Finite Group Databasebeta

← #28293280

Subgroups — #28293280

Order 13568.

7310 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288820C214yesmaximal, complemented
2#20288749C214yesmaximal, complemented
3#20288739C218yesmaximal, complemented
4#20288719C214yesmaximal, complemented
5#20288659C214yesmaximal, complemented
6#20288645C218yesmaximal, complemented
7#20288638C212yesmaximal, complemented
8#20288635C211yesmaximal, characteristic, complemented
9#20288592C211yesmaximal, characteristic, complemented
10#20288587C212yesmaximal, complemented
11#20288536C211yesmaximal, characteristic, complemented
12#20288488C211yesmaximal, characteristic, complemented
13#20288452C212yesmaximal, complemented
14#20288448C214yesmaximal, complemented
15#20288376C212yesmaximal, complemented
16#20288135C214yesmaximal, complemented
17#20288131C212yesmaximal, complemented
18#20288106C212yesmaximal, complemented
19C2×#16811228C211yesmaximal, characteristic, complemented
20#540×D53C212yesmaximal, complemented
21C4×#13133263C212yesmaximal, complemented
22#20287916C211yesmaximal, characteristic, complemented
23C53×#3455C211yesmaximal, characteristic, complemented
24C2×#13133263C2212yes—
25C22×#11719945C2211yescharacteristic
26#16811358C2214yescomplemented
27#16811357C2218yescomplemented
28#16811351C2214yescomplemented
29#16811338C2214yescomplemented
30#16811335C2218yescomplemented
31#16811333C2214yescomplemented
32#16811327C2218yescomplemented
33#16811326C2218yescomplemented
34#16811324C2218yescomplemented
35#16811324C2218yescomplemented
36#16811324C2218yescomplemented
37#16811319C2214yescomplemented
38#16811319C2214yescomplemented
39#16811319C2214yescomplemented
40#16811318C2218yescomplemented
41#16811316C2218yescomplemented
42#16811313C2214yescomplemented
43#16811305C2218yescomplemented
44#16811300C2218yescomplemented
45#16811298C2218yescomplemented
46#16811296C2218yescomplemented
47#16811295C2214yescomplemented
48#16811294C2214yescomplemented
49#16811294C2214yescomplemented
50#16811291C2218yescomplemented
51#16811282C2214yescomplemented
52#16811277C2214yescomplemented
53#16811275C2218yescomplemented
54#16811269C2214yescomplemented
55#16811266C2218yescomplemented
56#16811265C2218yescomplemented
57#16811265C2218yescomplemented
58#16811265C2218yescomplemented
59#16811264C2218yescomplemented
60#16811262C2218yescomplemented
61#16811260C2218yescomplemented
62D4×D212C2214yescomplemented
63D4×D212C2214yescomplemented
64#16811257C2218yescomplemented
65#16811255C2218yescomplemented
66#16811251C2212yescomplemented
67#16811250C2214yescomplemented
68#16811246C2214yescomplemented
69#16811245C2214yescomplemented
70#16811244C2214yescomplemented
71#16811243C2218yescomplemented
72#16811234C2212yescomplemented
73#16811229C2212yescomplemented
74#16811229C2212yescomplemented
75#16811228C2214yescomplemented
76#16811228C2212yescomplemented
77#16811228C2212yescomplemented
78#16811228C2212yescomplemented
79#16811228C2214yescomplemented
80#16811228C2212yescomplemented
81#16811228C2214yescomplemented
82#16811227C2212yescomplemented
83#16811226C2214yescomplemented
84#16811225C2218yescomplemented
85#16811225C2218yescomplemented
86#16811224C2214yescomplemented
87#16811223C2218yescomplemented
88#16811221C2218yescomplemented
89#16811212C2218yescomplemented
90#16811212C2218yescomplemented
91#16811207C2218yescomplemented
92#16811206C2218yescomplemented
93#16811203C2214yescomplemented
94#16811201C2212yescomplemented
95#16811192C2212yescomplemented
96#16811191C2214yescomplemented
97#16811189C2214yescomplemented
98#16811187C2212yescomplemented
99#16811179C2212yescomplemented
100#16811174C2214yescomplemented
101#16811174C2212yescomplemented
102#16811173C2214yescomplemented
103#16811172C2218yescomplemented
104#16811170C2214yescomplemented
105#16811168C2214yescomplemented
106C2×#13133214C2211yescharacteristic, complemented
107#127×D53C2212yescomplemented
108#16811160C2214yescomplemented
109#16811159C2214yescomplemented
110#16811158C2218yescomplemented
111#16811157C2214yescomplemented
112#16811156C2218yescomplemented
113#16811156C2218yescomplemented
114#16811152C2214yescomplemented
115C2×#13133209C2211yescharacteristic, complemented
116#125×D53C2212yescomplemented
117#16811136C2214yescomplemented
118#16811136C2218yescomplemented
119#16811132C2218yescomplemented
120#16811131C2218yescomplemented
121C2×#13133202C2214yescomplemented
122#123×D53C2218yescomplemented
123C2×#13133191C2212yescomplemented
124C2×#13133190C2214yescomplemented
125#121×D53C2214yescomplemented
126#121×D53C2218yescomplemented
127#16811106C2212yescomplemented
128#16811105C2214yescomplemented
129#16811104C2214yescomplemented
130#16811103C2212yes—
131#16811103C2214yescomplemented
132#16811103C2212yescomplemented
133#16811103C2212yescomplemented
134#16811100C2212yescomplemented
135#16811097C2212yescomplemented
