Finite Group Databasebeta

← #29475740

Subgroups — #29475740

Order 15104.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438503C211yesmaximal, characteristic, complemented
2#21437856C211yesmaximal, characteristic
3#21436322C211yesmaximal, characteristic, complemented
4#21436320C211yesmaximal, characteristic, complemented
5#21436139C211yesmaximal, characteristic, complemented
6#21436137C211yesmaximal, characteristic, complemented
7#21436134C211yesmaximal, characteristic, complemented
8#21436132C211yesmaximal, characteristic, complemented
9#21436008C211yesmaximal, characteristic, complemented
10#21436006C211yesmaximal, characteristic, complemented
11SD16×C22⋊D59C211yesmaximal, characteristic, complemented
12#21435785C211yesmaximal, characteristic, complemented
13#21435736C211yesmaximal, characteristic, complemented
14#21435735C211yesmaximal, characteristic, complemented
15#21435612C211yesmaximal, characteristic, complemented
16#21435607C211yesmaximal, characteristic, complemented
17#21435605C211yesmaximal, characteristic, complemented
18#21435102C211yesmaximal, characteristic, complemented
19#21435051C211yesmaximal, characteristic, complemented
20#21434982C211yesmaximal, characteristic, complemented
21#21434981C211yesmaximal, characteristic, complemented
22#21434974C211yesmaximal, characteristic, complemented
23#21434973C211yesmaximal, characteristic, complemented
24#21434193C211yesmaximal, characteristic, complemented
25#21434103C211yesmaximal, characteristic, complemented
26#21433372C211yesmaximal, characteristic, complemented
27#21433370C211yesmaximal, characteristic, complemented
28#21433369C211yesmaximal, characteristic, complemented
29#21433368C211yesmaximal, characteristic, complemented
30#21433168C211yesmaximal, characteristic, complemented
31C59×#3266C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#14273772C2211yescharacteristic
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273758C2211yescharacteristic, complemented
36C2×#14273756C2211yescharacteristic, complemented
37C22×#11745671C2211yescharacteristic, complemented
38C2×SD16×D59C2211yescharacteristic, complemented
39C2×SD16×D59C2211yescharacteristic, complemented
40#16838153—21no—
41#16838153—21no—
42#16838135—21no—
43#16838132—21no—
44#16838125C2211yescharacteristic, complemented
45#16838123C2211yescharacteristic, complemented
46#16838123C2211yescharacteristic, complemented
47#16838122C2211yescharacteristic, complemented
48#16838067C2211yescharacteristic, complemented
49Q8×C22⋊D59C2211yescharacteristic, complemented
50Q8×C22⋊D59C2211yescharacteristic, complemented
51#16838054C2211yescharacteristic
52#16838051C2211yescharacteristic
53#16838050—21no—
54#16838048C2211yescharacteristic
55#16838047C2211yescharacteristic
56#16838045C2211yescharacteristic
57#16838042—21no—
58#16838041—21no—
59#16838036C2211yescharacteristic
60D4×C22⋊D59C2211yescharacteristic
61#16838034—21no—
62#16838026—21no—
63#16838022—21no—
64#16838022—21no—
65#16838017—21no—
66#16837982C2211yescharacteristic
67#16837981C2211yescharacteristic
68#16837976C2211yescharacteristic, complemented
69#16837976C2211yescharacteristic, complemented
70#16837975C2211yescharacteristic, complemented
71#16837975C2211yescharacteristic, complemented
72#16837963—21no—
73#16837962—21no—
74#16837957C2211yescharacteristic, complemented
75#16837956C2211yescharacteristic, complemented
76#16837951C2211yescharacteristic
77#16837949C2211yescharacteristic
78C2×#14273700—21no—
79#121×D59—21no—
80C4×D4×D59C2211yescharacteristic
81#16837794C2211yescharacteristic, complemented
82#16837780C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837762C2211yescharacteristic, complemented
85#16837761C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837736C2211yescharacteristic, complemented
94#16837731C2211yescharacteristic, complemented
95#16837731C2211yescharacteristic, complemented
96#16837729C2211yescharacteristic, complemented
97#16837727C2211yescharacteristic, complemented
98#16837725C2211yescharacteristic, complemented
99#16837723C2211yescharacteristic, complemented
100#16837693C2211yescharacteristic, complemented
101#16837692C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837660C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837658C2211yescharacteristic, complemented
107#16837657C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837650C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837642C2211yescharacteristic, complemented
112#16837641C2211yescharacteristic, complemented
113#16837640C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic, complemented
115#16837631C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837621C2211yescharacteristic, complemented
121#16837610C2211yescharacteristic, complemented
122#16837610C2211yescharacteristic, complemented
123#16837606C2211yescharacteristic, complemented
124#16837605C2211yescharacteristic, complemented
125#16837604C2211yescharacteristic, complemented
