Finite Group Databasebeta

← #29497074

Subgroups — #29497074

Order 15104.

7856 conjugacy classes of subgroups.

The subgroup lattice has 1394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438175C212yesmaximal, complemented
2#21438118C216yesmaximal, complemented
3#21438096C212yesmaximal, complemented
4#21438047C216yesmaximal, complemented
5#21437999C213yesmaximal, complemented
6#21437967C213yesmaximal, complemented
7#21437909C211yesmaximal, characteristic, complemented
8#21437870C211yesmaximal, characteristic, complemented
9#21437832C213yesmaximal, complemented
10#21437821C213yesmaximal, complemented
11#21437766C211yesmaximal, characteristic, complemented
12#21437758C211yesmaximal, characteristic, complemented
13#21437722C212yesmaximal, complemented
14#21437700C216yesmaximal, complemented
15#21437694C212yesmaximal, complemented
16D4×#11745685C216yesmaximal, complemented
17#21437518C213yesmaximal, complemented
18#21437512C213yesmaximal, complemented
19#21437389C213yesmaximal, complemented
20C2×#16837949C213yesmaximal, complemented
21C4×#14273773C211yesmaximal, characteristic, complemented
22C4×#41×D59C211yesmaximal, characteristic, complemented
23C4×H(5,𝔽2)×C59C211yesmaximal, characteristic, complemented
24C2×#14273773C2211yescharacteristic
25C22×#11745685C2216yescomplemented
26C2×#41×D59C2211yescharacteristic
27#16838135C2216yescomplemented
28#16838135C2216yescomplemented
29Q8×Dic118C2212yescomplemented
30#16838128C2212yescomplemented
31#16838120C2216yescomplemented
32#16838117C2216yescomplemented
33#16838115C2216yescomplemented
34#16838115C2216yescomplemented
35#16838111C2216yescomplemented
36#16838107C2216yescomplemented
37#16838102C2216yescomplemented
38#16838102C2216yescomplemented
39#16838101C22112yescomplemented
40#16838100C2216yescomplemented
41#16838096C2216yescomplemented
42#16838081C22112yescomplemented
43#16838078C22112yescomplemented
44#16838074C2212yescomplemented
45#16838073C2216yescomplemented
46#16838073C2216yescomplemented
47#16838071C2212yescomplemented
48#16838071C2212yescomplemented
49#16838071C2212yescomplemented
50D4×Dic118C2216yescomplemented
51#16838064C2212yescomplemented
52#16838061C22112yescomplemented
53#16838059C2212yescomplemented
54#16838057C2216yescomplemented
55#16838053C2216yescomplemented
56#16838053C2216yescomplemented
57#16838048C22112yescomplemented
58#16838047C2216yescomplemented
59#16838046C2216yescomplemented
60#16838042C22112yescomplemented
61#16838042C22112yescomplemented
62#16838042C22112yescomplemented
63D4×D236C2216yescomplemented
64D4×C22⋊D59C2216yescomplemented
65D4×C22⋊D59C2216yescomplemented
66D4×C22⋊D59C2216yescomplemented
67#16838033C2213yescomplemented
68#16838030C2213yescomplemented
69#16838024C2216yescomplemented
70#16838023C2216yescomplemented
71#16838017C2216yescomplemented
72#16838017C2216yescomplemented
73#16838007C2216yescomplemented
74#16838003C2216yescomplemented
75#16838003C2216yescomplemented
76#16838003C2216yescomplemented
77#16837990C22112yescomplemented
78#16837985C22112yescomplemented
79#16837983C2213yescomplemented
80#16837980C2213yescomplemented
81#16837971C2213yescomplemented
82#16837969C2213yescomplemented
83#16837969C2213yescomplemented
84#16837966C2213yescomplemented
85#16837956C2213yescomplemented
86#16837956C2211yescharacteristic, complemented
87#16837955C2213yescomplemented
88#16837952C2216yescomplemented
89#16837949C2216yescomplemented
90#16837949C2213yescomplemented
91#16837949C2216yescomplemented
92#16837949C2216yescomplemented
93#16837949C2216yescomplemented
94#16837949C2216yescomplemented
95#16837949C2216yescomplemented
96#16837949C2216yescomplemented
97#16837949C2216yescomplemented
98#16837949C2213yescomplemented
99#16837948C2213yescomplemented
100C2×#14273726C2213yescomplemented
101C2×#14273723C2213yescomplemented
102#16837939C2213yescomplemented
103#16837939C2213yescomplemented
104#16837936C2216yescomplemented
105#16837934C2216yescomplemented
106#16837934C2213yescomplemented
107#16837934C2213yescomplemented
108#16837932C2216yescomplemented
109#16837932C2216yescomplemented
110#16837930C2216yescomplemented
111#16837930C2216yescomplemented
112C2×#14273713C2216yescomplemented
113#16837914C2213yescomplemented
114#16837913C22112yescomplemented
115#16837911C22112yescomplemented
116#16837911C2216yescomplemented
117#16837911C2216yescomplemented
118#16837909C2213yescomplemented
119C2×#14273702C2213yescomplemented
120C2×#14273700C2216yescomplemented
121C2×#14273698C2213yescomplemented
