Finite Group Databasebeta

← #28293197

Subgroups — #28293197

Order 13568.

11618 conjugacy classes of subgroups.

The subgroup lattice has 1220 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811458C211yesmaximal, characteristic, complemented
2C2×H(5,𝔽2)×D53C211yesmaximal, characteristic, complemented
3#20288508C211yesmaximal, characteristic, complemented
4#20288507C213yesmaximal, complemented
5#20288503C211yesmaximal, characteristic, complemented
6#20288502C213yesmaximal, complemented
7#20288491C213yesmaximal, complemented
8#20288490C213yesmaximal, complemented
9#20288489C211yesmaximal, characteristic, complemented
10#20288383C214yesmaximal, complemented
11#20288375C2112yesmaximal, complemented
12#20288368C214yesmaximal, complemented
13#20288343C2112yesmaximal, complemented
14#20288046C213yesmaximal, complemented
15#20288042C213yesmaximal, complemented
16C2×#16811186C213yesmaximal, complemented
17#535×D53C213yesmaximal, complemented
18#20287914C211yesmaximal, characteristic, complemented
19C53×#3498C211yesmaximal, characteristic, complemented
20#16811458—216no—
21C2×#13133264C2211yescharacteristic, complemented
22C2×#13133264C2212yescomplemented
23C2×#13133264C2213yescomplemented
24C2×#13133263C2212yescomplemented
25C2×#13133263C2211yescharacteristic, complemented
26C2×#13133263C2213yescomplemented
27C2×#13133262C2216yescomplemented
28C2×#13133262C2213yescomplemented
29C2×#13133262C2216yescomplemented
30C2×#13133262C2213yescomplemented
31H(5,𝔽2)×D53—216no—
32C22×#11719947C2213yescomplemented
33C22×#11719947C2216yescomplemented
34C2×#41×D53C2211yescharacteristic
35C2×#41×D53C2213yescomplemented
36C2×#41×D53C2212yescomplemented
37C2×#41×D53C2213yescomplemented
38C2×#41×D53C2212yescomplemented
39C22×D4×D53C2213yescomplemented
40C22×D4×D53C2216yescomplemented
41#16811293C22112yescomplemented
42#16811292C2214yescomplemented
43#16811291C22112yescomplemented
44#16811285C2214yescomplemented
45#16811282C22112yescomplemented
46#16811280C2214yescomplemented
47#16811279C22112yescomplemented
48#16811270C22112yescomplemented
49#16811269C22112yescomplemented
50#16811268C22112yescomplemented
51#16811267C22112yescomplemented
52#16811262C22124yescomplemented
53#16811260C22124yescomplemented
54#16811258C22112yescomplemented
55#16811257C22112yescomplemented
56D4×C22⋊D53C22112yescomplemented
57D4×C22⋊D53C22124yescomplemented
58#16811255C22124yescomplemented
59#16811202C22112yescomplemented
60#16811200C22112yescomplemented
61#16811199C2213yescomplemented
62#16811198C2211yescharacteristic, complemented
63#16811198C2213yescomplemented
64#16811194C2213yescomplemented
65#16811193C2213yescomplemented
66#16811193C2213yescomplemented
67#16811192C2213yescomplemented
68#16811191C2213yescomplemented
69#16811191C2213yescomplemented
70#16811190C2213yescomplemented
71#16811190C2213yescomplemented
72#16811189C22112yescomplemented
73#16811188C22112yescomplemented
74#16811187C2213yescomplemented
75#16811186C2216yescomplemented
76#16811186C2213yescomplemented
77#16811186C22112yescomplemented
78#16811186C22112yescomplemented
79#16811186C2216yescomplemented
80#16811186C2216yescomplemented
81#16811186C2213yescomplemented
82#16811183C22112yescomplemented
83#16811181C22112yescomplemented
84#16811173C2213yescomplemented
85#16811172C2216yescomplemented
86#16811171C2216yescomplemented
87#16811169C2213yescomplemented
88#16811169C2213yescomplemented
89C2×#13133213C2213yescomplemented
90#127×D53C2216yescomplemented
91C2×#13133205C2213yescomplemented
92C2×#13133204C2213yescomplemented
93#124×D53C2216yescomplemented
94#16811133C22112yescomplemented
95#16811132C22112yescomplemented
96#16811132C22112yescomplemented
97#16811129C22112yescomplemented
98C2×#13133189C22112yescomplemented
99#121×D53C22112yescomplemented
100C2×#13133185C22112yescomplemented
101#120×D53C22112yescomplemented
102#16811105C2212yescomplemented
103#16811102C2216yescomplemented
104#16811099C2212yescomplemented
105#16811095C2216yescomplemented
106#41×Dic53C2211yescharacteristic, complemented
107C4×#11719945C2213yescomplemented
108#16811091C2213yescomplemented
109C2×#13133174C2213yescomplemented
110#117×D53C2213yescomplemented
111C2×H(5,𝔽2)×C53C2211yescharacteristic, complemented
112C2×H(5,𝔽2)×C53C2211yescharacteristic, complemented
113C53×#550C2214yescomplemented
114D42×C53C22112yescomplemented
115C53×#535C2213yescomplemented
116C53×#535C2213yescomplemented
117C53×#532C2213yescomplemented
118C2×#127×C53C2213yescomplemented
119C4×#41×C53C2211yescharacteristic, complemented
