Finite Group Databasebeta

← D53×#3345 #28262647

Subgroups — D53×#3345 #28262647

Order 13568.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#553×D53C211yesmaximal, characteristic, complemented
2#547×D53C211yesmaximal, characteristic, complemented
3#20287192C211yesmaximal, characteristic, complemented
4#20287191C211yesmaximal, characteristic, complemented
5#20287190C211yesmaximal, characteristic, complemented
6#20287189C211yesmaximal, characteristic, complemented
7#20287188C211yesmaximal, characteristic, complemented
8#20287187C211yesmaximal, characteristic, complemented
9#20287186C211yesmaximal, characteristic, complemented
10#20287185C211yesmaximal, characteristic, complemented
11#20287184C211yesmaximal, characteristic, complemented
12#20287183C211yesmaximal, characteristic, complemented
13#20287182C211yesmaximal, characteristic, complemented
14#20287181C211yesmaximal, characteristic, complemented
15#20287180C211yesmaximal, characteristic, complemented
16#20287179C211yesmaximal, characteristic, complemented
17#20287178C211yesmaximal, characteristic, complemented
18#501×D53C211yesmaximal, characteristic, complemented
19#481×D53C211yesmaximal, characteristic, complemented
20#481×D53C211yesmaximal, characteristic, complemented
21#482×D53C211yesmaximal, characteristic, complemented
22#480×D53C211yesmaximal, characteristic, complemented
23#478×D53C211yesmaximal, characteristic, complemented
24#476×D53C211yesmaximal, characteristic, complemented
25#469×D53C211yesmaximal, characteristic, complemented
26#466×D53C211yesmaximal, characteristic, complemented
27#442×D53C211yesmaximal, characteristic, complemented
28#435×D53C211yesmaximal, characteristic, complemented
29#428×D53C211yesmaximal, characteristic, complemented
30C2×#106×D53C211yesmaximal, characteristic, complemented
31C53×#3345C211yesmaximal, characteristic, complemented
32C2×#41×D53—21no—
33C2×D8×D53C2211yescharacteristic
34C2×M16×D53C2211yescharacteristic
35C22×C8×D53C2211yescharacteristic
36#16811326C2211yescharacteristic, complemented
37#16811325C2211yescharacteristic, complemented
38#16811324—21no—
39#16811323C2211yescharacteristic, complemented
40#16811322—21no—
41#16811321C2211yescharacteristic, complemented
42#16811320C2211yescharacteristic, complemented
43#16811319C2211yescharacteristic, complemented
44#16811318—21no—
45#16811317C2211yescharacteristic, complemented
46#16811316—21no—
47#16811278C2211yescharacteristic, complemented
48#16811277C2211yescharacteristic, complemented
49#16811276C2211yescharacteristic, complemented
50#16811275—21no—
51#16811274C2211yescharacteristic, complemented
52#16811274C2211yescharacteristic, complemented
53#16811273C2211yescharacteristic, complemented
54#16811273C2211yescharacteristic, complemented
55#16811272—21no—
56#16811271—21no—
57#16811271—21no—
58C4⋊Q8×D53C2211yescharacteristic
59#126×D53—21no—
60#125×D53C2211yescharacteristic
61#123×D53—21no—
62#123×D53—21no—
63#123×D53—21no—
64C22⋊Q8×D53—21no—
65#121×D53—21no—
66#121×D53C2211yescharacteristic
67#121×D53C2211yescharacteristic
68#121×D53C2211yescharacteristic
69#121×D53C2211yescharacteristic
70C4×D4×D53—21no—
71C4×D4×D53C2211yescharacteristic
72C4×D4×D53C2211yescharacteristic
73C4×D4×D53C2211yescharacteristic
74#117×D53C2211yescharacteristic
75C2×C4⋊C4×D53C2211yescharacteristic
76C2×C4⋊C4×D53C2211yescharacteristic
77C2×C4⋊C4×D53C2211yescharacteristic
78#16811033C2211yescharacteristic, complemented
79#16811032C2211yescharacteristic, complemented
80#16811031C2211yescharacteristic, complemented
81#16811031C2211yescharacteristic, complemented
82#16811030C2211yescharacteristic, complemented
83#16811030C2211yescharacteristic, complemented
84#16811029C2211yescharacteristic, complemented
85#16810950C2211yescharacteristic, complemented
86#16810949C2211yescharacteristic, complemented
87#16810948C2211yescharacteristic, complemented
88#16810947C2211yescharacteristic, complemented
89#16810946C2211yescharacteristic, complemented
90#16810945C2211yescharacteristic, complemented
91#16810944C2211yescharacteristic, complemented
92#16810943C2211yescharacteristic, complemented
93#16810943C2211yescharacteristic, complemented
94#16810943C2211yescharacteristic, complemented
95#16810943C2211yescharacteristic, complemented
96#16810942C2211yescharacteristic, complemented
97#16810942C2211yescharacteristic, complemented
98#16810941C2211yescharacteristic, complemented
99#16810941C2211yescharacteristic, complemented
100#16810940C2211yescharacteristic, complemented
101#16810940C2211yescharacteristic, complemented
102#16810940C2211yescharacteristic, complemented
103#16810940C2211yescharacteristic, complemented
104#16810939C2211yescharacteristic, complemented
105#16810939C2211yescharacteristic, complemented
106#16810938C2211yescharacteristic, complemented
107#16810938C2211yescharacteristic, complemented
108#16810937C2211yescharacteristic, complemented
109#16810936C2211yescharacteristic, complemented
110#16810935C2211yescharacteristic, complemented
111#16810935C2211yescharacteristic, complemented
112#16810934C2211yescharacteristic, complemented
113#16810926C2211yescharacteristic, complemented
114#16810925C2211yescharacteristic, complemented
115#16810924C2211yescharacteristic, complemented
116#16810923C2211yescharacteristic, complemented
117#16810922C2211yescharacteristic, complemented
118#16810921C2211yescharacteristic, complemented
119#16810920C2211yescharacteristic, complemented
120#16810914C2211yescharacteristic, complemented
121#16810913C2211yescharacteristic, complemented
122#16810912C2211yescharacteristic, complemented
123#16810912C2211yescharacteristic, complemented
124#16810911C2211yescharacteristic, complemented
125#16810911C2211yescharacteristic, complemented
126#16810910C2211yescharacteristic, complemented
127#16810877C2211yescharacteristic, complemented
128#16810876C2211yescharacteristic, complemented
