Finite Group Databasebeta

← #28293014

Subgroups — #28293014

Order 13568.

7148 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289280C214yesmaximal, complemented
2#20289249C214yesmaximal, complemented
3#20289186C214yesmaximal, complemented
4#20289126C212yesmaximal, complemented
5#20289115C212yesmaximal, complemented
6#20289098C214yesmaximal, complemented
7#20288944C214yesmaximal, complemented
8#20288800C214yesmaximal, complemented
9#20288759C214yesmaximal, complemented
10#20288628C212yesmaximal, complemented
11#20288627C214yesmaximal, complemented
12#20288592C212yesmaximal, complemented
13#20288580C212yesmaximal, complemented
14#20288569C212yesmaximal, complemented
15#20288527C212yesmaximal, complemented
16#20288516C212yesmaximal, complemented
17#20288498C212yesmaximal, complemented
18#20288486C212yesmaximal, complemented
19#20288450C214yesmaximal, complemented
20#20288391C214yesmaximal, complemented
21#20288011C211yesmaximal, characteristic, complemented
22C2×#16811173C211yesmaximal, characteristic, complemented
23C2×C53×#533C211yesmaximal, characteristic, complemented
24C2×#13133265C2214yescomplemented
25C22×#11719945C2212yes—
26#16811377C2218yescomplemented
27#16811371C2218yescomplemented
28#16811369C22116yescomplemented
29#16811358C2218yescomplemented
30#16811358C2214yescomplemented
31#16811358C2214yescomplemented
32Q8×Dic106C2214yescomplemented
33#16811351C2214yescomplemented
34#16811347C2214yescomplemented
35#16811346C2214yescomplemented
36#16811345C2218yescomplemented
37#16811339C2214yescomplemented
38#16811336C2218yescomplemented
39#16811334C2214yescomplemented
40#16811333C2218yescomplemented
41#16811333C2214yescomplemented
42#16811333C2214yescomplemented
43#16811331C2218yes—
44#16811329C2218yescomplemented
45#16811326C2218yescomplemented
46#16811321C2218yescomplemented
47#16811317C2218yescomplemented
48#16811314C2218yescomplemented
49#16811297C22116yes—
50#16811295C2214yescomplemented
51#16811295C2214yescomplemented
52#16811295C2214yescomplemented
53Q8×D212C2214yescomplemented
54Q8×D212C2214yescomplemented
55#16811288C2214yescomplemented
56#16811288C2214yescomplemented
57#16811286C2218yes—
58#16811285C2218yescomplemented
59#16811285C2218yescomplemented
60#16811284C2218yescomplemented
61#16811283C2218yescomplemented
62#16811276C2214yescomplemented
63#16811276C2214yescomplemented
64#16811276C2214yescomplemented
65#16811275C2218yescomplemented
66#16811274C22116yescomplemented
67#16811274C2218yescomplemented
68#16811274C2218yescomplemented
69#16811264C2218yes—
70#16811264C2218yes—
71#16811263C22116yes—
72#16811253C2218yescomplemented
73#16811251C2214yes—
74#16811248C2218yes—
75#16811247C2218yescomplemented
76#16811246C2218yescomplemented
77#16811245C22116yescomplemented
78#16811245C2218yescomplemented
79#16811244C2218yescomplemented
80#16811229C2218yescomplemented
81#16811228C2218yescomplemented
82#16811221C22116yescomplemented
83#16811220C2218yescomplemented
84#16811213C2218yes—
85#16811204C2214yescomplemented
86#16811204C2218yescomplemented
87#16811203C2218yescomplemented
88#16811203C2218yescomplemented
89#16811198C2218yescomplemented
90#16811197C2214yescomplemented
91#16811196C2218yescomplemented
92#16811192C2214yes—
93#16811180C2211yescharacteristic
94#16811180C2211yescharacteristic, complemented
95#16811180C2211yescharacteristic, complemented
96#16811178C2214yescomplemented
97#16811174C2214yescomplemented
98#16811174C2214yescomplemented
99#16811173C2211yescharacteristic
100#16811173C2212yes—
101#16811173C2212yes—
102#16811173C2212yes—
103#16811173C2212yes—
104#16811173C2212yes—
105#16811173C2212yes—
106#16811173C2212yes—
107#16811173C2212yes—
108#16811173C2211yescharacteristic, complemented
109#16811173C2211yescharacteristic, complemented
110#16811173C2218yescomplemented
111C2×#13133217C2211yescharacteristic
112C4⋊Q8×D53C2214yescomplemented
113C2×#13133214C2211yescharacteristic
114#16811157C2212yes—
115#16811157C2212yes—
116#16811157C2212yescomplemented
117#16811157C2212yescomplemented
118#16811157C2212yescomplemented
119#16811157C2212yescomplemented
120#16811157C2218yescomplemented
121C2×#13133205C2212yes—
122#16811136C2218yes—
123#16811134C2212yes—
124#16811134C2212yes—
125#16811134C2212yes—
126C22⋊Q8×D53C2218yes—
127C2×#13133191C2212yes—
