Finite Group Databasebeta

← #29466282

Subgroups — #29466282

Order 15104.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437841C211yesmaximal, characteristic, complemented
2#21437724C211yesmaximal, characteristic
3#21436325C211yesmaximal, characteristic, complemented
4#21436316C211yesmaximal, characteristic, complemented
5#21436314C211yesmaximal, characteristic, complemented
6#21436174C211yesmaximal, characteristic, complemented
7#21436172C211yesmaximal, characteristic, complemented
8#21436133C211yesmaximal, characteristic, complemented
9#21436126C211yesmaximal, characteristic, complemented
10#21436124C211yesmaximal, characteristic, complemented
11#21436118C211yesmaximal, characteristic, complemented
12#21436117C211yesmaximal, characteristic, complemented
13#21436112C211yesmaximal, characteristic, complemented
14#21435936C211yesmaximal, characteristic, complemented
15#21435934C211yesmaximal, characteristic, complemented
16#21435919C211yesmaximal, characteristic, complemented
17#21435913C211yesmaximal, characteristic, complemented
18#21434445C211yesmaximal, characteristic, complemented
19#21434049C211yesmaximal, characteristic, complemented
20#21434008C211yesmaximal, characteristic, complemented
21#21433920C211yesmaximal, characteristic, complemented
22#21433733C211yesmaximal, characteristic, complemented
23#21433721C211yesmaximal, characteristic, complemented
24#21433612C211yesmaximal, characteristic, complemented
25#21433368C211yesmaximal, characteristic, complemented
26#450×D59C211yesmaximal, characteristic, complemented
27#21432950C211yesmaximal, characteristic, complemented
28#21432825C211yesmaximal, characteristic, complemented
29#21432621C211yesmaximal, characteristic, complemented
30#418×D59C211yesmaximal, characteristic, complemented
31C59×#3324C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C2×#14273756C2211yescharacteristic, complemented
35C2×SD16×D59C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×#14273735C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838120C2211yescharacteristic, complemented
40#16838113C2211yescharacteristic, complemented
41#16838110C2211yescharacteristic, complemented
42#16838093—21no—
43#16838093C2211yescharacteristic, complemented
44#16838092C2211yescharacteristic, complemented
45#16838091C2211yescharacteristic, complemented
46#16838088—21no—
47#16838086C2211yescharacteristic, complemented
48#16838082—21no—
49#16838077—21no—
50#16838049C2211yescharacteristic
51#16838048C2211yescharacteristic
52#16838047C2211yescharacteristic
53#16838046C2211yescharacteristic
54#16838041—21no—
55#16838039—21no—
56#16838037C2211yescharacteristic
57#16838036C2211yescharacteristic
58D4×C22⋊D59—21no—
59D4×C22⋊D59C2211yescharacteristic
60#16838034—21no—
61#16838029C2211yescharacteristic, complemented
62#16838016—21no—
63#16838009—21no—
64#16837975C2211yescharacteristic, complemented
65#16837968C2211yescharacteristic
66#16837965C2211yescharacteristic
67#16837962—21no—
68#16837960—21no—
69#16837956—21no—
70#16837935—21no—
71#16837912C2211yescharacteristic
72#16837911C2211yescharacteristic
73C22⋊Q8×D59C2211yescharacteristic, complemented
74C2×#14273695—21no—
75#120×D59—21no—
76#16837882C2211yescharacteristic, complemented
77#16837878C2211yescharacteristic, complemented
78#16837874C2211yescharacteristic
79#117×D59C2211yescharacteristic, complemented
80#16837766C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic, complemented
82#16837764C2211yescharacteristic, complemented
83#16837760C2211yescharacteristic, complemented
84#16837757C2211yescharacteristic, complemented
85#16837755C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837743C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837734C2211yescharacteristic, complemented
91#16837728C2211yescharacteristic, complemented
92#16837726C2211yescharacteristic, complemented
93#16837725C2211yescharacteristic, complemented
94#16837723C2211yescharacteristic, complemented
95#16837721C2211yescharacteristic, complemented
96#16837719C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837713C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837703C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837689C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837660C2211yescharacteristic, complemented
109#16837658C2211yescharacteristic, complemented
110#16837649C2211yescharacteristic, complemented
111#16837648C2211yescharacteristic, complemented
112#16837646C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837644C2211yescharacteristic, complemented
115#16837642C2211yescharacteristic, complemented
116#16837634C2211yescharacteristic, complemented
117#16837633C2211yescharacteristic, complemented
118#16837630C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic, 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#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837561C2211yescharacteristic, complemented
133#16837555C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837554C2211yescharacteristic, complemented
136#16837554C2211yescharacteristic, complemented
137#16837553C2211yescharacteristic, complemented
138#16837553C2211yescharacteristic, complemented
139#16837552C2211yescharacteristic, complemented
140#16837551C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837505C2211yescharacteristic, complemented
144#16837502C2211yescharacteristic, complemented
145#16837500C2211yescharacteristic, complemented
146#16837499C2211yescharacteristic, complemented
147C4×#11745660C2211yescharacteristic, complemented
148SD16×Dic59C2211yescharacteristic, complemented
149#16837489C2211yescharacteristic, complemented
150#16837477C2211yescharacteristic, complemented
151#16837474C2211yescharacteristic, complemented
