Finite Group Databasebeta

← #28292320

Subgroups — #28292320

Order 13568.

7094 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288809C212yesmaximal, complemented
2#20288803C212yesmaximal, complemented
3#20288798C212yesmaximal, complemented
4#20288792C212yesmaximal, complemented
5#20288704C214yesmaximal, complemented
6#20288698C214yesmaximal, complemented
7#20288582C211yesmaximal, characteristic, complemented
8#20288577C211yesmaximal, characteristic, complemented
9#20288571C214yesmaximal, complemented
10#20288520C211yesmaximal, characteristic, complemented
11#20288481C211yesmaximal, characteristic, complemented
12#20288421C212yesmaximal, complemented
13#20288416C214yesmaximal, complemented
14#20288362C212yesmaximal, complemented
15#20288330C214yesmaximal, complemented
16#20288328C214yesmaximal, complemented
17#20288312C212yesmaximal, complemented
18#20288308C212yesmaximal, complemented
19#41×Dic106C212yesmaximal, complemented
20#20288293C212yesmaximal, complemented
21#20288144C214yesmaximal, complemented
22#20288142C212yesmaximal, complemented
23#20288011C211yesmaximal, characteristic, complemented
24#20288007C214yesmaximal, complemented
25C4×#13133264C212yesmaximal, complemented
26C22×C4×Dic106C211yesmaximal, characteristic, complemented
27C53×#3444C211yesmaximal, characteristic, complemented
28C2×#13133264C2212yes—
29C23×Dic106C2211yescharacteristic
30#16811359C2212yescomplemented
31#16811358C2212yescomplemented
32#16811356C2214yescomplemented
33#16811355C2214yescomplemented
34Q8×Dic106C2212yescomplemented
35#16811353C2212yescomplemented
36#16811352C2212yescomplemented
37#16811351C2212yescomplemented
38#16811351C2214yescomplemented
39#16811350C2214yescomplemented
40#16811350C2214yescomplemented
41#16811349C2214yescomplemented
42#16811348C2212yescomplemented
43#16811348C2212yescomplemented
44#16811347C2212yescomplemented
45#16811346C2214yescomplemented
46#16811345C2214yescomplemented
47#16811343C2212yescomplemented
48#16811342C2214yescomplemented
49#16811342C2214yescomplemented
50#16811341C2218yescomplemented
51#16811340C2218yescomplemented
52#16811334C2212yescomplemented
53#16811332C2218yes—
54#16811332C2214yescomplemented
55#16811331C2214yes—
56#16811330C2214yes—
57#16811330C2212yescomplemented
58#16811329C2214yescomplemented
59#16811327C2218yes—
60#16811325C2214yes—
61#16811322C2218yes—
62#16811319C2214yes—
63#16811316C2218yes—
64#16811315C2214yes—
65#16811313C2214yes—
66#16811313C2214yescomplemented
67#16811311C2214yescomplemented
68#16811310C2218yes—
69#16811309C2218yescomplemented
70#16811306C2218yes—
71#16811306C2218yescomplemented
72#16811294C2212yescomplemented
73#16811293C2212yescomplemented
74D4×Dic106C2214yes—
75D4×Dic106C2214yes—
76D4×Dic106C2212yescomplemented
77#16811288C2212yescomplemented
78#16811286C2214yes—
79#16811286C2214yes—
80#16811282C2214yes—
81#16811282C2214yes—
82#16811282C2214yescomplemented
83#16811281C2214yescomplemented
84#16811279C2214yes—
85#16811279C2214yes—
86#16811277C2214yes—
87#16811273C2214yes—
88#16811272C2218yes—
89#16811271C2218yes—
90#16811252C2214yes—
91#16811251C2212yes—
92#16811244C2214yescomplemented
93#16811239C2218yescomplemented
94#16811238C2214yescomplemented
95#16811237C2218yescomplemented
96#16811235C2214yescomplemented
97#16811232C2218yescomplemented
98#16811231C2214yescomplemented
99#16811230C2218yescomplemented
100#16811222C2214yes—
101#16811218C2214yes—
102#16811217C2218yes—
103#16811215C2218yes—
104#16811201C2212yes—
105#16811200C2214yes—
106#16811199C2212yes—
107#16811195C2218yes—
108#16811194C2212yes—
109#16811180C2211yescharacteristic
110#16811180C2211yescharacteristic
111#16811180C2211yescharacteristic
112#16811180C2214yescomplemented
113#16811177C2214yescomplemented
114#16811177C2218yescomplemented
115#16811176C2214yes—
116#16811176C2218yescomplemented
117#16811175C2214yes—
118#16811175C2214yes—
119#16811173C2211yescharacteristic
120#16811173C2211yescharacteristic
121#16811173C2211yescharacteristic
122#16811169C2214yes—
123#16811168C2214yes—
124#16811168C2214yes—
125#16811159C2214yes—
126#16811159C2214yes—
127#16811157C2212yes—
128#16811157C2212yes—
129#16811157C2212yes—
130#16811157C2212yes—
131#16811157C2212yes—
132#16811157C2212yes—
133#16811157C2214yescomplemented
134#16811155C2214yescomplemented
135#16811154C2214yes—
136#16811154C2214yes—
137#16811153C2218yes—
138#16811153C2218yes—
139#16811153C2218yescomplemented
140#16811151C2218yescomplemented
141#16811150C2218yes—
142#16811150C2218yes—
143#16811134C2212yes—
144#16811134C2212yes—
145#16811134C2212yes—
146#16811129C2218yes—
147#16811129C2218yes—
148#16811106C2212yes—
149#16811103C2212yes—
150#16811103C2214yescomplemented
151#16811102C2218yes—
152#16811102C2214yescomplemented
153#16811100C2212yes—
154#16811100C2214yescomplemented
155#16811099C2214yescomplemented
156#41×Dic53C2214yes—
157C4×#11719945C2212yes—
158C4×#11719945C2212yes—
159C4×#11719945C2212yes—
160C4×#11719945C2214yescomplemented
161#16811091C2214yes—
162C4×#11719947C2218yes—
163C4×#11719947C2218yes—
164C4×#11719947C2214yescomplemented
165C2×C4×Dic106C2211yescharacteristic
166C2×C4×Dic106C2212yes—
167C2×C4×Dic106C2212yes—
168C2×C4×Dic106C2212yes—