122#16837885C2211yescharacteristic
123#16837884C2212yescomplemented
124#16837882C2213yescomplemented
125#16837876C2213yescomplemented
126#16837874C2216yescomplemented
127#41×Dic59C2211yescharacteristic
128C4×#11745689C2211yescharacteristic, complemented
129C4×#11745689C2212yescomplemented
130C4×#11745689C2211yescharacteristic, complemented
131C4×#11745685C2216yescomplemented
132C4×#11745685C2213yescomplemented
133C4×#11745685C2213yescomplemented
134C4×#11745685C2216yescomplemented
135#16837870C2213yescomplemented
136C4×#11745687C2213yescomplemented
137C4×#11745687C2213yescomplemented
138C4×Q8×D59C2211yescharacteristic, complemented
139C4×Q8×D59C2211yescharacteristic, complemented
140C2×C4×D236C2213yescomplemented
141C2×C4×C22⋊D59C2216yescomplemented
142C4×D4×D59C2216yescomplemented
143C4×D4×D59C2213yescomplemented
144C4×D4×D59C2213yescomplemented
145#117×D59C2213yescomplemented
146C2×C42×D59C2213yescomplemented
147C2×H(5,𝔽2)×C59C2211yescharacteristic
148C59×#520C2211yescharacteristic
149C59×#520C2213yescomplemented
150C59×#520C2212yescomplemented
151C59×#518C2213yescomplemented
152C59×#518C2216yescomplemented
153C4×#41×C59C2211yescharacteristic
154C4×#41×C59C2212yescomplemented
155C4×#41×C59C2213yescomplemented
156C2×C4×D4×C59C2216yescomplemented
157C2×C4×D4×C59C2213yescomplemented
158#14273773—28no—
159C2×#11745689C2311yescharacteristic
160C2×#11745689C2312yes—
161C2×#11745685—424no—
162C2×#11745685C2316yes—
163C2×#11745685C2313yes—
164C2×#11745685C2313yes—
165C2×#11745685C23112yes—
166C2×#11745685C2316yes—
167C2×#11745685C23112yes—
168C2×#11745685C23112yes—
169C2×#11745687C2313yes—
170#41×D59—28no—
171C22×Dic118C2316yes—
172C2×Q8×D59C2311yescharacteristic
173C22×D236C2313yes—
174C22×D236C2316yes—
175C22×C22⋊D59C2316yes—
176C22×C22⋊D59C2316yes—
177C22×C22⋊D59C2316yes—
178C2×D4×D59C2313yes—
179C2×D4×D59C2316yes—
180C22×C4×D59C2313yes—
181C22×C4×D59C2313yes—
182C22×C4×D59C2313yes—
183C22×C4×D59C2316yes—
184#14273727C2316yes—
185#14273726C2313yes—
186#14273726C2316yes—
187#14273726C2316yes—
188#14273726C2316yes—
189#14273726C2311yescharacteristic
190#14273726C2316yes—
191#14273725C2311yescharacteristic
192#14273724C2316yes—
193#14273723C2313yes—
194#14273723C2316yes—
195#14273723C2316yes—
196#14273723C2316yes—
197#14273723C2316yes—
198#14273722C2316yes—
199#14273722C2316yes—
200#14273721C23112yes—
201#14273720C2316yes—
202#14273720C2316yes—
203#14273720C23112yes—
204#14273719C2316yes—
205#14273718C2313yes—
206#14273718C2313yes—
207#14273718C2316yes—
208#14273717C2312yes—
209#14273717C2316yes—
210#14273716C2313yes—
211#14273715C2316yes—
212#14273715C23112yes—
213#14273714C2313yes—
214#14273714C2316yes—
215#14273713C2316yes—
216#14273713C23112yes—
217#14273713C23112yes—
218#14273713C23112yes—
219#14273713C2316yes—
220#14273713C23112yes—
221#14273712C2316yes—
222#14273712C2316yes—
223#14273712C23112yes—
224#14273711C2316yes—
225#14273710C23112yes—
226#14273710C23112yes—
227#14273710C23112yes—
228#14273709C2316yes—
229#14273709C2316yes—
230#14273709C23112yes—
231#14273709C23112yes—
232#14273708C2316yes—
233#14273707C2311yescharacteristic
234#14273707C2313yes—
235#14273707C2316yes—
236#14273706C23112yes—
237#14273706C23112yes—
238#14273706C2316yes—
239#14273705C2312yes—
240#14273705C2316yes—
241#14273705C23112yes—
242#14273704C2316yes—
243#14273704C2316yes—
244#14273704C23112yes—
245#14273703C2311yescharacteristic
246#14273703C2313yes—
247#14273702C2313yes—
248#14273702C2316yes—
249#14273702C2316yes—
250#14273702C2316yes—
251#14273702C2313yes—
252#14273702C2316yes—
253#14273701C23112yes—
254#14273701C23112yes—
255#14273701C2316yes—
256#14273701C2316yes—
257#14273701C2316yes—
258#14273701C23112yes—
259#14273700C2316yes—
260#14273700C23112yes—
261#14273700C23112yes—
262#14273700C23112yes—
263#14273700C2316yes—
264#14273700C23112yes—
265#14273700C23112yes—
266#14273699C2316yes—
267#14273699C2316yes—
268#14273699C23112yes—
269#14273698C2313yes—
270#14273698C2316yes—
271#14273698C2316yes—
272#14273698C2316yes—
273#14273698C2313yes—
274#14273698C2316yes—
275#14273698C2316yes—
276#14273697C2316yes—
277#14273697C23112yes—
278#14273696C23112yes—
279#14273696C23112yes—
280#14273695C2316yes—
281#14273695C23112yes—
282Q8×Dic59C2312yes—
283Q8×Dic59C2311yescharacteristic
284Q8×Dic59C2311yescharacteristic
285C4×Dic118C2316yes—
286C4×Dic118C2316yes—
287C4×Dic118C2312yes—
288C4×Dic118C2316yes—
289C4×Dic118C2311yescharacteristic
290C4×Dic118C2313yes—
291C4×Dic118C2313yes—
292C4×Dic118C2313yes—