152#16837472C2211yescharacteristic, complemented
153#16837471C2211yescharacteristic, complemented
154#16837471C2211yescharacteristic, complemented
155C8×D236C2211yescharacteristic, complemented
156(C22⋊D59)⋊C8C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837439C2211yescharacteristic, complemented
159#16837437C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837409C2211yescharacteristic, complemented
162#16837408C2211yescharacteristic, complemented
163#16837407C2211yescharacteristic, complemented
164#16837406C2211yescharacteristic, complemented
165#16837405C2211yescharacteristic
166#16837405C2211yescharacteristic
167#16837405C2211yescharacteristic, complemented
168#16837405C2211yescharacteristic, complemented
169#16837405C2211yescharacteristic, complemented
170#16837404C2211yescharacteristic, complemented
171#16837400C2211yescharacteristic, complemented
172#16837400C2211yescharacteristic, complemented
173#16837396C2211yescharacteristic, complemented
174#16837395C2211yescharacteristic, complemented
175#16837395C2211yescharacteristic, complemented
176#16837395C2211yescharacteristic, complemented
177C2×#14273648C2211yescharacteristic, complemented
178#102×D59C2211yescharacteristic
179#102×D59C2211yescharacteristic, complemented
180#102×D59C2211yescharacteristic, complemented
181#102×D59C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186C22⋊C8×D59C2211yescharacteristic, complemented
187#16837356C2211yescharacteristic, complemented
188C59×#556C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic
190C59×#486C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#418C2211yescharacteristic, complemented
203C24×D59—21no—
204#14273772—24no—
205#14273772—42no—
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×#11745687C2311yescharacteristic
210C2×#11745687C2311yescharacteristic
211C2×Q8×D59C2311yescharacteristic
212C22×D236C2311yescharacteristic
213C22×C22⋊D59—21no—
214C22×C22⋊D59—21no—
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C2×D4×D59—24no—
218C2×D4×D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—42no—
224C2×D4×D59C2311yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230#14273756—42no—
231C2×Dic236C2311yescharacteristic, complemented
232C2×#11745672C2311yescharacteristic, complemented
233C2×#11745660C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745670C2311yescharacteristic, complemented
238C2×#11745671C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240SD16×D59—24no—
241SD16×D59—42no—
242#14273735—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic, complemented
247M16×D59—42no—
248C22×C59⋊C8C2311yescharacteristic, complemented
249C2×C8×D59C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic, complemented
254#14273726—21no—
255#14273726C2311yescharacteristic, complemented
256#14273725—21no—
257#14273723—21no—
258#14273723C2311yescharacteristic
259#14273721—21no—
260#14273721—21no—
261#14273720—21no—
262#14273720—21no—
263#14273720—21no—
264#14273720—21no—
265#14273719—21no—
266#14273719C2311yescharacteristic, complemented
267#14273718—21no—
268#14273718C2311yescharacteristic, complemented
269#14273717—21no—
270#14273717—21no—
271#14273717—21no—
272#14273717—21no—
273#14273717—21no—
274#14273715C2311yescharacteristic
275#14273714C2311yescharacteristic
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712D411yescharacteristic
283#14273711—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709D411yescharacteristic
290#14273708—21no—
291#14273708—21no—
292#14273707—21no—
293#14273707C2311yescharacteristic
294#14273707C2311yescharacteristic
295#14273707C2311yescharacteristic, complemented
296#14273706C2311yescharacteristic
297#14273706C2311yescharacteristic
298#14273706C2311yescharacteristic, complemented
299#14273705—21no—
300#14273705—21no—
301#14273705D411yescharacteristic
302#14273704—21no—
303#14273704—21no—
304#14273704D411yescharacteristic
305#14273703—21no—
306#14273703—21no—
307#14273703—21no—
308#14273703C2311yescharacteristic
309#14273703C2311yescharacteristic, complemented
310#14273702C2311yescharacteristic
311#14273701—21no—
312#14273701C2311yescharacteristic
313#14273700—21no—
314#14273700—21no—
315#14273700D411yescharacteristic
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699D411yescharacteristic
321#14273698—21no—
322#14273698—21no—
323#14273698C2311yescharacteristic
324#14273698C2311yescharacteristic
325#14273697—21no—
326#14273697—21no—
327#14273697—21no—
328#14273697D411yescharacteristic
329#14273696—21no—
330#14273696—21no—
331#14273695—21no—
332#14273695—21no—
333#14273695—21no—
334#14273695—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695D411yescharacteristic
342Q8×Dic59C2311yescharacteristic, complemented
343C4×Dic118—21no—
344C4×Dic118—21no—
345C4×Dic118—21no—
346C4×Dic118C2311yescharacteristic, complemented
347#14273692—21no—
348#14273692C2311yescharacteristic, complemented
349C4×D236—21no—
350C4×D236C2311yescharacteristic
351C4×D236C2311yescharacteristic
352D4×Dic59—21no—
353D4×Dic59C2311yescharacteristic
354#14273689—21no—
355#14273689C2311yescharacteristic
356C4×C22⋊D59—21no—
357C4×C22⋊D59C2311yescharacteristic
358C4×C22⋊D59C2311yescharacteristic
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364#14273686C2311yescharacteristic
365#14273685—21no—
366#14273685—21no—
367#14273685C2311yescharacteristic
368#14273685C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic, complemented
371#14273684—21no—
372#14273684—21no—
373#14273684—21no—
374#14273684—21no—
375#14273684C2311yescharacteristic
376#14273683—21no—
377#14273683—21no—
378C2×C4⋊Dic59C2311yescharacteristic, complemented
379C4⋊C4×D59—21no—
380C4⋊C4×D59C2311yescharacteristic
381C4⋊C4×D59C2311yescharacteristic
