Finite Group Databasebeta

← #29466085

Subgroups — #29466085

Order 15104.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437810C211yesmaximal, characteristic, complemented
2#21437724C211yesmaximal, characteristic, complemented
3#21436337C211yesmaximal, characteristic, complemented
4#21436334C211yesmaximal, characteristic, complemented
5#21436322C211yesmaximal, characteristic, complemented
6#21436317C211yesmaximal, characteristic, complemented
7#21436307C211yesmaximal, characteristic, complemented
8#21436299C211yesmaximal, characteristic, complemented
9#21436293C211yesmaximal, characteristic, complemented
10#21436250C211yesmaximal, characteristic, complemented
11#21436249C211yesmaximal, characteristic, complemented
12#21436240C211yesmaximal, characteristic, complemented
13#21436237C211yesmaximal, characteristic, complemented
14#21436126C211yesmaximal, characteristic, complemented
15#21436125C211yesmaximal, characteristic, complemented
16#21436124C211yesmaximal, characteristic, complemented
17#21436121C211yesmaximal, characteristic, complemented
18#21434445C211yesmaximal, characteristic, complemented
19#21434051C211yesmaximal, characteristic, complemented
20#21434024C211yesmaximal, characteristic, complemented
21#21433920C211yesmaximal, characteristic, complemented
22#21433771C211yesmaximal, characteristic, complemented
23#21433700C211yesmaximal, characteristic, complemented
24#21433632C211yesmaximal, characteristic, complemented
25#21433401C211yesmaximal, characteristic, complemented
26#21433324C211yesmaximal, characteristic, complemented
27#21432923C211yesmaximal, characteristic, complemented
28#21432796C211yesmaximal, characteristic, complemented
29#21432621C211yesmaximal, characteristic, complemented
30#418×D59C211yesmaximal, characteristic, complemented
31C59×#3324C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273748C2211yescharacteristic, complemented
37C2×#14273735C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838124—21no—
40#16838123C2211yescharacteristic, complemented
41#16838118C2211yescharacteristic, complemented
42#16838115C2211yescharacteristic, complemented
43#16838114—21no—
44#16838103—21no—
45#16838098C2211yescharacteristic, complemented
46#16838096C2211yescharacteristic, complemented
47#16838094C2211yescharacteristic, complemented
48#16838093C2211yescharacteristic, complemented
49#16838088—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#16837991—21no—
63#16837986—21no—
64#16837982C2211yescharacteristic, complemented
65#16837968C2211yescharacteristic
66#16837965C2211yescharacteristic
67#16837962—21no—
68#16837960—21no—
69#16837939—21no—
70#16837935—21no—
71#16837915C2211yescharacteristic, complemented
72#16837912C2211yescharacteristic
73#16837911C2211yescharacteristic
74C2×#14273695—21no—
75#120×D59—21no—
76#16837884C2211yescharacteristic, complemented
77#16837882C2211yescharacteristic, 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#16837746C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic, complemented
92#16837726C2211yescharacteristic, complemented
93#16837725C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837724C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837718C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837703C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837689C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837659C2211yescharacteristic, complemented
109#16837658C2211yescharacteristic, complemented
110#16837655C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837654C2211yescharacteristic, complemented
113#16837653C2211yescharacteristic, complemented
114#16837651C2211yescharacteristic, complemented
115#16837649C2211yescharacteristic, complemented
116#16837648C2211yescharacteristic, complemented
117#16837645C2211yescharacteristic, complemented
118#16837639C2211yescharacteristic, complemented
119#16837636C2211yescharacteristic, complemented
120#16837633C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837624C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic, complemented
125#16837616C2211yescharacteristic, complemented
126#16837600C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837594C2211yescharacteristic, complemented
129#16837562C2211yescharacteristic, complemented
130#16837561C2211yescharacteristic, complemented
131#16837552C2211yescharacteristic, complemented
132#16837551C2211yescharacteristic, complemented
133#16837551C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic, complemented
135#16837549C2211yescharacteristic, complemented
136#16837548C2211yescharacteristic, complemented
137#16837538C2211yescharacteristic, complemented
138#16837537C2211yescharacteristic, complemented
139#16837537C2211yescharacteristic, complemented
140#16837537C2211yescharacteristic, complemented
141#16837536C2211yescharacteristic, complemented
142#16837536C2211yescharacteristic, complemented
143#16837513C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic, complemented
