Finite Group Databasebeta

← #29466206

Subgroups — #29466206

Order 15104.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437844C211yesmaximal, characteristic, complemented
2#21437764C211yesmaximal, characteristic
3#21436430C211yesmaximal, characteristic, complemented
4#21436369C211yesmaximal, characteristic, complemented
5#21436365C211yesmaximal, characteristic, complemented
6#21436326C211yesmaximal, characteristic, complemented
7#21436322C211yesmaximal, characteristic, complemented
8#21436314C211yesmaximal, characteristic, complemented
9#21436307C211yesmaximal, characteristic, complemented
10#21436222C211yesmaximal, characteristic, complemented
11#21436215C211yesmaximal, characteristic, complemented
12#21436180C211yesmaximal, characteristic, complemented
13#21436171C211yesmaximal, characteristic, complemented
14#21436166C211yesmaximal, characteristic, complemented
15#21436159C211yesmaximal, characteristic, complemented
16#21436124C211yesmaximal, characteristic, complemented
17#21436115C211yesmaximal, characteristic, complemented
18#21434445C211yesmaximal, characteristic, complemented
19#21434069C211yesmaximal, characteristic, complemented
20#21434031C211yesmaximal, characteristic, complemented
21#21433944C211yesmaximal, characteristic, complemented
22#21433782C211yesmaximal, characteristic, complemented
23#468×D59C211yesmaximal, characteristic, complemented
24#21433612C211yesmaximal, characteristic, complemented
25#21433370C211yesmaximal, characteristic, complemented
26#21433353C211yesmaximal, characteristic, complemented
27#21432934C211yesmaximal, characteristic, complemented
28#21432796C211yesmaximal, characteristic, complemented
29#21432620C211yesmaximal, characteristic, complemented
30#21432612C211yesmaximal, characteristic, complemented
31C59×#3333C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273759C2211yescharacteristic
35C2×#14273756C2211yescharacteristic, complemented
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×#14273735C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838126C2211yescharacteristic, complemented
40#16838123C2211yescharacteristic, complemented
41#16838107C2211yescharacteristic, complemented
42#16838094C2211yescharacteristic, complemented
43#16838093C2211yescharacteristic, complemented
44#16838092C2211yescharacteristic, complemented
45#16838087C2211yescharacteristic, complemented
46#16838086—21no—
47#16838084—21no—
48#16838081—21no—
49#16838079—21no—
50#16838071C2211yescharacteristic
51#16838064C2211yescharacteristic
52#16838059C2211yescharacteristic
53#16838049—21no—
54#16838049C2211yescharacteristic
55#16838048—21no—
56#16838048C2211yescharacteristic
57#16838037—21no—
58#16838037C2211yescharacteristic
59#16838036—21no—
60#16838036C2211yescharacteristic
61#16838029C2211yescharacteristic, complemented
62#16838022—21no—
63#16838011—21no—
64#16837981—21no—
65#16837981C2211yescharacteristic
66#16837975C2211yescharacteristic, complemented
67#16837965—21no—
68#16837965C2211yescharacteristic
69#16837954—21no—
70#16837932—21no—
71#16837911—21no—
72#16837911C2211yescharacteristic
73C22⋊Q8×D59C2211yescharacteristic, complemented
74#121×D59—21no—
75#121×D59C2211yescharacteristic
76#16837884C2211yescharacteristic
77#16837883C2211yescharacteristic, complemented
78#16837878C2211yescharacteristic, complemented
79C2×#14273685C2211yescharacteristic, complemented
80#16837766C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic, complemented
82#16837764C2211yescharacteristic, complemented
83#16837760C2211yescharacteristic, complemented
84#16837757C2211yescharacteristic, complemented
85#16837755C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837745C2211yescharacteristic, complemented
88#16837744C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837737C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic, complemented
92#16837729C2211yescharacteristic, complemented
93#16837725C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837721C2211yescharacteristic, complemented
98#16837718C2211yescharacteristic, complemented
99#16837715C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837709C2211yescharacteristic, complemented
102#16837707C2211yescharacteristic, complemented
103#16837705C2211yescharacteristic, complemented
104#16837703C2211yescharacteristic, complemented
105#16837695C2211yescharacteristic, complemented
106#16837681C2211yescharacteristic, complemented
107#16837679C2211yescharacteristic, complemented
108#16837660C2211yescharacteristic, complemented
109#16837659C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837649C2211yescharacteristic, complemented
113#16837648C2211yescharacteristic, complemented
114#16837647C2211yescharacteristic, complemented
115#16837647C2211yescharacteristic, complemented
116#16837646C2211yescharacteristic, complemented
117#16837645C2211yescharacteristic, complemented
118#16837644C2211yescharacteristic, complemented
119#16837641C2211yescharacteristic, complemented
120#16837629C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic, complemented