293#14273692C2313yes—
294#14273692C2313yes—
295C4×D236C2316yes—
296C4×D236C2316yes—
297C4×D236C2316yes—
298C4×D236C2316yes—
299C4×D236C2316yes—
300C4×D236C2313yes—
301C4×D236C2313yes—
302C4×D236C2313yes—
303C4×D236C2316yes—
304C4×D236C2316yes—
305C4×D236C2313yes—
306D4×Dic59C2313yes—
307D4×Dic59C2313yes—
308D4×Dic59C2316yes—
309#14273689C2313yes—
310#14273689C2316yes—
311#14273689C2313yes—
312#14273689C2316yes—
313C4×C22⋊D59C2316yes—
314C4×C22⋊D59C2316yes—
315C4×C22⋊D59C2316yes—
316C4×C22⋊D59C2316yes—
317C4×C22⋊D59C2316yes—
318C4×C22⋊D59C23112yes—
319C4×C22⋊D59C2316yes—
320C4×C22⋊D59C2316yes—
321C4×C22⋊D59C2316yes—
322C4×C22⋊D59C2316yes—
323C4×C22⋊D59C2316yes—
324C4×C22⋊D59C2316yes—
325C4×C22⋊D59C23112yes—
326C4×C22⋊D59C23112yes—
327C4×C22⋊D59C2316yes—
328(C22⋊D59)⋊C4C2316yes—
329(C22⋊D59)⋊C4C2316yes—
330(C22⋊D59)⋊C4C23112yes—
331#14273686C2313yes—
332#14273686C2316yes—
333#14273686C2316yes—
334#14273686C2313yes—
335#14273685C2313yes—
336#14273685C2316yes—
337#14273685C2313yes—
338#14273684C2312yes—
339#14273684C2316yes—
340#14273684C2316yes—
341#14273684C2316yes—
342#14273684C2316yes—
343#14273684C2316yes—
344#14273683C2316yes—
345C2×C4⋊Dic59C2313yes—
346C2×Dic59⋊C4C2316yes—
347C4⋊C4×D59C2313yes—
348C4⋊C4×D59C2316yes—
349C4⋊C4×D59C2313yes—
350C2×C22⋊Dic59C2316yes—
351C2×(C2×D59)⋊C4C2316yes—
352C2×(C2×D59)⋊C4C2316yes—
353C22⋊C4×D59C2316yes—
354C22⋊C4×D59C23112yes—
355C2×C4×Dic59C2313yes—
356C2×C4×Dic59C2313yes—
357C2×C4×Dic59C2313yes—
358C42×D59C2313yes—
359C42×D59C2313yes—
360C42×D59C2313yes—
361C42×D59C2313yes—
362C42×D59C2316yes—
363C42×D59C2311yescharacteristic
364C42×D59C2313yes—
365C42×D59C2313yes—
366C42×D59C2313yes—
367H(5,𝔽2)×C59—28no—
368C2×#41×C59C2313yes—
369C2×#41×C59C2312yes—
370C2×#41×C59C2311yescharacteristic
371C22×D4×C59C2313yes—
372C22×D4×C59C2316yes—
373C23×C4×C59C2316yes—
374C4×Q8×C59C2311yescharacteristic
375C4×Q8×C59C2313yes—
376C4×Q8×C59C2312yes—
377C4×Q8×C59C2311yescharacteristic
378C4×Q8×C59C2311yescharacteristic
379C4×D4×C59C2316yes—
380C4×D4×C59C2316yes—
381C4×D4×C59C2316yes—
382C4×D4×C59C2313yes—
383C4×D4×C59C2313yes—
384C4×D4×C59C2316yes—
385C4×D4×C59C2316yes—
386C4×D4×C59C2316yes—
387C4×D4×C59C23112yes—
388C4×D4×C59C2316yes—
389C4×D4×C59C2313yes—
390C4×D4×C59C2316yes—
391C4×D4×C59C2313yes—
392#117×C59C2313yes—
393#117×C59C2316yes—
394#117×C59C2313yes—
395#117×C59C2316yes—
396C2×C4⋊C4×C59C2313yes—
397C2×C4⋊C4×C59C2316yes—
398C2×C22⋊C4×C59C2316yes—
399C2×C22⋊C4×C59C23112yes—
400C2×C42×C59C2316yes—
401C2×C42×C59C2313yes—
402C24×C59C2416yes—
403C23×D59C2413yes—
404C23×D59C2416yes—
405#41×C59—28no—
406#41×C59—212no—
407#41×C59#4118yescomplemented
408C2×Q8×C59C2411yescharacteristic
409C2×Q8×C59C2411yescharacteristic
410C2×D4×C59—224no—
411C2×D4×C59—212no—
412C2×D4×C59C2416yes—
413C2×D4×C59C2413yes—
414C2×D4×C59C2416yes—
415C2×D4×C59C2413yes—
416C22×C4×C59—412no—
417C22×C4×C59C2416yes—
418C22×C4×C59C2413yes—
419C22×C4×C59C2416yes—
420C22×C4×C59C2413yes—
421C22×C4×C59C2416yes—
422C22×C4×C59C2416yes—
423C22×C4×C59C24112yes—
424C22×C4×C59C2413yes—
425C2×C22⋊D59—412no—
426C2×C22⋊D59—412no—
427C2×C22⋊D59—412no—
428C2×C22⋊D59C2416yes—
429C2×C22⋊D59C2416yes—
430C2×C22⋊D59C2416yes—
431C2×C22⋊D59C2416yes—
432C2×C22⋊D59C2416yes—
433C2×C22⋊D59C2416yes—
434C2×C22⋊D59C24112yes—
435C2×C22⋊D59C24112yes—
436C2×C22⋊D59C24112yes—
437C22×Dic59C2413yes—
438C22×Dic59C2413yes—
439C22×Dic59C2413yes—
440C22×Dic59C2416yes—
441#11745689—24no—
442#11745689—28no—
443Q8×D59—24no—
444#11745687—212no—
445D4×D59—212no—
446D4×D59—224no—
447#11745685—212no—
448#11745685—212no—
449#11745685—224no—
450#11745685—424no—
451#11745685—412no—
452#11745685—424no—
453#11745685—424no—
454C2×D236—212no—
455C2×D236—412no—
456C2×D236C2416yes—
457C2×D236C2413yes—
458C2×D236C2413yes—
459C2×D236C2416yes—
460C2×D236C2416yes—
461C2×D236C24112yes—
462C2×C4×D59—212no—
463C2×C4×D59—212no—
464C2×C4×D59—46no—
465C2×C4×D59—412no—
466C2×C4×D59C2411yescharacteristic
467C2×C4×D59C2411yescharacteristic
468C2×C4×D59C2413yes—
469C2×C4×D59C2413yes—
470C2×C4×D59C2413yes—
471C2×C4×D59C2413yes—
472C2×C4×D59C2413yes—
473C2×C4×D59C2413yes—
474C2×C4×D59C2413yes—
475C2×C4×D59C2416yes—
476C2×C4×D59C2416yes—
477C2×C4×D59C2413yes—
478C2×C4×D59C2413yes—
479C2×C4×D59C2416yes—
480C2×C4×D59C24112yes—
481C2×C4×D59C2411yescharacteristic
482C2×Dic118—412no—
483C2×Dic118C2413yes—
484C2×Dic118C2412yes—
485C2×Dic118C2411yescharacteristic
486C2×Dic118C2416yes—
487C2×Dic118C24112yes—
488C4⋊C4×C59C2413yes—
489C4⋊C4×C59C2413yes—