145#16837503C2211yescharacteristic, complemented
146#16837500C2211yescharacteristic, complemented
147#16837487C2211yescharacteristic, complemented
148C4×D472C2211yescharacteristic, complemented
149#16837482C2211yescharacteristic, complemented
150#16837481C2211yescharacteristic, complemented
151#16837478C2211yescharacteristic, complemented
152#16837478C2211yescharacteristic, complemented
153#16837476C2211yescharacteristic, complemented
154#16837474C2211yescharacteristic, complemented
155#16837472C2211yescharacteristic, complemented
156#16837470C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#16837439C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837408C2211yescharacteristic, complemented
162#16837407C2211yescharacteristic, complemented
163#16837406C2211yescharacteristic, complemented
164#16837405C2211yescharacteristic
165#16837405C2211yescharacteristic, complemented
166#16837405C2211yescharacteristic, complemented
167#16837405C2211yescharacteristic, complemented
168#16837405C2211yescharacteristic, complemented
169#16837405C2211yescharacteristic, complemented
170#16837405C2211yescharacteristic, complemented
171#16837404C2211yescharacteristic, complemented
172#16837400C2211yescharacteristic, complemented
173#16837400C2211yescharacteristic, complemented
174#16837400C2211yescharacteristic, complemented
175#16837397C2211yescharacteristic, complemented
176#16837396C2211yescharacteristic, complemented
177#16837395C2211yescharacteristic, complemented
178#16837395C2211yescharacteristic, complemented
179C2×#14273648C2211yescharacteristic, complemented
180#102×D59C2211yescharacteristic
181#102×D59C2211yescharacteristic
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, 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×#11745689C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745687—21no—
210C2×#11745687C2311yescharacteristic
211C2×#11745687C2311yescharacteristic
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#14273754—24no—
231#14273754—42no—
232#14273748—42no—
233C2×#11745672C2311yescharacteristic, complemented
234C2×#11745660C2311yescharacteristic, complemented
235C2×#11745671C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic, complemented
242#14273735—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic, complemented
249M16×D59—42no—
250C22×C59⋊C8C2311yescharacteristic, complemented
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic, complemented
254#14273726C2311yescharacteristic, complemented
255#14273725—21no—
256#14273723—21no—
257#14273723C2311yescharacteristic
258#14273722—21no—
259#14273722—21no—
260#14273722—21no—
261#14273721—21no—
262#14273721—21no—
263#14273720—21no—
264#14273719C2311yescharacteristic, complemented
265#14273718—21no—
266#14273718C2311yescharacteristic, complemented
267#14273717—21no—
268#14273717—21no—
269#14273716—21no—
270#14273716—21no—
271#14273715—21no—
272#14273715C2311yescharacteristic
273#14273714C2311yescharacteristic
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712D411yescharacteristic
281#14273711—21no—
282#14273711—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709D411yescharacteristic
288#14273708—21no—
289#14273707C2311yescharacteristic
290#14273706C2311yescharacteristic
291#14273705—21no—
292#14273705—21no—
293#14273705D411yescharacteristic
294#14273704D411yescharacteristic
295#14273703—21no—
296#14273703C2311yescharacteristic
297#14273703C2311yescharacteristic, complemented
298#14273702—21no—
299#14273702—21no—
300#14273702C2311yescharacteristic
301#14273702C2311yescharacteristic
302#14273702C2311yescharacteristic, complemented
303#14273701—21no—
304#14273701C2311yescharacteristic
305#14273701C2311yescharacteristic
306#14273701C2311yescharacteristic, complemented
307#14273700—21no—
308#14273700—21no—
309#14273700—21no—
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273700D411yescharacteristic
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699D411yescharacteristic
320#14273698—21no—
321#14273698—21no—
322#14273698C2311yescharacteristic
323#14273698C2311yescharacteristic
324#14273697—21no—
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—
344#14273692—21no—
345C4×D236—21no—
346C4×D236—21no—
347C4×D236—21no—
348C4×D236C2311yescharacteristic
349C4×D236C2311yescharacteristic
350C4×D236C2311yescharacteristic, complemented
351D4×Dic59—21no—
352D4×Dic59C2311yescharacteristic
353#14273689—21no—
354#14273689—21no—
355#14273689C2311yescharacteristic
356#14273689C2311yescharacteristic, complemented
357C4×C22⋊D59—21no—
358C4×C22⋊D59C2311yescharacteristic
359C4×C22⋊D59C2311yescharacteristic
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366#14273686C2311yescharacteristic
367#14273685—21no—
368#14273685C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic, complemented
373#14273684—21no—
374#14273684—21no—
375#14273684—21no—
376#14273684—21no—
377#14273684C2311yescharacteristic
378#14273683—21no—
379#14273683—21no—
