Finite Group Databasebeta

← D59×#3500 #29497153

Subgroups — D59×#3500 #29497153

Order 15104.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×2−1+4×D59C211yesmaximal, characteristic, complemented
2C2×H(5,𝔽2)×D59C211yesmaximal, characteristic, complemented
3#21437890C211yesmaximal, characteristic, complemented
4#21437889C211yesmaximal, characteristic, complemented
5#21437888C213yesmaximal, complemented
6#21437887C214yesmaximal, complemented
7#21437886C213yesmaximal, complemented
8#21437885C213yesmaximal, complemented
9#21437884C211yesmaximal, characteristic, complemented
10#21437883C213yesmaximal, complemented
11#21437882C2112yesmaximal, complemented
12#548×D59C214yesmaximal, complemented
13#546×D59C2112yesmaximal, complemented
14#536×D59C213yesmaximal, complemented
15#535×D59C213yesmaximal, complemented
16#532×D59C213yesmaximal, complemented
17C2×#124×D59C213yesmaximal, complemented
18C4×#41×D59C211yesmaximal, characteristic, complemented
19C59×#3500C211yesmaximal, characteristic, complemented
20C2×#14273775C2213yescomplemented
21C2×#14273775C2212yescomplemented
22C2×#14273774C2211yescharacteristic, complemented
23C2×#14273774C2216yescomplemented
24C2×#14273774C2213yescomplemented
252−1+4×D59—216no—
26C2×#14273773C2213yescomplemented
27C2×#14273773C2212yescomplemented
28C2×#14273773C2211yescharacteristic, complemented
29C2×#14273772C2216yescomplemented
30C2×#14273772C2213yescomplemented
31H(5,𝔽2)×D59—216no—
32C2×#41×D59C2212yes—
33C2×#41×D59C2213yes—
34C2×#41×D59C2211yescharacteristic
35C2×#41×D59C2216yescomplemented
36C2×#41×D59C2213yescomplemented
37C22×Q8×D59C2212yescomplemented
38C22×Q8×D59C2213yescomplemented
39C22×D4×D59C2216yes—
40C22×D4×D59C2213yes—
41#16838064C2214yescomplemented
42#16838063C2214yescomplemented
43#16838062C22112yescomplemented
44#16838061C22112yescomplemented
45#16838060C22112yescomplemented
46#16838059C2214yescomplemented
47#16838058C22112yescomplemented
48#16838049C22112yescomplemented
49#16838048C22112yescomplemented
50#16838047C22112yescomplemented
51#16838046C22112yescomplemented
52#16838045C22112yescomplemented
53#16838044C22124yescomplemented
54#16838043C22112yescomplemented
55#16838042C22124yescomplemented
56#16838041C22124yescomplemented
57#16838040C22112yescomplemented
58#16838039C22124yescomplemented
59#16837978C2213yescomplemented
60#16837977C2216yescomplemented
61#16837976C2213yescomplemented
62#16837975C22112yescomplemented
63#16837974C22112yescomplemented
64#16837973C2213yescomplemented
65#16837972C2216yescomplemented
66#16837971C2213yescomplemented
67#16837970C2216yescomplemented
68#16837969C2213yescomplemented
69#16837968C22112yescomplemented
70#16837967C22112yescomplemented
71#16837966C2213yescomplemented
72#16837965C2216yescomplemented
73#16837953C2213yescomplemented
74#16837952C2213yescomplemented
75#16837951C2213yescomplemented
76#16837951C2213yescomplemented
77#16837950C2213yescomplemented
78#16837949C22112yescomplemented
79#16837948C2213yescomplemented
80#16837948C2213yescomplemented
81#16837947C22112yescomplemented
82C4⋊Q8×D59C2213yescomplemented
83#127×D59C2213yescomplemented
84C2×#14273716C2213yescomplemented
85C2×#14273715C2213yescomplemented
86C2×#14273714C2213yescomplemented
87C2×#14273713C22112yescomplemented
88#124×D59C22112yescomplemented
89#124×D59C2213yescomplemented
90#124×D59C2216yescomplemented
91#124×D59C2211yescharacteristic, complemented
92#124×D59C22112yescomplemented
93#124×D59C2216yescomplemented
94#124×D59C2216yescomplemented
95#123×D59C22112yescomplemented
96C22⋊Q8×D59C22112yescomplemented
97#121×D59C22112yescomplemented
98#121×D59C22112yescomplemented
99#120×D59C22112yescomplemented
100#41×Dic59C2211yescharacteristic, complemented
101C4×#11745689C2212yescomplemented
102C4×#11745685C2213yescomplemented
103#16837870C2213yescomplemented
104C4×#11745687C2216yescomplemented
105C4×Q8×D59C2212yescomplemented
106C4×D4×D59C2216yescomplemented
107C4×D4×D59C22112yescomplemented
108#117×D59C2213yescomplemented
109C2×C22⋊C4×D59C22112yescomplemented
110C2×C42×D59C2213yescomplemented
111C2×2−1+4×C59C2211yescharacteristic, complemented
112C2×H(5,𝔽2)×C59C2211yescharacteristic, complemented
113C59×#548C2214yescomplemented
114C59×#546C22112yescomplemented
115C59×#536C2213yescomplemented
116C59×#535C2213yescomplemented
117C59×#532C2213yescomplemented
118C2×#124×C59C2213yescomplemented
119C4×#41×C59C2211yescharacteristic, complemented
120C24×D59C2316yes—
121#14273775—216no—
122#14273775—224no—
123#14273774—28no—
