Finite Group Databasebeta

← #28267136

Subgroups — #28267136

Order 13568.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288783C211yesmaximal, characteristic, complemented
2#20288777C211yesmaximal, characteristic, complemented
3#20287794C211yesmaximal, characteristic, complemented
4#20287673C211yesmaximal, characteristic, complemented
5#20287367C211yesmaximal, characteristic, complemented
6#20287359C211yesmaximal, characteristic, complemented
7#20287287C211yesmaximal, characteristic, complemented
8#20287264C211yesmaximal, characteristic, complemented
9#20287258C211yesmaximal, characteristic, complemented
10#20286630C211yesmaximal, characteristic, complemented
11#20286625C211yesmaximal, characteristic, complemented
12#20286568C211yesmaximal, characteristic, complemented
13#20286558C211yesmaximal, characteristic, complemented
14#20286557C211yesmaximal, characteristic, complemented
15#20286547C211yesmaximal, characteristic, complemented
16#20286321C211yesmaximal, characteristic, complemented
17#20286244C211yesmaximal, characteristic, complemented
18#20286233C211yesmaximal, characteristic, complemented
19#20285389C211yesmaximal, characteristic, complemented
20#20285381C211yesmaximal, characteristic, complemented
21#20285279C211yesmaximal, characteristic, complemented
22#20284933C211yesmaximal, characteristic, complemented
23#20284927C211yesmaximal, characteristic, complemented
24#20284903C211yesmaximal, characteristic, complemented
25#20284897C211yesmaximal, characteristic, complemented
26#20284826C211yesmaximal, characteristic, complemented
27#20283684C211yesmaximal, characteristic, complemented
28#20283546C211yesmaximal, characteristic, complemented
29#20283544C211yesmaximal, characteristic, complemented
30C4×#13133237C211yesmaximal, characteristic, complemented
31C53×#3111C211yesmaximal, characteristic, complemented
32C2×#13133244C2211yescharacteristic
33C2×#13133241C2211yescharacteristic
34C2×#13133237C2211yescharacteristic
35#16811345C2211yescharacteristic, complemented
36#16811344C2211yescharacteristic, complemented
37#16811342C2211yescharacteristic, complemented
38#16811341C2211yescharacteristic, complemented
39#16811332C2211yescharacteristic, complemented
40#16811329C2211yescharacteristic, complemented
41#16811323—21no—
42#16811322—21no—
43#16811320C2211yescharacteristic
44#16811317C2211yescharacteristic
45#16811314C2211yescharacteristic
46#16811312—21no—
47#16811311C2211yescharacteristic
48#16811306—21no—
49#16811302—21no—
50#16811302—21no—
51#16811297—21no—
52#16811297—21no—
53#16811275C2211yescharacteristic
54#16811272C2211yescharacteristic
55#16811270C2211yescharacteristic, complemented
56#16811268C2211yescharacteristic
57#16811266C2211yescharacteristic
58#16811261C2211yescharacteristic, complemented
59#16811245C2211yescharacteristic
60#16811238C2211yescharacteristic
61#16811231C2211yescharacteristic, complemented
62#16811231C2211yescharacteristic, complemented
63#16811216—21no—
64#16811215—21no—
65#16811209—21no—
66#16811206—21no—
67#16811157—21no—
68#16811157C2211yescharacteristic
69#16811157C2211yescharacteristic, complemented
70#16811156—21no—
71C2×#13133211—21no—
72#126×D53—21no—
73#16811105C2211yescharacteristic
74#16811102C2211yescharacteristic
75#16811095C2211yescharacteristic, complemented
76#16811095C2211yescharacteristic, complemented
77C4×#11719945C2211yescharacteristic, complemented
78#16811031C2211yescharacteristic, complemented
79#16811030C2211yescharacteristic, complemented
80#16811022C2211yescharacteristic, complemented
81#16811016C2211yescharacteristic, complemented
82#16811014C2211yescharacteristic, complemented
83#16811005C2211yescharacteristic
84#16810980C2211yescharacteristic, complemented
85#16810979C2211yescharacteristic, complemented
86#16810977C2211yescharacteristic, complemented
