Finite Group Databasebeta

← #29466378

Subgroups — #29466378

Order 15104.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437837C211yesmaximal, characteristic, complemented
2#21437735C211yesmaximal, characteristic
3#21436412C211yesmaximal, characteristic, complemented
4#21436407C211yesmaximal, characteristic, complemented
5#21436313C211yesmaximal, characteristic, complemented
6#21436306C211yesmaximal, characteristic, complemented
7#21436195C211yesmaximal, characteristic, complemented
8#21436191C211yesmaximal, characteristic, complemented
9#21436185C211yesmaximal, characteristic, complemented
10#21436179C211yesmaximal, characteristic, complemented
11#21436170C211yesmaximal, characteristic, complemented
12#21436137C211yesmaximal, characteristic, complemented
13#21436135C211yesmaximal, characteristic, complemented
14#21436016C211yesmaximal, characteristic, complemented
15#21436009C211yesmaximal, characteristic, complemented
16#21435937C211yesmaximal, characteristic, complemented
17#21435928C211yesmaximal, characteristic, complemented
18#21434462C211yesmaximal, characteristic, complemented
19#21434060C211yesmaximal, characteristic, complemented
20#21434012C211yesmaximal, characteristic, complemented
21#21433924C211yesmaximal, characteristic, complemented
22#21433746C211yesmaximal, characteristic, complemented
23#21433725C211yesmaximal, characteristic, complemented
24#21433621C211yesmaximal, characteristic, complemented
25#21433370C211yesmaximal, characteristic, complemented
26#452×D59C211yesmaximal, characteristic, complemented
27#21432952C211yesmaximal, characteristic, complemented
28#21432819C211yesmaximal, characteristic, complemented
29#21432618C211yesmaximal, characteristic, complemented
30#21432612C211yesmaximal, characteristic, complemented
31C59×#3315C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273759C2211yescharacteristic
35C2×Q16×D59C2211yescharacteristic, complemented
36C2×SD16×D59C2211yescharacteristic
37C2×#14273733C2211yescharacteristic
38C2×M16×D59C2211yescharacteristic, complemented
39#16838125C2211yescharacteristic, complemented
40#16838120C2211yescharacteristic, complemented
41#16838110C2211yescharacteristic, complemented
42#16838109C2211yescharacteristic, complemented
43#16838094C2211yescharacteristic, complemented
44#16838090—21no—
45#16838090C2211yescharacteristic, complemented
46#16838088—21no—
47#16838087C2211yescharacteristic, complemented
48#16838076—21no—
49#16838075—21no—
50#16838055C2211yescharacteristic
51#16838054C2211yescharacteristic
52#16838053—21no—
53#16838051C2211yescharacteristic
54#16838050—21no—
55#16838048C2211yescharacteristic
56#16838047C2211yescharacteristic
57#16838044—21no—
58#16838043C2211yescharacteristic
59#16838041—21no—
60#16838040C2211yescharacteristic
61#16838032C2211yescharacteristic, complemented
62#16838018—21no—
63#16838011—21no—
64#16837977C2211yescharacteristic
65#16837975C2211yescharacteristic
66#16837975C2211yescharacteristic
67#16837963—21no—
68#16837960—21no—
69#16837955—21no—
70#16837929—21no—
71#16837915C2211yescharacteristic
72#16837911C2211yescharacteristic
73C2×#14273712—21no—
74#123×D59—21no—
75C22⋊Q8×D59C2211yescharacteristic, complemented
76#16837882C2211yescharacteristic
77#16837878C2211yescharacteristic, complemented
78#16837874C2211yescharacteristic
79C2×#14273685C2211yescharacteristic, complemented
80#16837769C2211yescharacteristic, complemented
81#16837763C2211yescharacteristic, complemented
82#16837762C2211yescharacteristic, complemented
83#16837759C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837752C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837745C2211yescharacteristic, complemented
88#16837743C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837738C2211yescharacteristic, complemented
93#16837736C2211yescharacteristic, complemented
94#16837734C2211yescharacteristic, complemented
95#16837730C2211yescharacteristic, complemented
96#16837730C2211yescharacteristic, complemented
97#16837729C2211yescharacteristic, complemented
98#16837729C2211yescharacteristic, complemented
99#16837720C2211yescharacteristic, complemented
100#16837716C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837692C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic, complemented
106#16837683C2211yescharacteristic, complemented
107#16837680C2211yescharacteristic, complemented
108#16837659C2211yescharacteristic, complemented
109#16837659C2211yescharacteristic, complemented
110#16837658C2211yescharacteristic, complemented
111#16837658C2211yescharacteristic, complemented
112#16837658C2211yescharacteristic, complemented
113#16837650C2211yescharacteristic, complemented
114#16837648C2211yescharacteristic, complemented
115#16837644C2211yescharacteristic, complemented
116#16837643C2211yescharacteristic, complemented