380C2×C4⋊Dic59C2311yescharacteristic, complemented
381C4⋊C4×D59—21no—
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic, complemented
385C2×C22⋊Dic59—21no—
386C2×(C2×D59)⋊C4—21no—
387C2×(C2×D59)⋊C4—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C42×D59—21no—
393#14273661C2311yescharacteristic, complemented
394#14273661C2311yescharacteristic, complemented
395#14273660C2311yescharacteristic, complemented
396#14273660C2311yescharacteristic, complemented
397#14273659C2311yescharacteristic, complemented
398#14273658C2311yescharacteristic, 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#14273651C2311yescharacteristic, complemented
409#14273650C2311yescharacteristic, complemented
410#14273650C2311yescharacteristic, complemented
411#14273650C2311yescharacteristic, complemented
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic, complemented
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic, complemented
426#14273648C2311yescharacteristic, complemented
427#14273648C2311yescharacteristic, complemented
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic, complemented
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—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—44no—
535C2×C22⋊D59—44no—
536C2×C22⋊D59—44no—
537C2×C22⋊D59—82no—
538C2×C22⋊D59C2×D411yescharacteristic
539C2×C22⋊D59C2×D411yescharacteristic
540C2×C22⋊D59C2×D411yescharacteristic
541C2×C22⋊D59C2×D411yescharacteristic
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59—21no—
546C22×Dic59C2×D411yescharacteristic
547#11745689—22no—
548#11745689—22no—
549#11745687—22no—
550#11745687—22no—
551#11745687—22no—
552#11745687—41no—
553#11745687—44no—
554D4×D59—22no—
555D4×D59—22no—
556D4×D59—22no—
557D4×D59—22no—
558D4×D59—22no—
559D4×D59—22no—
560D4×D59—41no—
561D4×D59—41no—
562D4×D59—41no—
563D4×D59—44no—
564D4×D59—44no—
565D4×D59—44no—
566D4×D59—82no—
567D4×D59—82no—
568D4×D59#4114yes—
569#11745685—22no—
570#11745685—22no—
571#11745685—22no—
572#11745685—41no—
573C2×D236—22no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—41no—
580C2×D236C2×D411yescharacteristic
581C2×D236C2×D411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×D236C2411yescharacteristic
584C2×D236C2411yescharacteristic
585C2×C4×D59—22no—
586C2×C4×D59—22no—
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—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59C2×D411yescharacteristic
597C2×C4×D59C2×D411yescharacteristic
598C2×C4×D59C2411yescharacteristic
599C2×C4×D59C2411yescharacteristic
600C2×C4×D59C2411yescharacteristic
601C2×Dic118—21no—
602C2×Dic118C2×D411yescharacteristic
603C2×Dic118C2411yescharacteristic
604SD16×C59—22no—
605SD16×C59—41no—
606SD16×C59—41no—
607M16×C59—41no—
608M16×C59—41no—
609C2×C8×C59C2411yescharacteristic
610C2×C8×C59C2411yescharacteristic
611C2×C8×C59C2411yescharacteristic
612C2×C8×C59C2411yescharacteristic
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
615C4⋊C4×C59—21no—
616C4⋊C4×C59—21no—
617C4⋊C4×C59C2×D411yescharacteristic
618C4⋊C4×C59C2411yescharacteristic
619C4⋊C4×C59C2411yescharacteristic
620C4⋊C4×C59C2411yescharacteristic
621C4⋊C4×C59C2411yescharacteristic
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59C2×D411yescharacteristic
630C22⋊C4×C59C2×D411yescharacteristic
631C42×C59—21no—
632C42×C59—21no—
633C42×C59—21no—
634C42×C59C2411yescharacteristic
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59C2×D411yescharacteristic
643C22⋊Dic59C2×D411yescharacteristic
644#11745672—41no—
645#11745671—22no—
646#11745671—41no—
647#11745669—22no—
648#11745669—41no—
649#11745669—41no—
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)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
671(C2×D59)⋊C4C2×D411yescharacteristic
672(C2×D59)⋊C4C2×D411yescharacteristic
673(C2×D59)⋊C4C2×D411yescharacteristic
674(C2×D59)⋊C4C2×D411yescharacteristic
675(C2×D59)⋊C4C2×D411yescharacteristic
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59—21no—
680C4⋊Dic59C2×D411yescharacteristic
681C4⋊Dic59C2411yescharacteristic
682C4⋊Dic59C2411yescharacteristic
683C4⋊Dic59C2411yescharacteristic
684C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
695Dic59⋊C4C2×D411yescharacteristic
696Dic59⋊C4C2×D411yescharacteristic
697Dic59⋊C4C2×D411yescharacteristic
698Dic59⋊C4C2×D411yescharacteristic
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
713D472—22no—
714D472—41no—
715#11745660—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—41no—
719#11745659—41no—
720#11745659—41no—
721C8×D59—22no—
722C8×D59—22no—
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—24no—
738C22×D59—21no—
739C22×D59—21no—
740C22×D59—41no—
741C22×D59—41no—
742C22×D59—42no—
743C22×D59—42no—
744C22×D59—42no—
745C22×D59—42no—
746C22×D59—42no—
747C22×D59—42no—
748C22×D59—42no—
749C22×D59—42no—
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—81no—
759C22×D59—816no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—81no—
766D4×C59—21no—
767D4×C59—21no—