87#16810976C2211yescharacteristic, complemented
88#16810972C2211yescharacteristic, complemented
89#16810972C2211yescharacteristic, complemented
90#16810967C2211yescharacteristic, complemented
91#16810965C2211yescharacteristic, complemented
92#16810962C2211yescharacteristic, complemented
93#16810960C2211yescharacteristic, complemented
94#16810957C2211yescharacteristic, complemented
95#16810955C2211yescharacteristic, complemented
96#16810952C2211yescharacteristic, complemented
97#16810950C2211yescharacteristic
98#16810948C2211yescharacteristic, complemented
99#16810945C2211yescharacteristic
100#16810932C2211yescharacteristic, complemented
101#16810931C2211yescharacteristic, complemented
102#16810929C2211yescharacteristic, complemented
103#16810925C2211yescharacteristic, complemented
104#16810924C2211yescharacteristic, complemented
105#16810922C2211yescharacteristic, complemented
106#16810912C2211yescharacteristic, complemented
107#16810911C2211yescharacteristic, complemented
108#16810902C2211yescharacteristic, complemented
109#16810901C2211yescharacteristic, complemented
110#16810880C2211yescharacteristic, complemented
111#16810880C2211yescharacteristic, complemented
112#16810872C2211yescharacteristic
113#16810868C2211yescharacteristic
114#16810865C2211yescharacteristic, complemented
115#16810862C2211yescharacteristic, complemented
116#16810861C2211yescharacteristic, complemented
117#16810857C2211yescharacteristic
118#16810854C2211yescharacteristic, complemented
119#16810853C2211yescharacteristic
120#16810850C2211yescharacteristic, complemented
121#16810849C2211yescharacteristic
122#16810846C2211yescharacteristic, complemented
123#16810841C2211yescharacteristic
124#16810840C2211yescharacteristic
125#16810839C2211yescharacteristic
126#16810837C2211yescharacteristic
127#16810836C2211yescharacteristic
128#16810832C2211yescharacteristic, complemented
129#16810831C2211yescharacteristic, complemented
130#16810827C2211yescharacteristic, complemented
131#16810826C2211yescharacteristic, complemented
132#16810788C2211yescharacteristic
133#16810787C2211yescharacteristic, complemented
134#16810786C2211yescharacteristic
135#16810784C2211yescharacteristic
136#16810782C2211yescharacteristic
137#16810775C2211yescharacteristic, complemented
138#16810772C2211yescharacteristic, complemented
139#16810770C2211yescharacteristic
140#16810758C2211yescharacteristic
141#16810755C2211yescharacteristic
142#16810750C2211yescharacteristic, complemented
143#16810747C2211yescharacteristic, complemented
144#16810736C2211yescharacteristic
145#16810732C2211yescharacteristic
146#16810732C2211yescharacteristic
147#16810731C2211yescharacteristic, complemented
148#16810726C2211yescharacteristic, complemented
149#16810725C2211yescharacteristic, complemented
150#16810725C2211yescharacteristic, complemented
151#16810720C2211yescharacteristic, complemented
152C4×#11719925C2211yescharacteristic, complemented
153C4×#11719925C2211yescharacteristic, complemented
154C4×#11719925C2211yescharacteristic, complemented
155SD16×Dic53C2211yescharacteristic, complemented
156C4×#11719924C2211yescharacteristic, complemented
157C4×#11719924C2211yescharacteristic, complemented
158C4×#11719924C2211yescharacteristic, complemented
159#16810710C2211yescharacteristic, complemented
160C4×#11719923C2211yescharacteristic, complemented
161C4×#11719923C2211yescharacteristic, complemented
162C4×#11719923C2211yescharacteristic, complemented
163D8×Dic53C2211yescharacteristic
164#16810705C2211yescharacteristic
165C4×#11719922C2211yescharacteristic
166C4×#11719922C2211yescharacteristic
167C4×#11719922C2211yescharacteristic
168#16810700C2211yescharacteristic
169#16810691C2211yescharacteristic, complemented
170#16810691C2211yescharacteristic, complemented