117#16837642C2211yescharacteristic, complemented
118#16837640C2211yescharacteristic, complemented
119#16837640C2211yescharacteristic, complemented
120#16837634C2211yescharacteristic, complemented
121#16837632C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837626C2211yescharacteristic, complemented
124#16837625C2211yescharacteristic, complemented
125#16837624C2211yescharacteristic, complemented
126#16837611C2211yescharacteristic, complemented
127#16837610C2211yescharacteristic, complemented
128#16837609C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837566C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837564C2211yescharacteristic, complemented
134#16837564C2211yescharacteristic, complemented
135#16837563C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic, complemented
137#16837562C2211yescharacteristic, complemented
138#16837561C2211yescharacteristic, complemented
139#16837555C2211yescharacteristic, complemented
140#16837554C2211yescharacteristic, complemented
141#16837552C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837504C2211yescharacteristic, complemented
144#16837503C2211yescharacteristic, complemented
145#16837501C2211yescharacteristic, complemented
146#16837493C2211yescharacteristic, complemented
147C4×#11745671C2211yescharacteristic, complemented
148C4×#11745670C2211yescharacteristic, complemented
149#16837487C2211yescharacteristic, complemented
150#16837480C2211yescharacteristic, complemented
151#16837478C2211yescharacteristic, complemented
152#16837476C2211yescharacteristic, complemented
153#16837476C2211yescharacteristic, complemented
154#16837475C2211yescharacteristic, complemented
155#16837467C2211yescharacteristic, complemented
156C8×C22⋊D59C2211yescharacteristic, complemented
157#16837441C2211yescharacteristic, complemented
158#16837439C2211yescharacteristic, complemented
159#16837439C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837409C2211yescharacteristic, complemented
162#16837409C2211yescharacteristic, complemented
163#16837409C2211yescharacteristic, complemented
164#16837406C2211yescharacteristic, complemented
165#16837405C2211yescharacteristic
166#16837405C2211yescharacteristic
167#16837405C2211yescharacteristic, complemented
168#16837404C2211yescharacteristic, complemented
169#16837403C2211yescharacteristic, complemented
170#16837403C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic
172#16837402C2211yescharacteristic, complemented
173#16837401C2211yescharacteristic, complemented
174#16837397C2211yescharacteristic
175#16837397C2211yescharacteristic
176#16837397C2211yescharacteristic, complemented
177#16837397C2211yescharacteristic, complemented
178#16837397C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic, complemented
180#16837395C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182C2×#14273649C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic
186C22⋊C8×D59C2211yescharacteristic, complemented
187#16837359C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic
190C59×#491C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#484C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#467C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203#14273773—24no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745687—21no—
213C2×#11745687C2311yescharacteristic
214#41×D59—24no—
215#41×D59—42no—
216C2×Q8×D59C2311yescharacteristic
217C2×Q8×D59C2311yescharacteristic
218C22×D236—21no—
219C22×D236C2311yescharacteristic
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59C2311yescharacteristic
224C2×D4×D59C2311yescharacteristic
225C22×C4×D59—21no—
226C22×C4×D59C2311yescharacteristic
227#14273759—42no—
228C2×Dic236C2311yescharacteristic
229C2×#11745672C2311yescharacteristic
230C2×#11745672C2311yescharacteristic
231C2×#11745672C2311yescharacteristic
232Q16×D59—42no—
233C2×#11745660C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238SD16×D59—24no—
239#14273733—42no—
240C2×#11745664C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245M16×D59—42no—
246C2×C8×D59C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248C2×C8×D59C2311yescharacteristic
249C2×C8×D59C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251#14273727C2311yescharacteristic
252#14273726—21no—
253#14273726—21no—
254#14273726—21no—
255#14273726C2311yescharacteristic
256#14273725C2311yescharacteristic
257#14273722—21no—
258#14273722—21no—
259#14273722—21no—
260#14273722—21no—
261#14273722—21no—
262#14273721—21no—
263#14273720—21no—
264#14273718—21no—
265#14273718—21no—
266#14273718—21no—
267#14273718C2311yescharacteristic
268#14273717—21no—
269#14273717—21no—
270#14273717—21no—
271#14273716C2311yescharacteristic
272#14273715—21no—
273#14273715C2311yescharacteristic
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712D411yescharacteristic