126#16837600C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837563C2211yescharacteristic, complemented
133#16837563C2211yescharacteristic, complemented
134#16837563C2211yescharacteristic, complemented
135#16837563C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic, complemented
137#16837562C2211yescharacteristic, complemented
138#16837561C2211yescharacteristic, complemented
139#16837561C2211yescharacteristic, complemented
140#16837561C2211yescharacteristic, complemented
141#16837561C2211yescharacteristic, complemented
142#16837561C2211yescharacteristic, complemented
143#16837559C2211yescharacteristic, complemented
144#16837558C2211yescharacteristic, complemented
145#16837556C2211yescharacteristic, complemented
146#16837555C2211yescharacteristic, complemented
147#16837554C2211yescharacteristic
148#16837553C2211yescharacteristic, complemented
149#16837552C2211yescharacteristic, complemented
150#16837551C2211yescharacteristic
151#16837551C2211yescharacteristic
152#16837551C2211yescharacteristic
153#16837551C2211yescharacteristic, complemented
154#16837551C2211yescharacteristic, complemented
155#16837551C2211yescharacteristic, complemented
156#16837551C2211yescharacteristic, complemented
157#16837542C2211yescharacteristic, complemented
158#16837541C2211yescharacteristic, complemented
159#16837539C2211yescharacteristic, complemented
160#16837504C2211yescharacteristic, complemented
161#16837502C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163SD16×Dic59C2211yescharacteristic, complemented
164SD16×Dic59C2211yescharacteristic, complemented
165#16837487C2211yescharacteristic, complemented
166#16837487C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837408C2211yescharacteristic, complemented
177#16837407C2211yescharacteristic, complemented
178#16837405C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837399C2211yescharacteristic, complemented
181#16837398C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183#16837395C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837368C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C2×#137×C59C2211yescharacteristic, complemented
189C22×SD16×C59C2211yescharacteristic, complemented
190D4×Q8×C59C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic
192C59×#497C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#467C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#448C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745687—21no—
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216C2×Q8×D59C2311yescharacteristic
217C2×Q8×D59C2311yescharacteristic
218C22×D236—21no—
219C22×D236C2311yescharacteristic
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C22×C4×D59—21no—
231#14273759—42no—
232#14273758—42no—
233#14273756—42no—
234C2×Dic236C2311yescharacteristic
235C2×#11745672C2311yescharacteristic
236C2×#11745672C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745672C2311yescharacteristic
239C2×#11745660C2311yescharacteristic
240C2×#11745660C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745670C2311yescharacteristic
243C2×#11745671—42no—
244C2×#11745671C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250SD16×D59—42no—
251SD16×D59—42no—
252C2×#11745664C2311yescharacteristic
253C2×#11745659C2311yescharacteristic
254C2×#11745659C2311yescharacteristic
255C22×C59⋊C8C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257C2×C8×D59C2311yescharacteristic
258#14273727C2311yescharacteristic
259#14273726—21no—
260#14273726—21no—
261#14273726—21no—
262#14273726D411yescharacteristic
263#14273726C2311yescharacteristic
264#14273725—21no—
265#14273725—21no—
266#14273725—21no—
267#14273725—21no—
268#14273725C2311yescharacteristic
269#14273725C2311yescharacteristic
270#14273723D411yescharacteristic
271#14273723C2311yescharacteristic
272#14273722—21no—
273#14273722—21no—
274#14273722—21no—
275#14273722—21no—
276#14273720—21no—
277#14273720—21no—
278#14273720—21no—
279#14273720—21no—
280#14273718—21no—
281#14273717—21no—
282#14273716—21no—
283#14273716—21no—
284#14273715—21no—
285#14273715C2311yescharacteristic
286#14273714—21no—
287#14273713—21no—
288#14273713—21no—
289#14273713—21no—
290#14273713—21no—
291#14273713D411yescharacteristic
292#14273713D411yescharacteristic
293#14273712—21no—
294#14273712—21no—
295#14273712—21no—
296#14273712—21no—
297#14273711—21no—
298#14273710—21no—
299#14273710—21no—
300#14273710—21no—
301#14273710—21no—
302#14273710—21no—
303#14273709—21no—
304#14273709—21no—
305#14273709—21no—
306#14273709—21no—
307#14273708—21no—
308#14273707—21no—
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
311#14273706—21no—
312#14273706—21no—
313#14273706C2311yescharacteristic
314#14273706C2311yescharacteristic
315#14273706C2311yescharacteristic
316#14273705—21no—
317#14273705—21no—
318#14273705—21no—
319#14273705—21no—
320#14273704—21no—
321#14273703—21no—
322#14273703—21no—
323#14273703C2311yescharacteristic
324#14273703C2311yescharacteristic