123#16837624C2211yescharacteristic, complemented
124#16837623C2211yescharacteristic, complemented
125#16837622C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837599C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837566C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837563C2211yescharacteristic, complemented
134#16837562C2211yescharacteristic, complemented
135#16837559C2211yescharacteristic, complemented
136#16837556C2211yescharacteristic, complemented
137#16837555C2211yescharacteristic, complemented
138#16837554C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837552C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837509C2211yescharacteristic, complemented
144#16837507C2211yescharacteristic, complemented
145#16837501C2211yescharacteristic, complemented
146#16837500C2211yescharacteristic, complemented
147#16837494C2211yescharacteristic, complemented
148C4×#11745660C2211yescharacteristic, complemented
149#16837487C2211yescharacteristic, complemented
150#16837481C2211yescharacteristic, complemented
151#16837478C2211yescharacteristic, complemented
152#16837478C2211yescharacteristic, complemented
153#16837476C2211yescharacteristic, complemented
154#16837474C2211yescharacteristic, complemented
155#16837472C2211yescharacteristic, complemented
156#16837470C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837443C2211yescharacteristic, complemented
159#107×D59C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837409C2211yescharacteristic, complemented
162#16837409C2211yescharacteristic, complemented
163#16837408C2211yescharacteristic, complemented
164#16837405C2211yescharacteristic, complemented
165#16837405C2211yescharacteristic, complemented
166#16837405C2211yescharacteristic, complemented
167#16837405C2211yescharacteristic, complemented
168#16837405C2211yescharacteristic, complemented
169#16837404C2211yescharacteristic, complemented
170#16837403C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic
172#16837402C2211yescharacteristic, complemented
173#16837401C2211yescharacteristic, complemented
174#16837400C2211yescharacteristic, complemented
175#16837398C2211yescharacteristic, complemented
176#16837397C2211yescharacteristic
177#16837397C2211yescharacteristic
178#16837397C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic, complemented
180#16837395C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182C2×#14273647C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187#16837356C2211yescharacteristic, complemented
188C59×#554C2211yescharacteristic, complemented
189C59×#550C2211yescharacteristic
190C59×#486C2211yescharacteristic, complemented
191C59×#480C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#477C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C4×Q16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203#14273773—24no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745685—21no—
208C2×#11745685—21no—
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745687—21no—
212C2×#11745687C2311yescharacteristic
213#41×D59—24no—
214#41×D59—42no—
215C2×Q8×D59C2311yescharacteristic
216C2×Q8×D59C2311yescharacteristic
217C22×D236—21no—
218C22×D236C2311yescharacteristic
219C2×D4×D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C22×C4×D59—21no—
229C22×C4×D59C2311yescharacteristic
230#14273759—24no—
231#14273756—42no—
232C2×Dic236C2311yescharacteristic
233C2×#11745672C2311yescharacteristic
234C2×#11745672C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240C2×#11745671C2311yescharacteristic
241SD16×D59—42no—
242#14273735—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249M16×D59—42no—
250C22×C59⋊C8C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254#14273726—21no—
255#14273726C2311yescharacteristic
256#14273725—21no—
257#14273723—21no—
258#14273723C2311yescharacteristic
259#14273722—21no—
260#14273722—21no—
261#14273722—21no—
262#14273722—21no—
263#14273722—21no—
264#14273721—21no—
265#14273720—21no—
266#14273720—21no—
267#14273719C2311yescharacteristic
268#14273718—21no—
269#14273718C2311yescharacteristic
270#14273717—21no—
271#14273717—21no—
272#14273717—21no—
273#14273717—21no—
274#14273717—21no—
275#14273716—21no—
276#14273715—21no—
277#14273715C2311yescharacteristic
278#14273714—21no—
279#14273714C2311yescharacteristic
280#14273713—21no—
281#14273713—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712D411yescharacteristic
286#14273711—21no—
287#14273710—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709D411yescharacteristic
291#14273708—21no—
292#14273707—21no—
293#14273707C2311yescharacteristic
294#14273707C2311yescharacteristic
295#14273707C2311yescharacteristic
296#14273706—21no—
297#14273706—21no—
298#14273706C2311yescharacteristic
299#14273706C2311yescharacteristic
300#14273706C2311yescharacteristic
301#14273705—21no—
302#14273705—21no—
303#14273705—21no—
304#14273705D411yescharacteristic
305#14273704—21no—
306#14273704—21no—
307#14273704D411yescharacteristic
308#14273703—21no—
309#14273703C2311yescharacteristic
310#14273703C2311yescharacteristic
