Finite Group Databasebeta

← #29474610

Subgroups — #29474610

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#21438324C211yesmaximal, characteristic, complemented
2#21437759C211yesmaximal, characteristic, complemented
3#21436432C211yesmaximal, characteristic, complemented
4#21436428C211yesmaximal, characteristic, complemented
5#21436178C211yesmaximal, characteristic, complemented
6#21436090C211yesmaximal, characteristic, complemented
7#21436086C211yesmaximal, characteristic, complemented
8#21435906C211yesmaximal, characteristic, complemented
9#21435905C211yesmaximal, characteristic, complemented
10#21435840C211yesmaximal, characteristic, complemented
11#21435832C211yesmaximal, characteristic, complemented
12#21435703C211yesmaximal, characteristic, complemented
13#21435700C211yesmaximal, characteristic, complemented
14#21435643C211yesmaximal, characteristic, complemented
15#21435641C211yesmaximal, characteristic, complemented
16#21435593C211yesmaximal, characteristic, complemented
17#21435589C211yesmaximal, characteristic, complemented
18#21435197C211yesmaximal, characteristic, complemented
19#21435191C211yesmaximal, characteristic, complemented
20#21435000C211yesmaximal, characteristic, complemented
21#21434999C211yesmaximal, characteristic, complemented
22#21434897C211yesmaximal, characteristic, complemented
23#21434846C211yesmaximal, characteristic, complemented
24#21434363C211yesmaximal, characteristic, complemented
25#21434362C211yesmaximal, characteristic, complemented
26#21433405C211yesmaximal, characteristic, complemented
27#21433401C211yesmaximal, characteristic, complemented
28#21433349C211yesmaximal, characteristic, complemented
29#452×D59C211yesmaximal, characteristic, complemented
30#21433143C211yesmaximal, characteristic, complemented
31C59×#3314C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic
34C2×#14273755C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273753C2211yescharacteristic, complemented
37C2×#14273752C2211yescharacteristic, complemented
38C2×#14273749C2211yescharacteristic, complemented
39C2×#14273748C2211yescharacteristic, complemented
40C2×Q16×D59C2211yescharacteristic, complemented
41C2×SD16×D59C2211yescharacteristic, complemented
42#16838150—21no—
43#16838148—21no—
44#16838107C2211yescharacteristic, complemented
45#16838073C2211yescharacteristic
46#16838070C2211yescharacteristic
47#16838064C2211yescharacteristic, complemented
48#16838062C2211yescharacteristic, complemented
49#16838062C2211yescharacteristic, complemented
50#16838060C2211yescharacteristic, complemented
51#16838055C2211yescharacteristic, complemented
52#16838053C2211yescharacteristic, complemented
53#16838048—21no—
54#16838048C2211yescharacteristic, complemented
55#16838044—21no—
56#16838043—21no—
57#16838043C2211yescharacteristic, complemented
58#16838042—21no—
59#16838040C2211yescharacteristic
60D4×D236C2211yescharacteristic, complemented
61#16838036—21no—
62D4×C22⋊D59C2211yescharacteristic, complemented
63#16838034—21no—
64#16838027—21no—
65#16838026C2211yescharacteristic, complemented
66#16838024C2211yescharacteristic, complemented
67#16838000—21no—
68#16837985—21no—
69#16837983C2211yescharacteristic, complemented
70#16837982—21no—
71#16837982C2211yescharacteristic, complemented
72#16837982C2211yescharacteristic, complemented
73#16837979—21no—
74#16837970C2211yescharacteristic, complemented
75#16837967—21no—
76#16837911C2211yescharacteristic
77#16837910—21no—
78C22⋊Q8×D59C2211yescharacteristic, complemented
79C2×#14273702C2211yescharacteristic, complemented
80C2×#14273700—21no—
81#121×D59C2211yescharacteristic
82#16837881C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837787C2211yescharacteristic, complemented
86#16837784C2211yescharacteristic, complemented
87#16837763C2211yescharacteristic, complemented
88#16837750C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic, complemented
93#16837717C2211yescharacteristic, complemented
94#16837717C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837715C2211yescharacteristic, complemented
98#16837715C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837696C2211yescharacteristic, complemented
101#16837694C2211yescharacteristic, complemented
102#16837680C2211yescharacteristic, complemented
