Finite Group Databasebeta

← #29475228

Subgroups — #29475228

Order 15104.

2164 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#21438408C211yesmaximal, characteristic, complemented
2#21437766C211yesmaximal, characteristic, complemented
3#21436420C211yesmaximal, characteristic, complemented
4#21436354C211yesmaximal, characteristic, complemented
5#21436335C211yesmaximal, characteristic, complemented
6#21436317C211yesmaximal, characteristic, complemented
7#21436279C211yesmaximal, characteristic, complemented
8#21436242C211yesmaximal, characteristic, complemented
9#21436227C211yesmaximal, characteristic, complemented
10#21436054C211yesmaximal, characteristic, complemented
11#21435722C211yesmaximal, characteristic, complemented
12#21435717C211yesmaximal, characteristic, complemented
13#21435717C211yesmaximal, characteristic, complemented
14#21435702C211yesmaximal, characteristic, complemented
15#21435683C211yesmaximal, characteristic, complemented
16#21435631C211yesmaximal, characteristic, complemented
17#21435582C211yesmaximal, characteristic, complemented
18#21435578C211yesmaximal, characteristic, complemented
19#21435184C211yesmaximal, characteristic, complemented
20#21435148C211yesmaximal, characteristic, complemented
21#21435006C211yesmaximal, characteristic, complemented
22#21434953C211yesmaximal, characteristic, complemented
23#21434915C211yesmaximal, characteristic, complemented
24#21434895C211yesmaximal, characteristic, complemented
25#21434295C211yesmaximal, characteristic, complemented
26#21433404C211yesmaximal, characteristic, complemented
27#21433361C211yesmaximal, characteristic, complemented
28#21433345C211yesmaximal, characteristic, complemented
29#21433339C211yesmaximal, characteristic, complemented
30#21433157C211yesmaximal, characteristic, complemented
31C59×#3125C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic, complemented
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273754C2211yescharacteristic, complemented
38C2×#14273754C2211yescharacteristic, complemented
39C2×#14273751C2211yescharacteristic, complemented
40C2×#14273750C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42#16838148—21no—
43#16838143—21no—
44#16838118C2211yescharacteristic, complemented
45#16838102C2211yescharacteristic, complemented
46#16838093C2211yescharacteristic, complemented
47#16838077—21no—
48#16838074C2211yescharacteristic
49#16838074C2211yescharacteristic, complemented
50#16838074C2211yescharacteristic, complemented
51#16838064C2211yescharacteristic, complemented
52#16838064C2211yescharacteristic, complemented
53#16838055C2211yescharacteristic, complemented
54#16838047—21no—
55#16838047—21no—
56#16838047C2211yescharacteristic
57#16838047C2211yescharacteristic, complemented
58#16838045C2211yescharacteristic, complemented
59#16838045C2211yescharacteristic, complemented
60#16838043—21no—
61D4×D236—21no—
62D4×D236—21no—
63D4×D236C2211yescharacteristic, complemented
64D4×D236C2211yescharacteristic, complemented
65D4×D236C2211yescharacteristic, complemented
66#16838007C2211yescharacteristic, complemented
67#16838004—21no—
68#16837986—21no—
69#16837983—21no—
70#16837983C2211yescharacteristic, complemented
71#16837982C2211yescharacteristic, complemented
72#16837971—21no—
73#16837971C2211yescharacteristic, complemented
74#16837970—21no—
75#16837968C2211yescharacteristic, complemented
76#16837963—21no—
77#16837915C2211yescharacteristic, complemented
78#16837914—21no—
79#16837914C2211yescharacteristic
80C2×#14273702—21no—
81C2×#14273702C2211yescharacteristic, complemented
82#121×D59C2211yescharacteristic, complemented
83#16837792C2211yescharacteristic, complemented
84#16837791C2211yescharacteristic, complemented
85#16837784C2211yescharacteristic, complemented
86#16837779C2211yescharacteristic, complemented
87#16837767C2211yescharacteristic, complemented
88#16837764C2211yescharacteristic, complemented
89#16837757C2211yescharacteristic, complemented
90#16837750C2211yescharacteristic, complemented
91#16837746C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837722C2211yescharacteristic, complemented
99#16837720C2211yescharacteristic, complemented
100#16837715C2211yescharacteristic, complemented
101#16837709C2211yescharacteristic, complemented
102#16837702C2211yescharacteristic, complemented
103#16837659C2211yescharacteristic, complemented
104#16837656C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic, complemented
106#16837656C2211yescharacteristic, complemented
107#16837656C2211yescharacteristic, complemented
108#16837656C2211yescharacteristic, complemented
109#16837656C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837651C2211yescharacteristic, complemented
113#16837651C2211yescharacteristic, complemented
114#16837647C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837634C2211yescharacteristic, complemented