129#16810875C2211yescharacteristic, complemented
130#16810875C2211yescharacteristic, complemented
131#16810874C2211yescharacteristic, complemented
132#16810874C2211yescharacteristic, complemented
133#16810873C2211yescharacteristic, complemented
134#16810860C2211yescharacteristic, complemented
135#16810859C2211yescharacteristic, complemented
136#16810858C2211yescharacteristic, complemented
137#16810858C2211yescharacteristic, complemented
138#16810857C2211yescharacteristic, complemented
139#16810857C2211yescharacteristic, complemented
140#16810856C2211yescharacteristic, complemented
141#16810736C2211yescharacteristic, complemented
142#16810735C2211yescharacteristic, complemented
143#16810734C2211yescharacteristic, complemented
144#16810733C2211yescharacteristic, complemented
145#16810733C2211yescharacteristic, complemented
146#16810732C2211yescharacteristic, complemented
147#16810732C2211yescharacteristic, complemented
148#16810697C2211yescharacteristic, complemented
149#16810696C2211yescharacteristic, complemented
150#16810695C2211yescharacteristic, complemented
151#16810694C2211yescharacteristic, complemented
152#16810693C2211yescharacteristic, complemented
153#16810692C2211yescharacteristic, complemented
154#16810691C2211yescharacteristic, complemented
155#16810666C2211yescharacteristic, complemented
156#16810665C2211yescharacteristic, complemented
157#16810664C2211yescharacteristic, complemented
158#16810664C2211yescharacteristic, complemented
159#16810663C2211yescharacteristic, complemented
160#16810662C2211yescharacteristic, complemented
161#16810662C2211yescharacteristic, complemented
162#107×D53C2211yescharacteristic
163#107×D53C2211yescharacteristic
164#107×D53C2211yescharacteristic
165C2×#13133149C2211yescharacteristic, complemented
166C2×#13133148C2211yescharacteristic, complemented
167C2×#13133148C2211yescharacteristic, complemented
168#106×D53C2211yescharacteristic
169#106×D53C2211yescharacteristic
170#106×D53C2211yescharacteristic
171#106×D53C2211yescharacteristic
172#106×D53C2211yescharacteristic
173#106×D53C2211yescharacteristic
174#106×D53C2211yescharacteristic, complemented
175#106×D53C2211yescharacteristic, complemented
176#106×D53C2211yescharacteristic, complemented
177#106×D53C2211yescharacteristic, complemented
178C4⋊C8×D53C2211yescharacteristic
179#102×D53C2211yescharacteristic
180#102×D53C2211yescharacteristic
181#102×D53C2211yescharacteristic
182#102×D53C2211yescharacteristic
183#102×D53C2211yescharacteristic
184#102×D53C2211yescharacteristic
185C22⋊C8×D53C2211yescharacteristic
186C22⋊C8×D53C2211yescharacteristic
187#97×D53C2211yescharacteristic
188C53×#553C2211yescharacteristic, complemented
189C53×#547C2211yescharacteristic, complemented
190C53×#501C2211yescharacteristic, complemented
191C53×#482C2211yescharacteristic, complemented
192C53×#481C2211yescharacteristic, complemented
193C53×#481C2211yescharacteristic, complemented
194C53×#480C2211yescharacteristic, complemented
195C53×#478C2211yescharacteristic, complemented
196C53×#476C2211yescharacteristic, complemented
197C53×#469C2211yescharacteristic, complemented
198C53×#466C2211yescharacteristic, complemented
199C53×#442C2211yescharacteristic, complemented
200C53×#435C2211yescharacteristic, complemented
201C53×#428C2211yescharacteristic, complemented
202C2×#106×C53C2211yescharacteristic, complemented
203C2×#11719949—21no—
204C2×#11719945—21no—
205C2×#11719945—21no—
206C2×#11719945—21no—
207C2×#11719947—21no—
208C2×#11719947—21no—
209C2×#11719947—21no—
210#41×D53—48no—
211C2×Q8×D53—21no—
212C2×D4×D53—21no—
213C2×D4×D53—21no—
214C2×D4×D53—21no—
215C2×D4×D53—21no—
216C2×D4×D53D411yescharacteristic
217C2×D4×D53C2311yescharacteristic
218C2×D4×D53C2311yescharacteristic
219C22×C4×D53—21no—
220C22×C4×D53—21no—
221C22×C4×D53—21no—
222C22×C4×D53—21no—
223C22×C4×D53—21no—
224C22×C4×D53C2311yescharacteristic
225C22×C4×D53C2311yescharacteristic
226C2×D424C2311yescharacteristic
227C2×#11719922C2311yescharacteristic
228C2×#11719922C2311yescharacteristic
229D8×D53—24no—
230C2×#11719917C2311yescharacteristic
231C2×#11719912C2311yescharacteristic
232C2×#11719912C2311yescharacteristic
233M16×D53—24no—
234C22×#88322C2311yescharacteristic
235C2×C8×D53—24no—
236C2×C8×D53C2311yescharacteristic
237C2×C8×D53C2311yescharacteristic
238C2×C8×D53C2311yescharacteristic
239C2×C8×D53C2311yescharacteristic
240C2×C8×D53C2311yescharacteristic
241C2×C8×D53C2311yescharacteristic
242#13133217C2311yescharacteristic
243#13133216—21no—
244#13133216C2311yescharacteristic
245#13133216C2311yescharacteristic
246#13133215—21no—
247#13133212—21no—
248#13133212—21no—
249#13133212—21no—
250#13133211—21no—
251#13133210—21no—
252#13133210—21no—
253#13133210—21no—
254#13133209C2311yescharacteristic
255#13133208C2311yescharacteristic
256#13133208C2311yescharacteristic
257#13133207—21no—
258#13133207—21no—
259#13133202—21no—
260#13133202—21no—
261#13133202—21no—
262#13133202—21no—
263#13133202—21no—
264#13133202—21no—
265#13133201—21no—
266#13133201—21no—
267#13133201—21no—
268#13133200—21no—
269#13133200—21no—
270#13133200—21no—
271#13133199—21no—
272#13133199—21no—
273#13133199—21no—
274#13133199—21no—
275#13133199—21no—
276#13133199—21no—
277#13133198—21no—
278#13133198—21no—
279#13133198—21no—
280#13133197—21no—
281#13133196—21no—
282#13133195—21no—
283#13133195—21no—
284#13133194—21no—
285#13133194—21no—
286#13133193—21no—
287#13133192—21no—
288#13133192C2311yescharacteristic
289#13133192C2311yescharacteristic
290#13133192C2311yescharacteristic
291#13133192C2311yescharacteristic
292#13133191—21no—
293#13133191C2311yescharacteristic
294#13133191C2311yescharacteristic
295#13133191C2311yescharacteristic
296#13133191C2311yescharacteristic
297#13133190—21no—
298#13133190—21no—
299#13133190—21no—
300#13133190—21no—
301#13133190—21no—
302#13133190—21no—
303#13133189—21no—
304#13133189—21no—
305#13133189—21no—
306#13133189—21no—
307#13133189—21no—
308#13133189—21no—