490C4⋊C4×C59C2416yes—
491C4⋊C4×C59C2416yes—
492C4⋊C4×C59C2413yes—
493C4⋊C4×C59C2411yescharacteristic
494C4⋊C4×C59C2412yes—
495C22⋊C4×C59C2416yes—
496C22⋊C4×C59C2416yes—
497C22⋊C4×C59C2416yes—
498C22⋊C4×C59C2416yes—
499C22⋊C4×C59C24112yes—
500C42×C59C2413yes—
501C42×C59C2411yescharacteristic
502C42×C59C2412yes—
503C42×C59C2413yes—
504C42×C59C2413yes—
505C42×C59C2416yes—
506C42×C59C2416yes—
507C22⋊Dic59C2416yes—
508C22⋊Dic59C2416yes—
509C22⋊Dic59C2416yes—
510C22⋊Dic59C24112yes—
511C22⋊Dic59C2416yes—
512C22⋊Dic59C2416yes—
513C22⋊Dic59C2416yes—
514(C2×D59)⋊C4C2416yes—
515(C2×D59)⋊C4C24112yes—
516(C2×D59)⋊C4C2416yes—
517(C2×D59)⋊C4C2416yes—
518(C2×D59)⋊C4C2416yes—
519(C2×D59)⋊C4C2416yes—
520(C2×D59)⋊C4C24112yes—
521(C2×D59)⋊C4C2412yes—
522(C2×D59)⋊C4C2412yes—
523(C2×D59)⋊C4C2416yes—
524(C2×D59)⋊C4C2416yes—
525(C2×D59)⋊C4C2416yes—
526(C2×D59)⋊C4C2416yes—
527(C2×D59)⋊C4C2416yes—
528C4⋊Dic59C2416yes—
529C4⋊Dic59C2413yes—
530C4⋊Dic59C2413yes—
531C4⋊Dic59C2413yes—
532C4⋊Dic59C2411yescharacteristic
533C4⋊Dic59C2412yes—
534C4⋊Dic59C2416yes—
535C4⋊Dic59C2416yes—
536C4⋊Dic59C2416yes—
537Dic59⋊C4C2416yes—
538Dic59⋊C4C2416yes—
539Dic59⋊C4C2416yes—
540Dic59⋊C4C2416yes—
541Dic59⋊C4C24112yes—
542Dic59⋊C4C2412yes—
543Dic59⋊C4C2412yes—
544Dic59⋊C4C2412yes—
545Dic59⋊C4C2412yes—
546Dic59⋊C4C2412yes—
547Dic59⋊C4C2416yes—
548Dic59⋊C4C2416yes—
549Dic59⋊C4C2416yes—
550C4×Dic59C2411yescharacteristic
551C4×Dic59C2411yescharacteristic
552C4×Dic59C2411yescharacteristic
553C4×Dic59C2412yes—
554C4×Dic59C2413yes—
555C4×Dic59C2413yes—
556C4×Dic59C2413yes—
557C4×Dic59C2413yes—
558C4×Dic59C2413yes—
559C4×Dic59C2413yes—
560C4×Dic59C2413yes—
561C4×Dic59C2413yes—
562C4×Dic59C2413yes—
563C4×Dic59C2416yes—
564C4×Dic59C2416yes—
565C23×C59—212no—
566C23×C59—46no—
567C23×C59—46no—
568C23×C59C2516yes—
569C23×C59C2513yes—
570C22×D59—26no—
571C22×D59—212no—
572C22×D59—26no—
573C22×D59—43no—
574C22×D59—46no—
575C22×D59—46no—
576C22×D59C2516yes—
577C22×D59C2513yes—
578C22×D59C2511yescharacteristic
579Q8×C59—22no—
580Q8×C59C2×#4114yescomplemented
581D4×C59—212no—
582D4×C59—212no—
583D4×C59—26no—
584D4×C59C2×#41112yescomplemented
585C2×C4×C59—212no—
586C2×C4×C59—26no—
587C2×C4×C59—212no—
588C2×C4×C59—46no—
589C2×C4×C59—43no—
590C2×C4×C59—412no—
591C2×C4×C59—46no—
592C2×C4×C59C2×#41112yescomplemented
593C2×C4×C59C2511yescharacteristic
594C2×C4×C59C2513yes—
595C2×C4×C59C2513yes—
596C2×C4×C59C2512yes—
597C2×C4×C59C2512yes—
598C2×C4×C59C2516yes—
599C2×C4×C59C2513yes—
600C2×C4×C59C2511yescharacteristic
601C2×C4×C59C2511yescharacteristic
602C22⋊D59—212no—
603C22⋊D59—212no—
604C22⋊D59—212no—
605C22⋊D59—212no—
606C22⋊D59—212no—
607C22⋊D59—412no—
608C22⋊D59—412no—
609C22⋊D59—46no—
610C22⋊D59—412no—
611C2×Dic59—26no—
612C2×Dic59—26no—
613C2×Dic59—26no—
614C2×Dic59—46no—
615C2×Dic59C2511yescharacteristic
616C2×Dic59C2513yes—
617C2×Dic59C2512yes—
618C2×Dic59C2512yes—
619C2×Dic59C2513yes—
620C2×Dic59C2513yes—
621C2×Dic59C2516yes—
622C2×Dic59C2511yescharacteristic
623C2×Dic59C2511yescharacteristic
624D236—212no—
625D236—26no—
626D236—212no—
627D236—26no—
628D236—412no—
629D236—46no—
630C4×D59—26no—
631C4×D59—22no—
632C4×D59—26no—
633C4×D59—26no—
634C4×D59—26no—
635C4×D59—212no—
636C4×D59—26no—
637C4×D59—212no—
638C4×D59—26no—
639C4×D59—22no—
640C4×D59—26no—
641C4×D59—43no—
642C4×D59—43no—
643C4×D59—412no—
644C4×D59—46no—
645C4×D59H(5,𝔽2)14yescomplemented
646Dic118—22no—
647Dic118—26no—
648Dic118—212no—
649Dic118—24no—
650Dic118—412no—
651#62800—591nomaximal, Sylow
652C22×C59—23no—
653C22×C59—23no—
654C22×C59—26no—
655C22×C59—26no—
656C22×C59—26no—
657C22×C59—812no—
658C22×C59C22×#4116yes—
659C22×C59C2611yescharacteristic
660C2×D59—21no—
661C2×D59—21no—
662C2×D59—23no—
663C2×D59—26no—
664C2×D59—23no—
665C2×D59—26no—
666C2×D59—23no—
667C2×D59—26no—
668C2×D59—412no—
669C2×D59—812no—
670C2×D59C2×H(5,𝔽2)12yes—
671C4×C59—22no—
672C4×C59—26no—
673C4×C59—23no—
674C4×C59—22no—
675C4×C59—21no—
676C4×C59—23no—
677C4×C59C22×#4116yes—
678C4×C59C22×#4112yes—
679C4×C59C2×H(5,𝔽2)12yes—
680Dic59—23no—
681Dic59—22no—
682Dic59—21no—
683Dic59—26no—
684Dic59—23no—
685Dic59—22no—
686Dic59—23no—
687Dic59C2×H(5,𝔽2)12yes—
688Dic59#58512yes—
689#3522—592no—
690#3519—596no—
691#3517—592no—
692#3514—596no—
693#3511—593no—
694#3508—593no—
695#3503—591no—
696#3498—591no—
697#3494—593no—
698#3494—593no—
699#3488—591no—
700#3488—591no—
701#3483—592no—
702#3481—596no—
703#3480—592no—
704D4×#41—596no—
705#3460—593no—
706#3460—593no—
707#3444—593no—
