Finite Group Databasebeta

← #28293298

Subgroups — #28293298

Order 13568.

6866 conjugacy classes of subgroups.

The subgroup lattice has 1532 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288608C214yesmaximal, complemented
2#20288605C214yesmaximal, complemented
3#20288598C214yesmaximal, complemented
4#20288595C214yesmaximal, complemented
5#20288582C211yesmaximal, characteristic, complemented
6#20288580C211yesmaximal, characteristic, complemented
7#20288579C212yesmaximal, complemented
8#20288577C211yesmaximal, characteristic, complemented
9#20288573C212yesmaximal, complemented
10#20288466C214yesmaximal, complemented
11#20288463C214yesmaximal, complemented
12#20288460C214yesmaximal, complemented
13#20288456C214yesmaximal, complemented
14#20288409C214yesmaximal, complemented
15#20288407C214yesmaximal, complemented
16#20288145C214yesmaximal, complemented
17#20288144C214yesmaximal, complemented
18#20288118C211yesmaximal, characteristic, complemented
19#20288042C211yesmaximal, characteristic
20#536×D53C212yesmaximal, complemented
21#20287915C212yesmaximal, complemented
22C2×#16811099C211yesmaximal, characteristic, complemented
23C53×#3507C211yesmaximal, characteristic, complemented
24C2×#41×D53C2212yes—
25C22×Q8×D53C2211yescharacteristic
26#16811359C2212yescomplemented
27#16811358C2212yescomplemented
28#16811358C2212yescomplemented
29#16811356C2214yescomplemented
30#16811355C2214yescomplemented
31#16811352C2212yescomplemented
32#16811351C2214yescomplemented
33#16811351C2212yescomplemented
34#16811348C2212yescomplemented
35#16811348C2214yescomplemented
36#16811347C2214yescomplemented
37#16811347C2212yescomplemented
38#16811346C2212yescomplemented
39#16811346C2214yescomplemented
40#16811345C2214yescomplemented
41#16811345C2214yescomplemented
42#16811344C2214yescomplemented
43#16811343C2214yescomplemented
44#16811343C2212yescomplemented
45#16811342C2214yescomplemented
46#16811342C2214yescomplemented
47#16811341C2214yescomplemented
48#16811334C2212yescomplemented
49#16811333C2212yescomplemented
50#16811331C2214yescomplemented
51#16811330C2212yescomplemented
52#16811328C2214yescomplemented
53#16811315C2214yescomplemented
54#16811314C2214yescomplemented
55#16811314C2218yescomplemented
56#16811313C2214yescomplemented
57#16811312C2214yescomplemented
58#16811312C2218yescomplemented
59#16811311C2214yescomplemented
60#16811311C2218yescomplemented
61#16811309C2218yescomplemented
62#16811309C2218yescomplemented
63#16811308C2214yescomplemented
64#16811307C2214yescomplemented
65#16811307C2218yescomplemented
66#16811305C2218yescomplemented
67#16811305C2218yescomplemented
68#16811303C2218yescomplemented
69#16811302C2218yescomplemented
70#16811301C2218yescomplemented
71#16811300C2218yescomplemented
72#16811298C2218yescomplemented
73#16811298C2218yescomplemented
74#16811297C2218yescomplemented
75#16811296C2218yescomplemented
76#16811253C2212yescomplemented
77#16811253C2212yescomplemented
78#16811252C2212yescomplemented
79#16811252C2212yescomplemented
80#16811250C2212yescomplemented
81#16811250C2212yescomplemented
82#16811248C2212yes—
83#16811248C2212yes—
84#16811243C2218yescomplemented
85#16811241C2218yescomplemented
86#16811239C2218yescomplemented
87#16811237C2218yescomplemented
88#16811232C2218yescomplemented
89#16811232C2218yescomplemented
90#16811230C2218yescomplemented
91#16811230C2218yescomplemented
92#16811222C2214yescomplemented
93#16811220C2214yescomplemented
94#16811218C2214yescomplemented
95#16811217C2218yescomplemented
96#16811215C2218yescomplemented
97#16811200C2212yes—
98#16811200C2212yes—
99#16811199C2212yescomplemented
100#16811198C2214yes—
101#16811198C2212yes—
102#16811197C2212yescomplemented
103#16811196C2214yes—
104#16811196C2214yes—
105#16811195C2218yescomplemented
106#16811194C2212yescomplemented
107#16811193C2214yes—
108#16811193C2212yes—
109#16811191C2212yes—
110#16811186C2212yes—
111#16811181C2212yes—
112#16811181C2212yes—
113#16811180C2211yescharacteristic, complemented
114#16811179C2218yescomplemented
115#16811177C2214yescomplemented
116#16811177C2214yescomplemented
117#16811177C2218yescomplemented
118#16811176C2212yescomplemented
119#16811176C2218yescomplemented
120#16811175C2218yescomplemented
121#16811173C2211yescharacteristic
122#16811169C2212yes—
123C4⋊Q8×D53C2214yescomplemented
124#16811159C2214yescomplemented
125#16811157C2214yescomplemented
126#16811156C2218yescomplemented
127#16811154C2214yescomplemented
128#16811153C2218yescomplemented
129#16811153C2218yescomplemented
130#16811151C2218yescomplemented
131#16811150C2218yescomplemented
132#16811150C2218yescomplemented
133#124×D53C2214yescomplemented
134#16811132C2214yes—
135#16811132C2214yes—
136#123×D53C2218yes—
137C22⋊Q8×D53C2214yescomplemented