309#13133188—21no—
310#13133188C2311yescharacteristic
311#13133188C2311yescharacteristic
312#13133188C2311yescharacteristic
313#13133188C2311yescharacteristic
314C4×D212—21no—
315C4×D212C2311yescharacteristic
316C4×D212C2311yescharacteristic
317C4×D212C2311yescharacteristic
318D4×Dic53—21no—
319D4×Dic53D411yescharacteristic
320D4×Dic53C2311yescharacteristic
321D4×Dic53C2311yescharacteristic
322#13133179—21no—
323#13133179D411yescharacteristic
324#13133179C2311yescharacteristic
325#13133179C2311yescharacteristic
326C4×C22⋊D53—21no—
327C4×C22⋊D53—21no—
328C4×C22⋊D53—21no—
329C4×C22⋊D53—21no—
330C4×C22⋊D53C2311yescharacteristic
331C4×C22⋊D53C2311yescharacteristic
332#13133177—21no—
333#13133177—21no—
334#13133177—21no—
335#13133177—21no—
336#13133177D411yescharacteristic
337#13133177D411yescharacteristic
338#13133176C2311yescharacteristic
339#13133175C2311yescharacteristic
340#13133175C2311yescharacteristic
341#13133174—21no—
342#13133173—21no—
343C2×C4⋊Dic53C2311yescharacteristic
344C2×C4⋊Dic53C2311yescharacteristic
345C2×C4⋊Dic53C2311yescharacteristic
346C2×#11719919—21no—
347C2×#11719919—21no—
348C2×#11719919—21no—
349C4⋊C4×D53—21no—
350C4⋊C4×D53—21no—
351C4⋊C4×D53—21no—
352C4⋊C4×D53—21no—
353C4⋊C4×D53—21no—
354C4⋊C4×D53—21no—
355C4⋊C4×D53—21no—
356C4⋊C4×D53—21no—
357C4⋊C4×D53—21no—
358C4⋊C4×D53D411yescharacteristic
359C4⋊C4×D53C2311yescharacteristic
360C4⋊C4×D53C2311yescharacteristic
361C4⋊C4×D53C2311yescharacteristic
362C4⋊C4×D53C2311yescharacteristic
363C4⋊C4×D53C2311yescharacteristic
364C4⋊C4×D53C2311yescharacteristic
365C4⋊C4×D53C2311yescharacteristic
366C4⋊C4×D53C2311yescharacteristic
367C4⋊C4×D53C2311yescharacteristic
368C4⋊C4×D53C2311yescharacteristic
369C4⋊C4×D53C2311yescharacteristic
370C4⋊C4×D53C2311yescharacteristic
371C22⋊C4×D53—21no—
372C22⋊C4×D53—21no—
373C22⋊C4×D53—21no—
374C22⋊C4×D53—21no—
375C22⋊C4×D53—21no—
376C22⋊C4×D53—21no—
377C22⋊C4×D53—21no—
378C22⋊C4×D53D411yescharacteristic
379C22⋊C4×D53D411yescharacteristic
380C42×D53—21no—
381C42×D53C2311yescharacteristic
382#13133151C2311yescharacteristic
383#13133151C2311yescharacteristic
384#13133151C2311yescharacteristic
385#13133150C2311yescharacteristic
386#13133150C2311yescharacteristic
387#13133150C2311yescharacteristic
388#13133150C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133149C2311yescharacteristic
392#13133149C2311yescharacteristic
393#13133149C2311yescharacteristic
394#13133149C2311yescharacteristic
395#13133149C2311yescharacteristic
396#13133149C2311yescharacteristic
397#13133148C2311yescharacteristic
398#13133148C2311yescharacteristic
399#13133148C2311yescharacteristic
400#13133148C2311yescharacteristic
401#13133148C2311yescharacteristic
402#13133148C2311yescharacteristic
403#13133148C2311yescharacteristic
404#13133148C2311yescharacteristic
405#13133148C2311yescharacteristic
406#13133148C2311yescharacteristic
407#13133148C2311yescharacteristic
408#13133148C2311yescharacteristic
409C4⋊#88322C2311yescharacteristic
410#13133146C2311yescharacteristic
411#13133146C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133137C2311yescharacteristic
430C22⋊#88322C2311yescharacteristic
431C22⋊#88322C2311yescharacteristic
432#13133129C2311yescharacteristic
433#13133129C2311yescharacteristic
434#13133129C2311yescharacteristic
435#13133129C2311yescharacteristic
436#13133128C2311yescharacteristic
437#13133127C2311yescharacteristic
438#13133127C2311yescharacteristic
439C2×#41×C53—21no—
440C2×D8×C53C2311yescharacteristic
441C2×M16×C53C2311yescharacteristic
442C22×C8×C53C2311yescharacteristic
443C4⋊Q8×C53C2311yescharacteristic
444#126×C53—21no—
445#125×C53C2311yescharacteristic
446#123×C53—21no—
447#123×C53—21no—
448#123×C53—21no—
449C22⋊Q8×C53—21no—
450#121×C53—21no—
451#121×C53C2311yescharacteristic
452#121×C53C2311yescharacteristic
453#121×C53C2311yescharacteristic
454#121×C53C2311yescharacteristic
455C4×D4×C53—21no—
456C4×D4×C53C2311yescharacteristic
457C4×D4×C53C2311yescharacteristic
458C4×D4×C53C2311yescharacteristic
459#117×C53C2311yescharacteristic
460C2×C4⋊C4×C53C2311yescharacteristic
461C2×C4⋊C4×C53C2311yescharacteristic
462C2×C4⋊C4×C53C2311yescharacteristic
463#107×C53C2311yescharacteristic
464#107×C53C2311yescharacteristic
465#107×C53C2311yescharacteristic
466#106×C53C2311yescharacteristic
467#106×C53C2311yescharacteristic
468#106×C53C2311yescharacteristic
469#106×C53C2311yescharacteristic
470#106×C53C2311yescharacteristic
471#106×C53C2311yescharacteristic
472C4⋊C8×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478#102×C53C2311yescharacteristic
479C22⋊C8×C53C2311yescharacteristic
480C22⋊C8×C53C2311yescharacteristic
481#97×C53C2311yescharacteristic
482C23×D53—21no—
483C23×D53—21no—
484C23×D53C2×D411yescharacteristic
485C23×D53C2×D411yescharacteristic
486#41×C53—44no—
487C2×Q8×C53—21no—
488C2×D4×C53—21no—
489C2×D4×C53—21no—
490C2×D4×C53—21no—
491C2×D4×C53—21no—
492C2×D4×C53C2×D411yescharacteristic
493C2×D4×C53C2411yescharacteristic
494C2×D4×C53C2411yescharacteristic
495C22×C4×C53—21no—
496C22×C4×C53—21no—
497C22×C4×C53—21no—
498C22×C4×C53—21no—
499C22×C4×C53—21no—
500C22×C4×C53C2411yescharacteristic
501C22×C4×C53C2411yescharacteristic
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C2×C22⋊D53—21no—
505C2×C22⋊D53—21no—
506C2×C22⋊D53—21no—
507C2×C22⋊D53—21no—
508C2×C22⋊D53—21no—
509C2×C22⋊D53—21no—
510C2×C22⋊D53—21no—
511C2×C22⋊D53—21no—
512C2×C22⋊D53C2×D411yescharacteristic
513C2×C22⋊D53C2×D411yescharacteristic
514C22×Dic53—21no—
515C22×Dic53—21no—
516C22×Dic53—21no—
517C22×Dic53—21no—
518C22×Dic53—21no—
519C22×Dic53C2×D411yescharacteristic
520C22×Dic53C2×D411yescharacteristic
521#11719949—44no—
522Q8×D53—44no—
523#11719947—44no—
524#11719947—44no—
525#11719947—44no—
526D4×D53—24no—
527D4×D53—22no—
528D4×D53—22no—
529D4×D53—22no—
530D4×D53—22no—
531D4×D53—44no—
532D4×D53—44no—
533D4×D53—44no—
534D4×D53—82no—
535#11719945—44no—
536#11719945—44no—
537#11719945—44no—