117#16837632C2211yescharacteristic, complemented
118#16837632C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837618C2211yescharacteristic, complemented
121#16837618C2211yescharacteristic, complemented
122#16837617C2211yescharacteristic, complemented
123#16837602C2211yescharacteristic, complemented
124#16837602C2211yescharacteristic, complemented
125#16837598C2211yescharacteristic, complemented
126#16837598C2211yescharacteristic, complemented
127#16837597C2211yescharacteristic, complemented
128#16837597C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837563C2211yescharacteristic, complemented
131#16837563C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837561C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837552C2211yescharacteristic, complemented
136#16837551C2211yescharacteristic, complemented
137#16837550C2211yescharacteristic, complemented
138#16837550C2211yescharacteristic, complemented
139#16837550C2211yescharacteristic, complemented
140#16837550C2211yescharacteristic, complemented
141#16837550C2211yescharacteristic, complemented
142#16837550C2211yescharacteristic, complemented
143#16837549C2211yescharacteristic, complemented
144#16837549C2211yescharacteristic, complemented
145#16837548C2211yescharacteristic, complemented
146#16837547C2211yescharacteristic, 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#16837535C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837534C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837500C2211yescharacteristic, complemented
165C4×#11745671C2211yescharacteristic, complemented
166C4×#11745669C2211yescharacteristic, complemented
167#16837481C2211yescharacteristic, complemented
168#16837481C2211yescharacteristic, complemented
169#16837479C2211yescharacteristic, complemented
170#16837479C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic, complemented
175#16837463C2211yescharacteristic, complemented
176#16837409C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837405C2211yescharacteristic, complemented
179#16837402C2211yescharacteristic, complemented
180#16837402C2211yescharacteristic, complemented
181#16837400C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837367C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187#16837364C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic, complemented
189C59×#520C2211yescharacteristic, complemented
190C59×#483C2211yescharacteristic, complemented
191C59×#481C2211yescharacteristic, complemented
192C59×#476C2211yescharacteristic, complemented
193C59×#475C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#452C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C59×#442C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C4×SD16×C59C2211yescharacteristic, complemented
201C4×SD16×C59C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745685—21no—
212C2×#11745685—21no—
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745687—21no—
216C2×#11745687C2311yescharacteristic
217#41×D59—42no—
218#41×D59—42no—
219C2×Q8×D59C2311yescharacteristic
220C22×D236—21no—
221C22×D236—21no—
222C22×D236—21no—
223C22×D236—21no—
224C22×D236—21no—
225C22×D236C2311yescharacteristic
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59C2311yescharacteristic
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C2×D4×D59C2311yescharacteristic
235C22×C4×D59—21no—
236C22×C4×D59C2311yescharacteristic
237#14273759—42no—
238#14273754—42no—
239#14273754—42no—
240#14273754—42no—
241#14273754—42no—
242#14273751—42no—
243#14273750—42no—
244C2×#11745672C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×D472C2311yescharacteristic
254C2×D472C2311yescharacteristic
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×D472C2311yescharacteristic
258C2×D472C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264D8×D59—42no—
265C2×#11745659C2311yescharacteristic
266C2×#11745659C2311yescharacteristic
267C2×#11745659C2311yescharacteristic
268C2×#11745659C2311yescharacteristic
269C2×#11745659C2311yescharacteristic
270C2×#11745659C2311yescharacteristic
271C2×C8×D59C2311yescharacteristic
272C2×C8×D59C2311yescharacteristic
273#14273724—21no—
274#14273724—21no—
275#14273724—21no—
276#14273724C2311yescharacteristic
277#14273724C2311yescharacteristic
278#14273724C2311yescharacteristic
279#14273723—21no—
280#14273721—21no—
281#14273720—21no—
282#14273719C2311yescharacteristic
283#14273717—21no—
284#14273716—21no—
285#14273716—21no—
286#14273715—21no—
287#14273715—21no—
288#14273715C2311yescharacteristic
289#14273715C2311yescharacteristic
290#14273713—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712—21no—
296#14273712—21no—
297#14273711—21no—
298#14273711—21no—
299#14273711D411yescharacteristic
300#14273711D411yescharacteristic
301#14273710—21no—
302#14273709—21no—
303#14273709—21no—
304#14273707—21no—
305#14273707—21no—
306#14273707—21no—
307#14273707D411yescharacteristic