136#16811097C2214yescomplemented
137#16811097C2212yescomplemented
138#16811096C2214yescomplemented
139#16811095C2214yescomplemented
140#16811095C2218yescomplemented
141C4×#11719949C2214yescomplemented
142C4×#11719945C2211yescharacteristic
143C4×#11719945C2211yescharacteristic
144C4×#11719945C2214yescomplemented
145C4×#11719945C2211yescharacteristic, complemented
146C4×#11719945C2211yescharacteristic, complemented
147#16811091C2212yescomplemented
148#16811091C2212yescomplemented
149C2×C4×D212C2212yescomplemented
150C2×C4×D212C2214yescomplemented
151C4×D4×D53C2214yescomplemented
152C4×D4×D53C2218yescomplemented
153C2×#13133176C2211yescharacteristic, complemented
154#117×D53C2212yescomplemented
155#117×D53C2212yescomplemented
156C53×#542C2212yescomplemented
157C53×#542C2212yescomplemented
158C53×#541C2211yescharacteristic, complemented
159C53×#541C2211yescharacteristic, complemented
160C53×#540C2211yescharacteristic, complemented
161C53×#540C2211yescharacteristic, complemented
162C53×#539C2214yescomplemented
163C53×#538C2214yescomplemented
164C53×#533C2211yescharacteristic, complemented
165C53×#532C2211yescharacteristic, complemented
166C53×#529C2214yescomplemented
167C53×#529C2214yescomplemented
168C53×#525C2212yescomplemented
169C4×#41×C53C2212yescomplemented
170C2×#117×C53C2211yescharacteristic, complemented
171#13133263—216no—
172C2×#11719949C2314yes—
173C2×#11719949C2318yes—
174C2×#11719945—28no—
175C2×#11719945C2312yes—
176C2×#11719945C2311yescharacteristic
177C2×#11719945C2314yes—
178C2×#11719945C2311yescharacteristic
179C2×#11719945C2312yes—
180C2×#11719945C2311yescharacteristic
181C2×#11719945C2318yes—
182C2×#11719945C2311yescharacteristic
183C2×#11719947C2318yes—
184C22×Dic106C2311yescharacteristic
185C22×D212C2314yes—
186C22×D212C2312yes—
187C22×D212C2311yescharacteristic
188C22×D212C2314yes—
189C22×C22⋊D53C2312yes—
190C22×C22⋊D53C2314yes—
191C2×D4×D53C2318yes—
192C2×D4×D53C2314yes—
193C2×D4×D53C2318yes—
194C2×D4×D53C2318yes—
195C22×C4×D53C2312yes—
196C22×C4×D53C2318yes—
197C22×C4×D53C2314yes—
198#13133217C2314yes—
199#13133216C2314yes—
200#13133215C2318yes—
201#13133214C2314yes—
202#13133214C2314yes—
203#13133214C2312yes—
204#13133214C2312yes—
205#13133213C2318yes—
206#13133213C2318yes—
207#13133213C2314yes—
208#13133212C2318yes—
209#13133212C2318yes—
210#13133212C2318yes—
211#13133212C2318yes—
212#13133211C2318yes—
213#13133210C2318yes—
214#13133209C2314yes—
215#13133209C2314yes—
216#13133209C2312yes—
217#13133209C2312yes—
218#13133208C2314yes—
219#13133207C2318yes—
220#13133207C2318yes—
221#13133207C2318yes—
222#13133206C2318yes—
223#13133206C2314yes—
224#13133205C2314yes—
225#13133205C2318yes—
226#13133203C2318yes—
227#13133203C2318yes—
228#13133203C2318yes—
229#13133203C2318yes—
230#13133202C2318yes—
231#13133202C2318yes—
232#13133202C2318yes—
233#13133202C2318yes—
234#13133202C2318yes—
235#13133202C2318yes—
236#13133202C2318yes—
237#13133202C2318yes—
238#13133202C2318yes—
239#13133201C2318yes—
240#13133201C2318yes—
241#13133200C2318yes—
242#13133199C2318yes—
243#13133199C2318yes—
244#13133199C2318yes—
245#13133199C2318yes—
246#13133198C2318yes—
247#13133197C2318yes—
248#13133196C2314yes—
249#13133195C2318yes—
250#13133195C2318yes—
251#13133195C2318yes—
252#13133195C2318yes—
253#13133194C2318yes—
254#13133193C2318yes—
255#13133193C2314yes—
256#13133192C2318yes—
257#13133192C2318yes—
258#13133192C2318yes—
259#13133192C2318yes—
260#13133192C2318yes—
261#13133192C2314yes—
262#13133192C2314yes—
263#13133191C2314yes—
264#13133191C2314yes—
265#13133191C2314yes—
266#13133191C2314yes—
267#13133191C2314yes—
268#13133191C2314yes—
269#13133191C2318yes—
270#13133191C2314yes—
271#13133190C2318yes—
272#13133190C2318yes—
273#13133190C2318yes—
274#13133190C2318yes—
275#13133190C2318yes—
276#13133190C2318yes—
277#13133190C2318yes—
278#13133190C2318yes—
279#13133190C2318yes—
280#13133190C2318yes—
281#13133190C2318yes—
282#13133189C2318yes—
283#13133189C2318yes—
284#13133189C2318yes—
285#13133189C2318yes—
286#13133189C2318yes—
287#13133188C2318yes—
288#13133188C2314yes—
289#13133187C2318yes—
290#13133187C2318yes—
291#13133187C2318yes—
292#13133187C2318yes—
293#13133187C2318yes—
294#13133185C2318yes—
295#13133185C2318yes—
296Q8×Dic53C2314yes—
297C4×Dic106C2314yes—
298C4×Dic106C2312yes—
299C4×Dic106C2312yes—
300C4×Dic106C2312yes—
301C4×Dic106C2312yes—
302#13133182C2318yes—
303#13133182C2314yes—
304#13133182C2314yes—
305C4×D212C2318yes—
306C4×D212C2318yes—
307C4×D212C2314yes—
308C4×D212C2314yes—
309C4×D212C2312yes—
310C4×D212C2314yes—
311C4×D212C2312yes—
312C4×D212C2318yes—
313C4×D212C2314yes—
314C4×D212C2312yes—
315C4×D212C2314yes—
316C4×D212C2314yes—
317C4×D212C2314yes—
318C4×D212C2312yes—
319D4×Dic53C2318yes—
320D4×Dic53C2314yes—
321#13133179C2318yes—
322#13133179C2314yes—
323#13133179C2318yes—
324#13133179C2318yes—
325#13133179C2318yes—