538C2×D212—21no—
539C2×D212—21no—
540C2×D212—21no—
541C2×D212—21no—
542C2×D212C2×D411yescharacteristic
543C2×D212C2411yescharacteristic
544C2×D212C2411yescharacteristic
545C2×C4×D53—22no—
546C2×C4×D53—22no—
547C2×C4×D53—22no—
548C2×C4×D53—22no—
549C2×C4×D53—21no—
550C2×C4×D53—21no—
551C2×C4×D53—21no—
552C2×C4×D53—21no—
553C2×C4×D53—21no—
554C2×C4×D53—21no—
555C2×C4×D53—21no—
556C2×C4×D53—21no—
557C2×C4×D53—21no—
558C2×C4×D53—21no—
559C2×C4×D53—21no—
560C2×C4×D53—21no—
561C2×C4×D53—21no—
562C2×C4×D53—21no—
563C2×C4×D53—21no—
564C2×C4×D53—21no—
565C2×C4×D53—44no—
566C2×C4×D53—44no—
567C2×C4×D53—44no—
568C2×C4×D53—82no—
569C2×C4×D53—82no—
570C2×C4×D53C2×D411yescharacteristic
571C2×C4×D53C2×D411yescharacteristic
572C2×C4×D53C2×D411yescharacteristic
573C2×C4×D53C2×D411yescharacteristic
574C2×C4×D53C2×D411yescharacteristic
575C2×C4×D53C2×D411yescharacteristic
576C2×C4×D53C2411yescharacteristic
577C2×C4×D53C2411yescharacteristic
578C2×C4×D53C2411yescharacteristic
579C2×Dic106—21no—
580C2×Dic106—21no—
581C2×Dic106—21no—
582D8×C53—22no—
583M16×C53—22no—
584C2×C8×C53—22no—
585C2×C8×C53C2411yescharacteristic
586C2×C8×C53C2411yescharacteristic
587C2×C8×C53C2411yescharacteristic
588C2×C8×C53C2411yescharacteristic
589C4⋊C4×C53—21no—
590C4⋊C4×C53—21no—
591C4⋊C4×C53—21no—
592C4⋊C4×C53—21no—
593C4⋊C4×C53—21no—
594C4⋊C4×C53—21no—
595C4⋊C4×C53C2×D411yescharacteristic
596C4⋊C4×C53C2411yescharacteristic
597C4⋊C4×C53C2411yescharacteristic
598C4⋊C4×C53C2411yescharacteristic
599C4⋊C4×C53C2411yescharacteristic
600C4⋊C4×C53C2411yescharacteristic
601C4⋊C4×C53C2411yescharacteristic
602C22⋊C4×C53—21no—
603C22⋊C4×C53—21no—
604C22⋊C4×C53—21no—
605C22⋊C4×C53—21no—
606C22⋊C4×C53—21no—
607C22⋊C4×C53—21no—
608C22⋊C4×C53—21no—
609C22⋊C4×C53C2×D411yescharacteristic
610C22⋊C4×C53C2×D411yescharacteristic
611C42×C53—21no—
612C42×C53C2411yescharacteristic
613C22⋊Dic53—21no—
614C22⋊Dic53—21no—
615C22⋊Dic53—21no—
616C22⋊Dic53—21no—
617C22⋊Dic53—21no—
618C22⋊Dic53—21no—
619C22⋊Dic53—21no—
620C22⋊Dic53C2×D411yescharacteristic
621C22⋊Dic53C2×D411yescharacteristic
622#11719922—22no—
623#11719922—22no—
624#11719921—21no—
625#11719921—21no—
626#11719921—21no—
627#11719921—21no—
628#11719921—21no—
629#11719921—21no—
630#11719921—21no—
631#11719921—21no—
632#11719921—21no—
633#11719921—21no—
634#11719921—21no—
635#11719921—21no—
636#11719921—21no—
637#11719921—21no—
638#11719921C2×D411yescharacteristic
639#11719921C2×D411yescharacteristic
640#11719921C2×D411yescharacteristic
641#11719921C2×D411yescharacteristic
642C4⋊Dic53—21no—
643C4⋊Dic53—21no—
644C4⋊Dic53—21no—
645C4⋊Dic53—21no—
646C4⋊Dic53—21no—
647C4⋊Dic53—21no—
648C4⋊Dic53C2×D411yescharacteristic
649C4⋊Dic53C2411yescharacteristic
650C4⋊Dic53C2411yescharacteristic
651C4⋊Dic53C2411yescharacteristic
652C4⋊Dic53C2411yescharacteristic
653C4⋊Dic53C2411yescharacteristic
654C4⋊Dic53C2411yescharacteristic
655#11719919—21no—
656#11719919—21no—
657#11719919—21no—
658#11719919—21no—
659#11719919—21no—
660#11719919—21no—
661#11719919—21no—
662#11719919—21no—
663#11719919—21no—
664#11719919—21no—
665#11719919—21no—
666#11719919—21no—
667#11719919—21no—
668#11719919—21no—
669#11719919—21no—
670#11719919—21no—
671#11719919—21no—
672#11719919—21no—
673#11719919C2×D411yescharacteristic
674#11719919C2×D411yescharacteristic
675C4×Dic53—21no—
676C4×Dic53—21no—
677C4×Dic53—21no—
678C4×Dic53C2×D411yescharacteristic
679C4×Dic53C2×D411yescharacteristic
680C4×Dic53C2411yescharacteristic
681#11719917—22no—
682C2×#88322—22no—
683C2×#88322C2411yescharacteristic
684C2×#88322C2411yescharacteristic
685C2×#88322C2411yescharacteristic
686C2×#88322C2411yescharacteristic
687D424—22no—
688#11719912—22no—
689#11719912—22no—
690C8×D53—22no—
691C8×D53—22no—
692C8×D53—22no—
693C8×D53—22no—
694C8×D53—22no—
695C8×D53#4114yescomplemented
696C23×C53—21no—
697C23×C53—21no—
698C23×C53C22×D411yescharacteristic
699C23×C53C22×D411yescharacteristic
700C22×D53—22no—
701C22×D53—22no—
702C22×D53—22no—
703C22×D53—22no—
704C22×D53—22no—
705C22×D53—21no—
706C22×D53—21no—
707C22×D53—42no—
708C22×D53—42no—
709C22×D53—42no—
710C22×D53—42no—
711C22×D53—42no—
712C22×D53—42no—
713C22×D53AGL(1,ℤ/8)14yes—
714C22×D53C22×D411yescharacteristic
715C22×D53C22×D411yescharacteristic
716C22×D53C22×D411yescharacteristic
717Q8×C53—42no—
718D4×C53—22no—
719D4×C53—21no—
720D4×C53—21no—
721D4×C53—21no—
722D4×C53—21no—
723D4×C53—42no—
724D4×C53—42no—
725D4×C53—42no—
726D4×C53—81no—
727C2×C4×C53—21no—
728C2×C4×C53—21no—
729C2×C4×C53—21no—
730C2×C4×C53—21no—
731C2×C4×C53—21no—
732C2×C4×C53—21no—
733C2×C4×C53—21no—
734C2×C4×C53—21no—
735C2×C4×C53—21no—
736C2×C4×C53—21no—
737C2×C4×C53—42no—
738C2×C4×C53—42no—
739C2×C4×C53—42no—
740C2×C4×C53—81no—
741C2×C4×C53—81no—
742C2×C4×C53C22×D411yescharacteristic
743C2×C4×C53C22×D411yescharacteristic
744C2×C4×C53C22×D411yescharacteristic
745C2×C4×C53C22×D411yescharacteristic
746C2×C4×C53C2511yescharacteristic
747C22⋊D53—22no—
748C22⋊D53—22no—
749C22⋊D53—42no—
750C22⋊D53—42no—
751C22⋊D53—42no—
752C22⋊D53—42no—
753C22⋊D53—42no—
754C22⋊D53—42no—
755C22⋊D53—42no—
756C22⋊D53—42no—
757C22⋊D53—81no—
758C22⋊D53—81no—
759C2×Dic53—22no—
760C2×Dic53—22no—
761C2×Dic53—21no—
762C2×Dic53—21no—
763C2×Dic53—21no—
764C2×Dic53—21no—
765C2×Dic53—21no—
766C2×Dic53—21no—
767C2×Dic53—42no—
768C2×Dic53—42no—
769C2×Dic53—42no—
770C2×Dic53—81no—
771C2×Dic53—81no—
772C2×Dic53C22×D411yescharacteristic
773C2×Dic53C22×D411yescharacteristic
774C2×Dic53C22×D411yescharacteristic
775C2×Dic53C22×D411yescharacteristic
776C2×Dic53C22×D411yescharacteristic
777D212—22no—
778D212—21no—
779D212—21no—
780D212—21no—
781D212—21no—
782D212—42no—
783D212—42no—
784D212—42no—
785D212—81no—
786C4×D53—22no—
787C4×D53—22no—
788C4×D53—22no—
789C4×D53—22no—
790C4×D53—21no—
791C4×D53—21no—
792C4×D53—21no—
793C4×D53—21no—
794C4×D53—22no—
795C4×D53—22no—
796C4×D53—42no—
797C4×D53—42no—
798C4×D53—42no—
799C4×D53—42no—
800C4×D53—42no—
801C4×D53—42no—