128C2×#13133191C2212yes—
129#16811105C2218yescomplemented
130#16811104C2214yescomplemented
131#16811103C2214yes—
132#16811097C2214yes—
133C4×#11719945C2212yes—
134C4×#11719945C2212yescomplemented
135C4×#11719945C2212yescomplemented
136C2×C4×D212C2212yes—
137C2×C4×D212C2212yes—
138C53×#533C2212yes—
139C53×#533C2212yes—
140C53×#533C2212yes—
141C53×#533C2212yes—
142C53×#533C2212yescomplemented
143C53×#533C2212yescomplemented
144C53×#533C2212yescomplemented
145C53×#533C2212yescomplemented
146C2×C4⋊Q8×C53C2211yescharacteristic, complemented
147C2×C4⋊Q8×C53C2211yescharacteristic, complemented
148C2×#125×C53C2212yescomplemented
149C2×C22⋊Q8×C53C2212yes—
150C2×C22⋊Q8×C53C2212yes—
151C2×C4×Q8×C53C2212yescomplemented
152C2×C4×Q8×C53C2212yescomplemented
153C2×#117×C53C2212yes—
154C22×C42×C53C2211yescharacteristic
155#13133265—416no—
156C2×#11719949C2318yes—
157C2×#11719949C2318yes—
158C2×#11719949C2318yes—
159C2×#11719945—48no—
160C2×#11719945C2312yes—
161C2×#11719945C2312yes—
162C2×#11719945C2314yes—
163C2×#11719945C2314yes—
164C2×#11719945C23116yes—
165C2×#11719945C2314yes—
166C2×#11719945C2312yes—
167C2×#11719945C2314yes—
168C22×Dic106C2312yes—
169C2×Q8×D53C2318yes—
170C2×Q8×D53C2318yes—
171C22×D212C2312yes—
172C22×D212C2312yes—
173C22×D212C2312yes—
174C22×C22⋊D53C2314yes—
175C22×C4×D53C2314yes—
176#13133217C2311yescharacteristic
177#13133217C2318yes—
178#13133217C2312yes—
179#13133217C2311yescharacteristic
180#13133217C2312yes—
181#13133217C2311yescharacteristic
182#13133217C2312yes—
183#13133217C2312yes—
184#13133216C23116yes—
185#13133216C2318yes—
186#13133216C2318yes—
187#13133215C2318yes—
188#13133214C2311yescharacteristic
189#13133214C2318yes—
190#13133214C2312yes—
191#13133214C2312yes—
192#13133214C2312yes—
193#13133214C2312yes—
194#13133212C23116yes—
195#13133212C23116yes—
196#13133211C23116yes—
197#13133211C2314yes—
198#13133211C2314yes—
199#13133209C2312yes—
200#13133209C2312yes—
201#13133209C2318yes—
202#13133209C2312yes—
203#13133208C2318yes—
204#13133207C23116yes—
205#13133206C2318yes—
206#13133206C2318yes—
207#13133206C23116yes—
208#13133205C2312yes—
209#13133205C23116yes—
210#13133205C2314yes—
211#13133205C2318yes—
212#13133205C2312yes—
213#13133205C2312yes—
214#13133205C2314yes—
215#13133205C2314yes—
216#13133205C2314yes—
217#13133203C23116yes—
218#13133202C23116yes—
219#13133202C23116yes—
220#13133202C23116yes—
221#13133202C23116yes—
222#13133202C23116yes—
223#13133202C23116yes—
224#13133200C2314yes—
225#13133200C23116yes—
226#13133200C2314yes—
227#13133200C2314yes—
228#13133199C23116yes—
229#13133197C2318yes—
230#13133197C23116yes—
231#13133197C23116yes—
232#13133197C2318yes—
233#13133196C2312yes—
234#13133196C2312yes—
235#13133196C2312yes—
236#13133196C2312yes—
237#13133196C2312yes—
238#13133196C2312yes—
239#13133195C23116yes—
240#13133195C23116yes—
241#13133195C23116yes—
242#13133195C23116yes—
243#13133195C23116yes—
244#13133194C23116yes—
245#13133193C2318yes—
246#13133193C2318yes—
247#13133193C2318yes—
248#13133193C23116yes—
249#13133192C2318yes—
250#13133192C23116yes—
251#13133192C2318yes—
252#13133192C23116yes—
253#13133192C2318yes—
254#13133192C2318yes—
255#13133192C23116yes—
256#13133192C2318yes—
257#13133191C2314yes—
258#13133191C2314yes—
259#13133191C23116yes—
260#13133191C2314yes—
261#13133191C2314yes—
262#13133191C2314yes—
263#13133191C2314yes—
264#13133191C2314yes—
265#13133191C2314yes—
266#13133191C2312yes—
267#13133191C2312yes—
268#13133191C2312yes—
269#13133191C2312yes—
270#13133191C2312yes—
271#13133191C2312yes—
272#13133190C23116yes—
273#13133190C23116yes—
274#13133187C23116yes—
275#13133186C2314yes—
276Q8×Dic53C2318yes—
277C4×Dic106C2312yes—
278C4×Dic106C2312yes—
279C4×Dic106C2312yes—
280C4×Dic106C2312yes—
281C4×Dic106C2318yes—
282C4×Dic106C2312yes—
283C4×Dic106C2312yes—
284#13133182C2318yes—
285C4×D212C2312yes—
286C4×D212C2314yes—
287C4×D212C2312yes—
288C4×D212C2314yes—
289C4×D212C2312yes—
290C4×D212C23116yes—
291C4×D212C2314yes—
292C4×D212C2312yes—
293C4×D212C2314yes—
294C4×D212C2318yes—
295C4×D212C2318yes—
296C4×D212C2312yes—
297C4×D212C2318yes—
298C4×D212C2312yes—
299C4×D212C2314yes—
300C4×D212C2314yes—
301C4×D212C2314yes—
302C4×D212C2314yes—
303#13133179C2318yes—
304#13133179C2318yes—
305#13133179C23116yes—
306#13133179C2318yes—
307#13133179C2318yes—