708C2×#532—593no—
709C4×H(5,𝔽2)—591no—
710C4×H(5,𝔽2)D5911yescharacteristic, complemented
711C2×C4×#41—591no—
712C2×C59—26no—
713C2×C59—46no—
714C2×C59C23×#4111yescharacteristic
715C2×C59C22×H(5,𝔽2)11yescharacteristic
716C2×C59C2×#58511yescharacteristic
717D59—22no—
718D59—43no—
719D59—46no—
720C2×H(5,𝔽2)—591no—
721C2×H(5,𝔽2)C2×D5911yescharacteristic
722C22×#41—591no—
723C22×#41—596no—
724#559—596no—
725#559—596no—
726Q82—592no—
727#557—592no—
728#556—596no—
729#555—596no—
730#555—596no—
731#555—596no—
732#554—596no—
733#554—596no—
734#553—596no—
735#553—596no—
736#553—5912no—
737#553—596no—
738#553—596no—
739#551—5912no—
740#551—5912no—
741#550—592no—
742#550—592no—
743#550—592no—
744#550—592no—
745#550—596no—
746#550—596no—
747D4×Q8—596no—
748#548—592no—
749#548—592no—
750#548—5912no—
751#547—596no—
752#547—596no—
753#547—596no—
754#546—596no—
755#546—5912no—
756#546—596no—
757#546—5912no—
758#546—5912no—
759#546—5912no—
760D42—596no—
761D42—596no—
762D42—596no—
763D42—596no—
764#544—593no—
765#544—593no—
766#542—596no—
767#542—596no—
768#542—596no—
769#542—596no—
770#540—596no—
771#540—596no—
772#540—596no—
773#540—596no—
774#538—5912no—
775#538—5912no—
776#537—593no—
777#537—593no—
778#535—593no—
779#535—593no—
780#535—593no—
781#535—593no—
782#533—591no—
783#533—593no—
784#533—593no—
785#532—593no—
786#532—593no—
787#532—596no—
788#532—596no—
789#532—596no—
790#532—596no—
791#532—596no—
792#532—596no—
793#532—596no—
794#532—593no—
795#532—596no—
796#532—596no—
797C2×C4⋊Q8—593no—
798C2×#127—593no—
799#529—593no—
800#529—593no—
801#529—596no—
802#529—596no—
803#529—593no—
804#529—593no—
805#529—596no—
806#529—596no—
807#529—596no—
808#529—596no—
809C2×#124—596no—
810#525—593no—
811#525—5912no—
812#525—596no—
813#525—596no—
814#525—5912no—
815#525—593no—
816C2×#121—593no—
817C2×#121—593no—
818C2×#121—596no—
819#520—591no—
820#520—592no—
821#520—593no—
822#520C2×D5911yescharacteristic
823#520C2×D5913yescomplemented
824#520C2×D5912yescomplemented
825#518—596no—
826#518—593no—
827#518C2×D5913yescomplemented
828#518C2×D5916yescomplemented
829C4×#41—591no—
830C4×#41—591no—
831C4×#41—591no—
832C4×#41—592no—
833C4×#41—593no—
834C4×#41—593no—
835C4×#41—593no—
836C4×#41—593no—
837C4×#41—593no—
838C4×#41—596no—
839C4×#41—596no—
840C4×#41C2×D5911yescharacteristic
841C4×#41C2×D5913yescomplemented
842C4×#41C2×D5912yescomplemented
843C2×C4×Q8—591no—
844C2×C4×Q8—591no—
845C2×C4×D4—596no—
846C2×C4×D4—593no—
847C2×C4×D4—593no—
848C2×C4×D4—596no—
849C2×C4×D4—593no—
850C2×C4×D4C2×D5913yescomplemented
851C2×C4×D4C2×D5916yescomplemented
852C2×#117—593no—
853C22×C42—593no—
854C59#6280011yescharacteristic, complemented, Sylow
855H(5,𝔽2)—28no—
856H(5,𝔽2)—1188no—
857C2×#41—591no—
858C2×#41—592no—
859C2×#41—593no—
860C2×#41—593no—
861C2×#41—593no—
862C2×#41—596no—
863C2×#41—596no—
864C2×#41—5912no—
865C2×#41—5912no—
866C2×#41—5912no—
867C2×#41—1188no—
868C2×#41—23624no—
869C2×#41C22×D5913yes—
870C2×#41C22×D5912yes—
871C2×#41C22×D5911yescharacteristic
872C22×Q8—591no—
873C22×Q8—596no—
874C22×D4—596no—
875C22×D4—596no—
876C22×D4—596no—
877C22×D4—593no—
878C22×D4—596no—
879C22×D4—593no—
880C22×D4—596no—
881C22×D4C22×D5913yes—
882C22×D4C22×D5916yes—
883C23×C4—593no—
884C23×C4—593no—
885C23×C4—596no—
886C23×C4—593no—
887C23×C4C22×D5916yes—
888C4⋊Q8—591no—
889C4⋊Q8—593no—
890C4⋊Q8—596no—
891C4⋊Q8—596no—
892C4⋊Q8—596no—
893C4⋊Q8—591no—
894C4⋊Q8—596no—
895C4⋊Q8—596no—
896#127—593no—
897#127—596no—
898#127—596no—
899#127—596no—
900#127—596no—
901#127—596no—
902#126—596no—
903#126—596no—
904#126—596no—
905#126—596no—
906#126—5912no—
907#126—5912no—
908#125—592no—
909#125—593no—
910#125—593no—
911#125—596no—
912#125—596no—
913#125—596no—
914#124—593no—
915#124—593no—
916#124—596no—
917#124—596no—
918#124—5912no—
919#124—5912no—
920#124—5912no—
921#124—596no—
922#124—5912no—
923#124—596no—
924#124—5912no—
925#123—596no—
926#123—5912no—
927#123—5912no—
928#123—5912no—
929#123—596no—
930#123—596no—
931#123—5912no—
932#123—596no—
933#123—596no—
934#123—596no—
935#123—5912no—
936#123—5912no—
937C22⋊Q8—591no—
938C22⋊Q8—593no—
939C22⋊Q8—5912no—
940C22⋊Q8—5912no—
941C22⋊Q8—596no—
942C22⋊Q8—592no—
943C22⋊Q8—591no—
944C22⋊Q8—593no—
945C22⋊Q8—596no—
946C22⋊Q8—5912no—
947C22⋊Q8—596no—
948C22⋊Q8—596no—
949C22⋊Q8—596no—
950C22⋊Q8—5912no—
951#121—593no—
952#121—596no—
953#121—596no—
954#121—596no—
955#121—593no—
956#121—596no—
957#121—596no—
958#121—5912no—
959#121—596no—
960#121—596no—
961#121—5912no—
962#121—5912no—