124#14273774—248no—
125#14273774—224no—
126#14273773—28no—
127#14273773—216no—
128#14273773—224no—
129#14273772—248no—
130#14273772—224no—
131C2×#11745689C2313yes—
132C2×#11745689C2312yes—
133C2×#11745689C2311yescharacteristic
134C2×#11745689C2313yescomplemented
135C2×#11745689C2316yescomplemented
136C2×#11745685C2313yes—
137C2×#11745685C2316yes—
138C2×#11745685C2316yes—
139C2×#11745685C2313yes—
140C2×#11745685C2313yescomplemented
141C2×#11745685C2316yescomplemented
142C2×#11745685C23112yescomplemented
143C2×#11745685C2316yescomplemented
144C2×#11745687C2316yes—
145C2×#11745687C2313yes—
146C2×#11745687C2316yes—
147C2×#11745687C2313yes—
148C2×#11745687C2316yescomplemented
149C2×#11745687C2313yescomplemented
150C2×#11745687C23112yescomplemented
151C2×#11745687C2316yescomplemented
152#41×D59—216no—
153#41×D59—248no—
154#41×D59—224no—
155#41×D59—224no—
156#41×D59D4116yescomplemented
157C22×Dic118C2316yescomplemented
158C22×Dic118C2313yescomplemented
159C22×Dic118C2316yescomplemented
160C2×Q8×D59—216no—
161C2×Q8×D59—224no—
162C2×Q8×D59C2316yes—
163C2×Q8×D59C2313yes—
164C2×Q8×D59C2311yescharacteristic
165C2×Q8×D59C2311yescharacteristic
166C2×Q8×D59C2316yescomplemented
167C2×Q8×D59C2316yescomplemented
168C2×Q8×D59C2312yescomplemented
169C2×Q8×D59C2316yescomplemented
170C22×D236C2313yes—
171C22×D236C2316yes—
172C22×C22⋊D59C2316yes—
173C22×C22⋊D59C23112yes—
174C2×D4×D59—248no—
175C2×D4×D59—224no—
176C2×D4×D59C2316yes—
177C2×D4×D59C2316yes—
178C2×D4×D59C2316yes—
179C2×D4×D59C2313yes—
180C2×D4×D59C2316yes—
181C2×D4×D59C2316yes—
182C2×D4×D59C2311yescharacteristic
183C2×D4×D59C2316yes—
184C2×D4×D59C23112yes—
185C2×D4×D59C2316yes—
186C2×D4×D59C23112yes—
187C2×D4×D59C2313yes—
188C22×C4×D59C2316yes—
189C22×C4×D59C2316yes—
190C22×C4×D59C2316yes—
191C22×C4×D59C2316yes—
192C22×C4×D59C2313yes—
193#14273727C2313yescomplemented
194#14273726C23112yescomplemented
195#14273725C2313yescomplemented
196#14273725C2313yescomplemented
197#14273724C2313yescomplemented
198#14273723C23112yescomplemented
199#14273723C2313yescomplemented
200#14273723C2313yescomplemented
201#14273716C2313yescomplemented
202#14273716C2316yescomplemented
203#14273716C23112yescomplemented
204#14273716C2311yescharacteristic, complemented
205#14273715C2313yescomplemented
206#14273715C2316yescomplemented
207#14273715C23112yescomplemented
208#14273715C2311yescharacteristic, complemented
209#14273714C2313yescomplemented
210#14273714C2316yescomplemented
211#14273714C23112yescomplemented
212#14273714C2311yescharacteristic, complemented
213#14273713C23112yescomplemented
214#14273713C23124yescomplemented
215#14273713C23124yescomplemented
216#14273713C23124yescomplemented
217#14273713C2314yescomplemented
218#14273712C23124yescomplemented
219#14273711C23112yescomplemented
220#14273710C23112yescomplemented
221#14273709C23124yescomplemented
222#14273708C23112yescomplemented
223#14273707C23112yescomplemented
224#14273706C23112yescomplemented
225#14273705C23124yescomplemented
226#14273704C23124yescomplemented
227#14273703C23112yescomplemented
228#14273702C23112yescomplemented
229#14273702C23112yescomplemented
230#14273701C23112yescomplemented
231#14273701C23112yescomplemented
232#14273700C23112yescomplemented
233#14273700C23112yescomplemented
234#14273700C23124yescomplemented
235#14273699C23112yescomplemented
236#14273699C23112yescomplemented
237#14273699C23124yescomplemented
238#14273698C23112yescomplemented
239#14273698C23112yescomplemented
240#14273697C23112yescomplemented
241#14273697C23124yescomplemented
242#14273696C23112yescomplemented
243#14273695C23124yescomplemented
244#14273695C23112yescomplemented
245Q8×Dic59C2312yescomplemented
246C4×Dic118C2316yescomplemented
247#14273692C2316yescomplemented
248C4×D236C23112yescomplemented
249C4×D236C2316yescomplemented
250D4×Dic59C23112yescomplemented
251D4×Dic59C2316yescomplemented
252#14273689C23112yescomplemented
253#14273689C2316yescomplemented
254C4×C22⋊D59C23112yescomplemented
255C4×C22⋊D59C23112yescomplemented
256C4×C22⋊D59C23112yescomplemented
257(C22⋊D59)⋊C4C23112yescomplemented
258(C22⋊D59)⋊C4C23112yescomplemented
259(C22⋊D59)⋊C4C23112yescomplemented
260#14273686C2313yescomplemented
261#14273685C2316yescomplemented
262#14273684C2316yescomplemented
263#14273683C2316yescomplemented
264C4⋊C4×D59C2316yes—
265C4⋊C4×D59C23112yes—
266C2×C22⋊Dic59C23112yescomplemented
267C2×(C2×D59)⋊C4C23112yescomplemented
268C2×(C2×D59)⋊C4C23112yescomplemented
269C22⋊C4×D59C2314yes—
270C22⋊C4×D59C23124yes—