802C4×D53—42no—
803C4×D53—42no—
804C4×D53—42no—
805C4×D53—42no—
806C4×D53—42no—
807C4×D53—42no—
808C4×D53—81no—
809C4×D53—81no—
810C4×D53—81no—
811C4×D53—81no—
812C4×D53C2×#4112yes—
813C4×D532−1+412yes—
814Dic106—42no—
815Dic106—42no—
816Dic106—42no—
817C8×C53—21no—
818C8×C53—21no—
819C8×C53—21no—
820C8×C53C2×#4112yescomplemented
821#88322—21no—
822#88322—21no—
823#88322—21no—
824#88322C2×#4112yescomplemented
825C2×#3345—531nomaximal, Sylow
826C22×C53—21no—
827C22×C53—21no—
828C22×C53—21no—
829C22×C53—21no—
830C22×C53—21no—
831C22×C53—41no—
832C22×C53—41no—
833C22×C53—41no—
834C22×C53—41no—
835C22×C53—41no—
836C22×C53—41no—
837C22×C53C2×AGL(1,ℤ/8)12yes—
838C22×C53C23×D411yescharacteristic
839C2×D53—21no—
840C2×D53—21no—
841C2×D53—28no—
842C2×D53—21no—
843C2×D53—21no—
844C2×D53—21no—
845C2×D53—44no—
846C2×D53—41no—
847C2×D53—41no—
848C2×D53—41no—
849C2×D53—41no—
850C2×D53—41no—
851C2×D53—41no—
852C2×D53—84no—
853C2×D53—84no—
854C2×D53#54712yes—
855C2×D53C2×AGL(1,ℤ/8)12yes—
856C2×D53C2×AGL(1,ℤ/8)12yes—
857C2×D53#57712yes—
858C4×C53—21no—
859C4×C53—21no—
860C4×C53—21no—
861C4×C53—21no—
862C4×C53—41no—
863C4×C53—41no—
864C4×C53—41no—
865C4×C53—41no—
866C4×C53—41no—
867C4×C53—41no—
868C4×C53C22×#4111yescharacteristic
869C4×C53C2×2−1+411yescharacteristic
870Dic53—21no—
871Dic53—21no—
872Dic53—21no—
873Dic53—21no—
874Dic53—41no—
875Dic53—41no—
876Dic53—41no—
877Dic53—41no—
878Dic53—41no—
879Dic53—41no—
880Dic53#54712yes—
881C2×#553—531no—
882C2×#547—531no—
883#3345—531no—
884#3345—531no—
885#3345—531no—
886#3345—531no—
887#3345—531no—
888#3345—531no—
889#3345—531no—
890#3345—531no—
891#3345—531no—
892#3345—531no—
893#3345—531no—
894#3345—531no—
895#3345—531no—
896#3345—531no—
897#3345—531no—
898#3345D5311yescharacteristic, direct product factor
899C2×#501—531no—
900C2×#481—531no—
901C2×#481—531no—
902C2×#482—531no—
903C2×#480—531no—
904C2×#478—531no—
905C2×#476—531no—
906C2×#469—531no—
907C2×#466—531no—
908C2×#442—531no—
909C2×#435—531no—
910C2×#428—531no—
911C22×#106—531no—
912C2×C53—22no—
913C2×C53—41no—
914C2×C53—81no—
915C2×C53—81no—
916C2×C53C2×#54711yescharacteristic
917C2×C53C22×AGL(1,ℤ/8)11yescharacteristic
918C2×C53C2×#57711yescharacteristic
919D53—22no—
920D53—41no—
921D53—81no—
922D53—81no—
923D53#334514yesdirect product factor
924C22×#41—1061no—
925C22×D8—531no—
926C22×M16—531no—
927C23×C8—531no—
928#553—531no—
929#553—531no—
930#553—531no—
931#553—531no—
932#553—531no—
933#553—531no—
934#553—531no—
935#553—1061no—
936#553—1061no—
937#553—1061no—
938#553—1061no—
939#553C2×D5311yescharacteristic, complemented
940#547—531no—
941#547—531no—
942#547—531no—
943#547—531no—
944#547—531no—
945#547—531no—
946#547—531no—
947#547—1061no—
948#547—1061no—
949#547—1061no—
950#547—1061no—
951#547C2×D5311yescharacteristic, complemented
952C2×C4⋊Q8—531no—
953C2×#126—1061no—
954C2×#125—531no—
955C2×#123—1061no—
956C2×#123—1061no—
957C2×#123—1061no—
958C2×C22⋊Q8—1061no—
959C2×#121—531no—
960C2×#121—531no—
961C2×#121—531no—
962C2×#121—531no—
963C2×#121—1061no—
964C2×C4×D4—531no—
965C2×C4×D4—531no—
966C2×C4×D4—531no—
967C2×C4×D4—1061no—
968C2×#117—531no—
969C22×C4⋊C4—531no—
970C22×C4⋊C4—531no—
971C22×C4⋊C4—531no—
972#501—531no—
973#501—531no—
974#501—531no—
975#501—531no—
976#501—531no—
977#501—531no—
978#501—531no—
979#501C2×D5311yescharacteristic, complemented
980#482—531no—
981#482—531no—
982#482—531no—
983#482—531no—
984#482—531no—
985#482—531no—
986#482—531no—
987#482C2×D5311yescharacteristic, complemented
988#481—531no—
989#481—531no—
990#481—531no—
991#481—531no—
992#481—531no—
993#481—531no—
994#481—531no—
995#481—531no—
996#481—531no—
997#481—531no—
998#481—531no—
999#481—531no—
1000#481—531no—
1001#481—531no—
1002#481C2×D5311yescharacteristic, complemented
1003#481C2×D5311yescharacteristic, complemented
1004#480—531no—
1005#480—531no—
1006#480—531no—
1007#480—531no—
1008#480—531no—
1009#480—531no—
1010#480—531no—
1011#480C2×D5311yescharacteristic, complemented
1012#478—531no—
1013#478—531no—
1014#478—531no—
1015#478—531no—
1016#478—531no—
1017#478—531no—
1018#478—531no—
1019#478C2×D5311yescharacteristic, complemented
1020#476—531no—
1021#476—531no—
1022#476—531no—
1023#476—531no—
1024#476—531no—
1025#476—531no—
1026#476—531no—
1027#476C2×D5311yescharacteristic, complemented
1028#469—531no—
1029#469—531no—
1030#469—531no—
1031#469—531no—
1032#469—531no—
1033#469—531no—
1034#469—531no—
1035#469C2×D5311yescharacteristic, complemented
1036#466—531no—
1037#466—531no—
1038#466—531no—
1039#466—531no—
1040#466—531no—
1041#466—531no—
1042#466—531no—
1043#466C2×D5311yescharacteristic, complemented
1044#442—531no—
1045#442—531no—
1046#442—531no—
1047#442—531no—
1048#442—531no—
1049#442—531no—
1050#442—531no—
1051#442C2×D5311yescharacteristic, complemented
1052#435—531no—
1053#435—531no—
1054#435—531no—
1055#435—531no—
1056#435—531no—
1057#435—531no—
1058#435—531no—
1059#435C2×D5311yescharacteristic, complemented
1060#428—531no—
1061#428—531no—
1062#428—531no—
1063#428—531no—
1064#428—531no—
1065#428—531no—
1066#428—531no—
1067#428C2×D5311yescharacteristic, complemented
1068C2×#107—531no—
1069C2×#107—531no—
1070C2×#107—531no—
1071C2×#106—531no—
1072C2×#106—531no—
1073C2×#106—531no—
1074C2×#106—531no—
1075C2×#106—531no—
1076C2×#106—531no—
1077C2×#106—531no—
1078C2×#106—531no—
1079C2×#106—531no—
1080C2×#106—531no—
1081C2×#106—531no—
1082C2×#106—531no—
1083C2×#106—531no—
1084C2×#106C2×D5311yescharacteristic, complemented
1085C2×C4⋊C8—531no—
1086C2×#102—531no—
1087C2×#102—531no—
1088C2×#102—531no—
1089C2×#102—531no—
1090C2×#102—531no—
1091C2×#102—531no—
1092C2×C22⋊C8—531no—
1093C2×C22⋊C8—531no—
1094C2×#97—531no—
1095C53C2×#334511yescharacteristic, complemented, Sylow
1096C2×#41—21no—
1097C2×#41—1061no—
1098C2×#41—1061no—
1099C2×#41—1061no—
1100C2×#41—1061no—
1101C2×#41—1061no—
1102C2×#41—1061no—
1103C2×#41—1061no—
1104C2×#41—2128no—
1105C22×Q8—1061no—
1106C22×D4—531no—
