Finite Group Databasebeta

← #29475653

Subgroups — #29475653

Order 15104.

2160 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438524C211yesmaximal, characteristic, complemented
2#21437873C211yesmaximal, characteristic, complemented
3#21436236C211yesmaximal, characteristic, complemented
4#21436235C211yesmaximal, characteristic, complemented
5#21436218C211yesmaximal, characteristic, complemented
6#21436120C211yesmaximal, characteristic, complemented
7#21436111C211yesmaximal, characteristic, complemented
8#21436103C211yesmaximal, characteristic, complemented
9#21436099C211yesmaximal, characteristic, complemented
10#21435685C211yesmaximal, characteristic, complemented
11#21435683C211yesmaximal, characteristic, complemented
12#21435639C211yesmaximal, characteristic, complemented
13#21435637C211yesmaximal, characteristic, complemented
14#21435598C211yesmaximal, characteristic, complemented
15#21435586C211yesmaximal, characteristic, complemented
16#21435581C211yesmaximal, characteristic, complemented
17#21435573C211yesmaximal, characteristic, complemented
18#21435118C211yesmaximal, characteristic, complemented
19#21435115C211yesmaximal, characteristic, complemented
20#21434962C211yesmaximal, characteristic, complemented
21#21434960C211yesmaximal, characteristic, complemented
22#21434953C211yesmaximal, characteristic, complemented
23#21434949C211yesmaximal, characteristic, complemented
24#21434212C211yesmaximal, characteristic, complemented
25#21434211C211yesmaximal, characteristic, complemented
26#21433404C211yesmaximal, characteristic, complemented
27#21433402C211yesmaximal, characteristic, complemented
28#21433370C211yesmaximal, characteristic, complemented
29#21433367C211yesmaximal, characteristic, complemented
30#21433164C211yesmaximal, characteristic, complemented
31C59×#3317C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#14273773C2211yescharacteristic, complemented
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273752C2211yescharacteristic, complemented
38C2×#14273750C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41C22×D472C2211yescharacteristic, complemented
42#16838156—21no—
43#16838142—21no—
44#16838115—21no—
45#16838105C2211yescharacteristic, complemented
46#16838100C2211yescharacteristic, complemented
47#16838091C2211yescharacteristic, complemented
48#16838077—21no—
49#16838074C2211yescharacteristic, complemented
50#16838071C2211yescharacteristic
51#16838071C2211yescharacteristic, complemented
52#16838064C2211yescharacteristic, complemented
53#16838062C2211yescharacteristic, complemented
54#16838048C2211yescharacteristic, complemented
55#16838043C2211yescharacteristic, complemented
56D4×D236—21no—
57D4×D236C2211yescharacteristic
58#16838037—21no—
59#16838037C2211yescharacteristic, complemented
60#16838036—21no—
61#16838036—21no—
62#16838036C2211yescharacteristic
63#16838036C2211yescharacteristic, complemented
64#16838008—21no—
65#16838007—21no—
66#16837991—21no—
67#16837988—21no—
68#16837983C2211yescharacteristic, complemented
69#16837982C2211yescharacteristic, complemented
70#16837975C2211yescharacteristic, complemented
71#16837971C2211yescharacteristic, complemented
72#16837968—21no—
73#16837968—21no—
74#16837968C2211yescharacteristic
75#16837968C2211yescharacteristic, complemented
76#16837949—21no—
77#16837949C2211yescharacteristic
78#127×D59—21no—
79#127×D59C2211yescharacteristic, complemented
80#16837939C2211yescharacteristic, complemented
81#16837937C2211yescharacteristic, complemented
82C4×#11745689C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic, complemented
84#16837789C2211yescharacteristic, complemented
85#16837788C2211yescharacteristic, complemented
86#16837788C2211yescharacteristic, complemented
87#16837768C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837765C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837729C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837715C2211yescharacteristic, complemented
100#16837707C2211yescharacteristic, complemented
101#16837701C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837656C2211yescharacteristic, complemented
104#16837656C2211yescharacteristic, complemented
105#16837655C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837637C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837632C2211yescharacteristic, complemented
116#16837631C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837618C2211yescharacteristic, complemented
121#16837602C2211yescharacteristic, complemented
122#16837601C2211yescharacteristic, complemented
123#16837601C2211yescharacteristic, complemented
124#16837598C2211yescharacteristic, complemented
125#16837596C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837563C2211yescharacteristic, complemented
132#16837555C2211yescharacteristic, complemented
133#16837554C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837554C2211yescharacteristic, complemented
136#16837552C2211yescharacteristic, complemented
137#16837552C2211yescharacteristic, complemented
138#16837551C2211yescharacteristic, complemented
139#16837551C2211yescharacteristic, complemented
140#16837550C2211yescharacteristic
141#16837550C2211yescharacteristic
142#16837550C2211yescharacteristic, complemented