326#13133179C2314yes—
327#13133179C2314yes—
328#13133179C2318yes—
329#13133179C2314yes—
330C4×C22⋊D53C2314yes—
331C4×C22⋊D53C2318yes—
332C4×C22⋊D53C2318yes—
333C4×C22⋊D53C2314yes—
334C4×C22⋊D53C2314yes—
335C4×C22⋊D53C2318yes—
336C4×C22⋊D53C2314yes—
337#13133177C2318yes—
338#13133177C2318yes—
339#13133177C2318yes—
340#13133177C2318yes—
341#13133177C2314yes—
342#13133177C2318yes—
343#13133177C2318yes—
344#13133177C2314yes—
345#13133177C2318yes—
346#13133177C2314yes—
347#13133177C2314yes—
348#13133176C2312yes—
349#13133176C2314yes—
350#13133176C2312yes—
351#13133176C2312yes—
352#13133176C2311yescharacteristic
353#13133176C2311yescharacteristic
354#13133175C2318yes—
355#13133175C2314yes—
356#13133175C2314yes—
357#13133175C2314yes—
358#13133175C2318yes—
359#13133174C2318yes—
360#13133174C2318yes—
361#13133174C2312yes—
362#13133174C2312yes—
363#13133174C2312yes—
364#13133174C2312yes—
365#13133173C2318yes—
366#13133173C2314yes—
367#13133173C2314yes—
368C2×C4⋊Dic53C2312yes—
369C2×C4⋊Dic53C2314yes—
370C2×C4⋊Dic53C2312yes—
371C2×#11719919C2314yes—
372C4⋊C4×D53C2314yes—
373C4⋊C4×D53C2318yes—
374C4⋊C4×D53C2318yes—
375C4⋊C4×D53C2314yes—
376C4⋊C4×D53C2314yes—
377C2×C22⋊Dic53C2312yes—
378C2×#11719921C2314yes—
379C2×#11719921C2318yes—
380C2×#11719921C2314yes—
381C22⋊C4×D53C2318yes—
382C22⋊C4×D53C2314yes—
383C22⋊C4×D53C2318yes—
384C22⋊C4×D53C2318yes—
385C22⋊C4×D53C2314yes—
386C22⋊C4×D53C2318yes—
387C2×C4×Dic53C2312yes—
388C42×D53C2312yes—
389C42×D53C2312yes—
390C42×D53C2312yes—
391C42×D53C2312yes—
392C42×D53C2318yes—
393C2×#41×C53C2312yes—
394C23×C4×C53C2311yescharacteristic
395C4⋊Q8×C53C2311yescharacteristic
396C4⋊Q8×C53C2312yes—
397#127×C53C2311yescharacteristic
398#126×C53C2314yes—
399#126×C53C2314yes—
400#126×C53C2314yes—
401#126×C53C2314yes—
402#125×C53C2314yes—
403#125×C53C2314yes—
404#125×C53C2311yescharacteristic
405#125×C53C2311yescharacteristic
406#124×C53C2314yes—
407#124×C53C2314yes—
408#124×C53C2312yes—
409#123×C53C2314yes—
410#123×C53C2314yes—
411#123×C53C2314yes—
412#123×C53C2314yes—
413#123×C53C2314yes—
414C22⋊Q8×C53C2314yes—
415C22⋊Q8×C53C2314yes—
416C22⋊Q8×C53C2312yes—
417C22⋊Q8×C53C2312yes—
418C22⋊Q8×C53C2314yes—
419#121×C53C2314yes—
420#121×C53C2312yes—
421#121×C53C2312yes—
422#121×C53C2314yes—
423#121×C53C2314yes—
424#120×C53C2314yes—
425C4×Q8×C53C2314yes—
426C4×Q8×C53C2312yes—
427C4×Q8×C53C2312yes—
428C4×D4×C53C2314yes—
429C4×D4×C53C2314yes—
430C4×D4×C53C2314yes—
431C4×D4×C53C2314yes—
432C4×D4×C53C2314yes—
433C4×D4×C53C2312yes—
434C4×D4×C53C2312yes—
435#117×C53C2312yes—
436#117×C53C2312yes—
437#117×C53C2311yescharacteristic
438#117×C53C2311yescharacteristic
439#117×C53C2311yescharacteristic
440#117×C53C2311yescharacteristic
441#117×C53C2312yes—
442#117×C53C2314yes—
443C2×C4⋊C4×C53C2312yes—
444C2×C22⋊C4×C53C2312yes—
445C2×C42×C53C2311yescharacteristic
446C2×C42×C53C2311yescharacteristic
447C2×C42×C53C2314yes—
448C24×C53C2411yescharacteristic
449C23×D53C2412yes—
450C23×D53C2418yes—
451C23×D53C2414yes—
452#41×C53—28no—
453C2×Q8×C53C2412yes—
454C2×Q8×C53C2414yes—
455C2×D4×C53C2414yes—
456C2×D4×C53C2412yes—
457C2×D4×C53C2414yes—
458C2×D4×C53C2414yes—
459C2×D4×C53C2414yes—
460C22×C4×C53—24no—
461C22×C4×C53C2414yes—
462C22×C4×C53C2411yescharacteristic
463C22×C4×C53C2411yescharacteristic
464C22×C4×C53C2411yescharacteristic
465C22×C4×C53C2411yescharacteristic
466C22×C4×C53C2411yescharacteristic
467C22×C4×C53C2412yes—
468C22×C4×C53C2412yes—
469C22×C4×C53C2414yes—
470C22×C4×C53C2414yes—
471C22×C4×C53C2411yescharacteristic
472C2×C22⋊D53—28no—
473C2×C22⋊D53—84no—
474C2×C22⋊D53C2412yes—
475C2×C22⋊D53C2412yes—
476C2×C22⋊D53C2418yes—
477C2×C22⋊D53C2412yes—
478C2×C22⋊D53C2418yes—
479C2×C22⋊D53C2418yes—
480C2×C22⋊D53C2418yes—
481C2×C22⋊D53C2418yes—
482C2×C22⋊D53C2418yes—
483C2×C22⋊D53C2412yes—
484C22×Dic53C2412yes—
485C22×Dic53C2414yes—
486C22×Dic53C2414yes—
487C22×Dic53C2418yes—
488#11719949—216no—
489#11719949—88no—
490#11719947—88no—
491D4×D53—232no—
492D4×D53—216no—
493D4×D53—88no—
494D4×D53—88no—
495#11719945—24no—
496#11719945—28no—
497#11719945—24no—
498#11719945—28no—
499#11719945—24no—
500#11719945—216no—
501#11719945—88no—
502#11719945#4118yescomplemented
503C2×D212—28no—
504C2×D212—24no—
505C2×D212—216no—
506C2×D212—84no—
507C2×D212C2412yes—
508C2×D212C2418yes—
509C2×D212C2414yes—
510C2×D212C2414yes—
511C2×D212C2411yescharacteristic
512C2×D212C2418yes—
513C2×D212C2418yes—
514C2×D212C2418yes—
515C2×D212C2418yes—
516C2×D212C2411yescharacteristic
517C2×C4×D53—28no—
518C2×C4×D53—84no—
519C2×C4×D53—88no—
520C2×C4×D53C2412yes—
521C2×C4×D53C2418yes—
522C2×C4×D53C2412yes—
523C2×C4×D53C2412yes—
524C2×C4×D53C2414yes—
525C2×C4×D53C2418yes—
526C2×C4×D53C2414yes—
527C2×C4×D53C2414yes—
528C2×C4×D53C2414yes—
529C2×C4×D53C2418yes—
530C2×C4×D53C2418yes—
531C2×C4×D53C2418yes—
532C2×C4×D53C2418yes—
533C2×C4×D53C2412yes—
534C2×Dic106—24no—
535C2×Dic106C2412yes—