308#14273707D411yescharacteristic
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
311#14273705—21no—
312#14273703—21no—
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
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#14273702—21no—
328#14273702—21no—
329#14273702—21no—
330#14273702D411yescharacteristic
331#14273702D411yescharacteristic
332#14273702C2311yescharacteristic
333#14273702C2311yescharacteristic
334#14273702C2311yescharacteristic
335#14273702C2311yescharacteristic
336#14273702C2311yescharacteristic
337#14273702C2311yescharacteristic
338#14273702C2311yescharacteristic
339#14273702C2311yescharacteristic
340#14273702C2311yescharacteristic
341#14273702C2311yescharacteristic
342#14273701—21no—
343#14273701—21no—
344#14273701—21no—
345#14273701—21no—
346#14273701—21no—
347#14273701—21no—
348#14273701—21no—
349#14273701C2311yescharacteristic
350#14273701C2311yescharacteristic
351#14273700—21no—
352#14273700—21no—
353#14273700—21no—
354#14273700—21no—
355#14273700—21no—
356#14273700—21no—
357#14273700—21no—
358#14273700—21no—
359#14273699—21no—
360#14273698C2311yescharacteristic
361#14273698C2311yescharacteristic
362#14273697—21no—
363#14273697—21no—
364#14273697—21no—
365#14273697—21no—
366#14273697—21no—
367#14273697—21no—
368#14273697—21no—
369#14273697—21no—
370#14273697—21no—
371#14273697—21no—
372#14273697—21no—
373#14273697—21no—
374#14273697—21no—
375#14273697—21no—
376#14273697D411yescharacteristic
377#14273697D411yescharacteristic
378#14273695—21no—
379C4×D236—21no—
380C4×D236—21no—
381C4×D236—21no—
382C4×D236—21no—
383C4×D236—21no—
384C4×D236C2311yescharacteristic
385C4×D236C2311yescharacteristic
386C4×D236C2311yescharacteristic
387C4×D236C2311yescharacteristic
388C4×D236C2311yescharacteristic
389C4×D236C2311yescharacteristic
390#14273689—21no—
391C4×C22⋊D59—21no—
392(C22⋊D59)⋊C4—21no—
393#14273685—21no—
394#14273685C2311yescharacteristic
395#14273685C2311yescharacteristic
396#14273684—21no—
397C4⋊C4×D59C2311yescharacteristic
398C4⋊C4×D59C2311yescharacteristic
399C2×(C2×D59)⋊C4—21no—
400C2×(C2×D59)⋊C4—21no—
401C2×(C2×D59)⋊C4—21no—
402C22⋊C4×D59—21no—
403C22⋊C4×D59—21no—
404C22⋊C4×D59—21no—
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410C4⋊(C59⋊C8)C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444(C2×D59)⋊C8C2311yescharacteristic
445#14273638C2311yescharacteristic
446C4×C59⋊C8C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×Q16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453#126×C59—21no—
454#124×C59—21no—
455#124×C59C2311yescharacteristic
456#123×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460C4×Q8×C59C2311yescharacteristic
461C4×Q8×C59C2311yescharacteristic
462C4×Q8×C59C2311yescharacteristic
463C4×D4×C59—21no—
464C4×D4×C59—21no—
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59C2311yescharacteristic
470C2×C4⋊C4×C59—21no—
471C2×C4⋊C4×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473#106×C59C2311yescharacteristic
474#106×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477C4⋊C8×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488#97×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59C2×D411yescharacteristic
497#41×C59—22no—
498#41×C59—22no—
499C2×Q8×C59—21no—
500C2×Q8×C59C2411yescharacteristic
501C2×Q8×C59C2411yescharacteristic
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59C2411yescharacteristic
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59C2×D411yescharacteristic
524C2×C22⋊D59C2×D411yescharacteristic
525C22×Dic59—21no—
526C22×Dic59C2×D411yescharacteristic
527#11745689—22no—
528#11745689—22no—
529#11745689—22no—
530#11745689—41no—
531#11745689—41no—
532#11745689—41no—
533#11745689—41no—
534#11745689—41no—
535#11745689—41no—
536#11745689—41no—
537#11745689—82no—
538Q8×D59—22no—
539Q8×D59—41no—
540#11745687—22no—
541#11745687—41no—
542#11745687—44no—
543D4×D59—22no—
544D4×D59—22no—
545D4×D59—22no—
546D4×D59—41no—
547D4×D59—41no—
548D4×D59—41no—
549D4×D59—41no—
550D4×D59—41no—
551D4×D59—41no—
552D4×D59—41no—
553D4×D59—44no—
554D4×D59—44no—
555D4×D59—44no—
556D4×D59—82no—
557#11745685—41no—
558#11745685—41no—
559#11745685—41no—
560#11745685—41no—
561#11745685—44no—
562#11745685—44no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—41no—
586C2×D236—41no—
587C2×D236—44no—
588C2×D236—82no—
589C2×D236—82no—
590C2×D236—82no—
591C2×D236—82no—
592C2×D236C2×D411yescharacteristic
593C2×D236C2×D411yescharacteristic
594C2×D236C2×D411yescharacteristic
595C2×D236C2×D411yescharacteristic
596C2×D236C2×D411yescharacteristic
597C2×D236C2411yescharacteristic
598C2×D236C2411yescharacteristic
599C2×D236C2411yescharacteristic
600C2×D236C2411yescharacteristic
601C2×D236C2411yescharacteristic
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—41no—
614C2×C4×D59—41no—
615C2×C4×D59—44no—
616C2×C4×D59C2×D411yescharacteristic
617C2×C4×D59C2×D411yescharacteristic