169C2×C4×Dic106C2212yes—
170C2×C4×Dic106C2212yes—
171C2×C4×Dic106C2211yescharacteristic
172C2×C4×Dic106C2212yes—
173C2×C4×Dic106C2212yes—
174C2×C4×Dic106C2211yescharacteristic
175C2×C4×Dic106C2212yes—
176C2×C4×Dic106C2211yescharacteristic
177C2×C4×Dic106C2212yes—
178C2×C4×Dic106C2212yes—
179C2×C4×Dic106C2214yescomplemented
180C4×Q8×D53C2214yescomplemented
181C22×C4⋊Dic53C2211yescharacteristic
182C22×#11719919C2212yes—
183C22×C4×Dic53C2212yes—
184C53×#533C2211yescharacteristic
185C53×#533C2211yescharacteristic
186C53×#533C2211yescharacteristic
187C53×#532C2211yescharacteristic
188C53×#532C2211yescharacteristic
189C53×#532C2211yescharacteristic
190C53×#529C2212yes—
191C53×#529C2212yes—
192C53×#529C2212yes—
193C53×#529C2212yes—
194C53×#529C2212yes—
195C53×#529C2212yes—
196C53×#525C2212yes—
197C53×#525C2212yes—
198C53×#525C2212yes—
199C4×#41×C53C2212yes—
200C4×#41×C53C2212yes—
201C4×#41×C53C2212yes—
202C22×C42×C53C2211yescharacteristic
203#13133264—216no—
204C2×#11719945C2314yes—
205C2×#11719945C2312yes—
206C2×#11719945C2312yes—
207C2×#11719945C2312yes—
208C2×#11719947C2314yes—
209C2×#11719947C2318yes—
210C2×#11719947C2318yes—
211C22×Dic106—28no—
212C22×Dic106C2312yes—
213C22×Dic106C2312yes—
214C22×Dic106C2312yes—
215C22×Dic106C2312yes—
216C22×Dic106C2314yes—
217C22×Dic106C2311yescharacteristic
218C22×Dic106C2312yes—
219C22×Dic106C2311yescharacteristic
220C2×Q8×D53C2314yes—
221C23×Dic53C2312yes—
222C23×Dic53C2312yes—
223#13133217C2314yes—
224#13133217C2314yes—
225#13133217C2311yescharacteristic
226#13133217C2311yescharacteristic
227#13133217C2311yescharacteristic
228#13133216C2318yes—
229#13133216C2314yes—
230#13133216C2318yes—
231#13133216C2318yes—
232#13133216C2314yes—
233#13133216C2314yes—
234#13133215C2318yes—
235#13133215C2314yes—
236#13133215C2314yes—
237#13133214C2311yescharacteristic
238#13133213C2314yes—
239#13133212C2318yes—
240#13133212C2318yes—
241#13133212C2318yes—
242#13133212C2318yes—
243#13133211C2318yes—
244#13133211C2314yes—
245#13133211C2314yes—
246#13133210C2318yes—
247#13133210C2318yes—
248#13133210C2318yes—
249#13133210C2318yes—
250#13133210C2318yes—
251#13133209C2318yes—
252#13133209C2314yes—
253#13133209C2312yes—
254#13133209C2312yes—
255#13133209C2312yes—
256#13133208C2318yes—
257#13133208C2318yes—
258#13133208C2314yes—
259#13133208C2314yes—
260#13133208C2314yes—
261#13133207C2318yes—
262#13133207C2318yes—
263#13133207C2318yes—
264#13133207C2318yes—
265#13133207C2318yes—
266#13133207C2318yes—
267#13133207C2318yes—
268#13133206C2314yes—
269#13133205C2314yes—
270#13133205C2312yes—
271#13133205C2312yes—
272#13133205C2312yes—
273#13133204C2314yes—
274#13133204C2314yes—
275#13133203C2318yes—
276#13133203C2318yes—
277#13133203C2318yes—
278#13133203C2318yes—
279#13133202C2318yes—
280#13133201C2318yes—
281#13133201C2318yes—
282#13133201C2318yes—
283#13133200C2314yes—
284#13133200C2318yes—
285#13133200C2314yes—
286#13133200C2314yes—
287#13133199C2318yes—
288#13133199C2318yes—
289#13133198C2318yes—
290#13133198C2318yes—
291#13133198C2318yes—
292#13133197C2318yes—
293#13133197C2314yes—
294#13133197C2314yes—
295#13133196C2318yes—
296#13133196C2314yes—
297#13133196C2314yes—
298#13133196C2314yes—
299#13133196C2312yes—
300#13133196C2312yes—
301#13133196C2312yes—
302#13133196C2312yes—
303#13133196C2312yes—
304#13133196C2312yes—
305#13133195C2318yes—
306#13133195C2318yes—
307#13133195C2318yes—
308#13133195C2318yes—
309#13133194C2318yes—
310#13133194C2318yes—
311#13133194C2318yes—
312#13133194C2318yes—
313#13133194C2318yes—
314#13133194C2318yes—
315#13133194C2318yes—
316#13133194C2318yes—
317#13133194C2318yes—
318#13133193C2318yes—
319#13133193C2314yes—
320#13133191C2312yes—
321#13133191C2314yes—
322#13133191C2312yes—
323#13133191C2312yes—
324#13133191C2312yes—
325#13133191C2312yes—
326#13133191C2312yes—
327#13133190C2318yes—
328#13133189C2318yes—
329#13133189C2318yes—
330#13133189C2318yes—
331#13133189C2318yes—
332#13133189C2318yes—
333#13133188C2314yes—
334#13133186C2314yes—
335Q8×Dic53C2314yes—
336Q8×Dic53C2314yes—
337Q8×Dic53C2314yes—
338C4×Dic106C2312yes—
339C4×Dic106C2314yes—
340C4×Dic106C2314yes—
341C4×Dic106C2312yes—
342C4×Dic106C2312yes—
343C4×Dic106C2312yes—
344C4×Dic106C2318yes—
345C4×Dic106C2314yes—
346C4×Dic106C2314yes—
347C4×Dic106C2312yes—
348C4×Dic106C2314yes—
349C4×Dic106C2312yes—
350C4×Dic106C2314yes—
351C4×Dic106C2312yes—
352C4×Dic106C2314yes—
353C4×Dic106C2312yes—
354C4×Dic106C2312yes—
355C4×Dic106C2318yes—
356C4×Dic106C2312yes—
357C4×Dic106C2312yes—
358C4×Dic106C2312yes—
359C4×Dic106C2312yes—
360C4×Dic106C2312yes—
361C4×Dic106C2314yes—
362C4×Dic106C2314yes—
363C4×Dic106C2312yes—
364C4×Dic106C2312yes—
365C4×Dic106C2314yes—
366C4×Dic106C2312yes—
367C4×Dic106C2314yes—
368C4×Dic106C2312yes—
369C4×Dic106C2312yes—
370C4×Dic106C2318yes—
371C4×Dic106C2312yes—
372C4×Dic106C2312yes—
373C4×Dic106C2312yes—
374#13133182C2314yes—
375#13133182C2314yes—
376#13133182C2318yes—
377#13133182C2318yes—
378#13133182C2314yes—
379#13133182C2318yes—
380#13133182C2314yes—
381C4×D212C2314yes—
382C4×D212C2312yes—
383C4×D212C2312yes—
384C4×D212C2312yes—
385C4×D212C2312yes—
386C4×D212C2312yes—
387C4×D212C2312yes—
388D4×Dic53C2318yes—