311#14273702—21no—
312#14273702C2311yescharacteristic
313#14273701—21no—
314#14273701C2311yescharacteristic
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700D411yescharacteristic
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699D411yescharacteristic
325#14273698—21no—
326#14273698—21no—
327#14273698—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic
332#14273697—21no—
333#14273697D411yescharacteristic
334#14273695—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695D411yescharacteristic
342Q8×Dic59—21no—
343Q8×Dic59C2311yescharacteristic
344Q8×Dic59C2311yescharacteristic
345C4×Dic118—21no—
346C4×Dic118C2311yescharacteristic
347#14273692—21no—
348#14273692—21no—
349#14273692—21no—
350#14273692C2311yescharacteristic
351C4×D236—21no—
352C4×D236—21no—
353C4×D236C2311yescharacteristic
354C4×D236C2311yescharacteristic
355#14273689—21no—
356#14273689—21no—
357#14273689C2311yescharacteristic
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59C2311yescharacteristic
364C4×C22⋊D59C2311yescharacteristic
365#14273686—21no—
366#14273686C2311yescharacteristic
367#14273685—21no—
368#14273685—21no—
369#14273685—21no—
370#14273685C2311yescharacteristic
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273685C2311yescharacteristic
374#14273685C2311yescharacteristic
375#14273684—21no—
376#14273684—21no—
377#14273684—21no—
378#14273684C2311yescharacteristic
379#14273683—21no—
380#14273683—21no—
381C2×C4⋊Dic59C2311yescharacteristic
382C4⋊C4×D59—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
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#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273659C2311yescharacteristic
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#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
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#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452#127×C59—21no—
453#127×C59C2311yescharacteristic
454#125×C59—21no—
455C22⋊Q8×C59—21no—
456C22⋊Q8×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458C22⋊Q8×C59C2311yescharacteristic
459#121×C59—21no—
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×D4×C59—21no—
466C4×D4×C59—21no—
467C4×D4×C59C2311yescharacteristic
468C2×C4⋊C4×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472#107×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486C4×C8×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59C2×D411yescharacteristic
492#41×C59—22no—
493#41×C59—22no—
494#41×C59—41no—
495#41×C59—41no—
496C2×Q8×C59—21no—
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59C2411yescharacteristic
513C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
524C2×C22⋊D59C2×D411yescharacteristic
525C2×C22⋊D59C2×D411yescharacteristic
526C2×C22⋊D59C2×D411yescharacteristic
527C2×C22⋊D59C2×D411yescharacteristic
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59C2×D411yescharacteristic
531#11745689—22no—
532#11745689—22no—
533#11745689—41no—
534#11745689#4114yes—
535Q8×D59—22no—
536Q8×D59—22no—
537Q8×D59—22no—
538Q8×D59—41no—
539#11745687—22no—
540#11745687—22no—
541#11745687—44no—
542D4×D59—22no—
543D4×D59—22no—
544D4×D59—22no—
545D4×D59—22no—
546D4×D59—41no—
547D4×D59—41no—
548D4×D59—44no—
549D4×D59—44no—
550D4×D59—44no—
551D4×D59—82no—
552D4×D59—82no—
553D4×D59—82no—
554#11745685—22no—
555#11745685—22no—
556#11745685—22no—
557#11745685—44no—
558#11745685—41no—
559#11745685—44no—
560C2×D236—21no—
561C2×D236—22no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—41no—
566C2×D236—44no—
567C2×D236C2×D411yescharacteristic
568C2×D236C2×D411yescharacteristic
569C2×D236C2411yescharacteristic
570C2×D236C2411yescharacteristic
571C2×C4×D59—21no—
572C2×C4×D59—22no—
573C2×C4×D59—22no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—44no—
584C2×C4×D59C2×D411yescharacteristic
585C2×C4×D59C2×D411yescharacteristic
586C2×C4×D59C2411yescharacteristic
587C2×C4×D59C2411yescharacteristic
588C2×C4×D59C2411yescharacteristic
589C2×Dic118—21no—
590C2×Dic118—21no—
591C2×Dic118—21no—
592C2×Dic118C2×D411yescharacteristic
593C2×Dic118C2411yescharacteristic
594C2×Dic118C2411yescharacteristic
595Q16×C59—22no—
596SD16×C59—41no—
597SD16×C59—41no—
598M16×C59—41no—
599M16×C59—41no—
600C2×C8×C59C2411yescharacteristic
601C2×C8×C59C2411yescharacteristic
602C2×C8×C59C2411yescharacteristic
603C2×C8×C59C2411yescharacteristic
604C4⋊C4×C59—21no—
605C4⋊C4×C59—21no—
606C4⋊C4×C59—21no—
607C4⋊C4×C59—21no—
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59C2×D411yescharacteristic
612C4⋊C4×C59C2411yescharacteristic
613C4⋊C4×C59C2411yescharacteristic
614C4⋊C4×C59C2411yescharacteristic
615C4⋊C4×C59C2411yescharacteristic
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59C2×D411yescharacteristic
621C22⋊C4×C59C2×D411yescharacteristic
622C42×C59—21no—
623C42×C59—21no—
624C42×C59C2411yescharacteristic
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59C2×D411yescharacteristic
634C22⋊Dic59C2×D411yescharacteristic
635#11745672—22no—
636#11745672—41no—
637#11745671—22no—
638#11745671—41no—
639#11745670—41no—