143#16837550C2211yescharacteristic, complemented
144#16837550C2211yescharacteristic, complemented
145#16837550C2211yescharacteristic, complemented
146#16837549C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic, complemented
148#16837546C2211yescharacteristic, complemented
149#16837545C2211yescharacteristic, complemented
150#16837542C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, complemented
152#16837538C2211yescharacteristic, complemented
153#16837538C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic, complemented
160#16837537C2211yescharacteristic, complemented
161#16837535C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837513C2211yescharacteristic, complemented
164#16837506C2211yescharacteristic, complemented
165#16837505C2211yescharacteristic, complemented
166#16837501C2211yescharacteristic, complemented
167#16837500C2211yescharacteristic, complemented
168#16837500C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837475C2211yescharacteristic, complemented
171#16837474C2211yescharacteristic, complemented
172#16837473C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174#16837471C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837458C2211yescharacteristic, complemented
177#16837457C2211yescharacteristic, complemented
178#16837406C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837402C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182C2×#14273647C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837368C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189C59×#550C2211yescharacteristic
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205#14273773—42no—
206#14273773—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745685—21no—
212C2×#11745685—21no—
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic
216C2×Q8×D59C2311yescharacteristic
217C22×D236—21no—
218C22×D236—21no—
219C22×D236C2311yescharacteristic
220C22×D236C2311yescharacteristic
221C22×D236C2311yescharacteristic
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59—21no—
231C2×D4×D59—21no—
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C2×D4×D59C2311yescharacteristic
235C2×D4×D59C2311yescharacteristic
236#14273759—42no—
237#14273755—42no—
238#14273754—42no—
239#14273752—42no—
240#14273750—42no—
241#14273747—42no—
242C2×#11745672C2311yescharacteristic
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253SD16×D59—42no—
254C2×D472—42no—
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×D472C2311yescharacteristic
258C2×D472C2311yescharacteristic
259C2×D472C2311yescharacteristic
260C2×D472C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264C2×#11745669C2311yescharacteristic
265C2×#11745664C2311yescharacteristic
266C2×#11745659C2311yescharacteristic
267C2×#11745659C2311yescharacteristic
268C22×C59⋊C8C2311yescharacteristic
269C2×C8×D59C2311yescharacteristic
270C2×C8×D59C2311yescharacteristic
271#14273726—21no—
272#14273726D411yescharacteristic
273#14273724—21no—
274#14273724—21no—
275#14273724C2311yescharacteristic
276#14273723—21no—
277#14273723—21no—
278#14273723—21no—
279#14273723—21no—
280#14273723—21no—
281#14273723—21no—
282#14273723D411yescharacteristic
283#14273723C2311yescharacteristic
284#14273723C2311yescharacteristic
285#14273722—21no—
286#14273722—21no—
287#14273722—21no—
288#14273722—21no—
289#14273720—21no—
290#14273719—21no—
291#14273718C2311yescharacteristic
292#14273716C2311yescharacteristic
293#14273715—21no—
294#14273715—21no—
295#14273715C2311yescharacteristic
296#14273713—21no—
297#14273713—21no—
298#14273713—21no—
299#14273713—21no—
300#14273713D411yescharacteristic
301#14273713D411yescharacteristic
302#14273712—21no—
303#14273712—21no—
304#14273712—21no—
305#14273712—21no—
306#14273712—21no—
307#14273712—21no—
308#14273712—21no—
309#14273709—21no—
310#14273709—21no—
311#14273707—21no—
312#14273707—21no—
313#14273707C2311yescharacteristic
314#14273707C2311yescharacteristic
315#14273706C2311yescharacteristic
316#14273705—21no—
317#14273705—21no—
318#14273703C2311yescharacteristic
319#14273702—21no—
320#14273702—21no—
321#14273702—21no—
322#14273702—21no—
323#14273702—21no—
324#14273702—21no—
325#14273702—21no—
326#14273702—21no—
327#14273702D411yescharacteristic
328#14273702C2311yescharacteristic
329#14273702C2311yescharacteristic
330#14273702C2311yescharacteristic
331#14273702C2311yescharacteristic
332#14273702C2311yescharacteristic
333#14273702C2311yescharacteristic
334#14273702C2311yescharacteristic
335#14273701—21no—
336#14273701—21no—
337#14273701—21no—
338#14273701—21no—
339#14273701—21no—
340#14273701C2311yescharacteristic
341#14273701C2311yescharacteristic
342#14273701C2311yescharacteristic
343#14273700—21no—
344#14273700—21no—
345#14273700—21no—
346#14273700—21no—
347#14273700—21no—
348#14273700—21no—
349#14273700D411yescharacteristic
350#14273700D411yescharacteristic
351#14273698—21no—
352#14273698—21no—
353#14273698—21no—
354#14273698D411yescharacteristic
355#14273698C2311yescharacteristic
356#14273698C2311yescharacteristic
357#14273697—21no—
358#14273697—21no—
359#14273697—21no—
360#14273697—21no—
361#14273697—21no—
362#14273697—21no—
363#14273697—21no—
364#14273697—21no—
365#14273697—21no—
366#14273695—21no—
367#14273695—21no—
368#14273695—21no—
369#14273695—21no—
370#14273695—21no—