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic, complemented
384C2×C22⋊Dic59—21no—
385C2×(C2×D59)⋊C4—21no—
386C2×(C2×D59)⋊C4—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C42×D59—21no—
393#14273661C2311yescharacteristic, complemented
394#14273660C2311yescharacteristic, complemented
395#14273660C2311yescharacteristic, complemented
396#14273660C2311yescharacteristic, complemented
397#14273659C2311yescharacteristic, complemented
398#14273659C2311yescharacteristic, complemented
399#14273658C2311yescharacteristic, complemented
400#14273658C2311yescharacteristic, complemented
401#14273658C2311yescharacteristic, complemented
402C4⋊(C59⋊C8)C2311yescharacteristic, complemented
403Dic59⋊C8C2311yescharacteristic, complemented
404Dic59⋊C8C2311yescharacteristic, complemented
405#14273652C2311yescharacteristic, complemented
406#14273652C2311yescharacteristic, complemented
407#14273652C2311yescharacteristic, complemented
408#14273652C2311yescharacteristic, complemented
409#14273651C2311yescharacteristic, complemented
410#14273650C2311yescharacteristic, complemented
411#14273650C2311yescharacteristic, complemented
412#14273650C2311yescharacteristic, complemented
413#14273650C2311yescharacteristic, complemented
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic, complemented
427#14273648C2311yescharacteristic, complemented
428#14273648C2311yescharacteristic, complemented
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic, complemented
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic, complemented
440(C2×D59)⋊C8C2311yescharacteristic, complemented
441#14273638C2311yescharacteristic, complemented
442#14273637C2311yescharacteristic, complemented
443C8×Dic59C2311yescharacteristic, complemented
444C22×D4×C59—21no—
445C22×D4×C59C2311yescharacteristic
446C22×D4×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic, complemented
450C2×M16×C59C2311yescharacteristic
451C2×M16×C59C2311yescharacteristic, complemented
452C4⋊Q8×C59C2311yescharacteristic, complemented
453#127×C59C2311yescharacteristic
454#126×C59—21no—
455#126×C59—21no—
456#124×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458C22⋊Q8×C59C2311yescharacteristic, complemented
459#121×C59—21no—
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#120×C59—21no—
463#120×C59—21no—
464C4×Q8×C59—21no—
465C4×Q8×C59C2311yescharacteristic, complemented
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59C2311yescharacteristic
469#117×C59C2311yescharacteristic, complemented
470#107×C59C2311yescharacteristic, complemented
471#107×C59C2311yescharacteristic, complemented
472#106×C59C2311yescharacteristic, complemented
473C4⋊C8×C59C2311yescharacteristic, complemented
474#103×C59C2311yescharacteristic, complemented
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic, complemented
482#102×C59C2311yescharacteristic, complemented
483#102×C59C2311yescharacteristic, complemented
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic, complemented
486C4×C8×C59C2311yescharacteristic, complemented
487C24×C59—21no—
488C24×C59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—44no—
496C23×D59—82no—
497C23×D59—82no—
498C23×D59C2×D411yescharacteristic
499C2×Q8×C59—21no—
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—22no—
502C2×D4×C59—22no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—41no—
510C2×D4×C59—41no—
511C2×D4×C59—82no—
512C2×D4×C59C2×D411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C2×D4×C59C2411yescharacteristic
516C22×C4×C59—21no—
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—44no—
533C2×C22⋊D59—44no—
534C2×C22⋊D59—44no—
535C2×C22⋊D59—82no—
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—
543C22×Dic59—21no—
544C22×Dic59C2×D411yescharacteristic
545Q8×D59—22no—
546Q8×D59—22no—
547#11745687—22no—
548#11745687—22no—
549#11745687—22no—
550#11745687—41no—
551#11745687—44no—
552D4×D59—22no—
553D4×D59—22no—
554D4×D59—22no—
555D4×D59—22no—
556D4×D59—22no—
557D4×D59—22no—
558D4×D59—41no—
559D4×D59—41no—
560D4×D59—41no—
561D4×D59—44no—
562D4×D59—44no—
563D4×D59—44no—
564D4×D59—82no—
565D4×D59—82no—
566D4×D59#4114yes—
567#11745685—22no—
568#11745685—22no—
569#11745685—22no—
570#11745685—41no—
571C2×D236—22no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—41no—
575C2×D236C2×D411yescharacteristic
576C2×D236C2×D411yescharacteristic
577C2×D236C2411yescharacteristic
578C2×D236C2411yescharacteristic
579C2×C4×D59—22no—
580C2×C4×D59—22no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59C2×D411yescharacteristic
590C2×C4×D59C2×D411yescharacteristic
591C2×C4×D59C2411yescharacteristic
592C2×C4×D59C2411yescharacteristic
593C2×C4×D59C2411yescharacteristic
594C2×Dic118—21no—
595C2×Dic118—21no—
596C2×Dic118C2×D411yescharacteristic
597C2×Dic118C2411yescharacteristic
598C2×Dic118C2411yescharacteristic
599SD16×C59—22no—
600SD16×C59—41no—
601SD16×C59—41no—
602M16×C59—41no—
603M16×C59—41no—
604C2×C8×C59C2411yescharacteristic
605C2×C8×C59C2411yescharacteristic
606C2×C8×C59C2411yescharacteristic
607C2×C8×C59C2411yescharacteristic
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59C2×D411yescharacteristic
613C4⋊C4×C59C2411yescharacteristic
614C4⋊C4×C59C2411yescharacteristic
615C4⋊C4×C59C2411yescharacteristic
616C4⋊C4×C59C2411yescharacteristic
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59C2×D411yescharacteristic
625C22⋊C4×C59C2×D411yescharacteristic
626C42×C59—21no—
627C42×C59—21no—
628C42×C59—21no—
629C42×C59C2411yescharacteristic
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59C2×D411yescharacteristic
640C22⋊Dic59C2×D411yescharacteristic
641#11745672—41no—
642#11745671—22no—
643#11745671—41no—
644#11745670—22no—
645#11745670—41no—
646#11745670—41no—