640#11745670—41no—
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)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662(C2×D59)⋊C4C2×D411yescharacteristic
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59—21no—
668C4⋊Dic59—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59C2×D411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673C4⋊Dic59C2411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4C2×D411yescharacteristic
690Dic59⋊C4C2×D411yescharacteristic
691Dic59⋊C4C2×D411yescharacteristic
692Dic59⋊C4C2×D411yescharacteristic
693C4×Dic59—21no—
694C4×Dic59—21no—
695C4×Dic59—21no—
696C4×Dic59—21no—
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59C2411yescharacteristic
704#11745664—41no—
705C2×C59⋊C8—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710Dic236—41no—
711#11745660—22no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—41no—
716#11745659—41no—
717#11745659—41no—
718C8×D59—22no—
719C8×D59—22no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59C22×D411yescharacteristic
724C23×C59C22×D411yescharacteristic
725C22×D59—21no—
726C22×D59—22no—
727C22×D59—21no—
728C22×D59—41no—
729C22×D59—41no—
730C22×D59—42no—
731C22×D59—42no—
732C22×D59—42no—
733C22×D59—42no—
734C22×D59—42no—
735C22×D59—81no—
736C22×D59—81no—
737C22×D59—81no—
738C22×D59—81no—
739C22×D59—81no—
740C22×D59—81no—
741C22×D59—81no—
742C22×D59C22×D411yescharacteristic
743C22×D59C22×D411yescharacteristic
744C22×D59C22×D411yescharacteristic
745Q8×C59—21no—
746Q8×C59—21no—
747Q8×C59—21no—
748Q8×C59—81no—
749Q8×C59C2×#4112yes—
750D4×C59—21no—
751D4×C59—21no—
752D4×C59—21no—
753D4×C59—21no—
754D4×C59—41no—
755D4×C59—42no—
756D4×C59—42no—
757D4×C59—81no—
758D4×C59—81no—
759D4×C59—81no—
760D4×C59—81no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—42no—
772C2×C4×C59—42no—
773C2×C4×C59—81no—
774C2×C4×C59—81no—
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C22×D411yescharacteristic
777C2×C4×C59C22×D411yescharacteristic
778C2×C4×C59C22×D411yescharacteristic
779C2×C4×C59C2511yescharacteristic
780C22⋊D59—22no—
781C22⋊D59—22no—
782C22⋊D59—41no—
783C22⋊D59—41no—
784C22⋊D59—42no—
785C22⋊D59—42no—
786C22⋊D59—42no—
787C22⋊D59—42no—
788C22⋊D59—42no—
789C22⋊D59—42no—
790C22⋊D59—81no—
791C22⋊D59—81no—
792C22⋊D59—81no—
793C22⋊D59—81no—
794C2×Dic59—22no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—42no—
802C2×Dic59—42no—
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808D236—24no—
809D236—22no—
810D236—21no—
811D236—21no—
812D236—21no—
813D236—41no—
814D236—42no—
815D236—42no—
816D236—42no—
817D236C2×#4112yes—
818C4×D59—22no—
819C4×D59—21no—
820C4×D59—21no—
821C4×D59—21no—
822C4×D59—21no—
823C4×D59—22no—
824C4×D59—24no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—42no—
829C4×D59—81no—
830C4×D59—81no—
831C4×D59—81no—
832C4×D59—81no—
833C4×D59—81no—
834C4×D59C2×#4112yes—
835C4×D59H(5,𝔽2)12yes—
836Dic118—22no—
837Dic118—21no—
838Dic118—21no—
839Dic118—21no—
840Dic118—21no—
841Dic118—42no—
842Dic118—42no—
843Dic118—81no—
844C8×C59—21no—
845C8×C59—21no—
846C8×C59—21no—
847C8×C59—21no—
848C59⋊C8—21no—
849C59⋊C8—21no—
850C59⋊C8—21no—
851C59⋊C8—21no—
852#61180—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—21no—
856C22×C59—21no—
857C22×C59—21no—
858C22×C59—21no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59C23×D411yescharacteristic
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—21no—
869C2×D59—21no—
870C2×D59—21no—
871C2×D59—21no—
872C2×D59—21no—
873C2×D59—22no—
874C2×D59—21no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—82no—
881C2×D59—84no—
882C2×D59—162no—
883C2×D59—162no—
884C2×D59—162no—
885C2×D59#54612yes—
886C4×C59—21no—
887C4×C59—21no—
888C4×C59—21no—
889C4×C59—22no—
890C4×C59—21no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894C4×C59—41no—
895C4×C59—41no—
896C4×C59C22×#4111yescharacteristic
897C4×C59C2×H(5,𝔽2)11yescharacteristic
898Dic59—21no—
899Dic59—21no—
900Dic59—21no—
901Dic59—21no—
902Dic59—41no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59—41no—
907Dic59—41no—
908Dic59#54612yes—
909#3495—591no—
910#3488—591no—
911#3333—591no—
912#3333D5911yescharacteristic, complemented
913#3327—591no—
914#3327—591no—
915#3324—591no—
916#3324—591no—
917#3323—591no—
918#3323—591no—
919#3317—591no—
920#3317—591no—
921#3314—591no—
922#3314—591no—
923#3313—591no—
924#3313—591no—
925#3310—591no—
926#3310—591no—
927#3136—591no—
928#3098—591no—
929#3094—591no—
930#3083—591no—
931#3063—591no—
932C2×#468—591no—
933#3043—591no—
934#3009—591no—
935#3007—591no—
936#2947—591no—
937#2930—591no—
938#2897—591no—
939#2896—591no—
940C2×C59—41no—
941C2×C59—41no—
942C2×C59—81no—
943C2×C59—81no—
944C2×C59C2×#54611yescharacteristic
945C2×C59#358511yescharacteristic
946C2×C59#358611yescharacteristic
947D59—22no—
948D59—41no—
949D59—41no—
950D59—42no—
951D59—81no—
952C2×H(5,𝔽2)—591no—
953C22×#41—591no—
954C2×#137—591no—
955C2×#137—591no—
956C22×SD16—591no—
957C2×#131—591no—
958C22×M16—591no—
959#556—591no—
960#556—591no—
961#554—591no—
962#554C2×D5911yescharacteristic, complemented