371#14273695—21no—
372#14273695—21no—
373Q8×Dic59C2311yescharacteristic
374#14273692C2311yescharacteristic
375C4×D236—21no—
376C4×D236—21no—
377C4×D236—21no—
378C4×D236—21no—
379C4×D236C2311yescharacteristic
380C4×D236C2311yescharacteristic
381C4×D236C2311yescharacteristic
382#14273689—21no—
383#14273689—21no—
384#14273689—21no—
385#14273689—21no—
386#14273689C2311yescharacteristic
387#14273689C2311yescharacteristic
388C4×C22⋊D59—21no—
389C4×C22⋊D59—21no—
390C4×C22⋊D59—21no—
391C4×C22⋊D59C2311yescharacteristic
392C4×C22⋊D59C2311yescharacteristic
393#14273685—21no—
394#14273685—21no—
395#14273685C2311yescharacteristic
396#14273685C2311yescharacteristic
397#14273684—21no—
398#14273684—21no—
399C4⋊C4×D59C2311yescharacteristic
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C42×D59—21no—
403C42×D59C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407#14273659C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
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#14273638C2311yescharacteristic
445#14273637C2311yescharacteristic
446#14273637C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C2×Q16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454#127×C59—21no—
455#127×C59C2311yescharacteristic
456#126×C59—21no—
457#125×C59—21no—
458#125×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466C4×Q8×C59C2311yescharacteristic
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59—21no—
469C4×D4×C59C2311yescharacteristic
470#117×C59—21no—
471#117×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#106×C59C2311yescharacteristic
475#106×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
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497#41×C59—22no—
498#41×C59—22no—
499#41×C59—41no—
500#41×C59—41no—
501C2×Q8×C59C2411yescharacteristic
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×C59C2×D411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
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—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C2×C22⋊D59C2×D411yescharacteristic
537#11745689—22no—
538#11745689—22no—
539#11745689—22no—
540#11745689—22no—
541#11745689—41no—
542#11745689—41no—
543#11745689—41no—
544#11745689—41no—
545Q8×D59—41no—
546Q8×D59—41no—
547D4×D59—22no—
548D4×D59—22no—
549D4×D59—41no—
550D4×D59—41no—
551D4×D59—41no—
552D4×D59—41no—
553D4×D59—41no—
554D4×D59—41no—
555D4×D59—44no—
556D4×D59—44no—
557D4×D59—44no—
558D4×D59—44no—
559D4×D59—82no—
560D4×D59—82no—
561D4×D59—82no—
562D4×D59—82no—
563D4×D59—82no—
564D4×D59—82no—
565#11745685—41no—
566#11745685—41no—
567#11745685—41no—
568#11745685—41no—
569#11745685—41no—
570#11745685—41no—
571#11745685—44no—
572#11745685—44no—
573C2×D236—21no—
574C2×D236—22no—
575C2×D236—22no—
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—21no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236—21no—
590C2×D236—21no—
591C2×D236—41no—
592C2×D236—41no—
593C2×D236—41no—
594C2×D236—41no—
595C2×D236—44no—
596C2×D236—44no—
597C2×D236C2×D411yescharacteristic
598C2×D236C2×D411yescharacteristic
599C2×D236C2×D411yescharacteristic
600C2×D236C2411yescharacteristic
601C2×D236C2411yescharacteristic
602C2×D236C2411yescharacteristic
603C2×D236C2411yescharacteristic
604C2×D236C2411yescharacteristic
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59—21no—
615C2×C4×D59—21no—
616C2×C4×D59C2×D411yescharacteristic
617C2×C4×D59C2×D411yescharacteristic
618C2×C4×D59C2411yescharacteristic
619C2×C4×D59C2411yescharacteristic
620C2×C4×D59C2411yescharacteristic
621C2×Dic118—21no—
622C2×Dic118C2×D411yescharacteristic
623C2×Dic118C2×D411yescharacteristic
624C2×Dic118C2411yescharacteristic
625Q16×C59—22no—
626SD16×C59—41no—
627SD16×C59—41no—
628M16×C59—41no—
629C2×C8×C59—41no—
630C2×C8×C59C2411yescharacteristic
631C2×C8×C59C2411yescharacteristic
632C2×C8×C59C2411yescharacteristic
633C2×C8×C59C2411yescharacteristic
634C4⋊C4×C59—21no—
635C4⋊C4×C59—21no—
636C4⋊C4×C59—21no—
637C4⋊C4×C59—21no—
638C4⋊C4×C59—21no—
639C4⋊C4×C59—21no—
640C4⋊C4×C59—21no—
641C4⋊C4×C59C2×D411yescharacteristic
642C4⋊C4×C59C2411yescharacteristic
643C4⋊C4×C59C2411yescharacteristic
644C4⋊C4×C59C2411yescharacteristic
645C4⋊C4×C59C2411yescharacteristic
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C22⋊C4×C59C2×D411yescharacteristic
652C22⋊C4×C59C2×D411yescharacteristic
653C42×C59—21no—
654C42×C59—21no—
655C42×C59—21no—
656C42×C59C2411yescharacteristic
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59C2×D411yescharacteristic
661C22⋊Dic59C2×D411yescharacteristic
662#11745672—22no—
663#11745671—22no—
664#11745671—22no—
665#11745671—22no—
666#11745671—41no—
667#11745671—41no—
668#11745670—41no—
669#11745670—41no—
670#11745669—41no—
671#11745669—41no—
672#11745669—41no—
673#11745669—41no—
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)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4C2×D411yescharacteristic
698(C2×D59)⋊C4C2×D411yescharacteristic
699(C2×D59)⋊C4C2×D411yescharacteristic
700(C2×D59)⋊C4C2×D411yescharacteristic
701C4⋊Dic59—21no—
702C4⋊Dic59—21no—
703C4⋊Dic59—21no—
704C4⋊Dic59—21no—
705C4⋊Dic59C2×D411yescharacteristic
706C4⋊Dic59C2411yescharacteristic
707C4⋊Dic59C2411yescharacteristic
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4C2×D411yescharacteristic
