361no—
1604SD16—2361no—
1605D8—22no—
1606D8—1182no—
1607D8—2361no—
1608D8—2361no—
1609D8—2361no—
1610D8—2361no—
1611D8—2361no—
1612D8—2361no—
1613M16—2361no—
1614M16—2361no—
1615M16—2361no—
1616M16—2361no—
1617C2×C8—591no—
1618C2×C8—591no—
1619C2×C8—591no—
1620C2×C8—591no—
1621C2×C8—2361no—
1622C2×C8—2361no—
1623C2×C8—2361no—
1624C2×C8—2361no—
1625C2×C8C23×D5911yescharacteristic
1626C2×C8C23×D5911yescharacteristic
1627C2×C8C23×D5911yescharacteristic
1628C2×C8C23×D5911yescharacteristic
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—21no—
1634C4⋊C4—21no—
1635C4⋊C4—591no—
1636C4⋊C4—591no—
1637C4⋊C4—591no—
1638C4⋊C4—591no—
1639C4⋊C4—591no—
1640C4⋊C4—591no—
1641C4⋊C4—1181no—
1642C4⋊C4—1181no—
1643C4⋊C4—1181no—
1644C4⋊C4—1181no—
1645C4⋊C4—1181no—
1646C4⋊C4—1181no—
1647C4⋊C4—1181no—
1648C4⋊C4—1181no—
1649C4⋊C4—1181no—
1650C4⋊C4—1181no—
1651C4⋊C4—1181no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4D4×D5911yescharacteristic
1655C4⋊C4D4×D5911yescharacteristic
1656C4⋊C4C23×D5911yescharacteristic
1657C4⋊C4C23×D5911yescharacteristic
1658C4⋊C4C23×D5911yescharacteristic
1659C4⋊C4C23×D5911yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—591no—
1668C22⋊C4—591no—
1669C22⋊C4—591no—
1670C22⋊C4—591no—
1671C22⋊C4—591no—
1672C22⋊C4—591no—
1673C22⋊C4—591no—
1674C22⋊C4—591no—
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—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4D4×D5911yescharacteristic
1701C22⋊C4D4×D5911yescharacteristic
1702C42—21no—
1703C42—21no—
1704C42—21no—
1705C42—1181no—
1706C42C23×D5911yescharacteristic
1707C42C23×D5911yescharacteristic
1708C23—21no—
1709C23—21no—
1710C23—591no—
1711C23—591no—
1712C23—591no—
1713C23—591no—
1714C23—1182no—
1715C23—1181no—
1716C23—1181no—
1717C23—1181no—
1718C23—1181no—
1719C23—4721no—
1720C23—4721no—
1721C23—4721no—
1722C23—4721no—
1723C23—4721no—
1724C23—4721no—
1725C23—4721no—
1726C23—4721no—
1727C23—4721no—
1728C23—2361no—
1729C23—2361no—
1730C23—2362no—
1731C23—2362no—
1732C23—2362no—
1733C23—2362no—
1734C23—2362no—
1735C23—2362no—
1736C23C2×D4×D5911yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—81no—
1741Q8—1181no—
1742Q8—1181no—
1743Q8—1181no—
1744Q8—1181no—
1745Q8—4721no—
1746Q8—4721no—
1747Q8—2361no—
1748Q8—2362no—
1749Q8#1427377312yes—
1750D4—24no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—81no—
1755D4—1182no—
1756D4—1182no—
1757D4—1181no—
1758D4—1181no—
1759D4—1181no—
1760D4—1181no—
1761D4—1181no—
1762D4—1181no—
1763D4—1181no—
1764D4—1181no—
1765D4—4721no—
1766D4—4721no—
1767D4—4721no—
1768D4—4721no—
1769D4—4721no—
1770D4—4721no—
1771D4—4721no—
1772D4—4721no—
1773D4—4721no—
1774D4—4721no—
1775D4—4721no—
1776D4—4721no—
1777D4—4721no—
1778D4—4721no—
1779D4—2361no—