963#552—591no—
964#552—591no—
965#552—591no—
966#552—591no—
967#552—1181no—
968#552—1181no—
969#551—1181no—
970#551—1181no—
971#550—591no—
972#550C2×D5911yescharacteristic
973#548—591no—
974#548—591no—
975#546—591no—
976#546—591no—
977#546—1181no—
978#546—1181no—
979D42—591no—
980D42—591no—
981D42—1181no—
982D42—1181no—
983#544—591no—
984#542—1181no—
985#541—1181no—
986#537—591no—
987#537—1181no—
988#536—591no—
989#535—591no—
990#535—1181no—
991#533—1181no—
992#529—1181no—
993#525—591no—
994#525—1181no—
995C2×C22⋊Q8—591no—
996C2×#121—591no—
997C2×#121—1181no—
998#520—591no—
999#520—591no—
1000#519—591no—
1001C2×#117—591no—
1002#490—591no—
1003#490—591no—
1004#489—591no—
1005#489—591no—
1006#488—591no—
1007#488—591no—
1008#486—591no—
1009#486C2×D5911yescharacteristic, complemented
1010#485—591no—
1011#485—591no—
1012#484—591no—
1013#484—591no—
1014#482—591no—
1015#482—591no—
1016#482—591no—
1017#482—591no—
1018#482—591no—
1019#482—591no—
1020#481—591no—
1021#481—591no—
1022#480—591no—
1023#480—591no—
1024#480C2×D5911yescharacteristic, complemented
1025#480C2×D5911yescharacteristic, complemented
1026#479—591no—
1027#479—591no—
1028#478—591no—
1029#478—591no—
1030#477—591no—
1031#477C2×D5911yescharacteristic, complemented
1032#474—591no—
1033#474—591no—
1034#470—591no—
1035#470—591no—
1036#468—591no—
1037#468—591no—
1038#468—591no—
1039#468—591no—
1040#468—591no—
1041#468—591no—
1042#468—591no—
1043#468—591no—
1044#468C2×D5911yescharacteristic, complemented
1045#468C2×D5911yescharacteristic, complemented
1046#467—591no—
1047#467—591no—
1048#465—591no—
1049#465—591no—
1050#464—591no—
1051#464—591no—
1052#464—591no—
1053#464—591no—
1054#460—591no—
1055#460—591no—
1056#460—591no—
1057#460C2×D5911yescharacteristic, complemented
1058#452—591no—
1059#452—591no—
1060#452—591no—
1061#452—591no—
1062#452—591no—
1063#452—591no—
1064#452C2×D5911yescharacteristic, complemented
1065#452C2×D5911yescharacteristic, complemented
1066#451—591no—
1067#451—591no—
1068#450—591no—
1069#450—591no—
1070#450—591no—
1071#450—591no—
1072#450—591no—
1073#450—591no—
1074#441—591no—
1075#441—591no—
1076#440—591no—
1077#440—591no—
1078C4×Q16—591no—
1079C4×Q16C2×D5911yescharacteristic, complemented
1080C4×SD16—591no—
1081C4×SD16—591no—
1082#436—591no—
1083#436—591no—
1084#436—591no—
1085#436C2×D5911yescharacteristic, complemented
1086#435—591no—
1087#435—591no—
1088#435—591no—
1089#435—591no—
1090#428—591no—
1091#428—591no—
1092C2×#107—591no—
1093#424—591no—
1094#419—591no—
1095#419—591no—
1096#418—591no—
1097#418—591no—
1098#418—591no—
1099#418—591no—
1100#418—591no—
1101#418—591no—
1102#417—591no—
1103#417—591no—
1104#417—591no—
1105#417—591no—
1106#417—591no—
1107#417—591no—
1108#417C2×D5911yescharacteristic, complemented
1109#417C2×D5911yescharacteristic, complemented
1110#416—591no—
1111#416—591no—
1112#416—591no—
1113#416—591no—
1114#416—591no—
1115#416—591no—
1116C2×#103—591no—
1117C2×#102—591no—
1118C2×#102—591no—
1119C2×#102—591no—
1120#408—591no—
1121#407—591no—
1122#405—591no—
1123C59#6118011yescharacteristic, complemented, Sylow
1124H(5,𝔽2)—1184no—
1125H(5,𝔽2)—2362no—
1126C2×#41—591no—
1127C2×#41—591no—
1128C2×#41—591no—
1129C2×#41—591no—
1130C2×#41—591no—
1131C2×#41—1181no—
1132C2×#41—1181no—
1133C2×#41—1181no—
1134C2×#41—1184no—
1135C2×#41—2362no—
1136C2×#41C22×D5911yescharacteristic
1137C2×#41C22×D5911yescharacteristic
1138C22×Q8—591no—
1139C22×Q8—591no—
1140C22×D4—591no—
1141C22×D4—591no—
1142C22×D4—591no—
1143C22×D4—591no—
1144C22×D4—1181no—
1145C22×D4—1181no—
1146C22×D4—1181no—
1147C22×D4—1181no—
1148C22×D4—1181no—
1149C22×D4—1181no—
1150C22×D4—1181no—
1151C23×C4—591no—
1152C23×C4—1181no—
1153#137—1184no—
1154#137—2362no—
1155C2×Q16—591no—
1156C2×Q16—591no—
1157C2×Q16—591no—
1158C2×Q16C22×D5911yescharacteristic
1159C2×SD16—591no—
1160C2×SD16—591no—
1161C2×SD16—591no—
1162C2×SD16—591no—
1163C2×SD16—591no—
1164C2×SD16—591no—
1165C2×SD16—2362no—
1166C2×SD16C22×D5911yescharacteristic
1167C2×SD16C22×D5911yescharacteristic
1168#131—2362no—
1169C2×M16—591no—
1170C2×M16—591no—
1171C2×M16—591no—
1172C2×M16—591no—
1173C2×M16—591no—
1174C2×M16—591no—
1175C2×M16—2362no—
1176C2×M16C22×D5911yescharacteristic
1177C2×M16C22×D5911yescharacteristic
1178C22×C8—591no—
1179C22×C8—591no—
1180C22×C8—591no—
1181C22×C8—591no—
1182C4⋊Q8—591no—
1183C4⋊Q8—1181no—
1184C4⋊Q8—1181no—
1185C4⋊Q8C22×D5911yescharacteristic
1186#127—21no—
1187#127—591no—
1188#127—1181no—
1189#127C22×D5911yescharacteristic
1190#126—1181no—
1191#126—1181no—
1192#126—1181no—
1193#126—1181no—
1194#126—1181no—
1195#126—1181no—
1196#126—1181no—
1197#126—1181no—
1198#125—21no—
1199#125—591no—
1200#125—591no—
1201#125—1181no—
1202#125—1181no—
1203#125—1181no—
1204#125—1181no—
1205#125—1181no—
1206#125—1181no—
1207#124—591no—
1208#124—591no—
1209#124—1181no—
1210#124—1181no—
1211#124—1181no—
1212#124—1181no—
1213#124—1181no—
1214#123—591no—
1215#123—591no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224C22⋊Q8—21no—
1225C22⋊Q8—21no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—591no—
