Finite Group Databasebeta

← #29474587

Subgroups — #29474587

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#21438319C211yesmaximal, characteristic, complemented
2#21437764C211yesmaximal, characteristic, complemented
3#21436419C211yesmaximal, characteristic, complemented
4#21436208C211yesmaximal, characteristic, complemented
5#21436204C211yesmaximal, characteristic, complemented
6#21436060C211yesmaximal, characteristic, complemented
7#21436051C211yesmaximal, characteristic, complemented
8#21435919C211yesmaximal, characteristic, complemented
9#21435918C211yesmaximal, characteristic, complemented
10#21435806C211yesmaximal, characteristic, complemented
11#21435805C211yesmaximal, characteristic, complemented
12#21435734C211yesmaximal, characteristic, complemented
13#21435732C211yesmaximal, characteristic, complemented
14#21435679C211yesmaximal, characteristic, complemented
15#21435677C211yesmaximal, characteristic, complemented
16#21435583C211yesmaximal, characteristic, complemented
17#21435571C211yesmaximal, characteristic, complemented
18#21435193C211yesmaximal, characteristic, complemented
19#21435187C211yesmaximal, characteristic, complemented
20#21435009C211yesmaximal, characteristic, complemented
21#21435007C211yesmaximal, characteristic, complemented
22#21434892C211yesmaximal, characteristic, complemented
23#21434855C211yesmaximal, characteristic, complemented
24#21434380C211yesmaximal, characteristic, complemented
25#21434379C211yesmaximal, characteristic, complemented
26#21433402C211yesmaximal, characteristic, complemented
27#21433398C211yesmaximal, characteristic, complemented
28#21433357C211yesmaximal, characteristic, complemented
29#449×D59C211yesmaximal, characteristic, complemented
30#21433140C211yesmaximal, characteristic, complemented
31C59×#3332C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic
34C2×#14273760C2211yescharacteristic, complemented
35C2×#14273757C2211yescharacteristic, complemented
36C2×#14273755C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273748C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42#16838149—21no—
43#16838148—21no—
44#16838113C2211yescharacteristic, complemented
45#16838107C2211yescharacteristic, complemented
46#16838071C2211yescharacteristic, complemented
47#16838064C2211yescharacteristic
48#16838061C2211yescharacteristic, complemented
49#16838059C2211yescharacteristic
50#16838058C2211yescharacteristic, complemented
51#16838053C2211yescharacteristic, complemented
52#16838049—21no—
53#16838049C2211yescharacteristic, complemented
54#16838049C2211yescharacteristic, complemented
55#16838048—21no—
56#16838048C2211yescharacteristic, complemented
57#16838047C2211yescharacteristic, complemented
58#16838044—21no—
59#16838040—21no—
60#16838037—21no—
61#16838037C2211yescharacteristic
62#16838036—21no—
63#16838036C2211yescharacteristic
64#16838027—21no—
65#16838026C2211yescharacteristic, complemented
66#16838017C2211yescharacteristic, complemented
67#16837996—21no—
68#16837988—21no—
69#16837983C2211yescharacteristic, complemented
70#16837981—21no—
71#16837981C2211yescharacteristic, complemented
72#16837981C2211yescharacteristic, complemented
73#16837980—21no—
74#16837965—21no—
75#16837965C2211yescharacteristic, complemented
76#16837911—21no—
77#16837911C2211yescharacteristic
78C2×#14273707C2211yescharacteristic, complemented
79#121×D59—21no—
80#121×D59C2211yescharacteristic
81#121×D59C2211yescharacteristic, complemented
82#16837884C2211yescharacteristic, complemented
83#16837790C2211yescharacteristic, complemented
84#16837789C2211yescharacteristic, complemented
85#16837786C2211yescharacteristic, complemented
86#16837785C2211yescharacteristic, complemented
87#16837764C2211yescharacteristic, complemented
88#16837760C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837734C2211yescharacteristic, complemented
91#16837734C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837732C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837720C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837691C2211yescharacteristic, complemented
101#16837689C2211yescharacteristic, complemented
102#16837685C2211yescharacteristic, complemented
103#16837661C2211yescharacteristic, complemented
104#16837660C2211yescharacteristic, complemented
105#16837655C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic, complemented
108#16837653C2211yescharacteristic, complemented