536C2×Dic106C2411yescharacteristic
537C2×Dic106C2418yes—
538C2×Dic106C2411yescharacteristic
539C4⋊C4×C53C2412yes—
540C4⋊C4×C53C2412yes—
541C4⋊C4×C53C2412yes—
542C4⋊C4×C53C2412yes—
543C4⋊C4×C53C2412yes—
544C4⋊C4×C53C2412yes—
545C4⋊C4×C53C2414yes—
546C4⋊C4×C53C2414yes—
547C4⋊C4×C53C2414yes—
548C4⋊C4×C53C2414yes—
549C4⋊C4×C53C2414yes—
550C4⋊C4×C53C2414yes—
551C4⋊C4×C53C2414yes—
552C4⋊C4×C53C2414yes—
553C22⋊C4×C53C2412yes—
554C22⋊C4×C53C2412yes—
555C22⋊C4×C53C2412yes—
556C22⋊C4×C53C2412yes—
557C22⋊C4×C53C2414yes—
558C22⋊C4×C53C2414yes—
559C22⋊C4×C53C2414yes—
560C22⋊C4×C53C2414yes—
561C22⋊C4×C53C2414yes—
562C22⋊C4×C53C2414yes—
563C22⋊C4×C53C2414yes—
564C22⋊C4×C53C2414yes—
565C22⋊C4×C53C2414yes—
566C42×C53C2412yes—
567C42×C53C2411yescharacteristic
568C42×C53C2411yescharacteristic
569C42×C53C2414yes—
570C42×C53C2412yes—
571C42×C53C2411yescharacteristic
572C42×C53C2411yescharacteristic
573C42×C53C2414yes—
574C42×C53C2414yes—
575C22⋊Dic53C2412yes—
576C22⋊Dic53C2414yes—
577C22⋊Dic53C2418yes—
578C22⋊Dic53C2418yes—
579C22⋊Dic53C2412yes—
580#11719921C2414yes—
581#11719921C2418yes—
582#11719921C2418yes—
583#11719921C2418yes—
584#11719921C2418yes—
585#11719921C2418yes—
586#11719921C2414yes—
587#11719921C2414yes—
588#11719921C2414yes—
589#11719921C2418yes—
590#11719921C2418yes—
591#11719921C2418yes—
592#11719921C2418yes—
593#11719921C2418yes—
594#11719921C2418yes—
595#11719921C2418yes—
596C4⋊Dic53C2414yes—
597C4⋊Dic53C2414yes—
598C4⋊Dic53C2418yes—
599C4⋊Dic53C2418yes—
600C4⋊Dic53C2412yes—
601C4⋊Dic53C2414yes—
602C4⋊Dic53C2412yes—
603#11719919C2414yes—
604#11719919C2418yes—
605#11719919C2418yes—
606#11719919C2414yes—
607#11719919C2414yes—
608#11719919C2414yes—
609#11719919C2418yes—
610#11719919C2418yes—
611#11719919C2418yes—
612#11719919C2418yes—
613C4×Dic53C2414yes—
614C4×Dic53C2412yes—
615C4×Dic53C2412yes—
616C4×Dic53C2414yes—
617C4×Dic53C2414yes—
618C4×Dic53C2418yes—
619C4×Dic53C2414yes—
620C4×Dic53C2418yes—
621C4×Dic53C2414yes—
622C23×C53—22no—
623C23×C53—42no—
624C23×C53C2511yescharacteristic
625C23×C53C2514yes—
626C23×C53C2511yescharacteristic
627C23×C53C2511yescharacteristic
628C22×D53—28no—
629C22×D53—24no—
630C22×D53—216no—
631C22×D53—44no—
632C22×D53—48no—
633C22×D53—44no—
634C22×D53—44no—
635C22×D53—48no—
636C22×D53C2512yes—
637C22×D53C2518yes—
638C22×D53C2512yes—
639Q8×C53—24no—
640Q8×C53—44no—
641D4×C53—28no—
642D4×C53—24no—
643D4×C53—44no—
644D4×C53—44no—
645D4×C53—44no—
646C2×C4×C53—22no—
647C2×C4×C53—22no—
648C2×C4×C53—22no—
649C2×C4×C53—28no—
650C2×C4×C53—22no—
651C2×C4×C53—22no—
652C2×C4×C53—42no—
653C2×C4×C53—44no—
654C2×C4×C53—42no—
655C2×C4×C53—44no—
656C2×C4×C53C2×#4114yes—
657C2×C4×C53C2514yes—
658C2×C4×C53C2511yescharacteristic
659C2×C4×C53C2512yes—
660C2×C4×C53C2512yes—
661C2×C4×C53C2514yes—
662C2×C4×C53C2511yescharacteristic
663C2×C4×C53C2512yes—
664C2×C4×C53C2512yes—
665C2×C4×C53C2514yes—
666C2×C4×C53C2511yescharacteristic
667C2×C4×C53C2511yescharacteristic
668C22⋊D53—24no—
669C22⋊D53—24no—
670C22⋊D53—24no—
671C22⋊D53—216no—
672C22⋊D53—48no—
673C22⋊D53—48no—
674C22⋊D53—48no—
675C22⋊D53—48no—
676C22⋊D53—48no—
677C22⋊D53C2×#4118yes—
678C2×Dic53—24no—
679C2×Dic53—48no—
680C2×Dic53—44no—
681C2×Dic53—44no—
682C2×Dic53C2514yes—
683C2×Dic53C2512yes—
684C2×Dic53C2518yes—
685C2×Dic53C2514yes—
686C2×Dic53C2512yes—
687D212—24no—
688D212—216no—
689D212—28no—
690D212—22no—
691D212—28no—
692D212—48no—
693D212—48no—
694D212—48no—
695D212—48no—
696D212C2×#4114yes—
697C4×D53—24no—
698C4×D53—24no—
699C4×D53—24no—
700C4×D53—216no—
701C4×D53—48no—
702C4×D53—44no—
703C4×D53—48no—
704C4×D53—48no—
705C4×D53—48no—
706C4×D53—44no—
707C4×D53—44no—
708C4×D53—48no—
709C4×D53—44no—
710C4×D53C2×#4118yes—
711Dic106—22no—
712Dic106—24no—
713Dic106—48no—
714Dic106C2×#4114yes—
715#62858—531nomaximal, Sylow
716C22×C53—22no—
717C22×C53—21no—
718C22×C53—21no—
719C22×C53—24no—
720C22×C53—22no—
721C22×C53—24no—
722C22×C53—24no—
723C22×C53—22no—
724C22×C53—82no—
725C22×C53C22×#4112yes—
726C22×C53C2611yescharacteristic
727C2×D53—24no—
728C2×D53—22no—
729C2×D53—28no—
730C2×D53—28no—
731C2×D53—24no—
732C2×D53—28no—
733C2×D53—84no—
734C2×D53—816no—
735C2×D53—88no—
736C2×D53C22×#4114yes—
737C4×C53—21no—
738C4×C53—21no—
739C4×C53—24no—
740C4×C53—24no—
741C4×C53—22no—
742C4×C53—22no—
743C4×C53—24no—
744C4×C53—22no—
745C4×C53—22no—
746C4×C53C22×#4112yes—
747C4×C53C22×#4112yes—
748Dic53—22no—
749Dic53—24no—
750Dic53—28no—
751Dic53—24no—
752Dic53C22×#4114yes—
753#3524—534no—
754#3519—538no—
755#3519—534no—
756#3517—534no—
757#3513—538no—
758#3513—534no—
759#3512—532no—
760#3512—531no—
761#3508—532no—
762#3508—531no—
763#3504—531no—
764#3498—531no—
765#3494—534no—
766#3494—532no—
767#3488—532no—
768#3460—534no—
769#3460—532no—
770#3455—532no—
771#3455D5311yescharacteristic, complemented
772C2×#540—532no—
773C2×#540—531no—
774C4×H(5,𝔽2)—532no—
775#3428—531no—