389D4×Dic53C2314yes—
390D4×Dic53C2318yes—
391D4×Dic53C2314yes—
392D4×Dic53C2318yes—
393D4×Dic53C2314yes—
394D4×Dic53C2318yes—
395#13133179C2314yes—
396#13133179C2314yes—
397C4×C22⋊D53C2318yes—
398C4×C22⋊D53C2314yes—
399C4×C22⋊D53C2314yes—
400C4×C22⋊D53C2314yes—
401C4×C22⋊D53C2314yes—
402C4×C22⋊D53C2314yes—
403C4×C22⋊D53C2318yes—
404C4×C22⋊D53C2318yes—
405C4×C22⋊D53C2314yes—
406#13133177C2318yes—
407#13133177C2318yes—
408#13133177C2318yes—
409#13133177C2318yes—
410#13133177C2318yes—
411#13133177C2318yes—
412#13133177C2318yes—
413#13133176C2312yes—
414#13133176C2314yes—
415#13133176C2312yes—
416#13133176C2312yes—
417#13133176C2318yes—
418#13133175C2318yes—
419#13133175C2314yes—
420#13133175C2318yes—
421#13133174C2318yes—
422#13133174C2314yes—
423#13133174C2318yes—
424#13133174C2314yes—
425#13133174C2314yes—
426#13133173C2318yes—
427#13133173C2318yes—
428#13133173C2318yes—
429#13133173C2318yes—
430#13133173C2318yes—
431C2×C4⋊Dic53C2312yes—
432C2×C4⋊Dic53C2312yes—
433C2×C4⋊Dic53C2314yes—
434C2×C4⋊Dic53C2312yes—
435C2×C4⋊Dic53C2312yes—
436C2×C4⋊Dic53C2311yescharacteristic
437C2×C4⋊Dic53C2311yescharacteristic
438C2×C4⋊Dic53C2312yes—
439C2×#11719919C2314yes—
440C2×#11719919C2314yes—
441C2×#11719919C2318yes—
442C2×#11719919C2314yes—
443C2×#11719919C2314yes—
444C2×#11719919C2312yes—
445C2×#11719919C2312yes—
446C2×#11719919C2312yes—
447C2×#11719919C2312yes—
448C4⋊C4×D53C2318yes—
449C4⋊C4×D53C2314yes—
450C2×C4×Dic53C2312yes—
451C2×C4×Dic53C2314yes—
452C2×C4×Dic53C2314yes—
453C2×C4×Dic53C2314yes—
454C2×C4×Dic53C2312yes—
455C2×C4×Dic53C2312yes—
456C2×C4×Dic53C2314yes—
457C2×C4×Dic53C2312yes—
458C2×C4×Dic53C2318yes—
459C42×D53C2318yes—
460C42×D53C2314yes—
461C2×#41×C53C2312yes—
462C2×#41×C53C2312yes—
463C2×#41×C53C2312yes—
464C23×C4×C53C2311yescharacteristic
465C23×C4×C53C2311yescharacteristic
466C23×C4×C53C2311yescharacteristic
467C4⋊Q8×C53C2311yescharacteristic
468C4⋊Q8×C53C2311yescharacteristic
469C4⋊Q8×C53C2311yescharacteristic
470#127×C53C2311yescharacteristic
471#126×C53C2314yes—
472#126×C53C2314yes—
473#125×C53C2312yes—
474#125×C53C2312yes—
475#125×C53C2312yes—
476#124×C53C2312yes—
477#124×C53C2312yes—
478#124×C53C2312yes—
479#123×C53C2314yes—
480#123×C53C2314yes—
481#123×C53C2314yes—
482C22⋊Q8×C53C2312yes—
483C22⋊Q8×C53C2312yes—
484C22⋊Q8×C53C2312yes—
485C22⋊Q8×C53C2312yes—
486C22⋊Q8×C53C2312yes—
487C22⋊Q8×C53C2312yes—
488#121×C53C2312yes—
489#121×C53C2312yes—
490#121×C53C2312yes—
491#121×C53C2312yes—
492#121×C53C2312yes—
493#121×C53C2312yes—
494#120×C53C2314yes—
495C4×Q8×C53C2312yes—
496C4×Q8×C53C2312yes—
497C4×Q8×C53C2312yes—
498C4×Q8×C53C2312yes—
499C4×Q8×C53C2312yes—
500C4×Q8×C53C2312yes—
501C4×D4×C53C2314yes—
502C4×D4×C53C2314yes—
503C4×D4×C53C2312yes—
504C4×D4×C53C2312yes—
505C4×D4×C53C2314yes—
506C4×D4×C53C2314yes—
507C4×D4×C53C2314yes—
508C4×D4×C53C2314yes—
509C4×D4×C53C2312yes—
510C4×D4×C53C2312yes—
511C4×D4×C53C2312yes—
512C4×D4×C53C2312yes—
513#117×C53C2312yes—
514#117×C53C2312yes—
515#117×C53C2312yes—
516#117×C53C2314yes—
517#117×C53C2314yes—
518#117×C53C2314yes—
519C2×C42×C53C2311yescharacteristic
520C2×C42×C53C2311yescharacteristic
521C2×C42×C53C2311yescharacteristic
522C2×C42×C53C2311yescharacteristic
523C2×C42×C53C2311yescharacteristic
524C2×C42×C53C2311yescharacteristic
525C2×C42×C53C2311yescharacteristic
526C2×C42×C53C2311yescharacteristic
527C2×C42×C53C2311yescharacteristic
528C2×C42×C53C2311yescharacteristic
529C2×C42×C53C2311yescharacteristic
530C2×C42×C53C2311yescharacteristic
531C2×C42×C53C2314yes—
532C24×C53C2411yescharacteristic
533#41×C53—28no—
534#41×C53—28no—
535#41×C53—44no—
536C2×Q8×C53C2412yes—
537C2×Q8×C53C2412yes—
538C2×Q8×C53C2412yes—
539C2×D4×C53C2414yes—
540C2×D4×C53C2414yes—
541C2×D4×C53C2414yes—
542C2×D4×C53C2412yes—
543C2×D4×C53C2412yes—
544C2×D4×C53C2412yes—
545C22×C4×C53—24no—
546C22×C4×C53—24no—
547C22×C4×C53—42no—
548C22×C4×C53C2411yescharacteristic
549C22×C4×C53C2411yescharacteristic
550C22×C4×C53C2411yescharacteristic
551C22×C4×C53C2411yescharacteristic
552C22×C4×C53C2411yescharacteristic
553C22×C4×C53C2411yescharacteristic
554C22×C4×C53C2411yescharacteristic
555C22×C4×C53C2411yescharacteristic
556C22×C4×C53C2411yescharacteristic
557C22×C4×C53C2411yescharacteristic
558C22×C4×C53C2411yescharacteristic
559C22×C4×C53C2411yescharacteristic
560C22×C4×C53C2414yes—
561C22×C4×C53C2414yes—
562C22×C4×C53C2411yescharacteristic
563C22×C4×C53C2411yescharacteristic
564C22×C4×C53C2411yescharacteristic
565C22×C4×C53C2411yescharacteristic
566C22×C4×C53C2414yes—
567C22×C4×C53C2411yescharacteristic
568C22×C4×C53C2411yescharacteristic
569C2×C22⋊D53C2414yes—
570C2×C22⋊D53C2414yes—
571C2×C22⋊D53C2414yes—
572C2×C22⋊D53C2418yes—
573C2×C22⋊D53C2418yes—
574C22×Dic53—28no—
575C22×Dic53—44no—
576C22×Dic53C2414yes—
577C22×Dic53C2414yes—
578C22×Dic53C2414yes—
579C22×Dic53C2412yes—
580C22×Dic53C2418yes—
581C22×Dic53C2412yes—
582C22×Dic53C2414yes—
583C22×Dic53C2412yes—
584C22×Dic53C2418yes—
585C22×Dic53C2412yes—
586Q8×D53—216no—
587#11719947—232no—
588#11719947—216no—
589#11719947—416no—
590#11719945—28no—
591#11719945—28no—
592#11719945—216no—
593#11719945—44no—
594C2×D212C2412yes—
595C2×D212C2412yes—
596C2×D212C2412yes—