109#16837632C2211yescharacteristic, complemented
110#16837632C2211yescharacteristic, complemented
111#16837632C2211yescharacteristic, complemented
112#16837630C2211yescharacteristic, complemented
113#16837630C2211yescharacteristic, complemented
114#16837630C2211yescharacteristic, complemented
115#16837629C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837625C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837623C2211yescharacteristic, complemented
120#16837622C2211yescharacteristic, complemented
121#16837618C2211yescharacteristic, complemented
122#16837617C2211yescharacteristic, complemented
123#16837616C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837601C2211yescharacteristic, complemented
126#16837599C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837566C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837565C2211yescharacteristic, complemented
134#16837565C2211yescharacteristic, complemented
135#16837564C2211yescharacteristic, complemented
136#16837559C2211yescharacteristic, complemented
137#16837559C2211yescharacteristic, complemented
138#16837555C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837554C2211yescharacteristic, complemented
141#16837554C2211yescharacteristic, complemented
142#16837554C2211yescharacteristic, complemented
143#16837554C2211yescharacteristic, complemented
144#16837550C2211yescharacteristic
145#16837550C2211yescharacteristic, complemented
146#16837549C2211yescharacteristic, complemented
147#16837548C2211yescharacteristic, complemented
148#16837547C2211yescharacteristic, complemented
149#16837546C2211yescharacteristic
150#16837545C2211yescharacteristic, complemented
151#16837545C2211yescharacteristic, complemented
152#16837544C2211yescharacteristic, complemented
153#16837544C2211yescharacteristic, complemented
154#16837543C2211yescharacteristic, complemented
155#16837540C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837535C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837513C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837507C2211yescharacteristic, complemented
165#16837506C2211yescharacteristic, complemented
166C4×#11745660C2211yescharacteristic, complemented
167#16837489C2211yescharacteristic, complemented
168#16837487C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837476C2211yescharacteristic, complemented
171#16837474C2211yescharacteristic, complemented
172#16837472C2211yescharacteristic, complemented
173#16837471C2211yescharacteristic, complemented
174C8×D236C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176#16837462C2211yescharacteristic, complemented
177#16837461C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837401C2211yescharacteristic, complemented
180#103×D59C2211yescharacteristic, complemented
181C2×#14273647C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837365C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#550C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic, complemented
190C59×#486C2211yescharacteristic, complemented
191C59×#481C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#475C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#469C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745685—21no—
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745687—21no—
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216#41×D59—42no—
217#41×D59—42no—
218C22×Dic118C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C22×D236—21no—
221C22×D236C2311yescharacteristic
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233C22×C4×D59—21no—
234C22×C4×D59C2311yescharacteristic
235#14273760—42no—
236#14273757—42no—
237#14273755—42no—
238#14273751—42no—
239#14273748—42no—
240#14273747—42no—
241C2×Dic236C2311yescharacteristic
242C2×Dic236C2311yescharacteristic
243C2×#11745672C2311yescharacteristic
244C2×#11745672C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745660C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745670C2311yescharacteristic
252C2×#11745670C2311yescharacteristic
253C2×#11745670C2311yescharacteristic
254C2×#11745670C2311yescharacteristic
255C2×#11745671C2311yescharacteristic
256SD16×D59—42no—
257C2×D472C2311yescharacteristic
258C2×D472C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263D8×D59—42no—
264C2×#11745664C2311yescharacteristic
265C2×#11745659C2311yescharacteristic
266C22×C59⋊C8C2311yescharacteristic
267C2×C8×D59C2311yescharacteristic
268C2×C8×D59C2311yescharacteristic