776C2×C53—22no—
777C2×C53—44no—
778C2×C53—41no—
779C2×C53—41no—
780C2×C53C23×#4111yescharacteristic
781C2×C53H(7,𝔽2)12yes—
782D53—24no—
783D53—42no—
784D53—48no—
785C2×H(5,𝔽2)—532no—
786C22×#41—531no—
787#559—538no—
788#559—534no—
789#557—534no—
790#555—538no—
791#555—534no—
792#554—538no—
793#554—534no—
794#553—538no—
795#553—538no—
796#553—538no—
797#553—538no—
798#553—538no—
799#553—538no—
800#553—534no—
801#553—534no—
802#553—534no—
803#552—538no—
804#552—534no—
805#551—538no—
806#551—538no—
807#551—538no—
808#550—538no—
809#550—534no—
810#550—534no—
811#550—534no—
812#548—534no—
813#547—538no—
814#547—534no—
815#546—538no—
816#546—538no—
817#546—538no—
818#546—538no—
819#546—538no—
820#546—538no—
821#546—538no—
822#546—534no—
823D42—538no—
824D42—538no—
825D42—534no—
826D42—534no—
827#544—534no—
828#544—532no—
829#542—534no—
830#542—538no—
831#542—534no—
832#542—534no—
833#542C2×D5312yescomplemented
834#542C2×D5312yescomplemented
835#541—532no—
836#541C2×D5311yescharacteristic, complemented
837#541C2×D5311yescharacteristic, complemented
838#540—532no—
839#540—532no—
840#540—532no—
841#540—538no—
842#540—538no—
843#540—534no—
844#540—538no—
845#540—534no—
846#540—532no—
847#540—532no—
848#540—532no—
849#540—532no—
850#540—534no—
851#540—534no—
852#540—534no—
853#540C2×D5311yescharacteristic, complemented
854#540C2×D5311yescharacteristic, complemented
855#539—538no—
856#539C2×D5314yescomplemented
857#538—538no—
858#538—538no—
859#538—538no—
860#538—538no—
861#538C2×D5314yescomplemented
862#537—532no—
863#537—534no—
864#535—532no—
865#535—534no—
866#535—534no—
867#535—532no—
868#533—532no—
869#533C2×D5311yescharacteristic, complemented
870#532—532no—
871#532—534no—
872#532—538no—
873#532—534no—
874#532—534no—
875#532—534no—
876#532C2×D5311yescharacteristic, complemented
877C2×#127—532no—
878C2×#127—531no—
879#529—538no—
880#529—538no—
881#529—538no—
882#529—534no—
883#529—534no—
884#529—534no—
885#529—534no—
886#529C2×D5314yescomplemented
887#529C2×D5314yescomplemented
888C2×#125—532no—
889C2×#125—531no—
890#525—538no—
891#525—534no—
892#525—538no—
893#525—538no—
894#525C2×D5312yescomplemented
895C2×#123—538no—
896C2×#123—534no—
897C2×#121—532no—
898C2×#121—534no—
899C2×#121—538no—
900C2×#121—534no—
901#520—532no—
902#520—534no—
903#520—532no—
904#520—532no—
905#520—532no—
906#520—534no—
907#520—534no—
908#519—532no—
909#518—534no—
910#518—538no—
911#518—532no—
912#518—532no—
913#518—534no—
914#518—534no—
915C4×#41—534no—
916C4×#41—532no—
917C4×#41—532no—
918C4×#41—531no—
919C4×#41—531no—
920C4×#41—531no—
921C4×#41—531no—
922C4×#41—534no—
923C4×#41C2×D5312yescomplemented
924C2×C4×D4—534no—
925C2×C4×D4—538no—
926C2×C4×D4—532no—
927C2×C4×D4—534no—
928C2×#117—531no—
929C2×#117—532no—
930C2×#117—532no—
931C2×#117C2×D5311yescharacteristic, complemented
932C53#6285811yescharacteristic, complemented, Sylow
933H(5,𝔽2)—10616no—
934C2×#41—534no—
935C2×#41—538no—
936C2×#41—538no—
937C2×#41—531no—
938C2×#41—532no—
939C2×#41—531no—
940C2×#41—534no—
941C2×#41—531no—
942C2×#41—532no—
943C2×#41—531no—
944C2×#41—538no—
945C2×#41—1068no—
946C2×#41C22×D5312yes—
947C22×Q8—531no—
948C22×D4—532no—
949C22×D4—534no—
950C22×D4—534no—
951C22×D4—538no—
952C22×D4—538no—
953C22×D4—538no—
954C22×D4—532no—
955C22×D4—534no—
956C22×D4—531no—
957C22×D4—534no—
958C23×C4—532no—
959C23×C4—534no—
960C23×C4—538no—
961C23×C4C22×D5311yescharacteristic
962C4⋊Q8—538no—
963C4⋊Q8—534no—
964C4⋊Q8—534no—
965C4⋊Q8C22×D5311yescharacteristic
966C4⋊Q8C22×D5312yes—
967#127—534no—
968#127—538no—
969#127—538no—
970#127—532no—
971#127—532no—
972#127—534no—
973#127—534no—
974#127C22×D5311yescharacteristic
975#126—538no—
976#126—538no—
977#126—538no—
978#126—538no—
979#126—538no—
980#126—538no—
981#126C22×D5314yes—
982#126C22×D5314yes—
983#126C22×D5314yes—
984#126C22×D5314yes—
985#125—534no—
986#125—538no—
987#125—538no—
988#125—538no—
989#125—532no—
990#125—532no—
991#125—534no—
992#125—534no—
993#125C22×D5311yescharacteristic
994#125C22×D5314yes—
995#125C22×D5314yes—
996#125C22×D5311yescharacteristic
997#124—534no—
998#124—538no—
999#124—538no—
1000#124—538no—
1001#124—538no—
1002#124—538no—
1003#124—538no—
1004#124—534no—
1005#124C22×D5312yes—
1006#124C22×D5314yes—
1007#124C22×D5314yes—
1008#123—538no—
1009#123—538no—
1010#123—538no—
1011#123—538no—
1012#123—538no—
1013#123—538no—
1014#123—538no—
1015#123—538no—
1016#123—538no—
1017#123—538no—
1018#123—538no—
1019#123—538no—
1020#123—538no—
1021#123—538no—
1022#123—538no—
1023#123—538no—
1024#123—538no—
1025#123C22×D5314yes—
1026#123C22×D5314yes—
1027#123C22×D5314yes—
1028#123C22×D5314yes—
1029#123C22×D5314yes—
1030C22⋊Q8—534no—
1031C22⋊Q8—538no—
1032C22⋊Q8—534no—
1033C22⋊Q8—538no—
1034C22⋊Q8—538no—
1035C22⋊Q8—538no—
1036C22⋊Q8—538no—
1037C22⋊Q8—538no—
1038C22⋊Q8—538no—
1039C22⋊Q8C22×D5312yes—
1040C22⋊Q8C22×D5314yes—
1041C22⋊Q8C22×D5312yes—