597C2×C4×D53C2414yes—
598C2×C4×D53C2418yes—
599C2×C4×D53C2414yes—
600C2×C4×D53C2414yes—
601C2×C4×D53C2418yes—
602C2×Dic106—24no—
603C2×Dic106—28no—
604C2×Dic106—28no—
605C2×Dic106—28no—
606C2×Dic106—28no—
607C2×Dic106—28no—
608C2×Dic106—216no—
609C2×Dic106#4118yescomplemented
610C2×Dic106C2412yes—
611C2×Dic106C2418yes—
612C2×Dic106C2414yes—
613C2×Dic106C2414yes—
614C2×Dic106C2412yes—
615C2×Dic106C2412yes—
616C2×Dic106C2412yes—
617C2×Dic106C2418yes—
618C2×Dic106C2412yes—
619C2×Dic106C2412yes—
620C2×Dic106C2412yes—
621C4⋊C4×C53C2412yes—
622C4⋊C4×C53C2412yes—
623C4⋊C4×C53C2412yes—
624C4⋊C4×C53C2412yes—
625C4⋊C4×C53C2412yes—
626C4⋊C4×C53C2412yes—
627C4⋊C4×C53C2414yes—
628C4⋊C4×C53C2414yes—
629C4⋊C4×C53C2414yes—
630C4⋊C4×C53C2414yes—
631C4⋊C4×C53C2414yes—
632C4⋊C4×C53C2414yes—
633C22⋊C4×C53C2414yes—
634C22⋊C4×C53C2414yes—
635C22⋊C4×C53C2414yes—
636C22⋊C4×C53C2414yes—
637C22⋊C4×C53C2414yes—
638C22⋊C4×C53C2414yes—
639C22⋊C4×C53C2414yes—
640C22⋊C4×C53C2414yes—
641C22⋊C4×C53C2414yes—
642C42×C53C2411yescharacteristic
643C42×C53C2411yescharacteristic
644C42×C53C2411yescharacteristic
645C42×C53C2411yescharacteristic
646C42×C53C2411yescharacteristic
647C42×C53C2411yescharacteristic
648C42×C53C2411yescharacteristic
649C42×C53C2411yescharacteristic
650C42×C53C2411yescharacteristic
651C42×C53C2411yescharacteristic
652C42×C53C2411yescharacteristic
653C42×C53C2411yescharacteristic
654C42×C53C2411yescharacteristic
655C42×C53C2411yescharacteristic
656C42×C53C2411yescharacteristic
657C42×C53C2411yescharacteristic
658C42×C53C2414yes—
659C42×C53C2414yes—
660C42×C53C2414yes—
661C22⋊Dic53C2414yes—
662C22⋊Dic53C2414yes—
663C22⋊Dic53C2418yes—
664C22⋊Dic53C2418yes—
665C22⋊Dic53C2414yes—
666C22⋊Dic53C2418yes—
667C22⋊Dic53C2418yes—
668#11719921C2414yes—
669#11719921C2418yes—
670#11719921C2414yes—
671#11719921C2414yes—
672#11719921C2418yes—
673#11719921C2418yes—
674#11719921C2414yes—
675#11719921C2414yes—
676#11719921C2414yes—
677#11719921C2418yes—
678C4⋊Dic53C2412yes—
679C4⋊Dic53C2418yes—
680C4⋊Dic53C2412yes—
681C4⋊Dic53C2412yes—
682C4⋊Dic53C2412yes—
683C4⋊Dic53C2414yes—
684C4⋊Dic53C2414yes—
685C4⋊Dic53C2412yes—
686C4⋊Dic53C2418yes—
687C4⋊Dic53C2412yes—
688C4⋊Dic53C2412yes—
689C4⋊Dic53C2412yes—
690C4⋊Dic53C2418yes—
691C4⋊Dic53C2418yes—
692C4⋊Dic53C2412yes—
693C4⋊Dic53C2412yes—
694#11719919C2414yes—
695#11719919C2418yes—
696#11719919C2418yes—
697#11719919C2414yes—
698#11719919C2414yes—
699#11719919C2414yes—
700#11719919C2414yes—
701#11719919C2414yes—
702#11719919C2414yes—
703#11719919C2414yes—
704#11719919C2414yes—
705#11719919C2418yes—
706#11719919C2414yes—
707#11719919C2414yes—
708#11719919C2418yes—
709#11719919C2418yes—
710#11719919C2418yes—
711#11719919C2418yes—
712#11719919C2418yes—
713#11719919C2414yes—
714#11719919C2414yes—
715#11719919C2414yes—
716C4×Dic53C2414yes—
717C4×Dic53C2414yes—
718C4×Dic53C2418yes—
719C4×Dic53C2414yes—
720C4×Dic53C2418yes—
721C4×Dic53C2414yes—
722C4×Dic53C2414yes—
723C4×Dic53C2414yes—
724C4×Dic53C2414yes—
725C4×Dic53C2414yes—
726C4×Dic53C2414yes—
727C4×Dic53C2414yes—
728C4×Dic53C2414yes—
729C4×Dic53C2418yes—
730C4×Dic53C2418yes—
731C23×C53—22no—
732C23×C53—22no—
733C23×C53—22no—
734C23×C53C2514yes—
735C23×C53C2511yescharacteristic
736C23×C53C2511yescharacteristic
737C23×C53C2511yescharacteristic
738C22×D53C2514yes—
739Q8×C53—24no—
740Q8×C53—24no—
741Q8×C53—42no—
742D4×C53—28no—
743D4×C53—28no—
744D4×C53—28no—
745D4×C53—24no—
746D4×C53—24no—
747D4×C53—42no—
748C2×C4×C53—22no—
749C2×C4×C53—22no—
750C2×C4×C53—22no—
751C2×C4×C53—22no—
752C2×C4×C53—22no—
753C2×C4×C53—22no—
754C2×C4×C53—22no—
755C2×C4×C53—22no—
756C2×C4×C53—28no—
757C2×C4×C53—22no—
758C2×C4×C53—22no—
759C2×C4×C53—22no—
760C2×C4×C53—22no—
761C2×C4×C53—28no—
762C2×C4×C53—41no—
763C2×C4×C53—41no—
764C2×C4×C53—41no—
765C2×C4×C53—41no—
766C2×C4×C53—44no—
767C2×C4×C53C2×#4114yes—
768C2×C4×C532−1+414yescomplemented
769C2×C4×C53C2511yescharacteristic
770C2×C4×C53C2511yescharacteristic
771C2×C4×C53C2514yes—
772C2×C4×C53C2514yes—
773C2×C4×C53C2511yescharacteristic
774C2×C4×C53C2511yescharacteristic
775C2×C4×C53C2511yescharacteristic
776C2×C4×C53C2511yescharacteristic
777C2×C4×C53C2511yescharacteristic
778C2×C4×C53C2511yescharacteristic
779C2×C4×C53C2514yes—
780C2×C4×C53C2511yescharacteristic
781C2×C4×C53C2511yescharacteristic
782C2×C4×C53C2511yescharacteristic
783C2×C4×C53C2511yescharacteristic
784C22⋊D53—28no—
785C22⋊D53—28no—
786C22⋊D53—28no—
787C22⋊D53—216no—
788C22⋊D53—48no—
789C2×Dic53—24no—
790C2×Dic53—28no—
791C2×Dic53—28no—
792C2×Dic53—28no—
793C2×Dic53—216no—
794C2×Dic53—48no—
795C2×Dic53—42no—
796C2×Dic53—44no—
797C2×Dic53—42no—
798C2×Dic53C2×#4118yes—
799C2×Dic53C2514yes—
800C2×Dic53C2514yes—
801C2×Dic53C2514yes—
802C2×Dic53C2514yes—
803C2×Dic53C2514yes—
804C2×Dic53C2514yes—
805C2×Dic53C2514yes—
806D212—24no—
807D212—24no—
808D212—42no—
809C4×D53—28no—
810C4×D53—28no—
811C4×D53—216no—
812C4×D53—44no—
813C4×D53—48no—
814Dic106—24no—
815Dic106—24no—
816Dic106—24no—
817Dic106—24no—
818Dic106—28no—
819Dic106—28no—
820Dic106—216no—
821Dic106—42no—
822Dic106—48no—
823Dic106C2×#4118yes—
824Dic106C2×#4118yes—
825#62788—531nomaximal, Sylow
826C22×C53—28no—
827C22×C53—21no—
828C22×C53—21no—