308C4×C22⋊D53C2314yes—
309C4×C22⋊D53C2314yes—
310C4×C22⋊D53C2314yes—
311C4×C22⋊D53C2314yes—
312C4×C22⋊D53C23116yes—
313C4×C22⋊D53C2314yes—
314C4×C22⋊D53C2314yes—
315#13133177C23116yes—
316#13133176C2312yes—
317#13133176C2312yes—
318#13133176C2312yes—
319#13133175C2318yes—
320#13133175C2318yes—
321#13133174C23116yes—
322#13133174C2314yes—
323#13133174C2314yes—
324#13133174C2314yes—
325C2×C4⋊Dic53C2312yes—
326C2×C4⋊Dic53C2312yes—
327C4⋊C4×D53C23116yes—
328C4⋊C4×D53C2318yes—
329C4⋊C4×D53C2318yes—
330C4⋊C4×D53C2318yes—
331C2×#11719921C2314yes—
332C2×#11719921C2314yes—
333C22⋊C4×D53C23116yes—
334C42×D53C2314yes—
335C22×Q8×C53C2312yes—
336C22×Q8×C53C2312yes—
337C23×C4×C53C2311yescharacteristic
338C23×C4×C53C2311yescharacteristic
339C23×C4×C53C2311yescharacteristic
340C4⋊Q8×C53C2312yes—
341C4⋊Q8×C53C2312yes—
342C4⋊Q8×C53C2312yes—
343C4⋊Q8×C53C2312yes—
344C4⋊Q8×C53C2312yes—
345C4⋊Q8×C53C2312yes—
346C4⋊Q8×C53C2312yes—
347C4⋊Q8×C53C2312yes—
348#125×C53C2314yes—
349#125×C53C2314yes—
350#125×C53C2314yes—
351#125×C53C2314yes—
352C22⋊Q8×C53C2314yes—
353C22⋊Q8×C53C2314yes—
354C22⋊Q8×C53C2314yes—
355C22⋊Q8×C53C2314yes—
356C22⋊Q8×C53C2314yes—
357C22⋊Q8×C53C2314yes—
358C22⋊Q8×C53C2314yes—
359C22⋊Q8×C53C2314yes—
360C4×Q8×C53C2314yes—
361C4×Q8×C53C2314yes—
362C4×Q8×C53C2314yes—
363C4×Q8×C53C2314yes—
364C4×Q8×C53C2314yes—
365C4×Q8×C53C2314yes—
366C4×Q8×C53C2314yes—
367C4×Q8×C53C2314yes—
368#117×C53C2314yes—
369#117×C53C2314yes—
370#117×C53C2314yes—
371#117×C53C2314yes—
372C2×C4⋊C4×C53C2312yes—
373C2×C4⋊C4×C53C2314yes—
374C2×C4⋊C4×C53C2312yes—
375C2×C4⋊C4×C53C2312yes—
376C2×C4⋊C4×C53C2314yes—
377C2×C4⋊C4×C53C2312yes—
378C2×C22⋊C4×C53C2314yes—
379C2×C42×C53C2311yescharacteristic
380C2×C42×C53C2311yescharacteristic
381C2×C42×C53C2311yescharacteristic
382C2×C42×C53C2311yescharacteristic
383C2×C42×C53C2311yescharacteristic
384C2×C42×C53C2311yescharacteristic
385C2×C42×C53C2311yescharacteristic
386C2×C42×C53C2311yescharacteristic
387C2×C42×C53C2311yescharacteristic
388C2×C42×C53C2311yescharacteristic
389C2×C42×C53C2311yescharacteristic
390C2×C42×C53C2311yescharacteristic
391C2×C42×C53C2314yes—
392C24×C53C2411yescharacteristic
393C23×D53C2414yes—
394C2×Q8×C53—28no—
395C2×Q8×C53—44no—
396C2×Q8×C53C2414yes—
397C2×Q8×C53C2414yes—
398C2×Q8×C53C2414yes—
399C2×Q8×C53C2414yes—
400C22×C4×C53—24no—
401C22×C4×C53—24no—
402C22×C4×C53—42no—
403C22×C4×C53C2411yescharacteristic
404C22×C4×C53C2411yescharacteristic
405C22×C4×C53C2411yescharacteristic
406C22×C4×C53C2411yescharacteristic
407C22×C4×C53C2411yescharacteristic
408C22×C4×C53C2411yescharacteristic
409C22×C4×C53C2411yescharacteristic
410C22×C4×C53C2411yescharacteristic
411C22×C4×C53C2411yescharacteristic
412C22×C4×C53C2411yescharacteristic
413C22×C4×C53C2411yescharacteristic
414C22×C4×C53C2411yescharacteristic
415C22×C4×C53C2411yescharacteristic
416C22×C4×C53C2414yes—
417C22×C4×C53C2411yescharacteristic
418C22×C4×C53C2411yescharacteristic
419C22×C4×C53C2411yescharacteristic
420C22×C4×C53C2414yes—
421C22×C4×C53C2411yescharacteristic
422C22×C4×C53C2411yescharacteristic
423C2×C22⋊D53—48no—
424C2×C22⋊D53C2414yes—
425C2×C22⋊D53C2414yes—
426C2×C22⋊D53C2418yes—
427C2×C22⋊D53C2414yes—
428C2×C22⋊D53C2418yes—
429C22×Dic53C2414yes—
430#11719949—416no—
431#11719949—416no—
432#11719949—416no—
433Q8×D53—416no—
434Q8×D53—416no—
435#11719945—216no—
436#11719945—28no—
437#11719945—28no—
438#11719945—48no—
439#11719945—48no—
440#11719945—44no—
441#11719945—48no—
442#11719945—432no—
443C2×D212—28no—
444C2×D212—44no—
445C2×D212—44no—
446C2×D212C2414yes—
447C2×D212C2414yes—
448C2×D212C2414yes—
449C2×D212C2414yes—
450C2×D212C2412yes—
451C2×D212C2412yes—
452C2×D212C24116yes—
453C2×D212C2412yes—
454C2×D212C2414yes—
455C2×D212C24116yes—
456C2×D212C2414yes—
457C2×C4×D53—48no—
458C2×C4×D53C2414yes—
459C2×C4×D53C2414yes—
460C2×C4×D53C2414yes—
461C2×C4×D53C2418yes—
462C2×C4×D53C24116yes—
463C2×C4×D53C24116yes—
464C2×C4×D53C24116yes—
465C2×C4×D53C2418yes—
466C2×Dic106—44no—
467C2×Dic106C2414yes—
468C2×Dic106C2412yes—
469C2×Dic106C2412yes—
470C2×Dic106C2412yes—
471C2×Dic106C24116yes—
472C2×Dic106C2414yes—
473C4⋊C4×C53C2414yes—
474C4⋊C4×C53C2414yes—
475C4⋊C4×C53C2414yes—
476C4⋊C4×C53C2414yes—
477C4⋊C4×C53C2418yes—
478C4⋊C4×C53C2418yes—
479C4⋊C4×C53C2418yes—
480C4⋊C4×C53C2418yes—