714Dic59⋊C4C2×D411yescharacteristic
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59C2×D411yescharacteristic
720C4×Dic59C2×D411yescharacteristic
721C4×Dic59C2411yescharacteristic
722#11745664—41no—
723C2×C59⋊C8—41no—
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728D472—22no—
729D472—22no—
730D472—41no—
731D472—41no—
732D472—41no—
733D472—41no—
734#11745660—22no—
735#11745660—41no—
736#11745660—41no—
737#11745659—41no—
738#11745659—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59C22×D411yescharacteristic
744C23×C59C22×D411yescharacteristic
745C22×D59—21no—
746C22×D59—21no—
747C22×D59—21no—
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—42no—
751C22×D59—42no—
752C22×D59—42no—
753C22×D59—42no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59—81no—
768C22×D59—81no—
769C22×D59—81no—
770C22×D59—81no—
771C22×D59C22×D411yescharacteristic
772C22×D59C22×D411yescharacteristic
773C22×D59C22×D411yescharacteristic
774Q8×C59—21no—
775Q8×C59—21no—
776Q8×C59—21no—
777Q8×C59H(5,𝔽2)12yes—
778D4×C59—21no—
779D4×C59—21no—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—41no—
783D4×C59—42no—
784D4×C59—42no—
785D4×C59—42no—
786D4×C59—81no—
787D4×C59—81no—
788D4×C59—81no—
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—21no—
798C2×C4×C59—21no—
799C2×C4×C59—42no—
800C2×C4×C59—42no—
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—41no—
808C22⋊D59—41no—
809C22⋊D59—41no—
810C22⋊D59—41no—
811C22⋊D59—41no—
812C22⋊D59—41no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—42no—
818C22⋊D59—42no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C22⋊D59—81no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59C22×D411yescharacteristic
831C2×Dic59C22×D411yescharacteristic
832C2×Dic59C22×D411yescharacteristic
833C2×Dic59C22×D411yescharacteristic
834C2×Dic59C22×D411yescharacteristic
835D236—24no—
836D236—21no—
837D236—21no—
838D236—21no—
839D236—21no—
840D236—21no—
841D236—21no—
842D236—21no—
843D236—21no—
844D236—21no—
845D236—41no—
846D236—41no—
847D236—41no—
848D236—42no—
849D236—42no—
850D236—42no—
851D236—42no—
852D236—42no—
853D236—81no—
854D236—81no—
855D236—81no—
856D236—81no—
857D236—81no—
858D236—81no—
859D236—81no—
860D236—81no—
861D236—81no—
862D236—81no—
863D236H(5,𝔽2)12yes—
864C4×D59—24no—
865C4×D59—21no—
866C4×D59—21no—
867C4×D59—21no—
868C4×D59—21no—
869C4×D59—21no—
870C4×D59—21no—
871C4×D59—41no—
872C4×D59—41no—
873C4×D59—42no—
874C4×D59—42no—
875C4×D59—42no—
876C4×D59—42no—
877C4×D59—81no—
878C4×D59—81no—
879C4×D59—81no—
880C4×D59—81no—
881C4×D59—81no—
882C4×D59—81no—
883Dic118—21no—
884Dic118—21no—
885Dic118—41no—
886Dic118—41no—
887Dic118—81no—
888C8×C59—21no—
889C8×C59—21no—
890C8×C59—21no—
891C8×C59—21no—
892C59⋊C8—21no—
893C59⋊C8—21no—
894C59⋊C8—21no—
895C59⋊C8—21no—
896#61675—591nomaximal, Sylow
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—21no—
901C22×C59—21no—
902C22×C59—21no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59C23×D411yescharacteristic
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—21no—
915C2×D59—21no—
916C2×D59—21no—
917C2×D59—21no—
918C2×D59—22no—
919C2×D59—21no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—41no—
927C2×D59—41no—
928C2×D59—41no—
929C2×D59—41no—
930C2×D59—41no—
931C2×D59—41no—
932C2×D59—41no—
933C2×D59—41no—
934C2×D59—162no—
935C2×D59—162no—
936C2×D59—162no—
937C2×D59—162no—
938C2×D59—162no—
939C2×D59—162no—
940C2×D59—162no—
941C4×C59—21no—
942C4×C59—21no—
943C4×C59—21no—
944C4×C59—21no—
945C4×C59—22no—
946C4×C59—41no—
947C4×C59—41no—
948C4×C59—41no—
949C4×C59—41no—
950C4×C59—41no—
951C4×C59C2×H(5,𝔽2)11yescharacteristic
952C4×C59C2×H(5,𝔽2)11yescharacteristic
953Dic59—21no—
954Dic59—21no—
955Dic59—21no—
956Dic59—21no—
957Dic59—21no—
958Dic59—41no—
959Dic59—41no—
960Dic59—41no—
961#3551—591no—
962#3498—591no—
963#3318—591no—
964#3318—591no—
965#3317—591no—
966#3317D5911yescharacteristic, complemented
967#3310—591no—
968#3310—591no—
969#3309—591no—
970#3309—591no—
971#3271—591no—
972#3271—591no—
973#3268—591no—
974#3268—591no—
975#3265—591no—
976#3265—591no—
977#3264—591no—
978#3264—591no—
979#3217—591no—
980#3217—591no—
981#3200—591no—
982#3199—591no—
983#3198—591no—
984#3198—591no—
985#3111—591no—
986#3111—591no—
987#3012—591no—
988#3012—591no—
989#3009—591no—
990#3008—591no—
991#2980—591no—
992C2×C59—41no—
993C2×C59—41no—
994C2×C59—81no—
995C2×C59—81no—
996C2×C59#348411yescharacteristic
997C2×C59#358511yescharacteristic
998C2×C59#358511yescharacteristic
999D59—41no—
1000D59—41no—
1001D59—41no—
1002D59—42no—
1003D59—81no—
1004D59—81no—
1005D59—81no—
1006D59—81no—
1007C2×H(5,𝔽2)—591no—
1008C2×H(5,𝔽2)—591no—
1009C2×#137—591no—
1010C2×AGL(1,ℤ/8)—591no—
1011C2×AGL(1,ℤ/8)—591no—
1012C2×AGL(1,ℤ/8)—591no—
1013C2×#135—591no—
1014C2×#135—591no—
1015C22×SD16—591no—
1016C22×D8—591no—
1017#563—1181no—
1018#560—1181no—
1019#555—1181no—
1020#553—591no—
1021#553—591no—
1022#552—591no—
1023#552C2×D5911yescharacteristic, complemented
1024#551—1181no—
1025#550—591no—
1026#550—591no—
1027#550—591no—
1028#550C2×D5911yescharacteristic
1029#548—591no—
1030#548—591no—
1031#546—591no—
1032#546—591no—
1033D42—591no—
1034D42—591no—
1035D42—591no—
1036D42—591no—
1037D42—1181no—
1038D42—1181no—
1039D42—1181no—
1040D42—1181no—
1041#540—1181no—
1042#540—1181no—