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)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4C2×D411yescharacteristic
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668C4⋊Dic59—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59—21no—
671C4⋊Dic59—21no—
672C4⋊Dic59—21no—
673C4⋊Dic59—21no—
674C4⋊Dic59C2×D411yescharacteristic
675C4⋊Dic59C2411yescharacteristic
676C4⋊Dic59C2411yescharacteristic
677C4⋊Dic59C2411yescharacteristic
678C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4C2×D411yescharacteristic
695Dic59⋊C4C2×D411yescharacteristic
696Dic59⋊C4C2×D411yescharacteristic
697Dic59⋊C4C2×D411yescharacteristic
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59—21no—
704C4×Dic59—21no—
705C4×Dic59—21no—
706C4×Dic59C2411yescharacteristic
707#11745664—41no—
708C2×C59⋊C8—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713Dic236—41no—
714#11745660—22no—
715#11745660—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—41no—
719C8×D59—22no—
720C8×D59—22no—
721C8×D59—41no—
722C8×D59—41no—
723C8×D59—41no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—21no—
727C23×C59—42no—
728C23×C59—42no—
729C23×C59—42no—
730C23×C59—81no—
731C23×C59—81no—
732C23×C59—81no—
733C23×C59C22×D411yescharacteristic
734C23×C59C22×D411yescharacteristic
735C22×D59—21no—
736C22×D59—22no—
737C22×D59—22no—
738C22×D59—24no—
739C22×D59—21no—
740C22×D59—41no—
741C22×D59—42no—
742C22×D59—42no—
743C22×D59—42no—
744C22×D59—42no—
745C22×D59—42no—
746C22×D59—42no—
747C22×D59—42no—
748C22×D59—42no—
749C22×D59—81no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—816no—
759C22×D59C22×D411yescharacteristic
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762Q8×C59—21no—
763Q8×C59—21no—
764Q8×C59—81no—
765D4×C59—21no—
766D4×C59—21no—
767D4×C59—21no—
768D4×C59—21no—
769D4×C59—21no—
770D4×C59—41no—
771D4×C59—42no—
772D4×C59—42no—
773D4×C59—42no—
774D4×C59—81no—
775D4×C59—81no—
776D4×C59—81no—
777D4×C59C2×#4112yes—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
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—81no—
788C2×C4×C59C22×D411yescharacteristic
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C2511yescharacteristic
793C22⋊D59—22no—
794C22⋊D59—22no—
795C22⋊D59—22no—
796C22⋊D59—24no—
797C22⋊D59—41no—
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—81no—
807C22⋊D59—81no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C2×Dic59—22no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—42no—
818C2×Dic59—42no—
819C2×Dic59—81no—
820C2×Dic59—81no—
821C2×Dic59C22×D411yescharacteristic
822C2×Dic59C22×D411yescharacteristic
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826D236—22no—
827D236—22no—
828D236—21no—
829D236—21no—
830D236—21no—
831D236—42no—
832D236—81no—
833D236C2×#4112yes—
834C4×D59—22no—
835C4×D59—21no—
836C4×D59—21no—
837C4×D59—21no—
838C4×D59—21no—
839C4×D59—22no—
840C4×D59—42no—
841C4×D59—42no—
842C4×D59—42no—
843C4×D59—81no—
844C4×D59—81no—
845C4×D59—81no—
846C4×D59—81no—
847C4×D59—81no—
848C4×D59C2×#4112yes—
849C4×D59H(5,𝔽2)12yes—
850Dic118—22no—
851Dic118—21no—
852Dic118—21no—
853Dic118—21no—
854Dic118—21no—
855Dic118—42no—
856Dic118—81no—
857C8×C59—21no—
858C8×C59—21no—
859C8×C59—21no—
860C8×C59—21no—
861C59⋊C8—21no—
862C59⋊C8—21no—
863C59⋊C8—21no—
864C59⋊C8—21no—
865#61184—591nomaximal, Sylow
866C22×C59—21no—
867C22×C59—21no—
868C22×C59—21no—
869C22×C59—22no—
870C22×C59—21no—
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—41no—
874C22×C59—41no—
875C22×C59—41no—
876C22×C59—41no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—84no—
882C22×C59—162no—
883C22×C59C23×D411yescharacteristic
884C2×D59—21no—
885C2×D59—21no—
886C2×D59—21no—
887C2×D59—21no—
888C2×D59—21no—
889C2×D59—21no—
890C2×D59—22no—
891C2×D59—21no—
892C2×D59—44no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—84no—
899C2×D59—84no—
900C2×D59—84no—
901C2×D59—84no—
902C2×D59—84no—
903C2×D59—162no—
904C2×D59#54612yes—
905C2×D59#57712yes—
906C4×C59—21no—
907C4×C59—21no—
908C4×C59—21no—
909C4×C59—21no—
910C4×C59—41no—
911C4×C59—41no—
912C4×C59—41no—
913C4×C59—41no—
914C4×C59—41no—
915C4×C59C22×#4111yescharacteristic
916C4×C59C2×H(5,𝔽2)11yescharacteristic
917Dic59—21no—
918Dic59—21no—
919Dic59—21no—
920Dic59—21no—
921Dic59—41no—
922Dic59—41no—
923Dic59—41no—
924Dic59—41no—
925Dic59—41no—
926Dic59—41no—
927Dic59#54612yes—
928#3495—591no—
929#3484—591no—
930#3324—591no—
931#3324D5911yescharacteristic, complemented
932#3323—591no—
933#3323—591no—
934#3314—591no—
935#3314—591no—
936#3311—591no—
937#3311—591no—
938#3310—591no—
939#3310—591no—
940#3310—591no—
941#3310—591no—
942#3296—591no—
943#3296—591no—
944#3295—591no—
945#3295—591no—
946#3136—591no—
947#3096—591no—
948#3091—591no—
949#3081—591no—
950#3057—591no—
951#3056—591no—
952#3043—591no—
953#3009—591no—
954C2×#450—591no—
955#2949—591no—
956#2933—591no—
957#2897—591no—
958C2×#418—591no—
959C2×C59—41no—
960C2×C59—42no—
961C2×C59—41no—
962C2×C59—81no—
963C2×C59—81no—
964C2×C59C2×#54611yescharacteristic
965C2×C59C2×#57711yescharacteristic
966C2×C59#358511yescharacteristic
967D59—22no—
968D59—22no—
969D59—41no—
970D59—42no—
971D59—81no—
972C2×H(5,𝔽2)—591no—
973C23×D4—591no—
974C2×#137—591no—
975C22×SD16—591no—
976C22×SD16—591no—
977C2×#131—591no—
978C22×M16—591no—
979#556—591no—
980#556C2×D5911yescharacteristic, complemented
981#554—591no—
982#554—591no—
983#552—591no—
984#552—591no—
985#552—591no—
986#552—591no—
987#552—1181no—
988#552—1181no—
989#551—1181no—
990#551—1181no—
991#546—591no—
992#546—591no—
993#546—591no—
994#546—591no—
995#546—1181no—
996#546—1181no—
997D42—591no—
998D42—591no—
999D42—591no—
1000D42—1181no—
1001D42—1181no—
1002D42C2×D5911yescharacteristic
1003#544—591no—
1004#542—1181no—
1005#541—1181no—
1006#536—591no—
1007#535—591no—