618C2×C4×D59C2411yescharacteristic
619C2×C4×D59C2411yescharacteristic
620C2×C4×D59C2411yescharacteristic
621C2×C4×D59C2411yescharacteristic
622C2×Dic118—21no—
623C2×Dic118C2×D411yescharacteristic
624C2×Dic118C2411yescharacteristic
625Q16×C59—22no—
626SD16×C59—22no—
627SD16×C59—22no—
628D8×C59—22no—
629C2×C8×C59C2411yescharacteristic
630C2×C8×C59C2411yescharacteristic
631C2×C8×C59C2411yescharacteristic
632C2×C8×C59C2411yescharacteristic
633C4⋊C4×C59—21no—
634C4⋊C4×C59—21no—
635C4⋊C4×C59—21no—
636C4⋊C4×C59—21no—
637C4⋊C4×C59—21no—
638C4⋊C4×C59—21no—
639C4⋊C4×C59C2×D411yescharacteristic
640C4⋊C4×C59C2×D411yescharacteristic
641C4⋊C4×C59C2411yescharacteristic
642C4⋊C4×C59C2411yescharacteristic
643C4⋊C4×C59C2411yescharacteristic
644C4⋊C4×C59C2411yescharacteristic
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C22⋊C4×C59—21no—
652C22⋊C4×C59C2×D411yescharacteristic
653C22⋊C4×C59C2×D411yescharacteristic
654C42×C59—21no—
655C42×C59—21no—
656C42×C59—21no—
657C42×C59C2411yescharacteristic
658C42×C59C2411yescharacteristic
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661#11745672—41no—
662#11745671—22no—
663#11745671—22no—
664#11745671—41no—
665#11745671—41no—
666#11745671—41no—
667#11745670—41no—
668#11745669—22no—
669#11745669—22no—
670#11745669—41no—
671#11745669—41no—
672#11745669—41no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊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
701(C2×D59)⋊C4C2×D411yescharacteristic
702(C2×D59)⋊C4C2×D411yescharacteristic
703(C2×D59)⋊C4C2×D411yescharacteristic
704(C2×D59)⋊C4C2×D411yescharacteristic
705C4⋊Dic59—21no—
706C4⋊Dic59—21no—
707C4⋊Dic59C2×D411yescharacteristic
708C4⋊Dic59C2×D411yescharacteristic
709C4⋊Dic59C2×D411yescharacteristic
710C4⋊Dic59C2×D411yescharacteristic
711C4⋊Dic59C2411yescharacteristic
712C4⋊Dic59C2411yescharacteristic
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C2×C59⋊C8C2411yescharacteristic
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725D472—41no—
726D472—41no—
727D472—41no—
728D472—41no—
729D472—41no—
730D472—41no—
731#11745660—41no—
732#11745660—41no—
733#11745659—41no—
734#11745659—41no—
735#11745659—41no—
736#11745659—41no—
737#11745659—41no—
738#11745659—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59C22×D411yescharacteristic
744C22×D59—21no—
745C22×D59—21no—
746C22×D59—21no—
747C22×D59—21no—
748C22×D59—21no—
749C22×D59—41no—
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×D59—81no—
768C22×D59—81no—
769C22×D59—81no—
770C22×D59C22×D411yescharacteristic
771C22×D59C22×D411yescharacteristic
772C22×D59C22×D411yescharacteristic
773C22×D59C22×D411yescharacteristic
774Q8×C59—21no—
775Q8×C59—21no—
776Q8×C59—21no—
777Q8×C59—81no—
778Q8×C59H(5,𝔽2)12yes—
779D4×C59—24no—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—21no—
783D4×C59—81no—
784D4×C59H(5,𝔽2)12yes—
785C2×C4×C59—24no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—81no—
795C2×C4×C59—81no—
796C2×C4×C59—81no—
797C2×C4×C59—81no—
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C22×D411yescharacteristic
800C2×C4×C59C22×D411yescharacteristic
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C2511yescharacteristic
804C22⋊D59—41no—
805C22⋊D59—41no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—41no—
821C2×Dic59—42no—
822C2×Dic59C22×D411yescharacteristic
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826D236—21no—
827D236—21no—
828D236—21no—
829D236—21no—
830D236—21no—
831D236—21no—
832D236—21no—
833D236—21no—
834D236—21no—
835D236—21no—
836D236—41no—
837D236—41no—
838D236—41no—
839D236—41no—
840D236—41no—
841D236—42no—
842D236—42no—
843D236—42no—
844D236—42no—
845D236—42no—
846D236—42no—
847D236—42no—
848D236—81no—
849D236—81no—
850D236—81no—
851D236—81no—
852D236—81no—
853D236—81no—
854D236—81no—
855D236—81no—
856D236—81no—
857D236—81no—
858D236—81no—
859D236—81no—
860D236—81no—
861D236—81no—
862D236—81no—
863C4×D59—21no—
864C4×D59—21no—
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—42no—
878C4×D59—42no—
879C4×D59—81no—
880C4×D59—81no—
881C4×D59—81no—
882C4×D59—81no—
883C4×D59—81no—
884Dic118—21no—
885Dic118—21no—
886Dic118—41no—
887Dic118—42no—
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#61653—591nomaximal, Sylow
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—22no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59C23×D411yescharacteristic
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—21no—
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—21no—
919C2×D59—41no—
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—82no—
935C2×D59—84no—
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—21no—
946C4×C59—22no—
947C4×C59—41no—
948C4×C59—41no—
949C4×C59—41no—
950C4×C59—41no—
951C4×C59—41no—
952C4×C59C2×H(5,𝔽2)11yescharacteristic
953C4×C59C2×H(5,𝔽2)11yescharacteristic
954Dic59—21no—
955Dic59—21no—
956Dic59—21no—
957Dic59—21no—
958Dic59—41no—