481C4⋊C4×C53C2414yes—
482C4⋊C4×C53C2414yes—
483C4⋊C4×C53C2414yes—
484C4⋊C4×C53C2414yes—
485C22⋊C4×C53C2418yes—
486C22⋊C4×C53C2418yes—
487C42×C53C2411yescharacteristic
488C42×C53C2411yescharacteristic
489C42×C53C2411yescharacteristic
490C42×C53C2411yescharacteristic
491C42×C53C2411yescharacteristic
492C42×C53C2411yescharacteristic
493C42×C53C2411yescharacteristic
494C42×C53C2411yescharacteristic
495C42×C53C2411yescharacteristic
496C42×C53C2411yescharacteristic
497C42×C53C2411yescharacteristic
498C42×C53C2411yescharacteristic
499C42×C53C2411yescharacteristic
500C42×C53C2411yescharacteristic
501C42×C53C2411yescharacteristic
502C42×C53C2411yescharacteristic
503C42×C53C2418yes—
504C42×C53C2418yes—
505C22⋊Dic53C2414yes—
506C22⋊Dic53C2414yes—
507C22⋊Dic53C2414yes—
508#11719921C24116yes—
509#11719921C24116yes—
510#11719921C2418yes—
511#11719921C2418yes—
512#11719921C2418yes—
513#11719921C2418yes—
514#11719921C2414yes—
515#11719921C2414yes—
516#11719921C2414yes—
517#11719921C2414yes—
518#11719921C2414yes—
519#11719921C2414yes—
520#11719921C24116yes—
521#11719921C24116yes—
522#11719921C24116yes—
523C4⋊Dic53C2412yes—
524C4⋊Dic53C2414yes—
525C4⋊Dic53C2414yes—
526C4⋊Dic53C24116yes—
527C4⋊Dic53C2414yes—
528C4⋊Dic53C2414yes—
529C4⋊Dic53C2412yes—
530C4⋊Dic53C2412yes—
531C4⋊Dic53C2412yes—
532C4⋊Dic53C2412yes—
533C4⋊Dic53C2412yes—
534#11719919C2414yes—
535#11719919C24116yes—
536#11719919C24116yes—
537#11719919C24116yes—
538#11719919C2414yes—
539#11719919C2414yes—
540#11719919C2414yes—
541#11719919C2414yes—
542#11719919C2414yes—
543C4×Dic53C2414yes—
544C4×Dic53C2414yes—
545C4×Dic53C2414yes—
546C4×Dic53C24116yes—
547C23×C53—22no—
548C23×C53—22no—
549C23×C53—41no—
550C23×C53C2511yescharacteristic
551C23×C53C2511yescharacteristic
552C23×C53C2511yescharacteristic
553C22×D53—28no—
554C22×D53—44no—
555C22×D53—44no—
556C22×D53C2514yes—
557C22×D53C2518yes—
558Q8×C53—28no—
559Q8×C53—28no—
560Q8×C53—28no—
561Q8×C53—44no—
562C2×C4×C53—22no—
563C2×C4×C53—28no—
564C2×C4×C53—22no—
565C2×C4×C53—22no—
566C2×C4×C53—22no—
567C2×C4×C53—22no—
568C2×C4×C53—22no—
569C2×C4×C53—22no—
570C2×C4×C53—22no—
571C2×C4×C53—22no—
572C2×C4×C53—22no—
573C2×C4×C53—22no—
574C2×C4×C53—22no—
575C2×C4×C53—22no—
576C2×C4×C53—41no—
577C2×C4×C53—41no—
578C2×C4×C53—41no—
579C2×C4×C53—44no—
580C2×C4×C53H(5,𝔽2)14yes—
581C2×C4×C532−1+414yescomplemented
582C2×C4×C53C2511yescharacteristic
583C2×C4×C53C2518yes—
584C2×C4×C53C2511yescharacteristic
585C2×C4×C53C2511yescharacteristic
586C2×C4×C53C2518yes—
587C2×C4×C53C2511yescharacteristic
588C2×C4×C53C2511yescharacteristic
589C2×C4×C53C2511yescharacteristic
590C2×C4×C53C2511yescharacteristic
591C2×C4×C53C2511yescharacteristic
592C2×C4×C53C2511yescharacteristic
593C2×C4×C53C2511yescharacteristic
594C2×C4×C53C2511yescharacteristic
595C2×C4×C53C2511yescharacteristic
596C22⋊D53—28no—
597C22⋊D53—216no—
598C22⋊D53—28no—
599C22⋊D53—48no—
600C22⋊D53—44no—
601C2×Dic53—44no—
602C2×Dic53C2514yes—
603C2×Dic53C2518yes—
604C2×Dic53C2514yes—
605C2×Dic53C2514yes—
606D212—28no—
607D212—24no—
608D212—28no—
609D212—28no—
610D212—24no—
611D212—28no—
612D212—44no—
613D212—44no—
614D212—42no—
615D212—416no—
616D212—416no—
617C4×D53—216no—
618C4×D53—28no—
619C4×D53—28no—
620C4×D53—28no—
621C4×D53—48no—
622C4×D53—416no—
623C4×D53—416no—
624C4×D53—416no—
625Dic106—28no—
626Dic106—24no—
627Dic106—24no—
628Dic106—44no—
629Dic106—42no—
630Dic106—416no—
631#62835—531nomaximal, Sylow
632C22×C53—21no—
633C22×C53—21no—
634C22×C53—21no—
635C22×C53—21no—
636C22×C53—21no—
637C22×C53—21no—
638C22×C53—21no—
639C22×C53—44no—
640C22×C53C2×H(5,𝔽2)12yes—
641C22×C53C2×2−1+412yes—
642C22×C53C2611yescharacteristic
643C2×D53—24no—
644C2×D53—28no—
645C2×D53—24no—
646C2×D53—28no—
647C2×D53—24no—
648C2×D53—28no—
649C2×D53—88no—
650C4×C53—21no—
651C4×C53—28no—
652C4×C53—21no—
653C4×C53—21no—
654C4×C53—21no—
655C4×C53—21no—
656C4×C53—28no—
657C4×C53—21no—
658C4×C53—21no—
659C4×C53C2×H(5,𝔽2)12yes—
660C4×C53C2×H(5,𝔽2)12yes—
661C4×C53C2×2−1+412yes—
662C4×C53C2×2−1+412yes—
663C4×C53#58512yes—
664Dic53—24no—
665Dic53—28no—
666Dic53—24no—
667Dic53—24no—
668#3561—534no—
669#3559—534no—
670#3554—534no—
671#3550—532no—
672#3548—532no—
673#3547—534no—
674#3536—534no—
675#3522—534no—
676#3520—534no—
677#3511—534no—
678#3511—532no—
679#3508—532no—