289#14273711—21no—
290#14273711—21no—
291#14273710—21no—
292#14273710—21no—
293#14273710—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709D411yescharacteristic
298#14273708—21no—
299#14273707—21no—
300#14273707—21no—
301#14273707C2311yescharacteristic
302#14273707C2311yescharacteristic
303#14273707C2311yescharacteristic
304#14273706C2311yescharacteristic
305#14273706C2311yescharacteristic
306#14273706C2311yescharacteristic
307#14273705—21no—
308#14273705—21no—
309#14273705—21no—
310#14273705—21no—
311#14273705D411yescharacteristic
312#14273704—21no—
313#14273704—21no—
314#14273704—21no—
315#14273704—21no—
316#14273704D411yescharacteristic
317#14273703C2311yescharacteristic
318#14273703C2311yescharacteristic
319#14273703C2311yescharacteristic
320#14273703C2311yescharacteristic
321#14273702—21no—
322#14273702—21no—
323#14273702C2311yescharacteristic
324#14273701—21no—
325#14273701C2311yescharacteristic
326#14273700—21no—
327#14273700—21no—
328#14273700D411yescharacteristic
329#14273699—21no—
330#14273699—21no—
331#14273699D411yescharacteristic
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273697D411yescharacteristic
336#14273695—21no—
337#14273695—21no—
338#14273695D411yescharacteristic
339Q8×Dic59C2311yescharacteristic
340C4×Dic118—21no—
341C4×Dic118—21no—
342C4×Dic118—21no—
343C4×Dic118—21no—
344C4×Dic118C2311yescharacteristic
345#14273692—21no—
346#14273692C2311yescharacteristic
347C4×D236—21no—
348C4×D236C2311yescharacteristic
349C4×D236C2311yescharacteristic
350D4×Dic59—21no—
351D4×Dic59C2311yescharacteristic
352#14273689—21no—
353#14273689C2311yescharacteristic
354C4×C22⋊D59—21no—
355C4×C22⋊D59C2311yescharacteristic
356C4×C22⋊D59C2311yescharacteristic
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362#14273686—21no—
363#14273685—21no—
364#14273685—21no—
365#14273685—21no—
366#14273685—21no—
367#14273685C2311yescharacteristic
368#14273685C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273684—21no—
374#14273684C2311yescharacteristic
375#14273683—21no—
376C2×C4⋊Dic59C2311yescharacteristic
377C2×C4⋊Dic59C2311yescharacteristic
378C2×Dic59⋊C4—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C2×(C2×D59)⋊C4—21no—
385C2×(C2×D59)⋊C4—21no—
386C2×(C2×D59)⋊C4—21no—
387C2×(C2×D59)⋊C4—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C2×C4×Dic59—21no—
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273661C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
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#14273637C2311yescharacteristic
442C4×C59⋊C8C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×Q16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452#126×C59—21no—
453#125×C59—21no—
454#125×C59C2311yescharacteristic
455#123×C59—21no—
456#123×C59—21no—
457#123×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466#117×C59—21no—
467#117×C59C2311yescharacteristic
468C2×C4⋊C4×C59—21no—
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59C2×D411yescharacteristic
491#41×C59—22no—
492#41×C59—22no—
493#41×C59—41no—
494#41×C59—41no—
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×Q8×C59C2411yescharacteristic
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59C2×D411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59C2411yescharacteristic
507C22×C4×C59C2411yescharacteristic
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59C2×D411yescharacteristic
514C2×C22⋊D59C2×D411yescharacteristic
515C2×C22⋊D59C2×D411yescharacteristic
516C2×C22⋊D59C2×D411yescharacteristic
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59C2×D411yescharacteristic
522#11745689—22no—
523#11745689—22no—
524#11745689—22no—
525#11745689—22no—
526#11745689—41no—
527#11745689—41no—
528Q8×D59—22no—
529Q8×D59—22no—
530Q8×D59—22no—
531Q8×D59—22no—
532#11745687—22no—
533#11745687—41no—
534#11745687—44no—
535D4×D59—22no—
536D4×D59—22no—
537D4×D59—41no—
538D4×D59—44no—
539D4×D59—44no—
540D4×D59—44no—
541D4×D59#4114yes—
542#11745685—22no—
543#11745685—22no—
544#11745685—22no—
545#11745685—41no—
546#11745685—44no—
547#11745685—44no—
548C2×D236—22no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—41no—
555C2×D236—44no—
556C2×D236C2×D411yescharacteristic
557C2×D236C2×D411yescharacteristic
558C2×D236C2411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×C4×D59—22no—
561C2×C4×D59—22no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—44no—
573C2×C4×D59C2×D411yescharacteristic
574C2×C4×D59C2×D411yescharacteristic
575C2×C4×D59C2411yescharacteristic
576C2×C4×D59C2411yescharacteristic
577C2×C4×D59C2411yescharacteristic
578C2×Dic118—21no—
579C2×Dic118—21no—
580C2×Dic118—21no—
581C2×Dic118—21no—
582C2×Dic118C2×D411yescharacteristic
583C2×Dic118C2411yescharacteristic
584C2×Dic118C2411yescharacteristic
585Q16×C59—41no—
586Q16×C59—41no—
587SD16×C59—22no—