138C22⋊Q8×D53C2214yescomplemented
139#16811106C2212yescomplemented
140#16811104C2214yes—
141#16811104C2212yescomplemented
142#16811103C2214yes—
143#16811103C2212yescomplemented
144#16811099C2214yescomplemented
145#16811099C2214yescomplemented
146#16811099C2214yescomplemented
147#16811099C2214yescomplemented
148#16811099C2214yescomplemented
149#16811095C2218yes—
150#16811095C2214yescomplemented
151C4×#11719949C2214yes—
152C4×#11719947C2214yes—
153C4×#11719947C2218yescomplemented
154C2×Q8×Dic53C2211yescharacteristic, complemented
155C2×C4×Dic106C2211yescharacteristic, complemented
156C2×C4×Dic106C2212yescomplemented
157C2×#13133182C2211yescharacteristic, complemented
158C2×#13133182C2212yescomplemented
159C2×#13133175C2212yes—
160C2×#13133175C2211yescharacteristic
161C2×#13133175C2214yescomplemented
162C2×#13133174C2211yescharacteristic
163C2×#13133174C2212yes—
164#117×D53C2212yes—
165#117×D53C2214yescomplemented
166C53×#559C2212yescomplemented
167C53×#557C2212yescomplemented
168C53×#556C2214yescomplemented
169C53×#556C2212yescomplemented
170C53×#554C2212yescomplemented
171C53×#552C2214yescomplemented
172C53×#539C2214yescomplemented
173C53×#536C2212yescomplemented
174C53×#533C2211yescharacteristic, complemented
175C53×#532C2211yescharacteristic
176C53×#529C2214yescomplemented
177C53×#520C2212yescomplemented
178C2×C4×Q8×C53C2211yescharacteristic, complemented
179C2×#11719949C2312yes—
180C2×#11719945C2314yes—
181C2×#11719945C2312yes—
182C2×#11719947C2312yes—
183C2×#11719947C2314yes—
184#41×D53—216no—
185C22×Dic106C2311yescharacteristic
186C22×Dic106C2312yes—
187C2×Q8×D53—28no—
188C2×Q8×D53C2314yes—
189C2×Q8×D53C2314yes—
190C2×Q8×D53C2312yes—
191C2×D4×D53C2314yes—
192C2×D4×D53C2312yes—
193C22×C4×D53C2314yes—
194C22×C4×D53C2312yes—
195C22×C4×D53C2311yescharacteristic
196#13133217C2311yescharacteristic
197#13133217C2311yescharacteristic
198#13133217C2314yes—
199#13133217C2311yescharacteristic
200#13133216C2312yes—
201#13133216C2312yes—
202#13133216C2318yes—
203#13133216C2318yes—
204#13133216C2314yes—
205#13133216C2314yes—
206#13133215C2314yes—
207#13133215C2314yes—
208#13133215C2312yes—
209#13133215C2314yes—
210#13133215C2314yes—
211#13133214C2311yescharacteristic
212#13133213C2312yes—
213#13133212C2318yes—
214#13133212C2318yes—
215#13133212C2318yes—
216#13133212C2318yes—
217#13133212C2318yes—
218#13133212C2318yes—
219#13133211C2318yes—
220#13133211C2318yes—
221#13133210C2318yes—
222#13133210C2318yes—
223#13133210C2318yes—
224#13133210C2318yes—
225#13133210C2318yes—
226#13133210C2318yes—
227#13133209C2318yes—
228#13133209C2314yes—
229#13133209C2312yes—
230#13133208C2312yes—
231#13133208C2318yes—
232#13133208C2312yes—
233#13133208C2314yes—
234#13133208C2318yes—
235#13133208C2314yes—
236#13133207C2318yes—
237#13133207C2318yes—
238#13133207C2318yes—
239#13133207C2318yes—
240#13133207C2318yes—
241#13133207C2318yes—
242#13133207C2314yes—
243#13133207C2314yes—
244#13133207C2314yes—
245#13133207C2314yes—
246#13133206C2314yes—
247#13133206C2312yes—
248#13133206C2314yes—
249#13133205C2314yes—
250#13133205C2312yes—
251#13133205C2314yes—
252#13133204C2314yes—
253#13133204C2312yes—
254#13133204C2314yes—
255#13133203C2318yes—
256#13133203C2318yes—
257#13133203C2318yes—
258#13133203C2318yes—
259#13133202C2318yes—
260#13133202C2318yes—
261#13133202C2318yes—
262#13133202C2318yes—
263#13133202C2314yes—
264#13133202C2314yes—
265#13133201C2318yes—
266#13133201C2318yes—
267#13133200C2318yes—
268#13133200C2318yes—
269#13133199C2318yes—
270#13133199C2318yes—
271#13133199C2318yes—
272#13133199C2318yes—
273#13133199C2314yes—
274#13133199C2314yes—
275#13133198C2318yes—
276#13133198C2318yes—
277#13133197C2314yes—
278#13133197C2314yes—
279#13133197C2318yes—
280#13133197C2314yes—
281#13133197C2314yes—
282#13133196C2318yes—
283#13133196C2314yes—
284#13133196C2314yes—
285#13133196C2312yes—
286#13133196C2312yes—
287#13133195C2314yes—
288#13133195C2314yes—
289#13133195C2318yes—
290#13133195C2314yes—
291#13133195C2318yes—
292#13133195C2314yes—
293#13133195C2318yes—
294#13133195C2318yes—
295#13133195C2314yes—
296#13133195C2314yes—
297#13133194C2318yes—
298#13133194C2318yes—
299#13133194C2318yes—
300#13133194C2318yes—
301#13133194C2314yes—
302#13133194C2314yes—
303#13133194C2314yes—
304#13133194C2314yes—
305#13133193C2314yes—
306#13133193C2314yes—
307#13133193C2318yes—
308#13133193C2314yes—
309#13133193C2314yes—
310#13133191C2312yes—
311#13133191C2312yes—
312#13133190C2314yes—
313#13133190C2314yes—
314#13133189C2314yes—
315#13133189C2314yes—
316#13133189C2314yes—
317#13133189C2314yes—
318#13133187C2314yes—
319#13133187C2314yes—
320#13133185C2314yes—
321#13133185C2314yes—
322Q8×Dic53C2314yes—
323Q8×Dic53C2314yes—
324Q8×Dic53C2314yes—
325Q8×Dic53C2314yes—
326C4×Dic106C2314yes—