680#3507—532no—
681#3506—532no—
682#3503—532no—
683#3501—532no—
684#3499—532no—
685#3497—532no—
686#3494—534no—
687#3489—534no—
688#3444—531no—
689C2×#533D5311yescharacteristic, complemented
690C2×#532—531no—
691C2×C53—22no—
692C2×C53—22no—
693C2×C53—41no—
694C2×C53C22×H(5,𝔽2)11yescharacteristic
695C2×C53C22×2−1+411yescharacteristic
696C2×C53C2×#58511yescharacteristic
697D53—44no—
698D53—48no—
699C2×2−1+4—534no—
700C22×#41—532no—
701#563—538no—
702#562—538no—
703#562—5316no—
704#559—538no—
705#559—534no—
706#559—534no—
707Q82—534no—
708#557—534no—
709#556—534no—
710#556—538no—
711#556—534no—
712#555—534no—
713#555—538no—
714#554—534no—
715#554—538no—
716#554—538no—
717#554—534no—
718#554—538no—
719#554—534no—
720#553—538no—
721#553—538no—
722#553—538no—
723#552—538no—
724#551—5316no—
725#550—534no—
726#550—534no—
727#550—534no—
728D4×Q8—534no—
729D4×Q8—534no—
730D4×Q8—538no—
731D4×Q8—534no—
732D4×Q8—534no—
733#548—538no—
734#548—538no—
735#548—538no—
736#548—538no—
737#547—534no—
738#547—534no—
739#547—534no—
740#547—538no—
741#547—5316no—
742#547—538no—
743#547—538no—
744#546—538no—
745#546—538no—
746#546—5316no—
747#544—538no—
748#544—534no—
749#543—538no—
750#542—538no—
751#542—538no—
752#542—538no—
753#542—5316no—
754#542—538no—
755#540—538no—
756#540—538no—
757#539—5316no—
758#539—538no—
759#538—538no—
760#537—538no—
761#537—538no—
762#537—534no—
763#537—538no—
764#536—534no—
765#536—538no—
766#536—538no—
767#535—534no—
768#533—534no—
769#533—531no—
770#533—531no—
771#533—531no—
772#533C2×D5312yes—
773#533C2×D5312yes—
774#533C2×D5312yes—
775#533C2×D5312yes—
776#533C2×D5312yescomplemented
777#533C2×D5312yescomplemented
778#533C2×D5312yescomplemented
779#533C2×D5312yescomplemented
780#532—534no—
781#532—534no—
782#532—532no—
783#532—532no—
784#532—532no—
785#532—532no—
786#532—532no—
787#532—532no—
788#532—532no—
789#532—532no—
790#532—531no—
791#532—531no—
792#532—531no—
793#532—538no—
794C2×C4⋊Q8—534no—
795C2×C4⋊Q8—531no—
796C2×C4⋊Q8C2×D5311yescharacteristic, complemented
797C2×C4⋊Q8C2×D5311yescharacteristic, complemented
798C2×#127—531no—
799#529—532no—
800#529—532no—
801#529—532no—
802#529—532no—
803#529—532no—
804#529—532no—
805#529—538no—
806C2×#125C2×D5312yescomplemented
807C2×#124—532no—
808#525—532no—
809#525—532no—
810#525—532no—
811#525—538no—
812C2×C22⋊Q8—538no—
813C2×C22⋊Q8C2×D5312yes—
814C2×C22⋊Q8C2×D5312yes—
815C2×#121—532no—
816C2×#121—532no—
817#520—538no—
818#520—534no—
819#520—534no—
820#518—534no—
821C4×#41—532no—
822C4×#41—532no—
823C4×#41—532no—
824C2×C4×Q8C2×D5312yescomplemented
825C2×C4×Q8C2×D5312yescomplemented
826C2×C4×D4—532no—
827C2×C4×D4—532no—
828C2×#117C2×D5312yes—
829C22×C42C2×D5311yescharacteristic
830C53#6283511yescharacteristic, complemented, Sylow
8312−1+4—21216no—
832C2×#41—538no—
833C2×#41—538no—
834C2×#41—538no—
835C2×#41—532no—
836C2×#41—532no—
837C2×#41—534no—
838C2×#41—532no—
839C2×#41—534no—
840C2×#41—534no—
841C2×#41—534no—
842C2×#41—5316no—
843C2×#41—2128no—
844C22×Q8—538no—
845C22×Q8—538no—
846C22×Q8—532no—
847C22×Q8C22×D5312yes—
848C22×Q8C22×D5312yes—
849C22×D4—534no—
850C22×D4—532no—
851C22×D4—532no—
852C22×D4—532no—
853C23×C4—534no—
854C23×C4C22×D5311yescharacteristic
855C23×C4C22×D5311yescharacteristic
856C23×C4C22×D5311yescharacteristic
857C4⋊Q8—538no—
858C4⋊Q8—538no—
859C4⋊Q8—538no—
860C4⋊Q8—5316no—
861C4⋊Q8—532no—
862C4⋊Q8—532no—
863C4⋊Q8—532no—
864C4⋊Q8—532no—
865C4⋊Q8—531no—
866C4⋊Q8—531no—
867C4⋊Q8—531no—
868C4⋊Q8—538no—
869C4⋊Q8C22×D5312yes—
870C4⋊Q8C22×D5312yes—
871C4⋊Q8C22×D5312yes—
872C4⋊Q8C22×D5312yes—
873C4⋊Q8C22×D5312yes—
874C4⋊Q8C22×D5312yes—
875C4⋊Q8C22×D5312yes—
876C4⋊Q8C22×D5312yes—
877#127—532no—
878#127—532no—
879#127—532no—
880#127—532no—
881#127—531no—
882#127—538no—
883#126—5316no—
884#126—5316no—
885#126—534no—
886#126—534no—
887#126—5316no—
888#125—538no—
889#125—5316no—
890#125—532no—
891#125—532no—
892#125—532no—
893#125—538no—
894#125C22×D5314yes—
895#125C22×D5314yes—
896#125C22×D5314yes—
897#125C22×D5314yes—
898#124—538no—
899#124—538no—
900#124—5316no—
901#124—5316no—
902#124—534no—
903#124—534no—
904#124—534no—
905#124—534no—
906#124—532no—
907#124—532no—
908#124—532no—
909#124—538no—
910#124—5316no—
911#123—534no—
912#123—534no—
913#123—534no—
914#123—5316no—
915#123—5316no—