271C22⋊C4×D59C23112yes—
272C22⋊C4×D59C2316yes—
273C22⋊C4×D59C23124yescomplemented
274C22⋊C4×D59C23124yescomplemented
275C2×C4×Dic59C2316yescomplemented
276C2×C4×Dic59C2313yescomplemented
277C42×D59C2311yescharacteristic
278C42×D59C2313yes—
279C42×D59C2316yes—
280C42×D59C2316yescomplemented
281C42×D59C2313yescomplemented
282C42×D59C2313yescomplemented
2832−1+4×C59—28no—
284H(5,𝔽2)×C59—28no—
285C2×#41×C59C2313yes—
286C2×#41×C59C2312yes—
287C2×#41×C59C2311yescharacteristic
288C2×#41×C59C2313yescomplemented
289C2×#41×C59C2316yescomplemented
290C22×Q8×C59C2313yescomplemented
291C22×Q8×C59C2312yescomplemented
292C22×D4×C59C2313yes—
293C22×D4×C59C2316yes—
294C4⋊Q8×C59C2313yescomplemented
295#127×C59C2313yescomplemented
296#124×C59C2313yescomplemented
297#124×C59C2316yescomplemented
298#124×C59C23112yescomplemented
299#124×C59C2311yescharacteristic, complemented
300#123×C59C23112yescomplemented
301C22⋊Q8×C59C23112yescomplemented
302#121×C59C23112yescomplemented
303#121×C59C23112yescomplemented
304#120×C59C23112yescomplemented
305C4×Q8×C59C2312yescomplemented
306C4×D4×C59C23112yescomplemented
307C4×D4×C59C2316yescomplemented
308#117×C59C2313yescomplemented
309C2×C22⋊C4×C59C23112yescomplemented
310C2×C42×C59C2313yescomplemented
311C24×C59C2416yes—
312C23×D59—224no—
313C23×D59—424no—
314C23×D59C2416yes—
315C23×D59C2412yes—
316C23×D59C2413yes—
317C23×D59C24112yes—
318C23×D59C2416yes—
319#41×C59—28no—
320#41×C59—224no—
321#41×C59—212no—
322#41×C59—212no—
323#41×C59C2×D418yescomplemented
324C2×Q8×C59—28no—
325C2×Q8×C59—212no—
326C2×Q8×C59C2416yes—
327C2×Q8×C59C2413yes—
328C2×Q8×C59C2411yescharacteristic
329C2×Q8×C59C2411yescharacteristic
330C2×D4×C59—224no—
331C2×D4×C59—212no—
332C2×D4×C59C2416yes—
333C2×D4×C59C2416yes—
334C2×D4×C59C2416yes—
335C2×D4×C59C2413yes—
336C2×D4×C59C2411yescharacteristic
337C2×D4×C59C24112yes—
338C2×D4×C59C2413yes—
339C22×C4×C59C2416yes—
340C22×C4×C59C2416yes—
341C22×C4×C59C2416yes—
342C22×C4×C59C2416yes—
343C22×C4×C59C2413yes—
344C2×C22⋊D59—248no—
345C2×C22⋊D59—224no—
346C2×C22⋊D59C2416yes—
347C2×C22⋊D59C2416yes—
348C2×C22⋊D59C2416yes—
349C2×C22⋊D59C24112yes—
350C2×C22⋊D59C2416yes—
351C2×C22⋊D59C2416yes—
352C2×C22⋊D59C2412yes—
353C2×C22⋊D59C24112yes—
354C2×C22⋊D59C24112yes—
355C2×C22⋊D59C2416yes—
356C22×Dic59C2416yes—
357C22×Dic59C2416yes—
358C22×Dic59C2416yes—
359C22×Dic59C2416yes—
360C22×Dic59C2413yes—
361#11745689—28no—
362#11745689—224no—
363#11745689—212no—
364#11745689—212no—
365#11745689C2×D418yescomplemented
366Q8×D59—28no—
367Q8×D59—224no—
368Q8×D59—212no—
369Q8×D59—224no—
370Q8×D59—224no—
371Q8×D59—24no—
372Q8×D59—224no—
373Q8×D59C2×D418yes—
374#11745687—224no—
375#11745687—248no—
376#11745687—224no—
377#11745687—224no—
378#11745687—212no—
379#11745687—212no—
380#11745687—224no—
381#11745687C2×D4124yescomplemented
382D4×D59—224no—
383D4×D59—224no—
384D4×D59—224no—
385D4×D59—248no—
386D4×D59—224no—
387D4×D59—224no—
388D4×D59—212no—
389D4×D59—224no—
390D4×D59—224no—
391D4×D59—24no—
392D4×D59—424no—
393D4×D59C2×D4124yes—
394#11745685—212no—
395#11745685—212no—
396#11745685—248no—
397#11745685—224no—
398#11745685—224no—
399#11745685—224no—
400#11745685—224no—
401#11745685C2×D4124yescomplemented
402C2×D236—212no—
403C2×D236—224no—
404C2×D236C2416yes—
405C2×D236C2416yes—
406C2×D236C2416yes—
407C2×D236C2413yes—
408C2×D236C2411yescharacteristic
409C2×D236C24112yes—
410C2×D236C2413yes—
411C2×C4×D59—224no—
412C2×C4×D59—224no—
413C2×C4×D59—224no—
414C2×C4×D59—412no—
415C2×C4×D59C2×D4124yes—
416C2×C4×D59C2412yes—
417C2×C4×D59C2416yes—
418C2×C4×D59C2416yes—
419C2×C4×D59C2412yes—
420C2×C4×D59C24112yes—
421C2×C4×D59C2416yes—
422C2×C4×D59C2416yes—
423C2×C4×D59C2416yes—
424C2×C4×D59C2416yes—
425C2×C4×D59C2416yes—
426C2×C4×D59C2416yes—
427C2×C4×D59C2411yescharacteristic
428C2×C4×D59C2413yes—
429C2×C4×D59C2413yes—
430C2×C4×D59C2413yes—
431C2×Dic118—212no—
432C2×Dic118—224no—
433C2×Dic118—224no—
434C2×Dic118C24112yes—
435C2×Dic118C2416yes—
436C2×Dic118C2416yes—
437C2×Dic118C2412yes—
438C2×Dic118C2413yes—
439C2×Dic118C2411yescharacteristic
440C2×Dic118C2413yes—
441C4⋊C4×C59C2416yes—
442C4⋊C4×C59C24112yes—
443C22⋊C4×C59C24112yes—
444C22⋊C4×C59C24124yes—
445C22⋊C4×C59C2416yes—
446C22⋊C4×C59C2414yes—
447C42×C59C2411yescharacteristic
448C42×C59C2413yes—
449C42×C59C2416yes—
450C22⋊Dic59C24112yes—
451C22⋊Dic59C24124yes—
452C22⋊Dic59C2416yes—
453C22⋊Dic59C2414yes—
454(C2×D59)⋊C4C24112yes—
455(C2×D59)⋊C4C24112yes—
456(C2×D59)⋊C4C24124yes—
457(C2×D59)⋊C4C24124yes—