103#16837651C2211yescharacteristic, complemented
104#16837650C2211yescharacteristic, complemented
105#16837650C2211yescharacteristic, complemented
106#16837650C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837648C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837642C2211yescharacteristic, complemented
111#16837639C2211yescharacteristic, complemented
112#16837639C2211yescharacteristic, complemented
113#16837639C2211yescharacteristic, complemented
114#16837638C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837637C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837627C2211yescharacteristic, complemented
119#16837625C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837617C2211yescharacteristic, complemented
123#16837614C2211yescharacteristic, complemented
124#16837602C2211yescharacteristic, complemented
125#16837601C2211yescharacteristic, complemented
126#16837598C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837563C2211yescharacteristic, complemented
134#16837563C2211yescharacteristic, complemented
135#16837562C2211yescharacteristic, complemented
136#16837562C2211yescharacteristic, complemented
137#16837562C2211yescharacteristic, complemented
138#16837561C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837554C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic, complemented
142#16837550C2211yescharacteristic, complemented
143#16837550C2211yescharacteristic, complemented
144#16837550C2211yescharacteristic, complemented
145#16837549C2211yescharacteristic, complemented
146#16837549C2211yescharacteristic, complemented
147#16837548C2211yescharacteristic
148#16837548C2211yescharacteristic
149#16837548C2211yescharacteristic, complemented
150#16837542C2211yescharacteristic, complemented
151#16837542C2211yescharacteristic, complemented
152#16837542C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837538C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic, complemented
160#16837536C2211yescharacteristic, complemented
161#16837535C2211yescharacteristic, complemented
162#16837504C2211yescharacteristic, complemented
163#16837501C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165#16837496C2211yescharacteristic, complemented
166C4×#11745672C2211yescharacteristic, complemented
167C4×#11745669C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837480C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837471C2211yescharacteristic, complemented
174#16837467C2211yescharacteristic, complemented
175C8×C22⋊D59C2211yescharacteristic, complemented
176#16837464C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837401C2211yescharacteristic, complemented
179#16837401C2211yescharacteristic, complemented
180#16837400C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837368C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837365C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#554C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#467C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203#14273772—42no—
204#14273772—42no—
205C2×#11745689—21no—
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745687—21no—
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×D236C2311yescharacteristic
225C22×C22⋊D59—21no—
226C22×C22⋊D59—21no—
227C22×C22⋊D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59—21no—
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C22×C4×D59—21no—
235C22×C4×D59C2311yescharacteristic
236#14273755—42no—
237#14273754—42no—
238#14273753—42no—
239#14273752—42no—
240#14273749—42no—
241#14273748—42no—
242C2×Dic236C2311yescharacteristic
243C2×#11745672C2311yescharacteristic
244C2×#11745672C2311yescharacteristic
245Q16×D59—42no—
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745660C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745670C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×#11745671C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255C2×#11745671C2311yescharacteristic
256SD16×D59—42no—
257C2×D472C2311yescharacteristic
258C2×D472C2311yescharacteristic
259C2×D472C2311yescharacteristic
260C2×D472C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264C2×#11745669C2311yescharacteristic
265C2×#11745664C2311yescharacteristic