768D4×C59—21no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—41no—
772D4×C59—42no—
773D4×C59—42no—
774D4×C59—42no—
775D4×C59—81no—
776D4×C59—81no—
777D4×C59—81no—
778D4×C59C2×#4112yes—
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—21no—
788C2×C4×C59—81no—
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C22×D411yescharacteristic
793C2×C4×C59C2511yescharacteristic
794C22⋊D59—22no—
795C22⋊D59—22no—
796C22⋊D59—24no—
797C22⋊D59—41no—
798C22⋊D59—41no—
799C22⋊D59—42no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—81no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C2×Dic59—22no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—42no—
820C2×Dic59—42no—
821C2×Dic59—81no—
822C2×Dic59—81no—
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828D236—22no—
829D236—21no—
830D236—21no—
831D236—21no—
832D236—21no—
833D236—21no—
834D236—41no—
835D236—42no—
836D236—42no—
837D236—81no—
838D236—81no—
839D236—81no—
840D236C2×#4112yes—
841C4×D59—22no—
842C4×D59—21no—
843C4×D59—21no—
844C4×D59—21no—
845C4×D59—21no—
846C4×D59—22no—
847C4×D59—42no—
848C4×D59—42no—
849C4×D59—81no—
850C4×D59—81no—
851C4×D59—81no—
852C4×D59—81no—
853C4×D59—81no—
854C4×D59—81no—
855C4×D59—81no—
856C4×D59C2×#4112yes—
857C4×D59H(5,𝔽2)12yes—
858Dic118—22no—
859Dic118—21no—
860Dic118—21no—
861Dic118—81no—
862C8×C59—21no—
863C8×C59—21no—
864C8×C59—21no—
865C8×C59—21no—
866C59⋊C8—21no—
867C59⋊C8—21no—
868C59⋊C8—21no—
869C59⋊C8—21no—
870#61175—591nomaximal, Sylow
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—22no—
877C22×C59—21no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—84no—
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—21no—
896C2×D59—21no—
897C2×D59—22no—
898C2×D59—44no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—84no—
908C2×D59—84no—
909C2×D59—84no—
910C2×D59—84no—
911C2×D59—84no—
912C2×D59—162no—
913C2×D59#54612yes—
914C4×C59—21no—
915C4×C59—21no—
916C4×C59—21no—
917C4×C59—21no—
918C4×C59—41no—
919C4×C59—41no—
920C4×C59—41no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59C22×#4111yescharacteristic
924C4×C59C2×H(5,𝔽2)11yescharacteristic
925Dic59—21no—
926Dic59—21no—
927Dic59—21no—
928Dic59—21no—
929Dic59—41no—
930Dic59—41no—
931Dic59—41no—
932Dic59—41no—
933Dic59—41no—
934Dic59#54612yes—
935#3493—591no—
936#3484—591no—
937#3325—591no—
938#3325—591no—
939#3324—591no—
940#3324D5911yescharacteristic, complemented
941#3323—591no—
942#3323—591no—
943#3322—591no—
944#3322—591no—
945#3319—591no—
946#3319—591no—
947#3318—591no—
948#3318—591no—
949#3311—591no—
950#3311—591no—
951#3310—591no—
952#3310—591no—
953#3136—591no—
954#3096—591no—
955#3093—591no—
956#3081—591no—
957#3062—591no—
958#3054—591no—
959#3045—591no—
960#3012—591no—
961#3003—591no—
962#2946—591no—
963#2930—591no—
964#2897—591no—
965C2×#418—591no—
966C2×C59—41no—
967C2×C59—42no—
968C2×C59—41no—
969C2×C59—81no—
970C2×C59—81no—
971C2×C59C2×#54611yescharacteristic
972C2×C59#358511yescharacteristic
973C2×C59#358511yescharacteristic
974D59—22no—
975D59—41no—
976D59—41no—
977D59—42no—
978D59—81no—
979D59—81no—
980C2×H(5,𝔽2)—591no—
981C23×D4—591no—
982C2×AGL(1,ℤ/8)—591no—
983C2×AGL(1,ℤ/8)—591no—
984C2×#135—591no—
985C2×#131—591no—
986C22×M16—591no—
987#556—591no—
988#556—1181no—
989#556C2×D5911yescharacteristic, complemented
990#555—591no—
991#555—591no—
992#555—1181no—
993#553—591no—
994#553—591no—
995#553—1181no—
996#552—591no—
997#552—591no—
998#552—1181no—
999#546—591no—
1000#546—591no—
1001#546—591no—
1002#546—591no—
1003#546—1181no—
1004#546—1181no—
1005D42—591no—
1006D42—591no—
1007D42—591no—
1008D42—1181no—
1009D42—1181no—
1010D42C2×D5911yescharacteristic
1011#544—591no—
1012#538—1181no—
1013#538—1181no—
1014#537—591no—
1015#535—591no—
1016#535—591no—
1017#534—1181no—
1018#534—1181no—
1019#529—1181no—
1020#529—1181no—
1021#525—591no—
1022#525—591no—
1023#525—591no—
1024C2×#120—1181no—
1025C2×#120—1181no—
1026#520—591no—
1027#520—591no—
1028#518—591no—
1029C2×#117—591no—
1030#490—591no—
1031#490—591no—
1032#489—591no—
1033#489—591no—
1034#488—591no—
1035#488—591no—
1036#486—591no—
1037#486C2×D5911yescharacteristic, complemented
1038#485—591no—
1039#485—591no—
1040#485—591no—
1041#485—591no—
1042#482—591no—
1043#482—591no—
1044#482—591no—
1045#482—591no—
1046#482—591no—
1047#482—591no—
1048#482C2×D5911yescharacteristic, complemented
1049#482C2×D5911yescharacteristic, complemented
1050#481—591no—
1051#481—591no—
1052#480—591no—
1053#480—591no—
1054#478—591no—
1055#478—591no—
1056#478—591no—
1057#478—591no—
1058#476—591no—
1059#476—591no—
1060#474—591no—
1061#474C2×D5911yescharacteristic, complemented
1062#470—591no—
1063#470—591no—
1064#469—591no—
1065#469—591no—
1066#469—591no—
1067#469—591no—
1068#468—591no—
1069#468—591no—
1070#468—591no—
1071#468—591no—
1072#468C2×D5911yescharacteristic, complemented
1073#468C2×D5911yescharacteristic, complemented
1074#466—591no—
1075#466—591no—
1076#465—591no—
1077#465—591no—
1078#464—591no—
1079#464—591no—
1080#463—591no—
1081#463—591no—