588M16×C59—41no—
589C2×C8×C59—41no—
590C2×C8×C59C2411yescharacteristic
591C2×C8×C59C2411yescharacteristic
592C2×C8×C59C2411yescharacteristic
593C2×C8×C59C2411yescharacteristic
594C4⋊C4×C59—21no—
595C4⋊C4×C59—21no—
596C4⋊C4×C59—21no—
597C4⋊C4×C59—21no—
598C4⋊C4×C59—21no—
599C4⋊C4×C59—21no—
600C4⋊C4×C59—21no—
601C4⋊C4×C59—21no—
602C4⋊C4×C59—21no—
603C4⋊C4×C59—21no—
604C4⋊C4×C59C2×D411yescharacteristic
605C4⋊C4×C59C2411yescharacteristic
606C4⋊C4×C59C2411yescharacteristic
607C4⋊C4×C59C2411yescharacteristic
608C4⋊C4×C59C2411yescharacteristic
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
614C22⋊C4×C59—21no—
615C22⋊C4×C59C2×D411yescharacteristic
616C22⋊C4×C59C2×D411yescharacteristic
617C42×C59—21no—
618C42×C59—21no—
619C42×C59C2411yescharacteristic
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59C2×D411yescharacteristic
625C22⋊Dic59C2×D411yescharacteristic
626#11745672—41no—
627#11745672—41no—
628#11745672—41no—
629#11745671—22no—
630#11745671—41no—
631#11745670—22no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59C2×D411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4C2×D411yescharacteristic
688Dic59⋊C4C2×D411yescharacteristic
689Dic59⋊C4C2×D411yescharacteristic
690Dic59⋊C4C2×D411yescharacteristic
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59—21no—
694C4×Dic59—21no—
695C4×Dic59—21no—
696C4×Dic59—21no—
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59C2411yescharacteristic
701#11745664—41no—
702#11745664—41no—
703C2×C59⋊C8C2411yescharacteristic
704C2×C59⋊C8C2411yescharacteristic
705C2×C59⋊C8C2411yescharacteristic
706C2×C59⋊C8C2411yescharacteristic
707Dic236—41no—
708#11745660—22no—
709#11745660—41no—
710#11745659—22no—
711#11745659—22no—
712#11745659—41no—
713C8×D59—22no—
714C8×D59—22no—
715C8×D59—41no—
716C8×D59—41no—
717C8×D59—41no—
718C23×C59—21no—
719C23×C59C22×D411yescharacteristic
720C23×C59C22×D411yescharacteristic
721C22×D59—21no—
722C22×D59—22no—
723C22×D59—24no—
724C22×D59—21no—
725C22×D59—41no—
726C22×D59—41no—
727C22×D59—42no—
728C22×D59—42no—
729C22×D59—81no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59—81no—
733C22×D59—81no—
734C22×D59—81no—
735C22×D59C22×D411yescharacteristic
736C22×D59C22×D411yescharacteristic
737C22×D59C22×D411yescharacteristic
738Q8×C59—21no—
739Q8×C59—21no—
740Q8×C59—21no—
741Q8×C59—21no—
742Q8×C59—21no—
743Q8×C59—21no—
744D4×C59—21no—
745D4×C59—41no—
746D4×C59—42no—
747D4×C59—42no—
748D4×C59C2×#4112yes—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—42no—
761C2×C4×C59—42no—
762C2×C4×C59—42no—
763C2×C4×C59—81no—
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C2511yescharacteristic
769C22⋊D59—22no—
770C22⋊D59—22no—
771C22⋊D59—24no—
772C22⋊D59—41no—
773C22⋊D59—41no—
774C22⋊D59—42no—
775C22⋊D59—42no—
776C22⋊D59—42no—
777C22⋊D59—81no—
778C2×Dic59—22no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—42no—
786C2×Dic59—81no—
787C2×Dic59—81no—
788C2×Dic59—81no—
789C2×Dic59C22×D411yescharacteristic
790C2×Dic59C22×D411yescharacteristic
791C2×Dic59C22×D411yescharacteristic
792C2×Dic59C22×D411yescharacteristic
793C2×Dic59C22×D411yescharacteristic
794D236—22no—
795D236—21no—
796D236—21no—
797D236—21no—
798D236—41no—
799D236—42no—
800D236—42no—
801D236—42no—
802D236—42no—
803D236—81no—
804D236C2×#4112yes—
805C4×D59—22no—
806C4×D59—21no—
807C4×D59—21no—
808C4×D59—21no—
809C4×D59—21no—
810C4×D59—22no—
811C4×D59—42no—
812C4×D59—42no—
813C4×D59—42no—
814C4×D59—42no—
815C4×D59—42no—
816C4×D59—42no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59C2×#4112yes—
822C4×D59H(5,𝔽2)12yes—
823Dic118—22no—
824Dic118—21no—
825Dic118—21no—
826Dic118—21no—
827Dic118—21no—
828Dic118—42no—
829Dic118—42no—
830Dic118—81no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#61188—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—22no—
847C22×C59—21no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59C23×D411yescharacteristic
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—21no—
858C2×D59—21no—
859C2×D59—22no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—82no—
866C2×D59—84no—
867C2×D59—162no—
868C2×D59—162no—
869C2×D59#54612yes—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—21no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59—41no—
879C4×C59—41no—
880C4×C59—41no—
881C4×C59C22×#4111yescharacteristic
882C4×C59C2×H(5,𝔽2)11yescharacteristic
883Dic59—21no—
884Dic59—21no—
885Dic59—21no—
886Dic59—21no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891Dic59—41no—
892Dic59—41no—
893Dic59#54612yes—
894#3495—591no—
895#3485—591no—
896#3331—591no—
897#3331—591no—
898#3323—591no—
899#3323—591no—
900#3315—591no—
901#3315—591no—
902#3315—591no—
903#3315D5911yescharacteristic, complemented
904#3314—591no—
905#3314—591no—
906#3311—591no—
907#3311—591no—
908#3302—591no—
909#3302—591no—
910#3296—591no—