266C2×#11745664C2311yescharacteristic
267C2×#11745659C2311yescharacteristic
268C2×C8×D59C2311yescharacteristic
269C2×C8×D59C2311yescharacteristic
270C2×C8×D59C2311yescharacteristic
271#14273726C2311yescharacteristic
272#14273724C2311yescharacteristic
273#14273723—21no—
274#14273723—21no—
275#14273723C2311yescharacteristic
276#14273722—21no—
277#14273721—21no—
278#14273717—21no—
279#14273716—21no—
280#14273716C2311yescharacteristic
281#14273716C2311yescharacteristic
282#14273715—21no—
283#14273715—21no—
284#14273715C2311yescharacteristic
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712D411yescharacteristic
296#14273710—21no—
297#14273710—21no—
298#14273709D411yescharacteristic
299#14273707—21no—
300#14273707—21no—
301#14273707C2311yescharacteristic
302#14273707C2311yescharacteristic
303#14273706—21no—
304#14273706C2311yescharacteristic
305#14273705—21no—
306#14273705—21no—
307#14273705—21no—
308#14273705—21no—
309#14273705—21no—
310#14273705—21no—
311#14273705—21no—
312#14273705—21no—
313#14273705D411yescharacteristic
314#14273704—21no—
315#14273704—21no—
316#14273704D411yescharacteristic
317#14273703—21no—
318#14273703—21no—
319#14273703C2311yescharacteristic
320#14273703C2311yescharacteristic
321#14273702—21no—
322#14273702—21no—
323#14273702—21no—
324#14273702—21no—
325#14273702—21no—
326#14273702—21no—
327#14273702—21no—
328#14273702C2311yescharacteristic
329#14273702C2311yescharacteristic
330#14273702C2311yescharacteristic
331#14273702C2311yescharacteristic
332#14273702C2311yescharacteristic
333#14273702C2311yescharacteristic
334#14273702C2311yescharacteristic
335#14273701—21no—
336#14273701—21no—
337#14273701—21no—
338#14273701C2311yescharacteristic
339#14273701C2311yescharacteristic
340#14273701C2311yescharacteristic
341#14273700—21no—
342#14273700—21no—
343#14273700—21no—
344#14273700—21no—
345#14273700—21no—
346#14273700—21no—
347#14273700—21no—
348#14273700—21no—
349#14273700—21no—
350#14273700—21no—
351#14273700—21no—
352#14273700—21no—
353#14273700—21no—
354#14273700—21no—
355#14273700D411yescharacteristic
356#14273699—21no—
357#14273699—21no—
358#14273699—21no—
359#14273699—21no—
360#14273699D411yescharacteristic
361#14273698C2311yescharacteristic
362#14273697—21no—
363#14273697—21no—
364#14273697—21no—
365#14273697—21no—
366#14273697—21no—
367#14273697D411yescharacteristic
368#14273696—21no—
369#14273695—21no—
370#14273695—21no—
371#14273695—21no—
372#14273695D411yescharacteristic
373C4×Dic118C2311yescharacteristic
374#14273692C2311yescharacteristic
375#14273692C2311yescharacteristic
376C4×D236—21no—
377C4×D236C2311yescharacteristic
378C4×D236C2311yescharacteristic
379D4×Dic59C2311yescharacteristic
380#14273689—21no—
381#14273689—21no—
382#14273689—21no—
383#14273689C2311yescharacteristic
384C4×C22⋊D59—21no—
385C4×C22⋊D59—21no—
386C4×C22⋊D59C2311yescharacteristic
387C4×C22⋊D59C2311yescharacteristic
388(C22⋊D59)⋊C4—21no—
389(C22⋊D59)⋊C4—21no—
390(C22⋊D59)⋊C4—21no—
391#14273684C2311yescharacteristic
392#14273683—21no—
393C2×Dic59⋊C4—21no—
394C4⋊C4×D59—21no—
395C4⋊C4×D59C2311yescharacteristic
396C4⋊C4×D59C2311yescharacteristic
397C4⋊C4×D59C2311yescharacteristic
398C2×(C2×D59)⋊C4—21no—
399C2×(C2×D59)⋊C4—21no—
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C22⋊C4×D59—21no—
403C22⋊C4×D59—21no—
404#14273661C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407#14273660C2311yescharacteristic
408#14273660C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
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(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444#14273637C2311yescharacteristic
445C4×C59⋊C8C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449C2×Q16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454C4⋊Q8×C59C2311yescharacteristic
455#125×C59—21no—
456#124×C59C2311yescharacteristic
457#123×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#120×C59—21no—
466C4×Q8×C59C2311yescharacteristic
467C4×D4×C59—21no—
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470C2×C4⋊C4×C59C2311yescharacteristic
471C2×C4⋊C4×C59C2311yescharacteristic
472C2×C22⋊C4×C59—21no—
473#107×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59C2×D411yescharacteristic
496#41×C59—22no—
497#41×C59—41no—
498C2×Q8×C59—21no—