327C4×Dic106C2318yes—
328C4×Dic106C2312yes—
329C4×Dic106C2312yes—
330C4×Dic106C2312yes—
331C4×Dic106C2312yes—
332C4×Dic106C2314yes—
333C4×Dic106C2314yes—
334C4×Dic106C2314yes—
335C4×Dic106C2312yes—
336C4×Dic106C2318yes—
337C4×Dic106C2318yes—
338C4×Dic106C2312yes—
339C4×Dic106C2318yes—
340#13133182C2314yes—
341#13133182C2318yes—
342#13133182C2314yes—
343#13133182C2314yes—
344#13133182C2318yes—
345#13133182C2318yes—
346#13133182C2314yes—
347#13133182C2318yes—
348C4×D212C2318yes—
349C4×D212C2314yes—
350C4×D212C2312yes—
351C4×D212C2312yes—
352C4×D212C2314yes—
353D4×Dic53C2314yes—
354D4×Dic53C2314yes—
355D4×Dic53C2318yes—
356#13133179C2314yes—
357#13133179C2318yes—
358#13133179C2314yes—
359C4×C22⋊D53C2318yes—
360C4×C22⋊D53C2318yes—
361C4×C22⋊D53C2314yes—
362C4×C22⋊D53C2314yes—
363C4×C22⋊D53C2318yes—
364C4×C22⋊D53C2318yes—
365#13133177C2318yes—
366#13133177C2318yes—
367#13133177C2318yes—
368#13133177C2318yes—
369#13133176C2318yes—
370#13133176C2314yes—
371#13133176C2312yes—
372#13133175C2318yes—
373#13133175C2318yes—
374#13133175C2318yes—
375#13133175C2318yes—
376#13133175C2318yes—
377#13133175C2314yes—
378#13133175C2314yes—
379#13133175C2312yes—
380#13133175C2312yes—
381#13133175C2314yes—
382#13133175C2314yes—
383#13133175C2318yes—
384#13133174C2318yes—
385#13133174C2318yes—
386#13133174C2318yes—
387#13133174C2318yes—
388#13133174C2318yes—
389#13133174C2314yes—
390#13133174C2312yes—
391#13133174C2312yes—
392#13133174C2312yes—
393#13133174C2312yes—
394#13133173C2318yes—
395#13133173C2318yes—
396#13133173C2314yes—
397#13133173C2318yes—
398C2×C4⋊Dic53C2314yes—
399C2×C4⋊Dic53C2311yescharacteristic
400C2×C4⋊Dic53C2312yes—
401C2×#11719919C2311yescharacteristic
402C2×#11719919C2312yes—
403C2×#11719919C2311yescharacteristic
404C2×#11719919C2312yes—
405C4⋊C4×D53C2318yes—
406C4⋊C4×D53C2314yes—
407C4⋊C4×D53C2318yes—
408C4⋊C4×D53C2314yes—
409C4⋊C4×D53C2312yes—
410C4⋊C4×D53C2312yes—
411C2×#11719921C2318yes—
412C2×#11719921C2311yescharacteristic
413C2×#11719921C2312yes—
414C2×#11719921C2311yescharacteristic
415C22⋊C4×D53C2318yes—
416C22⋊C4×D53C2318yes—
417C22⋊C4×D53C2318yes—
418C22⋊C4×D53C2314yes—
419C2×C4×Dic53C2312yes—
420C2×C4×Dic53C2311yescharacteristic
421C2×C4×Dic53C2312yes—
422C2×C4×Dic53C2312yes—
423C2×C4×Dic53C2312yes—
424C2×C4×Dic53C2318yes—
425C42×D53C2314yes—
426C42×D53C2318yes—
427C2×#41×C53C2312yes—
428C22×Q8×C53C2311yescharacteristic
429C4⋊Q8×C53C2311yescharacteristic
430C4⋊Q8×C53C2311yescharacteristic
431C4⋊Q8×C53C2311yescharacteristic
432C4⋊Q8×C53C2314yes—
433#127×C53C2311yescharacteristic
434#126×C53C2318yes—
435#126×C53C2318yes—
436#125×C53C2314yes—
437#125×C53C2318yes—
438#125×C53C2312yes—
439#124×C53C2314yes—
440#124×C53C2312yes—
441#124×C53C2314yes—
442#123×C53C2318yes—
443#123×C53C2318yes—
444C22⋊Q8×C53C2318yes—
445C22⋊Q8×C53C2314yes—
446C22⋊Q8×C53C2312yes—
447C22⋊Q8×C53C2312yes—
448C22⋊Q8×C53C2314yes—
449#121×C53C2312yes—
450#121×C53C2312yes—
451C4×Q8×C53C2312yes—
452C4×Q8×C53C2312yes—
453C4×Q8×C53C2312yes—
454C4×Q8×C53C2312yes—
455C4×Q8×C53C2314yes—
456C4×Q8×C53C2314yes—
457C4×Q8×C53C2312yes—
458C4×Q8×C53C2312yes—
459C4×D4×C53C2318yes—
460C4×D4×C53C2314yes—
461C4×D4×C53C2314yes—
462C4×D4×C53C2312yes—
463C4×D4×C53C2312yes—
464#117×C53C2318yes—
465#117×C53C2312yes—
466#117×C53C2314yes—
467C2×C4⋊C4×C53C2311yescharacteristic
468C2×C4⋊C4×C53C2312yes—
469C2×C4⋊C4×C53C2314yes—
470C2×C42×C53C2312yes—
471C2×C42×C53C2311yescharacteristic
472C23×D53C2414yes—
473C23×D53C2411yescharacteristic
474#41×C53—28no—
475C2×Q8×C53—24no—
476C2×Q8×C53C2412yes—
477C2×Q8×C53C2412yes—
478C2×Q8×C53C2412yes—
479C2×Q8×C53C2412yes—
480C2×Q8×C53C2412yes—
481C2×D4×C53C2414yes—
482C2×D4×C53C2412yes—
483C2×D4×C53C2412yes—
484C2×D4×C53C2412yes—
485C22×C4×C53C2412yes—
486C22×C4×C53C2414yes—
487C22×C4×C53C2411yescharacteristic
488C22×C4×C53C2412yes—
489C22×C4×C53C2411yescharacteristic
490C22×C4×C53C2418yes—
491C22×C4×C53C2411yescharacteristic
492C2×C22⋊D53C2414yes—
493C2×C22⋊D53C2414yes—
494C2×C22⋊D53C2414yes—
495C2×C22⋊D53C2414yes—
496C2×C22⋊D53C2414yes—
497C22×Dic53C2412yes—
498C22×Dic53C2414yes—
499C22×Dic53C2411yescharacteristic
500C22×Dic53C2412yes—
501C22×Dic53C2411yescharacteristic
502C22×Dic53C2418yes—
503C22×Dic53C2411yescharacteristic
504#11719949—28no—
505Q8×D53—216no—
506Q8×D53—216no—
507Q8×D53—28no—
508#11719947—216no—
509#11719947—28no—
510D4×D53—216no—
511D4×D53—28no—
512#11719945—28no—
513#11719945—216no—
514C2×D212C2414yes—
515C2×D212C2412yes—
516C2×D212C2412yes—
517C2×D212C2412yes—
518C2×C4×D53—28no—
519C2×C4×D53—216no—
520C2×C4×D53#4118yes—
521C2×C4×D53C2414yes—
522C2×C4×D53C2418yes—
523C2×C4×D53C2414yes—
524C2×C4×D53C2414yes—
525C2×C4×D53C2414yes—
526C2×C4×D53C2414yes—
527C2×C4×D53C2418yes—
528C2×C4×D53C2418yes—
529C2×C4×D53C2412yes—