1107C22×D4—531no—
1108C22×D4—531no—
1109C22×D4—1061no—
1110C22×D4—1061no—
1111C22×D4—1061no—
1112C22×D4—1061no—
1113C23×C4—531no—
1114C23×C4—531no—
1115C23×C4—1061no—
1116C23×C4—1061no—
1117C23×C4—1061no—
1118C23×C4—1061no—
1119C23×C4—1061no—
1120C2×D8—531no—
1121C2×D8—531no—
1122C2×D8—531no—
1123C2×D8—1064no—
1124C2×D8C22×D5311yescharacteristic
1125C2×M16—531no—
1126C2×M16—531no—
1127C2×M16—531no—
1128C2×M16—1064no—
1129C2×M16C22×D5311yescharacteristic
1130C22×C8—531no—
1131C22×C8—531no—
1132C22×C8—531no—
1133C22×C8—531no—
1134C22×C8—531no—
1135C22×C8—531no—
1136C22×C8—531no—
1137C22×C8—1064no—
1138C22×C8C22×D5311yescharacteristic
1139C4⋊Q8—531no—
1140C4⋊Q8—531no—
1141C4⋊Q8—531no—
1142C4⋊Q8—1061no—
1143C4⋊Q8—1061no—
1144C4⋊Q8C22×D5311yescharacteristic
1145#126—21no—
1146#126—1061no—
1147#126—1061no—
1148#126—1061no—
1149#126—1061no—
1150#126—1061no—
1151#126—1061no—
1152#126—1061no—
1153#125—531no—
1154#125—531no—
1155#125—531no—
1156#125—1061no—
1157#125—1061no—
1158#125C22×D5311yescharacteristic
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—1061no—
1163#123—1061no—
1164#123—1061no—
1165#123—1061no—
1166#123—1061no—
1167#123—1061no—
1168#123—1061no—
1169#123—1061no—
1170#123—1061no—
1171#123—1061no—
1172#123—1061no—
1173#123—1061no—
1174#123—1061no—
1175#123—1061no—
1176#123—1061no—
1177#123—1061no—
1178#123—1061no—
1179#123—1061no—
1180#123—1061no—
1181#123—1061no—
1182#123—1061no—
1183C22⋊Q8—21no—
1184C22⋊Q8—1061no—
1185C22⋊Q8—1061no—
1186C22⋊Q8—1061no—
1187C22⋊Q8—1061no—
1188C22⋊Q8—1061no—
1189C22⋊Q8—1061no—
1190C22⋊Q8—1061no—
1191#121—21no—
1192#121—531no—
1193#121—531no—
1194#121—531no—
1195#121—531no—
1196#121—531no—
1197#121—531no—
1198#121—531no—
1199#121—531no—
1200#121—531no—
1201#121—531no—
1202#121—531no—
1203#121—531no—
1204#121—1061no—
1205#121—1061no—
1206#121—1061no—
1207#121—1061no—
1208#121—1061no—
1209#121—1061no—
1210#121—1061no—
1211#121—1061no—
1212#121—1061no—
1213#121—1061no—
1214#121—1061no—
1215#121—1061no—
1216#121—1061no—
1217#121—1061no—
1218#121—1061no—
1219#121C22×D5311yescharacteristic
1220#121C22×D5311yescharacteristic
1221#121C22×D5311yescharacteristic
1222#121C22×D5311yescharacteristic
1223C4×D4—21no—
1224C4×D4—531no—
1225C4×D4—531no—
1226C4×D4—531no—
1227C4×D4—531no—
1228C4×D4—531no—
1229C4×D4—531no—
1230C4×D4—531no—
1231C4×D4—531no—
1232C4×D4—531no—
1233C4×D4—531no—
1234C4×D4—531no—
1235C4×D4—531no—
1236C4×D4—531no—
1237C4×D4—1061no—
1238C4×D4—1061no—
1239C4×D4—1061no—
1240C4×D4—1061no—
1241C4×D4—1061no—
1242C4×D4—1061no—
1243C4×D4—1061no—
1244C4×D4—1061no—
1245C4×D4—1061no—
1246C4×D4—1061no—
1247C4×D4—1061no—
1248C4×D4C22×D5311yescharacteristic
1249C4×D4C22×D5311yescharacteristic
1250C4×D4C22×D5311yescharacteristic
1251#117—531no—
1252#117—531no—
1253#117—531no—
1254#117—1061no—
1255#117—1061no—
1256#117C22×D5311yescharacteristic
1257C2×C4⋊C4—531no—
1258C2×C4⋊C4—531no—
1259C2×C4⋊C4—531no—
1260C2×C4⋊C4—531no—
1261C2×C4⋊C4—531no—
1262C2×C4⋊C4—531no—
1263C2×C4⋊C4—531no—
1264C2×C4⋊C4—531no—
1265C2×C4⋊C4—531no—
1266C2×C4⋊C4—531no—
1267C2×C4⋊C4—531no—
1268C2×C4⋊C4—531no—
1269C2×C4⋊C4—531no—
1270C2×C4⋊C4—531no—
1271C2×C4⋊C4—531no—
1272C2×C4⋊C4—531no—
1273C2×C4⋊C4—1061no—
1274C2×C4⋊C4—1061no—
1275C2×C4⋊C4—1061no—
1276C2×C4⋊C4—1061no—
1277C2×C4⋊C4—1061no—
1278C2×C4⋊C4—1061no—
1279C2×C4⋊C4—1061no—
1280C2×C4⋊C4—1061no—
1281C2×C4⋊C4—1061no—
1282C2×C4⋊C4—1061no—
1283C2×C4⋊C4—1061no—
1284C2×C4⋊C4—1061no—
1285C2×C4⋊C4C22×D5311yescharacteristic
1286C2×C4⋊C4C22×D5311yescharacteristic
1287C2×C4⋊C4C22×D5311yescharacteristic
1288C2×C22⋊C4—531no—
1289C2×C22⋊C4—531no—
1290C2×C22⋊C4—1061no—
1291C2×C22⋊C4—1061no—
1292C2×C22⋊C4—1061no—
1293C2×C22⋊C4—1061no—
1294C2×C22⋊C4—1061no—
1295C2×C22⋊C4—1061no—
1296C2×C22⋊C4—1061no—
1297C2×C42—531no—
1298C2×C42—1061no—
1299#107—531no—
1300#107—531no—
1301#107—531no—
1302#107—531no—
1303#107—531no—
1304#107—531no—
1305#107—531no—
1306#107—531no—
1307#107—531no—
1308#107C22×D5311yescharacteristic
1309#107C22×D5311yescharacteristic
1310#107C22×D5311yescharacteristic
1311#106—531no—
1312#106—531no—
1313#106—531no—
1314#106—531no—
1315#106—531no—
1316#106—531no—
1317#106—531no—
1318#106—531no—
1319#106—531no—
1320#106—531no—
1321#106—531no—
1322#106—531no—
1323#106—531no—
1324#106—531no—
1325#106—531no—
1326#106—531no—
1327#106—531no—
1328#106—531no—
1329#106C22×D5311yescharacteristic
1330#106C22×D5311yescharacteristic
1331#106C22×D5311yescharacteristic
1332#106C22×D5311yescharacteristic
1333#106C22×D5311yescharacteristic
1334#106C22×D5311yescharacteristic
1335C4⋊C8—531no—
1336C4⋊C8—531no—
1337C4⋊C8—531no—
1338C4⋊C8C22×D5311yescharacteristic
1339#102—531no—
1340#102—531no—
1341#102—531no—
1342#102—531no—
1343#102—531no—
1344#102—531no—
1345#102—531no—
1346#102—531no—
1347#102—531no—
1348#102—531no—
1349#102—531no—
1350#102—531no—
1351#102—531no—
1352#102—531no—
1353#102—531no—
1354#102—531no—
1355#102—531no—
1356#102—531no—
1357#102C22×D5311yescharacteristic
1358#102C22×D5311yescharacteristic
1359#102C22×D5311yescharacteristic
1360#102C22×D5311yescharacteristic
1361#102C22×D5311yescharacteristic
1362#102C22×D5311yescharacteristic
1363C22⋊C8—531no—
1364C22⋊C8—531no—
1365C22⋊C8—531no—
1366C22⋊C8—531no—
1367C22⋊C8—531no—
1368C22⋊C8—531no—
1369C22⋊C8C22×D5311yescharacteristic
1370C22⋊C8C22×D5311yescharacteristic
1371#97—531no—
1372#97—531no—
1373#97—531no—
1374#97C22×D5311yescharacteristic
1375C24—531no—
1376C24—531no—
1377C24—1061no—
1378C24—1061no—
1379#41—44no—
1380#41—2124no—
1381#41—2124no—
1382#41—2124no—
1383#41—2124no—
1384#41—2124no—
1385#41—2124no—
1386#41—2124no—
1387C2×Q8—21no—
1388C2×Q8—1061no—
1389C2×Q8—1061no—
1390C2×Q8—1061no—
1391C2×Q8—2124no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—531no—
1397C2×D4—531no—
1398C2×D4—531no—
1399C2×D4—531no—
1400C2×D4—531no—
1401C2×D4—1061no—
1402C2×D4—1061no—
1403C2×D4—1061no—
1404C2×D4—1061no—
1405C2×D4—1062no—
1406C2×D4—1062no—
1407C2×D4—1062no—