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—22no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—41no—
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
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⋊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—44no—
530C2×C22⋊D59—44no—
531C2×C22⋊D59—82no—
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59C2×D411yescharacteristic
540#11745689—41no—
541#11745689—41no—
542#11745689—41no—
543#11745689—41no—
544#11745689—82no—
545Q8×D59—22no—
546Q8×D59—41no—
547Q8×D59—41no—
548Q8×D59—41no—
549#11745687—22no—
550#11745687—22no—
551#11745687—22no—
552#11745687—41no—
553#11745687—44no—
554#11745687—44no—
555D4×D59—22no—
556D4×D59—22no—
557D4×D59—41no—
558D4×D59—41no—
559D4×D59—41no—
560D4×D59—41no—
561D4×D59—44no—
562D4×D59—44no—
563D4×D59—82no—
564#11745685—22no—
565#11745685—22no—
566#11745685—41no—
567#11745685—41no—
568#11745685—41no—
569#11745685—41no—
570#11745685—41no—
571#11745685—41no—
572#11745685—44no—
573#11745685—82no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—41no—
587C2×D236—41no—
588C2×D236—82no—
589C2×D236—82no—
590C2×D236C2×D411yescharacteristic
591C2×D236C2×D411yescharacteristic
592C2×D236C2411yescharacteristic
593C2×D236C2411yescharacteristic
594C2×D236C2411yescharacteristic
595C2×D236C2411yescharacteristic
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—21no—
600C2×C4×D59—21no—
601C2×C4×D59—21no—
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—41no—
609C2×C4×D59—41no—
610C2×C4×D59—44no—
611C2×C4×D59C2×D411yescharacteristic
612C2×C4×D59C2×D411yescharacteristic
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—41no—
623SD16×C59—22no—
624SD16×C59—41no—
625M16×C59—41no—
626C2×C8×C59—41no—
627C2×C8×C59C2411yescharacteristic
628C2×C8×C59C2411yescharacteristic
629C2×C8×C59C2411yescharacteristic
630C2×C8×C59C2411yescharacteristic
631C4⋊C4×C59—21no—
632C4⋊C4×C59—21no—
633C4⋊C4×C59—21no—
634C4⋊C4×C59—21no—
635C4⋊C4×C59—21no—
636C4⋊C4×C59—21no—
637C4⋊C4×C59—21no—
638C4⋊C4×C59C2×D411yescharacteristic
639C4⋊C4×C59C2411yescharacteristic
640C4⋊C4×C59C2411yescharacteristic
641C4⋊C4×C59C2411yescharacteristic
642C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
650C22⋊C4×C59C2×D411yescharacteristic
651C22⋊C4×C59C2×D411yescharacteristic
652C42×C59—21no—
653C42×C59C2411yescharacteristic
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59C2×D411yescharacteristic
658C22⋊Dic59C2×D411yescharacteristic
659#11745672—22no—
660#11745672—41no—
661#11745671—41no—
662#11745671—41no—
663#11745671—41no—
664#11745671—41no—
665#11745670—22no—
666#11745670—41no—
667#11745669—22no—
668#11745669—22no—
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
699C4⋊Dic59—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59C2×D411yescharacteristic
702C4⋊Dic59C2411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4C2×D411yescharacteristic
715Dic59⋊C4C2×D411yescharacteristic
716Dic59⋊C4C2×D411yescharacteristic
717Dic59⋊C4C2×D411yescharacteristic
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59C2411yescharacteristic
722#11745664—41no—
723#11745664—41no—
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728Dic236—22no—
729D472—41no—
730D472—41no—
731D472—41no—
732D472—41no—
733#11745660—22no—
734#11745660—22no—
735#11745660—41no—
736#11745660—41no—
737#11745659—41no—
738C8×D59—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—42no—
744C23×C59—81no—
745C23×C59—81no—
746C23×C59C22×D411yescharacteristic
747C23×C59C22×D411yescharacteristic
748C22×D59—22no—
749C22×D59—21no—
750C22×D59—21no—
751C22×D59—21no—
752C22×D59—21no—
753C22×D59—41no—
754C22×D59—41no—
755C22×D59—42no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59C22×D411yescharacteristic
768C22×D59C22×D411yescharacteristic
769C22×D59C22×D411yescharacteristic
770Q8×C59—21no—
771Q8×C59—21no—
772Q8×C59—21no—
773Q8×C59—21no—
774Q8×C59—81no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—41no—
779D4×C59—42no—
780D4×C59—42no—
781D4×C59—81no—
782D4×C59H(5,𝔽2)12yes—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—42no—
794C2×C4×C59—81no—
795C2×C4×C59—81no—
796C2×C4×C59—81no—
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C22×D411yescharacteristic
800C2×C4×C59C22×D411yescharacteristic