911#3296—591no—
912#3137—591no—
913#3097—591no—
914#3091—591no—
915#3081—591no—
916#3059—591no—
917#3056—591no—
918#3044—591no—
919#3009—591no—
920C2×#452—591no—
921#2949—591no—
922#2933—591no—
923#2897—591no—
924#2896—591no—
925C2×C59—42no—
926C2×C59—41no—
927C2×C59—41no—
928C2×C59C2×#54611yescharacteristic
929C2×C59#358411yescharacteristic
930C2×C59#358611yescharacteristic
931D59—22no—
932D59—41no—
933D59—41no—
934D59—42no—
935D59—81no—
936C2×H(5,𝔽2)—591no—
937C22×#41—591no—
938C2×#137—591no—
939C22×Q16—591no—
940C22×SD16—591no—
941C2×#131—591no—
942C22×M16—591no—
943#556—591no—
944#556—591no—
945#554—591no—
946#554—591no—
947#552—591no—
948#552—591no—
949#552—591no—
950#552—1181no—
951#552—1181no—
952#552C2×D5911yescharacteristic, complemented
953#551—1181no—
954#551—1181no—
955#547—591no—
956#547—591no—
957#547—591no—
958#547—1181no—
959#547—1181no—
960#547C2×D5911yescharacteristic
961#546—591no—
962#546—591no—
963#546—591no—
964#546—591no—
965#546—1181no—
966#546—1181no—
967#544—591no—
968#542—1181no—
969#541—1181no—
970#536—591no—
971#536—591no—
972#536—591no—
973#534—1181no—
974#534—1181no—
975#533—1181no—
976#529—1181no—
977#525—591no—
978#525—591no—
979C2×#123—1181no—
980C2×#123—1181no—
981C2×C22⋊Q8—591no—
982#520—591no—
983#519—591no—
984#518—591no—
985C2×#117—591no—
986#491—591no—
987#491C2×D5911yescharacteristic, complemented
988#489—591no—
989#489—591no—
990#488—591no—
991#488—591no—
992#487—591no—
993#487—591no—
994#485—591no—
995#485—591no—
996#485—591no—
997#485—591no—
998#485—591no—
999#485C2×D5911yescharacteristic, complemented
1000#484—591no—
1001#484—591no—
1002#484C2×D5911yescharacteristic, complemented
1003#483—591no—
1004#483—591no—
1005#483—591no—
1006#482—591no—
1007#482—591no—
1008#481—591no—
1009#480—591no—
1010#478—591no—
1011#478—591no—
1012#478—591no—
1013#478C2×D5911yescharacteristic, complemented
1014#476—591no—
1015#476—591no—
1016#474—591no—
1017#474—591no—
1018#470—591no—
1019#470—591no—
1020#470—591no—
1021#470—591no—
1022#470—591no—
1023#470C2×D5911yescharacteristic, complemented
1024#468—591no—
1025#468—591no—
1026#467—591no—
1027#467—591no—
1028#467—591no—
1029#467—591no—
1030#467—591no—
1031#467C2×D5911yescharacteristic, complemented
1032#465—591no—
1033#465—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#462—591no—
1039#462—591no—
1040#462—591no—
1041#462C2×D5911yescharacteristic, complemented
1042#452—591no—
1043#452—591no—
1044#452—591no—
1045#452—591no—
1046#452—591no—
1047#452—591no—
1048#452—591no—
1049#452—591no—
1050#452—591no—
1051#452—591no—
1052#452C2×D5911yescharacteristic, complemented
1053#452C2×D5911yescharacteristic, complemented
1054#450—591no—
1055#450—591no—
1056#450—591no—
1057#450—591no—
1058#440—591no—
1059#440—591no—
1060#440—591no—
1061#440C2×D5911yescharacteristic, complemented
1062C4×SD16—591no—
1063C4×SD16—591no—
1064C4×SD16—591no—
1065C4×SD16—591no—
1066#436—591no—
1067#436—591no—
1068#435—591no—
1069#435—591no—
1070#435—591no—
1071#435C2×D5911yescharacteristic, complemented
1072C8×D4—591no—
1073C8×D4—591no—
1074#428—591no—
1075#427—591no—
1076#427—591no—
1077#424—591no—
1078#419—591no—
1079#419—591no—
1080#419—591no—
1081#418—591no—
1082#418—591no—
1083#418—591no—
1084#418—591no—
1085#417—591no—
1086#417—591no—
1087#417—591no—
1088#417—591no—
1089#417—591no—
1090#417—591no—
1091#417C2×D5911yescharacteristic, complemented
1092#416—591no—
1093#416—591no—
1094#416—591no—
1095#416—591no—
1096#416—591no—
1097#416—591no—
1098#416—591no—
1099#416C2×D5911yescharacteristic, complemented
1100C2×#103—591no—
1101C2×#102—591no—
1102C2×#102—591no—
1103C2×#102—591no—
1104#408—591no—
1105C2×C22⋊C8—591no—
1106#405—591no—
1107C59#6118811yescharacteristic, complemented, Sylow
1108H(5,𝔽2)—1184no—
1109H(5,𝔽2)—2362no—
1110C2×#41—591no—
1111C2×#41—591no—
1112C2×#41—591no—
1113C2×#41—591no—
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—1181no—
1117C2×#41—1181no—
1118C2×#41—1181no—
1119C2×#41—1184no—
1120C2×#41—2362no—
1121C2×#41C22×D5911yescharacteristic
1122C2×#41C22×D5911yescharacteristic
1123C22×Q8—591no—
1124C22×Q8—591no—
1125C22×D4—591no—
1126C22×D4—591no—
1127C22×D4—591no—
1128C22×D4—1181no—
1129C22×D4—1181no—
1130C22×D4—1181no—
1131C22×D4—1181no—
1132C23×C4—591no—
1133C23×C4—1181no—
1134#137—2362no—
1135C2×Q16—591no—
1136C2×Q16—591no—
1137C2×Q16—591no—
1138C2×Q16—591no—
1139C2×Q16—2362no—
1140C2×Q16C22×D5911yescharacteristic
1141C2×Q16C22×D5911yescharacteristic
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—591no—
1145C2×SD16—591no—
1146C2×SD16—591no—
1147C2×SD16—1184no—
1148C2×SD16C22×D5911yescharacteristic
1149#131—2362no—
1150C2×M16—591no—
1151C2×M16—591no—
1152C2×M16—591no—
1153C2×M16—591no—
1154C2×M16—591no—
1155C2×M16—2362no—
1156C2×M16C22×D5911yescharacteristic
1157C22×C8—591no—
1158C22×C8—591no—
1159C22×C8—591no—