1231C22⋊Q8—591no—
1232C22⋊Q8—591no—
1233C22⋊Q8—591no—
1234C22⋊Q8—591no—
1235C22⋊Q8—591no—
1236C22⋊Q8—1181no—
1237C22⋊Q8—1181no—
1238C22⋊Q8—1181no—
1239C22⋊Q8—1181no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8—1181no—
1244C22⋊Q8—1181no—
1245C22⋊Q8C22×D5911yescharacteristic
1246C22⋊Q8C22×D5911yescharacteristic
1247#121—21no—
1248#121—21no—
1249#121—591no—
1250#121—591no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—591no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121C22×D5911yescharacteristic
1271#121C22×D5911yescharacteristic
1272#120—591no—
1273#120—591no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280#120—1181no—
1281#120—1181no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—591no—
1286C4×Q8—1181no—
1287C4×Q8—1181no—
1288C4×Q8—1181no—
1289C4×Q8—1181no—
1290C4×Q8—1181no—
1291C4×Q8C22×D5911yescharacteristic
1292C4×Q8C22×D5911yescharacteristic
1293C4×D4—21no—
1294C4×D4—21no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—591no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4C22×D5911yescharacteristic
1310#117—591no—
1311#117—591no—
1312#117—591no—
1313#117—591no—
1314#117—591no—
1315#117—591no—
1316#117—591no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320#117—1181no—
1321#117—1181no—
1322#117—1181no—
1323#117—1181no—
1324#117—1181no—
1325#117—1181no—
1326C2×C4⋊C4—591no—
1327C2×C4⋊C4—591no—
1328C2×C4⋊C4—591no—
1329C2×C4⋊C4—591no—
1330C2×C4⋊C4—1181no—
1331C2×C4⋊C4—1181no—
1332C2×C4⋊C4C22×D5911yescharacteristic
1333C2×C4⋊C4C22×D5911yescharacteristic
1334C2×C22⋊C4—1181no—
1335C2×C22⋊C4—1181no—
1336C2×C22⋊C4—1181no—
1337C2×C22⋊C4—1181no—
1338C2×C22⋊C4—1181no—
1339C2×C42—1181no—
1340#107—591no—
1341#107—591no—
1342#107—591no—
1343#107—591no—
1344#107—591no—
1345#107C22×D5911yescharacteristic
1346#107C22×D5911yescharacteristic
1347#107C22×D5911yescharacteristic
1348#106—591no—
1349#106—591no—
1350#106—591no—
1351#106—591no—
1352C4⋊C8—591no—
1353C4⋊C8—591no—
1354C4⋊C8—591no—
1355C4⋊C8C22×D5911yescharacteristic
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—591no—
1361#103—591no—
1362#103—591no—
1363#103—591no—
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103C22×D5911yescharacteristic
1369#103C22×D5911yescharacteristic
1370#103C22×D5911yescharacteristic
1371#103C22×D5911yescharacteristic
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102C22×D5911yescharacteristic
1391#102C22×D5911yescharacteristic
1392#102C22×D5911yescharacteristic
1393#102C22×D5911yescharacteristic
1394#102C22×D5911yescharacteristic
1395#102C22×D5911yescharacteristic
1396C22⋊C8—591no—
1397C22⋊C8—591no—
1398C22⋊C8—591no—
1399C22⋊C8—591no—
1400C22⋊C8—591no—
1401C22⋊C8—591no—
1402C22⋊C8C22×D5911yescharacteristic
1403C22⋊C8C22×D5911yescharacteristic
1404#97—591no—
1405#97—591no—
1406C4×C8—591no—
1407C4×C8C22×D5911yescharacteristic
1408C24—591no—
1409C24—1181no—
1410C24—1181no—
1411C24—1181no—
1412C24—1181no—
1413#41—22no—
1414#41—22no—
1415#41—41no—
1416#41—41no—
1417#41—594no—
1418#41—1182no—
1419#41—1182no—
1420#41—1182no—
1421#41—1182no—
1422#41—1182no—
1423#41—1182no—
1424#41—1182no—
1425#41—2361no—
1426#41—2364no—
1427#41—2364no—
1428#41—2364no—
1429#41—2361no—
1430C2×Q8—21no—
1431C2×Q8—591no—
1432C2×Q8—591no—
1433C2×Q8—591no—
1434C2×Q8—1181no—
1435C2×Q8—1181no—
1436C2×Q8—1181no—
1437C2×Q8—1182no—
1438C2×Q8—1182no—
1439C2×Q8—1182no—
1440C2×Q8—2361no—
1441C2×Q8C23×D5911yescharacteristic
1442C2×Q8C23×D5911yescharacteristic
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—591no—
1450C2×D4—591no—
1451C2×D4—591no—
1452C2×D4—591no—
1453C2×D4—591no—
1454C2×D4—591no—
1455C2×D4—591no—
1456C2×D4—591no—
1457C2×D4—1182no—
1458C2×D4—1181no—
1459C2×D4—1181no—
1460C2×D4—1181no—
1461C2×D4—1182no—
1462C2×D4—1182no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—1181no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1182no—
1469C2×D4—1182no—
1470C2×D4—1181no—
1471C2×D4—1181no—
1472C2×D4—1181no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—4722no—
1477C2×D4—4722no—
1478C2×D4—4722no—
1479C2×D4—2361no—
1480C2×D4—2364no—
1481C2×D4—2361no—
1482C2×D4—2361no—
1483C2×D4—2364no—
1484C2×D4—2364no—
1485C2×D4—2364no—
1486C2×D4D4×D5911yescharacteristic
1487C2×D4C23×D5911yescharacteristic
1488C2×D4C23×D5911yescharacteristic
1489C22×C4—21no—
1490C22×C4—21no—
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—591no—
1494C22×C4—591no—
1495C22×C4—591no—
1496C22×C4—591no—
1497C22×C4—591no—
1498C22×C4—591no—
1499C22×C4—1181no—
1500C22×C4—1182no—
1501C22×C4—1182no—
1502C22×C4—1181no—
1503C22×C4—1181no—
1504C22×C4—1181no—
1505C22×C4—1181no—
1506C22×C4—1181no—
1507C22×C4—1181no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—2364no—
1514C22×C4C23×D5911yescharacteristic
1515C22×C4C23×D5911yescharacteristic
1516Q16—22no—
1517Q16—1182no—
1518Q16—2361no—
1519Q16—2361no—
1520SD16—41no—
1521SD16—41no—
1522SD16—1182no—
1523SD16—1182no—
1524SD16—2361no—
1525SD16—2361no—
1526SD16—2361no—
1527SD16—2361no—
1528M16—41no—
1529M16—41no—
1530M16—1182no—
1531M16—1182no—
1532M16—2361no—
1533M16—2361no—
1534M16—2361no—