801C2×C4×C59C2511yescharacteristic
802C22⋊D59—24no—
803C22⋊D59—22no—
804C22⋊D59—41no—
805C22⋊D59—41no—
806C22⋊D59—41no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—81no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C2×Dic59—24no—
821C2×Dic59—21no—
822C2×Dic59—21no—
823C2×Dic59—21no—
824C2×Dic59—21no—
825C2×Dic59—41no—
826C2×Dic59—42no—
827C2×Dic59—81no—
828C2×Dic59C22×D411yescharacteristic
829C2×Dic59C22×D411yescharacteristic
830C2×Dic59C22×D411yescharacteristic
831C2×Dic59C22×D411yescharacteristic
832C2×Dic59C22×D411yescharacteristic
833D236—22no—
834D236—21no—
835D236—21no—
836D236—21no—
837D236—21no—
838D236—21no—
839D236—21no—
840D236—21no—
841D236—21no—
842D236—41no—
843D236—42no—
844D236—42no—
845D236—42no—
846D236—42no—
847D236—81no—
848D236—81no—
849D236—81no—
850D236—81no—
851D236—81no—
852D236—81no—
853D236—81no—
854D236—81no—
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—81no—
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—41no—
879Dic118—42no—
880Dic118—81no—
881Dic118—81no—
882Dic118H(5,𝔽2)12yes—
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—21no—
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—41no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—162no—
905C22×C59C23×D411yescharacteristic
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—21no—
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—41no—
926C2×D59—82no—
927C2×D59—84no—
928C2×D59—162no—
929C2×D59—162no—
930C2×D59—162no—
931C2×D59#57612yes—
932C4×C59—21no—
933C4×C59—21no—
934C4×C59—21no—
935C4×C59—21no—
936C4×C59—41no—
937C4×C59—41no—
938C4×C59—41no—
939C4×C59—41no—
940C4×C59—41no—
941C4×C59—41no—
942C4×C59C2×H(5,𝔽2)11yescharacteristic
943C4×C59C2×H(5,𝔽2)11yescharacteristic
944Dic59—21no—
945Dic59—22no—
946Dic59—21no—
947Dic59—21no—
948Dic59—21no—
949Dic59—21no—
950Dic59—41no—
951Dic59—41no—
952Dic59—41no—
953#3536—591no—
954#3488—591no—
955#3333—591no—
956#3333—591no—
957#3314—591no—
958#3314D5911yescharacteristic, complemented
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#3124—591no—
979#3012—591no—
980#3012—591no—
981#3006—591no—
982C2×#452—591no—
983#2976—591no—
984C2×C59—41no—
985C2×C59—42no—
986C2×C59—41no—
987C2×C59—81no—
988C2×C59#348411yescharacteristic
989C2×C59C2×#57611yescharacteristic
990C2×C59#358611yescharacteristic
991D59—22no—
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#554C2×D5911yescharacteristic, complemented
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—1181no—
1024#546—1181no—
1025#546—1181no—
1026#546—1181no—
1027#546C2×D5911yescharacteristic
1028D42—591no—
1029D42—591no—
1030D42—1181no—
1031D42—1181no—
1032#543—1181no—
1033#542—591no—
1034#542—591no—
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#520—591no—
1051#496—591no—
1052#496—591no—
1053#495—591no—
1054#495—591no—
1055#489—591no—
1056#489C2×D5911yescharacteristic, complemented
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#477—591no—
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#468C2×D5911yescharacteristic, complemented
1083#467—591no—
1084#467C2×D5911yescharacteristic, complemented
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#463—591no—
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#450C2×D5911yescharacteristic, complemented
1119#449—591no—
1120#449—591no—
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#449—591no—
1125#449—591no—
1126#449—591no—
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#440—591no—
1142#440C2×D5911yescharacteristic, complemented
1143C4×Q16—591no—
1144C4×Q16—591no—
1145C4×D8—591no—
1146C4×D8—591no—
1147#436—591no—
1148#436—591no—
1149#435—591no—
1150#435—591no—
1151#435—591no—
1152#435C2×D5911yescharacteristic, complemented
1153C8×D4—591no—
1154C8×D4—591no—
1155#433—591no—
1156#433—591no—
1157#417—591no—
1158#417—591no—
1159#417—591no—
1160#417C2×D5911yescharacteristic, complemented
1161C2×#103—591no—
1162C2×#102—591no—
1163C2×#102—591no—
1164C2×#102C2×D5911yescharacteristic, complemented
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—1181no—
1195C22×D4—1181no—
1196C22×D4—1181no—
1197C22×D4—1181no—
1198C22×D4—1181no—
1199C22×D4—1181no—
1200C22×D4—1181no—
1201C22×D4—1181no—
1202C22×D4C22×D5911yescharacteristic