171#16810688C2211yescharacteristic
172#16810686C2211yescharacteristic, complemented
173#16810686C2211yescharacteristic, complemented
174#16810685C2211yescharacteristic, complemented
175#16810685C2211yescharacteristic, complemented
176#16810664C2211yescharacteristic, complemented
177#16810662C2211yescharacteristic, complemented
178#16810659C2211yescharacteristic, complemented
179#16810619C2211yescharacteristic, complemented
180#16810618C2211yescharacteristic
181#16810617C2211yescharacteristic, complemented
182#16810616C2211yescharacteristic
183#102×D53C2211yescharacteristic, complemented
184#102×D53C2211yescharacteristic, complemented
185#16810580C2211yescharacteristic, complemented
186#16810580C2211yescharacteristic, complemented
187C2×C4×#88322C2211yescharacteristic, complemented
188C53×#529C2211yescharacteristic, complemented
189C4×#41×C53C2211yescharacteristic, complemented
190C53×#485C2211yescharacteristic, complemented
191C53×#482C2211yescharacteristic, complemented
192C53×#479C2211yescharacteristic, complemented
193C53×#478C2211yescharacteristic, complemented
194C53×#464C2211yescharacteristic, complemented
195C53×#463C2211yescharacteristic
196C53×#452C2211yescharacteristic, complemented
197C53×#449C2211yescharacteristic
198C53×#442C2211yescharacteristic
199C53×#441C2211yescharacteristic, complemented
200C53×#440C2211yescharacteristic, complemented
201C53×#440C2211yescharacteristic, complemented
202C53×#432C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945C2311yescharacteristic
205C2×#11719947C2311yescharacteristic
206C2×D4×D53C2311yescharacteristic
207C2×D4×D53C2311yescharacteristic
208#13133244—24no—
209#13133241—24no—
210#13133237—24no—
211C2×Dic212C2311yescharacteristic
212C2×#11719925C2311yescharacteristic
213C2×#11719925C2311yescharacteristic
214C2×#11719913C2311yescharacteristic
215C2×#11719913C2311yescharacteristic
216C2×#11719923C2311yescharacteristic
217C2×#11719923C2311yescharacteristic
218C2×#11719924C2311yescharacteristic
219C2×#11719924C2311yescharacteristic
220C2×D424C2311yescharacteristic
221C2×#11719922C2311yescharacteristic
222C2×#11719922C2311yescharacteristic
223C2×#11719912C2311yescharacteristic
224C2×#11719912C2311yescharacteristic
225C22×#88322C2311yescharacteristic
226C22×#88322C2311yescharacteristic
227C2×C8×D53C2311yescharacteristic
228C2×C8×D53C2311yescharacteristic
229#13133216C2311yescharacteristic
230#13133216C2311yescharacteristic
231#13133215C2311yescharacteristic
232#13133215C2311yescharacteristic
233#13133212—21no—
234#13133212—21no—
235#13133212—21no—
236#13133212—21no—
237#13133212—21no—
238#13133211—21no—
239#13133211—21no—
240#13133211—21no—
241#13133211—21no—
242#13133211—21no—
243#13133211—21no—
244#13133211—21no—
245#13133211—21no—
246#13133211D411yescharacteristic
247#13133211D411yescharacteristic
248#13133210—21no—
249#13133210—21no—
250#13133210—21no—
251#13133210—21no—
252#13133210—21no—
253#13133210—21no—
254#13133209—21no—
255#13133209—21no—
256#13133209D411yescharacteristic
257#13133209C2311yescharacteristic
258#13133208—21no—
259#13133208C2311yescharacteristic
260#13133208C2311yescharacteristic
261#13133207—21no—
262#13133207—21no—
263#13133207—21no—
264#13133206C2311yescharacteristic
265#13133205—21no—
266#13133205D411yescharacteristic
267#13133205C2311yescharacteristic
268#13133204C2311yescharacteristic
269#13133203—21no—
270#13133203—21no—
271#13133203—21no—
272#13133202—21no—
273#13133202—21no—
274#13133202—21no—
275#13133202—21no—
276#13133201—21no—
277#13133200—21no—
278#13133200—21no—
279#13133200—21no—
280#13133200—21no—
281#13133200D411yescharacteristic
282#13133200D411yescharacteristic
283#13133199—21no—
284#13133199—21no—
285#13133199—21no—
286#13133199—21no—
287#13133198—21no—
288#13133198—21no—
289#13133197—21no—
290#13133197C2311yescharacteristic