1042C22⋊Q8C22×D5314yes—
1043C22⋊Q8C22×D5314yes—
1044#121—534no—
1045#121—538no—
1046#121—538no—
1047#121—538no—
1048#121—538no—
1049#121—538no—
1050#121—538no—
1051#121—534no—
1052#121—538no—
1053#121—534no—
1054#121—534no—
1055#121—534no—
1056#121—534no—
1057#121—534no—
1058#121—534no—
1059#121—534no—
1060#121—538no—
1061#121—534no—
1062#121—538no—
1063#121—538no—
1064#121—538no—
1065#121—538no—
1066#121—538no—
1067#121—538no—
1068#121—538no—
1069#121—538no—
1070#121—538no—
1071#121—538no—
1072#121—538no—
1073#121—538no—
1074#121—538no—
1075#121—538no—
1076#121—538no—
1077#121C22×D5312yes—
1078#121C22×D5314yes—
1079#121C22×D5312yes—
1080#121C22×D5314yes—
1081#121C22×D5314yes—
1082#120—538no—
1083#120—538no—
1084#120—538no—
1085#120—538no—
1086#120—538no—
1087#120—538no—
1088#120—538no—
1089#120C22×D5314yes—
1090C4×Q8—534no—
1091C4×Q8—534no—
1092C4×Q8—534no—
1093C4×Q8—538no—
1094C4×Q8—532no—
1095C4×Q8—532no—
1096C4×Q8—532no—
1097C4×Q8—532no—
1098C4×Q8—534no—
1099C4×Q8C22×D5312yes—
1100C4×Q8C22×D5312yes—
1101C4×Q8C22×D5314yes—
1102C4×D4—534no—
1103C4×D4—538no—
1104C4×D4—534no—
1105C4×D4—538no—
1106C4×D4—538no—
1107C4×D4—534no—
1108C4×D4—534no—
1109C4×D4—534no—
1110C4×D4—538no—
1111C4×D4—534no—
1112C4×D4—538no—
1113C4×D4—538no—
1114C4×D4—534no—
1115C4×D4—534no—
1116C4×D4—534no—
1117C4×D4—538no—
1118C4×D4—538no—
1119C4×D4—538no—
1120C4×D4—538no—
1121C4×D4—538no—
1122C4×D4—538no—
1123C4×D4—534no—
1124C4×D4—534no—
1125C4×D4—534no—
1126C4×D4—534no—
1127C4×D4—538no—
1128C4×D4—538no—
1129C4×D4—538no—
1130C4×D4—538no—
1131C4×D4—532no—
1132C4×D4—538no—
1133C4×D4—534no—
1134C4×D4—534no—
1135C4×D4—534no—
1136C4×D4—534no—
1137C4×D4—534no—
1138C4×D4—538no—
1139C4×D4—534no—
1140C4×D4—534no—
1141C4×D4—532no—
1142C4×D4—532no—
1143C4×D4—532no—
1144C4×D4—538no—
1145C4×D4C22×D5314yes—
1146C4×D4C22×D5312yes—
1147C4×D4C22×D5314yes—
1148C4×D4C22×D5312yes—
1149C4×D4C22×D5314yes—
1150C4×D4C22×D5314yes—
1151C4×D4C22×D5314yes—
1152#117—532no—
1153#117—531no—
1154#117—531no—
1155#117—532no—
1156#117—532no—
1157#117—534no—
1158#117—534no—
1159#117—534no—
1160#117—534no—
1161#117—538no—
1162#117—538no—
1163#117—534no—
1164#117—534no—
1165#117—538no—
1166#117—532no—
1167#117—532no—
1168#117—532no—
1169#117—532no—
1170#117—538no—
1171#117—538no—
1172#117C22×D5311yescharacteristic
1173#117C22×D5311yescharacteristic
1174#117C22×D5311yescharacteristic
1175#117C22×D5311yescharacteristic
1176#117C22×D5312yes—
1177#117C22×D5312yes—
1178#117C22×D5312yes—
1179#117C22×D5314yes—
1180C2×C4⋊C4—532no—
1181C2×C4⋊C4—532no—
1182C2×C4⋊C4—534no—
1183C2×C4⋊C4—534no—
1184C2×C4⋊C4—534no—
1185C2×C4⋊C4—534no—
1186C2×C4⋊C4—534no—
1187C2×C4⋊C4—538no—
1188C2×C4⋊C4—538no—
1189C2×C4⋊C4C22×D5312yes—
1190C2×C22⋊C4—532no—
1191C2×C22⋊C4—534no—
1192C2×C22⋊C4—538no—
1193C2×C22⋊C4—534no—
1194C2×C22⋊C4—534no—
1195C2×C22⋊C4—534no—
1196C2×C22⋊C4—538no—
1197C2×C22⋊C4—538no—
1198C2×C22⋊C4—538no—
1199C2×C22⋊C4—538no—
1200C2×C22⋊C4C22×D5312yes—
1201C2×C42—532no—
1202C2×C42—532no—
1203C2×C42—532no—
1204C2×C42—532no—
1205C2×C42—532no—
1206C2×C42—538no—
1207C2×C42C22×D5311yescharacteristic
1208C2×C42C22×D5311yescharacteristic
1209C2×C42C22×D5314yes—
1210C24—538no—
1211C24—532no—
1212C24—534no—
1213C24C23×D5311yescharacteristic
1214#41—28no—
1215#41—538no—
1216#41—1068no—
1217#41—1068no—
1218#41—1064no—
1219#41—1064no—
1220#41—10616no—
1221#41—10616no—
1222#41—1064no—
1223#41—4248no—
1224#41—4248no—
1225#41—4248no—
1226C2×Q8—531no—
1227C2×Q8—532no—
1228C2×Q8—531no—
1229C2×Q8—538no—
1230C2×Q8—1064no—
1231C2×Q8C23×D5312yes—
1232C2×Q8C23×D5314yes—
1233C2×D4—532no—
1234C2×D4—532no—
1235C2×D4—532no—
1236C2×D4—538no—
1237C2×D4—532no—
1238C2×D4—538no—
1239C2×D4—538no—
1240C2×D4—538no—
1241C2×D4—538no—
1242C2×D4—538no—
1243C2×D4—531no—
1244C2×D4—532no—
1245C2×D4—538no—
1246C2×D4—534no—
1247C2×D4—534no—
1248C2×D4—531no—
1249C2×D4—538no—
1250C2×D4—538no—
1251C2×D4—538no—
1252C2×D4—538no—
1253C2×D4—1064no—
1254C2×D4—10616no—
1255C2×D4—10616no—
1256C2×D4—10632no—
1257C2×D4—1068no—
1258C2×D4—1068no—
1259C2×D4—4244no—
1260C2×D4—4248no—
1261C2×D4—4248no—
1262C2×D4—4244no—
1263C2×D4C23×D5314yes—
1264C2×D4C23×D5312yes—
1265C2×D4C23×D5314yes—
1266C2×D4C23×D5314yes—
1267C2×D4C23×D5314yes—
1268C22×C4—24no—
1269C22×C4—532no—
1270C22×C4—532no—
1271C22×C4—534no—
1272C22×C4—534no—
1273C22×C4—538no—
1274C22×C4—532no—
1275C22×C4—538no—
1276C22×C4—532no—
1277C22×C4—532no—
1278C22×C4—534no—
1279C22×C4—538no—
1280C22×C4—534no—
1281C22×C4—534no—
1282C22×C4—534no—
1283C22×C4—538no—
1284C22×C4—538no—
1285C22×C4—538no—
1286C22×C4—538no—
1287C22×C4—1068no—
1288C22×C4—4248no—
1289C22×C4—4244no—
1290C22×C4C23×D5311yescharacteristic
1291C22×C4C23×D5314yes—
1292C22×C4C23×D5311yescharacteristic
1293C22×C4C23×D5311yescharacteristic
1294C22×C4C23×D5311yescharacteristic
1295C22×C4C23×D5311yescharacteristic
1296C22×C4C23×D5312yes—