1082#460—591no—
1083#460C2×D5911yescharacteristic, complemented
1084#459—591no—
1085#459—591no—
1086#452—591no—
1087#452—591no—
1088#450—591no—
1089#450—591no—
1090#450—591no—
1091#450—591no—
1092#450C2×D5911yescharacteristic, complemented
1093#450C2×D5911yescharacteristic, complemented
1094#449—591no—
1095#449—591no—
1096#447—591no—
1097#447—591no—
1098#447—591no—
1099#447—591no—
1100#447—591no—
1101#447—591no—
1102#442—591no—
1103#442—591no—
1104#440—591no—
1105#440—591no—
1106C4×SD16—591no—
1107C4×SD16C2×D5911yescharacteristic, complemented
1108C4×D8—591no—
1109C4×D8—591no—
1110#436—591no—
1111#436—591no—
1112#436—591no—
1113#436C2×D5911yescharacteristic, complemented
1114#435—591no—
1115#435—591no—
1116#435—591no—
1117#435—591no—
1118#428—591no—
1119#428—591no—
1120#427—591no—
1121#424—591no—
1122#418—591no—
1123#418—591no—
1124#418—591no—
1125#418—591no—
1126#418—591no—
1127#418—591no—
1128#418—591no—
1129#418—591no—
1130#418—591no—
1131#418—591no—
1132#418C2×D5911yescharacteristic, complemented
1133#418C2×D5911yescharacteristic, complemented
1134#417—591no—
1135#417—591no—
1136#417—591no—
1137#417—591no—
1138#416—591no—
1139#416—591no—
1140#416—591no—
1141#416—591no—
1142C2×#102—591no—
1143C2×#102—591no—
1144C2×#102—591no—
1145C2×#102—591no—
1146C2×#102—591no—
1147C2×#102—591no—
1148#408—591no—
1149#407—591no—
1150#405—591no—
1151C59#6117511yescharacteristic, complemented, Sylow
1152C25—1181no—
1153H(5,𝔽2)—1184no—
1154H(5,𝔽2)—2362no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—1181no—
1161C22×D4—21no—
1162C22×D4—591no—
1163C22×D4—591no—
1164C22×D4—591no—
1165C22×D4—591no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—1181no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1184no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C22×D4—1181no—
1175C22×D4—1181no—
1176C22×D4—1181no—
1177C22×D4—1181no—
1178C22×D4—2362no—
1179C22×D4C22×D5911yescharacteristic
1180C22×D4C22×D5911yescharacteristic
1181C23×C4—591no—
1182AGL(1,ℤ/8)—1184no—
1183AGL(1,ℤ/8)—2362no—
1184#135—2362no—
1185C2×Q16—591no—
1186C2×SD16—591no—
1187C2×SD16—591no—
1188C2×SD16—591no—
1189C2×SD16C22×D5911yescharacteristic
1190C2×SD16C22×D5911yescharacteristic
1191C2×SD16C22×D5911yescharacteristic, complemented
1192C2×D8—591no—
1193C2×D8—591no—
1194C2×D8—591no—
1195C2×D8—591no—
1196C2×D8—591no—
1197#131—2362no—
1198C2×M16—591no—
1199C2×M16—591no—
1200C2×M16—591no—
1201C2×M16—591no—
1202C2×M16—591no—
1203C2×M16—591no—
1204C2×M16—2362no—
1205C2×M16C22×D5911yescharacteristic
1206C2×M16C22×D5911yescharacteristic, complemented
1207C22×C8—591no—
1208C22×C8—591no—
1209C22×C8—591no—
1210C22×C8—591no—
1211C4⋊Q8—591no—
1212C4⋊Q8—1181no—
1213C4⋊Q8C22×D5911yescharacteristic, complemented
1214#127—591no—
1215#127—1181no—
1216#127C22×D5911yescharacteristic
1217#126—21no—
1218#126—21no—
1219#126—1181no—
1220#126—1181no—
1221#126—1181no—
1222#126—1181no—
1223#126—1181no—
1224#126—1181no—
1225#125—591no—
1226#125—591no—
1227#125—1181no—
1228#125—1181no—
1229#125—1181no—
1230#124—21no—
1231#124—591no—
1232#124—591no—
1233#124—1181no—
1234#124—1181no—
1235#124—1181no—
1236#124—1181no—
1237#124—1181no—
1238#124—1181no—
1239#123—591no—
1240#123—591no—
1241#123—1181no—
1242#123—1181no—
1243#123—1181no—
1244#123—1181no—
1245#123—1181no—
1246#123—1181no—
1247#123—1181no—
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251C22⋊Q8—591no—
1252C22⋊Q8—591no—
1253C22⋊Q8—591no—
1254C22⋊Q8—591no—
1255C22⋊Q8—591no—
1256C22⋊Q8—591no—
1257C22⋊Q8—1181no—
1258C22⋊Q8—1181no—
1259C22⋊Q8—1181no—
1260C22⋊Q8C22×D5911yescharacteristic
1261C22⋊Q8C22×D5911yescharacteristic, complemented
1262#121—21no—
1263#121—591no—
1264#121—591no—
1265#121—591no—
1266#121—591no—
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#121—1181no—
1283#121—1181no—
1284#121—1181no—
1285#121—1181no—
1286#121—1181no—
1287#121—1181no—
1288#121—1181no—
1289#121C22×D5911yescharacteristic
1290#121C22×D5911yescharacteristic
1291#120—21no—
1292#120—21no—
1293#120—591no—
1294#120—591no—
1295#120—1181no—
1296#120—1181no—
1297#120—1181no—
1298#120—1181no—
1299#120—1181no—
1300#120—1181no—
1301#120—1181no—
1302#120—1181no—
1303#120—1181no—
1304#120—1181no—
1305#120—1181no—
1306#120—1181no—
1307#120—1181no—
1308#120—1181no—
1309#120—1181no—
1310#120—1181no—
1311C4×Q8—21no—
1312C4×Q8—591no—
1313C4×Q8—1181no—
1314C4×Q8—1181no—
1315C4×Q8C22×D5911yescharacteristic, complemented
1316C4×D4—591no—
1317C4×D4—591no—
1318C4×D4—591no—
1319C4×D4—591no—
1320C4×D4—591no—
1321C4×D4—591no—
1322C4×D4—591no—
1323C4×D4—591no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4—1181no—
1328C4×D4—1181no—
1329C4×D4—1181no—
1330C4×D4—1181no—
1331C4×D4—1181no—
1332C4×D4—1181no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4—1181no—
1337C4×D4C22×D5911yescharacteristic
1338C4×D4C22×D5911yescharacteristic
1339#117—591no—
1340#117—591no—
1341#117—591no—
1342#117—591no—
1343#117—591no—
1344#117—591no—
1345#117—591no—
1346#117—1181no—
1347#117—1181no—