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×D8—591no—
1237C2×M16—591no—
1238C2×M16—591no—
1239C2×M16—591no—
1240C2×M16C22×D5911yescharacteristic
1241C22×C8—591no—
1242C22×C8—591no—
1243C22×C8—591no—
1244C22×C8C22×D5911yescharacteristic
1245C4⋊Q8—591no—
1246C4⋊Q8C22×D5911yescharacteristic
1247#127—591no—
1248#127—591no—
1249#127—1181no—
1250#127—1181no—
1251#126—1181no—
1252#126—1181no—
1253#125—21no—
1254#125—1181no—
1255#124—591no—
1256#124—591no—
1257#124—591no—
1258#124—1181no—
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—21no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—1181no—
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⋊Q8C22×D5911yescharacteristic
1302C22⋊Q8C22×D5911yescharacteristic
1303C22⋊Q8C22×D5911yescharacteristic
1304#121—21no—
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—591no—
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—21no—
1348#120—591no—
1349#120—591no—
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×Q8—591no—
1361C4×Q8—591no—
1362C4×Q8C22×D5911yescharacteristic
1363C4×D4—21no—
1364C4×D4—591no—
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×D4—1181no—
1379C4×D4C22×D5911yescharacteristic
1380C4×D4C22×D5911yescharacteristic
1381#117—591no—
1382#117—1181no—
1383C2×C4⋊C4—591no—
1384C2×C4⋊C4—591no—
1385C2×C4⋊C4—591no—
1386C2×C4⋊C4—1181no—
1387C2×C4⋊C4—1181no—
1388C2×C4⋊C4C22×D5911yescharacteristic
1389C2×C4⋊C4C22×D5911yescharacteristic
1390C2×C22⋊C4—21no—
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#107—591no—
1402#107C22×D5911yescharacteristic
1403#107C22×D5911yescharacteristic
1404#107C22×D5911yescharacteristic
1405C4⋊C8—591no—
1406C4⋊C8—591no—
1407C4⋊C8—591no—
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#102C22×D5911yescharacteristic
1436#102C22×D5911yescharacteristic
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×C8—591no—
1457C24—21no—
1458C24—591no—
1459C24—1181no—
1460C24—1181no—
1461C24—1181no—
1462C24—1181no—
1463#41—22no—
1464#41—41no—
1465#41—1182no—
1466#41—1182no—
1467#41—1182no—
1468#41—1182no—
1469#41—1182no—
1470#41—4722no—
1471#41—4722no—
1472#41—2361no—
1473#41—2361no—
1474#41—2361no—
1475#41—2361no—
1476#41—2361no—
1477#41—2361no—
1478#41—2364no—
1479#41—2361no—
1480#41—2361no—
1481#41—2361no—
1482#41—2364no—
1483#41—2364no—
1484#41—2361no—
1485#41—2361no—
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—22no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—41no—
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—591no—
1513C2×D4—591no—
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—1181no—
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—2361no—
1549C2×D4—2361no—
1550C2×D4—2361no—
1551C2×D4—2361no—
1552C2×D4—2364no—
1553C2×D4—2364no—
1554C2×D4—2364no—
1555C2×D4—2364no—
1556C2×D4D4×D5911yescharacteristic
1557C2×D4C23×D5911yescharacteristic
1558C2×D4C23×D5911yescharacteristic
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—591no—
1564C22×C4—591no—
1565C22×C4—591no—
1566C22×C4—591no—
1567C22×C4—591no—
1568C22×C4—591no—
1569C22×C4—1181no—
1570C22×C4—1181no—
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—2361no—
1585C22×C4—2361no—
1586C22×C4—2364no—
1587C22×C4C23×D5911yescharacteristic
1588C22×C4C23×D5911yescharacteristic
1589Q16—41no—
1590Q16—1182no—
1591Q16—1182no—
1592Q16—2361no—
1593SD16—22no—
1594SD16—41no—
1595SD16—1182no—
1596SD16—1182no—
1597SD16—1182no—
1598SD16—2361no—
1599SD16—2361no—
1600SD16—2361no—
1601SD16—2361no—
1602SD16—2361no—
1603SD16—2361no—
1604SD16—2361no—
1605D8—1182no—
1606D8—1182no—
1607D8—2361no—
1608D8—2361no—
1609D8—2361no—
1610D8—2361no—
1611D8—2361no—
1612D8—2361no—
1613M16—41no—
1614M16—2361no—
1615M16—2361no—
1616M16—2361no—
1617C2×C8—41no—
1618C2×C8—591no—
1619C2×C8—591no—
1620C2×C8—591no—
1621C2×C8—591no—
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—21no—
1636C4⋊C4—591no—
1637C4⋊C4—591no—
1638C4⋊C4—591no—
1639C4⋊C4—591no—
1640C4⋊C4—591no—
1641C4⋊C4—591no—
1642C4⋊C4—591no—
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⋊C4—1181no—
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—591no—
1704C42—1181no—
1705C42—1181no—
1706C42—1181no—
1707C42C23×D5911yescharacteristic
1708C23—21no—
1709C23—21no—
1710C23—42no—
1711C23—81no—
1712C23—81no—