120C24×D53C2316yes—
121#13133264—28no—
122#13133264—216no—
123#13133264—224no—
124#13133263—28no—
125#13133263—216no—
126#13133263—224no—
127#13133262—248no—
128#13133262—248no—
129#13133262—224no—
130#13133262—224no—
131C2×#11719949C2312yes—
132C2×#11719949C2313yes—
133C2×#11719949C2311yescharacteristic
134C2×#11719949C2311yescharacteristic
135C2×#11719945C2316yes—
136C2×#11719945C2316yes—
137C2×#11719945C2316yes—
138C2×#11719945C2313yes—
139C2×#11719945C2313yes—
140C2×#11719945C2316yescomplemented
141C2×#11719945C2313yescomplemented
142C2×#11719947—248no—
143C2×#11719947—224no—
144C2×#11719947C2316yes—
145C2×#11719947C2316yes—
146C2×#11719947C2316yes—
147C2×#11719947C2313yes—
148C2×#11719947C2313yes—
149C2×#11719947C2313yes—
150C2×#11719947C2316yescomplemented
151C2×#11719947C2316yescomplemented
152C2×#11719947C2316yescomplemented
153C2×#11719947C2316yescomplemented
154C2×#11719947C2316yescomplemented
155C2×#11719947C23112yescomplemented
156#41×D53—216no—
157#41×D53—216no—
158#41×D53—224no—
159#41×D53—224no—
160#41×D53D4116yescomplemented
161C22×Dic106C2316yescomplemented
162C22×Dic106C2313yescomplemented
163C2×Q8×D53C2311yescharacteristic
164C2×Q8×D53C2311yescharacteristic
165C2×Q8×D53C2312yescomplemented
166C2×Q8×D53C2313yescomplemented
167C22×D212C2316yes—
168C22×D212C2313yes—
169C22×C22⋊D53C2316yes—
170C22×C22⋊D53C2316yes—
171C22×C22⋊D53C23112yes—
172C22×C22⋊D53C23112yescomplemented
173C22×C22⋊D53C23112yescomplemented
174C2×D4×D53—248no—
175C2×D4×D53—224no—
176C2×D4×D53C2316yes—
177C2×D4×D53C2316yes—
178C2×D4×D53C2316yes—
179C2×D4×D53C2316yes—
180C2×D4×D53C2316yes—
181C2×D4×D53C2316yes—
182C2×D4×D53C2313yes—
183C2×D4×D53C2316yes—
184C2×D4×D53C23112yes—
185C2×D4×D53C2313yes—
186C2×D4×D53C2313yescomplemented
187C2×D4×D53C2316yescomplemented
188C2×D4×D53C23124yescomplemented
189C23×Dic53C2316yescomplemented
190C22×C4×D53C2316yes—
191C22×C4×D53C2313yes—
192C22×C4×D53C2316yescomplemented
193#13133217C2313yescomplemented
194#13133215C2311yescharacteristic, complemented
195#13133215C2313yescomplemented
196#13133214C2313yescomplemented
197#13133213C23112yescomplemented
198#13133213C23124yescomplemented
199#13133213C2313yescomplemented
200#13133213C2316yescomplemented
201#13133213C2313yescomplemented
202#13133206C2313yescomplemented
203#13133206C2311yescharacteristic, complemented
204#13133205C23112yescomplemented
205#13133205C2316yescomplemented
206#13133205C2313yescomplemented
207#13133205C2311yescharacteristic, complemented
208#13133204C23112yescomplemented
209#13133204C2316yescomplemented
210#13133204C2313yescomplemented
211#13133204C2313yescomplemented
212#13133203C23124yescomplemented
213#13133202C2314yes—
214#13133202C23112yescomplemented
215#13133201C23112yescomplemented
216#13133199C23112yes—
217#13133199C23112yescomplemented
218#13133198C23112yescomplemented
219#13133197C23112yescomplemented
220#13133196C23112yescomplemented
221#13133195C23112yescomplemented
222#13133195C2314yescomplemented
223#13133194C23112yescomplemented
224#13133194C23112yescomplemented
225#13133192C23112yescomplemented
226#13133191C23112yescomplemented
227#13133191C23112yescomplemented
228#13133190C23124yescomplemented
229#13133190C23112yescomplemented
230#13133190C23112yescomplemented
231#13133189C23112yescomplemented
232#13133189C23124yescomplemented
233#13133189C23124yescomplemented
234#13133189C23112yescomplemented
235#13133189C23124yescomplemented
236#13133189C23112yescomplemented
237#13133189C23112yescomplemented
238#13133188C23112yescomplemented
239#13133188C23124yescomplemented
240#13133188C23112yescomplemented
241#13133187C23112yes—
242#13133187C23112yescomplemented
243#13133187C23112yescomplemented
244#13133186C23112yescomplemented
245#13133186C23112yescomplemented
246#13133185C23124yes—
247#13133185C23112yes—
248#13133185C23124yescomplemented
249#13133185C23124yescomplemented
250#13133185C23112yescomplemented
251#13133185C23112yescomplemented
252Q8×Dic53C2312yescomplemented
253C4×Dic106C2316yescomplemented
254#13133182C2316yescomplemented
255C4×D212C23112yescomplemented
256C4×D212C2316yescomplemented
257D4×Dic53C2316yescomplemented
258D4×Dic53C23124yescomplemented
259#13133179C2316yescomplemented
260C4×C22⋊D53C23112yescomplemented
261C4×C22⋊D53C23112yescomplemented
262C4×C22⋊D53C23112yescomplemented
263#13133177C23124yescomplemented
264#13133177C23112yescomplemented
265#13133176C2313yescomplemented
266#13133175C2316yes—
267#13133174C2313yes—
268#13133174C2311yescharacteristic
269#13133174C2316yes—