291#13133197C2311yescharacteristic
292#13133197C2311yescharacteristic
293#13133196—21no—
294#13133196—21no—
295#13133196D411yescharacteristic
296#13133196C2311yescharacteristic
297#13133195—21no—
298#13133195—21no—
299#13133195—21no—
300#13133195—21no—
301#13133194—21no—
302#13133194—21no—
303#13133194—21no—
304#13133193C2311yescharacteristic
305#13133193C2311yescharacteristic
306#13133193C2311yescharacteristic
307#13133192C2311yescharacteristic
308#13133191—21no—
309#13133191D411yescharacteristic
310#13133191C2311yescharacteristic
311#13133190—21no—
312#13133190—21no—
313#13133190—21no—
314#13133189—21no—
315#13133189—21no—
316#13133188—21no—
317#13133188—21no—
318#13133188C2311yescharacteristic
319#13133187—21no—
320#13133187—21no—
321#13133185—21no—
322#13133185—21no—
323Q8×Dic53C2311yescharacteristic
324C4×Dic106—21no—
325C4×Dic106C2311yescharacteristic
326C4×Dic106C2311yescharacteristic
327C4×Dic106C2311yescharacteristic
328C4×Dic106C2311yescharacteristic
329#13133182—21no—
330#13133182C2311yescharacteristic
331C4×D212—21no—
332C4×D212—21no—
333C4×D212C2311yescharacteristic
334C4×D212C2311yescharacteristic
335C4×D212C2311yescharacteristic
336C4×D212C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339D4×Dic53C2311yescharacteristic
340#13133179—21no—
341#13133179C2311yescharacteristic
342#13133179C2311yescharacteristic
343#13133179C2311yescharacteristic
344C4×C22⋊D53—21no—
345C4×C22⋊D53—21no—
346C4×C22⋊D53—21no—
347C4×C22⋊D53—21no—
348C4×C22⋊D53—21no—
349C4×C22⋊D53—21no—
350C4×C22⋊D53C2311yescharacteristic
351C4×C22⋊D53C2311yescharacteristic
352#13133177—21no—
353#13133177—21no—
354#13133177—21no—
355#13133177—21no—
356#13133176C2311yescharacteristic
357#13133175—21no—
358#13133175C2311yescharacteristic
359#13133175C2311yescharacteristic
360#13133174—21no—
361#13133174—21no—
362#13133174—21no—
363#13133174—21no—
364#13133174—21no—
365#13133174C2311yescharacteristic
366#13133174C2311yescharacteristic
367#13133173—21no—
368#13133173—21no—
369C2×#11719919—21no—
370C2×#11719919—21no—
371C2×#11719919—21no—
372C4⋊C4×D53—21no—
373C4⋊C4×D53—21no—
374C4⋊C4×D53—21no—
375C4⋊C4×D53C2311yescharacteristic
376C4⋊C4×D53C2311yescharacteristic
377C2×#11719921—21no—
378C2×#11719921—21no—
379C2×#11719921—21no—
380C2×#11719921—21no—
381C22⋊C4×D53—21no—
382C22⋊C4×D53—21no—
383C22⋊C4×D53—21no—
384C22⋊C4×D53—21no—
385C42×D53—21no—
386#13133151C2311yescharacteristic
387#13133151C2311yescharacteristic
388#13133150C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133150C2311yescharacteristic
392#13133149C2311yescharacteristic
393#13133149C2311yescharacteristic
394#13133148C2311yescharacteristic
395#13133148C2311yescharacteristic
396#13133148C2311yescharacteristic
397#13133148C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133141C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133140C2311yescharacteristic
411#13133140C2311yescharacteristic
412#13133140C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133129C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133127C2311yescharacteristic
431#13133127C2311yescharacteristic
432C4×#88322C2311yescharacteristic
433C4×#88322C2311yescharacteristic
434C4×#88322C2311yescharacteristic
435C4×#88322C2311yescharacteristic
436C8×Dic53C2311yescharacteristic
437C8×Dic53C2311yescharacteristic
438C2×#41×C53C2311yescharacteristic
439C2×Q16×C53C2311yescharacteristic
440C2×SD16×C53C2311yescharacteristic
441C2×SD16×C53C2311yescharacteristic
442C2×D8×C53C2311yescharacteristic
443#126×C53—21no—
444#125×C53C2311yescharacteristic
445#124×C53C2311yescharacteristic
446#123×C53—21no—
447C22⋊Q8×C53C2311yescharacteristic
448#121×C53C2311yescharacteristic
449C4×Q8×C53C2311yescharacteristic
450C4×Q8×C53C2311yescharacteristic
451C4×Q8×C53C2311yescharacteristic
452C4×D4×C53—21no—