458(C2×D59)⋊C4C24112yes—
459(C2×D59)⋊C4C2414yes—
460(C2×D59)⋊C4C2414yes—
461C4⋊Dic59C2416yes—
462C4⋊Dic59C24112yes—
463Dic59⋊C4C24112yes—
464Dic59⋊C4C24112yes—
465Dic59⋊C4C24112yes—
466C4×Dic59C2412yes—
467C4×Dic59C2411yescharacteristic
468C4×Dic59C2416yes—
469C4×Dic59C2413yes—
470C4×Dic59C2416yes—
471C4×Dic59C2416yes—
472C4×Dic59C2416yes—
473C23×C59—212no—
474C23×C59—412no—
475C23×C59C2516yes—
476C23×C59C2512yes—
477C23×C59C2513yes—
478C22×D59—212no—
479C22×D59—212no—
480C22×D59—24no—
481C22×D59—212no—
482C22×D59—28no—
483C22×D59—224no—
484C22×D59—224no—
485C22×D59—424no—
486C22×D59—412no—
487C22×D59—848no—
488C22×D59C22×D4112yes—
489C22×D59C2516yes—
490C22×D59C2512yes—
491C22×D59C2513yes—
492C22×D59C2511yescharacteristic
493Q8×C59—26no—
494Q8×C59—212no—
495Q8×C59—22no—
496Q8×C59C22×D414yes—
497D4×C59—212no—
498D4×C59—212no—
499D4×C59—26no—
500D4×C59—212no—
501D4×C59—22no—
502D4×C59—412no—
503D4×C59C22×D4112yes—
504C2×C4×C59—212no—
505C2×C4×C59—212no—
506C2×C4×C59—212no—
507C2×C4×C59—46no—
508C2×C4×C59C22×D4112yes—
509C2×C4×C59C2512yes—
510C2×C4×C59C2516yes—
511C2×C4×C59C2512yes—
512C2×C4×C59C2516yes—
513C2×C4×C59C2511yescharacteristic
514C2×C4×C59C2513yes—
515C22⋊D59—212no—
516C22⋊D59—212no—
517C22⋊D59—212no—
518C22⋊D59—212no—
519C22⋊D59—24no—
520C22⋊D59—212no—
521C22⋊D59—224no—
522C22⋊D59—412no—
523C22⋊D59—412no—
524C22⋊D59C22×D4124yes—
525C2×Dic59—212no—
526C2×Dic59—212no—
527C2×Dic59—212no—
528C2×Dic59—46no—
529C2×Dic59C22×D4112yes—
530C2×Dic59C2512yes—
531C2×Dic59C2516yes—
532C2×Dic59C2512yes—
533C2×Dic59C2516yes—
534C2×Dic59C2511yescharacteristic
535C2×Dic59C2513yes—
536D236—212no—
537D236—212no—
538D236—26no—
539D236—212no—
540D236—22no—
541D236—412no—
542D236C22×D4112yes—
543C4×D59—24no—
544C4×D59—212no—
545C4×D59—224no—
546C4×D59—24no—
547C4×D59—212no—
548C4×D59—212no—
549C4×D59—212no—
550C4×D59—212no—
551C4×D59—212no—
552C4×D59—46no—
553C4×D59—46no—
554C4×D59C22×D4112yes—
555C4×D59C22×D414yes—
556C4×D59C22×D4112yes—
557C4×D59C22×D4112yes—
558Dic118—26no—
559Dic118—212no—
560Dic118—22no—
561Dic118—212no—
562Dic118—224no—
563Dic118—24no—
564Dic118C22×D4112yes—
565C2×#3500—591nomaximal, Sylow
566C22×C59—26no—
567C22×C59—22no—
568C22×C59—26no—
569C22×C59—24no—
570C22×C59—212no—
571C22×C59—812no—
572C22×C59C23×D416yes—
573C22×C59C2611yescharacteristic
574C2×D59—26no—
575C2×D59—224no—
576C2×D59—22no—
577C2×D59—26no—
578C2×D59—24no—
579C2×D59—212no—
580C2×D59—48no—
581C2×D59—424no—
582C2×D59—824no—
583C2×D59—812no—
584C2×D59C23×D416yes—
585C2×D59C23×D412yes—
586C2×D59#58514yes—
587C4×C59—26no—
588C4×C59—22no—
589C4×C59—22no—
590C4×C59—26no—
591C4×C59C23×D412yes—
592C4×C59C23×D416yes—
593Dic59—26no—
594Dic59—22no—
595Dic59—22no—
596Dic59—26no—
597Dic59C23×D412yes—
598Dic59C23×D416yes—
599C22×2−1+4—591no—
600C22×H(5,𝔽2)—591no—
601#3500—591no—
602#3500—591no—
603#3500—594no—
604#3500—5912no—
605#3500—593no—
606#3500—593no—
607#3500—593no—
608#3500—593no—
609#3500—591no—
610#3500D5911yescharacteristic, direct product factor
611C2×#548—594no—
612C2×#546—5912no—
613C2×#536—593no—
614C2×#535—593no—
615C2×#532—593no—
616C22×#124—593no—
617C2×C4×#41—591no—
618C2×C59—26no—
619C2×C59—46no—
620C2×C59—42no—
621C2×C59C24×D411yescharacteristic
622C2×C59C2×#58512yes—
623D59—26no—
624D59—42no—
625D59—46no—
626D59#350014yesdirect product factor
627C2×2−1+4—591no—
628C2×2−1+4—593no—
629C2×2−1+4—596no—
630C2×2−1+4—592no—
631C2×2−1+4—593no—
632C2×2−1+4—11816no—
633C2×2−1+4C2×D5911yescharacteristic, complemented
634C2×H(5,𝔽2)—592no—
635C2×H(5,𝔽2)—593no—
636C2×H(5,𝔽2)—591no—
637C2×H(5,𝔽2)—596no—
638C2×H(5,𝔽2)—593no—
639C2×H(5,𝔽2)—11816no—
640C2×H(5,𝔽2)C2×D5911yescharacteristic, complemented
641C22×#41—591no—
642C22×#41—593no—
643C22×#41—592no—
644C22×#41—593no—
645C22×#41—596no—
646C23×Q8—593no—
647C23×Q8—592no—
648C23×D4—593no—
649C23×D4—596no—
650#548—594no—
651#548—594no—
652#548—5912no—
653#548—5912no—
654#548—5912no—
655#548—594no—
656#548—5912no—
657#548C2×D5914yescomplemented
658#546—5912no—
659#546—5912no—
660#546—5912no—
661#546—5924no—
662#546—5912no—
663#546—5924no—
664#546—5912no—
665#546—5924no—
666#546—5912no—
667#546—5912no—
668#546—5924no—
669#546C2×D59112yescomplemented
670#536—593no—
671#536—593no—
672#536—596no—
673#536—596no—
674#536—5912no—
675#536—5912no—
676#536—593no—
677#536C2×D5913yescomplemented
678#535—593no—
679#535—593no—
680#535—596no—
681#535—596no—
682#535—5912no—
683#535—5912no—
684#535—593no—
685#535C2×D5913yescomplemented
686#532—593no—
687#532—593no—