270#13133174C2313yescomplemented
271#13133174C2313yescomplemented
272#13133174C2316yescomplemented
273#13133173C2316yescomplemented
274C2×#11719919C2316yescomplemented
275C4⋊C4×D53C2316yescomplemented
276C2×C22⋊Dic53C23112yescomplemented
277C2×#11719921C2316yes—
278C2×#11719921C23112yescomplemented
279C22⋊C4×D53C2316yes—
280C22⋊C4×D53C23124yescomplemented
281C2×C4×Dic53C2313yescomplemented
282C42×D53C2316yescomplemented
283H(5,𝔽2)×C53—28no—
284H(5,𝔽2)×C53—28no—
285C2×#41×C53C2312yes—
286C2×#41×C53C2313yes—
287C2×#41×C53C2311yescharacteristic
288C2×#41×C53C2312yescomplemented
289C2×#41×C53C2313yescomplemented
290C22×D4×C53C2316yes—
291C22×D4×C53C2313yes—
292C22×D4×C53C2313yescomplemented
293C22×D4×C53C2316yescomplemented
294C22×D4×C53C23112yescomplemented
295C4⋊Q8×C53C2311yescharacteristic, complemented
296#127×C53C23112yescomplemented
297#127×C53C2313yescomplemented
298#127×C53C2316yescomplemented
299#124×C53C2313yescomplemented
300#124×C53C2313yescomplemented
301#121×C53C23112yescomplemented
302#121×C53C23112yescomplemented
303#121×C53C23112yescomplemented
304#120×C53C23112yescomplemented
305#120×C53C23112yescomplemented
306C4×Q8×C53C2312yescomplemented
307C4×D4×C53C2316yescomplemented
308C4×D4×C53C23112yescomplemented
309#117×C53C2313yescomplemented
310C2×C42×C53C2313yescomplemented
311C24×C53C2416yes—
312C24×C53C2416yes—
313C23×D53—224no—
314C23×D53—812no—
315C23×D53C24112yes—
316C23×D53C2416yes—
317C23×D53C2416yes—
318C23×D53C2416yes—
319C23×D53C2413yes—
320#41×C53—28no—
321#41×C53—28no—
322#41×C53—212no—
323#41×C53—212no—
324#41×C53C2×D418yescomplemented
325C2×Q8×C53C2411yescharacteristic
326C2×Q8×C53C2411yescharacteristic
327C2×Q8×C53C2411yescharacteristic
328C2×D4×C53—224no—
329C2×D4×C53—224no—
330C2×D4×C53—212no—
331C2×D4×C53—212no—
332C2×D4×C53—812no—
333C2×D4×C53C2416yes—
334C2×D4×C53C2416yes—
335C2×D4×C53C2416yes—
336C2×D4×C53C2416yes—
337C2×D4×C53C2413yes—
338C2×D4×C53C2413yes—
339C2×D4×C53C24112yes—
340C2×D4×C53C24124yes—
341C2×D4×C53C2413yes—
342C22×C4×C53C2416yes—
343C22×C4×C53C2416yes—
344C22×C4×C53C2416yes—
345C22×C4×C53C2413yes—
346C2×C22⋊D53—224no—
347C2×C22⋊D53—248no—
348C2×C22⋊D53—248no—
349C2×C22⋊D53—224no—
350C2×C22⋊D53—812no—
351C2×C22⋊D53C2416yes—
352C2×C22⋊D53C24112yes—
353C2×C22⋊D53C2416yes—
354C2×C22⋊D53C2416yes—
355C2×C22⋊D53C2416yes—
356C2×C22⋊D53C2416yes—
357C2×C22⋊D53C24112yes—
358C2×C22⋊D53C2416yes—
359C2×C22⋊D53C24124yes—
360C2×C22⋊D53C24112yes—
361C2×C22⋊D53C24112yes—
362C2×C22⋊D53C2416yes—
363C22×Dic53—224no—
364C22×Dic53C2416yes—
365C22×Dic53C24112yes—
366C22×Dic53C2416yes—
367C22×Dic53C2416yes—
368C22×Dic53C2416yes—
369C22×Dic53C2413yes—
370#11719949—28no—
371#11719949—24no—
372#11719949—212no—
373#11719949C2×D418yescomplemented
374Q8×D53—28no—
375Q8×D53—24no—
376Q8×D53—212no—
377Q8×D53C2×D418yescomplemented
378#11719947—224no—
379#11719947—248no—
380#11719947—224no—
381#11719947—224no—
382#11719947—212no—
383#11719947—224no—
384#11719947—212no—
385#11719947—224no—
386#11719947—224no—
387#11719947—224no—
388#11719947—224no—
389#11719947C2×D4124yescomplemented
390D4×D53—224no—
391D4×D53—224no—
392D4×D53—224no—
393D4×D53—248no—
394D4×D53—224no—
395D4×D53—224no—
396D4×D53—224no—
397D4×D53—212no—
398D4×D53—224no—
399D4×D53—224no—
400D4×D53—212no—
401D4×D53—824no—
402D4×D53C2×D4124yescomplemented
403#11719945—212no—
404#11719945—212no—
405#11719945—224no—
406#11719945—224no—
407#11719945—224no—
408#11719945—224no—
409#11719945C2×D4124yescomplemented
410C2×D212—212no—
411C2×D212—224no—
412C2×D212C2412yes—
413C2×D212C2416yes—
414C2×D212C2416yes—
415C2×D212C2413yes—
416C2×D212C2411yescharacteristic
417C2×D212C24112yes—
418C2×D212C2413yes—
419C2×C4×D53—224no—
420C2×C4×D53—224no—
421C2×C4×D53C2×D4124yescomplemented
422C2×C4×D53C2416yes—
423C2×C4×D53C2416yes—
424C2×C4×D53C2416yes—
425C2×C4×D53C2416yes—
426C2×C4×D53C2412yes—
427C2×C4×D53C2412yes—
428C2×C4×D53C24112yes—
429C2×C4×D53C2413yes—
430C2×C4×D53C2413yes—
431C2×C4×D53C2411yescharacteristic
432C2×C4×D53C2413yes—
433C2×Dic106—212no—
434C2×Dic106—224no—
435C2×Dic106C2412yes—
436C2×Dic106C2416yes—
437C2×Dic106C2416yes—
438C2×Dic106C2413yes—
439C2×Dic106C2411yescharacteristic
440C2×Dic106C2413yes—
441C4⋊C4×C53C2416yes—
442C4⋊C4×C53C2414yes—
443C22⋊C4×C53C2416yes—
444C22⋊C4×C53C24112yes—
445C22⋊C4×C53C24112yes—
446C42×C53C2411yescharacteristic
447C42×C53C2413yes—
448C42×C53C2416yes—
449C22⋊Dic53C2416yes—
450C22⋊Dic53C24124yes—
451C22⋊Dic53C24112yes—
452C22⋊Dic53C24112yes—
453#11719921C2416yes—
454#11719921C24112yes—