269C2×C8×D59C2311yescharacteristic
270#14273726C2311yescharacteristic
271#14273723—21no—
272#14273723C2311yescharacteristic
273#14273722—21no—
274#14273720—21no—
275#14273718—21no—
276#14273717—21no—
277#14273716—21no—
278#14273715—21no—
279#14273715C2311yescharacteristic
280#14273715C2311yescharacteristic
281#14273714—21no—
282#14273714C2311yescharacteristic
283#14273714C2311yescharacteristic
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712D411yescharacteristic
291#14273711—21no—
292#14273710—21no—
293#14273710—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709D411yescharacteristic
297#14273707—21no—
298#14273707—21no—
299#14273707—21no—
300#14273707—21no—
301#14273707C2311yescharacteristic
302#14273707C2311yescharacteristic
303#14273707C2311yescharacteristic
304#14273707C2311yescharacteristic
305#14273707C2311yescharacteristic
306#14273707C2311yescharacteristic
307#14273706—21no—
308#14273706—21no—
309#14273706—21no—
310#14273706C2311yescharacteristic
311#14273706C2311yescharacteristic
312#14273705—21no—
313#14273705—21no—
314#14273705—21no—
315#14273705D411yescharacteristic
316#14273704—21no—
317#14273704—21no—
318#14273704—21no—
319#14273704D411yescharacteristic
320#14273703—21no—
321#14273703—21no—
322#14273703—21no—
323#14273702—21no—
324#14273702—21no—
325#14273702C2311yescharacteristic
326#14273702C2311yescharacteristic
327#14273702C2311yescharacteristic
328#14273701—21no—
329#14273701—21no—
330#14273701—21no—
331#14273701—21no—
332#14273701C2311yescharacteristic
333#14273701C2311yescharacteristic
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700D411yescharacteristic
341#14273699—21no—
342#14273699—21no—
343#14273699—21no—
344#14273699—21no—
345#14273699—21no—
346#14273699—21no—
347#14273699—21no—
348#14273699—21no—
349#14273699D411yescharacteristic
350#14273698—21no—
351#14273698—21no—
352#14273698—21no—
353#14273698—21no—
354#14273698—21no—
355#14273698—21no—
356#14273698—21no—
357#14273698C2311yescharacteristic
358#14273698C2311yescharacteristic
359#14273698C2311yescharacteristic
360#14273697—21no—
361#14273697—21no—
362#14273697D411yescharacteristic
363#14273695—21no—
364#14273695—21no—
365#14273695—21no—
366#14273695—21no—
367#14273695—21no—
368#14273695—21no—
369#14273695—21no—
370#14273695—21no—
371#14273695D411yescharacteristic
372Q8×Dic59C2311yescharacteristic
373C4×Dic118C2311yescharacteristic
374#14273692C2311yescharacteristic
375C4×D236—21no—
376C4×D236—21no—
377C4×D236C2311yescharacteristic
378C4×D236C2311yescharacteristic
379D4×Dic59—21no—
380#14273689—21no—
381#14273689—21no—
382#14273689C2311yescharacteristic
383#14273689C2311yescharacteristic
384C4×C22⋊D59—21no—
385C4×C22⋊D59—21no—
386C4×C22⋊D59—21no—
387C4×C22⋊D59C2311yescharacteristic
388C4×C22⋊D59C2311yescharacteristic
389(C22⋊D59)⋊C4—21no—
390#14273684—21no—
391#14273684C2311yescharacteristic
392C2×C4⋊Dic59—21no—
393C4⋊C4×D59—21no—
394C4⋊C4×D59C2311yescharacteristic
395C4⋊C4×D59C2311yescharacteristic
396C4⋊C4×D59C2311yescharacteristic
397C2×(C2×D59)⋊C4—21no—
398C2×(C2×D59)⋊C4—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C22⋊C4×D59—21no—
403C22⋊C4×D59—21no—
404#14273659C2311yescharacteristic
405#14273658C2311yescharacteristic
406#14273658C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
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#14273638C2311yescharacteristic
445#14273637C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59—21no—
448C2×#41×C59C2311yescharacteristic
449C2×#41×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×M16×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C4⋊Q8×C59C2311yescharacteristic
456#127×C59—21no—
457#127×C59C2311yescharacteristic
458#123×C59—21no—
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461#121×C59—21no—
462#121×C59—21no—
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59—21no—
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471C2×C4⋊C4×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473#106×C59C2311yescharacteristic
474#106×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×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
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—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—82no—
501C2×Q8×C59—21no—
502C2×Q8×C59C2411yescharacteristic
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59C2×D411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59C2×D411yescharacteristic