959Dic59—41no—
960Dic59—41no—
961#3542—591no—
962#3488—591no—
963#3332—591no—
964#3326—591no—
965#3325—591no—
966#3323—591no—
967#3321—591no—
968#3318—591no—
969#3317—591no—
970#3306—591no—
971#3275—591no—
972#3274—591no—
973#3274—591no—
974#3273—591no—
975#3271—591no—
976#3268—591no—
977#3264—591no—
978#3264—591no—
979#3224—591no—
980#3220—591no—
981#3204—591no—
982#3198—591no—
983#3194—591no—
984#3192—591no—
985#3125D5911yescharacteristic, complemented
986#3119—591no—
987#3012—591no—
988#3008—591no—
989#3006—591no—
990#3005—591no—
991#2978—591no—
992C2×C59—41no—
993C2×C59—42no—
994C2×C59—81no—
995C2×C59#348411yescharacteristic
996C2×C59#358511yescharacteristic
997C2×C59#358511yescharacteristic
998D59—41no—
999D59—41no—
1000D59—41no—
1001D59—41no—
1002D59—81no—
1003D59—81no—
1004D59—81no—
1005D59—81no—
1006D59—81no—
1007C2×H(5,𝔽2)—591no—
1008C22×#41—591no—
1009C2×#137—591no—
1010C2×AGL(1,ℤ/8)—591no—
1011C2×AGL(1,ℤ/8)—591no—
1012C2×AGL(1,ℤ/8)—591no—
1013C2×AGL(1,ℤ/8)—591no—
1014C2×AGL(1,ℤ/8)—591no—
1015C2×#135—591no—
1016C22×D8—591no—
1017#562—1181no—
1018#560—1181no—
1019#555—591no—
1020#553—591no—
1021#552—591no—
1022#551—1181no—
1023#550—591no—
1024#550—591no—
1025#550—591no—
1026#548—591no—
1027#548—591no—
1028#547—591no—
1029#546—591no—
1030#546—591no—
1031#546—591no—
1032#546—591no—
1033#546—1181no—
1034#546—1181no—
1035#546—1181no—
1036D42—591no—
1037D42—591no—
1038D42—591no—
1039D42—1181no—
1040D42—1181no—
1041#542C2×D5911yescharacteristic, complemented
1042#540—591no—
1043#540—1181no—
1044#538—1181no—
1045#537—591no—
1046#537—591no—
1047#537—1181no—
1048#535—591no—
1049#535—591no—
1050#535—1181no—
1051#535—1181no—
1052#534—1181no—
1053#525—591no—
1054#525—591no—
1055#525—1181no—
1056C2×#121—591no—
1057C2×#121—591no—
1058C2×#121—1181no—
1059#520C2×D5911yescharacteristic, complemented
1060#496—591no—
1061#496—591no—
1062#495—591no—
1063#493—591no—
1064#490—591no—
1065#489—591no—
1066#488—591no—
1067#486—591no—
1068#485—591no—
1069#483—591no—
1070#483C2×D5911yescharacteristic, complemented
1071#482—591no—
1072#482—591no—
1073#482—591no—
1074#481—591no—
1075#481—591no—
1076#481—591no—
1077#481—591no—
1078#481C2×D5911yescharacteristic, complemented
1079#480—591no—
1080#479—591no—
1081#478—591no—
1082#476C2×D5911yescharacteristic, complemented
1083#475C2×D5911yescharacteristic, complemented
1084#470—591no—
1085#469—591no—
1086#469—591no—
1087#469—591no—
1088#469—591no—
1089#469—591no—
1090#469—591no—
1091#469—591no—
1092#469—591no—
1093#468—591no—
1094#468—591no—
1095#468—591no—
1096#466—591no—
1097#465—591no—
1098#465—591no—
1099#465—591no—
1100#464—591no—
1101#464C2×D5911yescharacteristic, complemented
1102#463—591no—
1103#463—591no—
1104#463—591no—
1105#463C2×D5911yescharacteristic, complemented
1106#460—591no—
1107#460—591no—
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#452—591no—
1117#452C2×D5911yescharacteristic, complemented
1118#450—591no—
1119#450—591no—
1120#450—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#449—591no—
1130#449—591no—
1131#449—591no—
1132#449—591no—
1133#449—591no—
1134#449C2×D5911yescharacteristic
1135#448—591no—
1136#448—591no—
1137#447—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#442C2×D5911yescharacteristic, complemented
1150#441C2×D5911yescharacteristic, complemented
1151#440—591no—
1152C4×SD16—591no—
1153C4×SD16C2×D5911yescharacteristic, complemented
1154C4×SD16C2×D5911yescharacteristic, complemented
1155C4×D8—591no—
1156#436—591no—
1157#436—591no—
1158#436—591no—
1159#436—591no—
1160#435—591no—
1161#435—591no—
1162#435—591no—
1163#435—591no—
1164#433—591no—
1165#433C2×D5911yescharacteristic, complemented
1166#419—591no—
1167#418—591no—
1168#418—591no—
1169#417—591no—
1170#417—591no—
1171#417—591no—
1172#416—591no—
1173C2×#102—591no—
1174#408—591no—
1175#408—591no—
1176#407—591no—
1177#407—591no—
1178C59#6165311yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—2362no—
1180H(5,𝔽2)—2362no—
1181C2×#41—591no—
1182C2×#41—591no—
1183C2×#41—591no—
1184C2×#41—591no—
1185C2×#41—591no—
1186C2×#41—591no—
1187C2×#41—591no—
1188C2×#41—591no—
1189C2×#41—1181no—
1190C2×#41—1181no—
1191C2×#41—1181no—
1192C2×#41—1181no—
1193C2×#41—2362no—
1194C2×#41—2362no—
1195C2×#41C22×D5911yescharacteristic
1196C22×Q8—591no—
1197C22×D4—591no—
1198C22×D4—591no—
1199C22×D4—591no—
1200C22×D4—591no—
1201C22×D4—591no—
1202C22×D4—591no—
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—
1212C23×C4—591no—
1213C23×C4—1181no—
1214#137—2362no—
1215AGL(1,ℤ/8)—2362no—
1216AGL(1,ℤ/8)—2362no—
1217AGL(1,ℤ/8)—2362no—
1218AGL(1,ℤ/8)—2362no—
1219AGL(1,ℤ/8)—2362no—
1220#135—2362no—
1221C2×Q16—591no—
1222C2×Q16C22×D5911yescharacteristic
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×SD16C22×D5911yescharacteristic
1232C2×SD16C22×D5911yescharacteristic
1233C2×D8—591no—
1234C2×D8—591no—
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—2362no—