1713C23—591no—
1714C23—591no—
1715C23—591no—
1716C23—1182no—
1717C23—1181no—
1718C23—1181no—
1719C23—1181no—
1720C23—1181no—
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—
1735C23C2×D4×D5911yescharacteristic
1736C23C2×D4×D5911yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—81no—
1742Q8—592no—
1743Q8—1181no—
1744Q8—1181no—
1745Q8—1181no—
1746Q8—4721no—
1747Q8—4721no—
1748Q8—2361no—
1749Q8—2362no—
1750D4—21no—
1751D4—21no—
1752D4—21no—
1753D4—41no—
1754D4—42no—
1755D4—42no—
1756D4—81no—
1757D4—1182no—
1758D4—1182no—
1759D4—1184no—
1760D4—1181no—
1761D4—1181no—
1762D4—1181no—
1763D4—1181no—
1764D4—1181no—
1765D4—1181no—
1766D4—1181no—
1767D4—1181no—
1768D4—4721no—
1769D4—4721no—
1770D4—4721no—
1771D4—4721no—
1772D4—4721no—
1773D4—4721no—
1774D4—4721no—
1775D4—4721no—
1776D4—4721no—
1777D4—4721no—
1778D4—4721no—
1779D4—4721no—
1780D4—4721no—
1781D4—4721no—
1782D4—2361no—
1783D4—2362no—
1784D4—2362no—
1785D4—2362no—
1786D4—2362no—
1787D4—2361no—
1788D4—2361no—
1789D4—2361no—
1790D4—2362no—
1791D4—2362no—
1792D4—2362no—
1793D4—2362no—
1794D4—2362no—
1795D4—2362no—
1796D4—2362no—
1797D4#1427377312yes—
1798C2×C4—21no—
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—21no—
1808C2×C4—42no—
1809C2×C4—81no—
1810C2×C4—81no—
1811C2×C4—81no—
1812C2×C4—591no—
1813C2×C4—591no—
1814C2×C4—591no—
1815C2×C4—591no—
1816C2×C4—591no—
1817C2×C4—1184no—
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—1181no—
1828C2×C4—4721no—
1829C2×C4—4721no—
1830C2×C4—4721no—
1831C2×C4—4721no—
1832C2×C4—4721no—
1833C2×C4—4721no—
1834C2×C4—4721no—
1835C2×C4—4721no—
1836C2×C4—2361no—
1837C2×C4—2361no—
1838C2×C4—2362no—
1839C2×C4—2362no—
1840C2×C4—2362no—
1841C2×C4—2362no—
1842C2×C4—2362no—
1843C2×C4—2361no—
1844C2×C4—2362no—
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—21no—
1860C22—22no—
1861C22—21no—
1862C22—21no—
1863C22—21no—
1864C22—21no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—162no—
1871C22—592no—
1872C22—1181no—
1873C22—1181no—
1874C22—1181no—
1875C22—1181no—
1876C22—1181no—
1877C22—1181no—
1878C22—1181no—
1879C22—1181no—
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—21no—
1900C4—21no—
1901C4—21no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—1181no—
1909C4—1181no—
1910C4—1181no—
1911C4—1182no—
1912C4—1181no—
1913C4—1181no—
1914C4—2361no—
1915C4—2361no—
1916C4—2361no—
1917C4H(5,𝔽2)×D5911yescharacteristic
1918C4C2×#1427377311yescharacteristic
1919C2—41no—
1920C2—41no—
1921C2—42no—
1922C2—81no—
1923C2—1182no—
1924C2—4721no—
1925C2—4721no—
1926C2—4721no—
1927C2—4721no—
1928C2—2361no—
1929C2—2361no—
1930C2#2143772611yescharacteristic
1931C2#576×D5911yescharacteristic
1932C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3314C2
socleC22×C59C23×D4
hypercenter#3314D59
hypocenterC59#61624
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #21438324C2semidirect
2. #21437759C2semidirect
3. #21436432C2semidirect
4. #21436428C2semidirect
5. #21436178C2semidirect
6. #21436090C2semidirect
7. #21436086C2semidirect
8. #21435906C2semidirect
9. #21435905C2semidirect
10. #21435840C2semidirect
11. #21435832C2semidirect
12. #21435703C2semidirect
13. #21435700C2semidirect
14. #21435643C2semidirect
15. #21435641C2semidirect
16. #21435593C2semidirect
17. #21435589C2semidirect
18. #21435197C2semidirect
19. #21435191C2semidirect
20. #21435000C2semidirect
21. #21434999C2semidirect
22. #21434897C2semidirect
23. #21434846C2semidirect
24. #21434363C2semidirect
25. #21434362C2semidirect
26. #21433405C2semidirect
27. #21433401C2semidirect
28. #21433349C2semidirect
29. #452×D59C2semidirect
30. #21433143C2semidirect
31. C59×#3314C2semidirect
32. C2×#14273772C22semidirect
34. C2×#14273755C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273753C22semidirect
37. C2×#14273752C22semidirect
38. C2×#14273749C22semidirect
39. C2×#14273748C22semidirect
40. C2×Q16×D59C22semidirect
41. C2×SD16×D59C22semidirect
44. #16838107C22semidirect
47. #16838064C22semidirect
48. #16838062C22semidirect
49. #16838062C22semidirect
50. #16838060C22semidirect
51. #16838055C22semidirect
52. #16838053C22semidirect
54. #16838048C22semidirect
57. #16838043C22semidirect
60. D4×D236C22semidirect
62. D4×C22⋊D59C22semidirect
65. #16838026C22semidirect