453C4×D4×C53—21no—
454C4×D4×C53—21no—
455C4×D4×C53C2311yescharacteristic
456C4×D4×C53C2311yescharacteristic
457C4×D4×C53C2311yescharacteristic
458#117×C53—21no—
459#117×C53—21no—
460#117×C53C2311yescharacteristic
461C2×C42×C53—21no—
462C2×C42×C53C2311yescharacteristic
463#107×C53C2311yescharacteristic
464#107×C53C2311yescharacteristic
465#106×C53C2311yescharacteristic
466#106×C53C2311yescharacteristic
467C4⋊C8×C53C2311yescharacteristic
468C4⋊C8×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#103×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477C22⋊C8×C53C2311yescharacteristic
478C22⋊C8×C53C2311yescharacteristic
479#97×C53C2311yescharacteristic
480#97×C53C2311yescharacteristic
481C23×D53—21no—
482C23×D53—21no—
483#41×C53—22no—
484#41×C53—41no—
485C2×Q8×C53C2411yescharacteristic
486C2×Q8×C53C2411yescharacteristic
487C2×D4×C53—21no—
488C2×D4×C53—21no—
489C2×D4×C53C2411yescharacteristic
490C2×D4×C53C2411yescharacteristic
491C22×C4×C53—21no—
492C22×C4×C53—21no—
493C22×C4×C53—21no—
494C22×C4×C53—21no—
495C22×C4×C53C2×D411yescharacteristic
496C22×C4×C53C2×D411yescharacteristic
497C22×C4×C53C2411yescharacteristic
498C2×C22⋊D53—21no—
499C2×C22⋊D53—21no—
500C2×C22⋊D53—21no—
501C2×C22⋊D53—21no—
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C2×C22⋊D53C2×D411yescharacteristic
505C2×C22⋊D53C2×D411yescharacteristic
506C22×Dic53—21no—
507C22×Dic53—21no—
508C22×Dic53—21no—
509C22×Dic53—21no—
510#11719949—22no—
511#11719949—41no—
512#11719947—22no—
513#11719947—41no—
514D4×D53—22no—
515D4×D53—22no—
516D4×D53—41no—
517D4×D53—41no—
518#11719945—22no—
519#11719945—41no—
520C2×D212—21no—
521C2×D212—21no—
522C2×D212C2×D411yescharacteristic
523C2×D212C2411yescharacteristic
524C2×D212C2411yescharacteristic
525C2×C4×D53—21no—
526C2×C4×D53—21no—
527C2×C4×D53—21no—
528C2×C4×D53—21no—
529C2×C4×D53—21no—
530C2×C4×D53—21no—
531C2×C4×D53—21no—
532C2×C4×D53—21no—
533C2×C4×D53—21no—
534C2×C4×D53—21no—
535C2×C4×D53C2411yescharacteristic
536C2×C4×D53C2411yescharacteristic
537C2×Dic106—21no—
538C2×Dic106—21no—
539C2×Dic106C2×D411yescharacteristic
540C2×Dic106C2411yescharacteristic
541C2×Dic106C2411yescharacteristic
542Q16×C53—41no—
543SD16×C53—22no—
544SD16×C53—41no—
545D8×C53—22no—
546C2×C8×C53C2411yescharacteristic
547C2×C8×C53C2411yescharacteristic
548C2×C8×C53C2411yescharacteristic
549C2×C8×C53C2411yescharacteristic
550C4⋊C4×C53—21no—
551C4⋊C4×C53—21no—
552C4⋊C4×C53—21no—
553C4⋊C4×C53—21no—
554C4⋊C4×C53—21no—
555C4⋊C4×C53—21no—
556C4⋊C4×C53C2411yescharacteristic
557C4⋊C4×C53C2411yescharacteristic
558C4⋊C4×C53C2411yescharacteristic
559C4⋊C4×C53C2411yescharacteristic
560C22⋊C4×C53—21no—
561C22⋊C4×C53—21no—
562C22⋊C4×C53—21no—
563C22⋊C4×C53—21no—
564C22⋊C4×C53—21no—
565C22⋊C4×C53—21no—
566C22⋊C4×C53—21no—
567C22⋊C4×C53—21no—
568C42×C53—21no—
569C42×C53—21no—
570C42×C53—21no—
571C42×C53—21no—
572C42×C53C2×D411yescharacteristic
573C42×C53C2×D411yescharacteristic
574C42×C53C2411yescharacteristic
575C42×C53C2411yescharacteristic
576C22⋊Dic53—21no—
577C22⋊Dic53—21no—
578C22⋊Dic53—21no—
579C22⋊Dic53—21no—
580C22⋊Dic53—21no—
581C22⋊Dic53—21no—
582C22⋊Dic53—21no—
583C22⋊Dic53—21no—
584C22⋊Dic53C2×D411yescharacteristic
585C22⋊Dic53C2×D411yescharacteristic
586#11719925—22no—
587#11719925—41no—
588#11719924—22no—
589#11719924—22no—
590#11719923—22no—
591#11719923—22no—
592#11719922—41no—
593#11719922#4114yes—
594#11719921—21no—
595#11719921—21no—
596#11719921—21no—
597#11719921—21no—
598#11719921—21no—
599#11719921—21no—
600#11719921—21no—
601#11719921—21no—
602#11719921—21no—
603#11719921—21no—
604#11719921—21no—
605#11719921—21no—
606#11719921—21no—
607#11719921—21no—
608#11719921—21no—
609#11719921—21no—
610#11719921—21no—
611#11719921—21no—
612#11719921—21no—
613#11719921—21no—
614#11719921C2×D411yescharacteristic