538C2×C22⋊D59C2×D411yescharacteristic
539C2×C22⋊D59C2×D411yescharacteristic
540C2×C22⋊D59C2×D411yescharacteristic
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59C2×D411yescharacteristic
545#11745689—22no—
546#11745689—22no—
547#11745689—22no—
548#11745689—41no—
549Q8×D59—22no—
550Q8×D59—41no—
551#11745687—41no—
552#11745687—41no—
553#11745687—41no—
554#11745687—41no—
555#11745687—44no—
556D4×D59—22no—
557D4×D59—22no—
558D4×D59—41no—
559D4×D59—41no—
560D4×D59—41no—
561D4×D59—41no—
562D4×D59—41no—
563D4×D59—41no—
564D4×D59—44no—
565D4×D59—44no—
566D4×D59—44no—
567D4×D59—82no—
568D4×D59—82no—
569D4×D59—82no—
570D4×D59—82no—
571#11745685—22no—
572#11745685—41no—
573#11745685—41no—
574#11745685—41no—
575#11745685—41no—
576#11745685—41no—
577#11745685—44no—
578#11745685—44no—
579#11745685—82no—
580C2×D236—21no—
581C2×D236—22no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—41no—
588C2×D236—44no—
589C2×D236C2×D411yescharacteristic
590C2×D236C2×D411yescharacteristic
591C2×D236C2411yescharacteristic
592C2×D236C2411yescharacteristic
593C2×D236C2411yescharacteristic
594C2×C4×D59—21no—
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—41no—
606C2×C4×D59—41no—
607C2×C4×D59—44no—
608C2×C4×D59C2×D411yescharacteristic
609C2×C4×D59C2×D411yescharacteristic
610C2×C4×D59C2411yescharacteristic
611C2×C4×D59C2411yescharacteristic
612C2×C4×D59C2411yescharacteristic
613C2×Dic118—21no—
614C2×Dic118—21no—
615C2×Dic118—21no—
616C2×Dic118—41no—
617C2×Dic118—41no—
618C2×Dic118C2×D411yescharacteristic
619C2×Dic118C2411yescharacteristic
620C2×Dic118C2411yescharacteristic
621C2×Dic118C2411yescharacteristic
622SD16×C59—22no—
623D8×C59—41no—
624D8×C59—41no—
625M16×C59—41no—
626M16×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×C59C2×D411yescharacteristic
636C4⋊C4×C59C2411yescharacteristic
637C4⋊C4×C59C2411yescharacteristic
638C4⋊C4×C59C2411yescharacteristic
639C4⋊C4×C59C2411yescharacteristic
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59C2×D411yescharacteristic
646C22⋊C4×C59C2×D411yescharacteristic
647C42×C59—21no—
648C42×C59C2411yescharacteristic
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59C2×D411yescharacteristic
659C22⋊Dic59C2×D411yescharacteristic
660#11745672—22no—
661#11745672—22no—
662#11745671—22no—
663#11745670—41no—
664#11745670—41no—
665#11745670—41no—
666#11745670—41no—
667#11745670—41no—
668#11745669—22no—
669#11745669—41no—
670#11745669—41no—
671#11745669—41no—
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)⋊C4C2×D411yescharacteristic
691(C2×D59)⋊C4C2×D411yescharacteristic
692(C2×D59)⋊C4C2×D411yescharacteristic
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59—21no—
702C4⋊Dic59—21no—
703C4⋊Dic59C2×D411yescharacteristic
704C4⋊Dic59C2411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊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—
723C2×C59⋊C8—41no—
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728Dic236—41no—
729Dic236—41no—
730D472—22no—
731D472—41no—
732#11745660—22no—
733#11745660—22no—
734#11745660—41no—
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—21no—
744C23×C59C22×D411yescharacteristic
745C23×C59C22×D411yescharacteristic
746C22×D59—21no—
747C22×D59—22no—
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—41no—
751C22×D59—41no—
752C22×D59—42no—
753C22×D59—42no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—42no—
757C22×D59—42no—
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×D59—81no—
767C22×D59C22×D411yescharacteristic
768C22×D59C22×D411yescharacteristic
769C22×D59C22×D411yescharacteristic
770Q8×C59—21no—
771Q8×C59—81no—
772Q8×C59H(5,𝔽2)12yes—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—41no—
780D4×C59—42no—
781D4×C59—42no—
782D4×C59—42no—
783D4×C59—81no—
784D4×C59—81no—
785D4×C59—81no—
786D4×C59—81no—
787D4×C59—81no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—42no—
798C2×C4×C59—42no—
799C2×C4×C59—42no—
800C2×C4×C59—81no—
801C2×C4×C59—81no—
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C22×D411yescharacteristic
804C2×C4×C59C22×D411yescharacteristic
805C2×C4×C59C22×D411yescharacteristic
806C2×C4×C59C2511yescharacteristic
807C22⋊D59—22no—
808C22⋊D59—41no—
809C22⋊D59—41no—
810C22⋊D59—41no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—42no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59—21no—
831C2×Dic59—41no—
832C2×Dic59—42no—
833C2×Dic59—81no—
834C2×Dic59—81no—