1160C22×C8—591no—
1161C22×C8—591no—
1162C22×C8C22×D5911yescharacteristic
1163C4⋊Q8—591no—
1164C4⋊Q8—591no—
1165C4⋊Q8—591no—
1166C4⋊Q8—1181no—
1167C4⋊Q8—1181no—
1168C4⋊Q8—1181no—
1169C4⋊Q8C22×D5911yescharacteristic
1170#126—21no—
1171#126—1181no—
1172#126—1181no—
1173#126—1181no—
1174#126—1181no—
1175#126—1181no—
1176#126—1181no—
1177#126—1181no—
1178#125—21no—
1179#125—591no—
1180#125—1181no—
1181#125—1181no—
1182#125—1181no—
1183#125—1181no—
1184#125—1181no—
1185#125—1181no—
1186#125C22×D5911yescharacteristic
1187#124—591no—
1188#124—591no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#124—1181no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—591no—
1197#123—591no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218C22⋊Q8—591no—
1219C22⋊Q8—591no—
1220C22⋊Q8—591no—
1221C22⋊Q8—591no—
1222C22⋊Q8—591no—
1223C22⋊Q8—591no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236C22⋊Q8—1181no—
1237C22⋊Q8—1181no—
1238C22⋊Q8—1181no—
1239C22⋊Q8—1181no—
1240C22⋊Q8C22×D5911yescharacteristic
1241C22⋊Q8C22×D5911yescharacteristic
1242C22⋊Q8C22×D5911yescharacteristic
1243C22⋊Q8C22×D5911yescharacteristic
1244#121—21no—
1245#121—591no—
1246#121—591no—
1247#121—591no—
1248#121—591no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#120—591no—
1257#120—591no—
1258#120—1181no—
1259#120—1181no—
1260#120—1181no—
1261#120—1181no—
1262#120—1181no—
1263C4×Q8—591no—
1264C4×Q8—591no—
1265C4×Q8—591no—
1266C4×Q8—1181no—
1267C4×Q8—1181no—
1268C4×Q8—1181no—
1269C4×Q8—1181no—
1270C4×Q8—1181no—
1271C4×Q8C22×D5911yescharacteristic
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4C22×D5911yescharacteristic
1288C4×D4C22×D5911yescharacteristic
1289#117—21no—
1290#117—591no—
1291#117—591no—
1292#117—591no—
1293#117—591no—
1294#117—591no—
1295#117—591no—
1296#117—591no—
1297#117—1181no—
1298#117—1181no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304#117C22×D5911yescharacteristic
1305C2×C4⋊C4—21no—
1306C2×C4⋊C4—591no—
1307C2×C4⋊C4—591no—
1308C2×C4⋊C4—591no—
1309C2×C4⋊C4—591no—
1310C2×C4⋊C4—1181no—
1311C2×C4⋊C4—1181no—
1312C2×C4⋊C4—1181no—
1313C2×C4⋊C4—1181no—
1314C2×C4⋊C4C22×D5911yescharacteristic
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C42—1181no—
1324#107—591no—
1325#107—591no—
1326#107—591no—
1327#107—591no—
1328#107C22×D5911yescharacteristic
1329#107C22×D5911yescharacteristic
1330#106—591no—
1331#106—591no—
1332#106—591no—
1333#106—591no—
1334#106—591no—
1335#106C22×D5911yescharacteristic
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8C22×D5911yescharacteristic
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103C22×D5911yescharacteristic
1356#103C22×D5911yescharacteristic
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
1359#103C22×D5911yescharacteristic
1360#103C22×D5911yescharacteristic
1361#103C22×D5911yescharacteristic
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380C22⋊C8—591no—
1381C22⋊C8—591no—
1382C22⋊C8—591no—
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8C22×D5911yescharacteristic
1387C22⋊C8C22×D5911yescharacteristic
1388#97—591no—
1389#97C22×D5911yescharacteristic
1390C4×C8—591no—
1391C4×C8—591no—
1392C24—591no—
1393C24—1181no—
1394C24—1181no—
1395C24—1181no—
1396#41—22no—
1397#41—22no—
1398#41—41no—
1399#41—41no—
1400#41—1182no—
1401#41—1182no—
1402#41—1182no—
1403#41—1182no—
1404#41—1182no—
1405#41—1182no—
1406#41—1182no—
1407#41—1182no—
1408#41—2361no—
1409#41—2364no—
1410#41—2364no—
1411#41—2361no—
1412#41—2364no—
1413#41—2361no—
1414#41—2361no—
1415C2×Q8—591no—
1416C2×Q8—591no—
1417C2×Q8—591no—
1418C2×Q8—1181no—
1419C2×Q8—1181no—
1420C2×Q8—1181no—
1421C2×Q8—1182no—
1422C2×Q8—1182no—
1423C2×Q8—1182no—
1424C2×Q8—1182no—
1425C2×Q8—1181no—
1426C2×Q8C23×D5911yescharacteristic
1427C2×Q8C23×D5911yescharacteristic
1428C2×Q8C23×D5911yescharacteristic
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—594no—
1432C2×D4—591no—
1433C2×D4—591no—
1434C2×D4—591no—
1435C2×D4—591no—
1436C2×D4—591no—
1437C2×D4—591no—
1438C2×D4—591no—
1439C2×D4—591no—
1440C2×D4—1182no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1182no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1182no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—2361no—
1454C2×D4—2364no—
1455C2×D4—2361no—
1456C2×D4—2364no—
1457C2×D4—2364no—
1458C2×D4—2364no—
1459C2×D4D4×D5911yescharacteristic
1460C2×D4C23×D5911yescharacteristic
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—21no—
1464C22×C4—21no—
1465C22×C4—591no—
1466C22×C4—591no—
1467C22×C4—591no—
1468C22×C4—591no—
1469C22×C4—591no—
1470C22×C4—591no—
1471C22×C4—1182no—
1472C22×C4—1182no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—2364no—
1488C22×C4C23×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490Q16—41no—
1491Q16—41no—
1492Q16—2361no—
1493Q16—2361no—
1494Q16—2361no—
1495Q16—2361no—