1348#117—1181no—
1349#117—1181no—
1350#117—1181no—
1351#117—1181no—
1352#117—1181no—
1353#117C22×D5911yescharacteristic
1354#117C22×D5911yescharacteristic, complemented
1355C2×C4⋊C4—591no—
1356C2×C4⋊C4—591no—
1357C2×C4⋊C4—591no—
1358C2×C4⋊C4—591no—
1359C2×C4⋊C4—1181no—
1360C2×C22⋊C4—1181no—
1361C2×C22⋊C4—1181no—
1362C2×C22⋊C4—1181no—
1363C2×C22⋊C4—1181no—
1364C2×C22⋊C4—1181no—
1365C2×C22⋊C4—1181no—
1366C2×C22⋊C4—1181no—
1367C2×C42—1181no—
1368#107—591no—
1369#107—591no—
1370#107—591no—
1371#107—591no—
1372#107C22×D5911yescharacteristic, complemented
1373#107C22×D5911yescharacteristic, complemented
1374#106—591no—
1375#106—591no—
1376#106—591no—
1377#106—591no—
1378#106—591no—
1379#106C22×D5911yescharacteristic, complemented
1380C4⋊C8—591no—
1381C4⋊C8—591no—
1382C4⋊C8—591no—
1383C4⋊C8C22×D5911yescharacteristic, complemented
1384#103—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103C22×D5911yescharacteristic, complemented
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#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
1417#102C22×D5911yescharacteristic
1418#102C22×D5911yescharacteristic
1419#102C22×D5911yescharacteristic
1420#102C22×D5911yescharacteristic
1421#102C22×D5911yescharacteristic, complemented
1422#102C22×D5911yescharacteristic, complemented
1423#102C22×D5911yescharacteristic, complemented
1424C22⋊C8—591no—
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8C22×D5911yescharacteristic
1431C22⋊C8C22×D5911yescharacteristic, complemented
1432#97—591no—
1433#97—591no—
1434C4×C8—591no—
1435C4×C8C22×D5911yescharacteristic, complemented
1436C24—21no—
1437C24—21no—
1438C24—591no—
1439C24—1181no—
1440C24—1181no—
1441C24—1181no—
1442C24—1181no—
1443C24—1181no—
1444C24—1181no—
1445C24—4722no—
1446C24—4722no—
1447C24—2364no—
1448#41—1182no—
1449#41—1182no—
1450#41—1182no—
1451#41—1182no—
1452#41—1182no—
1453#41—1182no—
1454#41—1182no—
1455#41—1182no—
1456#41—2361no—
1457#41—2361no—
1458#41—2364no—
1459C2×Q8—21no—
1460C2×Q8—591no—
1461C2×Q8—591no—
1462C2×Q8—1181no—
1463C2×Q8C23×D5911yescharacteristic
1464C2×D4—22no—
1465C2×D4—22no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—41no—
1473C2×D4—41no—
1474C2×D4—82no—
1475C2×D4—594no—
1476C2×D4—591no—
1477C2×D4—591no—
1478C2×D4—591no—
1479C2×D4—591no—
1480C2×D4—591no—
1481C2×D4—591no—
1482C2×D4—591no—
1483C2×D4—591no—
1484C2×D4—591no—
1485C2×D4—1182no—
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—1182no—
1501C2×D4—1182no—
1502C2×D4—1182no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—4722no—
1513C2×D4—4722no—
1514C2×D4—4722no—
1515C2×D4—2361no—
1516C2×D4—2361no—
1517C2×D4—2361no—
1518C2×D4—2361no—
1519C2×D4—2364no—
1520C2×D4—2364no—
1521C2×D4—2364no—
1522C2×D4—2364no—
1523C2×D4—2364no—
1524C2×D4—2364no—
1525C2×D4D4×D5911yescharacteristic
1526C2×D4C23×D5911yescharacteristic
1527C2×D4C23×D5911yescharacteristic
1528C2×D4C23×D5911yescharacteristic
1529C22×C4—21no—
1530C22×C4—591no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—591no—
1536C22×C4—1182no—
1537C22×C4—1182no—
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—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4C23×D5911yescharacteristic
1552C22×C4C23×D5911yescharacteristic
1553Q16—2361no—
1554SD16—22no—
1555SD16—41no—
1556SD16—41no—
1557SD16—1182no—
1558SD16—2361no—
1559SD16—2361no—
1560D8—1182no—
1561D8—1182no—
1562D8—2361no—
1563D8—2361no—
1564D8—2361no—
1565M16—41no—
1566M16—41no—
1567M16—1182no—
1568M16—1182no—
1569M16—2361no—
1570M16—2361no—
1571M16—2361no—
1572M16—2361no—
1573C2×C8—591no—
1574C2×C8—591no—
1575C2×C8—591no—
1576C2×C8—591no—
1577C2×C8—1182no—
1578C2×C8—1182no—
1579C2×C8—2361no—
1580C2×C8—2361no—
1581C2×C8C23×D5911yescharacteristic
1582C2×C8C23×D5911yescharacteristic
1583C2×C8C23×D5911yescharacteristic
1584C2×C8C23×D5911yescharacteristic
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—591no—
1590C4⋊C4—591no—
1591C4⋊C4—591no—
1592C4⋊C4—591no—
1593C4⋊C4—591no—
1594C4⋊C4—591no—
1595C4⋊C4—591no—
1596C4⋊C4—591no—
1597C4⋊C4—591no—
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⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4D4×D5911yescharacteristic
1613C4⋊C4C23×D5911yescharacteristic
1614C4⋊C4C23×D5911yescharacteristic
1615C4⋊C4C23×D5911yescharacteristic
1616C4⋊C4C23×D5911yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—591no—
1625C22⋊C4—591no—
1626C22⋊C4—591no—
1627C22⋊C4—591no—
1628C22⋊C4—591no—
1629C22⋊C4—591no—
1630C22⋊C4—591no—
1631C22⋊C4—591no—
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⋊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⋊C4D4×D5911yescharacteristic
1660C22⋊C4D4×D5911yescharacteristic
1661C42—21no—
1662C42—21no—
1663C42—21no—
1664C42—591no—
1665C42—1181no—
1666C42—1181no—
1667C42—1181no—
1668C42—1181no—
1669C42—1181no—
1670C42—1181no—
1671C42—1181no—
1672C42C23×D5911yescharacteristic
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—42no—
1677C23—42no—
1678C23—42no—
1679C23—81no—
1680C23—81no—
1681C23—81no—
1682C23—591no—