1780D4—2361no—
1781D4—2361no—
1782D4—2362no—
1783D4—2362no—
1784D4—2362no—
1785D4—2362no—
1786D4—2362no—
1787D4—2362no—
1788D4—2362no—
1789D4—2361no—
1790D4—2361no—
1791D4—2362no—
1792D4—2362no—
1793D4—2362no—
1794D4—2362no—
1795D4—2362no—
1796D4—2362no—
1797D4#1427377312yes—
1798C2×C4—24no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—81no—
1808C2×C4—81no—
1809C2×C4—81no—
1810C2×C4—81no—
1811C2×C4—591no—
1812C2×C4—591no—
1813C2×C4—591no—
1814C2×C4—591no—
1815C2×C4—1181no—
1816C2×C4—1181no—
1817C2×C4—1181no—
1818C2×C4—1181no—
1819C2×C4—1181no—
1820C2×C4—1181no—
1821C2×C4—1181no—
1822C2×C4—1181no—
1823C2×C4—1181no—
1824C2×C4—1181no—
1825C2×C4—1181no—
1826C2×C4—1181no—
1827C2×C4—4721no—
1828C2×C4—4721no—
1829C2×C4—4721no—
1830C2×C4—4721no—
1831C2×C4—4721no—
1832C2×C4—4721no—
1833C2×C4—4721no—
1834C2×C4—2361no—
1835C2×C4—2361no—
1836C2×C4—2362no—
1837C2×C4—2362no—
1838C2×C4—2362no—
1839C2×C4—2362no—
1840C2×C4—2362no—
1841C2×C4—2362no—
1842C2×C4—2361no—
1843C2×C4—2362no—
1844C2×C4C2×D4×D5911yescharacteristic
1845C2×C4C2×D4×D5911yescharacteristic
1846C2×C4C2×D4×D5911yescharacteristic
1847C2×C4C2×D4×D5911yescharacteristic
1848C2×C4C2×D4×D5911yescharacteristic
1849C2×C4C24×D5911yescharacteristic
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—21no—
1854C8—1181no—
1855C8—1181no—
1856C8—1181no—
1857C8—1181no—
1858C22—21no—
1859C22—22no—
1860C22—21no—
1861C22—21no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—592no—
1868C22—1181no—
1869C22—1181no—
1870C22—1181no—
1871C22—1181no—
1872C22—1181no—
1873C22—1181no—
1874C22—1181no—
1875C22—1181no—
1876C22—1181no—
1877C22—1181no—
1878C22—1181no—
1879C22—9442no—
1880C22—9442no—
1881C22—9442no—
1882C22—9442no—
1883C22—4724no—
1884C22—4722no—
1885C22—2361no—
1886C22—2361no—
1887C22—2361no—
1888C22—2361no—
1889C22—2361no—
1890C22—2361no—
1891C22—2361no—
1892C22—2361no—
1893C22—2361no—
1894C22—2361no—
1895C22—2361no—
1896C22—2361no—
1897C22C22×D4×D5911yescharacteristic
1898C4—21no—
1899C4—22no—
1900C4—21no—
1901C4—21no—
1902C4—21no—
1903C4—21no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—41no—
1909C4—1181no—
1910C4—1181no—
1911C4—1181no—
1912C4—1181no—
1913C4—2361no—
1914C4—2361no—
1915C4—2361no—
1916C4—2361no—
1917C4C2×#1427377311yescharacteristic
1918C4C2×#1427377311yescharacteristic
1919C2—41no—
1920C2—42no—
1921C2—81no—
1922C2—1182no—
1923C2—4721no—
1924C2—4721no—
1925C2—4721no—
1926C2—4721no—
1927C2—2361no—
1928C2—2361no—
1929C2—2361no—
1930C2#2143772911yescharacteristic
1931C2#576×D5911yescharacteristic
1932C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3124C2
socleC22×C59C23×D4
hypercenter#3124D59
hypocenterC59#61624
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3124