615#11719921C2×D411yescharacteristic
616#11719921C2×D411yescharacteristic
617#11719921C2×D411yescharacteristic
618#11719921C2×D411yescharacteristic
619#11719921C2×D411yescharacteristic
620#11719921C2×D411yescharacteristic
621#11719921C2×D411yescharacteristic
622C4⋊Dic53—21no—
623C4⋊Dic53—21no—
624C4⋊Dic53—21no—
625C4⋊Dic53—21no—
626C4⋊Dic53—21no—
627C4⋊Dic53—21no—
628C4⋊Dic53C2×D411yescharacteristic
629C4⋊Dic53C2×D411yescharacteristic
630C4⋊Dic53C2411yescharacteristic
631C4⋊Dic53C2411yescharacteristic
632C4⋊Dic53C2411yescharacteristic
633C4⋊Dic53C2411yescharacteristic
634#11719919—21no—
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919—21no—
645#11719919—21no—
646#11719919—21no—
647#11719919—21no—
648#11719919—21no—
649#11719919—21no—
650#11719919—21no—
651#11719919—21no—
652#11719919—21no—
653#11719919—21no—
654#11719919C2×D411yescharacteristic
655#11719919C2×D411yescharacteristic
656#11719919C2×D411yescharacteristic
657#11719919C2×D411yescharacteristic
658#11719919C2×D411yescharacteristic
659#11719919C2×D411yescharacteristic
660#11719919C2×D411yescharacteristic
661#11719919C2×D411yescharacteristic
662C4×Dic53—21no—
663C4×Dic53—21no—
664C4×Dic53—21no—
665C4×Dic53—21no—
666C4×Dic53—21no—
667C4×Dic53—21no—
668C4×Dic53—21no—
669C4×Dic53—21no—
670C4×Dic53C2411yescharacteristic
671C4×Dic53C2411yescharacteristic
672C2×#88322—22no—
673C2×#88322—41no—
674C2×#88322C2411yescharacteristic
675C2×#88322C2411yescharacteristic
676C2×#88322C2411yescharacteristic
677C2×#88322C2411yescharacteristic
678Dic212—41no—
679D424—22no—
680#11719913—22no—
681#11719913—41no—
682#11719912—22no—
683#11719912—22no—
684C8×D53—41no—
685C8×D53—41no—
686C23×C53—21no—
687C23×C53—21no—
688C23×C53C22×D411yescharacteristic
689C22×D53—21no—
690C22×D53—21no—
691C22×D53—42no—
692C22×D53—42no—
693C22×D53—81no—
694C22×D53—81no—
695C22×D53—81no—
696C22×D53—81no—
697C22×D53C22×D411yescharacteristic
698C22×D53C22×D411yescharacteristic
699Q8×C53—21no—
700Q8×C53—21no—
701Q8×C53—21no—
702Q8×C53—21no—
703D4×C53—21no—
704D4×C53—21no—
705D4×C53—21no—
706D4×C53—42no—
707D4×C53—81no—
708D4×C53C2×#4112yes—
709C2×C4×C53—21no—
710C2×C4×C53—21no—
711C2×C4×C53—21no—
712C2×C4×C53—21no—
713C2×C4×C53—21no—
714C2×C4×C53—21no—
715C2×C4×C53—21no—
716C2×C4×C53—21no—
717C2×C4×C53—41no—
718C2×C4×C53—41no—
719C2×C4×C53—42no—
720C2×C4×C53—81no—
721C2×C4×C53—81no—
722C2×C4×C53—81no—
723C2×C4×C53C22×D411yescharacteristic
724C2×C4×C53C22×D411yescharacteristic
725C2×C4×C53C22×D411yescharacteristic
726C2×C4×C53C22×D411yescharacteristic
727C2×C4×C53C22×D411yescharacteristic
728C2×C4×C53C2511yescharacteristic
729C22⋊D53—41no—
730C22⋊D53—41no—
731C22⋊D53—42no—
732C22⋊D53—42no—
733C22⋊D53—42no—
734C22⋊D53—42no—
735C22⋊D53—81no—
736C22⋊D53—81no—
737C2×Dic53—21no—
738C2×Dic53—21no—
739C2×Dic53—21no—
740C2×Dic53—21no—
741C2×Dic53—21no—
742C2×Dic53—21no—
743C2×Dic53—42no—
744C2×Dic53—81no—
745C2×Dic53—81no—
746C2×Dic53—81no—
747C2×Dic53C22×D411yescharacteristic
748C2×Dic53C22×D411yescharacteristic
749C2×Dic53C22×D411yescharacteristic
750C2×Dic53C22×D411yescharacteristic
751C2×Dic53C22×D411yescharacteristic
752C2×Dic53C22×D411yescharacteristic
753D212—21no—
754D212—21no—
755D212—21no—
756D212—41no—
757D212—42no—
758D212—81no—
759D212C2×#4112yes—
760C4×D53—21no—
761C4×D53—21no—
762C4×D53—21no—
763C4×D53—21no—
764C4×D53—42no—
765C4×D53—42no—
766C4×D53—81no—
767C4×D53—81no—
768C4×D53—81no—
769C4×D53—81no—
770C4×D53—81no—
771C4×D53—81no—
772C4×D53—81no—
773C4×D53—81no—
774Dic106—21no—
775Dic106—21no—
776Dic106—21no—
777Dic106—21no—
778Dic106—41no—
779Dic106—81no—
780Dic106—81no—
781C8×C53—21no—
782C8×C53—21no—
783C8×C53—21no—
784C8×C53—21no—
785#88322—21no—
786#88322—21no—
787#88322—21no—
788#88322C2×#4112yes—
789#61501—531nomaximal, Sylow
790C22×C53—21no—
791C22×C53—21no—
792C22×C53—22no—