963#121—596no—
964#121—596no—
965#121—596no—
966#121—5912no—
967#121—593no—
968#121—596no—
969#121—596no—
970#121—596no—
971#121—593no—
972#121—596no—
973#121—596no—
974#121—5912no—
975#121—5912no—
976#121—5912no—
977#121—596no—
978#121—5912no—
979#121—5912no—
980#120—5912no—
981#120—5912no—
982#120—596no—
983#120—5912no—
984#120—596no—
985#120—5912no—
986C4×Q8—591no—
987C4×Q8—591no—
988C4×Q8—592no—
989C4×Q8—593no—
990C4×Q8—593no—
991C4×Q8—593no—
992C4×Q8—593no—
993C4×Q8—592no—
994C4×Q8—591no—
995C4×Q8—593no—
996C4×Q8—596no—
997C4×Q8—596no—
998C4×Q8—596no—
999C4×Q8C22×D5911yescharacteristic
1000C4×Q8C22×D5911yescharacteristic
1001C4×Q8C22×D5911yescharacteristic
1002C4×Q8C22×D5912yes—
1003C4×Q8C22×D5913yes—
1004C4×D4—593no—
1005C4×D4—593no—
1006C4×D4—596no—
1007C4×D4—596no—
1008C4×D4—596no—
1009C4×D4—596no—
1010C4×D4—596no—
1011C4×D4—5912no—
1012C4×D4—5912no—
1013C4×D4—5912no—
1014C4×D4—596no—
1015C4×D4—596no—
1016C4×D4—596no—
1017C4×D4—596no—
1018C4×D4—596no—
1019C4×D4—596no—
1020C4×D4—596no—
1021C4×D4—596no—
1022C4×D4—593no—
1023C4×D4—593no—
1024C4×D4—596no—
1025C4×D4—596no—
1026C4×D4—596no—
1027C4×D4—596no—
1028C4×D4—5912no—
1029C4×D4—596no—
1030C4×D4—593no—
1031C4×D4—593no—
1032C4×D4—593no—
1033C4×D4—596no—
1034C4×D4—596no—
1035C4×D4—593no—
1036C4×D4—596no—
1037C4×D4—596no—
1038C4×D4—596no—
1039C4×D4—596no—
1040C4×D4C22×D5913yes—
1041C4×D4C22×D5913yes—
1042C4×D4C22×D5916yes—
1043C4×D4C22×D5913yes—
1044C4×D4C22×D5916yes—
1045C4×D4C22×D5916yes—
1046C4×D4C22×D5916yes—
1047C4×D4C22×D5916yes—
1048C4×D4C22×D59112yes—
1049C4×D4C22×D5916yes—
1050C4×D4C22×D5916yes—
1051C4×D4C22×D5913yes—
1052C4×D4C22×D5916yes—
1053#117—593no—
1054#117—593no—
1055#117—596no—
1056#117—596no—
1057#117—593no—
1058#117—593no—
1059#117—596no—
1060#117—596no—
1061#117—596no—
1062#117—592no—
1063#117—596no—
1064#117—596no—
1065#117—596no—
1066#117—596no—
1067#117C22×D5913yes—
1068#117C22×D5913yes—
1069#117C22×D5916yes—
1070#117C22×D5916yes—
1071C2×C4⋊C4—593no—
1072C2×C4⋊C4—596no—
1073C2×C4⋊C4—593no—
1074C2×C4⋊C4—593no—
1075C2×C4⋊C4—596no—
1076C2×C4⋊C4C22×D5913yes—
1077C2×C4⋊C4C22×D5916yes—
1078C2×C22⋊C4—596no—
1079C2×C22⋊C4—596no—
1080C2×C22⋊C4—596no—
1081C2×C22⋊C4—596no—
1082C2×C22⋊C4—5912no—
1083C2×C22⋊C4C22×D5916yes—
1084C2×C22⋊C4C22×D59112yes—
1085C2×C42—593no—
1086C2×C42—593no—
1087C2×C42—593no—
1088C2×C42—593no—
1089C2×C42—593no—
1090C2×C42—593no—
1091C2×C42—596no—
1092C2×C42—593no—
1093C2×C42—593no—
1094C2×C42—593no—
1095C2×C42—593no—
1096C2×C42—591no—
1097C2×C42C22×D5913yes—
1098C2×C42C22×D5916yes—
1099C24—593no—
1100C24—596no—
1101C24C23×D5916yes—
1102#41—28no—
1103#41—212no—
1104#41—11824no—
1105#41—1184no—
1106#41—1188no—
1107#41—11812no—
1108#41—11812no—
1109#41—11812no—
1110#41—23624no—
1111#41—23624no—
1112#41—23624no—
1113#41—23612no—
1114#41#1174568518yescomplemented
1115C2×Q8—593no—
1116C2×Q8—592no—
1117C2×Q8—591no—
1118C2×Q8—596no—
1119C2×Q8—5912no—
1120C2×Q8—1184no—
1121C2×Q8—23612no—
1122C2×Q8C23×D5911yescharacteristic
1123C2×Q8C23×D5911yescharacteristic
1124C2×D4—224no—
1125C2×D4—212no—
1126C2×D4—596no—
1127C2×D4—596no—
1128C2×D4—596no—
1129C2×D4—596no—
1130C2×D4—596no—
1131C2×D4—596no—
1132C2×D4—5912no—
1133C2×D4—5912no—
1134C2×D4—5912no—
1135C2×D4—596no—
1136C2×D4—593no—
1137C2×D4—593no—
1138C2×D4—596no—
1139C2×D4—596no—
1140C2×D4—5912no—
1141C2×D4—11812no—
1142C2×D4—11824no—
1143C2×D4—11812no—
1144C2×D4—23612no—
1145C2×D4—23612no—
1146C2×D4—23612no—
1147C2×D4—23612no—
1148C2×D4C23×D5916yes—
1149C2×D4C23×D5913yes—
1150C2×D4C23×D5916yes—
1151C2×D4C23×D5913yes—
1152C22×C4—412no—
1153C22×C4—591no—
1154C22×C4—593no—
1155C22×C4—593no—
1156C22×C4—593no—
1157C22×C4—596no—
1158C22×C4—591no—
1159C22×C4—591no—
1160C22×C4—593no—
1161C22×C4—593no—
1162C22×C4—593no—
1163C22×C4—593no—
1164C22×C4—593no—
1165C22×C4—593no—
1166C22×C4—596no—
1167C22×C4—593no—
1168C22×C4—596no—
1169C22×C4—593no—
1170C22×C4—593no—
1171C22×C4—596no—
1172C22×C4—5912no—
1173C22×C4—11812no—
1174C22×C4—11812no—
1175C22×C4—23612no—
1176C22×C4—2366no—
1177C22×C4C23×D5916yes—
1178C22×C4C23×D5913yes—
1179C22×C4C23×D5916yes—
1180C22×C4C23×D5913yes—
1181C22×C4C23×D5916yes—
1182C22×C4C23×D5916yes—
1183C22×C4C23×D59112yes—
1184C22×C4C23×D5913yes—
1185C4⋊C4—596no—
1186C4⋊C4—593no—
1187C4⋊C4—596no—
1188C4⋊C4—596no—
1189C4⋊C4—593no—
1190C4⋊C4—593no—
1191C4⋊C4—596no—
1192C4⋊C4—596no—
1193C4⋊C4—5912no—
1194C4⋊C4—592no—
1195C4⋊C4—591no—
1196C4⋊C4—592no—
1197C4⋊C4—592no—
1198C4⋊C4—592no—
1199C4⋊C4—592no—
1200C4⋊C4—592no—