829C22×C53—21no—
830C22×C53—21no—
831C22×C53—21no—
832C22×C53—21no—
833C22×C53—24no—
834C22×C53—24no—
835C22×C53—24no—
836C22×C53C22×#4112yes—
837C22×C53C2×2−1+412yes—
838C22×C53#58512yes—
839C22×C53C2611yescharacteristic
840C2×D53—24no—
841C2×D53—24no—
842C2×D53—24no—
843C4×C53—21no—
844C4×C53—21no—
845C4×C53—24no—
846C4×C53—21no—
847C4×C53—21no—
848C4×C53—24no—
849C4×C53—24no—
850C4×C53—21no—
851C4×C53—21no—
852C4×C53—21no—
853C4×C53—21no—
854C4×C53C22×#4112yes—
855C4×C53C22×#4112yes—
856C4×C53C2×2−1+412yes—
857C4×C53C2×2−1+412yes—
858Dic53—24no—
859Dic53—24no—
860Dic53—24no—
861Dic53—24no—
862Dic53—24no—
863Dic53—24no—
864Dic53C22×#4118yes—
865#3523—532no—
866#3523—532no—
867#3522—532no—
868#3522—532no—
869#3516—534no—
870#3516—534no—
871#3507—531no—
872#3507—531no—
873#3507—534no—
874#3502—531no—
875#3497—531no—
876#3492—534no—
877#3492—532no—
878#3486—532no—
879#3482—534no—
880#3482—534no—
881#3480—532no—
882#3480—532no—
883Q8×#41—532no—
884Q8×#41—532no—
885#3461—534no—
886#3461—532no—
887#3444—531no—
888#3444—534no—
889#3444D5311yescharacteristic, complemented
890C4×2−1+4—532no—
891C22×C4×Q8—531no—
892C2×C53—22no—
893C2×C53—22no—
894C2×C53—22no—
895C2×C53—44no—
896C2×C53C23×#4111yescharacteristic
897C2×C53C22×2−1+411yescharacteristic
898C2×C53C2×#58511yescharacteristic
899D53—44no—
900C2×2−1+4—532no—
901C23×Q8—531no—
902#559—532no—
903#559—534no—
904#559—532no—
905#559—534no—
906Q82—532no—
907Q82—532no—
908#557—532no—
909#557—532no—
910#557—534no—
911#557—534no—
912#557—534no—
913#557—532no—
914#557—534no—
915#557—532no—
916#556—532no—
917#556—538no—
918#556—534no—
919#556—534no—
920#556—534no—
921#556—534no—
922#556—532no—
923#556—538no—
924#554—532no—
925#554—534no—
926#554—538no—
927#554—534no—
928#554—534no—
929#554—532no—
930#554—538no—
931#554—534no—
932#553—538no—
933#553—534no—
934#553—534no—
935#553—538no—
936#552—538no—
937#552—534no—
938#552—538no—
939#552—534no—
940#552—534no—
941#552—534no—
942#552—538no—
943#552—538no—
944#550—532no—
945#550—532no—
946D4×Q8—532no—
947D4×Q8—534no—
948D4×Q8—534no—
949D4×Q8—534no—
950D4×Q8—534no—
951D4×Q8—532no—
952#548—534no—
953#548—534no—
954#548—534no—
955#548—534no—
956#548—534no—
957#548—534no—
958#547—538no—
959#547—538no—
960#547—534no—
961#547—534no—
962#544—534no—
963#544—532no—
964#542—538no—
965#542—538no—
966#542—534no—
967#542—534no—
968#541—538no—
969#541—538no—
970#541—534no—
971#541—534no—
972#539—538no—
973#539—534no—
974#539—534no—
975#539—538no—
976#537—532no—
977#537—534no—
978#536—532no—
979#536—538no—
980#536—532no—
981#533—534no—
982#533—534no—
983#533—538no—
984#533—534no—
985#533—534no—
986#533—538no—
987#533—531no—
988#533—531no—
989#533—531no—
990#533—534no—
991#533C2×D5311yescharacteristic
992#533C2×D5311yescharacteristic
993#533C2×D5311yescharacteristic
994#532—534no—
995#532—534no—
996#532—534no—
997#532—531no—
998#532—531no—
999#532—531no—
1000#532C2×D5311yescharacteristic
1001#532C2×D5311yescharacteristic
1002#532C2×D5311yescharacteristic
1003#529—538no—
1004#529—538no—
1005#529—534no—
1006#529—534no—
1007#529—534no—
1008#529—534no—
1009#529—538no—
1010#529—538no—
1011#529—538no—
1012#529—534no—
1013#529—538no—
1014#529—532no—
1015#529—532no—
1016#529—532no—
1017#529—532no—
1018#529—532no—
1019#529—532no—
1020#529—534no—
1021#529C2×D5312yes—
1022#529C2×D5312yes—
1023#529C2×D5312yes—
1024#529C2×D5312yes—
1025#529C2×D5312yes—
1026#529C2×D5312yes—
1027#525—532no—
1028#525—532no—
1029#525—532no—
1030#525—538no—
1031#525—538no—
1032#525C2×D5312yes—
1033#525C2×D5312yes—
1034#525C2×D5312yes—
1035#520—532no—
1036#520—538no—
1037#520—534no—
1038#520—532no—
1039#520—534no—
1040#519—534no—
1041#519—532no—
1042#519—534no—
1043C4×#41—534no—
1044C4×#41—538no—
1045C4×#41—538no—
1046C4×#41—534no—
1047C4×#41—534no—
1048C4×#41—532no—
1049C4×#41—532no—
1050C4×#41—532no—
1051C4×#41—534no—
1052C4×#41C2×D5312yes—
1053C4×#41C2×D5312yes—
1054C4×#41C2×D5312yes—
1055C2×C4×Q8—534no—
1056C2×C4×Q8—531no—
1057C2×C4×Q8—532no—
1058C2×C4×Q8—531no—
1059C2×C4×Q8—532no—
1060C2×C4×Q8—532no—
1061C2×C4×Q8—532no—
1062C2×C4×Q8—532no—
1063C2×C4×Q8—531no—
1064C2×C4×Q8—531no—
1065C2×C4×Q8—532no—
1066C2×C4×Q8—532no—
1067C2×C4×Q8—532no—
1068C2×C4×Q8—532no—
1069C2×C4×Q8—532no—
1070C2×C4×Q8—534no—
1071C22×C4⋊C4—532no—
1072C22×C4⋊C4—531no—
1073C22×C42—532no—
1074C22×C42C2×D5311yescharacteristic
1075C53#6278811yescharacteristic, complemented, Sylow
10762−1+4—10616no—
1077C2×#41—538no—
1078C2×#41—534no—
1079C2×#41—538no—
1080C2×#41—532no—
1081C2×#41—532no—
1082C2×#41—534no—
1083C2×#41—532no—
1084C2×#41C22×D5312yes—
1085C2×#41C22×D5312yes—
1086C2×#41C22×D5312yes—
1087C22×Q8—534no—
1088C22×Q8—531no—
1089C22×Q8—532no—
1090C22×Q8—531no—
1091C22×Q8—532no—
1092C22×Q8—532no—
1093C22×Q8—532no—
1094C22×Q8—532no—
1095C22×Q8—534no—
1096C22×Q8—1068no—
1097C23×C4—532no—
1098C23×C4—532no—
1099C23×C4C22×D5311yescharacteristic
1100C23×C4C22×D5311yescharacteristic
1101C23×C4C22×D5311yescharacteristic
1102C4⋊Q8—534no—
1103C4⋊Q8—534no—
1104C4⋊Q8—538no—
1105C4⋊Q8—534no—
1106C4⋊Q8—534no—
1107C4⋊Q8—538no—
1108C4⋊Q8—538no—
1109C4⋊Q8—538no—
1110C4⋊Q8—534no—
1111C4⋊Q8—531no—
1112C4⋊Q8—531no—
1113C4⋊Q8—531no—