455#11719921C24124yes—
456#11719921C2412yes—
457#11719921C2416yes—
458#11719921C2416yes—
459#11719921C24112yes—
460#11719921C2414yes—
461#11719921C2414yes—
462C4⋊Dic53C2416yes—
463C4⋊Dic53C24112yes—
464#11719919C2416yes—
465#11719919C2412yes—
466#11719919C2416yes—
467#11719919C2416yes—
468#11719919C24112yes—
469#11719919C2414yes—
470C4×Dic53C2413yes—
471C4×Dic53C24112yes—
472C4×Dic53C2411yescharacteristic
473C4×Dic53C2416yes—
474C23×C53—212no—
475C23×C53—212no—
476C23×C53—412no—
477C23×C53—412no—
478C23×C53C2516yes—
479C23×C53C2516yes—
480C23×C53C2513yes—
481C22×D53—212no—
482C22×D53—212no—
483C22×D53—212no—
484C22×D53—224no—
485C22×D53—46no—
486C22×D53—412no—
487C22×D53—412no—
488C22×D53—424no—
489C22×D53—412no—
490C22×D53—848no—
491C22×D53C22×D4112yes—
492C22×D53C2512yes—
493C22×D53C2516yes—
494C22×D53C2513yes—
495C22×D53C2511yescharacteristic
496Q8×C53—22no—
497Q8×C53—22no—
498Q8×C53C22×D414yes—
499D4×C53—212no—
500D4×C53—212no—
501D4×C53—26no—
502D4×C53—212no—
503D4×C53—26no—
504D4×C53—212no—
505D4×C53—424no—
506D4×C53—412no—
507D4×C53C22×D4112yes—
508C2×C4×C53—212no—
509C2×C4×C53—212no—
510C2×C4×C53—46no—
511C2×C4×C53C22×D4112yes—
512C2×C4×C53C2512yes—
513C2×C4×C53C2512yes—
514C2×C4×C53C2516yes—
515C2×C4×C53C2512yes—
516C2×C4×C53C2511yescharacteristic
517C2×C4×C53C2513yes—
518C22⋊D53—212no—
519C22⋊D53—212no—
520C22⋊D53—212no—
521C22⋊D53—212no—
522C22⋊D53—224no—
523C22⋊D53—224no—
524C22⋊D53—212no—
525C22⋊D53—212no—
526C22⋊D53—412no—
527C22⋊D53—424no—
528C22⋊D53—412no—
529C22⋊D53C22×D4124yes—
530C2×Dic53—212no—
531C2×Dic53—224no—
532C2×Dic53—212no—
533C2×Dic53—212no—
534C2×Dic53—46no—
535C2×Dic53C22×D4112yes—
536C2×Dic53C2516yes—
537C2×Dic53C2512yes—
538C2×Dic53C2516yes—
539C2×Dic53C2512yes—
540C2×Dic53C2513yes—
541C2×Dic53C2511yescharacteristic
542D212—212no—
543D212—24no—
544D212—26no—
545D212—212no—
546D212—22no—
547D212—412no—
548D212C22×D4112yes—
549C4×D53—24no—
550C4×D53—212no—
551C4×D53—212no—
552C4×D53—212no—
553C4×D53—24no—
554C4×D53—212no—
555C4×D53—412no—
556C4×D53C22×D4112yes—
557C4×D53C22×D4112yes—
558C4×D53C22×D414yes—
559C4×D53C22×D4112yes—
560Dic106—26no—
561Dic106—212no—
562Dic106—22no—
563Dic106—212no—
564Dic106—24no—
565Dic106C22×D4112yes—
566#62852—531nomaximal, Sylow
567C22×C53—26no—
568C22×C53—26no—
569C22×C53—26no—
570C22×C53—212no—
571C22×C53—212no—
572C22×C53—812no—
573C22×C53—812no—
574C22×C53C23×D416yes—
575C22×C53C2611yescharacteristic
576C2×D53—26no—
577C2×D53—22no—
578C2×D53—22no—
579C2×D53—26no—
580C2×D53—24no—
581C2×D53—212no—
582C2×D53—412no—
583C2×D53—424no—
584C2×D53—812no—
585C2×D53—824no—
586C2×D53—812no—
587C2×D53C23×D412yes—
588C2×D53C23×D416yes—
589C4×C53—22no—
590C4×C53—22no—
591C4×C53—26no—
592C4×C53—22no—
593C4×C53C23×D412yes—
594C4×C53C23×D416yes—
595Dic53—26no—
596Dic53—22no—
597Dic53—26no—
598Dic53—22no—
599Dic53C23×D416yes—
600Dic53C23×D412yes—
601C2×#585—531no—
602C22×H(5,𝔽2)—531no—
603#3500—531no—
604#3500—533no—
605#3500—533no—
606#3500—531no—
607#3498—531no—
608#3498—533no—
609#3498—533no—
610#3498D5311yescharacteristic, complemented
611#3488—534no—
612#3488—5312no—
613#3487—534no—
614#3484—5312no—
615#3449—533no—
616#3449—533no—
617C2×#535—533no—
618C2×#535—533no—
619#3428—531no—
620C2×C53—26no—
621C2×C53—46no—
622C2×C53—46no—
623C2×C53C24×D411yescharacteristic
624C2×C53H(7,𝔽2)12yes—
625D53—22no—
626D53—26no—
627D53—46no—
628D53—42no—
629#585—10616no—
630C2×2−1+4—531no—
631C2×2−1+4—532no—
632C2×2−1+4—533no—
633C2×H(5,𝔽2)—532no—
634C2×H(5,𝔽2)—533no—
635C2×H(5,𝔽2)—531no—
636C2×H(5,𝔽2)—536no—
637C2×H(5,𝔽2)—533no—
638C2×H(5,𝔽2)—536no—
639C2×H(5,𝔽2)—533no—
640C2×H(5,𝔽2)—10616no—
641C2×H(5,𝔽2)C2×D5311yescharacteristic, complemented
642C2×H(5,𝔽2)C2×D5311yescharacteristic, complemented
643C22×#41—531no—
644C22×#41—533no—
645C22×#41—532no—
646C22×#41—533no—
647C22×#41—532no—
648C22×#41—533no—
649C22×#41—536no—
650C23×D4—533no—
651C23×D4—536no—
652#550—534no—
653#550—5312no—
654#550—5312no—
655#550C2×D5314yescomplemented
656#548—534no—
657#548—5312no—
658#548—534no—
659#548—5312no—
660#546—5312no—
661#546—5312no—
662#546—5324no—
663#546—5324no—
664#546—5312no—
665#546—5312no—
666D42—5312no—
667D42—5324no—
668D42—5312no—
669D42—5312no—
670D42—5324no—
671D42C2×D53112yescomplemented
672#537—5312no—
673#537—5312no—
674#536—533no—
675#536—531no—
676#536—533no—
677#536—533no—
678#536—533no—
679#536—533no—
680#535—533no—
681#535—533no—
682#535—533no—
683#535—536no—
684#535—533no—
685#535—5312no—
686#535—5312no—
687#535—536no—
688#535—536no—
689#535—533no—