1408C2×D4—1062no—
1409C2×D4—1061no—
1410C2×D4—1061no—
1411C2×D4—1064no—
1412C2×D4—1061no—
1413C2×D4—1061no—
1414C2×D4—1061no—
1415C2×D4—1061no—
1416C2×D4—1061no—
1417C2×D4—1061no—
1418C2×D4—1061no—
1419C2×D4—1061no—
1420C2×D4—4242no—
1421C2×D4—2124no—
1422C2×D4—2124no—
1423C2×D4—2124no—
1424C2×D4D4×D5311yescharacteristic
1425C2×D4C23×D5311yescharacteristic
1426C2×D4C23×D5311yescharacteristic
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—531no—
1433C22×C4—531no—
1434C22×C4—531no—
1435C22×C4—531no—
1436C22×C4—531no—
1437C22×C4—531no—
1438C22×C4—531no—
1439C22×C4—531no—
1440C22×C4—531no—
1441C22×C4—531no—
1442C22×C4—531no—
1443C22×C4—1062no—
1444C22×C4—1062no—
1445C22×C4—1062no—
1446C22×C4—1062no—
1447C22×C4—1061no—
1448C22×C4—1061no—
1449C22×C4—1061no—
1450C22×C4—1061no—
1451C22×C4—1061no—
1452C22×C4—1061no—
1453C22×C4—1061no—
1454C22×C4—1061no—
1455C22×C4—1061no—
1456C22×C4—1061no—
1457C22×C4—1061no—
1458C22×C4—1061no—
1459C22×C4—1061no—
1460C22×C4—1061no—
1461C22×C4—1061no—
1462C22×C4—1061no—
1463C22×C4—1061no—
1464C22×C4—1061no—
1465C22×C4—1061no—
1466C22×C4—1061no—
1467C22×C4—1061no—
1468C22×C4—4242no—
1469C22×C4—4242no—
1470C22×C4—2124no—
1471C22×C4—2124no—
1472C22×C4—2124no—
1473C22×C4C23×D5311yescharacteristic
1474C22×C4C23×D5311yescharacteristic
1475D8—22no—
1476D8—1062no—
1477D8—1062no—
1478D8—1062no—
1479M16—22no—
1480M16—1062no—
1481M16—1062no—
1482M16—1062no—
1483C2×C8—22no—
1484C2×C8—531no—
1485C2×C8—534no—
1486C2×C8—531no—
1487C2×C8—531no—
1488C2×C8—531no—
1489C2×C8—1062no—
1490C2×C8—1062no—
1491C2×C8—1062no—
1492C2×C8—1062no—
1493C2×C8—1062no—
1494C2×C8—1062no—
1495C2×C8C23×D5311yescharacteristic
1496C2×C8C23×D5311yescharacteristic
1497C2×C8C23×D5311yescharacteristic
1498C2×C8C23×D5311yescharacteristic
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—531no—
1506C4⋊C4—531no—
1507C4⋊C4—531no—
1508C4⋊C4—531no—
1509C4⋊C4—531no—
1510C4⋊C4—531no—
1511C4⋊C4—531no—
1512C4⋊C4—531no—
1513C4⋊C4—531no—
1514C4⋊C4—1061no—
1515C4⋊C4—1061no—
1516C4⋊C4—1061no—
1517C4⋊C4—1061no—
1518C4⋊C4—1061no—
1519C4⋊C4—1061no—
1520C4⋊C4—1061no—
1521C4⋊C4—1061no—
1522C4⋊C4—1061no—
1523C4⋊C4—1061no—
1524C4⋊C4—1061no—
1525C4⋊C4—1061no—
1526C4⋊C4—1061no—
1527C4⋊C4—1061no—
1528C4⋊C4—1061no—
1529C4⋊C4—1061no—
1530C4⋊C4—1061no—
1531C4⋊C4—1061no—
1532C4⋊C4—1061no—
1533C4⋊C4—1061no—
1534C4⋊C4—1061no—
1535C4⋊C4—1061no—
1536C4⋊C4—1061no—
1537C4⋊C4—1061no—
1538C4⋊C4D4×D5311yescharacteristic
1539C4⋊C4C23×D5311yescharacteristic
1540C4⋊C4C23×D5311yescharacteristic
1541C4⋊C4C23×D5311yescharacteristic
1542C4⋊C4C23×D5311yescharacteristic
1543C4⋊C4C23×D5311yescharacteristic
1544C4⋊C4C23×D5311yescharacteristic
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—531no—
1553C22⋊C4—531no—
1554C22⋊C4—531no—
1555C22⋊C4—531no—
1556C22⋊C4—531no—
1557C22⋊C4—531no—
1558C22⋊C4—1061no—
1559C22⋊C4—1061no—
1560C22⋊C4—1061no—
1561C22⋊C4—1061no—
1562C22⋊C4—1061no—
1563C22⋊C4—1061no—
1564C22⋊C4—1061no—
1565C22⋊C4—1061no—
1566C22⋊C4—1061no—
1567C22⋊C4—1061no—
1568C22⋊C4—1061no—
1569C22⋊C4—1061no—
1570C22⋊C4—1061no—
1571C22⋊C4—1061no—
1572C22⋊C4—1061no—
1573C22⋊C4—1061no—
1574C22⋊C4—1061no—
1575C22⋊C4—1061no—
1576C22⋊C4—1061no—
1577C22⋊C4—1061no—
1578C22⋊C4—1061no—
1579C22⋊C4D4×D5311yescharacteristic
1580C22⋊C4D4×D5311yescharacteristic
1581C42—21no—
1582C42—531no—
1583C42—531no—
1584C42—531no—
1585C42—1061no—
1586C42—1061no—
1587C42—1061no—
1588C42C23×D5311yescharacteristic
1589C23—21no—
1590C23—21no—
1591C23—531no—
1592C23—534no—
1593C23—531no—
1594C23—531no—
1595C23—1062no—
1596C23—1062no—
1597C23—1062no—
1598C23—1062no—
1599C23—1062no—
1600C23—1061no—
1601C23—1061no—
1602C23—2122no—
1603C23—2122no—
1604C23—2122no—
1605C23—2122no—
1606C23—2122no—
1607C23—2122no—
1608C23C2×D4×D5311yescharacteristic
1609C23C2×D4×D5311yescharacteristic
1610Q8—42no—
1611Q8—2122no—
1612Q8—2122no—
1613Q8—2122no—
1614D4—22no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—42no—
1620D4—42no—
1621D4—42no—
1622D4—81no—
1623D4—1062no—
1624D4—1062no—
1625D4—1062no—
1626D4—1061no—
1627D4—1061no—
1628D4—1061no—
1629D4—1061no—
1630D4—4241no—
1631D4—4241no—
1632D4—4241no—
1633D4—2122no—
1634D4—2122no—
1635D4—2122no—
1636D4—2122no—
1637D4—2122no—
1638D4—2122no—
1639D4—2122no—
1640D4—2122no—
1641D4—2122no—
1642D4—2122no—
1643D4—2122no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—42no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—531no—
1660C2×C4—532no—
1661C2×C4—532no—
1662C2×C4—531no—
1663C2×C4—531no—
1664C2×C4—531no—
1665C2×C4—531no—
1666C2×C4—1062no—
1667C2×C4—1062no—
1668C2×C4—1062no—
1669C2×C4—1062no—
1670C2×C4—1062no—
1671C2×C4—1062no—
1672C2×C4—1062no—
1673C2×C4—1062no—
1674C2×C4—1061no—
1675C2×C4—1061no—
1676C2×C4—1061no—
1677C2×C4—1061no—
1678C2×C4—1061no—
1679C2×C4—1061no—
1680C2×C4—1061no—
1681C2×C4—1061no—
1682C2×C4—1061no—
1683C2×C4—1061no—
1684C2×C4—4241no—
1685C2×C4—4241no—
1686C2×C4—4241no—
1687C2×C4—4241no—
1688C2×C4—4241no—
1689C2×C4—4241no—
1690C2×C4—2122no—
1691C2×C4—2122no—
1692C2×C4—2122no—
1693C2×C4—2122no—
1694C2×C4—2122no—
1695C2×C4—2122no—
1696C2×C4—2122no—
1697C2×C4—2122no—
1698C2×C4—2122no—
1699C2×C4—2122no—
1700C2×C4—2122no—
1701C2×C4—2122no—
1702C2×C4—2122no—
1703C2×C4—2122no—
1704C2×C4—2122no—
1705C2×C4C2×D4×D5311yescharacteristic
1706C2×C4C2×D4×D5311yescharacteristic
1707C2×C4C2×D4×D5311yescharacteristic
1708C2×C4C2×D4×D5311yescharacteristic
1709C2×C4C24×D5311yescharacteristic
1710C8—21no—
1711C8—21no—
1712C8—21no—
1713C8—532no—
1714C8—1061no—
1715C8—1061no—
1716C8—1061no—
1717C8#41×D5312yescomplemented
1718C22—21no—
1719C22—21no—
1720C22—21no—
1721C22—21no—
1722C22—21no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—532no—
1730C22—532no—
1731C22—532no—
1732C22—532no—
1733C22—1068no—
1734C22—1061no—
1735C22—1061no—
1736C22—1061no—
1737C22—1061no—
1738C22—1061no—
1739C22—4244no—
1740C22—4244no—
1741C22—2124no—
1742C22—2121no—
1743C22—2121no—
1744C22—2121no—
1745C22—2121no—