835C2×Dic59C22×D411yescharacteristic
836C2×Dic59C22×D411yescharacteristic
837C2×Dic59C22×D411yescharacteristic
838C2×Dic59C22×D411yescharacteristic
839C2×Dic59C22×D411yescharacteristic
840D236—24no—
841D236—22no—
842D236—21no—
843D236—21no—
844D236—21no—
845D236—21no—
846D236—21no—
847D236—41no—
848D236—42no—
849D236—42no—
850D236—42no—
851D236—81no—
852D236—81no—
853D236H(5,𝔽2)12yes—
854C4×D59—24no—
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—81no—
867C4×D59—81no—
868C4×D59—81no—
869C4×D59—81no—
870C4×D59—81no—
871C4×D59—81no—
872C4×D59—81no—
873Dic118—21no—
874Dic118—21no—
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#61623—591nomaximal, Sylow
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—21no—
896C22×C59—21no—
897C22×C59—21no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59C23×D411yescharacteristic
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—22no—
914C2×D59—21no—
915C2×D59—21no—
916C2×D59—21no—
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#57712yes—
932C4×C59—21no—
933C4×C59—22no—
934C4×C59—21no—
935C4×C59—21no—
936C4×C59—21no—
937C4×C59—41no—
938C4×C59—41no—
939C4×C59—41no—
940C4×C59—41no—
941C4×C59C2×H(5,𝔽2)11yescharacteristic
942C4×C59C2×H(5,𝔽2)11yescharacteristic
943Dic59—21no—
944Dic59—21no—
945Dic59—21no—
946Dic59—21no—
947Dic59—21no—
948Dic59—41no—
949Dic59—41no—
950Dic59—41no—
951Dic59—41no—
952Dic59—41no—
953#3536—591no—
954#3488—591no—
955#3332—591no—
956#3332D5911yescharacteristic, complemented
957#3316—591no—
958#3316—591no—
959#3306—591no—
960#3306—591no—
961#3295—591no—
962#3295—591no—
963#3282—591no—
964#3282—591no—
965#3275—591no—
966#3275—591no—
967#3271—591no—
968#3271—591no—
969#3264—591no—
970#3264—591no—
971#3224—591no—
972#3224—591no—
973#3204—591no—
974#3204—591no—
975#3192—591no—
976#3187—591no—
977#3125—591no—
978#3125—591no—
979#3012—591no—
980#3012—591no—
981#3007—591no—
982C2×#449—591no—
983#2976—591no—
984C2×C59—41no—
985C2×C59—41no—
986C2×C59—81no—
987C2×C59—81no—
988C2×C59—81no—
989C2×C59#348411yescharacteristic
990C2×C59C2×#57711yescharacteristic
991C2×C59#358511yescharacteristic
992D59—22no—
993D59—41no—
994D59—41no—
995D59—42no—
996D59—81no—
997D59—81no—
998C2×H(5,𝔽2)—591no—
999C22×#41—591no—
1000C2×#137—591no—
1001C2×#137—591no—
1002C2×AGL(1,ℤ/8)—591no—
1003C2×AGL(1,ℤ/8)—591no—
1004C2×#135—591no—
1005C2×#135—591no—
1006C22×SD16—591no—
1007C22×D8—591no—
1008#562—1181no—
1009#562—1181no—
1010#554—591no—
1011#554—591no—
1012#550—591no—
1013#550C2×D5911yescharacteristic, complemented
1014#548—591no—
1015#548—591no—
1016#548—591no—
1017#548—591no—
1018#547—591no—
1019#547C2×D5911yescharacteristic, complemented
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#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#489—591no—
1057#486—591no—
1058#486C2×D5911yescharacteristic, complemented
1059#483—591no—
1060#483—591no—
1061#483—591no—
1062#483—591no—
1063#481—591no—
1064#481—591no—
1065#481—591no—
1066#481—591no—
1067#481—591no—
1068#481—591no—
1069#481C2×D5911yescharacteristic, complemented
1070#481C2×D5911yescharacteristic, complemented
1071#476—591no—
1072#476—591no—
1073#475—591no—
1074#475C2×D5911yescharacteristic, complemented
1075#470—591no—
1076#470—591no—
1077#469—591no—
1078#469—591no—
1079#469—591no—
1080#469—591no—
1081#469C2×D5911yescharacteristic, complemented
1082#469C2×D5911yescharacteristic, complemented
1083#465—591no—
1084#465—591no—
1085#465—591no—
1086#465—591no—
1087#465—591no—
1088#465—591no—
1089#465—591no—
1090#465—591no—
1091#464—591no—
1092#464—591no—
1093#464—591no—
1094#464—591no—
1095#463—591no—
1096#463—591no—
1097#463—591no—
1098#463—591no—
1099#460—591no—
1100#460—591no—
1101#459—591no—
1102#459C2×D5911yescharacteristic, complemented
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#451—591no—
1112#451—591no—
1113#450—591no—
1114#450—591no—
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#449—591no—
1127#449—591no—
1128#449—591no—
1129#449C2×D5911yescharacteristic, complemented
1130#449C2×D5911yescharacteristic, complemented
1131#448—591no—
1132#448—591no—
1133#447—591no—
1134#447—591no—
1135#447—591no—
1136#447—591no—
1137#447—591no—
1138#447—591no—
1139#442—591no—
1140#442—591no—
1141#441—591no—
1142#441—591no—
1143C4×SD16—591no—
1144C4×SD16—591no—
1145C4×SD16—591no—
1146C4×SD16C2×D5911yescharacteristic, complemented
1147#436—591no—
1148#436C2×D5911yescharacteristic, complemented
1149#435—591no—
1150#435—591no—