690#535—533no—
691#535—533no—
692#535—5312no—
693#535—5312no—
694#535—533no—
695#535C2×D5313yescomplemented
696#535C2×D5313yescomplemented
697#534—5312no—
698#534—5312no—
699#532—533no—
700#532—533no—
701#532—536no—
702#532—536no—
703#532—533no—
704#532C2×D5313yescomplemented
705C2×#127—533no—
706C2×#127—536no—
707C2×#127C2×D5313yescomplemented
708C2×#124—533no—
709C2×#124—536no—
710C2×#124—533no—
711#525—5312no—
712#525—5312no—
713#525—5312no—
714#525—5312no—
715C2×#121—5312no—
716C2×#121—5312no—
717C2×#120—5312no—
718C2×#120—5312no—
719#520—532no—
720#520—536no—
721#519—532no—
722#518—536no—
723C4×#41—531no—
724C4×#41—533no—
725C4×#41—533no—
726C4×#41C2×D5311yescharacteristic, complemented
727C2×#117—533no—
728C2×#117—533no—
729C53#6285211yescharacteristic, complemented, Sylow
730C25—536no—
7312−1+4—10616no—
7322−1+4—10624no—
7332−1+4—1068no—
734H(5,𝔽2)—28no—
735H(5,𝔽2)—28no—
736H(5,𝔽2)—10648no—
737H(5,𝔽2)—10648no—
738H(5,𝔽2)—10624no—
739H(5,𝔽2)—10624no—
740H(5,𝔽2)—10616no—
741H(5,𝔽2)—10624no—
742H(5,𝔽2)—1068no—
743C2×#41—5316no—
744C2×#41—531no—
745C2×#41—533no—
746C2×#41—531no—
747C2×#41—532no—
748C2×#41—533no—
749C2×#41—536no—
750C2×#41—536no—
751C2×#41—536no—
752C2×#41—533no—
753C2×#41—533no—
754C2×#41—536no—
755C2×#41—536no—
756C2×#41—536no—
757C2×#41—5312no—
758C2×#41—536no—
759C2×#41—536no—
760C2×#41—533no—
761C2×#41—536no—
762C2×#41—536no—
763C2×#41—533no—
764C2×#41—533no—
765C2×#41—536no—
766C2×#41—536no—
767C2×#41—10624no—
768C2×#41—10624no—
769C2×#41—10624no—
770C2×#41—10648no—
771C2×#41—10616no—
772C2×#41—10616no—
773C2×#41C22×D5313yes—
774C2×#41C22×D5312yes—
775C2×#41C22×D5311yescharacteristic
776C2×#41C22×D5313yescomplemented
777C2×#41C22×D5312yescomplemented
778C22×Q8—531no—
779C22×Q8—533no—
780C22×Q8—531no—
781C22×Q8—532no—
782C22×Q8—533no—
783C22×Q8—536no—
784C22×D4—533no—
785C22×D4—536no—
786C22×D4—536no—
787C22×D4—5312no—
788C22×D4—5312no—
789C22×D4—5312no—
790C22×D4—536no—
791C22×D4—536no—
792C22×D4—536no—
793C22×D4—533no—
794C22×D4—536no—
795C22×D4—533no—
796C22×D4—536no—
797C22×D4—536no—
798C22×D4—5312no—
799C22×D4—536no—
800C22×D4—536no—
801C22×D4—5324no—
802C22×D4—533no—
803C22×D4—536no—
804C22×D4—10624no—
805C22×D4—10648no—
806C22×D4C22×D5313yes—
807C22×D4C22×D5316yes—
808C22×D4C22×D5313yescomplemented
809C22×D4C22×D5316yescomplemented
810C22×D4C22×D53112yescomplemented
811C23×C4—533no—
812C23×C4—536no—
813C23×C4—536no—
814C23×C4—536no—
815C4⋊Q8—533no—
816C4⋊Q8—531no—
817C4⋊Q8—533no—
818C4⋊Q8C22×D5311yescharacteristic, complemented
819#127—533no—
820#127—536no—
821#127—533no—
822#127—5324no—
823#127—5312no—
824#127—533no—
825#127C22×D5316yescomplemented
826#127C22×D5313yescomplemented
827#127C22×D53112yescomplemented
828#124—533no—
829#124—531no—
830#124—533no—
831#124—536no—
832#124—5312no—
833#124—533no—
834#124—5324no—
835#124—536no—
836#124—533no—
837#124—5312no—
838#124—531no—
839#124C22×D5313yescomplemented
840#124C22×D5313yescomplemented
841#123—5312no—
842#123—534no—
843#123—5312no—
844#123—5312no—
845#123—5312no—
846#123—5312no—
847C22⋊Q8—5312no—
848C22⋊Q8—534no—
849C22⋊Q8—5312no—
850C22⋊Q8—5312no—
851C22⋊Q8—5312no—
852C22⋊Q8—5312no—
853#121—5324no—
854#121—5312no—
855#121—5312no—
856#121—5324no—
857#121—5324no—
858#121—5312no—
859#121—5312no—
860#121—5324no—
861#121—5312no—
862#121—5312no—
863#121—5312no—
864#121—5312no—
865#121—5312no—
866#121—5312no—
867#121—5312no—
868#121—5324no—
869#121C22×D53112yescomplemented
870#121C22×D53112yescomplemented
871#121C22×D53112yescomplemented
872#120—5312no—
873#120—5312no—
874#120—5324no—
875#120—5312no—
876#120—5324no—
877#120—5324no—
878#120—5312no—
879#120—5312no—
880#120—5312no—
881#120—5312no—
882#120—5312no—
883#120C22×D53112yescomplemented
884#120C22×D53112yescomplemented
885C4×Q8—532no—
886C4×Q8—536no—
887C4×Q8—536no—
888C4×Q8C22×D5312yescomplemented
889C4×D4—536no—
890C4×D4—5324no—
891C4×D4—5312no—
892C4×D4—5312no—
893C4×D4—5312no—
894C4×D4—536no—
895C4×D4—5312no—
896C4×D4—5324no—
897C4×D4—536no—
898C4×D4—5312no—
899C4×D4C22×D5316yescomplemented
900C4×D4C22×D53112yescomplemented
901#117—533no—
902#117—536no—
903#117—536no—
904#117—533no—
905#117—531no—
906#117—533no—
907#117—533no—
908#117—536no—
909#117—536no—
910#117C22×D5313yescomplemented
911C2×C4⋊C4—536no—
912C2×C4⋊C4—536no—
913C2×C22⋊C4—5312no—
914C2×C22⋊C4—536no—
915C2×C22⋊C4—5312no—
916C2×C22⋊C4—536no—
917C2×C22⋊C4—5324no—
918C2×C42—533no—
919C2×C42—536no—
920C2×C42C22×D5313yescomplemented
921C24—533no—
922C24—5312no—
923C24—536no—
924C24—536no—