1114C4⋊Q8—534no—
1115C4⋊Q8—534no—
1116C4⋊Q8C22×D5311yescharacteristic
1117C4⋊Q8C22×D5311yescharacteristic
1118C4⋊Q8C22×D5311yescharacteristic
1119#127—534no—
1120#127—531no—
1121#127C22×D5311yescharacteristic
1122#126—538no—
1123#126—538no—
1124#126—538no—
1125#126—538no—
1126#126—538no—
1127#126—538no—
1128#126—538no—
1129#126—538no—
1130#126—538no—
1131#126—534no—
1132#126—534no—
1133#126—538no—
1134#126C22×D5314yes—
1135#126C22×D5314yes—
1136#125—538no—
1137#125—538no—
1138#125—534no—
1139#125—534no—
1140#125—538no—
1141#125—538no—
1142#125—534no—
1143#125—538no—
1144#125—538no—
1145#125—538no—
1146#125—538no—
1147#125—538no—
1148#125—532no—
1149#125—532no—
1150#125—532no—
1151#125—534no—
1152#125—538no—
1153#125C22×D5312yes—
1154#125C22×D5312yes—
1155#125C22×D5312yes—
1156#124—534no—
1157#124—534no—
1158#124—534no—
1159#124—538no—
1160#124—538no—
1161#124—538no—
1162#124—538no—
1163#124—532no—
1164#124—532no—
1165#124—532no—
1166#124—534no—
1167#124C22×D5312yes—
1168#124C22×D5312yes—
1169#124C22×D5312yes—
1170#123—538no—
1171#123—538no—
1172#123—538no—
1173#123—534no—
1174#123—534no—
1175#123—534no—
1176#123—538no—
1177#123—538no—
1178#123—538no—
1179#123—538no—
1180#123—538no—
1181#123—538no—
1182#123—538no—
1183#123C22×D5314yes—
1184#123C22×D5314yes—
1185#123C22×D5314yes—
1186C22⋊Q8—534no—
1187C22⋊Q8—538no—
1188C22⋊Q8—532no—
1189C22⋊Q8—532no—
1190C22⋊Q8—532no—
1191C22⋊Q8—532no—
1192C22⋊Q8—532no—
1193C22⋊Q8—532no—
1194C22⋊Q8—534no—
1195C22⋊Q8—534no—
1196C22⋊Q8—534no—
1197C22⋊Q8—538no—
1198C22⋊Q8—538no—
1199C22⋊Q8—534no—
1200C22⋊Q8—538no—
1201C22⋊Q8—534no—
1202C22⋊Q8—538no—
1203C22⋊Q8—538no—
1204C22⋊Q8—538no—
1205C22⋊Q8—538no—
1206C22⋊Q8—538no—
1207C22⋊Q8—538no—
1208C22⋊Q8—538no—
1209C22⋊Q8—538no—
1210C22⋊Q8—538no—
1211C22⋊Q8—538no—
1212C22⋊Q8—538no—
1213C22⋊Q8—538no—
1214C22⋊Q8C22×D5312yes—
1215C22⋊Q8C22×D5312yes—
1216C22⋊Q8C22×D5312yes—
1217C22⋊Q8C22×D5312yes—
1218C22⋊Q8C22×D5312yes—
1219C22⋊Q8C22×D5312yes—
1220#121—538no—
1221#121—538no—
1222#121—538no—
1223#121—538no—
1224#121—534no—
1225#121—538no—
1226#121—532no—
1227#121—532no—
1228#121—532no—
1229#121—532no—
1230#121—532no—
1231#121—532no—
1232#121—534no—
1233#121—538no—
1234#121C22×D5312yes—
1235#121C22×D5312yes—
1236#121C22×D5312yes—
1237#121C22×D5312yes—
1238#121C22×D5312yes—
1239#121C22×D5312yes—
1240#120—534no—
1241#120C22×D5314yes—
1242C4×Q8—534no—
1243C4×Q8—534no—
1244C4×Q8—534no—
1245C4×Q8—534no—
1246C4×Q8—538no—
1247C4×Q8—538no—
1248C4×Q8—534no—
1249C4×Q8—534no—
1250C4×Q8—538no—
1251C4×Q8—534no—
1252C4×Q8—532no—
1253C4×Q8—532no—
1254C4×Q8—532no—
1255C4×Q8—532no—
1256C4×Q8—534no—
1257C4×Q8—534no—
1258C4×Q8—532no—
1259C4×Q8—532no—
1260C4×Q8—534no—
1261C4×Q8—534no—
1262C4×Q8—532no—
1263C4×Q8—532no—
1264C4×Q8—532no—
1265C4×Q8—532no—
1266C4×Q8—532no—
1267C4×Q8—532no—
1268C4×Q8—532no—
1269C4×Q8—532no—
1270C4×Q8—534no—
1271C4×Q8—534no—
1272C4×Q8—532no—
1273C4×Q8—532no—
1274C4×Q8—534no—
1275C4×Q8—534no—
1276C4×Q8—538no—
1277C4×Q8—532no—
1278C4×Q8—534no—
1279C4×Q8—534no—
1280C4×Q8—538no—
1281C4×Q8—532no—
1282C4×Q8—534no—
1283C4×Q8—538no—
1284C4×Q8—532no—
1285C4×Q8—532no—
1286C4×Q8—532no—
1287C4×Q8—532no—
1288C4×Q8C22×D5312yes—
1289C4×Q8C22×D5312yes—
1290C4×Q8C22×D5312yes—
1291C4×Q8C22×D5312yes—
1292C4×Q8C22×D5312yes—
1293C4×Q8C22×D5312yes—
1294C4×D4—538no—
1295C4×D4—534no—
1296C4×D4—538no—
1297C4×D4—538no—
1298C4×D4—538no—
1299C4×D4—534no—
1300C4×D4—534no—
1301C4×D4—534no—
1302C4×D4—534no—
1303C4×D4—538no—
1304C4×D4—534no—
1305C4×D4—538no—
1306C4×D4—534no—
1307C4×D4—534no—
1308C4×D4—534no—
1309C4×D4—538no—
1310C4×D4—534no—
1311C4×D4—534no—
1312C4×D4—538no—
1313C4×D4—538no—
1314C4×D4—538no—
1315C4×D4—538no—
1316C4×D4—538no—
1317C4×D4—538no—
1318C4×D4—538no—
1319C4×D4—532no—
1320C4×D4—532no—
1321C4×D4—534no—
1322C4×D4—532no—
1323C4×D4—532no—
1324C4×D4—532no—
1325C4×D4—532no—
1326C4×D4C22×D5314yes—
1327C4×D4C22×D5314yes—
1328C4×D4C22×D5312yes—
1329C4×D4C22×D5314yes—
1330C4×D4C22×D5312yes—
1331C4×D4C22×D5314yes—
1332C4×D4C22×D5314yes—
1333C4×D4C22×D5314yes—
1334C4×D4C22×D5312yes—
1335C4×D4C22×D5312yes—
1336C4×D4C22×D5312yes—
1337C4×D4C22×D5312yes—
1338#117—532no—
1339#117—532no—
1340#117—534no—
1341#117—532no—
1342#117—538no—
1343#117—538no—
1344#117—534no—
1345#117—538no—
1346#117—538no—
1347#117—538no—
1348#117—538no—
1349#117—538no—
1350#117—538no—
1351#117—534no—
1352#117—538no—
1353#117—538no—
1354#117—534no—
1355#117—534no—
1356#117C22×D5312yes—
1357#117C22×D5312yes—
1358#117C22×D5314yes—
1359#117C22×D5312yes—
1360#117C22×D5314yes—
1361#117C22×D5314yes—
1362C2×C4⋊C4—532no—
1363C2×C4⋊C4—531no—
1364C2×C4⋊C4—532no—
1365C2×C4⋊C4—531no—
1366C2×C4⋊C4—532no—
1367C2×C4⋊C4—532no—
1368C2×C4⋊C4—532no—
1369C2×C4⋊C4—534no—
1370C2×C4⋊C4—534no—
1371C2×C4⋊C4—532no—
1372C2×C4⋊C4—532no—
1373C2×C4⋊C4—534no—
1374C2×C4⋊C4—534no—
1375C2×C4⋊C4—532no—
1376C2×C4⋊C4—532no—
1377C2×C4⋊C4—538no—
1378C2×C4⋊C4—534no—
1379C2×C4⋊C4—538no—
1380C2×C4⋊C4—534no—
1381C2×C42—532no—
1382C2×C42—534no—
1383C2×C42—534no—
1384C2×C42—534no—
1385C2×C42—532no—
1386C2×C42—532no—
1387C2×C42—534no—
1388C2×C42—532no—
1389C2×C42—538no—
1390C2×C42—538no—
1391C2×C42—534no—
1392C2×C42C22×D5311yescharacteristic
1393C2×C42C22×D5311yescharacteristic