Complements

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

NH ≅ G/Ntype
1. #21438321C2semidirect
2. #21437766C2semidirect
3. #21436436C2semidirect
4. #21436431C2semidirect
5. #21436182C2semidirect
6. #21436174C2semidirect
7. #21436092C2semidirect
8. #21436084C2semidirect
9. #21435911C2semidirect
10. #21435906C2semidirect
11. #21435838C2semidirect
12. #21435832C2semidirect
13. #21435706C2semidirect
14. #21435702C2semidirect
15. #21435638C2semidirect
16. #21435631C2semidirect
17. #21435597C2semidirect
18. #21435593C2semidirect
19. #21435192C2semidirect
20. #21435184C2semidirect
21. #21435000C2semidirect
22. #21434996C2semidirect
23. #21434901C2semidirect
24. #21434846C2semidirect
25. #21434358C2semidirect
26. #21433404C2semidirect
27. #21433398C2semidirect
28. #21433345C2semidirect
29. #452×D59C2semidirect
30. #21433142C2semidirect
31. C59×#3124C2semidirect
32. C2×#14273773C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273750C22semidirect
39. C2×#14273748C22semidirect
40. C2×Q16×D59C22semidirect
41. C2×SD16×D59C22semidirect
44. #16838113C22semidirect
45. #16838112C22semidirect
48. #16838064C22semidirect
49. #16838064C22semidirect
50. #16838064C22semidirect
51. #16838060C22semidirect
52. #16838057C22semidirect
53. #16838055C22semidirect
58. #16838047C22semidirect
60. #16838045C22semidirect
64. D4×D236C22semidirect
65. D4×D236C22semidirect
67. #16838023C22semidirect
71. #16837983C22semidirect
73. #16837982C22semidirect
74. #16837981C22semidirect
76. #16837971C22semidirect
79. C22⋊Q8×D59C22semidirect
82. #121×D59C22semidirect
83. #16837792C22semidirect
84. #16837791C22semidirect
85. #16837786C22semidirect
86. #16837784C22semidirect
87. #16837764C22semidirect
88. #16837762C22semidirect
89. #16837750C22semidirect
90. #16837749C22semidirect
91. #16837739C22semidirect
92. #16837739C22semidirect
93. #16837737C22semidirect
94. #16837717C22semidirect
95. #16837717C22semidirect
96. #16837717C22semidirect
97. #16837717C22semidirect
98. #16837717C22semidirect
99. #16837717C22semidirect
100. #16837715C22semidirect
101. #16837697C22semidirect
102. #16837682C22semidirect
103. #16837651C22semidirect
104. #16837651C22semidirect
105. #16837651C22semidirect
106. #16837649C22semidirect
107. #16837649C22semidirect
108. #16837649C22semidirect
109. #16837649C22semidirect
110. #16837647C22semidirect
111. #16837644C22semidirect
112. #16837642C22semidirect
113. #16837639C22semidirect
114. #16837639C22semidirect
115. #16837639C22semidirect
116. #16837637C22semidirect
117. #16837637C22semidirect
118. #16837637C22semidirect
119. #16837625C22semidirect
120. #16837624C22semidirect
121. #16837624C22semidirect
122. #16837618C22semidirect
123. #16837617C22semidirect
124. #16837617C22semidirect
125. #16837603C22semidirect
126. #16837602C22semidirect
127. #16837598C22semidirect
128. #16837597C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837567C22semidirect
132. #16837566C22semidirect
133. #16837565C22semidirect
134. #16837565C22semidirect
135. #16837564C22semidirect
136. #16837563C22semidirect
137. #16837563C22semidirect
138. #16837562C22semidirect
139. #16837561C22semidirect
140. #16837555C22semidirect
141. #16837554C22semidirect
142. #16837552C22semidirect
143. #16837551C22semidirect
144. #16837550C22semidirect
145. #16837550C22semidirect
146. #16837549C22semidirect
147. #16837548C22semidirect
149. #16837546C22semidirect
150. #16837545C22semidirect
151. #16837542C22semidirect
152. #16837542C22semidirect
153. #16837542C22semidirect
154. #16837539C22semidirect
155. #16837538C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837537C22semidirect
159. #16837537C22semidirect
160. #16837535C22semidirect
161. #16837534C22semidirect
162. #16837534C22semidirect
163. #16837502C22semidirect
164. #16837500C22semidirect
165. C4×#11745672C22semidirect
166. C4×#11745669C22semidirect
167. #16837481C22semidirect
168. #16837479C22semidirect
169. #16837475C22semidirect
170. #16837475C22semidirect
171. #16837472C22semidirect
172. #16837472C22semidirect
173. C8×D236C22semidirect
174. #16837467C22semidirect
175. #16837463C22semidirect
176. #16837402C22semidirect
177. #16837402C22semidirect
178. #16837402C22semidirect
179. #16837400C22semidirect
180. #103×D59C22semidirect
181. #102×D59C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #16837367C22semidirect
185. #16837367C22semidirect
186. #16837364C22semidirect
187. C22⋊C8×D59C22semidirect
188. C59×#542C22semidirect
189. C59×#520C22semidirect
190. C59×#484C22semidirect
191. C59×#480C22semidirect
192. C59×#477C22semidirect
193. C59×#474C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#452C22semidirect
198. C59×#440C22semidirect
199. C59×#440C22semidirect
200. C4×Q16×C59C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#433C22semidirect
978. #3124D59semidirect
1034. #542C2×D59semidirect
1050. #520C2×D59semidirect
1062. #484C2×D59semidirect
1070. #480C2×D59semidirect
1072. #477C2×D59semidirect
1074. #474C2×D59semidirect
1094. #464C2×D59semidirect
1098. #463C2×D59semidirect
1114. #452C2×D59semidirect
1141. #440C2×D59semidirect
1142. #440C2×D59semidirect
1144. C4×Q16C2×D59semidirect
1146. C4×D8C2×D59semidirect
1156. #433C2×D59semidirect
1169. C59#61624semidirect

Maximal subgroups

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

subgroupindex
#214383212
#214377662
#214364362
#214364312
#214361822
#214361742
#214360922
#214360842
#214359112
#214359062
#214358382
#214358322
#214357062
#214357022
#214356382
#214356312
#214355972
#214355932
#214351922
#214351842
#214350002
#214349962
#214349012
#214348462
#214343582
#214334042
#214333982
#214333452
#452×D592
#214331422
C59×#31242
#6162459