688#532—593no—
689#532—593no—
690#532—593no—
691#532—593no—
692#532—5912no—
693#532—5912no—
694#532—593no—
695#532C2×D5913yescomplemented
696C2×C4⋊Q8—593no—
697C2×#127—593no—
698C2×#124—593no—
699C2×#124—593no—
700C2×#124—593no—
701C2×#124—596no—
702C2×#124—5912no—
703C2×#124—596no—
704C2×#124—596no—
705C2×#124—5912no—
706C2×#124—591no—
707C2×#124—5912no—
708C2×#124—593no—
709C2×#124C2×D5913yescomplemented
710C2×#123—5912no—
711C2×C22⋊Q8—5912no—
712C2×#121—5912no—
713C2×#121—5912no—
714C2×#120—5912no—
715C4×#41—591no—
716C4×#41—592no—
717C4×#41—596no—
718C4×#41—593no—
719C4×#41—593no—
720C4×#41C2×D5911yescharacteristic, complemented
721C2×C4×Q8—592no—
722C2×C4×D4—596no—
723C2×C4×D4—5912no—
724C2×#117—593no—
725C22×C22⋊C4—5912no—
726C22×C42—593no—
727C59C2×#350011yescharacteristic, complemented, Sylow
728C25—596no—
7292−1+4—28no—
7302−1+4—11816no—
7312−1+4—11824no—
7322−1+4—11848no—
7332−1+4—11824no—
7342−1+4—1188no—
735H(5,𝔽2)—28no—
736H(5,𝔽2)—11848no—
737H(5,𝔽2)—11824no—
738H(5,𝔽2)—11816no—
739H(5,𝔽2)—11824no—
740H(5,𝔽2)—1188no—
741C2×#41—5916no—
742C2×#41—591no—
743C2×#41—593no—
744C2×#41—593no—
745C2×#41—596no—
746C2×#41—592no—
747C2×#41—593no—
748C2×#41—596no—
749C2×#41—593no—
750C2×#41—596no—
751C2×#41—593no—
752C2×#41—596no—
753C2×#41—5912no—
754C2×#41—596no—
755C2×#41—593no—
756C2×#41—596no—
757C2×#41—593no—
758C2×#41—596no—
759C2×#41—593no—
760C2×#41—596no—
761C2×#41—5912no—
762C2×#41—596no—
763C2×#41—11824no—
764C2×#41—11824no—
765C2×#41—11848no—
766C2×#41—11816no—
767C2×#41C22×D5913yes—
768C2×#41C22×D5912yes—
769C2×#41C22×D5911yescharacteristic
770C2×#41C22×D5913yescomplemented
771C2×#41C22×D5916yescomplemented
772C22×Q8—591no—
773C22×Q8—596no—
774C22×Q8—593no—
775C22×Q8—596no—
776C22×Q8—596no—
777C22×Q8—591no—
778C22×Q8—596no—
779C22×Q8—592no—
780C22×Q8—596no—
781C22×Q8—593no—
782C22×Q8—596no—
783C22×Q8—11824no—
784C22×Q8—11816no—
785C22×Q8C22×D5913yescomplemented
786C22×Q8C22×D5912yescomplemented
787C22×D4—593no—
788C22×D4—596no—
789C22×D4—5912no—
790C22×D4—596no—
791C22×D4—596no—
792C22×D4—596no—
793C22×D4—593no—
794C22×D4—596no—
795C22×D4—596no—
796C22×D4—591no—
797C22×D4—5912no—
798C22×D4—596no—
799C22×D4—596no—
800C22×D4—5912no—
801C22×D4—593no—
802C22×D4—596no—
803C22×D4—11824no—
804C22×D4—11848no—
805C22×D4C22×D5913yes—
806C22×D4C22×D5916yes—
807C23×C4—593no—
808C23×C4—596no—
809C23×C4—596no—
810C23×C4—596no—
811C23×C4—596no—
812C4⋊Q8—593no—
813C4⋊Q8—593no—
814C4⋊Q8—5912no—
815C4⋊Q8—593no—
816C4⋊Q8C22×D5913yescomplemented
817#127—5912no—
818#127—593no—
819#127—593no—
820#127—593no—
821#127C22×D5913yescomplemented
822#124—593no—
823#124—596no—
824#124—5912no—
825#124—591no—
826#124—593no—
827#124—596no—
828#124—5912no—
829#124—591no—
830#124—5912no—
831#124—5924no—
832#124—5924no—
833#124—5924no—
834#124—594no—
835#124—593no—
836#124—596no—
837#124—5912no—
838#124—591no—
839#124C22×D5913yescomplemented
840#124C22×D5916yescomplemented
841#124C22×D59112yescomplemented
842#124C22×D5911yescharacteristic, complemented
843#123—5912no—
844#123—5912no—
845#123—5924no—
846#123—5924no—
847#123—5912no—
848#123C22×D59112yescomplemented
849C22⋊Q8—5912no—
850C22⋊Q8—5912no—
851C22⋊Q8—5924no—
852C22⋊Q8—5912no—
853C22⋊Q8—5924no—
854C22⋊Q8C22×D59112yescomplemented
855#121—5912no—
856#121—5912no—
857#121—5912no—
858#121—5912no—
859#121—5924no—
860#121—5912no—
861#121—5912no—
862#121—5912no—
863#121—5912no—
864#121—5912no—
865#121—5912no—
866#121—5924no—
867#121C22×D59112yescomplemented
868#121C22×D59112yescomplemented
869#120—5912no—
870#120—5924no—
871#120—5912no—
872#120—5912no—
873#120—5924no—
874#120C22×D59112yescomplemented
875C4×Q8—592no—
876C4×Q8—596no—
877C4×Q8—596no—
878C4×Q8C22×D5912yescomplemented
879C4×D4—596no—
880C4×D4—5912no—
881C4×D4—5912no—
882C4×D4—5912no—
883C4×D4—5912no—
884C4×D4—596no—
885C4×D4—5912no—
886C4×D4—5912no—
887C4×D4—5912no—
888C4×D4—5912no—
889C4×D4—596no—
890C4×D4—5912no—
891C4×D4C22×D5916yescomplemented
892C4×D4C22×D59112yescomplemented
893#117—593no—
894#117—596no—
895#117—596no—
896#117—596no—
897#117C22×D5913yescomplemented
898C2×C4⋊C4—596no—
899C2×C4⋊C4—5912no—
900C2×C22⋊C4—5912no—
901C2×C22⋊C4—5912no—
902C2×C22⋊C4—5912no—
903C2×C22⋊C4—5912no—
904C2×C22⋊C4—5924no—
905C2×C22⋊C4—5924no—
906C2×C22⋊C4—5924no—
907C2×C22⋊C4—596no—
908C2×C22⋊C4—594no—
909C2×C22⋊C4C22×D59112yescomplemented
910C2×C42—596no—
911C2×C42—593no—
912C2×C42—593no—
913C2×C42—596no—
914C2×C42—596no—
915C2×C42—593no—
916C2×C42—593no—
917C2×C42—591no—