1201C4⋊C4—596no—
1202C4⋊C4—596no—
1203C4⋊C4—596no—
1204C4⋊C4—596no—
1205C4⋊C4—596no—
1206C4⋊C4—596no—
1207C4⋊C4C23×D5913yes—
1208C4⋊C4C23×D5913yes—
1209C4⋊C4C23×D5913yes—
1210C4⋊C4C23×D5916yes—
1211C4⋊C4C23×D5916yes—
1212C4⋊C4C23×D5911yescharacteristic
1213C4⋊C4C23×D5912yes—
1214C22⋊C4—596no—
1215C22⋊C4—596no—
1216C22⋊C4—596no—
1217C22⋊C4—5912no—
1218C22⋊C4—596no—
1219C22⋊C4—596no—
1220C22⋊C4—596no—
1221C22⋊C4—596no—
1222C22⋊C4—596no—
1223C22⋊C4—596no—
1224C22⋊C4—5912no—
1225C22⋊C4—596no—
1226C22⋊C4—596no—
1227C22⋊C4—5912no—
1228C22⋊C4—592no—
1229C22⋊C4—592no—
1230C22⋊C4—596no—
1231C22⋊C4—596no—
1232C22⋊C4—596no—
1233C22⋊C4—596no—
1234C22⋊C4—596no—
1235C22⋊C4C23×D5916yes—
1236C22⋊C4C23×D5916yes—
1237C22⋊C4C23×D5916yes—
1238C22⋊C4C23×D5916yes—
1239C22⋊C4C23×D59112yes—
1240C42—591no—
1241C42—591no—
1242C42—593no—
1243C42—593no—
1244C42—593no—
1245C42—593no—
1246C42—593no—
1247C42—593no—
1248C42—593no—
1249C42—593no—
1250C42—596no—
1251C42—596no—
1252C42—591no—
1253C42—593no—
1254C42—592no—
1255C42C23×D5913yes—
1256C42C23×D5913yes—
1257C42C23×D5916yes—
1258C42C23×D5916yes—
1259C42C23×D5913yes—
1260C42C23×D5911yescharacteristic
1261C42C23×D5912yes—
1262C23—212no—
1263C23—46no—
1264C23—46no—
1265C23—591no—
1266C23—596no—
1267C23—593no—
1268C23—1186no—
1269C23—11812no—
1270C23—1186no—
1271C23—2366no—
1272C23—2366no—
1273C23—2363no—
1274C23C24×D5916yes—
1275C23C24×D5913yes—
1276Q8—22no—
1277Q8—11812no—
1278Q8—1184no—
1279Q8—1186no—
1280Q8—1182no—
1281Q8—23612no—
1282Q8C2×#1174568514yescomplemented
1283D4—212no—
1284D4—212no—
1285D4—26no—
1286D4—11812no—
1287D4—11812no—
1288D4—11812no—
1289D4—11812no—
1290D4—11812no—
1291D4—11812no—
1292D4—11812no—
1293D4—1186no—
1294D4—1186no—
1295D4—23612no—
1296D4—2366no—
1297D4—23612no—
1298D4—23612no—
1299D4—23612no—
1300D4—2366no—
1301D4C2×#11745685112yescomplemented
1302C2×C4—212no—
1303C2×C4—26no—
1304C2×C4—212no—
1305C2×C4—46no—
1306C2×C4—412no—
1307C2×C4—43no—
1308C2×C4—46no—
1309C2×C4—591no—
1310C2×C4—591no—
1311C2×C4—594no—
1312C2×C4—591no—
1313C2×C4—593no—
1314C2×C4—592no—
1315C2×C4—592no—
1316C2×C4—593no—
1317C2×C4—593no—
1318C2×C4—596no—
1319C2×C4—1186no—
1320C2×C4—1182no—
1321C2×C4—1186no—
1322C2×C4—1186no—
1323C2×C4—1186no—
1324C2×C4—1186no—
1325C2×C4—1186no—
1326C2×C4—1182no—
1327C2×C4—1186no—
1328C2×C4—1186no—
1329C2×C4—1186no—
1330C2×C4—11812no—
1331C2×C4—1186no—
1332C2×C4—11812no—
1333C2×C4—2363no—
1334C2×C4—2363no—
1335C2×C4—23612no—
1336C2×C4—2366no—
1337C2×C4—2366no—
1338C2×C4C2×#11745685112yescomplemented
1339C2×C4C24×D5911yescharacteristic
1340C2×C4C24×D5913yes—
1341C2×C4C24×D5913yes—
1342C2×C4C24×D5912yes—
1343C2×C4C24×D5912yes—
1344C2×C4C24×D5916yes—
1345C2×C4C24×D5913yes—
1346C2×C4C24×D5911yescharacteristic
1347C2×C4C24×D5911yescharacteristic
1348C22—23no—
1349C22—23no—
1350C22—26no—
1351C22—26no—
1352C22—26no—
1353C22—812no—
1354C22—592no—
1355C22—1181no—
1356C22—1181no—
1357C22—1183no—
1358C22—1186no—
1359C22—1183no—
1360C22—1186no—
1361C22—1183no—
1362C22—1186no—
1363C22—47212no—
1364C22—23612no—
1365C22C22×#1174568516yes—
1366C22C25×D5911yescharacteristic
1367C4—22no—
1368C4—23no—
1369C4—26no—
1370C4—21no—
1371C4—23no—
1372C4—22no—
1373C4—592no—
1374C4—592no—
1375C4—1181no—
1376C4—1182no—
1377C4—1183no—
1378C4—1183no—
1379C4—1186no—
1380C4—1183no—
1381C4—1182no—
1382C4C22×#1174568516yes—
1383C4C22×#1174568512yes—
1384C4H(5,𝔽2)×D5912yes—
1385C2—26no—
1386C2—46no—
1387C2—1182no—
1388C2—2366no—
1389C2—2363no—
1390C2C23×#1174568511yescharacteristic
1391C2C2×H(5,𝔽2)×D5911yescharacteristic
1392C2#585×D5911yescharacteristic
subgroupG/H
centerC2×C4C24×D59
commutator, socle, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC4×H(5,𝔽2)×C59C2
hypercenterC4×H(5,𝔽2)D59
hypocenterC59#62800
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C4×H(5,𝔽2)

Complements

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

NH ≅ G/Ntype
1. #21438175C2semidirect
2. #21438118C2semidirect
3. #21438096C2semidirect
4. #21438047C2semidirect
5. #21437999C2semidirect
6. #21437967C2semidirect
7. #21437909C2semidirect
8. #21437870C2semidirect
9. #21437832C2semidirect
10. #21437821C2semidirect
11. #21437766C2semidirect
12. #21437758C2semidirect
13. #21437722C2semidirect
14. #21437700C2semidirect
15. #21437694C2semidirect
16. D4×#11745685C2semidirect
17. #21437518C2semidirect
18. #21437512C2semidirect
19. #21437389C2semidirect
20. C2×#16837949C2semidirect
21. C4×#14273773C2semidirect
22. C4×#41×D59C2semidirect
23. C4×H(5,𝔽2)×C59C2semidirect