793C22×C53—21no—
794C22×C53—41no—
795C22×C53—41no—
796C22×C53—41no—
797C22×C53—41no—
798C22×C53—41no—
799C22×C53C23×D411yescharacteristic
800C2×D53—21no—
801C2×D53—21no—
802C2×D53—21no—
803C2×D53—21no—
804C2×D53—21no—
805C2×D53—21no—
806C2×D53—22no—
807C2×D53—41no—
808C2×D53—41no—
809C2×D53—41no—
810C2×D53—41no—
811C2×D53—41no—
812C2×D53—162no—
813C2×D53—162no—
814C4×C53—21no—
815C4×C53—21no—
816C4×C53—21no—
817C4×C53—21no—
818C4×C53—21no—
819C4×C53—41no—
820C4×C53—41no—
821C4×C53—41no—
822C4×C53—41no—
823C4×C53—41no—
824C4×C53—41no—
825C4×C53C22×#4111yescharacteristic
826C4×C53#58511yescharacteristic
827Dic53—21no—
828Dic53—21no—
829Dic53—21no—
830Dic53—21no—
831Dic53—21no—
832Dic53—21no—
833Dic53—41no—
834Dic53—41no—
835Dic53—41no—
836Dic53—41no—
837Dic53—41no—
838Dic53—41no—
839#3521—531no—
840#3521—531no—
841#3402—531no—
842#3389—531no—
843#3360—531no—
844#3360—531no—
845#3352—531no—
846#3350—531no—
847#3350—531no—
848#3302—531no—
849#3302—531no—
850#3297—531no—
851#3297—531no—
852#3296—531no—
853#3296—531no—
854#3273—531no—
855#3267—531no—
856#3267—531no—
857#3178—531no—
858#3178—531no—
859#3168—531no—
860#3120—531no—
861#3120—531no—
862#3118—531no—
863#3118—531no—
864#3111—531no—
865#3111D5311yescharacteristic, complemented
866#2966—531no—
867#2946—531no—
868#2946—531no—
869C4×#135—531no—
870C2×C53—42no—
871C2×C53—41no—
872C2×C53—81no—
873C2×C53D4×#4111yescharacteristic
874C2×C53#358411yescharacteristic
875C2×C53#358411yescharacteristic
876D53—41no—
877D53—41no—
878D53—42no—
879D53—81no—
880C2×AGL(1,ℤ/8)—531no—
881C2×AGL(1,ℤ/8)—531no—
882C2×#135—531no—
883#556—531no—
884#556—531no—
885#556—531no—
886#556—531no—
887#554—531no—
888#554—531no—
889#553—531no—
890#553—531no—
891#553—1061no—
892#553—1061no—
893#552—531no—
894#552—531no—
895#552—1061no—
896#552—1061no—
897#551—1061no—
898#551—1061no—
899#551—1061no—
900#551—1061no—
901#547—531no—
902#547—531no—
903#546—531no—
904#546—531no—
905#546—531no—
906#546—531no—
907#542—531no—
908#542—531no—
909#541—531no—
910#541—531no—
911#539—1061no—
912#539—1061no—
913#538—1061no—
914#538—1061no—
915#529—531no—
916#529—531no—
917#529—1061no—
918#529—1061no—
919#529C2×D5311yescharacteristic, complemented
920C2×#126—1061no—
921C2×#126—1061no—
922#520—531no—
923#520—531no—
924#518—531no—
925#518—531no—
926C4×#41—531no—
927C4×#41C2×D5311yescharacteristic, complemented
928#501—531no—
929#501—531no—
930#499—531no—
931#497—531no—
932#497—531no—
933#495—531no—
934#488—531no—
935#488—531no—
936#488—531no—
937#488—531no—
938#487—531no—
939#487—531no—
940#485—531no—
941#485—531no—
942#485—531no—
943#485C2×D5311yescharacteristic, complemented
944#484—531no—
945#484—531no—
946#483—531no—
947#483—531no—
948#482—531no—
949#482—531no—
950#482—531no—
951#482C2×D5311yescharacteristic, complemented
952#479—531no—
953#479—531no—
954#479—531no—
955#479C2×D5311yescharacteristic, complemented
956#478—531no—
957#478—531no—
958#478—531no—
959#478C2×D5311yescharacteristic, complemented
960#476—531no—
961#476—531no—
962#474—531no—
963#474—531no—
964#470—531no—
965#470—531no—
966#468—531no—
967#468—531no—
968#467—531no—
969#467—531no—
970#467—531no—
971#466—531no—
972#465—531no—
973#465—531no—
974#465—531no—
975#465—531no—
976#464—531no—
977#464C2×D5311yescharacteristic, complemented
978#463—531no—
979#463—531no—
980#463—531no—
981#463—531no—
982#463—531no—
983#463C2×D5311yescharacteristic
984#462—531no—
985#462—531no—
986#461—531no—
987#461—531no—
988#452—531no—
989#452—531no—
990#452—531no—
991#452—531no—
992#452—531no—
993#452C2×D5311yescharacteristic, complemented
994#450—531no—
995#450—531no—
996#449—531no—
997#449C2×D5311yescharacteristic
998#447—531no—
999#447—531no—
1000#446—531no—
1001C8×Q8—531no—
1002#442—531no—
1003#442—531no—
1004#442—531no—
1005#442C2×D5311yescharacteristic