1496SD16—22no—
1497SD16—1182no—
1498SD16—1182no—
1499SD16—1182no—
1500SD16—2361no—
1501SD16—2361no—
1502M16—41no—
1503M16—1182no—
1504M16—1182no—
1505M16—2361no—
1506M16—2361no—
1507M16—2361no—
1508C2×C8—41no—
1509C2×C8—591no—
1510C2×C8—591no—
1511C2×C8—591no—
1512C2×C8—591no—
1513C2×C8—1182no—
1514C2×C8—1182no—
1515C2×C8—2361no—
1516C2×C8—2361no—
1517C2×C8—2361no—
1518C2×C8C23×D5911yescharacteristic
1519C2×C8C23×D5911yescharacteristic
1520C2×C8C23×D5911yescharacteristic
1521C2×C8C23×D5911yescharacteristic
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4—1181no—
1561C4⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4—1181no—
1564C4⋊C4D4×D5911yescharacteristic
1565C4⋊C4C23×D5911yescharacteristic
1566C4⋊C4C23×D5911yescharacteristic
1567C4⋊C4C23×D5911yescharacteristic
1568C4⋊C4C23×D5911yescharacteristic
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—591no—
1580C22⋊C4—591no—
1581C22⋊C4—591no—
1582C22⋊C4—591no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
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—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4D4×D5911yescharacteristic
1609C22⋊C4D4×D5911yescharacteristic
1610C42—21no—
1611C42—21no—
1612C42—591no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42—1181no—
1620C42—1181no—
1621C42—1181no—
1622C42C23×D5911yescharacteristic
1623C23—21no—
1624C23—591no—
1625C23—591no—
1626C23—591no—
1627C23—1182no—
1628C23—1184no—
1629C23—1181no—
1630C23—1181no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—2361no—
1638C23—2361no—
1639C23—2362no—
1640C23—2362no—
1641C23C2×D4×D5911yescharacteristic
1642C23C2×D4×D5911yescharacteristic
1643Q8—21no—
1644Q8—21no—
1645Q8—21no—
1646Q8—21no—
1647Q8—21no—
1648Q8—21no—
1649Q8—1182no—
1650Q8—1181no—
1651Q8—1181no—
1652Q8—1181no—
1653Q8—1181no—
1654Q8—4721no—
1655Q8—4721no—
1656Q8—2362no—
1657Q8—2362no—
1658D4—21no—
1659D4—41no—
1660D4—42no—
1661D4—42no—
1662D4—592no—
1663D4—1182no—
1664D4—1184no—
1665D4—1182no—
1666D4—1182no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—4721no—
1671D4—4721no—
1672D4—2361no—
1673D4—2362no—
1674D4—2362no—
1675D4—2362no—
1676D4—2362no—
1677D4—2361no—
1678D4—2361no—
1679D4—2362no—
1680D4—2362no—
1681D4—2362no—
1682D4#41×D5912yes—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—42no—
1695C2×C4—42no—
1696C2×C4—42no—
1697C2×C4—81no—
1698C2×C4—591no—
1699C2×C4—592no—
1700C2×C4—592no—
1701C2×C4—591no—
1702C2×C4—591no—
1703C2×C4—591no—
1704C2×C4—591no—
1705C2×C4—1182no—
1706C2×C4—1182no—
1707C2×C4—1182no—
1708C2×C4—1181no—
1709C2×C4—1181no—
1710C2×C4—1181no—
1711C2×C4—1181no—
1712C2×C4—1181no—
1713C2×C4—1181no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—4721no—
1719C2×C4—4721no—
1720C2×C4—4721no—
1721C2×C4—4721no—
1722C2×C4—4721no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—2362no—
1726C2×C4—2362no—
1727C2×C4—2362no—
1728C2×C4—2362no—
1729C2×C4—2362no—
1730C2×C4—2362no—
1731C2×C4—2362no—
1732C2×C4C2×D4×D5911yescharacteristic
1733C2×C4C2×D4×D5911yescharacteristic
1734C2×C4C2×D4×D5911yescharacteristic
1735C2×C4C2×D4×D5911yescharacteristic
1736C2×C4C24×D5911yescharacteristic
1737C8—21no—
1738C8—21no—
1739C8—21no—
1740C8—21no—
1741C8—1181no—
1742C8—1181no—
1743C8—1181no—
1744C8—1181no—
1745C22—21no—
1746C22—21no—
1747C22—22no—
1748C22—21no—
1749C22—21no—
1750C22—21no—
1751C22—21no—
1752C22—41no—
1753C22—41no—
1754C22—592no—
1755C22—1181no—
1756C22—1181no—
1757C22—1181no—
1758C22—1181no—
1759C22—1182no—
1760C22—1181no—
1761C22—1181no—
1762C22—1181no—
1763C22—1181no—
1764C22—9442no—
1765C22—9442no—
1766C22—4724no—
1767C22—4722no—
1768C22—2361no—
1769C22—2361no—
1770C22—2361no—
1771C22—2361no—
1772C22—2361no—
1773C22C22×D4×D5911yescharacteristic
1774C4—21no—
1775C4—21no—
1776C4—21no—
1777C4—21no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—592no—
1786C4—1181no—
1787C4—1181no—
1788C4—1181no—
1789C4—1181no—
1790C4—2361no—
1791C4—2361no—
1792C4—2361no—
1793C4—2361no—
1794C4—2361no—
1795C4—2361no—
1796C4C2×#41×D5911yescharacteristic
1797C4H(5,𝔽2)×D5911yescharacteristic
1798C2—41no—
1799C2—41no—
1800C2—42no—
1801C2—1182no—
1802C2—4721no—
1803C2—2361no—
1804C2—2361no—
1805C2—2362no—
1806C2#546×D5911yescharacteristic
1807C2#2143886611yescharacteristic
1808C2#2143888011yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3315C2
socleC22×C59C23×D4
prime radical#21437735C2
hypercenter#3315D59
hypocenterC59#61188
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3315

Complements

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

NH ≅ G/Ntype
1. #21437837C2semidirect
3. #21436412C2semidirect
4. #21436407C2semidirect
5. #21436313C2semidirect
6. #21436306C2semidirect
7. #21436195C2semidirect
8. #21436191C2semidirect
9. #21436185C2semidirect
10. #21436179C2semidirect
11. #21436170C2semidirect
12. #21436137C2semidirect