925C24—536no—
926C24—10624no—
927C24—42412no—
928C24C23×D5316yes—
929C24C23×D5316yes—
930#41—28no—
931#41—28no—
932#41—212no—
933#41—212no—
934#41—538no—
935#41—5324no—
936#41—5324no—
937#41—10624no—
938#41—10624no—
939#41—10624no—
940#41—10624no—
941#41—10624no—
942#41—10612no—
943#41—10624no—
944#41—10624no—
945#41—10612no—
946#41—10624no—
947#41—10624no—
948#41—1064no—
949#41—10612no—
950#41—10648no—
951#41—10624no—
952#41—10624no—
953#41—1068no—
954#41—10624no—
955#41—10612no—
956#41—10612no—
957#41D4×D5318yescomplemented
958C2×Q8—538no—
959C2×Q8—533no—
960C2×Q8—532no—
961C2×Q8—536no—
962C2×Q8—536no—
963C2×Q8—533no—
964C2×Q8—531no—
965C2×Q8—10624no—
966C2×Q8—1064no—
967C2×Q8—10612no—
968C2×Q8—1068no—
969C2×Q8—10612no—
970C2×Q8C23×D5311yescharacteristic
971C2×Q8C23×D5311yescharacteristic
972C2×Q8C23×D5311yescharacteristic
973C2×D4—224no—
974C2×D4—224no—
975C2×D4—212no—
976C2×D4—212no—
977C2×D4—812no—
978C2×D4—536no—
979C2×D4—5324no—
980C2×D4—536no—
981C2×D4—5312no—
982C2×D4—536no—
983C2×D4—536no—
984C2×D4—536no—
985C2×D4—536no—
986C2×D4—5312no—
987C2×D4—536no—
988C2×D4—5324no—
989C2×D4—5312no—
990C2×D4—5312no—
991C2×D4—533no—
992C2×D4—532no—
993C2×D4—536no—
994C2×D4—536no—
995C2×D4—533no—
996C2×D4—531no—
997C2×D4—5312no—
998C2×D4—10624no—
999C2×D4—10612no—
1000C2×D4—10624no—
1001C2×D4—10624no—
1002C2×D4—10624no—
1003C2×D4—10612no—
1004C2×D4—10624no—
1005C2×D4—10648no—
1006C2×D4—10624no—
1007C2×D4—10624no—
1008C2×D4—10624no—
1009C2×D4—10624no—
1010C2×D4—10648no—
1011C2×D4—10648no—
1012C2×D4—10624no—
1013C2×D4—10624no—
1014C2×D4—10612no—
1015C2×D4—42424no—
1016C2×D4—42412no—
1017C2×D4C23×D5316yes—
1018C2×D4C23×D5316yes—
1019C2×D4C23×D5316yes—
1020C2×D4C23×D5316yes—
1021C2×D4C23×D5313yes—
1022C2×D4C23×D5313yes—
1023C2×D4C23×D53124yes—
1024C2×D4C23×D53112yes—
1025C2×D4C23×D5313yes—
1026C22×C4—533no—
1027C22×C4—5324no—
1028C22×C4—533no—
1029C22×C4—533no—
1030C22×C4—533no—
1031C22×C4—531no—
1032C22×C4—536no—
1033C22×C4—5312no—
1034C22×C4—536no—
1035C22×C4—536no—
1036C22×C4—536no—
1037C22×C4—536no—
1038C22×C4—536no—
1039C22×C4—536no—
1040C22×C4—536no—
1041C22×C4—532no—
1042C22×C4—532no—
1043C22×C4—5312no—
1044C22×C4—10624no—
1045C22×C4—10624no—
1046C22×C4—10624no—
1047C22×C4C23×D5316yes—
1048C22×C4C23×D5316yes—
1049C22×C4C23×D5316yes—
1050C22×C4C23×D5313yes—
1051C4⋊C4—536no—
1052C4⋊C4—532no—
1053C4⋊C4—536no—
1054C4⋊C4—536no—
1055C4⋊C4—536no—
1056C4⋊C4—5312no—
1057C4⋊C4—534no—
1058C4⋊C4—5312no—
1059C4⋊C4C23×D5316yes—
1060C4⋊C4C23×D5314yes—
1061C22⋊C4—5312no—
1062C22⋊C4—5324no—
1063C22⋊C4—536no—
1064C22⋊C4—5312no—
1065C22⋊C4—536no—
1066C22⋊C4—532no—
1067C22⋊C4—5312no—
1068C22⋊C4—5324no—
1069C22⋊C4—5312no—
1070C22⋊C4—536no—
1071C22⋊C4—536no—
1072C22⋊C4—534no—
1073C22⋊C4—534no—
1074C22⋊C4C23×D53112yes—
1075C22⋊C4C23×D5316yes—
1076C22⋊C4C23×D53112yes—
1077C42—531no—
1078C42—533no—
1079C42—5312no—
1080C42—536no—
1081C42C23×D5313yes—
1082C42C23×D5311yescharacteristic
1083C42C23×D5316yes—
1084C23—212no—
1085C23—212no—
1086C23—412no—
1087C23—412no—
1088C23—531no—
1089C23—533no—
1090C23—5312no—
1091C23—536no—
1092C23—532no—
1093C23—10612no—
1094C23—10624no—
1095C23—10612no—
1096C23—10612no—
1097C23—42448no—
1098C23—21212no—
1099C23—21212no—
1100C23—21224no—
1101C23—2126no—
1102C23—21212no—
1103C23C24×D5316yes—
1104C23C24×D5316yes—
1105C23C24×D5313yes—
1106Q8—22no—
1107Q8—22no—
1108Q8—5312no—
1109Q8—10612no—
1110Q8—1064no—
1111Q8—10612no—
1112Q8—1066no—
1113Q8—1062no—
1114Q8C2×D4×D5314yes—
1115D4—212no—
1116D4—212no—
1117D4—212no—
1118D4—26no—
1119D4—212no—
1120D4—26no—
1121D4—412no—
1122D4—424no—
1123D4—5324no—
1124D4—5312no—
1125D4—10612no—
1126D4—1064no—
1127D4—10612no—
1128D4—10624no—
1129D4—10612no—
1130D4—10612no—
1131D4—10612no—
1132D4—10624no—
1133D4—10612no—
1134D4—10612no—
1135D4—10612no—
1136D4—1066no—
1137D4—1062no—
1138D4—21212no—
1139D4—21224no—
1140D4—21212no—
1141D4—21212no—
1142D4C2×D4×D53112yes—
1143C2×C4—212no—
1144C2×C4—212no—
1145C2×C4—46no—
1146C2×C4—5312no—
1147C2×C4—533no—
1148C2×C4—531no—
1149C2×C4—534no—
1150C2×C4—5312no—
1151C2×C4—5312no—
1152C2×C4—5312no—
1153C2×C4—536no—
1154C2×C4—532no—
1155C2×C4—536no—
1156C2×C4—532no—
1157C2×C4—1064no—
1158C2×C4—10612no—
1159C2×C4—1064no—
1160C2×C4—10612no—
1161C2×C4—10612no—
1162C2×C4—10612no—
1163C2×C4—10624no—
1164C2×C4—10612no—
1165C2×C4—10612no—
1166C2×C4—10612no—
1167C2×C4—21212no—
1168C2×C4—2126no—
1169C2×C4C2×D4×D53112yes—
1170C2×C4C24×D5316yes—
1171C2×C4C24×D5312yes—
1172C2×C4C24×D5312yes—
1173C2×C4C24×D5312yes—
1174C2×C4C24×D5311yescharacteristic