1535M16—2361no—
1536C2×C8—591no—
1537C2×C8—591no—
1538C2×C8—591no—
1539C2×C8—591no—
1540C2×C8—1182no—
1541C2×C8—1182no—
1542C2×C8—2361no—
1543C2×C8—2361no—
1544C2×C8C23×D5911yescharacteristic
1545C2×C8C23×D5911yescharacteristic
1546C2×C8C23×D5911yescharacteristic
1547C2×C8C23×D5911yescharacteristic
1548C4⋊C4—21no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—591no—
1556C4⋊C4—591no—
1557C4⋊C4—591no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—591no—
1562C4⋊C4—591no—
1563C4⋊C4—591no—
1564C4⋊C4—1181no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4—1181no—
1582C4⋊C4—1181no—
1583C4⋊C4—1181no—
1584C4⋊C4—1181no—
1585C4⋊C4D4×D5911yescharacteristic
1586C4⋊C4C23×D5911yescharacteristic
1587C4⋊C4C23×D5911yescharacteristic
1588C4⋊C4C23×D5911yescharacteristic
1589C4⋊C4C23×D5911yescharacteristic
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—591no—
1595C22⋊C4—591no—
1596C22⋊C4—591no—
1597C22⋊C4—591no—
1598C22⋊C4—591no—
1599C22⋊C4—591no—
1600C22⋊C4—591no—
1601C22⋊C4—591no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4D4×D5911yescharacteristic
1627C22⋊C4D4×D5911yescharacteristic
1628C42—21no—
1629C42—21no—
1630C42—591no—
1631C42—1181no—
1632C42—1181no—
1633C42—1181no—
1634C42—1181no—
1635C42—1181no—
1636C42—1181no—
1637C42—1181no—
1638C42—1181no—
1639C42—1181no—
1640C42—1181no—
1641C42C23×D5911yescharacteristic
1642C23—21no—
1643C23—21no—
1644C23—591no—
1645C23—591no—
1646C23—591no—
1647C23—1182no—
1648C23—1181no—
1649C23—1181no—
1650C23—4721no—
1651C23—4721no—
1652C23—4721no—
1653C23—4721no—
1654C23—4721no—
1655C23—4721no—
1656C23—4721no—
1657C23—2361no—
1658C23—2361no—
1659C23—2362no—
1660C23—2362no—
1661C23—2362no—
1662C23—2362no—
1663C23—2362no—
1664C23C2×D4×D5911yescharacteristic
1665C23C2×D4×D5911yescharacteristic
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—81no—
1670Q8—1182no—
1671Q8—1181no—
1672Q8—1181no—
1673Q8—1181no—
1674Q8—1181no—
1675Q8—4721no—
1676Q8—2362no—
1677Q8—2362no—
1678Q8#41×D5912yes—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—41no—
1684D4—42no—
1685D4—42no—
1686D4—81no—
1687D4—81no—
1688D4—81no—
1689D4—81no—
1690D4—592no—
1691D4—1182no—
1692D4—1184no—
1693D4—1182no—
1694D4—1182no—
1695D4—1181no—
1696D4—1181no—
1697D4—1181no—
1698D4—4721no—
1699D4—4721no—
1700D4—4721no—
1701D4—4721no—
1702D4—2361no—
1703D4—2362no—
1704D4—2362no—
1705D4—2362no—
1706D4—2362no—
1707D4—2361no—
1708D4—2361no—
1709D4—2362no—
1710D4—2362no—
1711D4—2362no—
1712D4—2362no—
1713D4—2362no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—42no—
1725C2×C4—42no—
1726C2×C4—81no—
1727C2×C4—81no—
1728C2×C4—591no—
1729C2×C4—592no—
1730C2×C4—592no—
1731C2×C4—591no—
1732C2×C4—591no—
1733C2×C4—591no—
1734C2×C4—591no—
1735C2×C4—1182no—
1736C2×C4—1184no—
1737C2×C4—1182no—
1738C2×C4—1182no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—1181no—
1742C2×C4—1181no—
1743C2×C4—1181no—
1744C2×C4—1181no—
1745C2×C4—1181no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—1181no—
1749C2×C4—4721no—
1750C2×C4—4721no—
1751C2×C4—4721no—
1752C2×C4—4721no—
1753C2×C4—4721no—
1754C2×C4—2362no—
1755C2×C4—2362no—
1756C2×C4—2362no—
1757C2×C4—2362no—
1758C2×C4—2362no—
1759C2×C4—2362no—
1760C2×C4C2×D4×D5911yescharacteristic
1761C2×C4C2×D4×D5911yescharacteristic
1762C2×C4C2×D4×D5911yescharacteristic
1763C2×C4C2×D4×D5911yescharacteristic
1764C2×C4C24×D5911yescharacteristic
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—21no—
1769C8—1181no—
1770C8—1181no—
1771C8—1181no—
1772C8—1181no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—592no—
1786C22—1181no—
1787C22—1181no—
1788C22—1181no—
1789C22—1182no—
1790C22—1181no—
1791C22—1181no—
1792C22—1181no—
1793C22—1181no—
1794C22—1181no—
1795C22—9442no—
1796C22—9442no—
1797C22—9442no—
1798C22—4722no—
1799C22—4724no—
1800C22—2361no—
1801C22—2361no—
1802C22—2361no—
1803C22—2361no—
1804C22—2361no—
1805C22C22×D4×D5911yescharacteristic
1806C4—21no—
1807C4—21no—
1808C4—22no—
1809C4—21no—
1810C4—21no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—592no—
1817C4—1181no—
1818C4—1181no—
1819C4—1181no—
1820C4—1181no—
1821C4—2361no—
1822C4—2361no—
1823C4—2361no—
1824C4—2361no—
1825C4—2361no—
1826C4—2361no—
1827C4C2×#41×D5911yescharacteristic
1828C4H(5,𝔽2)×D5911yescharacteristic
1829C2—41no—
1830C2—41no—
1831C2—81no—
1832C2—81no—
1833C2—1182no—
1834C2—4721no—
1835C2—2361no—
1836C2—2361no—
1837C2—2362no—
1838C2#546×D5911yescharacteristic
1839C2#2143887111yescharacteristic
1840C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3333C2
socleC22×C59C23×D4
prime radical#21437764C2
hypercenter#3333D59
hypocenterC59#61180
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3333

Complements

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

NH ≅ G/Ntype
1. #21437844C2semidirect
3. #21436430C2semidirect
4. #21436369C2semidirect
5. #21436365C2semidirect
6. #21436326C2semidirect
7. #21436322C2semidirect
8. #21436314C2semidirect
9. #21436307C2semidirect
10. #21436222C2semidirect
11. #21436215C2semidirect
12. #21436180C2semidirect
13. #21436171C2semidirect
14. #21436166C2semidirect