325#14273703C2311yescharacteristic
326#14273703C2311yescharacteristic
327#14273703C2311yescharacteristic
328#14273703C2311yescharacteristic
329#14273703C2311yescharacteristic
330#14273703C2311yescharacteristic
331#14273702—21no—
332#14273702D411yescharacteristic
333#14273702C2311yescharacteristic
334#14273701—21no—
335#14273701C2311yescharacteristic
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273700—21no—
342#14273700—21no—
343#14273700—21no—
344#14273700—21no—
345#14273700D411yescharacteristic
346#14273700D411yescharacteristic
347#14273699—21no—
348#14273699—21no—
349#14273699—21no—
350#14273698—21no—
351#14273698D411yescharacteristic
352#14273698C2311yescharacteristic
353#14273697—21no—
354#14273697—21no—
355#14273697—21no—
356#14273696—21no—
357#14273695—21no—
358#14273695—21no—
359#14273695—21no—
360Q8×Dic59C2311yescharacteristic
361Q8×Dic59C2311yescharacteristic
362C4×Dic118—21no—
363C4×Dic118—21no—
364C4×Dic118C2311yescharacteristic
365#14273692—21no—
366#14273692—21no—
367#14273692—21no—
368#14273692—21no—
369C4×D236C2311yescharacteristic
370C4×D236C2311yescharacteristic
371D4×Dic59C2311yescharacteristic
372#14273689—21no—
373#14273689C2311yescharacteristic
374C4×C22⋊D59—21no—
375C4×C22⋊D59—21no—
376C4×C22⋊D59—21no—
377C4×C22⋊D59C2311yescharacteristic
378C4×C22⋊D59C2311yescharacteristic
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4—21no—
382#14273686C2311yescharacteristic
383#14273686C2311yescharacteristic
384#14273685—21no—
385#14273685C2311yescharacteristic
386#14273685C2311yescharacteristic
387#14273684—21no—
388C2×Dic59⋊C4—21no—
389C4⋊C4×D59—21no—
390C4⋊C4×D59C2311yescharacteristic
391C2×(C2×D59)⋊C4—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C42×D59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442#14273638C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C22×Q8×C59C2311yescharacteristic
447C22×Q8×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449#137×C59—42no—
450C2×Q16×C59C2311yescharacteristic
451C2×Q16×C59C2311yescharacteristic
452C2×Q16×C59C2311yescharacteristic
453C2×SD16×C59—42no—
454C2×SD16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×SD16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic
458C2×SD16×C59C2311yescharacteristic
459C2×SD16×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic
462C4⋊Q8×C59—21no—
463C4⋊Q8×C59C2311yescharacteristic
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466C22⋊Q8×C59—21no—
467C22⋊Q8×C59—21no—
468C22⋊Q8×C59C2311yescharacteristic
469C22⋊Q8×C59C2311yescharacteristic
470C22⋊Q8×C59C2311yescharacteristic
471#121×C59—21no—
472#121×C59C2311yescharacteristic
473#120×C59—21no—
474C4×Q8×C59C2311yescharacteristic
475C4×D4×C59—21no—
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C2×C22⋊C4×C59—21no—
479#107×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#103×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495#41×C59—22no—
496#41×C59—41no—
497C2×Q8×C59—21no—
498C2×Q8×C59—21no—
499C2×Q8×C59—41no—
500C2×Q8×C59—41no—
501C2×Q8×C59—41no—
502C2×Q8×C59—41no—
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×Q8×C59C2411yescharacteristic
507C2×D4×C59—22no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—41no—
512C2×D4×C59C2×D411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59C2411yescharacteristic
520C22×C4×C59C2411yescharacteristic
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—44no—
532C2×C22⋊D59—44no—
533C2×C22⋊D59—82no—
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C2×C22⋊D59C2×D411yescharacteristic
537C2×C22⋊D59C2×D411yescharacteristic
538C2×C22⋊D59C2×D411yescharacteristic
539C2×C22⋊D59C2×D411yescharacteristic
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59—21no—
543#11745689—22no—
544#11745689—41no—
545#11745689—41no—
546#11745689—41no—
547Q8×D59—41no—
548Q8×D59—41no—
549Q8×D59—41no—
550Q8×D59—41no—
551#11745687—22no—
552#11745687—41no—
553#11745687—41no—
554#11745687—41no—
555#11745687—44no—
556D4×D59—22no—
557D4×D59—22no—
558D4×D59—22no—
559D4×D59—22no—
560D4×D59—41no—
561D4×D59—41no—
562D4×D59—44no—
563D4×D59—44no—
564D4×D59—44no—
565D4×D59—82no—
566#11745685—22no—
567#11745685—41no—
568#11745685—41no—
569#11745685—41no—
570#11745685—41no—
571#11745685—41no—
572#11745685—44no—
573C2×D236—22no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—41no—
579C2×D236—44no—
580C2×D236C2×D411yescharacteristic
581C2×D236C2×D411yescharacteristic
582C2×D236C2×D411yescharacteristic
583C2×D236C2411yescharacteristic
584C2×D236C2411yescharacteristic
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—82no—
594C2×C4×D59C2×D411yescharacteristic
595C2×C4×D59C2×D411yescharacteristic
596C2×C4×D59C2411yescharacteristic
597C2×C4×D59C2411yescharacteristic
598C2×C4×D59C2411yescharacteristic
599C2×Dic118—21no—
600C2×Dic118—21no—
601C2×Dic118—21no—
602C2×Dic118—21no—
603C2×Dic118C2×D411yescharacteristic
604C2×Dic118C2×D411yescharacteristic
605C2×Dic118C2411yescharacteristic
606C2×Dic118C2411yescharacteristic
607Q16×C59—41no—