1043#538—1181no—
1044#538—1181no—
1045#537—591no—
1046#537—591no—
1047#536—591no—
1048#535—591no—
1049#535—591no—
1050#535—591no—
1051#535—1181no—
1052#535—1181no—
1053#532—591no—
1054#532—1181no—
1055C2×#127—591no—
1056C2×#127—1181no—
1057#529—591no—
1058#529—591no—
1059C4×#41—591no—
1060#496—591no—
1061#496—591no—
1062#496—591no—
1063#496—591no—
1064#490—591no—
1065#490—591no—
1066#490—591no—
1067#490C2×D5911yescharacteristic, complemented
1068#485—591no—
1069#485—591no—
1070#482—591no—
1071#482—591no—
1072#482—591no—
1073#482—591no—
1074#482—591no—
1075#482C2×D5911yescharacteristic, complemented
1076#481—591no—
1077#481C2×D5911yescharacteristic, complemented
1078#480—591no—
1079#480—591no—
1080#479—591no—
1081#479C2×D5911yescharacteristic, complemented
1082#478—591no—
1083#478—591no—
1084#469—591no—
1085#469—591no—
1086#469—591no—
1087#469—591no—
1088#468—591no—
1089#468—591no—
1090#468—591no—
1091#468C2×D5911yescharacteristic, complemented
1092#466—591no—
1093#466—591no—
1094#466—591no—
1095#466—591no—
1096#465—591no—
1097#465—591no—
1098#465—591no—
1099#465C2×D5911yescharacteristic, complemented
1100#464—591no—
1101#464—591no—
1102#463—591no—
1103#463—591no—
1104#460—591no—
1105#460—591no—
1106#460—591no—
1107#460C2×D5911yescharacteristic, complemented
1108#459—591no—
1109#459—591no—
1110#459—591no—
1111#459—591no—
1112#452—591no—
1113#452—591no—
1114#452—591no—
1115#452—591no—
1116#452C2×D5911yescharacteristic, complemented
1117#452C2×D5911yescharacteristic, complemented
1118#450—591no—
1119#450—591no—
1120#450—591no—
1121#450—591no—
1122#450—591no—
1123#450—591no—
1124#450—591no—
1125#450—591no—
1126#449—591no—
1127#449—591no—
1128#449—591no—
1129#449—591no—
1130#449—591no—
1131#449—591no—
1132#449—591no—
1133#449—591no—
1134#449—591no—
1135#449—591no—
1136#448—591no—
1137#448—591no—
1138#447—591no—
1139#447—591no—
1140#447—591no—
1141#447—591no—
1142#447—591no—
1143#447—591no—
1144#447—591no—
1145#447—591no—
1146#447—591no—
1147#447—591no—
1148#442—591no—
1149#442—591no—
1150#441—591no—
1151#441C2×D5911yescharacteristic, complemented
1152#440—591no—
1153#440—591no—
1154#440—591no—
1155#440—591no—
1156#435—591no—
1157#435—591no—
1158#435—591no—
1159#435—591no—
1160#435—591no—
1161#435—591no—
1162#435—591no—
1163#435C2×D5911yescharacteristic, complemented
1164#432—591no—
1165#432—591no—
1166#418—591no—
1167#418—591no—
1168#417—591no—
1169#417C2×D5911yescharacteristic, complemented
1170#416—591no—
1171#416C2×D5911yescharacteristic, complemented
1172C2×#102—591no—
1173C2×#102—591no—
1174#408—591no—
1175#408—591no—
1176#408—591no—
1177#408—591no—
1178C59#6167511yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—2362no—
1180H(5,𝔽2)—2362no—
1181H(5,𝔽2)—2362no—
1182H(5,𝔽2)—2362no—
1183C2×#41—591no—
1184C2×#41—591no—
1185C2×#41—591no—
1186C2×#41—591no—
1187C2×#41—591no—
1188C2×#41—591no—
1189C2×#41—591no—
1190C2×#41—1181no—
1191C2×#41—1181no—
1192C2×#41C22×D5911yescharacteristic
1193C2×#41C22×D5911yescharacteristic
1194C22×Q8—591no—
1195C22×D4—591no—
1196C22×D4—591no—
1197C22×D4—591no—
1198C22×D4—591no—
1199C22×D4—591no—
1200C22×D4—591no—
1201C22×D4—591no—
1202C22×D4—1181no—
1203C22×D4—1181no—
1204C22×D4—1181no—
1205C22×D4—1181no—
1206C22×D4—1181no—
1207C22×D4—1181no—
1208C22×D4—1181no—
1209C22×D4—1181no—
1210C22×D4—1181no—
1211C22×D4—1181no—
1212C22×D4—1181no—
1213C22×D4—1181no—
1214#137—2362no—
1215AGL(1,ℤ/8)—2362no—
1216AGL(1,ℤ/8)—2362no—
1217AGL(1,ℤ/8)—2362no—
1218#135—2362no—
1219#135—2362no—
1220C2×Q16—591no—
1221C2×Q16C22×D5911yescharacteristic
1222C2×SD16—591no—
1223C2×SD16—591no—
1224C2×SD16—591no—
1225C2×SD16—591no—
1226C2×SD16—591no—
1227C2×SD16—591no—
1228C2×SD16—591no—
1229C2×SD16—591no—
1230C2×SD16—591no—
1231C2×SD16—591no—
1232C2×SD16—2362no—
1233C2×SD16C22×D5911yescharacteristic
1234C2×SD16C22×D5911yescharacteristic
1235C2×D8—591no—
1236C2×D8—591no—
1237C2×D8—591no—
1238C2×D8—591no—
1239C2×D8—591no—
1240C2×D8—591no—
1241C2×D8—591no—
1242C2×D8—591no—
1243C2×D8—591no—
1244C2×D8—591no—
1245C2×D8—2362no—
1246C2×M16—591no—
1247C2×M16—591no—
1248C2×M16—591no—
1249C2×M16C22×D5911yescharacteristic
1250C22×C8—591no—
1251C22×C8—591no—
1252C22×C8—591no—
1253C22×C8C22×D5911yescharacteristic
1254C4⋊Q8—591no—
1255C4⋊Q8—1181no—
1256#127—21no—
1257#127—591no—
1258#127—591no—
1259#127—591no—
1260#127—591no—
1261#127—1181no—
1262#127—1181no—
1263#127—1181no—
1264#127—1181no—
1265#127—1181no—
1266#127—1181no—
1267#127—1181no—
1268#127—1181no—
1269#127C22×D5911yescharacteristic
1270#126—21no—
1271#126—1181no—
1272#126—1181no—
1273#126—1181no—
1274#126—1181no—
1275#126—1181no—
1276#125—21no—
1277#125—591no—
1278#125—1181no—
1279#125C22×D5911yescharacteristic
1280#124—591no—
1281#124—591no—
1282#124—591no—
1283#124—591no—
1284#124—1181no—
1285#124—1181no—
1286#124—1181no—
1287#124—1181no—
1288#124—1181no—
1289#124—1181no—
1290#123—21no—
1291#123—1181no—
1292#123—1181no—
1293#123—1181no—
1294#123—1181no—
1295#123—1181no—
1296#123—1181no—
1297#123—1181no—
1298#123—1181no—
1299#123—1181no—
1300C22⋊Q8—591no—
1301C22⋊Q8—591no—
1302C22⋊Q8—591no—
1303C22⋊Q8—591no—
1304C22⋊Q8—1181no—
1305C22⋊Q8—1181no—
1306C22⋊Q8—1181no—
1307C22⋊Q8—1181no—
1308C22⋊Q8C22×D5911yescharacteristic
1309C22⋊Q8C22×D5911yescharacteristic
1310#121—21no—