1151#435—591no—
1152#435—591no—
1153C8×D4—591no—
1154C8×D4—591no—
1155#433—591no—
1156#433—591no—
1157#417—591no—
1158#417—591no—
1159#417C2×D5911yescharacteristic, complemented
1160#417C2×D5911yescharacteristic, complemented
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#6162311yescharacteristic, complemented, Sylow
1170H(5,𝔽2)—2362no—
1171H(5,𝔽2)—2362no—
1172C2×#41—21no—
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—2362no—
1185C2×#41—2362no—
1186C2×#41C22×D5911yescharacteristic
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—
1205#137—2362no—
1206#137—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—591no—
1215C2×SD16—591no—
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×D8—591no—
1229C2×D8—591no—
1230C2×D8—591no—
1231C2×D8—591no—
1232C2×D8—591no—
1233C2×D8—591no—
1234C2×D8—2362no—
1235C2×D8C22×D5911yescharacteristic
1236C2×D8C22×D5911yescharacteristic
1237C2×M16—591no—
1238C2×M16—591no—
1239C2×M16C22×D5911yescharacteristic
1240C2×M16C22×D5911yescharacteristic
1241C22×C8—591no—
1242C22×C8—591no—
1243C22×C8—591no—
1244C22×C8—591no—
1245C4⋊Q8—591no—
1246C4⋊Q8C22×D5911yescharacteristic
1247#127—21no—
1248#127—591no—
1249#127—1181no—
1250#127C22×D5911yescharacteristic
1251#126—1181no—
1252#126—1181no—
1253#125—1181no—
1254#125—1181no—
1255#124—591no—
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#124—1181no—
1265#123—21no—
1266#123—21no—
1267#123—591no—
1268#123—591no—
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—591no—
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⋊Q8—1181no—
1304#121—21no—
1305#121—21no—
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—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121C22×D5911yescharacteristic
1344#121C22×D5911yescharacteristic
1345#121C22×D5911yescharacteristic
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×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—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#106—591no—
1398#106—591no—
1399#106—591no—
1400#106—591no—
1401#106—591no—
1402#106C22×D5911yescharacteristic
1403#106C22×D5911yescharacteristic
1404#106C22×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#103—591no—
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#102C22×D5911yescharacteristic
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#97—591no—
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—41no—
1466#41—41no—
1467#41—82no—
1468#41—1182no—
1469#41—1182no—
1470#41—1182no—
1471#41—1182no—
1472#41—4722no—
1473#41—2361no—
1474#41—2361no—
1475#41—2361no—
1476#41—2361no—
1477#41—2361no—
1478#41—2364no—
1479#41—2364no—
1480#41—2361no—
1481#41—2361no—
1482#41—2361no—
1483#41—2361no—
1484#41—2364no—
1485#41—2361no—
1486C2×Q8—21no—
1487C2×Q8—591no—
1488C2×Q8—591no—
1489C2×Q8—591no—
1490C2×Q8—591no—
1491C2×Q8—1181no—
1492C2×Q8—1181no—
1493C2×Q8—1181no—
1494C2×Q8—1182no—
1495C2×Q8—2361no—
1496C2×Q8—2361no—
1497C2×Q8—2361no—
1498C2×Q8C23×D5911yescharacteristic
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—591no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—1182no—
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—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—4722no—
1541C2×D4—4722no—
1542C2×D4—4722no—
1543C2×D4—4722no—
1544C2×D4—2361no—
1545C2×D4—2364no—
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×D4D4×D5911yescharacteristic
1556C2×D4C23×D5911yescharacteristic
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—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—1182no—
1590Q16—1182no—
1591Q16—2361no—
1592Q16—2361no—
1593SD16—22no—
1594SD16—1182no—
1595SD16—1182no—
1596SD16—1182no—
1597SD16—2361no—
1598SD16—2361no—
1599SD16—2361no—
1600SD16—2361no—
1601SD16—2361no—
1602SD16—2361no—
1603SD16—2361no—
1604SD16—2361no—
1605D8—41no—
1606D8—41no—
1607D8—1182no—
1608D8—1182no—
1609D8—2361no—
1610D8—2361no—
1611D8—2361no—
1612D8—2361no—
1613M16—41no—
1614M16—41no—
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—591no—
1634C4⋊C4—591no—
1635C4⋊C4—591no—
1636C4⋊C4—591no—
1637C4⋊C4—591no—
1638C4⋊C4—591no—
1639C4⋊C4—591no—
1640C4⋊C4—1181no—
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⋊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—591no—
1666C22⋊C4—591no—
1667C22⋊C4—591no—
1668C22⋊C4—591no—
1669C22⋊C4—591no—
1670C22⋊C4—591no—
1671C22⋊C4—591no—
1672C22⋊C4—591no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