1245C2×D8C22×D5911yescharacteristic
1246C2×M16—591no—
1247C2×M16—591no—
1248C2×M16—591no—
1249C2×M16—591no—
1250C2×M16—591no—
1251C2×M16—591no—
1252C22×C8—591no—
1253C22×C8—591no—
1254C4⋊Q8C22×D5911yescharacteristic
1255#127—591no—
1256#127—591no—
1257#127—591no—
1258#127—1181no—
1259#127—1181no—
1260#127—1181no—
1261#127—1181no—
1262#126—21no—
1263#126—1181no—
1264#126—1181no—
1265#125—591no—
1266#125—1181no—
1267#124—21no—
1268#124—591no—
1269#124—591no—
1270#124—1181no—
1271#124—1181no—
1272#124—1181no—
1273#124—1181no—
1274#124—1181no—
1275#124C22×D5911yescharacteristic
1276#123—21no—
1277#123—591no—
1278#123—591no—
1279#123—1181no—
1280#123—1181no—
1281#123—1181no—
1282#123—1181no—
1283#123—1181no—
1284#123—1181no—
1285#123—1181no—
1286#123—1181no—
1287#123—1181no—
1288#123—1181no—
1289#123—1181no—
1290C22⋊Q8—21no—
1291C22⋊Q8—591no—
1292C22⋊Q8—591no—
1293C22⋊Q8—591no—
1294C22⋊Q8—591no—
1295C22⋊Q8—591no—
1296C22⋊Q8—591no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8—1181no—
1300C22⋊Q8—1181no—
1301C22⋊Q8—1181no—
1302C22⋊Q8C22×D5911yescharacteristic
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—591no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121—1181no—
1350#121C22×D5911yescharacteristic
1351#120—591no—
1352#120—591no—
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×Q8C22×D5911yescharacteristic
1369C4×Q8C22×D5911yescharacteristic
1370C4×Q8C22×D5911yescharacteristic
1371C4×D4—21no—
1372C4×D4—21no—
1373C4×D4—591no—
1374C4×D4—591no—
1375C4×D4—591no—
1376C4×D4—591no—
1377C4×D4—591no—
1378C4×D4—591no—
1379C4×D4—1181no—
1380C4×D4—1181no—
1381C4×D4—1181no—
1382C4×D4—1181no—
1383C4×D4—1181no—
1384C4×D4—1181no—
1385C4×D4—1181no—
1386C4×D4—1181no—
1387C4×D4C22×D5911yescharacteristic
1388C4×D4C22×D5911yescharacteristic
1389C4×D4C22×D5911yescharacteristic
1390#117—21no—
1391#117—591no—
1392#117—591no—
1393#117—1181no—
1394#117—1181no—
1395#117C22×D5911yescharacteristic
1396C2×C4⋊C4—21no—
1397C2×C4⋊C4—591no—
1398C2×C4⋊C4—591no—
1399C2×C4⋊C4C22×D5911yescharacteristic
1400C2×C22⋊C4—1181no—
1401C2×C22⋊C4—1181no—
1402C2×C22⋊C4—1181no—
1403C2×C22⋊C4—1181no—
1404C2×C22⋊C4—1181no—
1405C2×C22⋊C4—1181no—
1406#107—591no—
1407#107—591no—
1408#106—591no—
1409#106—591no—
1410#106C22×D5911yescharacteristic
1411#106C22×D5911yescharacteristic
1412#106C22×D5911yescharacteristic
1413#106C22×D5911yescharacteristic
1414C4⋊C8—591no—
1415C4⋊C8—591no—
1416C4⋊C8C22×D5911yescharacteristic
1417C4⋊C8C22×D5911yescharacteristic
1418#103—591no—
1419#103—591no—
1420#103—591no—
1421#103—591no—
1422#103—591no—
1423#103—591no—
1424#103C22×D5911yescharacteristic
1425#103C22×D5911yescharacteristic
1426#103C22×D5911yescharacteristic
1427#103C22×D5911yescharacteristic
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#102—591no—
1445#102—591no—
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#97C22×D5911yescharacteristic
1464C4×C8—591no—
1465C4×C8C22×D5911yescharacteristic
1466C24—591no—
1467C24—1181no—
1468C24—1181no—
1469C24—1181no—
1470C24—1181no—
1471C24—1181no—
1472C24—1181no—
1473#41—22no—
1474#41—22no—
1475#41—1182no—
1476#41—1182no—
1477#41—1182no—
1478#41—1182no—
1479#41—4722no—
1480#41—2361no—
1481#41—2361no—
1482#41—2361no—
1483#41—2361no—
1484#41—2364no—
1485#41—2364no—
1486#41—2361no—
1487#41—2361no—
1488#41—2361no—
1489#41—2361no—
1490#41—2361no—
1491#41—2361no—
1492#41—2361no—
1493#41—2361no—
1494#41—2364no—
1495C2×Q8—21no—
1496C2×Q8—591no—
1497C2×Q8—591no—
1498C2×Q8—1181no—
1499C2×Q8—1182no—
1500C2×Q8—2361no—
1501C2×Q8C23×D5911yescharacteristic
1502C2×Q8C23×D5911yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—591no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—591no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1182no—
1538C2×D4—1182no—
1539C2×D4—1182no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—1181no—
1543C2×D4—1181no—
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—4722no—
1554C2×D4—4722no—
1555C2×D4—4722no—
1556C2×D4—4722no—
1557C2×D4—4722no—
1558C2×D4—2361no—
1559C2×D4—2361no—
1560C2×D4—2364no—
1561C2×D4—2361no—
1562C2×D4—2361no—
1563C2×D4—2361no—
1564C2×D4—2361no—
1565C2×D4—2361no—
1566C2×D4—2361no—
1567C2×D4—2361no—
1568C2×D4—2364no—
1569C2×D4—2364no—
1570C2×D4—2364no—
1571C2×D4C23×D5911yescharacteristic
1572C2×D4C23×D5911yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—591no—
1579C22×C4—591no—
1580C22×C4—591no—
1581C22×C4—591no—
1582C22×C4—591no—
1583C22×C4—591no—
1584C22×C4—591no—
1585C22×C4—1181no—
1586C22×C4—1181no—
1587C22×C4—1181no—
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—2361no—
1598C22×C4—2361no—
1599C22×C4—2364no—
1600C22×C4C23×D5911yescharacteristic
1601Q16—22no—
1602Q16—2361no—
1603SD16—22no—
1604SD16—22no—
1605SD16—1182no—
1606SD16—1182no—
1607SD16—2361no—
1608SD16—2361no—
1609SD16—2361no—
1610SD16—2361no—
1611SD16—2361no—
1612SD16—2361no—
1613D8—22no—
1614D8—1182no—