530C2×C4×D53C2412yes—
531C2×Dic106—24no—
532C2×Dic106—28no—
533C2×Dic106C2418yes—
534C2×Dic106C2414yes—
535C2×Dic106C2412yes—
536C2×Dic106C2412yes—
537C2×Dic106C2412yes—
538C2×Dic106C2414yes—
539C2×Dic106C2412yes—
540C2×Dic106C2412yes—
541C2×Dic106C2414yes—
542C4⋊C4×C53C2412yes—
543C4⋊C4×C53C2412yes—
544C4⋊C4×C53C2412yes—
545C4⋊C4×C53C2418yes—
546C4⋊C4×C53C2414yes—
547C4⋊C4×C53C2414yes—
548C4⋊C4×C53C2412yes—
549C4⋊C4×C53C2414yes—
550C4⋊C4×C53C2418yes—
551C4⋊C4×C53C2412yes—
552C4⋊C4×C53C2412yes—
553C4⋊C4×C53C2412yes—
554C4⋊C4×C53C2414yes—
555C4⋊C4×C53C2418yes—
556C4⋊C4×C53C2412yes—
557C22⋊C4×C53C2414yes—
558C22⋊C4×C53C2414yes—
559C22⋊C4×C53C2418yes—
560C22⋊C4×C53C2418yes—
561C22⋊C4×C53C2414yes—
562C22⋊C4×C53C2418yes—
563C42×C53C2414yes—
564C42×C53C2411yescharacteristic
565C42×C53C2411yescharacteristic
566C42×C53C2414yes—
567C42×C53C2411yescharacteristic
568C42×C53C2411yescharacteristic
569C42×C53C2418yes—
570C42×C53C2414yes—
571C22⋊Dic53C2414yes—
572C22⋊Dic53C2418yes—
573C22⋊Dic53C2418yes—
574C22⋊Dic53C2418yes—
575C22⋊Dic53C2414yes—
576C22⋊Dic53C2414yes—
577#11719921C2414yes—
578#11719921C2418yes—
579#11719921C2414yes—
580#11719921C2418yes—
581#11719921C2418yes—
582#11719921C2418yes—
583#11719921C2418yes—
584#11719921C2412yes—
585#11719921C2412yes—
586#11719921C2412yes—
587#11719921C2412yes—
588#11719921C2418yes—
589#11719921C2418yes—
590#11719921C2414yes—
591#11719921C2414yes—
592#11719921C2414yes—
593#11719921C2414yes—
594C4⋊Dic53C2412yes—
595C4⋊Dic53C2412yes—
596C4⋊Dic53C2412yes—
597C4⋊Dic53C2418yes—
598C4⋊Dic53C2418yes—
599C4⋊Dic53C2412yes—
600C4⋊Dic53C2418yes—
601C4⋊Dic53C2418yes—
602C4⋊Dic53C2414yes—
603C4⋊Dic53C2414yes—
604C4⋊Dic53C2412yes—
605C4⋊Dic53C2412yes—
606C4⋊Dic53C2412yes—
607C4⋊Dic53C2412yes—
608#11719919C2418yes—
609#11719919C2414yes—
610#11719919C2414yes—
611#11719919C2418yes—
612#11719919C2418yes—
613#11719919C2418yes—
614#11719919C2418yes—
615#11719919C2418yes—
616#11719919C2412yes—
617#11719919C2412yes—
618#11719919C2418yes—
619#11719919C2412yes—
620#11719919C2412yes—
621#11719919C2414yes—
622#11719919C2414yes—
623#11719919C2414yes—
624#11719919C2414yes—
625#11719919C2414yes—
626#11719919C2414yes—
627#11719919C2414yes—
628#11719919C2414yes—
629#11719919C2414yes—
630#11719919C2414yes—
631C4×Dic53C2414yes—
632C4×Dic53C2418yes—
633C4×Dic53C2414yes—
634C4×Dic53C2418yes—
635C4×Dic53C2414yes—
636C4×Dic53C2414yes—
637C4×Dic53C2418yes—
638C4×Dic53C2418yes—
639C4×Dic53C2412yes—
640C4×Dic53C2412yes—
641C4×Dic53C2418yes—
642C4×Dic53C2418yes—
643C4×Dic53C2414yes—
644C23×C53C2514yes—
645C23×C53C2511yescharacteristic
646C22×D53—28no—
647C22×D53—41no—
648C22×D53—41no—
649C22×D53—44no—
650C22×D53—44no—
651C22×D53C2×#4114yes—
652C22×D53C2514yes—
653C22×D53C2512yes—
654Q8×C53—24no—
655Q8×C53—24no—
656Q8×C53—24no—
657Q8×C53—42no—
658Q8×C53—42no—
659D4×C53—28no—
660D4×C53—24no—
661D4×C53—42no—
662D4×C53—42no—
663C2×C4×C53—24no—
664C2×C4×C53—28no—
665C2×C4×C53—41no—
666C2×C4×C53—41no—
667C2×C4×C53—48no—
668C2×C4×C53—42no—
669C2×C4×C53C2×#4114yes—
670C2×C4×C53C2514yes—
671C2×C4×C53C2511yescharacteristic
672C2×C4×C53C2511yescharacteristic
673C2×C4×C53C2514yes—
674C2×C4×C53C2514yes—
675C2×C4×C53C2514yes—
676C2×C4×C53C2514yes—
677C2×C4×C53C2511yescharacteristic
678C2×C4×C53C2511yescharacteristic
679C2×C4×C53C2511yescharacteristic
680C2×C4×C53C2511yescharacteristic
681C22⋊D53—28no—
682C22⋊D53—28no—
683C22⋊D53—28no—
684C22⋊D53—44no—
685C22⋊D53—44no—
686C2×Dic53—24no—
687C2×Dic53—28no—
688C2×Dic53—48no—
689C2×Dic53—41no—
690C2×Dic53—41no—
691C2×Dic53—42no—
692C2×Dic53C2×#4114yes—
693C2×Dic53C2514yes—
694C2×Dic53C2514yes—
695C2×Dic53C2514yes—
696C2×Dic53C2514yes—
697C2×Dic53C2512yes—
698C2×Dic53C2512yes—
699C2×Dic53C2514yes—
700C2×Dic53C2512yes—
701D212—28no—
702D212—24no—
703D212—42no—
704D212—42no—
705C4×D53—28no—
706C4×D53—216no—
707C4×D53—28no—
708C4×D53—28no—
709C4×D53—44no—
710C4×D53—48no—
711C4×D53—44no—
712C4×D53—48no—
713C4×D53C2×#4118yes—
714C4×D53C2×#4118yes—
715Dic106—24no—
716Dic106—24no—
717Dic106—24no—
718Dic106—216no—
719Dic106—28no—
720Dic106—42no—
721Dic106—44no—
722Dic106—42no—
723Dic106—44no—
724#62860—531nomaximal, Sylow
725C22×C53—21no—
726C22×C53—21no—
727C22×C53—24no—
728C22×C53—24no—
729C22×C53—24no—
730C22×C53C22×#4112yes—
731C22×C53C2611yescharacteristic
732C2×D53—22no—
733C2×D53—22no—
734C2×D53—24no—
735C2×D53—24no—
736C2×D53—24no—
737C2×D53—44no—
738C2×D53—88no—
739C2×D53C22×#4114yes—
740C4×C53—24no—
741C4×C53—24no—
742C4×C53—21no—
743C4×C53—21no—
744C4×C53—24no—
745C4×C53—24no—
746C4×C53—24no—
747C4×C53—21no—
748C4×C53—21no—
749C4×C53C22×#4112yes—
750C4×C53C22×#4112yes—
751Dic53—24no—
752Dic53—24no—
753Dic53—24no—
754Dic53—24no—
755Dic53—22no—
756Dic53—22no—
757Dic53—24no—
758Dic53C22×#4114yes—
759#3510—534no—