1311#121—21no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—591no—
1319#121—591no—
1320#121—591no—
1321#121—591no—
1322#121—591no—
1323#121—591no—
1324#121—591no—
1325#121—591no—
1326#121—591no—
1327#121—591no—
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#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121—1181no—
1350#121C22×D5911yescharacteristic
1351#121C22×D5911yescharacteristic
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359#120—1181no—
1360#120—1181no—
1361#120—1181no—
1362#120—1181no—
1363#120—1181no—
1364#120—1181no—
1365#120—1181no—
1366#120—1181no—
1367#120—1181no—
1368C4×Q8—591no—
1369C4×Q8—591no—
1370C4×Q8C22×D5911yescharacteristic
1371C4×Q8C22×D5911yescharacteristic
1372C4×D4—21no—
1373C4×D4—591no—
1374C4×D4—591no—
1375C4×D4—591no—
1376C4×D4—591no—
1377C4×D4—591no—
1378C4×D4—591no—
1379C4×D4—591no—
1380C4×D4—1181no—
1381C4×D4—1181no—
1382C4×D4—1181no—
1383C4×D4—1181no—
1384C4×D4—1181no—
1385C4×D4—1181no—
1386C4×D4—1181no—
1387C4×D4—1181no—
1388C4×D4—1181no—
1389C4×D4—1181no—
1390C4×D4—1181no—
1391C4×D4C22×D5911yescharacteristic
1392#117—21no—
1393#117—591no—
1394#117—591no—
1395#117—1181no—
1396#117—1181no—
1397#117—1181no—
1398#117—1181no—
1399#117C22×D5911yescharacteristic
1400C2×C4⋊C4—591no—
1401C2×C4⋊C4C22×D5911yescharacteristic
1402C2×C22⋊C4—1181no—
1403C2×C22⋊C4—1181no—
1404C2×C42—591no—
1405C2×C42—1181no—
1406#107—591no—
1407#107—591no—
1408#107—591no—
1409#107C22×D5911yescharacteristic
1410#106—591no—
1411#106—591no—
1412#106C22×D5911yescharacteristic
1413#106C22×D5911yescharacteristic
1414C4⋊C8—591no—
1415C4⋊C8—591no—
1416C4⋊C8—591no—
1417C4⋊C8C22×D5911yescharacteristic
1418#103—591no—
1419#103—591no—
1420#103—591no—
1421#103—591no—
1422#103C22×D5911yescharacteristic
1423#103C22×D5911yescharacteristic
1424#103C22×D5911yescharacteristic
1425#103C22×D5911yescharacteristic
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102—591no—
1438#102—591no—
1439#102—591no—
1440#102—591no—
1441#102—591no—
1442#102—591no—
1443#102—591no—
1444#102C22×D5911yescharacteristic
1445#102C22×D5911yescharacteristic
1446#102C22×D5911yescharacteristic
1447#102C22×D5911yescharacteristic
1448#102C22×D5911yescharacteristic
1449#102C22×D5911yescharacteristic
1450C22⋊C8—591no—
1451C22⋊C8—591no—
1452C22⋊C8—591no—
1453C22⋊C8—591no—
1454C22⋊C8—591no—
1455C22⋊C8—591no—
1456C22⋊C8—591no—
1457C22⋊C8—591no—
1458C22⋊C8—591no—
1459C22⋊C8—591no—
1460C22⋊C8C22×D5911yescharacteristic
1461C22⋊C8C22×D5911yescharacteristic
1462#97—591no—
1463#97—591no—
1464#97—591no—
1465#97C22×D5911yescharacteristic
1466C24—1181no—
1467C24—1181no—
1468C24—1181no—
1469C24—1181no—
1470C24—1181no—
1471C24—1181no—
1472C24—1181no—
1473#41—22no—
1474#41—22no—
1475#41—41no—
1476#41—41no—
1477#41—1182no—
1478#41—1182no—
1479#41—1182no—
1480#41—1182no—
1481#41—2361no—
1482#41—2361no—
1483#41—2361no—
1484#41—2361no—
1485#41—2361no—
1486#41—2361no—
1487#41—2364no—
1488#41—2364no—
1489#41—2361no—
1490#41—2361no—
1491#41—2361no—
1492#41—2361no—
1493C2×Q8—591no—
1494C2×Q8—591no—
1495C2×Q8—591no—
1496C2×Q8—1181no—
1497C2×Q8—2361no—
1498C2×Q8—2361no—
1499C2×Q8C23×D5911yescharacteristic
1500C2×Q8C23×D5911yescharacteristic
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—591no—
1517C2×D4—591no—
1518C2×D4—591no—
1519C2×D4—591no—
1520C2×D4—591no—
1521C2×D4—1182no—
1522C2×D4—1182no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—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—1182no—
1543C2×D4—1182no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—1181no—
1550C2×D4—1181no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—1181no—
1554C2×D4—1181no—
1555C2×D4—4722no—
1556C2×D4—4722no—
1557C2×D4—4722no—
1558C2×D4—4722no—
1559C2×D4—4722no—
1560C2×D4—4722no—
1561C2×D4—2361no—
1562C2×D4—2361no—
1563C2×D4—2361no—
1564C2×D4—2361no—
1565C2×D4—2364no—
1566C2×D4—2364no—
1567C2×D4—2361no—
1568C2×D4—2361no—
1569C2×D4—2361no—
1570C2×D4—2361no—
1571C2×D4—2361no—
1572C2×D4—2361no—
1573C2×D4—2364no—
1574C2×D4—2364no—
1575C2×D4—2364no—
1576C2×D4—2364no—
1577C2×D4D4×D5911yescharacteristic
1578C2×D4C23×D5911yescharacteristic
1579C2×D4C23×D5911yescharacteristic
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—21no—
1583C22×C4—591no—
1584C22×C4—591no—
1585C22×C4—591no—
1586C22×C4—591no—
1587C22×C4—591no—
1588C22×C4—1181no—
1589C22×C4—1181no—
1590C22×C4—1181no—
1591C22×C4—1181no—
1592C22×C4—1181no—
1593C22×C4—1181no—
1594C22×C4—1181no—
1595C22×C4—1181no—
1596C22×C4—1181no—
1597C22×C4—1181no—
1598C22×C4—1181no—
1599C22×C4C23×D5911yescharacteristic
1600C22×C4C23×D5911yescharacteristic
1601Q16—22no—
1602Q16—1182no—
1603SD16—41no—
1604SD16—41no—
1605SD16—1182no—
1606SD16—1182no—
1607SD16—1182no—
1608SD16—1182no—
1609SD16—2361no—
1610SD16—2361no—
1611SD16—2361no—
1612SD16—2361no—
1613SD16—2361no—
1614SD16—2361no—
1615D8—1182no—
1616D8—1182no—
1617D8—2361no—
1618D8—2361no—
1619D8—2361no—
1620D8—2361no—
1621D8—2361no—
1622D8—2361no—
1623D8—2361no—
1624D8—2361no—
1625M16—41no—
1626M16—2361no—
1627M16—2361no—
1628M16—2361no—
1629C2×C8—41no—
1630C2×C8—591no—
1631C2×C8—591no—
1632C2×C8—591no—
1633C2×C8—591no—
1634C2×C8—2361no—
1635C2×C8—2361no—
1636C2×C8—2361no—
1637C2×C8C23×D5911yescharacteristic
1638C2×C8C23×D5911yescharacteristic
1639C2×C8C23×D5911yescharacteristic