918C2×C42C22×D5913yescomplemented
919C24—593no—
920C24—596no—
921C24—592no—
922C24—5912no—
923C24—596no—
924C24—11824no—
925C24—23624no—
926C24C23×D5916yes—
927#41—28no—
928#41—224no—
929#41—212no—
930#41—212no—
931#41—598no—
932#41—5924no—
933#41—5924no—
934#41—11824no—
935#41—11824no—
936#41—11848no—
937#41—11824no—
938#41—11824no—
939#41—11824no—
940#41—11812no—
941#41—11824no—
942#41—11812no—
943#41—11812no—
944#41—11812no—
945#41—11848no—
946#41—11824no—
947#41—11824no—
948#41—1188no—
949#41—11824no—
950#41—11812no—
951#41—11812no—
952#41D4×D5918yescomplemented
953C2×Q8—28no—
954C2×Q8—212no—
955C2×Q8—598no—
956C2×Q8—593no—
957C2×Q8—5912no—
958C2×Q8—596no—
959C2×Q8—596no—
960C2×Q8—593no—
961C2×Q8—592no—
962C2×Q8—591no—
963C2×Q8—11824no—
964C2×Q8—11824no—
965C2×Q8—11812no—
966C2×Q8—11824no—
967C2×Q8—11824no—
968C2×Q8—11824no—
969C2×Q8—1184no—
970C2×Q8—11824no—
971C2×Q8—1188no—
972C2×Q8—11812no—
973C2×Q8C23×D5916yes—
974C2×Q8C23×D5913yes—
975C2×Q8C23×D5911yescharacteristic
976C2×Q8C23×D5911yescharacteristic
977C2×D4—224no—
978C2×D4—212no—
979C2×D4—596no—
980C2×D4—5924no—
981C2×D4—596no—
982C2×D4—596no—
983C2×D4—596no—
984C2×D4—596no—
985C2×D4—5912no—
986C2×D4—596no—
987C2×D4—592no—
988C2×D4—5912no—
989C2×D4—5912no—
990C2×D4—593no—
991C2×D4—596no—
992C2×D4—596no—
993C2×D4—596no—
994C2×D4—593no—
995C2×D4—591no—
996C2×D4—5912no—
997C2×D4—11824no—
998C2×D4—11812no—
999C2×D4—11824no—
1000C2×D4—11824no—
1001C2×D4—11824no—
1002C2×D4—1184no—
1003C2×D4—11824no—
1004C2×D4—11848no—
1005C2×D4—11824no—
1006C2×D4—11824no—
1007C2×D4—11824no—
1008C2×D4—11848no—
1009C2×D4—11824no—
1010C2×D4—11812no—
1011C2×D4—23624no—
1012C2×D4C23×D5916yes—
1013C2×D4C23×D5916yes—
1014C2×D4C23×D5916yes—
1015C2×D4C23×D5913yes—
1016C2×D4C23×D5911yescharacteristic
1017C2×D4C23×D59112yes—
1018C2×D4C23×D5913yes—
1019C22×C4—593no—
1020C22×C4—5924no—
1021C22×C4—591no—
1022C22×C4—593no—
1023C22×C4—593no—
1024C22×C4—593no—
1025C22×C4—596no—
1026C22×C4—596no—
1027C22×C4—596no—
1028C22×C4—596no—
1029C22×C4—592no—
1030C22×C4—596no—
1031C22×C4—596no—
1032C22×C4—5912no—
1033C22×C4—592no—
1034C22×C4—596no—
1035C22×C4—596no—
1036C22×C4—596no—
1037C22×C4—596no—
1038C22×C4—596no—
1039C22×C4—596no—
1040C22×C4—11824no—
1041C22×C4—11824no—
1042C22×C4—11824no—
1043C22×C4—23612no—
1044C22×C4C23×D5916yes—
1045C22×C4C23×D5916yes—
1046C22×C4C23×D5916yes—
1047C22×C4C23×D5916yes—
1048C22×C4C23×D5913yes—
1049C4⋊C4—5912no—
1050C4⋊C4—596no—
1051C4⋊C4—5912no—
1052C4⋊C4—5912no—
1053C4⋊C4—5912no—
1054C4⋊C4C23×D5916yes—
1055C4⋊C4C23×D59112yes—
1056C22⋊C4—5912no—
1057C22⋊C4—5924no—
1058C22⋊C4—596no—
1059C22⋊C4—594no—
1060C22⋊C4—5912no—
1061C22⋊C4—5912no—
1062C22⋊C4—5924no—
1063C22⋊C4—5924no—
1064C22⋊C4—5912no—
1065C22⋊C4—594no—
1066C22⋊C4—594no—
1067C22⋊C4C23×D59112yes—
1068C22⋊C4C23×D59124yes—
1069C22⋊C4C23×D5916yes—
1070C22⋊C4C23×D5914yes—
1071C42—592no—
1072C42—591no—
1073C42—596no—
1074C42—593no—
1075C42—596no—
1076C42—596no—
1077C42—596no—
1078C42C23×D5911yescharacteristic
1079C42C23×D5913yes—
1080C42C23×D5916yes—
1081C23—212no—
1082C23—412no—
1083C23—591no—
1084C23—5912no—
1085C23—593no—
1086C23—596no—
1087C23—592no—
1088C23—11812no—
1089C23—11824no—
1090C23—1184no—
1091C23—11812no—
1092C23—1188no—
1093C23—11824no—
1094C23—11812no—
1095C23—47248no—
1096C23—23612no—
1097C23—23624no—
1098C23C24×D5916yes—
1099C23C24×D5912yes—
1100C23C24×D5913yes—
1101Q8—212no—
1102Q8—26no—
1103Q8—22no—
1104Q8—5912no—
1105Q8—11812no—
1106Q8—11824no—
1107Q8—1184no—
1108Q8—11812no—
1109Q8—1186no—
1110Q8—1182no—
1111Q8C2×D4×D5914yes—
1112D4—212no—
1113D4—212no—
1114D4—212no—
1115D4—26no—
1116D4—22no—
1117D4—412no—
1118D4—5924no—
1119D4—5912no—
1120D4—11812no—
1121D4—11812no—
1122D4—11812no—
1123D4—11824no—
1124D4—1184no—
1125D4—11812no—
1126D4—11812no—
1127D4—11812no—
1128D4—11812no—
1129D4—11812no—
1130D4—1186no—
1131D4—1182no—
1132D4—23612no—
1133D4—23612no—
1134D4—23612no—
1135D4C2×D4×D59112yes—
1136C2×C4—212no—
1137C2×C4—212no—
1138C2×C4—212no—
1139C2×C4—46no—
1140C2×C4—5912no—
1141C2×C4—591no—
1142C2×C4—593no—
1143C2×C4—594no—
1144C2×C4—5912no—
1145C2×C4—5912no—
1146C2×C4—5912no—
1147C2×C4—592no—
1148C2×C4—596no—
1149C2×C4—596no—
1150C2×C4—592no—
1151C2×C4—11812no—
1152C2×C4—11812no—
1153C2×C4—1184no—
1154C2×C4—11812no—
1155C2×C4—11824no—
1156C2×C4—1184no—
1157C2×C4—11812no—
1158C2×C4—11812no—
1159C2×C4—11812no—
1160C2×C4—11812no—
1161C2×C4—11812no—
1162C2×C4—11812no—
1163C2×C4—2366no—
1164C2×C4—2366no—
1165C2×C4—2366no—
1166C2×C4C2×D4×D59112yes—