1175C2×C4C24×D5313yes—
1176C22—26no—
1177C22—26no—
1178C22—26no—
1179C22—212no—
1180C22—212no—
1181C22—812no—
1182C22—812no—
1183C22—532no—
1184C22—536no—
1185C22—1066no—
1186C22—1062no—
1187C22—1062no—
1188C22—1066no—
1189C22—1064no—
1190C22—10612no—
1191C22—42412no—
1192C22—42424no—
1193C22—42412no—
1194C22—21212no—
1195C22—21224no—
1196C22C22×D4×D5316yes—
1197C22C25×D5311yescharacteristic
1198C4—22no—
1199C4—22no—
1200C4—22no—
1201C4—26no—
1202C4—532no—
1203C4—536no—
1204C4—1062no—
1205C4—1066no—
1206C4—1066no—
1207C4—1062no—
1208C4C22×D4×D5316yes—
1209C4C22×D4×D5312yes—
1210C2—26no—
1211C2—46no—
1212C2—46no—
1213C2—1066no—
1214C2—1062no—
1215C2—2126no—
1216C2—2122no—
1217C2C23×D4×D5311yescharacteristic
1218C2#2028952512yes—
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3498C2
hypercenter#3498D53
hypocenterC53#62852
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3498

Complements

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

NH ≅ G/Ntype
1. C2×#16811458C2semidirect
2. C2×H(5,𝔽2)×D53C2semidirect
3. #20288508C2semidirect
4. #20288507C2semidirect
5. #20288503C2semidirect
6. #20288502C2semidirect
7. #20288491C2semidirect
8. #20288490C2semidirect
9. #20288489C2semidirect
10. #20288383C2semidirect
11. #20288375C2semidirect
12. #20288368C2semidirect
13. #20288343C2semidirect
14. #20288046C2semidirect
15. #20288042C2semidirect
16. C2×#16811186C2semidirect
17. #535×D53C2semidirect
18. #20287914C2semidirect
19. C53×#3498C2semidirect
21. C2×#13133264C22semidirect
22. C2×#13133264C22semidirect
23. C2×#13133264C22semidirect
24. C2×#13133263C22semidirect
25. C2×#13133263C22semidirect
26. C2×#13133263C22semidirect
27. C2×#13133262C22semidirect
28. C2×#13133262C22semidirect
29. C2×#13133262C22semidirect
30. C2×#13133262C22semidirect
32. C22×#11719947C22semidirect
33. C22×#11719947C22semidirect
35. C2×#41×D53C22semidirect
36. C2×#41×D53C22semidirect
37. C2×#41×D53C22semidirect
38. C2×#41×D53C22semidirect
39. C22×D4×D53C22semidirect
40. C22×D4×D53C22semidirect
41. #16811293C22semidirect
42. #16811292C22semidirect
43. #16811291C22semidirect
44. #16811285C22semidirect
45. #16811282C22semidirect
46. #16811280C22semidirect
47. #16811279C22semidirect
48. #16811270C22semidirect
49. #16811269C22semidirect
50. #16811268C22semidirect
51. #16811267C22semidirect
52. #16811262C22semidirect
53. #16811260C22semidirect
54. #16811258C22semidirect
55. #16811257C22semidirect
56. D4×C22⋊D53C22semidirect
57. D4×C22⋊D53C22semidirect
58. #16811255C22semidirect
59. #16811202C22semidirect
60. #16811200C22semidirect
61. #16811199C22semidirect
62. #16811198C22semidirect
63. #16811198C22semidirect
64. #16811194C22semidirect
65. #16811193C22semidirect
66. #16811193C22semidirect
67. #16811192C22semidirect
68. #16811191C22semidirect
69. #16811191C22semidirect
70. #16811190C22semidirect
71. #16811190C22semidirect
72. #16811189C22semidirect
73. #16811188C22semidirect
74. #16811187C22semidirect
75. #16811186C22semidirect
76. #16811186C22semidirect
77. #16811186C22semidirect
78. #16811186C22semidirect
79. #16811186C22semidirect
80. #16811186C22semidirect
81. #16811186C22semidirect
82. #16811183C22semidirect
83. #16811181C22semidirect
84. #16811173C22semidirect
85. #16811172C22semidirect
86. #16811171C22semidirect
87. #16811169C22semidirect
88. #16811169C22semidirect
89. C2×#13133213C22semidirect
90. #127×D53C22semidirect
91. C2×#13133205C22semidirect
92. C2×#13133204C22semidirect
93. #124×D53C22semidirect
94. #16811133C22semidirect
95. #16811132C22semidirect
96. #16811132C22semidirect
97. #16811129C22semidirect
98. C2×#13133189C22semidirect
99. #121×D53C22semidirect
100. C2×#13133185C22semidirect
101. #120×D53C22semidirect
102. #16811105C22semidirect
103. #16811102C22semidirect
104. #16811099C22semidirect
105. #16811095C22semidirect
106. #41×Dic53C22semidirect
107. C4×#11719945C22semidirect
108. #16811091C22semidirect
109. C2×#13133174C22semidirect
110. #117×D53C22semidirect
111. C2×H(5,𝔽2)×C53C22semidirect
112. C2×H(5,𝔽2)×C53C22semidirect
113. C53×#550C22semidirect
114. D42×C53C22semidirect
115. C53×#535C22semidirect
116. C53×#535C22semidirect
117. C53×#532C22semidirect
118. C2×#127×C53C22semidirect
119. C4×#41×C53C22semidirect
140. C2×#11719945C23semidirect
141. C2×#11719945C23semidirect
150. C2×#11719947C23semidirect
151. C2×#11719947C23semidirect
152. C2×#11719947C23semidirect
153. C2×#11719947C23semidirect
154. C2×#11719947C23semidirect
155. C2×#11719947C23semidirect
160. #41×D53D4semidirect