916#123—5316no—
917#123—5316no—
918#123—5316no—
919#123—5316no—
920#123—5316no—
921#123—5316no—
922C22⋊Q8—538no—
923C22⋊Q8—538no—
924C22⋊Q8—538no—
925C22⋊Q8—5316no—
926C22⋊Q8—532no—
927C22⋊Q8—532no—
928C22⋊Q8—532no—
929C22⋊Q8—532no—
930C22⋊Q8—532no—
931C22⋊Q8—532no—
932C22⋊Q8—538no—
933C22⋊Q8—5316no—
934C22⋊Q8—538no—
935C22⋊Q8—5316no—
936C22⋊Q8—5316no—
937C22⋊Q8—5316no—
938C22⋊Q8—5316no—
939C22⋊Q8—5316no—
940C22⋊Q8—5316no—
941C22⋊Q8—5316no—
942C22⋊Q8C22×D5314yes—
943C22⋊Q8C22×D5314yes—
944C22⋊Q8C22×D5314yes—
945C22⋊Q8C22×D5314yes—
946C22⋊Q8C22×D5314yes—
947C22⋊Q8C22×D5314yes—
948C22⋊Q8C22×D5314yes—
949C22⋊Q8C22×D5314yes—
950#121—534no—
951#121—534no—
952#121—534no—
953#121—534no—
954#121—534no—
955#121—534no—
956#121—534no—
957#121—534no—
958#121—532no—
959#121—532no—
960#121—532no—
961#121—532no—
962#121—532no—
963#121—532no—
964#121—5316no—
965#121—538no—
966#121—538no—
967#121—538no—
968#121—538no—
969#121—538no—
970#121—5316no—
971#121—5316no—
972#121—5316no—
973#121—5316no—
974#121—5316no—
975#120—534no—
976#120—5316no—
977C4×Q8—538no—
978C4×Q8—538no—
979C4×Q8—532no—
980C4×Q8—532no—
981C4×Q8—532no—
982C4×Q8—532no—
983C4×Q8—532no—
984C4×Q8—532no—
985C4×Q8—538no—
986C4×Q8C22×D5314yes—
987C4×Q8C22×D5314yes—
988C4×Q8C22×D5314yes—
989C4×Q8C22×D5314yes—
990C4×Q8C22×D5314yes—
991C4×Q8C22×D5314yes—
992C4×Q8C22×D5314yes—
993C4×Q8C22×D5314yes—
994C4×D4—534no—
995C4×D4—534no—
996C4×D4—534no—
997C4×D4—534no—
998C4×D4—534no—
999C4×D4—534no—
1000C4×D4—5316no—
1001C4×D4—538no—
1002C4×D4—538no—
1003C4×D4—5316no—
1004C4×D4—538no—
1005C4×D4—538no—
1006C4×D4—5316no—
1007C4×D4—534no—
1008C4×D4—534no—
1009C4×D4—534no—
1010C4×D4—534no—
1011C4×D4—534no—
1012C4×D4—534no—
1013C4×D4—534no—
1014C4×D4—534no—
1015C4×D4—532no—
1016C4×D4—532no—
1017C4×D4—532no—
1018C4×D4—532no—
1019C4×D4—532no—
1020C4×D4—532no—
1021C4×D4—538no—
1022C4×D4—538no—
1023C4×D4—538no—
1024C4×D4—5316no—
1025#117—532no—
1026#117—532no—
1027#117—532no—
1028#117—538no—
1029#117—538no—
1030#117—534no—
1031#117—534no—
1032#117—534no—
1033#117—5316no—
1034#117C22×D5314yes—
1035#117C22×D5314yes—
1036#117C22×D5314yes—
1037#117C22×D5314yes—
1038C2×C4⋊C4—532no—
1039C2×C4⋊C4—532no—
1040C2×C4⋊C4—538no—
1041C2×C4⋊C4—5316no—
1042C2×C4⋊C4—538no—
1043C2×C4⋊C4—538no—
1044C2×C4⋊C4C22×D5312yes—
1045C2×C4⋊C4C22×D5312yes—
1046C2×C4⋊C4C22×D5312yes—
1047C2×C4⋊C4C22×D5314yes—
1048C2×C4⋊C4C22×D5314yes—
1049C2×C4⋊C4C22×D5312yes—
1050C2×C22⋊C4—534no—
1051C2×C22⋊C4—534no—
1052C2×C22⋊C4—5316no—
1053C2×C22⋊C4C22×D5314yes—
1054C2×C42—534no—
1055C2×C42C22×D5314yes—
1056C2×C42C22×D5311yescharacteristic
1057C2×C42C22×D5311yescharacteristic
1058C2×C42C22×D5311yescharacteristic
1059C2×C42C22×D5311yescharacteristic
1060C2×C42C22×D5311yescharacteristic
1061C2×C42C22×D5311yescharacteristic
1062C2×C42C22×D5311yescharacteristic
1063C2×C42C22×D5311yescharacteristic
1064C2×C42C22×D5311yescharacteristic
1065C2×C42C22×D5311yescharacteristic
1066C2×C42C22×D5311yescharacteristic
1067C2×C42C22×D5311yescharacteristic
1068C24—534no—
1069C24C23×D5311yescharacteristic
1070#41—10616no—
1071#41—1068no—
1072#41—1068no—
1073#41—2124no—
1074#41—2128no—
1075#41—2128no—
1076#41—21232no—
1077#41—2128no—
1078#41—21216no—
1079#41—21216no—
1080#41—21216no—
1081C2×Q8—28no—
1082C2×Q8—44no—
1083C2×Q8—532no—
1084C2×Q8—532no—
1085C2×Q8—534no—
1086C2×Q8—532no—
1087C2×Q8—5316no—
1088C2×Q8—534no—
1089C2×Q8—2124no—
1090C2×Q8—21216no—
1091C2×Q8—21216no—
1092C2×Q8C23×D5314yes—
1093C2×Q8C23×D5314yes—
1094C2×Q8C23×D5314yes—
1095C2×Q8C23×D5314yes—
1096C2×D4—534no—
1097C2×D4—534no—
1098C2×D4—538no—
1099C2×D4—534no—
1100C2×D4—538no—
1101C2×D4—534no—
1102C2×D4—534no—
1103C2×D4—532no—
1104C2×D4—534no—
1105C2×D4—532no—
1106C2×D4—534no—
1107C2×D4—5316no—
1108C2×D4—532no—
1109C2×D4—534no—
1110C2×D4—5316no—
1111C2×D4—534no—
1112C2×D4—1068no—
1113C2×D4—2124no—
1114C2×D4—2124no—
1115C2×D4—2128no—
1116C22×C4—24no—
1117C22×C4—24no—
1118C22×C4—42no—
1119C22×C4—534no—
1120C22×C4—534no—
1121C22×C4—534no—
1122C22×C4—534no—
1123C22×C4—538no—
1124C22×C4—5316no—
1125C22×C4—5316no—
1126C22×C4—538no—
1127C22×C4—5316no—
1128C22×C4—2128no—
1129C22×C4C23×D5311yescharacteristic
1130C22×C4C23×D5311yescharacteristic
1131C22×C4C23×D5311yescharacteristic
1132C22×C4C23×D5311yescharacteristic
1133C22×C4C23×D5311yescharacteristic