1008#535—591no—
1009#534—1181no—
1010#534—1181no—
1011#533—1181no—
1012#529—1181no—
1013#525—591no—
1014#525—591no—
1015C2×C22⋊Q8—591no—
1016C2×#120—1181no—
1017C2×#120—1181no—
1018#520—591no—
1019#519—591no—
1020#518—591no—
1021C2×#117—591no—
1022#490—591no—
1023#490—591no—
1024#489—591no—
1025#489—591no—
1026#488—591no—
1027#488—591no—
1028#486—591no—
1029#486C2×D5911yescharacteristic, complemented
1030#485—591no—
1031#485—591no—
1032#484—591no—
1033#483—591no—
1034#482—591no—
1035#482—591no—
1036#482—591no—
1037#482—591no—
1038#482C2×D5911yescharacteristic, complemented
1039#482C2×D5911yescharacteristic, complemented
1040#481—591no—
1041#481—591no—
1042#481—591no—
1043#480—591no—
1044#480—591no—
1045#480—591no—
1046#478—591no—
1047#478—591no—
1048#478—591no—
1049#478—591no—
1050#476—591no—
1051#476—591no—
1052#474—591no—
1053#474C2×D5911yescharacteristic, complemented
1054#470—591no—
1055#470—591no—
1056#468—591no—
1057#468—591no—
1058#468—591no—
1059#468—591no—
1060#468C2×D5911yescharacteristic, complemented
1061#468C2×D5911yescharacteristic, complemented
1062#467—591no—
1063#467—591no—
1064#465—591no—
1065#465—591no—
1066#465—591no—
1067#465—591no—
1068#465—591no—
1069#465—591no—
1070#464—591no—
1071#464—591no—
1072#464—591no—
1073#464—591no—
1074#460—591no—
1075#460—591no—
1076#460—591no—
1077#460C2×D5911yescharacteristic, complemented
1078#452—591no—
1079#452—591no—
1080#452—591no—
1081#452—591no—
1082#450—591no—
1083#450—591no—
1084#450—591no—
1085#450—591no—
1086#450—591no—
1087#450—591no—
1088#450—591no—
1089#450—591no—
1090#450—591no—
1091#450—591no—
1092#450C2×D5911yescharacteristic, complemented
1093#450C2×D5911yescharacteristic, complemented
1094#440—591no—
1095#440—591no—
1096#440—591no—
1097#440—591no—
1098C4×SD16—591no—
1099C4×SD16—591no—
1100C4×SD16—591no—
1101C4×SD16C2×D5911yescharacteristic, complemented
1102#436—591no—
1103#436C2×D5911yescharacteristic, complemented
1104#435—591no—
1105#435—591no—
1106#435—591no—
1107#435—591no—
1108C8×D4—591no—
1109C8×D4—591no—
1110#428—591no—
1111#427—591no—
1112#427—591no—
1113#424—591no—
1114#419—591no—
1115#418—591no—
1116#418—591no—
1117#418—591no—
1118#418—591no—
1119#418—591no—
1120#418—591no—
1121#418—591no—
1122#418—591no—
1123#418C2×D5911yescharacteristic, complemented
1124#418C2×D5911yescharacteristic, complemented
1125#417—591no—
1126#417—591no—
1127#417—591no—
1128#416—591no—
1129#416—591no—
1130#416—591no—
1131#416—591no—
1132C2×#102—591no—
1133C2×#102—591no—
1134C2×#102—591no—
1135C2×#102—591no—
1136C2×#102—591no—
1137C2×#102—591no—
1138C2×#102—591no—
1139C2×#102—591no—
1140#408—591no—
1141C2×C22⋊C8—591no—
1142#405—591no—
1143C59#6118411yescharacteristic, complemented, Sylow
1144C25—1181no—
1145H(5,𝔽2)—1184no—
1146H(5,𝔽2)—2362no—
1147C2×#41—591no—
1148C2×#41—591no—
1149C2×#41—591no—
1150C2×#41—591no—
1151C2×#41—1181no—
1152C22×Q8—591no—
1153C22×D4—21no—
1154C22×D4—591no—
1155C22×D4—591no—
1156C22×D4—591no—
1157C22×D4—591no—
1158C22×D4—591no—
1159C22×D4—591no—
1160C22×D4—1181no—
1161C22×D4—1181no—
1162C22×D4—1181no—
1163C22×D4—1184no—
1164C22×D4—1181no—
1165C22×D4—1181no—
1166C22×D4—1181no—
1167C22×D4—1181no—
1168C22×D4—1181no—
1169C22×D4—1181no—
1170C22×D4—2362no—
1171C22×D4C22×D5911yescharacteristic
1172C22×D4C22×D5911yescharacteristic
1173C23×C4—591no—
1174#137—2362no—
1175C2×Q16—591no—
1176C2×Q16—591no—
1177C2×SD16—591no—
1178C2×SD16—591no—
1179C2×SD16—591no—
1180C2×SD16—591no—
1181C2×SD16—591no—
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16—1184no—
1185C2×SD16—2362no—
1186C2×SD16C22×D5911yescharacteristic
1187C2×SD16C22×D5911yescharacteristic
1188C2×SD16C22×D5911yescharacteristic, complemented
1189#131—2362no—
1190C2×M16—591no—
1191C2×M16—591no—
1192C2×M16—591no—
1193C2×M16—591no—
1194C2×M16—2362no—
1195C2×M16C22×D5911yescharacteristic
1196C2×M16C22×D5911yescharacteristic, complemented
1197C22×C8—591no—
1198C22×C8—591no—
1199C22×C8—591no—
1200C22×C8—591no—
1201C22×C8—591no—
1202C22×C8—591no—
1203C4⋊Q8—591no—
1204C4⋊Q8—1181no—
1205C4⋊Q8—1181no—
1206C4⋊Q8C22×D5911yescharacteristic, complemented
1207#127—591no—
1208#127—1181no—
1209#127C22×D5911yescharacteristic
1210#126—21no—
1211#126—21no—
1212#126—1181no—
1213#126—1181no—
1214#126—1181no—
1215#126—1181no—
1216#126—1181no—
1217#126—1181no—
1218#125—591no—
1219#125—591no—
1220#125—1181no—
1221#125—1181no—
1222#125—1181no—
1223#125—1181no—
1224#125—1181no—
1225#125—1181no—
1226#125—1181no—
1227#124—21no—
1228#124—591no—
1229#124—591no—
1230#124—1181no—
1231#124—1181no—
1232#124—1181no—
1233#123—591no—
1234#123—591no—
1235#123—1181no—
1236#123—1181no—
1237#123—1181no—
1238#123—1181no—
1239#123—1181no—
1240#123—1181no—
1241#123—1181no—
1242#123—1181no—
1243#123—1181no—
1244#123—1181no—
1245#123—1181no—
1246C22⋊Q8—591no—
1247C22⋊Q8—591no—
1248C22⋊Q8—591no—
1249C22⋊Q8—591no—
1250C22⋊Q8—591no—
1251C22⋊Q8—591no—
1252C22⋊Q8—591no—
1253C22⋊Q8—591no—
1254C22⋊Q8—591no—
1255C22⋊Q8—591no—
1256C22⋊Q8—1181no—
1257C22⋊Q8—1181no—
1258C22⋊Q8—1181no—
1259C22⋊Q8—1181no—
1260C22⋊Q8—1181no—
1261C22⋊Q8—1181no—
1262C22⋊Q8—1181no—
1263C22⋊Q8—1181no—
1264C22⋊Q8C22×D5911yescharacteristic
1265C22⋊Q8C22×D5911yescharacteristic, complemented
1266#121—21no—
1267#121—591no—
1268#121—591no—
1269#121—591no—
1270#121—591no—
1271#121—591no—
1272#121—591no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121C22×D5911yescharacteristic
1283#121C22×D5911yescharacteristic
1284#120—21no—
1285#120—21no—
1286#120—591no—
1287#120—591no—
1288#120—1181no—
1289#120—1181no—
1290#120—1181no—
1291#120—1181no—
1292#120—1181no—
1293#120—1181no—
1294#120—1181no—
1295#120—1181no—
1296#120—1181no—
1297#120—1181no—
1298#120—1181no—
1299#120—1181no—
1300#120—1181no—
1301#120—1181no—
1302#120—1181no—