1683C23—591no—
1684C23—591no—
1685C23—1184no—
1686C23—1182no—
1687C23—1181no—
1688C23—1181no—
1689C23—1181no—
1690C23—4721no—
1691C23—4721no—
1692C23—4721no—
1693C23—4721no—
1694C23—4721no—
1695C23—4721no—
1696C23—4721no—
1697C23—4721no—
1698C23—4721no—
1699C23—47216no—
1700C23—2361no—
1701C23—2361no—
1702C23—2362no—
1703C23—2362no—
1704C23—2362no—
1705C23—2362no—
1706C23—2362no—
1707C23—2362no—
1708C23—2362no—
1709C23—2362no—
1710C23C2×D4×D5911yescharacteristic
1711C23C2×D4×D5911yescharacteristic
1712Q8—21no—
1713Q8—21no—
1714Q8—81no—
1715Q8—1182no—
1716Q8—1181no—
1717Q8—1181no—
1718Q8—4721no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—41no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—592no—
1732D4—1182no—
1733D4—1184no—
1734D4—1182no—
1735D4—1182no—
1736D4—1181no—
1737D4—1181no—
1738D4—1181no—
1739D4—1181no—
1740D4—1181no—
1741D4—4721no—
1742D4—4721no—
1743D4—4721no—
1744D4—4721no—
1745D4—4721no—
1746D4—4721no—
1747D4—4721no—
1748D4—4721no—
1749D4—4721no—
1750D4—2361no—
1751D4—2362no—
1752D4—2362no—
1753D4—2362no—
1754D4—2361no—
1755D4—2361no—
1756D4—2362no—
1757D4—2362no—
1758D4—2362no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4#41×D5912yes—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—81no—
1774C2×C4—591no—
1775C2×C4—592no—
1776C2×C4—592no—
1777C2×C4—591no—
1778C2×C4—591no—
1779C2×C4—591no—
1780C2×C4—591no—
1781C2×C4—1182no—
1782C2×C4—1182no—
1783C2×C4—1182no—
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—1181no—
1793C2×C4—4721no—
1794C2×C4—4721no—
1795C2×C4—4721no—
1796C2×C4—4721no—
1797C2×C4—4721no—
1798C2×C4—4721no—
1799C2×C4—4721no—
1800C2×C4—4721no—
1801C2×C4—4721no—
1802C2×C4—2362no—
1803C2×C4—2362no—
1804C2×C4—2362no—
1805C2×C4—2362no—
1806C2×C4C2×D4×D5911yescharacteristic
1807C2×C4C2×D4×D5911yescharacteristic
1808C2×C4C2×D4×D5911yescharacteristic
1809C2×C4C2×D4×D5911yescharacteristic
1810C2×C4C24×D5911yescharacteristic
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—21no—
1815C8—1181no—
1816C8—1181no—
1817C8—1181no—
1818C8—1181no—
1819C22—21no—
1820C22—21no—
1821C22—22no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—84no—
1835C22—162no—
1836C22—592no—
1837C22—1181no—
1838C22—1181no—
1839C22—1181no—
1840C22—1181no—
1841C22—1182no—
1842C22—1181no—
1843C22—1181no—
1844C22—1181no—
1845C22—1181no—
1846C22—9442no—
1847C22—4724no—
1848C22—4724no—
1849C22—4724no—
1850C22—4724no—
1851C22—4724no—
1852C22—2364no—
1853C22—2361no—
1854C22—2361no—
1855C22—2361no—
1856C22—2361no—
1857C22—2361no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22C22×D4×D5911yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—592no—
1872C4—1181no—
1873C4—1181no—
1874C4—1181no—
1875C4—1181no—
1876C4—2361no—
1877C4—2361no—
1878C4—2361no—
1879C4—2361no—
1880C4—2361no—
1881C4C2×#41×D5911yescharacteristic
1882C4H(5,𝔽2)×D5911yescharacteristic
1883C2—41no—
1884C2—41no—
1885C2—42no—
1886C2—81no—
1887C2—81no—
1888C2—1182no—
1889C2—4721no—
1890C2—4721no—
1891C2—2361no—
1892C2—2361no—
1893C2—2362no—
1894C2#546×D5911yescharacteristic
1895C2#2143887211yescharacteristic
1896C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3324C2
socleC22×C59C23×D4
hypercenter#3324D59
hypocenterC59#61175
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. #21437810C2semidirect
2. #21437724C2semidirect
3. #21436337C2semidirect
4. #21436334C2semidirect
5. #21436322C2semidirect
6. #21436317C2semidirect
7. #21436307C2semidirect
8. #21436299C2semidirect
9. #21436293C2semidirect
10. #21436250C2semidirect
11. #21436249C2semidirect
12. #21436240C2semidirect
13. #21436237C2semidirect
14. #21436126C2semidirect
15. #21436125C2semidirect
16. #21436124C2semidirect
17. #21436121C2semidirect
18. #21434445C2semidirect
19. #21434051C2semidirect
20. #21434024C2semidirect
21. #21433920C2semidirect
22. #21433771C2semidirect
23. #21433700C2semidirect
24. #21433632C2semidirect
25. #21433401C2semidirect
26. #21433324C2semidirect
27. #21432923C2semidirect
28. #21432796C2semidirect
29. #21432621C2semidirect
30. #418×D59C2semidirect
31. C59×#3324C2semidirect
35. C2×#14273754C22semidirect
36. C2×#14273748C22semidirect
37. C2×#14273735C22semidirect
38. C2×M16×D59C22semidirect
40. #16838123C22semidirect
41. #16838118C22semidirect
42. #16838115C22semidirect
45. #16838098C22semidirect
46. #16838096C22semidirect
47. #16838094C22semidirect
48. #16838093C22semidirect
61. #16838029C22semidirect
64. #16837982C22semidirect
71. #16837915C22semidirect
76. #16837884C22semidirect
77. #16837882C22semidirect
79. #117×D59C22semidirect
80. #16837766C22semidirect
81. #16837765C22semidirect
82. #16837764C22semidirect
83. #16837760C22semidirect
84. #16837757C22semidirect
85. #16837755C22semidirect
86. #16837747C22semidirect
87. #16837746C22semidirect
88. #16837745C22semidirect
89. #16837744C22semidirect
90. #16837743C22semidirect
91. #16837729C22semidirect
92. #16837726C22semidirect
93. #16837725C22semidirect
94. #16837724C22semidirect
95. #16837724C22semidirect
96. #16837723C22semidirect