1167C2×C4C24×D5912yes—
1168C2×C4C24×D5916yes—
1169C2×C4C24×D5916yes—
1170C2×C4C24×D5912yes—
1171C2×C4C24×D5911yescharacteristic
1172C2×C4C24×D5913yes—
1173C22—26no—
1174C22—22no—
1175C22—26no—
1176C22—24no—
1177C22—212no—
1178C22—812no—
1179C22—592no—
1180C22—594no—
1181C22—596no—
1182C22—11824no—
1183C22—1186no—
1184C22—1182no—
1185C22—1186no—
1186C22—1184no—
1187C22—11812no—
1188C22—47212no—
1189C22—47224no—
1190C22—23624no—
1191C22—2368no—
1192C22C22×D4×D5916yes—
1193C22C25×D5911yescharacteristic
1194C4—22no—
1195C4—26no—
1196C4—22no—
1197C4—26no—
1198C4—592no—
1199C4—596no—
1200C4—1182no—
1201C4—1186no—
1202C4—1182no—
1203C4—1186no—
1204C4C22×D4×D5916yes—
1205C4C22×D4×D5912yes—
1206C2—26no—
1207C2—46no—
1208C2—42no—
1209C2—594no—
1210C2—1186no—
1211C2—2366no—
1212C2—2362no—
1213C2C23×D4×D5911yescharacteristic
1214C2#585×D5912yes—
subgroupG/H
center, FrattiniC22C25×D59
commutator, socle, cosocleC22×C59C26
FittingC59×#3500C2
hypercenter#3500D59
hypocenterC59C2×#3500
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C22 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. C2×2−1+4×D59C2semidirect
2. C2×H(5,𝔽2)×D59C2semidirect
3. #21437890C2semidirect
4. #21437889C2semidirect
5. #21437888C2semidirect
6. #21437887C2semidirect
7. #21437886C2semidirect
8. #21437885C2semidirect
9. #21437884C2semidirect
10. #21437883C2semidirect
11. #21437882C2semidirect
12. #548×D59C2semidirect
13. #546×D59C2semidirect
14. #536×D59C2semidirect
15. #535×D59C2semidirect
16. #532×D59C2semidirect
17. C2×#124×D59C2semidirect
18. C4×#41×D59C2semidirect
19. C59×#3500C2semidirect
20. C2×#14273775C22semidirect
21. C2×#14273775C22semidirect
22. C2×#14273774C22semidirect
23. C2×#14273774C22semidirect
24. C2×#14273774C22semidirect
26. C2×#14273773C22semidirect
27. C2×#14273773C22semidirect
28. C2×#14273773C22semidirect
29. C2×#14273772C22semidirect
30. C2×#14273772C22semidirect
35. C2×#41×D59C22semidirect
36. C2×#41×D59C22semidirect
37. C22×Q8×D59C22semidirect
38. C22×Q8×D59C22semidirect
41. #16838064C22semidirect
42. #16838063C22semidirect
43. #16838062C22semidirect
44. #16838061C22semidirect
45. #16838060C22semidirect
46. #16838059C22semidirect
47. #16838058C22semidirect
48. #16838049C22semidirect
49. #16838048C22semidirect
50. #16838047C22semidirect
51. #16838046C22semidirect
52. #16838045C22semidirect
53. #16838044C22semidirect
54. #16838043C22semidirect
55. #16838042C22semidirect
56. #16838041C22semidirect
57. #16838040C22semidirect
58. #16838039C22semidirect
59. #16837978C22semidirect
60. #16837977C22semidirect
61. #16837976C22semidirect
62. #16837975C22semidirect
63. #16837974C22semidirect
64. #16837973C22semidirect
65. #16837972C22semidirect
66. #16837971C22semidirect
67. #16837970C22semidirect
68. #16837969C22semidirect
69. #16837968C22semidirect
70. #16837967C22semidirect
71. #16837966C22semidirect
72. #16837965C22semidirect
73. #16837953C22semidirect
74. #16837952C22semidirect
75. #16837951C22semidirect
76. #16837951C22semidirect
77. #16837950C22semidirect
78. #16837949C22semidirect
79. #16837948C22semidirect
80. #16837948C22semidirect
81. #16837947C22semidirect
82. C4⋊Q8×D59C22semidirect
83. #127×D59C22semidirect
84. C2×#14273716C22semidirect
85. C2×#14273715C22semidirect
86. C2×#14273714C22semidirect
87. C2×#14273713C22semidirect
88. #124×D59C22semidirect
89. #124×D59C22semidirect
90. #124×D59C22semidirect
91. #124×D59C22semidirect
92. #124×D59C22semidirect
93. #124×D59C22semidirect
94. #124×D59C22semidirect
95. #123×D59C22semidirect
96. C22⋊Q8×D59C22semidirect
97. #121×D59C22semidirect
98. #121×D59C22semidirect
99. #120×D59C22semidirect
100. #41×Dic59C22semidirect
101. C4×#11745689C22semidirect
102. C4×#11745685C22semidirect
103. #16837870C22semidirect
104. C4×#11745687C22semidirect
105. C4×Q8×D59C22semidirect
106. C4×D4×D59C22semidirect
107. C4×D4×D59C22semidirect
108. #117×D59C22semidirect
109. C2×C22⋊C4×D59C22semidirect
110. C2×C42×D59C22semidirect
111. C2×2−1+4×C59C22semidirect
112. C2×H(5,𝔽2)×C59C22semidirect
113. C59×#548C22semidirect
114. C59×#546C22semidirect
115. C59×#536C22semidirect
116. C59×#535C22semidirect
117. C59×#532C22semidirect
118. C2×#124×C59C22semidirect
119. C4×#41×C59C22semidirect
134. C2×#11745689C23semidirect
135. C2×#11745689C23semidirect
140. C2×#11745685C23semidirect
141. C2×#11745685C23semidirect
142. C2×#11745685C23semidirect
143. C2×#11745685C23semidirect
148. C2×#11745687C23semidirect
149. C2×#11745687C23semidirect
150. C2×#11745687C23semidirect