1615D8—1182no—
1616D8—2361no—
1617D8—2361no—
1618D8—2361no—
1619D8—2361no—
1620D8—2361no—
1621D8—2361no—
1622D8—2361no—
1623D8—2361no—
1624D8—2361no—
1625M16—2361no—
1626M16—2361no—
1627M16—2361no—
1628M16—2361no—
1629M16—2361no—
1630M16—2361no—
1631C2×C8—591no—
1632C2×C8—591no—
1633C2×C8—591no—
1634C2×C8—591no—
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—591no—
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⋊C4D4×D5911yescharacteristic
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—21no—
1673C22⋊C4—21no—
1674C22⋊C4—591no—
1675C22⋊C4—591no—
1676C22⋊C4—591no—
1677C22⋊C4—591no—
1678C22⋊C4—591no—
1679C22⋊C4—591no—
1680C22⋊C4—591no—
1681C22⋊C4—591no—
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⋊C4—1181no—
1705C22⋊C4—1181no—
1706C22⋊C4—1181no—
1707C22⋊C4—1181no—
1708C22⋊C4D4×D5911yescharacteristic
1709C22⋊C4D4×D5911yescharacteristic
1710C42—21no—
1711C42—21no—
1712C42—21no—
1713C42—1181no—
1714C42—1181no—
1715C42C23×D5911yescharacteristic
1716C42C23×D5911yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—591no—
1720C23—591no—
1721C23—591no—
1722C23—591no—
1723C23—1181no—
1724C23—1181no—
1725C23—1181no—
1726C23—1181no—
1727C23—1181no—
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—2361no—
1741C23—2361no—
1742C23—2361no—
1743C23—2362no—
1744C23—2362no—
1745C23—2362no—
1746C23—2362no—
1747C23—2362no—
1748C23—2362no—
1749C23C2×D4×D5911yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—81no—
1754Q8—1181no—
1755Q8—1181no—
1756Q8—2361no—
1757Q8—2362no—
1758Q8#1427377312yes—
1759D4—24no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—81no—
1764D4—1181no—
1765D4—1181no—
1766D4—1181no—
1767D4—1181no—
1768D4—1181no—
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—4721no—
1785D4—4721no—
1786D4—4721no—
1787D4—4721no—
1788D4—4721no—
1789D4—4721no—
1790D4—4721no—
1791D4—4721no—
1792D4—4721no—
1793D4—4721no—
1794D4—4721no—
1795D4—2361no—
1796D4—2361no—
1797D4—2361no—
1798D4—2361no—
1799D4—2361no—
1800D4—2362no—
1801D4—2362no—
1802D4—2362no—
1803D4—2362no—
1804D4—2362no—
1805D4—2362no—
1806D4—2362no—
1807D4—2361no—
1808D4—2361no—
1809D4—2362no—
1810D4—2362no—
1811D4—2362no—
1812D4—2362no—
1813D4—2362no—
1814D4#1427377312yes—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—81no—
1825C2×C4—81no—
1826C2×C4—81no—
1827C2×C4—81no—
1828C2×C4—591no—
1829C2×C4—591no—
1830C2×C4—591no—
1831C2×C4—591no—
1832C2×C4—1181no—
1833C2×C4—1181no—
1834C2×C4—1181no—
1835C2×C4—1181no—
1836C2×C4—1181no—
1837C2×C4—1181no—
1838C2×C4—1181no—
1839C2×C4—1181no—
1840C2×C4—1181no—
1841C2×C4—1181no—
1842C2×C4—1181no—
1843C2×C4—4721no—
1844C2×C4—4721no—
1845C2×C4—4721no—
1846C2×C4—4721no—
1847C2×C4—4721no—
1848C2×C4—2361no—
1849C2×C4—2361no—
1850C2×C4—2362no—
1851C2×C4—2362no—
1852C2×C4—2362no—
1853C2×C4—2362no—
1854C2×C4—2362no—
1855C2×C4—2362no—
1856C2×C4—2361no—
1857C2×C4—2362no—
1858C2×C4C2×D4×D5911yescharacteristic
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—22no—
1874C22—21no—
1875C22—21no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—1181no—
1882C22—1181no—
1883C22—1181no—
1884C22—1181no—
1885C22—1181no—
1886C22—1181no—
1887C22—1181no—
1888C22—1181no—
1889C22—1181no—
1890C22—1181no—
1891C22—1181no—
1892C22—1181no—
1893C22—9442no—
1894C22—9442no—
1895C22—9442no—
1896C22—9442no—
1897C22—9442no—
1898C22—4724no—
1899C22—4722no—
1900C22—2361no—
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—22no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—21no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—41no—
1927C4—1181no—
1928C4—1181no—
1929C4—1181no—
1930C4—1181no—
1931C4—2361no—
1932C4—2361no—
1933C4—2361no—
1934C4C2×#1427377311yescharacteristic
1935C4C2×#1427377311yescharacteristic
1936C2—41no—
1937C2—42no—
1938C2—81no—
1939C2—4721no—
1940C2—4721no—
1941C2—4721no—
1942C2—4721no—
1943C2—4721no—
1944C2—2361no—
1945C2—2361no—
1946C2—2361no—
1947C2—2361no—
1948C2#2143772911yescharacteristic
1949C2#2143887411yescharacteristic
1950C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3125C2
socleC22×C59C23×D4
hypercenter#3125D59
hypocenterC59#61653
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3125

Complements

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

NH ≅ G/Ntype
1. #21438408C2semidirect
2. #21437766C2semidirect
3. #21436420C2semidirect
4. #21436354C2semidirect
5. #21436335C2semidirect
6. #21436317C2semidirect
7. #21436279C2semidirect
8. #21436242C2semidirect
9. #21436227C2semidirect
10. #21436054C2semidirect
11. #21435722C2semidirect
12. #21435717C2semidirect
13. #21435717C2semidirect
14. #21435702C2semidirect
15. #21435683C2semidirect
16. #21435631C2semidirect
17. #21435582C2semidirect
18. #21435578C2semidirect
19. #21435184C2semidirect
20. #21435148C2semidirect
21. #21435006C2semidirect
22. #21434953C2semidirect
23. #21434915C2semidirect
24. #21434895C2semidirect
25. #21434295C2semidirect