1297C22×C4C23×D5314yes—
1298C22×C4C23×D5312yes—
1299C22×C4C23×D5314yes—
1300C22×C4C23×D5311yescharacteristic
1301C4⋊C4—534no—
1302C4⋊C4—532no—
1303C4⋊C4—534no—
1304C4⋊C4—538no—
1305C4⋊C4—534no—
1306C4⋊C4—534no—
1307C4⋊C4—538no—
1308C4⋊C4—538no—
1309C4⋊C4—534no—
1310C4⋊C4—532no—
1311C4⋊C4—534no—
1312C4⋊C4—534no—
1313C4⋊C4—538no—
1314C4⋊C4—538no—
1315C4⋊C4—538no—
1316C4⋊C4—538no—
1317C4⋊C4—538no—
1318C4⋊C4C23×D5312yes—
1319C4⋊C4C23×D5312yes—
1320C4⋊C4C23×D5312yes—
1321C4⋊C4C23×D5314yes—
1322C4⋊C4C23×D5314yes—
1323C4⋊C4C23×D5312yes—
1324C4⋊C4C23×D5312yes—
1325C4⋊C4C23×D5312yes—
1326C4⋊C4C23×D5314yes—
1327C4⋊C4C23×D5314yes—
1328C4⋊C4C23×D5314yes—
1329C4⋊C4C23×D5314yes—
1330C4⋊C4C23×D5314yes—
1331C4⋊C4C23×D5314yes—
1332C22⋊C4—532no—
1333C22⋊C4—534no—
1334C22⋊C4—538no—
1335C22⋊C4—532no—
1336C22⋊C4—538no—
1337C22⋊C4—534no—
1338C22⋊C4—538no—
1339C22⋊C4—538no—
1340C22⋊C4—538no—
1341C22⋊C4—538no—
1342C22⋊C4—538no—
1343C22⋊C4—538no—
1344C22⋊C4—534no—
1345C22⋊C4—534no—
1346C22⋊C4—534no—
1347C22⋊C4—538no—
1348C22⋊C4—538no—
1349C22⋊C4—538no—
1350C22⋊C4—538no—
1351C22⋊C4—538no—
1352C22⋊C4—538no—
1353C22⋊C4C23×D5312yes—
1354C22⋊C4C23×D5312yes—
1355C22⋊C4C23×D5314yes—
1356C22⋊C4C23×D5314yes—
1357C22⋊C4C23×D5314yes—
1358C22⋊C4C23×D5314yes—
1359C22⋊C4C23×D5312yes—
1360C22⋊C4C23×D5312yes—
1361C22⋊C4C23×D5314yes—
1362C22⋊C4C23×D5314yes—
1363C22⋊C4C23×D5314yes—
1364C22⋊C4C23×D5314yes—
1365C22⋊C4C23×D5314yes—
1366C42—534no—
1367C42—532no—
1368C42—532no—
1369C42—538no—
1370C42—534no—
1371C42—534no—
1372C42—534no—
1373C42—538no—
1374C42—534no—
1375C42C23×D5311yescharacteristic
1376C42C23×D5311yescharacteristic
1377C42C23×D5311yescharacteristic
1378C42C23×D5311yescharacteristic
1379C42C23×D5314yes—
1380C42C23×D5312yes—
1381C42C23×D5314yes—
1382C42C23×D5314yes—
1383C42C23×D5312yes—
1384C23—22no—
1385C23—42no—
1386C23—532no—
1387C23—538no—
1388C23—532no—
1389C23—1064no—
1390C23—10616no—
1391C23—1068no—
1392C23—2124no—
1393C23—2128no—
1394C23—2124no—
1395C23—2128no—
1396C23—2124no—
1397C23C24×D5311yescharacteristic
1398C23C24×D5314yes—
1399C23C24×D5311yescharacteristic
1400C23C24×D5311yescharacteristic
1401Q8—24no—
1402Q8—44no—
1403Q8—534no—
1404Q8—1064no—
1405Q8—1062no—
1406Q8—2128no—
1407D4—28no—
1408D4—24no—
1409D4—44no—
1410D4—44no—
1411D4—44no—
1412D4—538no—
1413D4—534no—
1414D4—10616no—
1415D4—1064no—
1416D4—10616no—
1417D4—1064no—
1418D4—1064no—
1419D4—1064no—
1420D4—1068no—
1421D4—1068no—
1422D4—1062no—
1423D4—2128no—
1424D4—2128no—
1425D4—2128no—
1426D4—2128no—
1427D4—2128no—
1428D4—2128no—
1429D4—2128no—
1430D4—2128no—
1431D4—2128no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—28no—
1438C2×C4—42no—
1439C2×C4—44no—
1440C2×C4—42no—
1441C2×C4—44no—
1442C2×C4—532no—
1443C2×C4—538no—
1444C2×C4—534no—
1445C2×C4—532no—
1446C2×C4—534no—
1447C2×C4—538no—
1448C2×C4—1064no—
1449C2×C4—10616no—
1450C2×C4—1064no—
1451C2×C4—1064no—
1452C2×C4—1064no—
1453C2×C4—2124no—
1454C2×C4—2128no—
1455C2×C4—2128no—
1456C2×C4—2128no—
1457C2×C4—2128no—
1458C2×C4—2124no—
1459C2×C4—2124no—
1460C2×C4—2128no—
1461C2×C4—2124no—
1462C2×C4—2124no—
1463C2×C4—2128no—
1464C2×C4—2124no—
1465C2×C4#41×D5314yes—
1466C2×C4C24×D5311yescharacteristic
1467C2×C4C24×D5312yes—
1468C2×C4C24×D5312yes—
1469C2×C4C24×D5314yes—
1470C2×C4C24×D5314yes—
1471C2×C4C24×D5312yes—
1472C2×C4C24×D5312yes—
1473C2×C4C24×D5314yes—
1474C2×C4C24×D5311yescharacteristic
1475C2×C4C24×D5311yescharacteristic
1476C2×C4C24×D5311yescharacteristic
1477C22—22no—
1478C22—21no—
1479C22—21no—
1480C22—24no—
1481C22—24no—
1482C22—24no—
1483C22—22no—
1484C22—22no—
1485C22—82no—
1486C22—534no—
1487C22—1064no—
1488C22—1062no—
1489C22—1068no—
1490C22—1068no—
1491C22—1064no—
1492C22—1068no—
1493C22—4248no—
1494C22—4244no—
1495C22—42416no—
1496C22C2×#41×D5312yes—
1497C22C25×D5311yescharacteristic
1498C4—21no—
1499C4—21no—
1500C4—24no—
1501C4—22no—
1502C4—22no—
1503C4—24no—
1504C4—22no—
1505C4—24no—
1506C4—22no—
1507C4—534no—
1508C4—1062no—
1509C4—1064no—
1510C4—1068no—
1511C4—1064no—
1512C4C2×#41×D5312yes—
1513C4C2×#41×D5312yes—
1514C2—22no—
1515C2—41no—
1516C2—41no—
1517C2—44no—
1518C2—1064no—
1519C2—2128no—
1520C2—2122no—
1521C2C22×#41×D5311yescharacteristic
1522C2#2028952612yes—
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3455C2
hypercenter#3455D53
hypocenterC53#62858
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #20288820C2semidirect
2. #20288749C2semidirect
3. #20288739C2semidirect
4. #20288719C2semidirect
5. #20288659C2semidirect
6. #20288645C2semidirect
7. #20288638C2semidirect
8. #20288635C2semidirect
9. #20288592C2semidirect
10. #20288587C2semidirect
11. #20288536C2semidirect
12. #20288488C2semidirect
13. #20288452C2semidirect
14. #20288448C2semidirect
15. #20288376C2semidirect
16. #20288135C2semidirect
17. #20288131C2semidirect
18. #20288106C2semidirect
19. C2×#16811228C2semidirect
20. #540×D53C2semidirect