608Q16×C59—41no—
609Q16×C59—41no—
610SD16×C59—22no—
611SD16×C59—22no—
612SD16×C59—22no—
613SD16×C59—41no—
614SD16×C59—41no—
615SD16×C59—41no—
616M16×C59—41no—
617C2×C8×C59—41no—
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C2×C8×C59C2411yescharacteristic
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59C2×D411yescharacteristic
629C4⋊C4×C59C2411yescharacteristic
630C4⋊C4×C59C2411yescharacteristic
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59C2×D411yescharacteristic
639C22⋊C4×C59C2×D411yescharacteristic
640C42×C59—21no—
641C42×C59C2411yescharacteristic
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59C2×D411yescharacteristic
650C22⋊Dic59C2×D411yescharacteristic
651#11745672—41no—
652#11745672—41no—
653#11745672—41no—
654#11745672—41no—
655#11745671—22no—
656#11745671—22no—
657#11745671—22no—
658#11745671—41no—
659#11745671—41no—
660#11745671—41no—
661#11745670—22no—
662#11745670—41no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4C2×D411yescharacteristic
682(C2×D59)⋊C4C2×D411yescharacteristic
683(C2×D59)⋊C4C2×D411yescharacteristic
684(C2×D59)⋊C4C2×D411yescharacteristic
685C4⋊Dic59—21no—
686C4⋊Dic59—21no—
687C4⋊Dic59—21no—
688C4⋊Dic59—21no—
689C4⋊Dic59—21no—
690C4⋊Dic59C2×D411yescharacteristic
691C4⋊Dic59C2411yescharacteristic
692C4⋊Dic59C2411yescharacteristic
693C4⋊Dic59C2411yescharacteristic
694C4⋊Dic59C2411yescharacteristic
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4—21no—
698Dic59⋊C4—21no—
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4C2×D411yescharacteristic
714Dic59⋊C4C2×D411yescharacteristic
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59C2×D411yescharacteristic
723C4×Dic59C2×D411yescharacteristic
724C4×Dic59C2411yescharacteristic
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731Dic236—41no—
732#11745660—22no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—42no—
741C23×C59—81no—
742C23×C59—81no—
743C23×C59C22×D411yescharacteristic
744C23×C59C22×D411yescharacteristic
745C22×D59—21no—
746C22×D59—24no—
747C22×D59—21no—
748C22×D59—42no—
749C22×D59—42no—
750C22×D59—42no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59C22×D411yescharacteristic
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762Q8×C59—21no—
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770Q8×C59—81no—
771Q8×C59—81no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—41no—
776D4×C59—42no—
777D4×C59—42no—
778D4×C59—81no—
779D4×C59H(5,𝔽2)12yes—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—42no—
791C2×C4×C59—81no—
792C2×C4×C59—81no—
793C2×C4×C59—81no—
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C2511yescharacteristic
799C22⋊D59—24no—
800C22⋊D59—22no—
801C22⋊D59—22no—
802C22⋊D59—41no—
803C22⋊D59—41no—
804C22⋊D59—41no—
805C22⋊D59—41no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—21no—
821C2×Dic59—42no—
822C2×Dic59—42no—
823C2×Dic59—42no—
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828C2×Dic59C22×D411yescharacteristic
829D236—21no—
830D236—21no—
831D236—21no—
832D236—41no—
833D236—41no—
834D236—41no—
835D236—42no—
836D236—42no—
837D236—42no—
838D236—81no—
839D236H(5,𝔽2)12yes—
840C4×D59—21no—
841C4×D59—21no—
842C4×D59—21no—
843C4×D59—21no—
844C4×D59—21no—
845C4×D59—21no—
846C4×D59—22no—
847C4×D59—41no—
848C4×D59—42no—
849C4×D59—42no—
850C4×D59—42no—
851C4×D59—42no—
852C4×D59—81no—
853C4×D59—81no—
854C4×D59—81no—
855C4×D59—81no—
856Dic118—21no—
857Dic118—21no—
858Dic118—21no—
859Dic118—21no—
860Dic118—41no—
861Dic118—41no—
862Dic118—42no—
863Dic118—42no—
864Dic118—81no—
865Dic118—81no—
866C8×C59—21no—
867C8×C59—21no—
868C8×C59—21no—
869C8×C59—21no—
870C59⋊C8—21no—
871C59⋊C8—21no—
872C59⋊C8—21no—
873C59⋊C8—21no—
874#61680—591nomaximal, Sylow
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—22no—
878C22×C59—21no—
879C22×C59—21no—
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—162no—
888C22×C59C23×D411yescharacteristic
889C2×D59—21no—
890C2×D59—21no—
891C2×D59—21no—
892C2×D59—21no—
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—22no—
896C2×D59—21no—
897C2×D59—21no—
898C2×D59—21no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—84no—
905C2×D59—162no—
906C2×D59—162no—
907C2×D59—162no—
908C4×C59—21no—
909C4×C59—21no—
910C4×C59—21no—
911C4×C59—21no—
912C4×C59—41no—
913C4×C59—41no—
914C4×C59—41no—
915C4×C59—41no—
916C4×C59—41no—
917C4×C59—41no—
918C4×C59C2×H(5,𝔽2)11yescharacteristic
919C4×C59C2×H(5,𝔽2)11yescharacteristic
920Dic59—21no—
921Dic59—21no—
922Dic59—21no—
923Dic59—21no—
924Dic59—41no—
925Dic59—41no—
926Dic59—41no—
927Dic59—41no—
928Dic59—41no—
929Dic59—41no—
930Dic59#57712yes—
931#3550—591no—
932#3496—591no—
933#3324—591no—
934#3324—591no—
935#3311—591no—
936#3311—591no—
937#3311—591no—
938#3311—591no—
939#3302—591no—
940#3302—591no—
941D4×SD16—591no—
942D4×SD16—591no—
943#3276—591no—
944#3276—591no—
945#3266—591no—
946#3266—591no—
947#3266—591no—
948#3266D5911yescharacteristic, complemented
949#3216—591no—
950#3210—591no—