161. C22×Dic106C23semidirect
162. C22×Dic106C23semidirect
165. C2×Q8×D53C23semidirect
166. C2×Q8×D53C23semidirect
172. C22×C22⋊D53C23semidirect
173. C22×C22⋊D53C23semidirect
186. C2×D4×D53C23semidirect
187. C2×D4×D53C23semidirect
188. C2×D4×D53C23semidirect
189. C23×Dic53C23semidirect
192. C22×C4×D53C23semidirect
193. #13133217C23semidirect
194. #13133215C23semidirect
195. #13133215C23semidirect
196. #13133214C23semidirect
197. #13133213C23semidirect
198. #13133213C23semidirect
199. #13133213C23semidirect
200. #13133213C23semidirect
201. #13133213C23semidirect
202. #13133206C23semidirect
203. #13133206C23semidirect
204. #13133205C23semidirect
205. #13133205C23semidirect
206. #13133205C23semidirect
207. #13133205C23semidirect
208. #13133204C23semidirect
209. #13133204C23semidirect
210. #13133204C23semidirect
211. #13133204C23semidirect
212. #13133203C23semidirect
214. #13133202C23semidirect
215. #13133201C23semidirect
217. #13133199C23semidirect
218. #13133198C23semidirect
219. #13133197C23semidirect
220. #13133196C23semidirect
221. #13133195C23semidirect
222. #13133195C23semidirect
223. #13133194C23semidirect
224. #13133194C23semidirect
225. #13133192C23semidirect
226. #13133191C23semidirect
227. #13133191C23semidirect
228. #13133190C23semidirect
229. #13133190C23semidirect
230. #13133190C23semidirect
231. #13133189C23semidirect
232. #13133189C23semidirect
233. #13133189C23semidirect
234. #13133189C23semidirect
235. #13133189C23semidirect
236. #13133189C23semidirect
237. #13133189C23semidirect
238. #13133188C23semidirect
239. #13133188C23semidirect
240. #13133188C23semidirect
242. #13133187C23semidirect
243. #13133187C23semidirect
244. #13133186C23semidirect
245. #13133186C23semidirect
248. #13133185C23semidirect
249. #13133185C23semidirect
250. #13133185C23semidirect
251. #13133185C23semidirect
252. Q8×Dic53C23semidirect
253. C4×Dic106C23semidirect
254. #13133182C23semidirect
255. C4×D212C23semidirect
256. C4×D212C23semidirect
257. D4×Dic53C23semidirect
258. D4×Dic53C23semidirect
259. #13133179C23semidirect
260. C4×C22⋊D53C23semidirect
261. C4×C22⋊D53C23semidirect
262. C4×C22⋊D53C23semidirect
263. #13133177C23semidirect
264. #13133177C23semidirect
265. #13133176C23semidirect
270. #13133174C23semidirect
271. #13133174C23semidirect
272. #13133174C23semidirect
273. #13133173C23semidirect
274. C2×#11719919C23semidirect
275. C4⋊C4×D53C23semidirect
276. C2×C22⋊Dic53C23semidirect
278. C2×#11719921C23semidirect
280. C22⋊C4×D53C23semidirect
281. C2×C4×Dic53C23semidirect
282. C42×D53C23semidirect
288. C2×#41×C53C23semidirect
289. C2×#41×C53C23semidirect
292. C22×D4×C53C23semidirect
293. C22×D4×C53C23semidirect
294. C22×D4×C53C23semidirect
295. C4⋊Q8×C53C23semidirect
296. #127×C53C23semidirect
297. #127×C53C23semidirect
298. #127×C53C23semidirect
299. #124×C53C23semidirect
300. #124×C53C23semidirect
301. #121×C53C23semidirect
302. #121×C53C23semidirect
303. #121×C53C23semidirect
304. #120×C53C23semidirect
305. #120×C53C23semidirect
306. C4×Q8×C53C23semidirect
307. C4×D4×C53C23semidirect
308. C4×D4×C53C23semidirect
309. #117×C53C23semidirect
310. C2×C42×C53C23semidirect
324. #41×C53C2×D4semidirect
373. #11719949C2×D4semidirect
377. Q8×D53C2×D4semidirect
389. #11719947C2×D4semidirect
402. D4×D53C2×D4semidirect
409. #11719945C2×D4semidirect
421. C2×C4×D53C2×D4semidirect
610. #3498D53semidirect
641. C2×H(5,𝔽2)C2×D53semidirect
642. C2×H(5,𝔽2)C2×D53semidirect
655. #550C2×D53semidirect
671. D42C2×D53semidirect
695. #535C2×D53semidirect
696. #535C2×D53semidirect
704. #532C2×D53semidirect
707. C2×#127C2×D53semidirect
726. C4×#41C2×D53semidirect
729. C53#62852semidirect
776. C2×#41C22×D53semidirect
777. C2×#41C22×D53semidirect
808. C22×D4C22×D53semidirect
809. C22×D4C22×D53semidirect
810. C22×D4C22×D53semidirect
818. C4⋊Q8C22×D53semidirect
825. #127C22×D53semidirect
826. #127C22×D53semidirect
827. #127C22×D53semidirect
839. #124C22×D53semidirect
840. #124C22×D53semidirect
869. #121C22×D53semidirect
870. #121C22×D53semidirect
871. #121C22×D53semidirect
883. #120C22×D53semidirect
884. #120C22×D53semidirect
888. C4×Q8C22×D53semidirect
899. C4×D4C22×D53semidirect
900. C4×D4C22×D53semidirect
910. #117C22×D53semidirect
920. C2×C42C22×D53semidirect
957. #41D4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168114582
C2×H(5,𝔽2)×D532
#202885082
#202885072
#202885032
#202885022
#202884912
#202884902
#202884892
#202883832
#202883752
#202883682
#202883432
#202880462
#202880422
C2×#168111862
#535×D532
#202879142
C53×#34982
#6285253