21. C4×#13133263C2semidirect
22. #20287916C2semidirect
23. C53×#3455C2semidirect
26. #16811358C22semidirect
27. #16811357C22semidirect
28. #16811351C22semidirect
29. #16811338C22semidirect
30. #16811335C22semidirect
31. #16811333C22semidirect
32. #16811327C22semidirect
33. #16811326C22semidirect
34. #16811324C22semidirect
35. #16811324C22semidirect
36. #16811324C22semidirect
37. #16811319C22semidirect
38. #16811319C22semidirect
39. #16811319C22semidirect
40. #16811318C22semidirect
41. #16811316C22semidirect
42. #16811313C22semidirect
43. #16811305C22semidirect
44. #16811300C22semidirect
45. #16811298C22semidirect
46. #16811296C22semidirect
47. #16811295C22semidirect
48. #16811294C22semidirect
49. #16811294C22semidirect
50. #16811291C22semidirect
51. #16811282C22semidirect
52. #16811277C22semidirect
53. #16811275C22semidirect
54. #16811269C22semidirect
55. #16811266C22semidirect
56. #16811265C22semidirect
57. #16811265C22semidirect
58. #16811265C22semidirect
59. #16811264C22semidirect
60. #16811262C22semidirect
61. #16811260C22semidirect
62. D4×D212C22semidirect
63. D4×D212C22semidirect
64. #16811257C22semidirect
65. #16811255C22semidirect
66. #16811251C22semidirect
67. #16811250C22semidirect
68. #16811246C22semidirect
69. #16811245C22semidirect
70. #16811244C22semidirect
71. #16811243C22semidirect
72. #16811234C22semidirect
73. #16811229C22semidirect
74. #16811229C22semidirect
75. #16811228C22semidirect
76. #16811228C22semidirect
77. #16811228C22semidirect
78. #16811228C22semidirect
79. #16811228C22semidirect
80. #16811228C22semidirect
81. #16811228C22semidirect
82. #16811227C22semidirect
83. #16811226C22semidirect
84. #16811225C22semidirect
85. #16811225C22semidirect
86. #16811224C22semidirect
87. #16811223C22semidirect
88. #16811221C22semidirect
89. #16811212C22semidirect
90. #16811212C22semidirect
91. #16811207C22semidirect
92. #16811206C22semidirect
93. #16811203C22semidirect
94. #16811201C22semidirect
95. #16811192C22semidirect
96. #16811191C22semidirect
97. #16811189C22semidirect
98. #16811187C22semidirect
99. #16811179C22semidirect
100. #16811174C22semidirect
101. #16811174C22semidirect
102. #16811173C22semidirect
103. #16811172C22semidirect
104. #16811170C22semidirect
105. #16811168C22semidirect
106. C2×#13133214C22semidirect
107. #127×D53C22semidirect
108. #16811160C22semidirect
109. #16811159C22semidirect
110. #16811158C22semidirect
111. #16811157C22semidirect
112. #16811156C22semidirect
113. #16811156C22semidirect
114. #16811152C22semidirect
115. C2×#13133209C22semidirect
116. #125×D53C22semidirect
117. #16811136C22semidirect
118. #16811136C22semidirect
119. #16811132C22semidirect
120. #16811131C22semidirect
121. C2×#13133202C22semidirect
122. #123×D53C22semidirect
123. C2×#13133191C22semidirect
124. C2×#13133190C22semidirect
125. #121×D53C22semidirect
126. #121×D53C22semidirect
127. #16811106C22semidirect
128. #16811105C22semidirect
129. #16811104C22semidirect
131. #16811103C22semidirect
132. #16811103C22semidirect
133. #16811103C22semidirect
134. #16811100C22semidirect
135. #16811097C22semidirect
136. #16811097C22semidirect
137. #16811097C22semidirect
138. #16811096C22semidirect
139. #16811095C22semidirect
140. #16811095C22semidirect
141. C4×#11719949C22semidirect
144. C4×#11719945C22semidirect
145. C4×#11719945C22semidirect
146. C4×#11719945C22semidirect
147. #16811091C22semidirect
148. #16811091C22semidirect
149. C2×C4×D212C22semidirect
150. C2×C4×D212C22semidirect
151. C4×D4×D53C22semidirect
152. C4×D4×D53C22semidirect
153. C2×#13133176C22semidirect
154. #117×D53C22semidirect
155. #117×D53C22semidirect
156. C53×#542C22semidirect
157. C53×#542C22semidirect
158. C53×#541C22semidirect
159. C53×#541C22semidirect
160. C53×#540C22semidirect
161. C53×#540C22semidirect
162. C53×#539C22semidirect
163. C53×#538C22semidirect
164. C53×#533C22semidirect
165. C53×#532C22semidirect
166. C53×#529C22semidirect
167. C53×#529C22semidirect
168. C53×#525C22semidirect
169. C4×#41×C53C22semidirect
170. C2×#117×C53C22semidirect
502. #11719945#41semidirect
771. #3455D53semidirect
833. #542C2×D53semidirect
834. #542C2×D53semidirect
836. #541C2×D53semidirect
837. #541C2×D53semidirect
853. #540C2×D53semidirect
854. #540C2×D53semidirect
856. #539C2×D53semidirect
861. #538C2×D53semidirect
869. #533C2×D53semidirect
876. #532C2×D53semidirect
886. #529C2×D53semidirect
887. #529C2×D53semidirect
894. #525C2×D53semidirect
923. C4×#41C2×D53semidirect
931. C2×#117C2×D53semidirect
932. C53#62858semidirect

Maximal subgroups

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

subgroupindex
#202888202
#202887492
#202887392
#202887192
#202886592
#202886452
#202886382
#202886352
#202885922
#202885872
#202885362
#202884882
#202884522
#202884482
#202883762
#202881352
#202881312
#202881062
C2×#168112282
#540×D532
C4×#131332632
#202879162
C53×#34552
#6285853