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—21no—
1711C23—591no—
1712C23—591no—
1713C23—591no—
1714C23—1182no—
1715C23—1181no—
1716C23—1181no—
1717C23—1181no—
1718C23—4721no—
1719C23—4721no—
1720C23—4721no—
1721C23—4721no—
1722C23—4721no—
1723C23—4721no—
1724C23—4721no—
1725C23—4721no—
1726C23—4721no—
1727C23—2361no—
1728C23—2361no—
1729C23—2362no—
1730C23—2362no—
1731C23—2362no—
1732C23—2362no—
1733C23—2362no—
1734C23—2362no—
1735C23C2×D4×D5911yescharacteristic
1736C23C2×D4×D5911yescharacteristic
1737Q8—21no—
1738Q8—81no—
1739Q8—1181no—
1740Q8—1181no—
1741Q8—1181no—
1742Q8—1181no—
1743Q8—1181no—
1744Q8—1181no—
1745Q8—4721no—
1746Q8—4721no—
1747Q8—2361no—
1748Q8—2362no—
1749Q8#1427377312yes—
1750D4—21no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—41no—
1757D4—42no—
1758D4—42no—
1759D4—42no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—81no—
1764D4—81no—
1765D4—592no—
1766D4—1182no—
1767D4—1184no—
1768D4—1182no—
1769D4—1181no—
1770D4—1181no—
1771D4—1181no—
1772D4—1181no—
1773D4—1181no—
1774D4—4721no—
1775D4—4721no—
1776D4—4721no—
1777D4—4721no—
1778D4—4721no—
1779D4—4721no—
1780D4—4721no—
1781D4—4721no—
1782D4—4721no—
1783D4—4721no—
1784D4—2361no—
1785D4—2362no—
1786D4—2362no—
1787D4—2362no—
1788D4—2361no—
1789D4—2361no—
1790D4—2361no—
1791D4—2362no—
1792D4—2362no—
1793D4—2362no—
1794D4—2362no—
1795D4—2362no—
1796D4—2362no—
1797D4—2362no—
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—42no—
1808C2×C4—42no—
1809C2×C4—42no—
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—1181no—
1829C2×C4—4721no—
1830C2×C4—4721no—
1831C2×C4—4721no—
1832C2×C4—4721no—
1833C2×C4—4721no—
1834C2×C4—4721no—
1835C2×C4—4721no—
1836C2×C4—4721no—
1837C2×C4—4721no—
1838C2×C4—2361no—
1839C2×C4—2361no—
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—21no—
1861C22—21no—
1862C22—21no—
1863C22—21no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—592no—
1874C22—1181no—
1875C22—1181no—
1876C22—1182no—
1877C22—1181no—
1878C22—1181no—
1879C22—1181no—
1880C22—1181no—
1881C22—1181no—
1882C22—1181no—
1883C22—9442no—
1884C22—9442no—
1885C22—9442no—
1886C22—9442no—
1887C22—4722no—
1888C22—4724no—
1889C22—2361no—
1890C22—2361no—
1891C22—2361no—
1892C22—2361no—
1893C22—2361no—
1894C22—2361no—
1895C22—2361no—
1896C22—2361no—
1897C22C22×D4×D5911yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—22no—
1901C4—21no—
1902C4—21no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—1181no—
1908C4—1181no—
1909C4—1181no—
1910C4—1181no—
1911C4—1181no—
1912C4—2361no—
1913C4—2361no—
1914C4—2361no—
1915C4—2361no—
1916C4—2361no—
1917C4H(5,𝔽2)×D5911yescharacteristic
1918C4C2×#1427377311yescharacteristic
1919C2—41no—
1920C2—41no—
1921C2—81no—
1922C2—81no—
1923C2—81no—
1924C2—1182no—
1925C2—4721no—
1926C2—4721no—
1927C2—2361no—
1928C2—2361no—
1929C2—2362no—
1930C2#2143772611yescharacteristic
1931C2#577×D5911yescharacteristic
1932C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3332C2
socleC22×C59C23×D4
hypercenter#3332D59
hypocenterC59#61623
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3332

Complements

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

NH ≅ G/Ntype
1. #21438319C2semidirect
2. #21437764C2semidirect
3. #21436419C2semidirect
4. #21436208C2semidirect
5. #21436204C2semidirect
6. #21436060C2semidirect
7. #21436051C2semidirect
8. #21435919C2semidirect
9. #21435918C2semidirect
10. #21435806C2semidirect
11. #21435805C2semidirect
12. #21435734C2semidirect
13. #21435732C2semidirect
14. #21435679C2semidirect
15. #21435677C2semidirect
16. #21435583C2semidirect
17. #21435571C2semidirect
18. #21435193C2semidirect
19. #21435187C2semidirect
20. #21435009C2semidirect
21. #21435007C2semidirect
22. #21434892C2semidirect
23. #21434855C2semidirect
24. #21434380C2semidirect
25. #21434379C2semidirect
26. #21433402C2semidirect
27. #21433398C2semidirect
28. #21433357C2semidirect
29. #449×D59C2semidirect
30. #21433140C2semidirect
31. C59×#3332C2semidirect
32. C2×#14273773C22semidirect
34. C2×#14273760C22semidirect
35. C2×#14273757C22semidirect
36. C2×#14273755C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273748C22semidirect
39. C2×#14273747C22semidirect
40. C2×SD16×D59C22semidirect
41. C2×D8×D59C22semidirect
44. #16838113C22semidirect
45. #16838107C22semidirect
46. #16838071C22semidirect
48. #16838061C22semidirect
50. #16838058C22semidirect
51. #16838053C22semidirect
53. #16838049C22semidirect
54. #16838049C22semidirect