760#3510—534no—
761#3509—534no—
762#3509—534no—
763#3507—532no—
764#3507—531no—
765#3507—531no—
766#3507—532no—
767#3507—531no—
768#3507D5311yescharacteristic, complemented
769#3495—534no—
770#3495—534no—
771#3495—534no—
772#3495—534no—
773#3491—534no—
774#3491—534no—
775#3461—534no—
776#3461—534no—
777#3458—531no—
778#3449—531no—
779C2×#536—532no—
780#3428—532no—
781C2×#519—531no—
782C2×C53—22no—
783C2×C53—44no—
784C2×C53C23×#4111yescharacteristic
785C2×C532−1+611yescharacteristic
786C2×C532−1+611yescharacteristic
787D53—24no—
788D53—44no—
789C22×#41—532no—
790C23×Q8—531no—
791#559—532no—
792#559—534no—
793#559—532no—
794#559—532no—
795#559—534no—
796#559C2×D5312yescomplemented
797#557—534no—
798#557—532no—
799#557—534no—
800#557—532no—
801#557—532no—
802#557C2×D5312yescomplemented
803#556—532no—
804#556—534no—
805#556—534no—
806#556—534no—
807#556—534no—
808#556—534no—
809#556—534no—
810#556—532no—
811#556—534no—
812#556—532no—
813#556—534no—
814#556—534no—
815#556C2×D5312yescomplemented
816#556C2×D5314yescomplemented
817#554—532no—
818#554—534no—
819#554—532no—
820#554—532no—
821#554—534no—
822#554C2×D5312yescomplemented
823#552—538no—
824#552—538no—
825#552—538no—
826#552—538no—
827#552—538no—
828#552—534no—
829#552—538no—
830#552—534no—
831#552—534no—
832#552—538no—
833#552—534no—
834#552—534no—
835#552—538no—
836#552—534no—
837#552—534no—
838#552C2×D5314yescomplemented
839#551—538no—
840#551—538no—
841#551—538no—
842#551—538no—
843#551—538no—
844#551—538no—
845#551—538no—
846#551—538no—
847#544—532no—
848#544—532no—
849#544—532no—
850#544—532no—
851#544—532no—
852#544—532no—
853#543—532no—
854#543—532no—
855#542—538no—
856#542—538no—
857#542—538no—
858#542—538no—
859#541—538no—
860#541—538no—
861#541—538no—
862#541—538no—
863#539—538no—
864#539—534no—
865#539—534no—
866#539—538no—
867#539—534no—
868#539C2×D5314yescomplemented
869#537—532no—
870#537—532no—
871#536—532no—
872#536—532no—
873#536—534no—
874#536—532no—
875#536—534no—
876#536—532no—
877#536—538no—
878#536—534no—
879#536—534no—
880#536—532no—
881#536C2×D5312yescomplemented
882#535—532no—
883#535—532no—
884#534—532no—
885#534—532no—
886#533—538no—
887#533—538no—
888#533—534no—
889#533—534no—
890#533—538no—
891#533—532no—
892#533—538no—
893#533—531no—
894#533C2×D5311yescharacteristic, complemented
895#532—532no—
896#532—531no—
897#532C2×D5311yescharacteristic
898C2×C4⋊Q8—534no—
899#529—538no—
900#529—538no—
901#529—538no—
902#529—534no—
903#529—534no—
904#529—538no—
905#529—538no—
906#529—538no—
907#529—534no—
908#529C2×D5314yescomplemented
909C2×#124—534no—
910#525—534no—
911#525—534no—
912C2×#123—538no—
913C2×C22⋊Q8—534no—
914C2×C22⋊Q8—534no—
915#520—532no—
916#520—534no—
917#520—532no—
918#520—534no—
919#520—532no—
920#520C2×D5312yescomplemented
921#519—534no—
922#519—534no—
923#519—534no—
924#519—534no—
925#519—534no—
926#518—538no—
927#518—534no—
928C4×#41—534no—
929C4×#41—534no—
930C4×#41—538no—
931C2×C4×Q8—531no—
932C2×C4×Q8—532no—
933C2×C4×Q8—531no—
934C2×C4×Q8—532no—
935C2×C4×Q8—531no—
936C2×C4×Q8C2×D5311yescharacteristic, complemented
937C2×#117—532no—
938C2×#117—534no—
939C2×#117—531no—
940C2×#117—532no—
941C2×#117—534no—
942C2×#117—531no—
943C2×#117—532no—
944C53#6286011yescharacteristic, complemented, Sylow
945C2×#41—532no—
946C2×#41—532no—
947C2×#41—534no—
948C2×#41—534no—
949C2×#41—532no—
950C2×#41—10616no—
951C2×#41C22×D5312yes—
952C22×Q8—534no—
953C22×Q8—534no—
954C22×Q8—532no—
955C22×Q8—532no—
956C22×Q8—531no—
957C22×Q8—1068no—
958C22×Q8C22×D5311yescharacteristic
959C22×D4—534no—
960C22×D4—532no—
961C23×C4—531no—
962C23×C4—534no—
963C23×C4—532no—
964C4⋊Q8—534no—
965C4⋊Q8—534no—
966C4⋊Q8—532no—
967C4⋊Q8—534no—
968C4⋊Q8—534no—
969C4⋊Q8—538no—
970C4⋊Q8—538no—
971C4⋊Q8—534no—
972C4⋊Q8—534no—
973C4⋊Q8—532no—
974C4⋊Q8—532no—
975C4⋊Q8—534no—
976C4⋊Q8—531no—
977C4⋊Q8—531no—
978C4⋊Q8—531no—
979C4⋊Q8C22×D5314yes—
980C4⋊Q8C22×D5311yescharacteristic
981C4⋊Q8C22×D5311yescharacteristic
982C4⋊Q8C22×D5311yescharacteristic
983#127—532no—
984#127—531no—
985#127C22×D5311yescharacteristic
986#126—538no—
987#126—538no—
988#126—538no—
989#126—538no—
990#126—538no—
991#126—538no—
992#126—538no—
993#126—538no—
994#126—538no—
995#126—538no—
996#126—538no—
997#126—538no—
998#126—538no—
999#126—538no—
1000#126C22×D5318yes—
1001#126C22×D5318yes—
1002#125—534no—
1003#125—534no—
1004#125—534no—
1005#125—534no—
1006#125—538no—
1007#125—538no—
1008#125—534no—
1009#125—534no—
1010#125—538no—
1011#125—538no—
1012#125—538no—
1013#125—538no—
1014#125—538no—
1015#125—538no—
1016#125—532no—
1017#125—532no—
1018#125—534no—
1019#125—538no—
1020#125—532no—
1021#125C22×D5314yes—
1022#125C22×D5318yes—
1023#125C22×D5312yes—
1024#124—534no—
1025#124—534no—
1026#124—532no—