26. #21433404C2semidirect
27. #21433361C2semidirect
28. #21433345C2semidirect
29. #21433339C2semidirect
30. #21433157C2semidirect
31. C59×#3125C2semidirect
32. C2×#14273773C22semidirect
33. C2×#41×D59C22semidirect
34. C2×#14273759C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273754C22semidirect
38. C2×#14273754C22semidirect
39. C2×#14273751C22semidirect
40. C2×#14273750C22semidirect
41. C2×D8×D59C22semidirect
44. #16838118C22semidirect
45. #16838102C22semidirect
46. #16838093C22semidirect
49. #16838074C22semidirect
50. #16838074C22semidirect
51. #16838064C22semidirect
52. #16838064C22semidirect
53. #16838055C22semidirect
57. #16838047C22semidirect
58. #16838045C22semidirect
59. #16838045C22semidirect
63. D4×D236C22semidirect
64. D4×D236C22semidirect
65. D4×D236C22semidirect
66. #16838007C22semidirect
70. #16837983C22semidirect
71. #16837982C22semidirect
73. #16837971C22semidirect
75. #16837968C22semidirect
77. #16837915C22semidirect
81. C2×#14273702C22semidirect
82. #121×D59C22semidirect
83. #16837792C22semidirect
84. #16837791C22semidirect
85. #16837784C22semidirect
86. #16837779C22semidirect
87. #16837767C22semidirect
88. #16837764C22semidirect
89. #16837757C22semidirect
90. #16837750C22semidirect
91. #16837746C22semidirect
92. #16837734C22semidirect
93. #16837728C22semidirect
94. #16837728C22semidirect
95. #16837728C22semidirect
96. #16837722C22semidirect
97. #16837722C22semidirect
98. #16837722C22semidirect
99. #16837720C22semidirect
100. #16837715C22semidirect
101. #16837709C22semidirect
102. #16837702C22semidirect
103. #16837659C22semidirect
104. #16837656C22semidirect
105. #16837656C22semidirect
106. #16837656C22semidirect
107. #16837656C22semidirect
108. #16837656C22semidirect
109. #16837656C22semidirect
110. #16837654C22semidirect
111. #16837654C22semidirect
112. #16837651C22semidirect
113. #16837651C22semidirect
114. #16837647C22semidirect
115. #16837637C22semidirect
116. #16837634C22semidirect
117. #16837632C22semidirect
118. #16837632C22semidirect
119. #16837624C22semidirect
120. #16837618C22semidirect
121. #16837618C22semidirect
122. #16837617C22semidirect
123. #16837602C22semidirect
124. #16837602C22semidirect
125. #16837598C22semidirect
126. #16837598C22semidirect
127. #16837597C22semidirect
128. #16837597C22semidirect
129. #16837567C22semidirect
130. #16837563C22semidirect
131. #16837563C22semidirect
132. #16837562C22semidirect
133. #16837561C22semidirect
134. #16837554C22semidirect
135. #16837552C22semidirect
136. #16837551C22semidirect
137. #16837550C22semidirect
138. #16837550C22semidirect
139. #16837550C22semidirect
140. #16837550C22semidirect
141. #16837550C22semidirect
142. #16837550C22semidirect
143. #16837549C22semidirect
144. #16837549C22semidirect
145. #16837548C22semidirect
146. #16837547C22semidirect
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. #16837535C22semidirect
161. #16837534C22semidirect
162. #16837534C22semidirect
163. #16837512C22semidirect
164. #16837500C22semidirect
165. C4×#11745671C22semidirect
166. C4×#11745669C22semidirect
167. #16837481C22semidirect
168. #16837481C22semidirect
169. #16837479C22semidirect
170. #16837479C22semidirect
171. #16837475C22semidirect
172. #16837475C22semidirect
173. #16837472C22semidirect
174. #16837472C22semidirect
175. #16837463C22semidirect
176. #16837409C22semidirect
177. #16837405C22semidirect
178. #16837405C22semidirect
179. #16837402C22semidirect
180. #16837402C22semidirect
181. #16837400C22semidirect
182. #16837397C22semidirect
183. #102×D59C22semidirect
184. #16837367C22semidirect
185. #16837367C22semidirect
186. #16837364C22semidirect
187. #16837364C22semidirect
188. C59×#542C22semidirect
189. C59×#520C22semidirect
190. C59×#483C22semidirect
191. C59×#481C22semidirect
192. C59×#476C22semidirect
193. C59×#475C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#452C22semidirect
198. C59×#442C22semidirect
199. C59×#441C22semidirect
200. C4×SD16×C59C22semidirect
201. C4×SD16×C59C22semidirect
202. C59×#433C22semidirect
985. #3125D59semidirect
1041. #542C2×D59semidirect
1059. #520C2×D59semidirect
1070. #483C2×D59semidirect
1078. #481C2×D59semidirect
1082. #476C2×D59semidirect
1083. #475C2×D59semidirect
1101. #464C2×D59semidirect
1105. #463C2×D59semidirect
1117. #452C2×D59semidirect
1149. #442C2×D59semidirect
1150. #441C2×D59semidirect
1153. C4×SD16C2×D59semidirect
1154. C4×SD16C2×D59semidirect
1165. #433C2×D59semidirect
1178. C59#61653semidirect

Maximal subgroups

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

subgroupindex
#214384082
#214377662
#214364202
#214363542
#214363352
#214363172
#214362792
#214362422
#214362272
#214360542
#214357222
#214357172
#214357022
#214356832
#214356312
#214355822
#214355782
#214351842
#214351482
#214350062
#214349532
#214349152
#214348952
#214342952
#214334042
#214333612
#214333452
#214333392
#214331572
C59×#31252
#6165359