1134C22×C4C23×D5311yescharacteristic
1135C22×C4C23×D5311yescharacteristic
1136C22×C4C23×D5311yescharacteristic
1137C22×C4C23×D5311yescharacteristic
1138C22×C4C23×D5311yescharacteristic
1139C22×C4C23×D5311yescharacteristic
1140C22×C4C23×D5311yescharacteristic
1141C22×C4C23×D5311yescharacteristic
1142C22×C4C23×D5314yes—
1143C22×C4C23×D5311yescharacteristic
1144C22×C4C23×D5311yescharacteristic
1145C22×C4C23×D5311yescharacteristic
1146C22×C4C23×D5314yes—
1147C22×C4C23×D5311yescharacteristic
1148C22×C4C23×D5311yescharacteristic
1149C4⋊C4—532no—
1150C4⋊C4—534no—
1151C4⋊C4—534no—
1152C4⋊C4—534no—
1153C4⋊C4—5316no—
1154C4⋊C4—534no—
1155C4⋊C4—534no—
1156C4⋊C4—5316no—
1157C4⋊C4—5316no—
1158C4⋊C4—5316no—
1159C4⋊C4—532no—
1160C4⋊C4—534no—
1161C4⋊C4—532no—
1162C4⋊C4—532no—
1163C4⋊C4—532no—
1164C4⋊C4—532no—
1165C4⋊C4—534no—
1166C4⋊C4—534no—
1167C4⋊C4—534no—
1168C4⋊C4—534no—
1169C4⋊C4C23×D5314yes—
1170C4⋊C4C23×D5314yes—
1171C4⋊C4C23×D5314yes—
1172C4⋊C4C23×D5318yes—
1173C4⋊C4C23×D5314yes—
1174C4⋊C4C23×D5314yes—
1175C4⋊C4C23×D5314yes—
1176C4⋊C4C23×D5314yes—
1177C4⋊C4C23×D5318yes—
1178C4⋊C4C23×D5318yes—
1179C4⋊C4C23×D5318yes—
1180C4⋊C4C23×D5314yes—
1181C22⋊C4—534no—
1182C22⋊C4—534no—
1183C22⋊C4—534no—
1184C22⋊C4—538no—
1185C22⋊C4—538no—
1186C22⋊C4—5316no—
1187C22⋊C4—5316no—
1188C22⋊C4—538no—
1189C22⋊C4—538no—
1190C22⋊C4—534no—
1191C22⋊C4—534no—
1192C22⋊C4—5316no—
1193C22⋊C4—5316no—
1194C22⋊C4—534no—
1195C22⋊C4—534no—
1196C22⋊C4—5316no—
1197C22⋊C4—534no—
1198C22⋊C4—534no—
1199C22⋊C4C23×D5318yes—
1200C22⋊C4C23×D5318yes—
1201C42—534no—
1202C42—534no—
1203C42—534no—
1204C42—5316no—
1205C42C23×D5311yescharacteristic
1206C42C23×D5311yescharacteristic
1207C42C23×D5311yescharacteristic
1208C42C23×D5311yescharacteristic
1209C42C23×D5311yescharacteristic
1210C42C23×D5311yescharacteristic
1211C42C23×D5311yescharacteristic
1212C42C23×D5311yescharacteristic
1213C42C23×D5311yescharacteristic
1214C42C23×D5311yescharacteristic
1215C42C23×D5311yescharacteristic
1216C42C23×D5311yescharacteristic
1217C42C23×D5311yescharacteristic
1218C42C23×D5311yescharacteristic
1219C42C23×D5311yescharacteristic
1220C42C23×D5311yescharacteristic
1221C42C23×D5318yes—
1222C42C23×D5318yes—
1223C23—22no—
1224C23—22no—
1225C23—41no—
1226C23—538no—
1227C23—534no—
1228C23—1068no—
1229C23—2124no—
1230C23—2124no—
1231C23C24×D5311yescharacteristic
1232C23C24×D5311yescharacteristic
1233C23C24×D5311yescharacteristic
1234Q8—28no—
1235Q8—28no—
1236Q8—28no—
1237Q8—44no—
1238Q8—1064no—
1239Q8—1068no—
1240Q8—1064no—
1241Q8—21216no—
1242Q8—2124no—
1243Q8—2122no—
1244D4—10616no—
1245D4—1068no—
1246D4—1068no—
1247D4—1068no—
1248D4—1064no—
1249D4—1068no—
1250D4—1068no—
1251D4—1064no—
1252D4—1068no—
1253D4—2124no—
1254D4—2124no—
1255D4—2122no—
1256D4—21216no—
1257D4—21216no—
1258D4—2128no—
1259D4—2124no—
1260C2×C4—22no—
1261C2×C4—28no—
1262C2×C4—22no—
1263C2×C4—22no—
1264C2×C4—22no—
1265C2×C4—22no—
1266C2×C4—22no—
1267C2×C4—22no—
1268C2×C4—22no—
1269C2×C4—22no—
1270C2×C4—22no—
1271C2×C4—22no—
1272C2×C4—22no—
1273C2×C4—22no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—44no—
1278C2×C4—534no—
1279C2×C4—534no—
1280C2×C4—534no—
1281C2×C4—538no—
1282C2×C4—10616no—
1283C2×C4—1068no—
1284C2×C4—1068no—
1285C2×C4—1068no—
1286C2×C4—2128no—
1287C2×C4—21216no—
1288C2×C4—21216no—
1289C2×C4—21216no—
1290C2×C4—2124no—
1291C2×C4#1313326314yes—
1292C2×C4#1313326514yescomplemented
1293C2×C4C24×D5318yes—
1294C2×C4C24×D5311yescharacteristic
1295C2×C4C24×D5311yescharacteristic
1296C2×C4C24×D5311yescharacteristic
1297C2×C4C24×D5311yescharacteristic
1298C2×C4C24×D5311yescharacteristic
1299C2×C4C24×D5311yescharacteristic
1300C2×C4C24×D5311yescharacteristic
1301C2×C4C24×D5318yes—
1302C2×C4C24×D5311yescharacteristic
1303C2×C4C24×D5311yescharacteristic
1304C2×C4C24×D5311yescharacteristic
1305C2×C4C24×D5311yescharacteristic
1306C2×C4C24×D5311yescharacteristic
1307C22—21no—
1308C22—21no—
1309C22—21no—
1310C22—21no—
1311C22—21no—
1312C22—21no—
1313C22—21no—
1314C22—44no—
1315C22—1064no—
1316C22—1068no—
1317C22—1064no—
1318C22—1068no—
1319C22—1064no—
1320C22—1068no—
1321C22—4248no—
1322C22C2×#1313326312yes—
1323C22C2×#1313326512yes—
1324C22C25×D5311yescharacteristic
1325C4—21no—
1326C4—21no—
1327C4—28no—
1328C4—21no—
1329C4—21no—
1330C4—21no—
1331C4—21no—
1332C4—21no—