951#3201—591no—
952#3201—591no—
953#3201—591no—
954#3201—591no—
955#3110—591no—
956#3101—591no—
957#3009—591no—
958#3009—591no—
959#3009—591no—
960#3009—591no—
961#2981—591no—
962C2×C59—42no—
963C2×C59—41no—
964C2×C59—41no—
965C2×C59—81no—
966C2×C59#348411yescharacteristic
967C2×C59C2×#57711yescharacteristic
968C2×C59#358611yescharacteristic
969D59—41no—
970D59—41no—
971D59—41no—
972D59—42no—
973D59—81no—
974C2×H(5,𝔽2)—591no—
975C2×H(5,𝔽2)—591no—
976C2×#137—591no—
977C2×#137—591no—
978C2×#137—591no—
979C2×#137C2×D5911yescharacteristic, complemented
980C22×SD16—591no—
981C22×SD16—591no—
982C22×SD16—591no—
983C22×SD16C2×D5911yescharacteristic, complemented
984#563—1181no—
985#563—1181no—
986#559—1181no—
987Q82—1181no—
988#556—591no—
989#556—591no—
990#556—591no—
991#556—591no—
992D4×Q8—591no—
993D4×Q8—591no—
994D4×Q8—591no—
995D4×Q8C2×D5911yescharacteristic, complemented
996#547—591no—
997#547—591no—
998#547—1181no—
999#546—591no—
1000#546—591no—
1001#546—591no—
1002#546—1181no—
1003#546—1181no—
1004#546C2×D5911yescharacteristic
1005D42—591no—
1006D42—591no—
1007D42—1181no—
1008#542—1181no—
1009#542—1181no—
1010#542—1181no—
1011#542—1181no—
1012#537—591no—
1013#537—591no—
1014#536—591no—
1015#536—591no—
1016#536—591no—
1017#536—591no—
1018#534—1181no—
1019#534—1181no—
1020#533—591no—
1021#533—591no—
1022#532—591no—
1023#532—591no—
1024C2×#121—1181no—
1025C2×#121—1181no—
1026C2×C4×D4—591no—
1027#497—591no—
1028#497C2×D5911yescharacteristic, complemented
1029#494—591no—
1030#492—591no—
1031#489—591no—
1032#489—591no—
1033#487—591no—
1034#486—591no—
1035#485—591no—
1036#485—591no—
1037#485—591no—
1038#485—591no—
1039#484—591no—
1040#484—591no—
1041#483—591no—
1042#483—591no—
1043#482—591no—
1044#482—591no—
1045#482—591no—
1046#482—591no—
1047#476—591no—
1048#476—591no—
1049#474—591no—
1050#474—591no—
1051#470—591no—
1052#470—591no—
1053#470—591no—
1054#470—591no—
1055#468—591no—
1056#468—591no—
1057#468—591no—
1058#468C2×D5911yescharacteristic, complemented
1059#467—591no—
1060#467—591no—
1061#467—591no—
1062#467C2×D5911yescharacteristic, complemented
1063#465—591no—
1064#465—591no—
1065#465—591no—
1066#465—591no—
1067#464—591no—
1068#464—591no—
1069#464—591no—
1070#464C2×D5911yescharacteristic, complemented
1071#462—591no—
1072#462—591no—
1073#461—591no—
1074#461—591no—
1075#461—591no—
1076#461C2×D5911yescharacteristic, complemented
1077#460—591no—
1078#460—591no—
1079#452—591no—
1080#452—591no—
1081#452—591no—
1082#452—591no—
1083#452—591no—
1084#452—591no—
1085#452—591no—
1086#452—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452C2×D5911yescharacteristic, complemented
1095#451—591no—
1096#451—591no—
1097#451—591no—
1098#451C2×D5911yescharacteristic, complemented
1099#450—591no—
1100#450—591no—
1101#450—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#450—591no—
1107#450—591no—
1108#450—591no—
1109#450—591no—
1110#450C2×D5911yescharacteristic, complemented
1111#448—591no—
1112#448—591no—
1113#448—591no—
1114#448C2×D5911yescharacteristic, complemented
1115#440—591no—
1116#440—591no—
1117#440—591no—
1118#440C2×D5911yescharacteristic, complemented
1119C4×SD16—591no—
1120C4×SD16—591no—
1121C4×SD16—591no—
1122C4×SD16—591no—
1123#436—591no—
1124#436—591no—
1125#435—591no—
1126#435—591no—
1127#435—591no—
1128#435C2×D5911yescharacteristic, complemented
1129C8×D4—591no—
1130C8×D4—591no—
1131#432—591no—
1132#431—591no—
1133#418—591no—
1134#418—591no—
1135#418—591no—
1136#418—591no—
1137#416—591no—
1138#416—591no—
1139#416—591no—
1140#416—591no—
1141#408—591no—
1142#408—591no—
1143#408—591no—
1144#408—591no—
1145C59#6168011yescharacteristic, complemented, Sylow
1146H(5,𝔽2)—2362no—
1147H(5,𝔽2)—2362no—
1148H(5,𝔽2)—2362no—
1149H(5,𝔽2)—2362no—
1150C2×#41—591no—
1151C2×#41—591no—
1152C2×#41—591no—
1153C2×#41—591no—
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—1181no—
1158C2×#41—1181no—
1159C2×#41C22×D5911yescharacteristic
1160C22×Q8—591no—
1161C22×Q8—591no—
1162C22×Q8C22×D5911yescharacteristic
1163C22×Q8C22×D5911yescharacteristic
1164C22×D4—591no—
1165C22×D4—591no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—1181no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C22×D4—1181no—
1175C22×D4—1181no—
1176C22×D4C22×D5911yescharacteristic
1177C23×C4—1181no—
1178#137—42no—
1179#137—2362no—
1180#137—2362no—
1181#137—2362no—
1182C2×Q16—591no—
1183C2×Q16—591no—
1184C2×Q16—591no—
1185C2×Q16—591no—
1186C2×Q16—591no—
1187C2×Q16C22×D5911yescharacteristic
1188C2×Q16C22×D5911yescharacteristic
1189C2×Q16C22×D5911yescharacteristic
1190C2×SD16—42no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—591no—
1195C2×SD16—591no—
1196C2×SD16—591no—
1197C2×SD16—591no—
1198C2×SD16—591no—
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—2362no—
1202C2×SD16—2362no—
1203C2×SD16—2362no—
1204C2×SD16C22×D5911yescharacteristic
1205C2×SD16C22×D5911yescharacteristic
1206C2×SD16C22×D5911yescharacteristic
1207C2×SD16C22×D5911yescharacteristic
1208C2×SD16C22×D5911yescharacteristic