1027#124—534no—
1028#124—534no—
1029#124—532no—
1030#124—538no—
1031#124—538no—
1032#124—538no—
1033#124—538no—
1034#124—534no—
1035#124—534no—
1036#124—532no—
1037#124C22×D5314yes—
1038#124C22×D5314yes—
1039#124C22×D5312yes—
1040#123—538no—
1041#123—538no—
1042#123—538no—
1043#123—538no—
1044#123—538no—
1045#123—538no—
1046#123—534no—
1047#123—534no—
1048#123—538no—
1049#123—538no—
1050#123—538no—
1051#123—538no—
1052#123—538no—
1053#123—534no—
1054#123—534no—
1055#123—538no—
1056#123—538no—
1057#123—538no—
1058#123C22×D5318yes—
1059#123C22×D5318yes—
1060C22⋊Q8—534no—
1061C22⋊Q8—534no—
1062C22⋊Q8—538no—
1063C22⋊Q8—534no—
1064C22⋊Q8—534no—
1065C22⋊Q8—534no—
1066C22⋊Q8—534no—
1067C22⋊Q8—532no—
1068C22⋊Q8—532no—
1069C22⋊Q8—538no—
1070C22⋊Q8—538no—
1071C22⋊Q8—538no—
1072C22⋊Q8—534no—
1073C22⋊Q8—534no—
1074C22⋊Q8—534no—
1075C22⋊Q8—534no—
1076C22⋊Q8—538no—
1077C22⋊Q8—538no—
1078C22⋊Q8—538no—
1079C22⋊Q8—534no—
1080C22⋊Q8—534no—
1081C22⋊Q8—534no—
1082C22⋊Q8—534no—
1083C22⋊Q8—534no—
1084C22⋊Q8—534no—
1085C22⋊Q8—538no—
1086C22⋊Q8—538no—
1087C22⋊Q8—534no—
1088C22⋊Q8—534no—
1089C22⋊Q8—534no—
1090C22⋊Q8—534no—
1091C22⋊Q8—538no—
1092C22⋊Q8—538no—
1093C22⋊Q8C22×D5314yes—
1094C22⋊Q8C22×D5314yes—
1095C22⋊Q8C22×D5312yes—
1096C22⋊Q8C22×D5312yes—
1097C22⋊Q8C22×D5318yes—
1098#121—534no—
1099#121—534no—
1100#121—534no—
1101#121—534no—
1102#121—532no—
1103#121—532no—
1104#121—534no—
1105#121—534no—
1106#121C22×D5312yes—
1107#121C22×D5312yes—
1108#120—534no—
1109#120—534no—
1110#120—534no—
1111#120—534no—
1112C4×Q8—534no—
1113C4×Q8—534no—
1114C4×Q8—534no—
1115C4×Q8—534no—
1116C4×Q8—538no—
1117C4×Q8—538no—
1118C4×Q8—534no—
1119C4×Q8—534no—
1120C4×Q8—538no—
1121C4×Q8—534no—
1122C4×Q8—534no—
1123C4×Q8—538no—
1124C4×Q8—538no—
1125C4×Q8—538no—
1126C4×Q8—532no—
1127C4×Q8—532no—
1128C4×Q8—532no—
1129C4×Q8—532no—
1130C4×Q8—538no—
1131C4×Q8—534no—
1132C4×Q8—534no—
1133C4×Q8—538no—
1134C4×Q8—532no—
1135C4×Q8—532no—
1136C4×Q8—534no—
1137C4×Q8—534no—
1138C4×Q8C22×D5312yes—
1139C4×Q8C22×D5312yes—
1140C4×Q8C22×D5312yes—
1141C4×Q8C22×D5312yes—
1142C4×Q8C22×D5314yes—
1143C4×Q8C22×D5314yes—
1144C4×Q8C22×D5312yes—
1145C4×Q8C22×D5312yes—
1146C4×D4—538no—
1147C4×D4—534no—
1148C4×D4—534no—
1149C4×D4—538no—
1150C4×D4—538no—
1151C4×D4—538no—
1152C4×D4—534no—
1153C4×D4—534no—
1154C4×D4—538no—
1155C4×D4—538no—
1156C4×D4—534no—
1157C4×D4—534no—
1158C4×D4—538no—
1159C4×D4—538no—
1160C4×D4—538no—
1161C4×D4—538no—
1162C4×D4—538no—
1163C4×D4—534no—
1164C4×D4—532no—
1165C4×D4—532no—
1166C4×D4—534no—
1167C4×D4C22×D5318yes—
1168C4×D4C22×D5314yes—
1169C4×D4C22×D5312yes—
1170C4×D4C22×D5312yes—
1171C4×D4C22×D5314yes—
1172#117—532no—
1173#117—534no—
1174#117—538no—
1175#117—534no—
1176#117—532no—
1177#117—532no—
1178#117—534no—
1179#117—538no—
1180#117—538no—
1181#117—538no—
1182#117—538no—
1183#117—534no—
1184#117—534no—
1185#117—538no—
1186#117—538no—
1187#117—534no—
1188#117—538no—
1189#117—538no—
1190#117—538no—
1191#117—534no—
1192#117—538no—
1193#117—532no—
1194#117—532no—
1195#117—532no—
1196#117—532no—
1197#117—538no—
1198#117—538no—
1199#117—538no—
1200#117—538no—
1201#117C22×D5312yes—
1202#117C22×D5314yes—
1203#117C22×D5318yes—
1204C2×C4⋊C4—531no—
1205C2×C4⋊C4—531no—
1206C2×C4⋊C4—531no—
1207C2×C4⋊C4—532no—
1208C2×C4⋊C4—532no—
1209C2×C4⋊C4—532no—
1210C2×C4⋊C4—534no—
1211C2×C4⋊C4—532no—
1212C2×C4⋊C4—532no—
1213C2×C4⋊C4—534no—
1214C2×C4⋊C4—534no—
1215C2×C4⋊C4—538no—
1216C2×C4⋊C4—538no—
1217C2×C4⋊C4C22×D5311yescharacteristic
1218C2×C4⋊C4C22×D5312yes—
1219C2×C4⋊C4C22×D5314yes—
1220C2×C22⋊C4—532no—
1221C2×C22⋊C4—531no—
1222C2×C22⋊C4—531no—
1223C2×C22⋊C4—538no—
1224C2×C22⋊C4—534no—
1225C2×C22⋊C4—538no—
1226C2×C22⋊C4—538no—
1227C2×C22⋊C4—538no—
1228C2×C42—532no—
1229C2×C42—532no—
1230C2×C42—532no—
1231C2×C42—532no—
1232C2×C42—531no—
1233C2×C42—538no—
1234C2×C42—534no—
1235C2×C42—538no—
1236C2×C42C22×D5312yes—
1237C2×C42C22×D5311yescharacteristic
1238C24—531no—
1239C24—534no—
1240#41—28no—
1241#41—10616no—
1242#41—10616no—
1243#41—1068no—
1244#41—1068no—
1245#41—1068no—
1246C2×Q8—24no—
1247C2×Q8—532no—
1248C2×Q8—538no—
1249C2×Q8—534no—
1250C2×Q8—532no—
1251C2×Q8—532no—
1252C2×Q8—534no—
1253C2×Q8—534no—
1254C2×Q8—532no—
1255C2×Q8—532no—
1256C2×Q8—1068no—
1257C2×Q8—10616no—
1258C2×Q8—10616no—
1259C2×Q8—1068no—
1260C2×Q8—1064no—
1261C2×Q8C23×D5312yes—
1262C2×Q8C23×D5312yes—
1263C2×Q8C23×D5312yes—
1264C2×Q8C23×D5312yes—
1265C2×Q8C23×D5312yes—
1266C2×D4—534no—
1267C2×D4—534no—
1268C2×D4—534no—
1269C2×D4—534no—
1270C2×D4—534no—
1271C2×D4—534no—
1272C2×D4—532no—
1273C2×D4—532no—
1274C2×D4—532no—
1275C2×D4—1068no—
1276C2×D4—10616no—
1277C2×D4C23×D5314yes—
1278C2×D4C23×D5312yes—
1279C2×D4C23×D5312yes—
1280C2×D4C23×D5312yes—
1281C22×C4—531no—
1282C22×C4—538no—
1283C22×C4—532no—
1284C22×C4—532no—