1640C2×C8C23×D5911yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—21no—
1647C4⋊C4—21no—
1648C4⋊C4—591no—
1649C4⋊C4—591no—
1650C4⋊C4—591no—
1651C4⋊C4—591no—
1652C4⋊C4—591no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
1655C4⋊C4—1181no—
1656C4⋊C4—1181no—
1657C4⋊C4—1181no—
1658C4⋊C4—1181no—
1659C4⋊C4—1181no—
1660C4⋊C4—1181no—
1661C4⋊C4—1181no—
1662C4⋊C4D4×D5911yescharacteristic
1663C4⋊C4C23×D5911yescharacteristic
1664C4⋊C4C23×D5911yescharacteristic
1665C4⋊C4C23×D5911yescharacteristic
1666C4⋊C4C23×D5911yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—591no—
1673C22⋊C4—591no—
1674C22⋊C4—591no—
1675C22⋊C4—591no—
1676C22⋊C4—591no—
1677C22⋊C4—591no—
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⋊C4—1181no—
1701C22⋊C4—1181no—
1702C22⋊C4—1181no—
1703C22⋊C4—1181no—
1704C22⋊C4D4×D5911yescharacteristic
1705C22⋊C4D4×D5911yescharacteristic
1706C42—21no—
1707C42—21no—
1708C42—21no—
1709C42—591no—
1710C42—591no—
1711C42—591no—
1712C42—1181no—
1713C42—1181no—
1714C42—1181no—
1715C42—1181no—
1716C42C23×D5911yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—591no—
1720C23—591no—
1721C23—591no—
1722C23—1181no—
1723C23—1181no—
1724C23—1181no—
1725C23—1181no—
1726C23—1181no—
1727C23—4721no—
1728C23—4721no—
1729C23—4721no—
1730C23—4721no—
1731C23—4721no—
1732C23—4721no—
1733C23—4721no—
1734C23—4721no—
1735C23—4721no—
1736C23—4721no—
1737C23—4721no—
1738C23—4721no—
1739C23—4721no—
1740C23—4721no—
1741C23—4721no—
1742C23—2362no—
1743C23—2362no—
1744C23—2362no—
1745C23—2362no—
1746C23—2362no—
1747C23—2362no—
1748C23C2×D4×D5911yescharacteristic
1749C23C2×D4×D5911yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—1181no—
1754Q8—1181no—
1755Q8—4721no—
1756Q8—2361no—
1757Q8—2361no—
1758Q8#1427377312yes—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—41no—
1764D4—42no—
1765D4—42no—
1766D4—42no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4—592no—
1771D4—1184no—
1772D4—1181no—
1773D4—1181no—
1774D4—1181no—
1775D4—1181no—
1776D4—1181no—
1777D4—1181no—
1778D4—1181no—
1779D4—1181no—
1780D4—1181no—
1781D4—4721no—
1782D4—4721no—
1783D4—4721no—
1784D4—4721no—
1785D4—4721no—
1786D4—4721no—
1787D4—4721no—
1788D4—4721no—
1789D4—4721no—
1790D4—4721no—
1791D4—4721no—
1792D4—4721no—
1793D4—4721no—
1794D4—4721no—
1795D4—4721no—
1796D4—4721no—
1797D4—4721no—
1798D4—4721no—
1799D4—2361no—
1800D4—2361no—
1801D4—2361no—
1802D4—2362no—
1803D4—2362no—
1804D4—2362no—
1805D4—2362no—
1806D4—2362no—
1807D4—2361no—
1808D4—2361no—
1809D4—2361no—
1810D4—2361no—
1811D4—2361no—
1812D4—2361no—
1813D4—2362no—
1814D4—2362no—
1815D4—2362no—
1816D4—2362no—
1817D4—2362no—
1818D4—2362no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—42no—
1830C2×C4—42no—
1831C2×C4—81no—
1832C2×C4—591no—
1833C2×C4—591no—
1834C2×C4—591no—
1835C2×C4—591no—
1836C2×C4—591no—
1837C2×C4—1184no—
1838C2×C4—1181no—
1839C2×C4—1181no—
1840C2×C4—1181no—
1841C2×C4—1181no—
1842C2×C4—1181no—
1843C2×C4—1181no—
1844C2×C4—1181no—
1845C2×C4—1181no—
1846C2×C4—1181no—
1847C2×C4—4721no—
1848C2×C4—4721no—
1849C2×C4—4721no—
1850C2×C4—4721no—
1851C2×C4—4721no—
1852C2×C4—4721no—
1853C2×C4—2361no—
1854C2×C4—2361no—
1855C2×C4—2362no—
1856C2×C4—2362no—
1857C2×C4—2362no—
1858C2×C4—2362no—
1859C2×C4C2×D4×D5911yescharacteristic
1860C2×C4C2×D4×D5911yescharacteristic
1861C2×C4C2×D4×D5911yescharacteristic
1862C2×C4C2×D4×D5911yescharacteristic
1863C2×C4C24×D5911yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1181no—
1869C8—1181no—
1870C8—1181no—
1871C8—1181no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—1181no—
1885C22—1182no—
1886C22—1181no—
1887C22—1181no—
1888C22—1181no—
1889C22—1181no—
1890C22—1181no—
1891C22—1181no—
1892C22—1181no—
1893C22—1181no—
1894C22—9442no—
1895C22—9442no—
1896C22—9442no—
1897C22—9442no—
1898C22—9442no—
1899C22—9442no—
1900C22—9442no—
1901C22—2361no—
1902C22—2361no—
1903C22—2361no—
1904C22—2361no—
1905C22—2361no—
1906C22—2361no—
1907C22—2361no—
1908C22—2361no—
1909C22—2361no—
1910C22—2361no—
1911C22—2361no—
1912C22—2361no—
1913C22—2361no—
1914C22—2361no—
1915C22C22×D4×D5911yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—22no—
1919C4—21no—
1920C4—21no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—1181no—
1927C4—1181no—
1928C4—1181no—
1929C4—1181no—
1930C4—1181no—
1931C4—2361no—
1932C4—2361no—
1933C4—2361no—
1934C4H(5,𝔽2)×D5911yescharacteristic
1935C4C2×#1427377311yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—81no—
1939C2—81no—
1940C2—4721no—
1941C2—4721no—
1942C2—4721no—
1943C2—4721no—
1944C2—2361no—
1945C2—2361no—
1946C2—2361no—
1947C2—2362no—
1948C2#2143772611yescharacteristic
1949C2#2143887311yescharacteristic
1950C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3317C2
socleC22×C59C23×D4
hypercenter#3317D59
hypocenterC59#61675
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3317

Complements

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

NH ≅ G/Ntype
1. #21438524C2semidirect
2. #21437873C2semidirect
3. #21436236C2semidirect
4. #21436235C2semidirect
5. #21436218C2semidirect
6. #21436120C2semidirect
7. #21436111C2semidirect
8. #21436103C2semidirect
9. #21436099C2semidirect
10. #21435685C2semidirect
11. #21435683C2semidirect
12. #21435639C2semidirect
13. #21435637C2semidirect
14. #21435598C2semidirect
15. #21435586C2semidirect