97. #16837722C22semidirect
98. #16837718C22semidirect
99. #16837716C22semidirect
100. #16837714C22semidirect
101. #16837705C22semidirect
102. #16837703C22semidirect
103. #16837702C22semidirect
104. #16837700C22semidirect
105. #16837690C22semidirect
106. #16837689C22semidirect
107. #16837681C22semidirect
108. #16837659C22semidirect
109. #16837658C22semidirect
110. #16837655C22semidirect
111. #16837654C22semidirect
112. #16837654C22semidirect
113. #16837653C22semidirect
114. #16837651C22semidirect
115. #16837649C22semidirect
116. #16837648C22semidirect
117. #16837645C22semidirect
118. #16837639C22semidirect
119. #16837636C22semidirect
120. #16837633C22semidirect
121. #16837628C22semidirect
122. #16837624C22semidirect
123. #16837622C22semidirect
124. #16837618C22semidirect
125. #16837616C22semidirect
126. #16837600C22semidirect
127. #16837596C22semidirect
128. #16837594C22semidirect
129. #16837562C22semidirect
130. #16837561C22semidirect
131. #16837552C22semidirect
132. #16837551C22semidirect
133. #16837551C22semidirect
134. #16837551C22semidirect
135. #16837549C22semidirect
136. #16837548C22semidirect
137. #16837538C22semidirect
138. #16837537C22semidirect
139. #16837537C22semidirect
140. #16837537C22semidirect
141. #16837536C22semidirect
142. #16837536C22semidirect
143. #16837513C22semidirect
144. #16837512C22semidirect
145. #16837503C22semidirect
146. #16837500C22semidirect
147. #16837487C22semidirect
148. C4×D472C22semidirect
149. #16837482C22semidirect
150. #16837481C22semidirect
151. #16837478C22semidirect
152. #16837478C22semidirect
153. #16837476C22semidirect
154. #16837474C22semidirect
155. #16837472C22semidirect
156. #16837470C22semidirect
157. #16837443C22semidirect
158. #16837441C22semidirect
159. #16837439C22semidirect
160. #16837427C22semidirect
161. #16837408C22semidirect
162. #16837407C22semidirect
163. #16837406C22semidirect
165. #16837405C22semidirect
166. #16837405C22semidirect
167. #16837405C22semidirect
168. #16837405C22semidirect
169. #16837405C22semidirect
170. #16837405C22semidirect
171. #16837404C22semidirect
172. #16837400C22semidirect
173. #16837400C22semidirect
174. #16837400C22semidirect
175. #16837397C22semidirect
176. #16837396C22semidirect
177. #16837395C22semidirect
178. #16837395C22semidirect
179. C2×#14273648C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. #16837364C22semidirect
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
233. C2×#11745672C23semidirect
234. C2×#11745660C23semidirect
241. C2×#11745669C23semidirect
248. C2×#11745659C23semidirect
250. C22×C59⋊C8C23semidirect
253. C2×C8×D59C23semidirect
254. #14273726C23semidirect
264. #14273719C23semidirect
266. #14273718C23semidirect
297. #14273703C23semidirect
302. #14273702C23semidirect
306. #14273701C23semidirect
342. Q8×Dic59C23semidirect
350. C4×D236C23semidirect
356. #14273689C23semidirect
372. #14273685C23semidirect
380. C2×C4⋊Dic59C23semidirect
384. C4⋊C4×D59C23semidirect
393. #14273661C23semidirect
394. #14273661C23semidirect
395. #14273660C23semidirect
396. #14273660C23semidirect
397. #14273659C23semidirect
398. #14273658C23semidirect
399. #14273658C23semidirect
400. #14273658C23semidirect
401. #14273658C23semidirect
402. C4⋊(C59⋊C8)C23semidirect
403. Dic59⋊C8C23semidirect
404. Dic59⋊C8C23semidirect
405. #14273652C23semidirect
406. #14273652C23semidirect
407. #14273652C23semidirect
408. #14273651C23semidirect
409. #14273650C23semidirect
410. #14273650C23semidirect
411. #14273650C23semidirect
418. #14273649C23semidirect
425. #14273648C23semidirect
426. #14273648C23semidirect
427. #14273648C23semidirect
434. #14273647C23semidirect
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
940. #3324D59semidirect
989. #556C2×D59semidirect
1037. #486C2×D59semidirect
1048. #482C2×D59semidirect
1049. #482C2×D59semidirect
1061. #474C2×D59semidirect
1072. #468C2×D59semidirect
1073. #468C2×D59semidirect
1083. #460C2×D59semidirect
1092. #450C2×D59semidirect
1093. #450C2×D59semidirect
1107. C4×SD16C2×D59semidirect
1113. #436C2×D59semidirect
1132. #418C2×D59semidirect
1133. #418C2×D59semidirect
1151. C59#61175semidirect
1191. C2×SD16C22×D59semidirect
1206. C2×M16C22×D59semidirect
1213. C4⋊Q8C22×D59semidirect
1261. C22⋊Q8C22×D59semidirect
1315. C4×Q8C22×D59semidirect
1354. #117C22×D59semidirect
1372. #107C22×D59semidirect
1373. #107C22×D59semidirect
1379. #106C22×D59semidirect
1383. C4⋊C8C22×D59semidirect
1391. #103C22×D59semidirect
1421. #102C22×D59semidirect
1422. #102C22×D59semidirect
1423. #102C22×D59semidirect
1431. C22⋊C8C22×D59semidirect
1435. C4×C8C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214378102
#214377242
#214363372
#214363342
#214363222
#214363172
#214363072
#214362992
#214362932
#214362502
#214362492
#214362402
#214362372
#214361262
#214361252
#214361242
#214361212
#214344452
#214340512
#214340242
#214339202
#214337712
#214337002
#214336322
#214334012
#214333242
#214329232
#214327962
#214326212
#418×D592
C59×#33242
#6117559