1209C2×SD16C22×D5911yescharacteristic
1210C2×M16—591no—
1211C2×M16—591no—
1212C2×M16—591no—
1213C2×M16C22×D5911yescharacteristic
1214C22×C8—591no—
1215C22×C8—591no—
1216C22×C8—591no—
1217C22×C8C22×D5911yescharacteristic
1218C4⋊Q8—21no—
1219C4⋊Q8—591no—
1220C4⋊Q8—591no—
1221C4⋊Q8—591no—
1222C4⋊Q8—591no—
1223C4⋊Q8—591no—
1224C4⋊Q8—1181no—
1225C4⋊Q8—1181no—
1226C4⋊Q8—1181no—
1227C4⋊Q8—1181no—
1228C4⋊Q8—1181no—
1229C4⋊Q8—1181no—
1230C4⋊Q8—1181no—
1231C4⋊Q8C22×D5911yescharacteristic
1232#127—591no—
1233#127—591no—
1234#126—1181no—
1235#126—1181no—
1236#126—1181no—
1237#126—1181no—
1238#126—1181no—
1239#126—1181no—
1240#126—1181no—
1241#126—1181no—
1242#125—1181no—
1243#125—1181no—
1244#124—591no—
1245#124—591no—
1246#124—591no—
1247#124—1181no—
1248#124—1181no—
1249#124—1181no—
1250#124—1181no—
1251#124—1181no—
1252#124—1181no—
1253#124—1181no—
1254#124—1181no—
1255#124C22×D5911yescharacteristic
1256#123—21no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272C22⋊Q8—21no—
1273C22⋊Q8—21no—
1274C22⋊Q8—591no—
1275C22⋊Q8—591no—
1276C22⋊Q8—591no—
1277C22⋊Q8—591no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8C22×D5911yescharacteristic
1298C22⋊Q8C22×D5911yescharacteristic
1299C22⋊Q8C22×D5911yescharacteristic
1300#121—21no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121C22×D5911yescharacteristic
1324#120—21no—
1325#120—1181no—
1326#120—1181no—
1327#120—1181no—
1328#120—1181no—
1329#120—1181no—
1330#120—1181no—
1331#120—1181no—
1332C4×Q8—591no—
1333C4×Q8—591no—
1334C4×Q8—591no—
1335C4×Q8—1181no—
1336C4×Q8—1181no—
1337C4×Q8—1181no—
1338C4×Q8—1181no—
1339C4×Q8—1181no—
1340C4×Q8—1181no—
1341C4×Q8C22×D5911yescharacteristic
1342C4×D4—21no—
1343C4×D4—591no—
1344C4×D4—591no—
1345C4×D4—591no—
1346C4×D4—591no—
1347C4×D4—591no—
1348C4×D4—591no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4C22×D5911yescharacteristic
1357C4×D4C22×D5911yescharacteristic
1358#117—591no—
1359#117—591no—
1360#117—591no—
1361#117—591no—
1362#117—1181no—
1363#117—1181no—
1364C2×C4⋊C4—591no—
1365C2×C4⋊C4—1181no—
1366C2×C4⋊C4—1181no—
1367C2×C22⋊C4—21no—
1368C2×C22⋊C4—1181no—
1369C2×C22⋊C4—1181no—
1370C2×C22⋊C4—1181no—
1371C2×C22⋊C4—1181no—
1372C2×C42—591no—
1373#107—591no—
1374#107—591no—
1375#107—591no—
1376#107C22×D5911yescharacteristic
1377#106—591no—
1378#106—591no—
1379#106—591no—
1380#106—591no—
1381C4⋊C8—591no—
1382C4⋊C8—591no—
1383C4⋊C8—591no—
1384C4⋊C8C22×D5911yescharacteristic
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103C22×D5911yescharacteristic
1398#103C22×D5911yescharacteristic
1399#103C22×D5911yescharacteristic
1400#103C22×D5911yescharacteristic
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102C22×D5911yescharacteristic
1416#102C22×D5911yescharacteristic
1417C22⋊C8—591no—
1418C22⋊C8—591no—
1419C22⋊C8—591no—
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8—591no—
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8C22×D5911yescharacteristic
1428C22⋊C8C22×D5911yescharacteristic
1429#97—591no—
1430#97C22×D5911yescharacteristic
1431C4×C8—591no—
1432C4×C8—591no—
1433C24—21no—
1434C24—1181no—
1435C24—1181no—
1436C24—1181no—
1437C24—1181no—
1438#41—22no—
1439#41—41no—
1440#41—1182no—
1441#41—1182no—
1442#41—1182no—
1443#41—2361no—
1444#41—2361no—
1445#41—2361no—
1446#41—2361no—
1447#41—2361no—
1448#41—2364no—
1449#41—2361no—
1450#41—2361no—
1451#41—2361no—
1452#41—2361no—
1453#41—2361no—
1454#41—2361no—
1455#41—2364no—
1456C2×Q8—21no—
1457C2×Q8—21no—
1458C2×Q8—41no—
1459C2×Q8—41no—
1460C2×Q8—41no—
1461C2×Q8—41no—
1462C2×Q8—591no—
1463C2×Q8—591no—
1464C2×Q8—591no—
1465C2×Q8—591no—
1466C2×Q8—1181no—
1467C2×Q8—1181no—
1468C2×Q8—1181no—
1469C2×Q8—1181no—
1470C2×Q8—2361no—
1471C2×Q8—2361no—
1472C2×Q8—2361no—
1473C2×Q8—2361no—
1474C2×Q8C23×D5911yescharacteristic
1475C2×Q8C23×D5911yescharacteristic
1476C2×Q8C23×D5911yescharacteristic
1477C2×Q8C23×D5911yescharacteristic
1478C2×D4—22no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—41no—
1483C2×D4—591no—
1484C2×D4—591no—
1485C2×D4—591no—
1486C2×D4—591no—
1487C2×D4—591no—
1488C2×D4—591no—
1489C2×D4—591no—
1490C2×D4—591no—
1491C2×D4—591no—
1492C2×D4—591no—
1493C2×D4—591no—
1494C2×D4—1182no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1182no—
1504C2×D4—1182no—
1505C2×D4—1182no—
1506C2×D4—1182no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—4722no—
1514C2×D4—4722no—
1515C2×D4—2361no—
1516C2×D4—2364no—
1517C2×D4—2361no—
1518C2×D4—2361no—
1519C2×D4—2364no—
1520C2×D4—2364no—
1521C2×D4—2364no—
1522C2×D4—2364no—
1523C2×D4—2364no—
1524C2×D4D4×D5911yescharacteristic
1525C2×D4C23×D5911yescharacteristic
1526C2×D4C23×D5911yescharacteristic
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—591no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—4722no—
1548C22×C4C23×D5911yescharacteristic
1549C22×C4C23×D5911yescharacteristic
1550Q16—41no—
1551Q16—41no—
1552Q16—41no—
1553Q16—2361no—
1554Q16—2361no—
1555Q16—2361no—
1556Q16—2361no—
1557Q16—2361no—
1558SD16—22no—