1303C4×Q8—21no—
1304C4×Q8—591no—
1305C4×Q8—591no—
1306C4×Q8—591no—
1307C4×Q8—1181no—
1308C4×Q8—1181no—
1309C4×Q8—1181no—
1310C4×Q8—1181no—
1311C4×Q8C22×D5911yescharacteristic, complemented
1312C4×D4—591no—
1313C4×D4—591no—
1314C4×D4—591no—
1315C4×D4—591no—
1316C4×D4—591no—
1317C4×D4—591no—
1318C4×D4—1181no—
1319C4×D4—1181no—
1320C4×D4—1181no—
1321C4×D4—1181no—
1322C4×D4—1181no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4C22×D5911yescharacteristic
1328C4×D4C22×D5911yescharacteristic
1329#117—591no—
1330#117—591no—
1331#117—591no—
1332#117—591no—
1333#117—591no—
1334#117—591no—
1335#117—1181no—
1336#117—1181no—
1337#117—1181no—
1338#117—1181no—
1339#117—1181no—
1340#117—1181no—
1341#117—1181no—
1342#117—1181no—
1343#117C22×D5911yescharacteristic
1344#117C22×D5911yescharacteristic, complemented
1345C2×C4⋊C4—591no—
1346C2×C4⋊C4—591no—
1347C2×C4⋊C4—591no—
1348C2×C4⋊C4—591no—
1349C2×C4⋊C4—591no—
1350C2×C4⋊C4—1181no—
1351C2×C22⋊C4—1181no—
1352C2×C22⋊C4—1181no—
1353C2×C22⋊C4—1181no—
1354C2×C22⋊C4—1181no—
1355C2×C22⋊C4—1181no—
1356C2×C22⋊C4—1181no—
1357C2×C22⋊C4—1181no—
1358C2×C22⋊C4—1181no—
1359C2×C42—1181no—
1360#107—591no—
1361#107—591no—
1362#107—591no—
1363#107—591no—
1364#107C22×D5911yescharacteristic, complemented
1365#107C22×D5911yescharacteristic, complemented
1366#106—591no—
1367#106—591no—
1368#106—591no—
1369#106—591no—
1370#106—591no—
1371#106C22×D5911yescharacteristic, complemented
1372C4⋊C8—591no—
1373C4⋊C8—591no—
1374C4⋊C8—591no—
1375C4⋊C8C22×D5911yescharacteristic, complemented
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103—591no—
1381#103—591no—
1382#103—591no—
1383#103—591no—
1384#103—591no—
1385#103C22×D5911yescharacteristic, complemented
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102C22×D5911yescharacteristic
1408#102C22×D5911yescharacteristic
1409#102C22×D5911yescharacteristic
1410#102C22×D5911yescharacteristic
1411#102C22×D5911yescharacteristic
1412#102C22×D5911yescharacteristic
1413#102C22×D5911yescharacteristic, complemented
1414#102C22×D5911yescharacteristic, complemented
1415#102C22×D5911yescharacteristic, complemented
1416C22⋊C8—591no—
1417C22⋊C8—591no—
1418C22⋊C8—591no—
1419C22⋊C8—591no—
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8C22×D5911yescharacteristic
1423C22⋊C8C22×D5911yescharacteristic, complemented
1424#97—591no—
1425#97—591no—
1426C4×C8—591no—
1427C4×C8C22×D5911yescharacteristic, complemented
1428C24—21no—
1429C24—21no—
1430C24—591no—
1431C24—1181no—
1432C24—1181no—
1433C24—1181no—
1434C24—1181no—
1435C24—1181no—
1436C24—1181no—
1437C24—4722no—
1438C24—4722no—
1439C24—2364no—
1440#41—1182no—
1441#41—1182no—
1442#41—1182no—
1443#41—1182no—
1444#41—1182no—
1445#41—1182no—
1446#41—2361no—
1447#41—2361no—
1448#41—2364no—
1449C2×Q8—21no—
1450C2×Q8—591no—
1451C2×Q8—591no—
1452C2×Q8—591no—
1453C2×Q8—1181no—
1454C2×Q8—1181no—
1455C2×Q8—1182no—
1456C2×Q8—1182no—
1457C2×Q8C23×D5911yescharacteristic
1458C2×D4—22no—
1459C2×D4—22no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—21no—
1466C2×D4—41no—
1467C2×D4—41no—
1468C2×D4—82no—
1469C2×D4—594no—
1470C2×D4—591no—
1471C2×D4—591no—
1472C2×D4—591no—
1473C2×D4—591no—
1474C2×D4—591no—
1475C2×D4—591no—
1476C2×D4—591no—
1477C2×D4—591no—
1478C2×D4—1182no—
1479C2×D4—1181no—
1480C2×D4—1182no—
1481C2×D4—1182no—
1482C2×D4—1182no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1182no—
1491C2×D4—1182no—
1492C2×D4—1182no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—4722no—
1501C2×D4—4722no—
1502C2×D4—4722no—
1503C2×D4—2361no—
1504C2×D4—2361no—
1505C2×D4—2361no—
1506C2×D4—2361no—
1507C2×D4—2364no—
1508C2×D4—2364no—
1509C2×D4—2364no—
1510C2×D4—2364no—
1511C2×D4—2364no—
1512C2×D4—2364no—
1513C2×D4D4×D5911yescharacteristic
1514C2×D4C23×D5911yescharacteristic
1515C2×D4C23×D5911yescharacteristic
1516C2×D4C23×D5911yescharacteristic
1517C22×C4—21no—
1518C22×C4—591no—
1519C22×C4—591no—
1520C22×C4—591no—
1521C22×C4—591no—
1522C22×C4—591no—
1523C22×C4—591no—
1524C22×C4—1182no—
1525C22×C4—1182no—
1526C22×C4—1181no—
1527C22×C4—1181no—
1528C22×C4—1181no—
1529C22×C4—1181no—
1530C22×C4—1181no—
1531C22×C4—1181no—
1532C22×C4—1181no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4C23×D5911yescharacteristic
1539C22×C4C23×D5911yescharacteristic
1540Q16—2361no—
1541Q16—2361no—
1542SD16—22no—
1543SD16—41no—
1544SD16—41no—
1545SD16—1182no—
1546SD16—1182no—
1547SD16—1182no—
1548SD16—2361no—
1549SD16—2361no—
1550SD16—2361no—
1551SD16—2361no—
1552M16—41no—
1553M16—41no—
1554M16—1182no—
1555M16—1182no—
1556M16—2361no—
1557M16—2361no—
1558C2×C8—591no—
1559C2×C8—591no—
1560C2×C8—591no—
1561C2×C8—591no—
1562C2×C8—1182no—
1563C2×C8—1182no—
1564C2×C8—2361no—
1565C2×C8—2361no—
1566C2×C8—2361no—
1567C2×C8—2361no—
1568C2×C8C23×D5911yescharacteristic
1569C2×C8C23×D5911yescharacteristic
1570C2×C8C23×D5911yescharacteristic
1571C2×C8C23×D5911yescharacteristic
1572C4⋊C4—21no—
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—591no—
1577C4⋊C4—591no—
1578C4⋊C4—591no—
1579C4⋊C4—591no—
1580C4⋊C4—591no—
1581C4⋊C4—591no—
1582C4⋊C4—591no—
1583C4⋊C4—591no—
1584C4⋊C4—591no—
1585C4⋊C4—1181no—
1586C4⋊C4—1181no—
1587C4⋊C4—1181no—
1588C4⋊C4—1181no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4—1181no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4—1181no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4D4×D5911yescharacteristic
1607C4⋊C4C23×D5911yescharacteristic
1608C4⋊C4C23×D5911yescharacteristic
1609C4⋊C4C23×D5911yescharacteristic
1610C4⋊C4C23×D5911yescharacteristic
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—591no—
1619C22⋊C4—591no—
1620C22⋊C4—591no—
1621C22⋊C4—591no—
1622C22⋊C4—591no—
1623C22⋊C4—591no—
1624C22⋊C4—591no—
1625C22⋊C4—591no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1651C22⋊C4D4×D5911yescharacteristic