1746C22—2121no—
1747C22—2121no—
1748C22AGL(1,ℤ/8)×D5312yes—
1749C22C22×D4×D5311yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—532no—
1761C4—1061no—
1762C4—1061no—
1763C4—1061no—
1764C4—1061no—
1765C4—2121no—
1766C4—2121no—
1767C4—2121no—
1768C4—2121no—
1769C4—2121no—
1770C4—2121no—
1771C4C2×#41×D5311yescharacteristic
1772C42−1+4×D5311yescharacteristic
1773C2—22no—
1774C2—41no—
1775C2—81no—
1776C2—81no—
1777C2—534no—
1778C2—1062no—
1779C2—4241no—
1780C2—4241no—
1781C2—2121no—
1782C2#547×D5311yescharacteristic
1783C2C2×AGL(1,ℤ/8)×D5311yescharacteristic
1784C2#577×D5311yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3345C2
socleC22×C53C23×D4
hypercenter#3345D53
hypocenterC53C2×#3345
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #553×D53C2semidirect
2. #547×D53C2semidirect
3. #20287192C2semidirect
4. #20287191C2semidirect
5. #20287190C2semidirect
6. #20287189C2semidirect
7. #20287188C2semidirect
8. #20287187C2semidirect
9. #20287186C2semidirect
10. #20287185C2semidirect
11. #20287184C2semidirect
12. #20287183C2semidirect
13. #20287182C2semidirect
14. #20287181C2semidirect
15. #20287180C2semidirect
16. #20287179C2semidirect
17. #20287178C2semidirect
18. #501×D53C2semidirect
19. #481×D53C2semidirect
20. #481×D53C2semidirect
21. #482×D53C2semidirect
22. #480×D53C2semidirect
23. #478×D53C2semidirect
24. #476×D53C2semidirect
25. #469×D53C2semidirect
26. #466×D53C2semidirect
27. #442×D53C2semidirect
28. #435×D53C2semidirect
29. #428×D53C2semidirect
30. C2×#106×D53C2semidirect
31. C53×#3345C2semidirect
36. #16811326C22semidirect
37. #16811325C22semidirect
39. #16811323C22semidirect
41. #16811321C22semidirect
42. #16811320C22semidirect
43. #16811319C22semidirect
45. #16811317C22semidirect
47. #16811278C22semidirect
48. #16811277C22semidirect
49. #16811276C22semidirect
51. #16811274C22semidirect
52. #16811274C22semidirect
53. #16811273C22semidirect
54. #16811273C22semidirect
78. #16811033C22semidirect
79. #16811032C22semidirect
80. #16811031C22semidirect
81. #16811031C22semidirect
82. #16811030C22semidirect
83. #16811030C22semidirect
84. #16811029C22semidirect
85. #16810950C22semidirect
86. #16810949C22semidirect
87. #16810948C22semidirect
88. #16810947C22semidirect
89. #16810946C22semidirect
90. #16810945C22semidirect
91. #16810944C22semidirect
92. #16810943C22semidirect
93. #16810943C22semidirect
94. #16810943C22semidirect
95. #16810943C22semidirect
96. #16810942C22semidirect
97. #16810942C22semidirect
98. #16810941C22semidirect
99. #16810941C22semidirect
100. #16810940C22semidirect
101. #16810940C22semidirect
102. #16810940C22semidirect
103. #16810940C22semidirect
104. #16810939C22semidirect
105. #16810939C22semidirect
106. #16810938C22semidirect
107. #16810938C22semidirect
108. #16810937C22semidirect
109. #16810936C22semidirect
110. #16810935C22semidirect
111. #16810935C22semidirect
112. #16810934C22semidirect
113. #16810926C22semidirect
114. #16810925C22semidirect
115. #16810924C22semidirect
116. #16810923C22semidirect
117. #16810922C22semidirect
118. #16810921C22semidirect
119. #16810920C22semidirect
120. #16810914C22semidirect
121. #16810913C22semidirect
122. #16810912C22semidirect
123. #16810912C22semidirect
124. #16810911C22semidirect
125. #16810911C22semidirect
126. #16810910C22semidirect
127. #16810877C22semidirect
128. #16810876C22semidirect
129. #16810875C22semidirect
130. #16810875C22semidirect
131. #16810874C22semidirect
132. #16810874C22semidirect
133. #16810873C22semidirect
134. #16810860C22semidirect
135. #16810859C22semidirect
136. #16810858C22semidirect
137. #16810858C22semidirect
138. #16810857C22semidirect
139. #16810857C22semidirect
140. #16810856C22semidirect
141. #16810736C22semidirect
142. #16810735C22semidirect
143. #16810734C22semidirect
144. #16810733C22semidirect
145. #16810733C22semidirect
146. #16810732C22semidirect
147. #16810732C22semidirect
148. #16810697C22semidirect
149. #16810696C22semidirect
150. #16810695C22semidirect
151. #16810694C22semidirect
152. #16810693C22semidirect
153. #16810692C22semidirect
154. #16810691C22semidirect
155. #16810666C22semidirect
156. #16810665C22semidirect
157. #16810664C22semidirect
158. #16810664C22semidirect
159. #16810663C22semidirect
160. #16810662C22semidirect
161. #16810662C22semidirect
165. C2×#13133149C22semidirect
166. C2×#13133148C22semidirect
167. C2×#13133148C22semidirect
174. #106×D53C22semidirect
175. #106×D53C22semidirect
176. #106×D53C22semidirect
177. #106×D53C22semidirect
188. C53×#553C22semidirect
189. C53×#547C22semidirect
190. C53×#501C22semidirect
191. C53×#482C22semidirect
192. C53×#481C22semidirect
193. C53×#481C22semidirect
194. C53×#480C22semidirect
195. C53×#478C22semidirect
196. C53×#476C22semidirect
197. C53×#469C22semidirect
198. C53×#466C22semidirect
199. C53×#442C22semidirect
200. C53×#435C22semidirect
201. C53×#428C22semidirect
202. C2×#106×C53C22semidirect
695. C8×D53#41semidirect
820. C8×C53C2×#41semidirect
824. #88322C2×#41semidirect
898. #3345D53direct (N × H)
923. D53#3345direct (N × H)
939. #553C2×D53semidirect
951. #547C2×D53semidirect
979. #501C2×D53semidirect
987. #482C2×D53semidirect
1002. #481C2×D53semidirect
1003. #481C2×D53semidirect
1011. #480C2×D53semidirect
1019. #478C2×D53semidirect
1027. #476C2×D53semidirect
1035. #469C2×D53semidirect
1043. #466C2×D53semidirect
1051. #442C2×D53semidirect
1059. #435C2×D53semidirect
1067. #428C2×D53semidirect
1084. C2×#106C2×D53semidirect
1095. C53C2×#3345semidirect
1717. C8#41×D53semidirect

Maximal subgroups

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

subgroupindex
#553×D532
#547×D532
#202871922
#202871912
#202871902
#202871892
#202871882
#202871872
#202871862
#202871852
#202871842
#202871832
#202871822
#202871812
#202871802
#202871792
#202871782
#501×D532
#481×D532
#482×D532
#480×D532
#478×D532
#476×D532
#469×D532
#466×D532
#442×D532
#435×D532
#428×D532
C2×#106×D532
C53×#33452
C2×#334553