25. C22×#11745685C22semidirect
27. #16838135C22semidirect
28. #16838135C22semidirect
29. Q8×Dic118C22semidirect
30. #16838128C22semidirect
31. #16838120C22semidirect
32. #16838117C22semidirect
33. #16838115C22semidirect
34. #16838115C22semidirect
35. #16838111C22semidirect
36. #16838107C22semidirect
37. #16838102C22semidirect
38. #16838102C22semidirect
39. #16838101C22semidirect
40. #16838100C22semidirect
41. #16838096C22semidirect
42. #16838081C22semidirect
43. #16838078C22semidirect
44. #16838074C22semidirect
45. #16838073C22semidirect
46. #16838073C22semidirect
47. #16838071C22semidirect
48. #16838071C22semidirect
49. #16838071C22semidirect
50. D4×Dic118C22semidirect
51. #16838064C22semidirect
52. #16838061C22semidirect
53. #16838059C22semidirect
54. #16838057C22semidirect
55. #16838053C22semidirect
56. #16838053C22semidirect
57. #16838048C22semidirect
58. #16838047C22semidirect
59. #16838046C22semidirect
60. #16838042C22semidirect
61. #16838042C22semidirect
62. #16838042C22semidirect
63. D4×D236C22semidirect
64. D4×C22⋊D59C22semidirect
65. D4×C22⋊D59C22semidirect
66. D4×C22⋊D59C22semidirect
67. #16838033C22semidirect
68. #16838030C22semidirect
69. #16838024C22semidirect
70. #16838023C22semidirect
71. #16838017C22semidirect
72. #16838017C22semidirect
73. #16838007C22semidirect
74. #16838003C22semidirect
75. #16838003C22semidirect
76. #16838003C22semidirect
77. #16837990C22semidirect
78. #16837985C22semidirect
79. #16837983C22semidirect
80. #16837980C22semidirect
81. #16837971C22semidirect
82. #16837969C22semidirect
83. #16837969C22semidirect
84. #16837966C22semidirect
85. #16837956C22semidirect
86. #16837956C22semidirect
87. #16837955C22semidirect
88. #16837952C22semidirect
89. #16837949C22semidirect
90. #16837949C22semidirect
91. #16837949C22semidirect
92. #16837949C22semidirect
93. #16837949C22semidirect
94. #16837949C22semidirect
95. #16837949C22semidirect
96. #16837949C22semidirect
97. #16837949C22semidirect
98. #16837949C22semidirect
99. #16837948C22semidirect
100. C2×#14273726C22semidirect
101. C2×#14273723C22semidirect
102. #16837939C22semidirect
103. #16837939C22semidirect
104. #16837936C22semidirect
105. #16837934C22semidirect
106. #16837934C22semidirect
107. #16837934C22semidirect
108. #16837932C22semidirect
109. #16837932C22semidirect
110. #16837930C22semidirect
111. #16837930C22semidirect
112. C2×#14273713C22semidirect
113. #16837914C22semidirect
114. #16837913C22semidirect
115. #16837911C22semidirect
116. #16837911C22semidirect
117. #16837911C22semidirect
118. #16837909C22semidirect
119. C2×#14273702C22semidirect
120. C2×#14273700C22semidirect
121. C2×#14273698C22semidirect
123. #16837884C22semidirect
124. #16837882C22semidirect
125. #16837876C22semidirect
126. #16837874C22semidirect
128. C4×#11745689C22semidirect
129. C4×#11745689C22semidirect
130. C4×#11745689C22semidirect
131. C4×#11745685C22semidirect
132. C4×#11745685C22semidirect
133. C4×#11745685C22semidirect
134. C4×#11745685C22semidirect
135. #16837870C22semidirect
136. C4×#11745687C22semidirect
137. C4×#11745687C22semidirect
138. C4×Q8×D59C22semidirect
139. C4×Q8×D59C22semidirect
140. C2×C4×D236C22semidirect
141. C2×C4×C22⋊D59C22semidirect
142. C4×D4×D59C22semidirect
143. C4×D4×D59C22semidirect
144. C4×D4×D59C22semidirect
145. #117×D59C22semidirect
146. C2×C42×D59C22semidirect
149. C59×#520C22semidirect
150. C59×#520C22semidirect
151. C59×#518C22semidirect
152. C59×#518C22semidirect
154. C4×#41×C59C22semidirect
155. C4×#41×C59C22semidirect
156. C2×C4×D4×C59C22semidirect
157. C2×C4×D4×C59C22semidirect
407. #41×C59#41semidirect
580. Q8×C59C2×#41semidirect
584. D4×C59C2×#41semidirect
592. C2×C4×C59C2×#41semidirect
645. C4×D59H(5,𝔽2)semidirect
710. C4×H(5,𝔽2)D59semidirect
823. #520C2×D59semidirect
824. #520C2×D59semidirect
827. #518C2×D59semidirect
828. #518C2×D59semidirect
841. C4×#41C2×D59semidirect
842. C4×#41C2×D59semidirect
850. C2×C4×D4C2×D59semidirect
851. C2×C4×D4C2×D59semidirect
854. C59#62800semidirect
1114. #41#11745685semidirect
1282. Q8C2×#11745685semidirect
1301. D4C2×#11745685semidirect
1338. C2×C4C2×#11745685semidirect

Maximal subgroups

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

subgroupindex
#214381752
#214381182
#214380962
#214380472
#214379992
#214379672
#214379092
#214378702
#214378322
#214378212
#214377662
#214377582
#214377222
#214377002
#214376942
D4×#117456852
#214375182
#214375122
#214373892
C2×#168379492
C4×#142737732
C4×#41×D592
C4×H(5,𝔽2)×C592
#6280059