1652C42—21no—
1653C42—21no—
1654C42—21no—
1655C42—591no—
1656C42—1181no—
1657C42—1181no—
1658C42—1181no—
1659C42—1181no—
1660C42—1181no—
1661C42—1181no—
1662C42—1181no—
1663C42—1181no—
1664C42C23×D5911yescharacteristic
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—42no—
1669C23—42no—
1670C23—42no—
1671C23—81no—
1672C23—81no—
1673C23—81no—
1674C23—591no—
1675C23—591no—
1676C23—591no—
1677C23—1184no—
1678C23—1182no—
1679C23—1182no—
1680C23—1181no—
1681C23—1181no—
1682C23—4721no—
1683C23—4721no—
1684C23—4721no—
1685C23—4721no—
1686C23—4721no—
1687C23—4721no—
1688C23—4721no—
1689C23—4721no—
1690C23—4721no—
1691C23—47216no—
1692C23—2361no—
1693C23—2362no—
1694C23—2362no—
1695C23—2362no—
1696C23—2362no—
1697C23—2362no—
1698C23—2362no—
1699C23—2362no—
1700C23—2362no—
1701C23C2×D4×D5911yescharacteristic
1702C23C2×D4×D5911yescharacteristic
1703Q8—21no—
1704Q8—21no—
1705Q8—81no—
1706Q8—1182no—
1707Q8—1181no—
1708Q8—1181no—
1709Q8—1181no—
1710Q8—1181no—
1711Q8—4721no—
1712Q8—2362no—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—21no—
1717D4—21no—
1718D4—41no—
1719D4—42no—
1720D4—42no—
1721D4—42no—
1722D4—81no—
1723D4—81no—
1724D4—81no—
1725D4—592no—
1726D4—1182no—
1727D4—1182no—
1728D4—1184no—
1729D4—1182no—
1730D4—1182no—
1731D4—1182no—
1732D4—1181no—
1733D4—1181no—
1734D4—1181no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—4721no—
1740D4—2362no—
1741D4—2362no—
1742D4—2361no—
1743D4—2362no—
1744D4—2362no—
1745D4—2362no—
1746D4—2362no—
1747D4—2362no—
1748D4—2362no—
1749D4—2362no—
1750D4#41×D5912yes—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—81no—
1761C2×C4—591no—
1762C2×C4—592no—
1763C2×C4—592no—
1764C2×C4—591no—
1765C2×C4—591no—
1766C2×C4—591no—
1767C2×C4—591no—
1768C2×C4—1182no—
1769C2×C4—1182no—
1770C2×C4—1182no—
1771C2×C4—1181no—
1772C2×C4—1181no—
1773C2×C4—1181no—
1774C2×C4—1181no—
1775C2×C4—1181no—
1776C2×C4—1181no—
1777C2×C4—1181no—
1778C2×C4—1181no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—4721no—
1782C2×C4—4721no—
1783C2×C4—4721no—
1784C2×C4—4721no—
1785C2×C4—4721no—
1786C2×C4—4721no—
1787C2×C4—4721no—
1788C2×C4—2362no—
1789C2×C4—2362no—
1790C2×C4—2362no—
1791C2×C4—2362no—
1792C2×C4—2362no—
1793C2×C4C2×D4×D5911yescharacteristic
1794C2×C4C2×D4×D5911yescharacteristic
1795C2×C4C2×D4×D5911yescharacteristic
1796C2×C4C2×D4×D5911yescharacteristic
1797C2×C4C24×D5911yescharacteristic
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C8—21no—
1802C8—1181no—
1803C8—1181no—
1804C8—1181no—
1805C8—1181no—
1806C22—21no—
1807C22—21no—
1808C22—22no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—84no—
1822C22—162no—
1823C22—592no—
1824C22—592no—
1825C22—1181no—
1826C22—1181no—
1827C22—1181no—
1828C22—1181no—
1829C22—1181no—
1830C22—1182no—
1831C22—1181no—
1832C22—1181no—
1833C22—9442no—
1834C22—4724no—
1835C22—4724no—
1836C22—4724no—
1837C22—4724no—
1838C22—4724no—
1839C22—2364no—
1840C22—2361no—
1841C22—2361no—
1842C22—2361no—
1843C22—2361no—
1844C22—2361no—
1845C22C22×D4×D5911yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—21no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—592no—
1856C4—1181no—
1857C4—1181no—
1858C4—1181no—
1859C4—1181no—
1860C4—2361no—
1861C4—2361no—
1862C4—2361no—
1863C4—2361no—
1864C4—2361no—
1865C4—2361no—
1866C4C2×#41×D5911yescharacteristic
1867C4H(5,𝔽2)×D5911yescharacteristic
1868C2—41no—
1869C2—41no—
1870C2—42no—
1871C2—81no—
1872C2—81no—
1873C2—1182no—
1874C2—1182no—
1875C2—4721no—
1876C2—2361no—
1877C2—2362no—
1878C2#546×D5911yescharacteristic
1879C2#577×D5911yescharacteristic
1880C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3324C2
socleC22×C59C23×D4
prime radical#21437724C2
hypercenter#3324D59
hypocenterC59#61184
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3324

Complements

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

NH ≅ G/Ntype
1. #21437841C2semidirect
3. #21436325C2semidirect
4. #21436316C2semidirect
5. #21436314C2semidirect
6. #21436174C2semidirect
7. #21436172C2semidirect
8. #21436133C2semidirect
9. #21436126C2semidirect
10. #21436124C2semidirect
11. #21436118C2semidirect
12. #21436117C2semidirect
13. #21436112C2semidirect
14. #21435936C2semidirect
15. #21435934C2semidirect
16. #21435919C2semidirect
17. #21435913C2semidirect
18. #21434445C2semidirect
19. #21434049C2semidirect
20. #21434008C2semidirect
21. #21433920C2semidirect
22. #21433733C2semidirect
23. #21433721C2semidirect
24. #21433612C2semidirect
25. #21433368C2semidirect
26. #450×D59C2semidirect
27. #21432950C2semidirect
28. #21432825C2semidirect
29. #21432621C2semidirect
30. #418×D59C2semidirect
31. C59×#3324C2semidirect
34. C2×#14273756C22semidirect
36. C2×SD16×D59C22semidirect
37. C2×#14273735C22semidirect
38. C2×M16×D59C22semidirect
39. #16838120C22semidirect
40. #16838113C22semidirect
41. #16838110C22semidirect
43. #16838093C22semidirect
44. #16838092C22semidirect
45. #16838091C22semidirect
47. #16838086C22semidirect
61. #16838029C22semidirect
64. #16837975C22semidirect
73. C22⋊Q8×D59C22semidirect
76. #16837882C22semidirect
77. #16837878C22semidirect
79. #117×D59C22semidirect
80. #16837766C22semidirect
81. #16837765C22semidirect
82. #16837764C22semidirect
83. #16837760C22semidirect
84. #16837757C22semidirect
85. #16837755C22semidirect
86. #16837747C22semidirect
87. #16837744C22semidirect
88. #16837743C22semidirect
89. #16837739C22semidirect
90. #16837734C22semidirect
91. #16837728C22semidirect
92. #16837726C22semidirect
93. #16837725C22semidirect
94. #16837723C22semidirect
95. #16837721C22semidirect
96. #16837719C22semidirect
97. #16837719C22semidirect
98. #16837717C22semidirect
99. #16837714C22semidirect
100. #16837713C22semidirect
101. #16837705C22semidirect