16. #21435581C2semidirect
17. #21435573C2semidirect
18. #21435118C2semidirect
19. #21435115C2semidirect
20. #21434962C2semidirect
21. #21434960C2semidirect
22. #21434953C2semidirect
23. #21434949C2semidirect
24. #21434212C2semidirect
25. #21434211C2semidirect
26. #21433404C2semidirect
27. #21433402C2semidirect
28. #21433370C2semidirect
29. #21433367C2semidirect
30. #21433164C2semidirect
31. C59×#3317C2semidirect
33. C2×#14273773C22semidirect
34. C2×#14273759C22semidirect
35. C2×#14273755C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273752C22semidirect
38. C2×#14273750C22semidirect
39. C2×#14273747C22semidirect
40. C2×SD16×D59C22semidirect
41. C22×D472C22semidirect
45. #16838105C22semidirect
46. #16838100C22semidirect
47. #16838091C22semidirect
49. #16838074C22semidirect
51. #16838071C22semidirect
52. #16838064C22semidirect
53. #16838062C22semidirect
54. #16838048C22semidirect
55. #16838043C22semidirect
59. #16838037C22semidirect
63. #16838036C22semidirect
68. #16837983C22semidirect
69. #16837982C22semidirect
70. #16837975C22semidirect
71. #16837971C22semidirect
75. #16837968C22semidirect
79. #127×D59C22semidirect
80. #16837939C22semidirect
81. #16837937C22semidirect
82. C4×#11745689C22semidirect
83. #16837791C22semidirect
84. #16837789C22semidirect
85. #16837788C22semidirect
86. #16837788C22semidirect
87. #16837768C22semidirect
88. #16837765C22semidirect
89. #16837765C22semidirect
90. #16837746C22semidirect
91. #16837741C22semidirect
92. #16837729C22semidirect
93. #16837728C22semidirect
94. #16837728C22semidirect
95. #16837726C22semidirect
96. #16837725C22semidirect
97. #16837719C22semidirect
98. #16837717C22semidirect
99. #16837715C22semidirect
100. #16837707C22semidirect
101. #16837701C22semidirect
102. #16837699C22semidirect
103. #16837656C22semidirect
104. #16837656C22semidirect
105. #16837655C22semidirect
106. #16837654C22semidirect
107. #16837650C22semidirect
108. #16837647C22semidirect
109. #16837646C22semidirect
110. #16837639C22semidirect
111. #16837637C22semidirect
112. #16837637C22semidirect
113. #16837636C22semidirect
114. #16837633C22semidirect
115. #16837632C22semidirect
116. #16837631C22semidirect
117. #16837626C22semidirect
118. #16837624C22semidirect
119. #16837620C22semidirect
120. #16837618C22semidirect
121. #16837602C22semidirect
122. #16837601C22semidirect
123. #16837601C22semidirect
124. #16837598C22semidirect
125. #16837596C22semidirect
126. #16837596C22semidirect
127. #16837594C22semidirect
128. #16837567C22semidirect
129. #16837567C22semidirect
130. #16837564C22semidirect
131. #16837563C22semidirect
132. #16837555C22semidirect
133. #16837554C22semidirect
134. #16837554C22semidirect
135. #16837554C22semidirect
136. #16837552C22semidirect
137. #16837552C22semidirect
138. #16837551C22semidirect
139. #16837551C22semidirect
142. #16837550C22semidirect
143. #16837550C22semidirect
144. #16837550C22semidirect
145. #16837550C22semidirect
146. #16837549C22semidirect
147. #16837547C22semidirect
148. #16837546C22semidirect
149. #16837545C22semidirect
150. #16837542C22semidirect
151. #16837539C22semidirect
152. #16837538C22semidirect
153. #16837538C22semidirect
154. #16837537C22semidirect
155. #16837537C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837537C22semidirect
159. #16837537C22semidirect
160. #16837537C22semidirect
161. #16837535C22semidirect
162. #16837515C22semidirect
163. #16837513C22semidirect
164. #16837506C22semidirect
165. #16837505C22semidirect
166. #16837501C22semidirect
167. #16837500C22semidirect
168. #16837500C22semidirect
169. #16837476C22semidirect
170. #16837475C22semidirect
171. #16837474C22semidirect
172. #16837473C22semidirect
173. #16837472C22semidirect
174. #16837471C22semidirect
175. #16837470C22semidirect
176. #16837458C22semidirect
177. #16837457C22semidirect
178. #16837406C22semidirect
179. #16837405C22semidirect
180. #16837402C22semidirect
181. #16837397C22semidirect
182. C2×#14273647C22semidirect
183. #102×D59C22semidirect
184. #16837370C22semidirect
185. #16837368C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C59×#552C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#481C22semidirect
193. C59×#479C22semidirect
194. C59×#468C22semidirect
195. C59×#465C22semidirect
196. C59×#460C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C59×#441C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C59×#416C22semidirect
966. #3317D59semidirect
1023. #552C2×D59semidirect
1067. #490C2×D59semidirect
1075. #482C2×D59semidirect
1077. #481C2×D59semidirect
1081. #479C2×D59semidirect
1091. #468C2×D59semidirect
1099. #465C2×D59semidirect
1107. #460C2×D59semidirect
1116. #452C2×D59semidirect
1117. #452C2×D59semidirect
1151. #441C2×D59semidirect
1163. #435C2×D59semidirect
1169. #417C2×D59semidirect
1171. #416C2×D59semidirect
1178. C59#61675semidirect

Maximal subgroups

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

subgroupindex
#214385242
#214378732
#214362362
#214362352
#214362182
#214361202
#214361112
#214361032
#214360992
#214356852
#214356832
#214356392
#214356372
#214355982
#214355862
#214355812
#214355732
#214351182
#214351152
#214349622
#214349602
#214349532
#214349492
#214342122
#214342112
#214334042
#214334022
#214333702
#214333672
#214331642
C59×#33172
#6167559