1394C2×C42C22×D5311yescharacteristic
1395C2×C42C22×D5311yescharacteristic
1396C2×C42C22×D5311yescharacteristic
1397C2×C42C22×D5311yescharacteristic
1398C2×C42C22×D5311yescharacteristic
1399C2×C42C22×D5311yescharacteristic
1400C2×C42C22×D5311yescharacteristic
1401C2×C42C22×D5311yescharacteristic
1402C2×C42C22×D5311yescharacteristic
1403C2×C42C22×D5311yescharacteristic
1404C2×C42C22×D5314yes—
1405C24C23×D5311yescharacteristic
1406#41—28no—
1407#41—28no—
1408#41—44no—
1409#41—10616no—
1410#41—10632no—
1411#41—10616no—
1412#41—1068no—
1413#41—1068no—
1414#41—2124no—
1415#41—21216no—
1416C2×Q8—538no—
1417C2×Q8—532no—
1418C2×Q8—532no—
1419C2×Q8—532no—
1420C2×Q8—534no—
1421C2×Q8—534no—
1422C2×Q8—532no—
1423C2×Q8—532no—
1424C2×Q8—538no—
1425C2×Q8—532no—
1426C2×Q8—532no—
1427C2×Q8—538no—
1428C2×Q8—1068no—
1429C2×Q8—1068no—
1430C2×Q8—1068no—
1431C2×Q8—1068no—
1432C2×Q8—1068no—
1433C2×Q8—10616no—
1434C2×Q8—10616no—
1435C2×Q8—1064no—
1436C2×Q8C23×D5312yes—
1437C2×Q8C23×D5312yes—
1438C2×Q8C23×D5312yes—
1439C2×D4—534no—
1440C2×D4—534no—
1441C2×D4—534no—
1442C2×D4—538no—
1443C2×D4—538no—
1444C2×D4—532no—
1445C2×D4—532no—
1446C2×D4—532no—
1447C2×D4C23×D5314yes—
1448C2×D4C23×D5312yes—
1449C2×D4C23×D5314yes—
1450C2×D4C23×D5314yes—
1451C2×D4C23×D5312yes—
1452C2×D4C23×D5312yes—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—42no—
1456C22×C4—532no—
1457C22×C4—534no—
1458C22×C4—534no—
1459C22×C4—534no—
1460C22×C4—532no—
1461C22×C4—538no—
1462C22×C4—532no—
1463C22×C4—534no—
1464C22×C4—532no—
1465C22×C4—538no—
1466C22×C4—538no—
1467C22×C4—534no—
1468C22×C4—534no—
1469C22×C4—538no—
1470C22×C4—534no—
1471C22×C4—1068no—
1472C22×C4—2124no—
1473C22×C4C23×D5311yescharacteristic
1474C22×C4C23×D5311yescharacteristic
1475C22×C4C23×D5311yescharacteristic
1476C22×C4C23×D5311yescharacteristic
1477C22×C4C23×D5311yescharacteristic
1478C22×C4C23×D5311yescharacteristic
1479C22×C4C23×D5311yescharacteristic
1480C22×C4C23×D5311yescharacteristic
1481C22×C4C23×D5311yescharacteristic
1482C22×C4C23×D5311yescharacteristic
1483C22×C4C23×D5314yes—
1484C22×C4C23×D5311yescharacteristic
1485C22×C4C23×D5311yescharacteristic
1486C22×C4C23×D5314yes—
1487C22×C4C23×D5311yescharacteristic
1488C22×C4C23×D5311yescharacteristic
1489C22×C4C23×D5311yescharacteristic
1490C22×C4C23×D5311yescharacteristic
1491C22×C4C23×D5314yes—
1492C22×C4C23×D5311yescharacteristic
1493C22×C4C23×D5311yescharacteristic
1494C4⋊C4—534no—
1495C4⋊C4—534no—
1496C4⋊C4—532no—
1497C4⋊C4—532no—
1498C4⋊C4—534no—
1499C4⋊C4—534no—
1500C4⋊C4—532no—
1501C4⋊C4—532no—
1502C4⋊C4—534no—
1503C4⋊C4—534no—
1504C4⋊C4—534no—
1505C4⋊C4—534no—
1506C4⋊C4—534no—
1507C4⋊C4—534no—
1508C4⋊C4—538no—
1509C4⋊C4—532no—
1510C4⋊C4—538no—
1511C4⋊C4—534no—
1512C4⋊C4—538no—
1513C4⋊C4—538no—
1514C4⋊C4—532no—
1515C4⋊C4—534no—
1516C4⋊C4—534no—
1517C4⋊C4—532no—
1518C4⋊C4—532no—
1519C4⋊C4—538no—
1520C4⋊C4—532no—
1521C4⋊C4—538no—
1522C4⋊C4—532no—
1523C4⋊C4—538no—
1524C4⋊C4—534no—
1525C4⋊C4—538no—
1526C4⋊C4—538no—
1527C4⋊C4—534no—
1528C4⋊C4—538no—
1529C4⋊C4—534no—
1530C4⋊C4—538no—
1531C4⋊C4—538no—
1532C4⋊C4C23×D5312yes—
1533C4⋊C4C23×D5314yes—
1534C4⋊C4C23×D5312yes—
1535C4⋊C4C23×D5314yes—
1536C4⋊C4C23×D5314yes—
1537C4⋊C4C23×D5312yes—
1538C4⋊C4C23×D5312yes—
1539C4⋊C4C23×D5312yes—
1540C4⋊C4C23×D5312yes—
1541C4⋊C4C23×D5314yes—
1542C4⋊C4C23×D5314yes—
1543C4⋊C4C23×D5314yes—
1544C22⋊C4—534no—
1545C22⋊C4—534no—
1546C22⋊C4—538no—
1547C22⋊C4—534no—
1548C22⋊C4—538no—
1549C22⋊C4—538no—
1550C22⋊C4—538no—
1551C22⋊C4—538no—
1552C22⋊C4—534no—
1553C22⋊C4—534no—
1554C22⋊C4—534no—
1555C22⋊C4—534no—
1556C22⋊C4—538no—
1557C22⋊C4—538no—
1558C22⋊C4—534no—
1559C22⋊C4—534no—
1560C22⋊C4—538no—
1561C22⋊C4C23×D5314yes—
1562C22⋊C4C23×D5314yes—
1563C22⋊C4C23×D5314yes—
1564C22⋊C4C23×D5314yes—
1565C22⋊C4C23×D5314yes—
1566C22⋊C4C23×D5314yes—
1567C22⋊C4C23×D5314yes—
1568C22⋊C4C23×D5314yes—
1569C22⋊C4C23×D5314yes—
1570C42—534no—
1571C42—534no—
1572C42—534no—
1573C42—534no—
1574C42—534no—
1575C42—534no—
1576C42—538no—
1577C42—538no—
1578C42—534no—
1579C42—538no—
1580C42—538no—
1581C42—534no—
1582C42—534no—
1583C42—534no—
1584C42—534no—
1585C42C23×D5311yescharacteristic
1586C42C23×D5311yescharacteristic
1587C42C23×D5311yescharacteristic
1588C42C23×D5311yescharacteristic
1589C42C23×D5311yescharacteristic
1590C42C23×D5311yescharacteristic
1591C42C23×D5311yescharacteristic
1592C42C23×D5311yescharacteristic
1593C42C23×D5311yescharacteristic
1594C42C23×D5311yescharacteristic
1595C42C23×D5311yescharacteristic
1596C42C23×D5311yescharacteristic
1597C42C23×D5314yes—
1598C42C23×D5314yes—
1599C42C23×D5311yescharacteristic
1600C42C23×D5314yes—
1601C42C23×D5311yescharacteristic
1602C42C23×D5311yescharacteristic
1603C42C23×D5311yescharacteristic
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—534no—
1608C23C24×D5314yes—
1609C23C24×D5311yescharacteristic
1610C23C24×D5311yescharacteristic
1611C23C24×D5311yescharacteristic
1612Q8—24no—
1613Q8—24no—
1614Q8—42no—
1615Q8—538no—
1616Q8—538no—
1617Q8—1068no—
1618Q8—1068no—
1619Q8—10616no—
1620Q8—1064no—
1621Q8—1064no—
1622Q8—1064no—
1623Q8—1064no—
1624Q8—2122no—
1625Q8—2128no—
1626D4—28no—
1627D4—28no—
1628D4—28no—
1629D4—24no—
1630D4—24no—