1559SD16—22no—
1560SD16—22no—
1561SD16—41no—
1562SD16—41no—
1563SD16—41no—
1564SD16—1182no—
1565SD16—1182no—
1566SD16—1182no—
1567SD16—1182no—
1568SD16—1182no—
1569SD16—2361no—
1570SD16—2361no—
1571SD16—2361no—
1572SD16—2361no—
1573SD16—2361no—
1574M16—41no—
1575M16—2361no—
1576M16—2361no—
1577M16—2361no—
1578C2×C8—41no—
1579C2×C8—591no—
1580C2×C8—591no—
1581C2×C8—591no—
1582C2×C8—591no—
1583C2×C8—2361no—
1584C2×C8—2361no—
1585C2×C8—2361no—
1586C2×C8C23×D5911yescharacteristic
1587C2×C8C23×D5911yescharacteristic
1588C2×C8C23×D5911yescharacteristic
1589C2×C8C23×D5911yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—591no—
1597C4⋊C4—591no—
1598C4⋊C4—591no—
1599C4⋊C4—591no—
1600C4⋊C4—591no—
1601C4⋊C4—591no—
1602C4⋊C4—591no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4D4×D5911yescharacteristic
1627C4⋊C4C23×D5911yescharacteristic
1628C4⋊C4C23×D5911yescharacteristic
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—591no—
1637C22⋊C4—591no—
1638C22⋊C4—591no—
1639C22⋊C4—591no—
1640C22⋊C4—591no—
1641C22⋊C4—591no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4D4×D5911yescharacteristic
1668C22⋊C4D4×D5911yescharacteristic
1669C42—21no—
1670C42—591no—
1671C42—591no—
1672C42—591no—
1673C42—1181no—
1674C42—1181no—
1675C42—1181no—
1676C42—1181no—
1677C42—1181no—
1678C42—1181no—
1679C42—1181no—
1680C42C23×D5911yescharacteristic
1681C23—21no—
1682C23—21no—
1683C23—42no—
1684C23—81no—
1685C23—81no—
1686C23—591no—
1687C23—591no—
1688C23—591no—
1689C23—1184no—
1690C23—1181no—
1691C23—1181no—
1692C23—4721no—
1693C23—4721no—
1694C23—4721no—
1695C23—4721no—
1696C23—4721no—
1697C23—4721no—
1698C23—4721no—
1699C23—4721no—
1700C23—2362no—
1701C23—2362no—
1702C23—2362no—
1703C23C2×D4×D5911yescharacteristic
1704C23C2×D4×D5911yescharacteristic
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—21no—
1710Q8—21no—
1711Q8—21no—
1712Q8—21no—
1713Q8—81no—
1714Q8—81no—
1715Q8—1181no—
1716Q8—1181no—
1717Q8—1181no—
1718Q8—1181no—
1719Q8—4721no—
1720Q8—4721no—
1721Q8—2361no—
1722Q8—2361no—
1723Q8—2362no—
1724Q8—2362no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—41no—
1729D4—42no—
1730D4—42no—
1731D4—81no—
1732D4—592no—
1733D4—1182no—
1734D4—1182no—
1735D4—1184no—
1736D4—1181no—
1737D4—1181no—
1738D4—1181no—
1739D4—4721no—
1740D4—4721no—
1741D4—4721no—
1742D4—4721no—
1743D4—2361no—
1744D4—2361no—
1745D4—2361no—
1746D4—2362no—
1747D4—2362no—
1748D4—2362no—
1749D4—2362no—
1750D4—2361no—
1751D4—2361no—
1752D4—2361no—
1753D4—2361no—
1754D4—2362no—
1755D4—2362no—
1756D4—2362no—
1757D4—2362no—
1758D4—2362no—
1759D4#1427377212yes—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—42no—
1771C2×C4—81no—
1772C2×C4—81no—
1773C2×C4—81no—
1774C2×C4—591no—
1775C2×C4—591no—
1776C2×C4—591no—
1777C2×C4—591no—
1778C2×C4—591no—
1779C2×C4—1182no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—1181no—
1784C2×C4—1181no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—1181no—
1789C2×C4—1181no—
1790C2×C4—1181no—
1791C2×C4—1181no—
1792C2×C4—4721no—
1793C2×C4—4721no—
1794C2×C4—4721no—
1795C2×C4—4721no—
1796C2×C4—2361no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2362no—
1801C2×C4—2362no—
1802C2×C4—2362no—
1803C2×C4—2362no—
1804C2×C4C2×D4×D5911yescharacteristic
1805C2×C4C2×D4×D5911yescharacteristic
1806C2×C4C2×D4×D5911yescharacteristic
1807C2×C4C2×D4×D5911yescharacteristic
1808C2×C4C24×D5911yescharacteristic
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—1181no—
1814C8—1181no—
1815C8—1181no—
1816C8—1181no—
1817C22—21no—
1818C22—21no—
1819C22—22no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—162no—
1830C22—1181no—
1831C22—1181no—
1832C22—1181no—
1833C22—1182no—
1834C22—1181no—
1835C22—1181no—
1836C22—1181no—
1837C22—1181no—
1838C22—1181no—
1839C22—1181no—
1840C22—9442no—
1841C22—9442no—
1842C22—9442no—
1843C22—4724no—
1844C22—2361no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22C22×D4×D5911yescharacteristic
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—21no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—592no—
1861C4—1181no—
1862C4—1181no—
1863C4—1181no—
1864C4—1181no—
1865C4—2361no—
1866C4—2361no—
1867C4—2361no—
1868C4—2361no—
1869C4—2361no—
1870C4—2361no—
1871C4H(5,𝔽2)×D5911yescharacteristic
1872C4C2×#1427377211yescharacteristic
1873C2—41no—
1874C2—41no—
1875C2—42no—
1876C2—81no—
1877C2—4721no—
1878C2—2361no—
1879C2—2361no—
1880C2—2361no—
1881C2—2362no—
1882C2#2143772411yescharacteristic
1883C2#577×D5911yescharacteristic
1884C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3266C2
socleC22×C59C23×D4
prime radical#21437856C2
hypercenter#3266D59
hypocenterC59#61680
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #21438503C2semidirect
3. #21436322C2semidirect
4. #21436320C2semidirect
5. #21436139C2semidirect
6. #21436137C2semidirect
7. #21436134C2semidirect
8. #21436132C2semidirect
9. #21436008C2semidirect
10. #21436006C2semidirect
11. SD16×C22⋊D59C2semidirect
12. #21435785C2semidirect
13. #21435736C2semidirect