1333C4—28no—
1334C4—1068no—
1335C4—1064no—
1336C4—1064no—
1337C4—1064no—
1338C4C2×#1313326312yes—
1339C4C2×#1313326312yes—
1340C4C2×#1313326512yes—
1341C4C2×#1313326512yes—
1342C4#1681145912yes—
1343C2—22no—
1344C2—22no—
1345C2—41no—
1346C2—2128no—
1347C2—2124no—
1348C2C22×#1313326311yescharacteristic
1349C2C22×#1313326511yescharacteristic
1350C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC2×C53×#533C2
hypercenterC2×#533D53
hypocenterC53#62835
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×#533

Complements

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

NH ≅ G/Ntype
1. #20289280C2semidirect
2. #20289249C2semidirect
3. #20289186C2semidirect
4. #20289126C2semidirect
5. #20289115C2semidirect
6. #20289098C2semidirect
7. #20288944C2semidirect
8. #20288800C2semidirect
9. #20288759C2semidirect
10. #20288628C2semidirect
11. #20288627C2semidirect
12. #20288592C2semidirect
13. #20288580C2semidirect
14. #20288569C2semidirect
15. #20288527C2semidirect
16. #20288516C2semidirect
17. #20288498C2semidirect
18. #20288486C2semidirect
19. #20288450C2semidirect
20. #20288391C2semidirect
21. #20288011C2semidirect
22. C2×#16811173C2semidirect
23. C2×C53×#533C2semidirect
24. C2×#13133265C22semidirect
26. #16811377C22semidirect
27. #16811371C22semidirect
28. #16811369C22semidirect
29. #16811358C22semidirect
30. #16811358C22semidirect
31. #16811358C22semidirect
32. Q8×Dic106C22semidirect
33. #16811351C22semidirect
34. #16811347C22semidirect
35. #16811346C22semidirect
36. #16811345C22semidirect
37. #16811339C22semidirect
38. #16811336C22semidirect
39. #16811334C22semidirect
40. #16811333C22semidirect
41. #16811333C22semidirect
42. #16811333C22semidirect
44. #16811329C22semidirect
45. #16811326C22semidirect
46. #16811321C22semidirect
47. #16811317C22semidirect
48. #16811314C22semidirect
50. #16811295C22semidirect
51. #16811295C22semidirect
52. #16811295C22semidirect
53. Q8×D212C22semidirect
54. Q8×D212C22semidirect
55. #16811288C22semidirect
56. #16811288C22semidirect
58. #16811285C22semidirect
59. #16811285C22semidirect
60. #16811284C22semidirect
61. #16811283C22semidirect
62. #16811276C22semidirect
63. #16811276C22semidirect
64. #16811276C22semidirect
65. #16811275C22semidirect
66. #16811274C22semidirect
67. #16811274C22semidirect
68. #16811274C22semidirect
72. #16811253C22semidirect
75. #16811247C22semidirect
76. #16811246C22semidirect
77. #16811245C22semidirect
78. #16811245C22semidirect
79. #16811244C22semidirect
80. #16811229C22semidirect
81. #16811228C22semidirect
82. #16811221C22semidirect
83. #16811220C22semidirect
85. #16811204C22semidirect
86. #16811204C22semidirect
87. #16811203C22semidirect
88. #16811203C22semidirect
89. #16811198C22semidirect
90. #16811197C22semidirect
91. #16811196C22semidirect
94. #16811180C22semidirect
95. #16811180C22semidirect
96. #16811178C22semidirect
97. #16811174C22semidirect
98. #16811174C22semidirect
108. #16811173C22semidirect
109. #16811173C22semidirect
110. #16811173C22semidirect
112. C4⋊Q8×D53C22semidirect
116. #16811157C22semidirect
117. #16811157C22semidirect
118. #16811157C22semidirect
119. #16811157C22semidirect
120. #16811157C22semidirect
129. #16811105C22semidirect
130. #16811104C22semidirect
134. C4×#11719945C22semidirect
135. C4×#11719945C22semidirect
142. C53×#533C22semidirect
143. C53×#533C22semidirect
144. C53×#533C22semidirect
145. C53×#533C22semidirect
146. C2×C4⋊Q8×C53C22semidirect
147. C2×C4⋊Q8×C53C22semidirect
148. C2×#125×C53C22semidirect
151. C2×C4×Q8×C53C22semidirect
152. C2×C4×Q8×C53C22semidirect
581. C2×C4×C532−1+4semidirect
689. C2×#533D53semidirect
776. #533C2×D53semidirect
777. #533C2×D53semidirect
778. #533C2×D53semidirect
779. #533C2×D53semidirect
796. C2×C4⋊Q8C2×D53semidirect
797. C2×C4⋊Q8C2×D53semidirect
806. C2×#125C2×D53semidirect
824. C2×C4×Q8C2×D53semidirect
825. C2×C4×Q8C2×D53semidirect
830. C53#62835semidirect
1292. C2×C4#13133265semidirect

Maximal subgroups

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

subgroupindex
#202892802
#202892492
#202891862
#202891262
#202891152
#202890982
#202889442
#202888002
#202887592
#202886282
#202886272
#202885922
#202885802
#202885692
#202885272
#202885162
#202884982
#202884862
#202884502
#202883912
#202880112
C2×#168111732
C2×C53×#5332
#6283553