1631D4—42no—
1632D4—10616no—
1633D4—1068no—
1634D4—1068no—
1635D4—1068no—
1636D4—1064no—
1637D4—1064no—
1638D4—2122no—
1639D4—2128no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—28no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—28no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—44no—
1659C2×C4—538no—
1660C2×C4—534no—
1661C2×C4—534no—
1662C2×C4—534no—
1663C2×C4—534no—
1664C2×C4—534no—
1665C2×C4—534no—
1666C2×C4—534no—
1667C2×C4—10616no—
1668C2×C4—1068no—
1669C2×C4—1068no—
1670C2×C4—10616no—
1671C2×C4—1064no—
1672C2×C4—1068no—
1673C2×C4—1068no—
1674C2×C4—1068no—
1675C2×C4—2124no—
1676C2×C4—2128no—
1677C2×C4—2122no—
1678C2×C4—2124no—
1679C2×C4—2122no—
1680C2×C4—2128no—
1681C2×C4#41×D5314yes—
1682C2×C4#1313326414yescomplemented
1683C2×C4C24×D5311yescharacteristic
1684C2×C4C24×D5311yescharacteristic
1685C2×C4C24×D5311yescharacteristic
1686C2×C4C24×D5314yes—
1687C2×C4C24×D5314yes—
1688C2×C4C24×D5314yes—
1689C2×C4C24×D5311yescharacteristic
1690C2×C4C24×D5311yescharacteristic
1691C2×C4C24×D5311yescharacteristic
1692C2×C4C24×D5311yescharacteristic
1693C2×C4C24×D5311yescharacteristic
1694C2×C4C24×D5311yescharacteristic
1695C2×C4C24×D5311yescharacteristic
1696C2×C4C24×D5311yescharacteristic
1697C2×C4C24×D5311yescharacteristic
1698C22—28no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—21no—
1705C22—24no—
1706C22—24no—
1707C22—24no—
1708C22—1064no—
1709C22—1064no—
1710C22—1064no—
1711C22C2×#41×D5312yes—
1712C22C2×#1313326412yes—
1713C22#1681145912yes—
1714C22C25×D5311yescharacteristic
1715C4—21no—
1716C4—21no—
1717C4—24no—
1718C4—21no—
1719C4—21no—
1720C4—24no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—24no—
1726C4—538no—
1727C4—1064no—
1728C4—1064no—
1729C4—1064no—
1730C4—1064no—
1731C4—1064no—
1732C4—1064no—
1733C4C2×#41×D5312yes—
1734C4C2×#41×D5312yes—
1735C4C2×#1313326412yes—
1736C4C2×#1313326412yes—
1737C2—22no—
1738C2—22no—
1739C2—22no—
1740C2—44no—
1741C2—2124no—
1742C2C22×#41×D5311yescharacteristic
1743C2C22×#1313326411yescharacteristic
1744C2C2×#1681145911yescharacteristic
subgroupG/H
centerC2×C4C24×D53
commutator, socle, cosocleC22×C53C26
FrattiniC22C25×D53
FittingC53×#3444C2
hypercenter#3444D53
hypocenterC53#62788
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #20288809C2semidirect
2. #20288803C2semidirect
3. #20288798C2semidirect
4. #20288792C2semidirect
5. #20288704C2semidirect
6. #20288698C2semidirect
7. #20288582C2semidirect
8. #20288577C2semidirect
9. #20288571C2semidirect
10. #20288520C2semidirect
11. #20288481C2semidirect
12. #20288421C2semidirect
13. #20288416C2semidirect
14. #20288362C2semidirect
15. #20288330C2semidirect
16. #20288328C2semidirect
17. #20288312C2semidirect
18. #20288308C2semidirect
19. #41×Dic106C2semidirect
20. #20288293C2semidirect
21. #20288144C2semidirect
22. #20288142C2semidirect
23. #20288011C2semidirect
24. #20288007C2semidirect
25. C4×#13133264C2semidirect
26. C22×C4×Dic106C2semidirect
27. C53×#3444C2semidirect
30. #16811359C22semidirect
31. #16811358C22semidirect
32. #16811356C22semidirect
33. #16811355C22semidirect
34. Q8×Dic106C22semidirect
35. #16811353C22semidirect
36. #16811352C22semidirect
37. #16811351C22semidirect
38. #16811351C22semidirect
39. #16811350C22semidirect
40. #16811350C22semidirect
41. #16811349C22semidirect
42. #16811348C22semidirect
43. #16811348C22semidirect
44. #16811347C22semidirect
45. #16811346C22semidirect
46. #16811345C22semidirect
47. #16811343C22semidirect
48. #16811342C22semidirect
49. #16811342C22semidirect
50. #16811341C22semidirect
51. #16811340C22semidirect
52. #16811334C22semidirect
54. #16811332C22semidirect
57. #16811330C22semidirect
58. #16811329C22semidirect
66. #16811313C22semidirect
67. #16811311C22semidirect
69. #16811309C22semidirect
71. #16811306C22semidirect
72. #16811294C22semidirect
73. #16811293C22semidirect
76. D4×Dic106C22semidirect
77. #16811288C22semidirect
82. #16811282C22semidirect
83. #16811281C22semidirect
92. #16811244C22semidirect
93. #16811239C22semidirect
94. #16811238C22semidirect
95. #16811237C22semidirect
96. #16811235C22semidirect
97. #16811232C22semidirect
98. #16811231C22semidirect
99. #16811230C22semidirect
112. #16811180C22semidirect
113. #16811177C22semidirect
114. #16811177C22semidirect
116. #16811176C22semidirect
133. #16811157C22semidirect
134. #16811155C22semidirect
139. #16811153C22semidirect
140. #16811151C22semidirect
150. #16811103C22semidirect
152. #16811102C22semidirect
154. #16811100C22semidirect
155. #16811099C22semidirect
160. C4×#11719945C22semidirect
164. C4×#11719947C22semidirect
179. C2×C4×Dic106C22semidirect
180. C4×Q8×D53C22semidirect
609. C2×Dic106#41semidirect
768. C2×C4×C532−1+4semidirect
889. #3444D53semidirect
1075. C53#62788semidirect
1682. C2×C4#13133264semidirect

Maximal subgroups

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

subgroupindex
#202888092
#202888032
#202887982
#202887922
#202887042
#202886982
#202885822
#202885772
#202885712
#202885202
#202884812
#202884212
#202884162
#202883622
#202883302
#202883282
#202883122
#202883082
#41×Dic1062
#202882932
#202881442
#202881422
#202880112
#202880072
C4×#131332642
C22×C4×Dic1062
C53×#34442
#6278853