15. #21436159C2semidirect
16. #21436124C2semidirect
17. #21436115C2semidirect
18. #21434445C2semidirect
19. #21434069C2semidirect
20. #21434031C2semidirect
21. #21433944C2semidirect
22. #21433782C2semidirect
23. #468×D59C2semidirect
24. #21433612C2semidirect
25. #21433370C2semidirect
26. #21433353C2semidirect
27. #21432934C2semidirect
28. #21432796C2semidirect
29. #21432620C2semidirect
30. #21432612C2semidirect
31. C59×#3333C2semidirect
35. C2×#14273756C22semidirect
36. C2×SD16×D59C22semidirect
37. C2×#14273735C22semidirect
38. C2×M16×D59C22semidirect
39. #16838126C22semidirect
40. #16838123C22semidirect
41. #16838107C22semidirect
42. #16838094C22semidirect
43. #16838093C22semidirect
44. #16838092C22semidirect
45. #16838087C22semidirect
61. #16838029C22semidirect
66. #16837975C22semidirect
73. C22⋊Q8×D59C22semidirect
77. #16837883C22semidirect
78. #16837878C22semidirect
79. C2×#14273685C22semidirect
80. #16837766C22semidirect
81. #16837765C22semidirect
82. #16837764C22semidirect
83. #16837760C22semidirect
84. #16837757C22semidirect
85. #16837755C22semidirect
86. #16837747C22semidirect
87. #16837745C22semidirect
88. #16837744C22semidirect
89. #16837739C22semidirect
90. #16837737C22semidirect
91. #16837729C22semidirect
92. #16837729C22semidirect
93. #16837725C22semidirect
94. #16837725C22semidirect
95. #16837725C22semidirect
96. #16837723C22semidirect
97. #16837721C22semidirect
98. #16837718C22semidirect
99. #16837715C22semidirect
100. #16837714C22semidirect
101. #16837709C22semidirect
102. #16837707C22semidirect
103. #16837705C22semidirect
104. #16837703C22semidirect
105. #16837695C22semidirect
106. #16837681C22semidirect
107. #16837679C22semidirect
108. #16837660C22semidirect
109. #16837659C22semidirect
110. #16837651C22semidirect
111. #16837650C22semidirect
112. #16837649C22semidirect
113. #16837648C22semidirect
114. #16837647C22semidirect
115. #16837647C22semidirect
116. #16837646C22semidirect
117. #16837645C22semidirect
118. #16837644C22semidirect
119. #16837641C22semidirect
120. #16837629C22semidirect
121. #16837628C22semidirect
122. #16837625C22semidirect
123. #16837624C22semidirect
124. #16837623C22semidirect
125. #16837622C22semidirect
126. #16837601C22semidirect
127. #16837600C22semidirect
128. #16837599C22semidirect
129. #16837567C22semidirect
130. #16837566C22semidirect
131. #16837564C22semidirect
132. #16837564C22semidirect
133. #16837563C22semidirect
134. #16837562C22semidirect
135. #16837559C22semidirect
136. #16837556C22semidirect
137. #16837555C22semidirect
138. #16837554C22semidirect
139. #16837554C22semidirect
140. #16837552C22semidirect
141. #16837551C22semidirect
142. #16837551C22semidirect
143. #16837509C22semidirect
144. #16837507C22semidirect
145. #16837501C22semidirect
146. #16837500C22semidirect
147. #16837494C22semidirect
148. C4×#11745660C22semidirect
149. #16837487C22semidirect
150. #16837481C22semidirect
151. #16837478C22semidirect
152. #16837478C22semidirect
153. #16837476C22semidirect
154. #16837474C22semidirect
155. #16837472C22semidirect
156. #16837470C22semidirect
157. #16837443C22semidirect
158. #16837443C22semidirect
159. #107×D59C22semidirect
160. #16837427C22semidirect
161. #16837409C22semidirect
162. #16837409C22semidirect
163. #16837408C22semidirect
164. #16837405C22semidirect
165. #16837405C22semidirect
166. #16837405C22semidirect
167. #16837405C22semidirect
168. #16837405C22semidirect
169. #16837404C22semidirect
170. #16837403C22semidirect
172. #16837402C22semidirect
173. #16837401C22semidirect
174. #16837400C22semidirect
175. #16837398C22semidirect
178. #16837397C22semidirect
179. #16837395C22semidirect
180. #16837395C22semidirect
181. #103×D59C22semidirect
182. C2×#14273647C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. #16837364C22semidirect
187. #16837356C22semidirect
188. C59×#554C22semidirect
190. C59×#486C22semidirect
191. C59×#480C22semidirect
192. C59×#480C22semidirect
193. C59×#477C22semidirect
194. C59×#468C22semidirect
195. C59×#468C22semidirect
196. C59×#460C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C4×Q16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#417C22semidirect
202. C59×#417C22semidirect
912. #3333D59semidirect
962. #554C2×D59semidirect
1009. #486C2×D59semidirect
1024. #480C2×D59semidirect
1025. #480C2×D59semidirect
1031. #477C2×D59semidirect
1044. #468C2×D59semidirect
1045. #468C2×D59semidirect
1057. #460C2×D59semidirect
1064. #452C2×D59semidirect
1065. #452C2×D59semidirect
1079. C4×Q16C2×D59semidirect
1085. #436C2×D59semidirect
1108. #417C2×D59semidirect
1109. #417C2×D59semidirect
1123. C59#61180semidirect

Maximal subgroups

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

subgroupindex
#214378442
#214377642
#214364302
#214363692
#214363652
#214363262
#214363222
#214363142
#214363072
#214362222
#214362152
#214361802
#214361712
#214361662
#214361592
#214361242
#214361152
#214344452
#214340692
#214340312
#214339442
#214337822
#468×D592
#214336122
#214333702
#214333532
#214329342
#214327962
#214326202
#214326122
C59×#33332
#6118059