14. #21435735C2semidirect
15. #21435612C2semidirect
16. #21435607C2semidirect
17. #21435605C2semidirect
18. #21435102C2semidirect
19. #21435051C2semidirect
20. #21434982C2semidirect
21. #21434981C2semidirect
22. #21434974C2semidirect
23. #21434973C2semidirect
24. #21434193C2semidirect
25. #21434103C2semidirect
26. #21433372C2semidirect
27. #21433370C2semidirect
28. #21433369C2semidirect
29. #21433368C2semidirect
30. #21433168C2semidirect
31. C59×#3266C2semidirect
34. C2×#14273759C22semidirect
35. C2×#14273758C22semidirect
36. C2×#14273756C22semidirect
37. C22×#11745671C22semidirect
38. C2×SD16×D59C22semidirect
39. C2×SD16×D59C22semidirect
44. #16838125C22semidirect
45. #16838123C22semidirect
46. #16838123C22semidirect
47. #16838122C22semidirect
48. #16838067C22semidirect
49. Q8×C22⋊D59C22semidirect
50. Q8×C22⋊D59C22semidirect
68. #16837976C22semidirect
69. #16837976C22semidirect
70. #16837975C22semidirect
71. #16837975C22semidirect
74. #16837957C22semidirect
75. #16837956C22semidirect
81. #16837794C22semidirect
82. #16837780C22semidirect
83. #16837773C22semidirect
84. #16837762C22semidirect
85. #16837761C22semidirect
86. #16837751C22semidirect
87. #16837747C22semidirect
88. #16837745C22semidirect
89. #16837744C22semidirect
90. #16837741C22semidirect
91. #16837740C22semidirect
92. #16837739C22semidirect
93. #16837736C22semidirect
94. #16837731C22semidirect
95. #16837731C22semidirect
96. #16837729C22semidirect
97. #16837727C22semidirect
98. #16837725C22semidirect
99. #16837723C22semidirect
100. #16837693C22semidirect
101. #16837692C22semidirect
102. #16837681C22semidirect
103. #16837680C22semidirect
104. #16837660C22semidirect
105. #16837659C22semidirect
106. #16837658C22semidirect
107. #16837657C22semidirect
108. #16837651C22semidirect
109. #16837650C22semidirect
110. #16837645C22semidirect
111. #16837642C22semidirect
112. #16837641C22semidirect
113. #16837640C22semidirect
114. #16837634C22semidirect
115. #16837631C22semidirect
116. #16837629C22semidirect
117. #16837628C22semidirect
118. #16837625C22semidirect
119. #16837624C22semidirect
120. #16837621C22semidirect
121. #16837610C22semidirect
122. #16837610C22semidirect
123. #16837606C22semidirect
124. #16837605C22semidirect
125. #16837604C22semidirect
126. #16837600C22semidirect
127. #16837600C22semidirect
128. #16837567C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837564C22semidirect
132. #16837563C22semidirect
133. #16837563C22semidirect
134. #16837563C22semidirect
135. #16837563C22semidirect
136. #16837563C22semidirect
137. #16837562C22semidirect
138. #16837561C22semidirect
139. #16837561C22semidirect
140. #16837561C22semidirect
141. #16837561C22semidirect
142. #16837561C22semidirect
143. #16837559C22semidirect
144. #16837558C22semidirect
145. #16837556C22semidirect
146. #16837555C22semidirect
148. #16837553C22semidirect
149. #16837552C22semidirect
153. #16837551C22semidirect
154. #16837551C22semidirect
155. #16837551C22semidirect
156. #16837551C22semidirect
157. #16837542C22semidirect
158. #16837541C22semidirect
159. #16837539C22semidirect
160. #16837504C22semidirect
161. #16837502C22semidirect
162. #16837500C22semidirect
163. SD16×Dic59C22semidirect
164. SD16×Dic59C22semidirect
165. #16837487C22semidirect
166. #16837487C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837475C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837454C22semidirect
176. #16837408C22semidirect
177. #16837407C22semidirect
178. #16837405C22semidirect
179. #16837405C22semidirect
180. #16837399C22semidirect
181. #16837398C22semidirect
182. #16837397C22semidirect
183. #16837395C22semidirect
184. #16837370C22semidirect
185. #16837368C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C2×#137×C59C22semidirect
189. C22×SD16×C59C22semidirect
190. D4×Q8×C59C22semidirect
192. C59×#497C22semidirect
193. C59×#468C22semidirect
194. C59×#467C22semidirect
195. C59×#464C22semidirect
196. C59×#461C22semidirect
197. C59×#452C22semidirect
198. C59×#451C22semidirect
199. C59×#450C22semidirect
200. C59×#448C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
948. #3266D59semidirect
979. C2×#137C2×D59semidirect
983. C22×SD16C2×D59semidirect
995. D4×Q8C2×D59semidirect
1028. #497C2×D59semidirect
1058. #468C2×D59semidirect
1062. #467C2×D59semidirect
1070. #464C2×D59semidirect
1076. #461C2×D59semidirect
1094. #452C2×D59semidirect
1098. #451C2×D59semidirect
1110. #450C2×D59semidirect
1114. #448C2×D59semidirect
1118. #440C2×D59semidirect
1128. #435C2×D59semidirect
1145. C59#61680semidirect

Maximal subgroups

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

subgroupindex
#214385032
#214378562
#214363222
#214363202
#214361392
#214361372
#214361342
#214361322
#214360082
#214360062
SD16×C22⋊D592
#214357852
#214357362
#214357352
#214356122
#214356072
#214356052
#214351022
#214350512
#214349822
#214349812
#214349742
#214349732
#214341932
#214341032
#214333722
#214333702
#214333692
#214333682
#214331682
C59×#32662
#6168059