1285C22×C4—532no—
1286C22×C4—534no—
1287C22×C4—532no—
1288C22×C4—531no—
1289C22×C4—531no—
1290C22×C4—538no—
1291C22×C4—534no—
1292C22×C4—538no—
1293C22×C4—534no—
1294C22×C4—534no—
1295C22×C4—534no—
1296C22×C4—534no—
1297C22×C4—538no—
1298C22×C4—538no—
1299C22×C4—10616no—
1300C22×C4—1068no—
1301C22×C4C23×D5312yes—
1302C22×C4C23×D5314yes—
1303C22×C4C23×D5312yes—
1304C22×C4C23×D5311yescharacteristic
1305C22×C4C23×D5318yes—
1306C22×C4C23×D5311yescharacteristic
1307C22×C4C23×D5311yescharacteristic
1308C4⋊C4—532no—
1309C4⋊C4—532no—
1310C4⋊C4—532no—
1311C4⋊C4—532no—
1312C4⋊C4—534no—
1313C4⋊C4—534no—
1314C4⋊C4—538no—
1315C4⋊C4—538no—
1316C4⋊C4—538no—
1317C4⋊C4—532no—
1318C4⋊C4—532no—
1319C4⋊C4—532no—
1320C4⋊C4—532no—
1321C4⋊C4—534no—
1322C4⋊C4—534no—
1323C4⋊C4—538no—
1324C4⋊C4—538no—
1325C4⋊C4—538no—
1326C4⋊C4—538no—
1327C4⋊C4—538no—
1328C4⋊C4—538no—
1329C4⋊C4—538no—
1330C4⋊C4—538no—
1331C4⋊C4—534no—
1332C4⋊C4—534no—
1333C4⋊C4—534no—
1334C4⋊C4—534no—
1335C4⋊C4—534no—
1336C4⋊C4—534no—
1337C4⋊C4—534no—
1338C4⋊C4—534no—
1339C4⋊C4—532no—
1340C4⋊C4—532no—
1341C4⋊C4—534no—
1342C4⋊C4—534no—
1343C4⋊C4—532no—
1344C4⋊C4—532no—
1345C4⋊C4C23×D5312yes—
1346C4⋊C4C23×D5312yes—
1347C4⋊C4C23×D5312yes—
1348C4⋊C4C23×D5318yes—
1349C4⋊C4C23×D5318yes—
1350C4⋊C4C23×D5312yes—
1351C4⋊C4C23×D5318yes—
1352C4⋊C4C23×D5314yes—
1353C4⋊C4C23×D5314yes—
1354C4⋊C4C23×D5314yes—
1355C4⋊C4C23×D5314yes—
1356C4⋊C4C23×D5312yes—
1357C4⋊C4C23×D5312yes—
1358C4⋊C4C23×D5312yes—
1359C4⋊C4C23×D5312yes—
1360C22⋊C4—534no—
1361C22⋊C4—538no—
1362C22⋊C4—538no—
1363C22⋊C4—538no—
1364C22⋊C4—534no—
1365C22⋊C4—534no—
1366C22⋊C4—538no—
1367C22⋊C4—534no—
1368C22⋊C4—534no—
1369C22⋊C4—532no—
1370C22⋊C4—532no—
1371C22⋊C4—532no—
1372C22⋊C4—532no—
1373C22⋊C4—538no—
1374C22⋊C4—538no—
1375C22⋊C4—538no—
1376C22⋊C4—538no—
1377C22⋊C4—538no—
1378C22⋊C4—538no—
1379C22⋊C4—534no—
1380C22⋊C4—534no—
1381C22⋊C4—534no—
1382C22⋊C4—534no—
1383C22⋊C4C23×D5314yes—
1384C22⋊C4C23×D5318yes—
1385C22⋊C4C23×D5318yes—
1386C22⋊C4C23×D5318yes—
1387C22⋊C4C23×D5314yes—
1388C22⋊C4C23×D5314yes—
1389C42—538no—
1390C42—534no—
1391C42—534no—
1392C42—538no—
1393C42—538no—
1394C42—538no—
1395C42—538no—
1396C42—534no—
1397C42—534no—
1398C42—538no—
1399C42—532no—
1400C42—534no—
1401C42—532no—
1402C42C23×D5318yes—
1403C42C23×D5314yes—
1404C42C23×D5314yes—
1405C42C23×D5314yes—
1406C42C23×D5311yescharacteristic
1407C42C23×D5311yescharacteristic
1408C42C23×D5311yescharacteristic
1409C42C23×D5311yescharacteristic
1410C23—532no—
1411C23—534no—
1412C23—534no—
1413C23—1068no—
1414C23—2124no—
1415C23—2124no—
1416C23—2121no—
1417C23—2121no—
1418C23C24×D5314yes—
1419C23C24×D5311yescharacteristic
1420Q8—24no—
1421Q8—24no—
1422Q8—24no—
1423Q8—42no—
1424Q8—42no—
1425Q8—10616no—
1426Q8—1068no—
1427Q8—1064no—
1428Q8—1064no—
1429Q8—1064no—
1430Q8—2122no—
1431Q8—2124no—
1432Q8—2124no—
1433Q8—2122no—
1434D4—28no—
1435D4—24no—
1436D4—42no—
1437D4—42no—
1438D4—1068no—
1439D4—1068no—
1440D4—1068no—
1441D4—1068no—
1442D4—1064no—
1443D4—2122no—
1444D4—2122no—
1445D4—2124no—
1446D4—2124no—
1447C2×C4—24no—
1448C2×C4—28no—
1449C2×C4—41no—
1450C2×C4—42no—
1451C2×C4—48no—
1452C2×C4—41no—
1453C2×C4—534no—
1454C2×C4—532no—
1455C2×C4—538no—
1456C2×C4—538no—
1457C2×C4—534no—
1458C2×C4—532no—
1459C2×C4—532no—
1460C2×C4—534no—
1461C2×C4—534no—
1462C2×C4—534no—
1463C2×C4—534no—
1464C2×C4—1068no—
1465C2×C4—1068no—
1466C2×C4—10616no—
1467C2×C4—1068no—
1468C2×C4—1064no—
1469C2×C4—1068no—
1470C2×C4—2128no—
1471C2×C4—2124no—
1472C2×C4—2128no—
1473C2×C4—2124no—
1474C2×C4—2122no—
1475C2×C4—2128no—
1476C2×C4—2121no—
1477C2×C4—2121no—
1478C2×C4#41×D5314yes—
1479C2×C4C24×D5314yes—
1480C2×C4C24×D5311yescharacteristic
1481C2×C4C24×D5311yescharacteristic
1482C2×C4C24×D5314yes—
1483C2×C4C24×D5314yes—
1484C2×C4C24×D5314yes—
1485C2×C4C24×D5314yes—
1486C2×C4C24×D5311yescharacteristic
1487C2×C4C24×D5311yescharacteristic
1488C2×C4C24×D5311yescharacteristic
1489C2×C4C24×D5311yescharacteristic
1490C22—21no—
1491C22—21no—
1492C22—24no—
1493C22—24no—
1494C22—24no—
1495C22—534no—
1496C22—1062no—
1497C22—1062no—
1498C22—1064no—
1499C22—1064no—
1500C22—1064no—
1501C22—4248no—
1502C22—2124no—
1503C22C2×#41×D5312yes—
1504C22C25×D5311yescharacteristic
1505C4—24no—
1506C4—24no—
1507C4—21no—
1508C4—21no—
1509C4—24no—
1510C4—24no—
1511C4—24no—
1512C4—21no—
1513C4—21no—
1514C4—534no—
1515C4—1064no—
1516C4—1064no—
1517C4—1064no—
1518C4—1064no—
1519C4—1062no—
1520C4—1064no—
1521C4—1062no—
1522C4C2×#41×D5312yes—
1523C4C2×#41×D5312yes—
1524C2—22no—
1525C2—44no—
1526C2—1064no—
1527C2—2124no—
1528C2C22×#41×D5311yescharacteristic
1529C2#2028952711yescharacteristic
1530C2#2028952811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3507C2
prime radical#20288042C2
hypercenter#3507D53
hypocenterC53#62860