151. C2×#11745687C23semidirect
156. #41×D59D4semidirect
157. C22×Dic118C23semidirect
158. C22×Dic118C23semidirect
159. C22×Dic118C23semidirect
166. C2×Q8×D59C23semidirect
167. C2×Q8×D59C23semidirect
168. C2×Q8×D59C23semidirect
169. C2×Q8×D59C23semidirect
193. #14273727C23semidirect
194. #14273726C23semidirect
195. #14273725C23semidirect
196. #14273725C23semidirect
197. #14273724C23semidirect
198. #14273723C23semidirect
199. #14273723C23semidirect
200. #14273723C23semidirect
201. #14273716C23semidirect
202. #14273716C23semidirect
203. #14273716C23semidirect
204. #14273716C23semidirect
205. #14273715C23semidirect
206. #14273715C23semidirect
207. #14273715C23semidirect
208. #14273715C23semidirect
209. #14273714C23semidirect
210. #14273714C23semidirect
211. #14273714C23semidirect
212. #14273714C23semidirect
213. #14273713C23semidirect
214. #14273713C23semidirect
215. #14273713C23semidirect
216. #14273713C23semidirect
217. #14273713C23semidirect
218. #14273712C23semidirect
219. #14273711C23semidirect
220. #14273710C23semidirect
221. #14273709C23semidirect
222. #14273708C23semidirect
223. #14273707C23semidirect
224. #14273706C23semidirect
225. #14273705C23semidirect
226. #14273704C23semidirect
227. #14273703C23semidirect
228. #14273702C23semidirect
229. #14273702C23semidirect
230. #14273701C23semidirect
231. #14273701C23semidirect
232. #14273700C23semidirect
233. #14273700C23semidirect
234. #14273700C23semidirect
235. #14273699C23semidirect
236. #14273699C23semidirect
237. #14273699C23semidirect
238. #14273698C23semidirect
239. #14273698C23semidirect
240. #14273697C23semidirect
241. #14273697C23semidirect
242. #14273696C23semidirect
243. #14273695C23semidirect
244. #14273695C23semidirect
245. Q8×Dic59C23semidirect
246. C4×Dic118C23semidirect
247. #14273692C23semidirect
248. C4×D236C23semidirect
249. C4×D236C23semidirect
250. D4×Dic59C23semidirect
251. D4×Dic59C23semidirect
252. #14273689C23semidirect
253. #14273689C23semidirect
254. C4×C22⋊D59C23semidirect
255. C4×C22⋊D59C23semidirect
256. C4×C22⋊D59C23semidirect
257. (C22⋊D59)⋊C4C23semidirect
258. (C22⋊D59)⋊C4C23semidirect
259. (C22⋊D59)⋊C4C23semidirect
260. #14273686C23semidirect
261. #14273685C23semidirect
262. #14273684C23semidirect
263. #14273683C23semidirect
266. C2×C22⋊Dic59C23semidirect
267. C2×(C2×D59)⋊C4C23semidirect
268. C2×(C2×D59)⋊C4C23semidirect
273. C22⋊C4×D59C23semidirect
274. C22⋊C4×D59C23semidirect
275. C2×C4×Dic59C23semidirect
276. C2×C4×Dic59C23semidirect
280. C42×D59C23semidirect
281. C42×D59C23semidirect
282. C42×D59C23semidirect
288. C2×#41×C59C23semidirect
289. C2×#41×C59C23semidirect
290. C22×Q8×C59C23semidirect
291. C22×Q8×C59C23semidirect
294. C4⋊Q8×C59C23semidirect
295. #127×C59C23semidirect
296. #124×C59C23semidirect
297. #124×C59C23semidirect
298. #124×C59C23semidirect
299. #124×C59C23semidirect
300. #123×C59C23semidirect
301. C22⋊Q8×C59C23semidirect
302. #121×C59C23semidirect
303. #121×C59C23semidirect
304. #120×C59C23semidirect
305. C4×Q8×C59C23semidirect
306. C4×D4×C59C23semidirect
307. C4×D4×C59C23semidirect
308. #117×C59C23semidirect
309. C2×C22⋊C4×C59C23semidirect
310. C2×C42×C59C23semidirect
323. #41×C59C2×D4semidirect
365. #11745689C2×D4semidirect
381. #11745687C2×D4semidirect
401. #11745685C2×D4semidirect
610. #3500D59direct (N × H)
626. D59#3500direct (N × H)
633. C2×2−1+4C2×D59semidirect
640. C2×H(5,𝔽2)C2×D59semidirect
657. #548C2×D59semidirect
669. #546C2×D59semidirect
677. #536C2×D59semidirect
685. #535C2×D59semidirect
695. #532C2×D59semidirect
709. C2×#124C2×D59semidirect
720. C4×#41C2×D59semidirect
727. C59C2×#3500semidirect
770. C2×#41C22×D59semidirect
771. C2×#41C22×D59semidirect
785. C22×Q8C22×D59semidirect
786. C22×Q8C22×D59semidirect
816. C4⋊Q8C22×D59semidirect
821. #127C22×D59semidirect
839. #124C22×D59semidirect
840. #124C22×D59semidirect
841. #124C22×D59semidirect
842. #124C22×D59semidirect
848. #123C22×D59semidirect
854. C22⋊Q8C22×D59semidirect
867. #121C22×D59semidirect
868. #121C22×D59semidirect
874. #120C22×D59semidirect
878. C4×Q8C22×D59semidirect
891. C4×D4C22×D59semidirect
892. C4×D4C22×D59semidirect
897. #117C22×D59semidirect
909. C2×C22⋊C4C22×D59semidirect
918. C2×C42C22×D59semidirect
952. #41D4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×2−1+4×D592
C2×H(5,𝔽2)×D592
#214378902
#214378892
#214378882
#214378872
#214378862
#214378852
#214378842
#214378832
#214378822
#548×D592
#546×D592
#536×D592
#535×D592
#532×D592
C2×#124×D592
C4×#41×D592
C59×#35002
C2×#350059