102. #16837703C22semidirect
103. #16837702C22semidirect
104. #16837700C22semidirect
105. #16837690C22semidirect
106. #16837689C22semidirect
107. #16837681C22semidirect
108. #16837660C22semidirect
109. #16837658C22semidirect
110. #16837649C22semidirect
111. #16837648C22semidirect
112. #16837646C22semidirect
113. #16837645C22semidirect
114. #16837644C22semidirect
115. #16837642C22semidirect
116. #16837634C22semidirect
117. #16837633C22semidirect
118. #16837630C22semidirect
119. #16837630C22semidirect
120. #16837629C22semidirect
121. #16837628C22semidirect
122. #16837625C22semidirect
123. #16837624C22semidirect
124. #16837623C22semidirect
125. #16837622C22semidirect
126. #16837601C22semidirect
127. #16837600C22semidirect
128. #16837599C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837562C22semidirect
132. #16837561C22semidirect
133. #16837555C22semidirect
134. #16837554C22semidirect
135. #16837554C22semidirect
136. #16837554C22semidirect
137. #16837553C22semidirect
138. #16837553C22semidirect
139. #16837552C22semidirect
140. #16837551C22semidirect
141. #16837551C22semidirect
142. #16837551C22semidirect
143. #16837505C22semidirect
144. #16837502C22semidirect
145. #16837500C22semidirect
146. #16837499C22semidirect
147. C4×#11745660C22semidirect
148. SD16×Dic59C22semidirect
149. #16837489C22semidirect
150. #16837477C22semidirect
151. #16837474C22semidirect
152. #16837472C22semidirect
153. #16837471C22semidirect
154. #16837471C22semidirect
155. C8×D236C22semidirect
156. (C22⋊D59)⋊C8C22semidirect
157. #16837443C22semidirect
158. #16837439C22semidirect
159. #16837437C22semidirect
160. #16837427C22semidirect
161. #16837409C22semidirect
162. #16837408C22semidirect
163. #16837407C22semidirect
164. #16837406C22semidirect
167. #16837405C22semidirect
168. #16837405C22semidirect
169. #16837405C22semidirect
170. #16837404C22semidirect
171. #16837400C22semidirect
172. #16837400C22semidirect
173. #16837396C22semidirect
174. #16837395C22semidirect
175. #16837395C22semidirect
176. #16837395C22semidirect
177. C2×#14273648C22semidirect
179. #102×D59C22semidirect
180. #102×D59C22semidirect
181. #102×D59C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. C22⋊C8×D59C22semidirect
187. #16837356C22semidirect
188. C59×#556C22semidirect
190. C59×#486C22semidirect
191. C59×#482C22semidirect
192. C59×#482C22semidirect
193. C59×#474C22semidirect
194. C59×#468C22semidirect
195. C59×#468C22semidirect
196. C59×#460C22semidirect
197. C59×#450C22semidirect
198. C59×#450C22semidirect
199. C4×SD16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#418C22semidirect
202. C59×#418C22semidirect
231. C2×Dic236C23semidirect
232. C2×#11745672C23semidirect
237. C2×#11745670C23semidirect
246. C2×#11745659C23semidirect
248. C22×C59⋊C8C23semidirect
253. C2×C8×D59C23semidirect
255. #14273726C23semidirect
266. #14273719C23semidirect
268. #14273718C23semidirect
295. #14273707C23semidirect
298. #14273706C23semidirect
309. #14273703C23semidirect
342. Q8×Dic59C23semidirect
346. C4×Dic118C23semidirect
348. #14273692C23semidirect
370. #14273685C23semidirect
378. C2×C4⋊Dic59C23semidirect
383. C4⋊C4×D59C23semidirect
393. #14273661C23semidirect
394. #14273660C23semidirect
395. #14273660C23semidirect
396. #14273660C23semidirect
397. #14273659C23semidirect
398. #14273659C23semidirect
399. #14273658C23semidirect
400. #14273658C23semidirect
401. #14273658C23semidirect
402. C4⋊(C59⋊C8)C23semidirect
403. Dic59⋊C8C23semidirect
404. Dic59⋊C8C23semidirect
405. #14273652C23semidirect
406. #14273652C23semidirect
407. #14273652C23semidirect
408. #14273652C23semidirect
409. #14273651C23semidirect
410. #14273650C23semidirect
411. #14273650C23semidirect
412. #14273650C23semidirect
413. #14273650C23semidirect
426. #14273648C23semidirect
427. #14273648C23semidirect
428. #14273648C23semidirect
436. C22⋊(C59⋊C8)C23semidirect
439. (C2×D59)⋊C8C23semidirect
440. (C2×D59)⋊C8C23semidirect
441. #14273638C23semidirect
442. #14273637C23semidirect
443. C8×Dic59C23semidirect
449. C2×SD16×C59C23semidirect
451. C2×M16×C59C23semidirect
452. C4⋊Q8×C59C23semidirect
458. C22⋊Q8×C59C23semidirect
465. C4×Q8×C59C23semidirect
469. #117×C59C23semidirect
470. #107×C59C23semidirect
471. #107×C59C23semidirect
472. #106×C59C23semidirect
473. C4⋊C8×C59C23semidirect
474. #103×C59C23semidirect
481. #102×C59C23semidirect
482. #102×C59C23semidirect
483. #102×C59C23semidirect
485. C22⋊C8×C59C23semidirect
486. C4×C8×C59C23semidirect
931. #3324D59semidirect
980. #556C2×D59semidirect
1029. #486C2×D59semidirect
1038. #482C2×D59semidirect
1039. #482C2×D59semidirect
1053. #474C2×D59semidirect
1060. #468C2×D59semidirect
1061. #468C2×D59semidirect
1077. #460C2×D59semidirect
1092. #450C2×D59semidirect
1093. #450C2×D59semidirect
1101. C4×SD16C2×D59semidirect
1103. #436C2×D59semidirect
1123. #418C2×D59semidirect
1124. #418C2×D59semidirect
1143. C59#61184semidirect
1188. C2×SD16C22×D59semidirect
1196. C2×M16C22×D59semidirect
1206. C4⋊Q8C22×D59semidirect
1265. C22⋊Q8C22×D59semidirect
1311. C4×Q8C22×D59semidirect
1344. #117C22×D59semidirect
1364. #107C22×D59semidirect
1365. #107C22×D59semidirect
1371. #106C22×D59semidirect
1375. C4⋊C8C22×D59semidirect
1385. #103C22×D59semidirect
1413. #102C22×D59semidirect
1414. #102C22×D59semidirect
1415. #102C22×D59semidirect
1423. C22⋊C8C22×D59semidirect
1427. C4×C8C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214378412
#214377242
#214363252
#214363162
#214363142
#214361742
#214361722
#214361332
#214361262
#214361242
#214361182
#214361172
#214361122
#214359362
#214359342
#214359192
#214359132
#214344452
#214340492
#214340082
#214339202
#214337332
#214337212
#214336122
#214333682
#450×D592
#214329502
#214328252
#214326212
#418×D592
C59×#33242
#6118459