56. #16838048C22semidirect
57. #16838047C22semidirect
65. #16838026C22semidirect
66. #16838017C22semidirect
69. #16837983C22semidirect
71. #16837981C22semidirect
72. #16837981C22semidirect
75. #16837965C22semidirect
78. C2×#14273707C22semidirect
81. #121×D59C22semidirect
82. #16837884C22semidirect
83. #16837790C22semidirect
84. #16837789C22semidirect
85. #16837786C22semidirect
86. #16837785C22semidirect
87. #16837764C22semidirect
88. #16837760C22semidirect
89. #16837747C22semidirect
90. #16837734C22semidirect
91. #16837734C22semidirect
92. #16837734C22semidirect
93. #16837732C22semidirect
94. #16837722C22semidirect
95. #16837722C22semidirect
96. #16837720C22semidirect
97. #16837719C22semidirect
98. #16837719C22semidirect
99. #16837719C22semidirect
100. #16837691C22semidirect
101. #16837689C22semidirect
102. #16837685C22semidirect
103. #16837661C22semidirect
104. #16837660C22semidirect
105. #16837655C22semidirect
106. #16837654C22semidirect
107. #16837653C22semidirect
108. #16837653C22semidirect
109. #16837632C22semidirect
110. #16837632C22semidirect
111. #16837632C22semidirect
112. #16837630C22semidirect
113. #16837630C22semidirect
114. #16837630C22semidirect
115. #16837629C22semidirect
116. #16837629C22semidirect
117. #16837625C22semidirect
118. #16837624C22semidirect
119. #16837623C22semidirect
120. #16837622C22semidirect
121. #16837618C22semidirect
122. #16837617C22semidirect
123. #16837616C22semidirect
124. #16837616C22semidirect
125. #16837601C22semidirect
126. #16837599C22semidirect
127. #16837596C22semidirect
128. #16837567C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837566C22semidirect
132. #16837565C22semidirect
133. #16837565C22semidirect
134. #16837565C22semidirect
135. #16837564C22semidirect
136. #16837559C22semidirect
137. #16837559C22semidirect
138. #16837555C22semidirect
139. #16837554C22semidirect
140. #16837554C22semidirect
141. #16837554C22semidirect
142. #16837554C22semidirect
143. #16837554C22semidirect
145. #16837550C22semidirect
146. #16837549C22semidirect
147. #16837548C22semidirect
148. #16837547C22semidirect
150. #16837545C22semidirect
151. #16837545C22semidirect
152. #16837544C22semidirect
153. #16837544C22semidirect
154. #16837543C22semidirect
155. #16837540C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837537C22semidirect
159. #16837535C22semidirect
160. #16837534C22semidirect
161. #16837534C22semidirect
162. #16837513C22semidirect
163. #16837512C22semidirect
164. #16837507C22semidirect
165. #16837506C22semidirect
166. C4×#11745660C22semidirect
167. #16837489C22semidirect
168. #16837487C22semidirect
169. #16837478C22semidirect
170. #16837476C22semidirect
171. #16837474C22semidirect
172. #16837472C22semidirect
173. #16837471C22semidirect
174. C8×D236C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837462C22semidirect
177. #16837461C22semidirect
178. #16837402C22semidirect
179. #16837401C22semidirect
180. #103×D59C22semidirect
181. C2×#14273647C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #16837370C22semidirect
185. #16837367C22semidirect
186. #16837365C22semidirect
187. C22⋊C8×D59C22semidirect
188. C59×#550C22semidirect
189. C59×#547C22semidirect
190. C59×#486C22semidirect
191. C59×#481C22semidirect
192. C59×#481C22semidirect
193. C59×#475C22semidirect
194. C59×#469C22semidirect
195. C59×#469C22semidirect
196. C59×#459C22semidirect
197. C59×#449C22semidirect
198. C59×#449C22semidirect
199. C4×SD16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#417C22semidirect
202. C59×#417C22semidirect
956. #3332D59semidirect
1013. #550C2×D59semidirect
1019. #547C2×D59semidirect
1058. #486C2×D59semidirect
1069. #481C2×D59semidirect
1070. #481C2×D59semidirect
1074. #475C2×D59semidirect
1081. #469C2×D59semidirect
1082. #469C2×D59semidirect
1102. #459C2×D59semidirect
1129. #449C2×D59semidirect
1130. #449C2×D59semidirect
1146. C4×SD16C2×D59semidirect
1148. #436C2×D59semidirect
1159. #417C2×D59semidirect
1160. #417C2×D59semidirect
1169. C59#61623semidirect

Maximal subgroups

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

subgroupindex
#214383192
#214377642
#214364192
#214362082
#214362042
#214360602
#214360512
#214359192
#214359182
#214358062
#214358052
#214357342
#214357322
#214356792
#214356772
#214355832
#214355712
#214351932
#214351872
#214350092
#214350072
#214348922
#214348552
#214343802
#214343792
#214334022
#214333982
#214333572
#449×D592
#214331402
C59×#33322
#6162359