13. #21436135C2semidirect
14. #21436016C2semidirect
15. #21436009C2semidirect
16. #21435937C2semidirect
17. #21435928C2semidirect
18. #21434462C2semidirect
19. #21434060C2semidirect
20. #21434012C2semidirect
21. #21433924C2semidirect
22. #21433746C2semidirect
23. #21433725C2semidirect
24. #21433621C2semidirect
25. #21433370C2semidirect
26. #452×D59C2semidirect
27. #21432952C2semidirect
28. #21432819C2semidirect
29. #21432618C2semidirect
30. #21432612C2semidirect
31. C59×#3315C2semidirect
35. C2×Q16×D59C22semidirect
38. C2×M16×D59C22semidirect
39. #16838125C22semidirect
40. #16838120C22semidirect
41. #16838110C22semidirect
42. #16838109C22semidirect
43. #16838094C22semidirect
45. #16838090C22semidirect
47. #16838087C22semidirect
61. #16838032C22semidirect
75. C22⋊Q8×D59C22semidirect
77. #16837878C22semidirect
79. C2×#14273685C22semidirect
80. #16837769C22semidirect
81. #16837763C22semidirect
82. #16837762C22semidirect
83. #16837759C22semidirect
84. #16837758C22semidirect
85. #16837752C22semidirect
86. #16837751C22semidirect
87. #16837745C22semidirect
88. #16837743C22semidirect
89. #16837742C22semidirect
90. #16837742C22semidirect
91. #16837742C22semidirect
92. #16837738C22semidirect
93. #16837736C22semidirect
94. #16837734C22semidirect
95. #16837730C22semidirect
96. #16837730C22semidirect
97. #16837729C22semidirect
98. #16837729C22semidirect
99. #16837720C22semidirect
100. #16837716C22semidirect
101. #16837705C22semidirect
102. #16837700C22semidirect
103. #16837699C22semidirect
104. #16837692C22semidirect
105. #16837691C22semidirect
106. #16837683C22semidirect
107. #16837680C22semidirect
108. #16837659C22semidirect
109. #16837659C22semidirect
110. #16837658C22semidirect
111. #16837658C22semidirect
112. #16837658C22semidirect
113. #16837650C22semidirect
114. #16837648C22semidirect
115. #16837644C22semidirect
116. #16837643C22semidirect
117. #16837642C22semidirect
118. #16837640C22semidirect
119. #16837640C22semidirect
120. #16837634C22semidirect
121. #16837632C22semidirect
122. #16837627C22semidirect
123. #16837626C22semidirect
124. #16837625C22semidirect
125. #16837624C22semidirect
126. #16837611C22semidirect
127. #16837610C22semidirect
128. #16837609C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837566C22semidirect
132. #16837565C22semidirect
133. #16837564C22semidirect
134. #16837564C22semidirect
135. #16837563C22semidirect
136. #16837563C22semidirect
137. #16837562C22semidirect
138. #16837561C22semidirect
139. #16837555C22semidirect
140. #16837554C22semidirect
141. #16837552C22semidirect
142. #16837551C22semidirect
143. #16837504C22semidirect
144. #16837503C22semidirect
145. #16837501C22semidirect
146. #16837493C22semidirect
147. C4×#11745671C22semidirect
148. C4×#11745670C22semidirect
149. #16837487C22semidirect
150. #16837480C22semidirect
151. #16837478C22semidirect
152. #16837476C22semidirect
153. #16837476C22semidirect
154. #16837475C22semidirect
155. #16837467C22semidirect
156. C8×C22⋊D59C22semidirect
157. #16837441C22semidirect
158. #16837439C22semidirect
159. #16837439C22semidirect
160. #16837427C22semidirect
161. #16837409C22semidirect
162. #16837409C22semidirect
163. #16837409C22semidirect
164. #16837406C22semidirect
167. #16837405C22semidirect
168. #16837404C22semidirect
169. #16837403C22semidirect
170. #16837403C22semidirect
172. #16837402C22semidirect
173. #16837401C22semidirect
176. #16837397C22semidirect
177. #16837397C22semidirect
178. #16837397C22semidirect
179. #16837395C22semidirect
180. #16837395C22semidirect
181. #103×D59C22semidirect
182. C2×#14273649C22semidirect
184. #102×D59C22semidirect
186. C22⋊C8×D59C22semidirect
187. #16837359C22semidirect
188. C59×#552C22semidirect
190. C59×#491C22semidirect
191. C59×#485C22semidirect
192. C59×#484C22semidirect
193. C59×#478C22semidirect
194. C59×#470C22semidirect
195. C59×#467C22semidirect
196. C59×#462C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C59×#416C22semidirect
903. #3315D59semidirect
952. #552C2×D59semidirect
987. #491C2×D59semidirect
999. #485C2×D59semidirect
1002. #484C2×D59semidirect
1013. #478C2×D59semidirect
1023. #470C2×D59semidirect
1031. #467C2×D59semidirect
1041. #462C2×D59semidirect
1052. #452C2×D59semidirect
1053. #452C2×D59semidirect
1061. #440C2×D59semidirect
1071. #435C2×D59semidirect
1091. #417C2×D59semidirect
1099. #416C2×D59semidirect
1107. C59#61188semidirect

Maximal subgroups

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

subgroupindex
#214378372
#214377352
#214364122
#214364072
#214363132
#214363062
#214361952
#214361912
#214361852
#214361792
#214361702
#214361372
#214361352
#214360162
#214360092
#214359372
#214359282
#214344622
#214340602
#214340122
#214339242
#214337462
#214337252
#214336212
#214333702
#452×D592
#214329522
#214328192
#214326182
#214326122
C59×#33152
#6118859