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #20288608C2semidirect
2. #20288605C2semidirect
3. #20288598C2semidirect
4. #20288595C2semidirect
5. #20288582C2semidirect
6. #20288580C2semidirect
7. #20288579C2semidirect
8. #20288577C2semidirect
9. #20288573C2semidirect
10. #20288466C2semidirect
11. #20288463C2semidirect
12. #20288460C2semidirect
13. #20288456C2semidirect
14. #20288409C2semidirect
15. #20288407C2semidirect
16. #20288145C2semidirect
17. #20288144C2semidirect
18. #20288118C2semidirect
20. #536×D53C2semidirect
21. #20287915C2semidirect
22. C2×#16811099C2semidirect
23. C53×#3507C2semidirect
26. #16811359C22semidirect
27. #16811358C22semidirect
28. #16811358C22semidirect
29. #16811356C22semidirect
30. #16811355C22semidirect
31. #16811352C22semidirect
32. #16811351C22semidirect
33. #16811351C22semidirect
34. #16811348C22semidirect
35. #16811348C22semidirect
36. #16811347C22semidirect
37. #16811347C22semidirect
38. #16811346C22semidirect
39. #16811346C22semidirect
40. #16811345C22semidirect
41. #16811345C22semidirect
42. #16811344C22semidirect
43. #16811343C22semidirect
44. #16811343C22semidirect
45. #16811342C22semidirect
46. #16811342C22semidirect
47. #16811341C22semidirect
48. #16811334C22semidirect
49. #16811333C22semidirect
50. #16811331C22semidirect
51. #16811330C22semidirect
52. #16811328C22semidirect
53. #16811315C22semidirect
54. #16811314C22semidirect
55. #16811314C22semidirect
56. #16811313C22semidirect
57. #16811312C22semidirect
58. #16811312C22semidirect
59. #16811311C22semidirect
60. #16811311C22semidirect
61. #16811309C22semidirect
62. #16811309C22semidirect
63. #16811308C22semidirect
64. #16811307C22semidirect
65. #16811307C22semidirect
66. #16811305C22semidirect
67. #16811305C22semidirect
68. #16811303C22semidirect
69. #16811302C22semidirect
70. #16811301C22semidirect
71. #16811300C22semidirect
72. #16811298C22semidirect
73. #16811298C22semidirect
74. #16811297C22semidirect
75. #16811296C22semidirect
76. #16811253C22semidirect
77. #16811253C22semidirect
78. #16811252C22semidirect
79. #16811252C22semidirect
80. #16811250C22semidirect
81. #16811250C22semidirect
84. #16811243C22semidirect
85. #16811241C22semidirect
86. #16811239C22semidirect
87. #16811237C22semidirect
88. #16811232C22semidirect
89. #16811232C22semidirect
90. #16811230C22semidirect
91. #16811230C22semidirect
92. #16811222C22semidirect
93. #16811220C22semidirect
94. #16811218C22semidirect
95. #16811217C22semidirect
96. #16811215C22semidirect
99. #16811199C22semidirect
102. #16811197C22semidirect
105. #16811195C22semidirect
106. #16811194C22semidirect
113. #16811180C22semidirect
114. #16811179C22semidirect
115. #16811177C22semidirect
116. #16811177C22semidirect
117. #16811177C22semidirect
118. #16811176C22semidirect
119. #16811176C22semidirect
120. #16811175C22semidirect
123. C4⋊Q8×D53C22semidirect
124. #16811159C22semidirect
125. #16811157C22semidirect
126. #16811156C22semidirect
127. #16811154C22semidirect
128. #16811153C22semidirect
129. #16811153C22semidirect
130. #16811151C22semidirect
131. #16811150C22semidirect
132. #16811150C22semidirect
133. #124×D53C22semidirect
137. C22⋊Q8×D53C22semidirect
138. C22⋊Q8×D53C22semidirect
139. #16811106C22semidirect
141. #16811104C22semidirect
143. #16811103C22semidirect
144. #16811099C22semidirect
145. #16811099C22semidirect
146. #16811099C22semidirect
147. #16811099C22semidirect
148. #16811099C22semidirect
150. #16811095C22semidirect
153. C4×#11719947C22semidirect
154. C2×Q8×Dic53C22semidirect
155. C2×C4×Dic106C22semidirect
156. C2×C4×Dic106C22semidirect
157. C2×#13133182C22semidirect
158. C2×#13133182C22semidirect
161. C2×#13133175C22semidirect
165. #117×D53C22semidirect
166. C53×#559C22semidirect
167. C53×#557C22semidirect
168. C53×#556C22semidirect
169. C53×#556C22semidirect
170. C53×#554C22semidirect
171. C53×#552C22semidirect
172. C53×#539C22semidirect
173. C53×#536C22semidirect
174. C53×#533C22semidirect
176. C53×#529C22semidirect
177. C53×#520C22semidirect
178. C2×C4×Q8×C53C22semidirect
768. #3507D53semidirect
796. #559C2×D53semidirect
802. #557C2×D53semidirect
815. #556C2×D53semidirect
816. #556C2×D53semidirect
822. #554C2×D53semidirect
838. #552C2×D53semidirect
868. #539C2×D53semidirect
881. #536C2×D53semidirect
894. #533C2×D53semidirect
908. #529C2×D53semidirect
920. #520C2×D53semidirect
936. C2×C4×Q8C2×D53semidirect
944. C53#62860semidirect

Maximal subgroups

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

subgroupindex
#202886082
#202886052
#202885982
#202885952
#202885822
#202885802
#202885792
#202885772
#202885732
#202884662
#202884632
#202884602
#202884562
#202884092
#202884072
#202881452
#202881442
#202881182
#202880422
#536×D532
#202879152
C2×#168110992
C53×#35072
#6286053