66. #16838024C22semidirect
69. #16837983C22semidirect
71. #16837982C22semidirect
72. #16837982C22semidirect
74. #16837970C22semidirect
78. C22⋊Q8×D59C22semidirect
79. C2×#14273702C22semidirect
82. #16837881C22semidirect
83. #16837791C22semidirect
84. #16837788C22semidirect
85. #16837787C22semidirect
86. #16837784C22semidirect
87. #16837763C22semidirect
88. #16837750C22semidirect
89. #16837747C22semidirect
90. #16837739C22semidirect
91. #16837736C22semidirect
92. #16837736C22semidirect
93. #16837717C22semidirect
94. #16837717C22semidirect
95. #16837717C22semidirect
96. #16837717C22semidirect
97. #16837715C22semidirect
98. #16837715C22semidirect
99. #16837714C22semidirect
100. #16837696C22semidirect
101. #16837694C22semidirect
102. #16837680C22semidirect
103. #16837651C22semidirect
104. #16837650C22semidirect
105. #16837650C22semidirect
106. #16837650C22semidirect
107. #16837649C22semidirect
108. #16837648C22semidirect
109. #16837646C22semidirect
110. #16837642C22semidirect
111. #16837639C22semidirect
112. #16837639C22semidirect
113. #16837639C22semidirect
114. #16837638C22semidirect
115. #16837637C22semidirect
116. #16837637C22semidirect
117. #16837627C22semidirect
118. #16837627C22semidirect
119. #16837625C22semidirect
120. #16837620C22semidirect
121. #16837619C22semidirect
122. #16837617C22semidirect
123. #16837614C22semidirect
124. #16837602C22semidirect
125. #16837601C22semidirect
126. #16837598C22semidirect
127. #16837596C22semidirect
128. #16837567C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837565C22semidirect
132. #16837564C22semidirect
133. #16837563C22semidirect
134. #16837563C22semidirect
135. #16837562C22semidirect
136. #16837562C22semidirect
137. #16837562C22semidirect
138. #16837561C22semidirect
139. #16837554C22semidirect
140. #16837554C22semidirect
141. #16837551C22semidirect
142. #16837550C22semidirect
143. #16837550C22semidirect
144. #16837550C22semidirect
145. #16837549C22semidirect
146. #16837549C22semidirect
149. #16837548C22semidirect
150. #16837542C22semidirect
151. #16837542C22semidirect
152. #16837542C22semidirect
153. #16837539C22semidirect
154. #16837538C22semidirect
155. #16837537C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837537C22semidirect
159. #16837537C22semidirect
160. #16837536C22semidirect
161. #16837535C22semidirect
162. #16837504C22semidirect
163. #16837501C22semidirect
164. #16837499C22semidirect
165. #16837496C22semidirect
166. C4×#11745672C22semidirect
167. C4×#11745669C22semidirect
168. #16837482C22semidirect
169. #16837480C22semidirect
170. #16837477C22semidirect
171. #16837476C22semidirect
172. #16837475C22semidirect
173. #16837471C22semidirect
174. #16837467C22semidirect
175. C8×C22⋊D59C22semidirect
176. #16837464C22semidirect
177. #16837462C22semidirect
178. #16837401C22semidirect
179. #16837401C22semidirect
180. #16837400C22semidirect
181. #103×D59C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #16837368C22semidirect
185. #16837367C22semidirect
186. #16837365C22semidirect
187. C22⋊C8×D59C22semidirect
188. C59×#554C22semidirect
190. C59×#489C22semidirect
191. C59×#484C22semidirect
192. C59×#480C22semidirect
193. C59×#474C22semidirect
194. C59×#468C22semidirect
195. C59×#467C22semidirect
196. C59×#464C22semidirect
197. C59×#452C22semidirect
198. C59×#450C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C2×#102×C59C22semidirect
958. #3314D59semidirect
1011. #554C2×D59semidirect
1056. #489C2×D59semidirect
1062. #484C2×D59semidirect
1070. #480C2×D59semidirect
1074. #474C2×D59semidirect
1082. #468C2×D59semidirect
1084. #467C2×D59semidirect
1094. #464C2×D59semidirect
1114. #452C2×D59semidirect
1118. #450C2×D59semidirect
1142. #440C2×D59semidirect
1152. #435C2×D59semidirect
1160. #417C2×D59semidirect
1164. C2×#102C2×D59semidirect
1169. C59#61624semidirect

Maximal subgroups

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

subgroupindex
#214383242
#214377592
#214364322
#214364282
#214361782
#214360902
#214360862
#214359062
#214359052
#214358402
#214358322
#214357032
#214357002
#214356432
#214356412
#214355932
#214355892
#214351972
#214351912
#214350002
#214349992
#214348972
#214348462
#214343632
#214343622
#214334052
#214334012
#214333492
#452×D592
#214331432
C59×#33142
#6162459