1006#441—531no—
1007#441C2×D5311yescharacteristic, complemented
1008#440—531no—
1009#440—531no—
1010#440—531no—
1011#440—531no—
1012#440C2×D5311yescharacteristic, complemented
1013#440C2×D5311yescharacteristic, complemented
1014C4×Q16—531no—
1015C4×Q16—531no—
1016C4×Q16—531no—
1017C4×SD16—531no—
1018C4×SD16—531no—
1019C4×SD16—531no—
1020C4×SD16—531no—
1021C4×SD16—531no—
1022C4×SD16—531no—
1023C4×SD16—531no—
1024C4×SD16—531no—
1025C4×D8—531no—
1026C4×D8—531no—
1027C4×D8—531no—
1028C4×D8—531no—
1029C4×D8—531no—
1030#436—531no—
1031#435—531no—
1032#435—531no—
1033C8×D4—531no—
1034C8×D4—531no—
1035C8×D4—531no—
1036#433—531no—
1037#433—531no—
1038#432C2×D5311yescharacteristic, complemented
1039#428—531no—
1040#428—531no—
1041#427—531no—
1042#416—531no—
1043#416—531no—
1044#416—531no—
1045#416—531no—
1046C2×#102—531no—
1047C2×#102—531no—
1048#405—531no—
1049#405—531no—
1050C2×C4×C8—531no—
1051C53#6150111yescharacteristic, complemented, Sylow
1052C2×#41—531no—
1053C2×#41—531no—
1054C2×#41—531no—
1055C2×#41C22×D5311yescharacteristic
1056C22×D4—531no—
1057C22×D4—531no—
1058AGL(1,ℤ/8)—1064no—
1059AGL(1,ℤ/8)—1064no—
1060#135—1064no—
1061C2×Q16—531no—
1062C2×Q16—531no—
1063C2×Q16—531no—
1064C2×Q16C22×D5311yescharacteristic
1065C2×SD16—531no—
1066C2×SD16—531no—
1067C2×SD16—531no—
1068C2×SD16—531no—
1069C2×SD16—531no—
1070C2×SD16—531no—
1071C2×SD16C22×D5311yescharacteristic
1072C2×SD16C22×D5311yescharacteristic
1073C2×D8—531no—
1074C2×D8—531no—
1075C2×D8—531no—
1076C2×D8C22×D5311yescharacteristic
1077C2×M16—531no—
1078C2×M16—531no—
1079C22×C8—531no—
1080C22×C8—531no—
1081C22×C8—531no—
1082C22×C8—531no—
1083C4⋊Q8—531no—
1084C4⋊Q8—531no—
1085C4⋊Q8—531no—
1086C4⋊Q8—531no—
1087#126—21no—
1088#126—531no—
1089#126—531no—
1090#126—1061no—
1091#126—1061no—
1092#126—1061no—
1093#126—1061no—
1094#126—1061no—
1095#126—1061no—
1096#126—1061no—
1097#126—1061no—
1098#126—1061no—
1099#126—1061no—
1100#126—1061no—
1101#126—1061no—
1102#126—1061no—
1103#126—1061no—
1104#126—1061no—
1105#126—1061no—
1106#126—1061no—
1107#126—1061no—
1108#126—1061no—
1109#125—531no—
1110#125—531no—
1111#125—531no—
1112#125—531no—
1113#125—1061no—
1114#125—1061no—
1115#125—1061no—
1116#125—1061no—
1117#125—1061no—
1118#125—1061no—
1119#125C22×D5311yescharacteristic
1120#124—531no—
1121#124—531no—
1122#124—531no—
1123#124—531no—
1124#124—1061no—
1125#124—1061no—
1126#124—1061no—
1127#124—1061no—
1128#124C22×D5311yescharacteristic
1129#123—21no—
1130#123—531no—
1131#123—531no—
1132#123—1061no—
1133#123—1061no—
1134#123—1061no—
1135#123—1061no—
1136#123—1061no—
1137#123—1061no—
1138#123—1061no—
1139#123—1061no—
1140#123—1061no—
1141#123—1061no—
1142#123—1061no—
1143#123—1061no—
1144#123—1061no—
1145#123—1061no—
1146#123—1061no—
1147C22⋊Q8—531no—
1148C22⋊Q8—531no—
1149C22⋊Q8—531no—
1150C22⋊Q8—531no—
1151C22⋊Q8—531no—
1152C22⋊Q8—531no—
1153C22⋊Q8—531no—
1154C22⋊Q8—531no—
1155C22⋊Q8—1061no—
1156C22⋊Q8—1061no—
1157C22⋊Q8—1061no—
1158C22⋊Q8—1061no—
1159C22⋊Q8—1061no—
1160C22⋊Q8—1061no—
1161C22⋊Q8—1061no—
1162C22⋊Q8—1061no—
1163C22⋊Q8—1061no—
1164C22⋊Q8—1061no—
1165C22⋊Q8C22×D5311yescharacteristic
1166#121—531no—
1167#121—531no—
1168#121—531no—
1169#121—531no—
1170#121—1061no—
1171#121—1061no—
1172#121—1061no—
1173#121—1061no—
1174#121—1061no—
1175#121—1061no—
1176#121—1061no—
1177#121—1061no—
1178#121C22×D5311yescharacteristic
1179#120—1061no—
1180#120—1061no—
1181#120—1061no—
1182#120—1061no—
1183C4×Q8—531no—
1184C4×Q8—531no—
1185C4×Q8—531no—
1186C4×Q8—531no—
1187C4×Q8—531no—
1188C4×Q8—531no—
1189C4×Q8—1061no—
1190C4×Q8—1061no—
1191C4×Q8C22×D5311yescharacteristic
1192C4×Q8C22×D5311yescharacteristic
1193C4×Q8C22×D5311yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—531no—
1198C4×D4—531no—
1199C4×D4—531no—
1200C4×D4—531no—
1201C4×D4—531no—
1202C4×D4—531no—
1203C4×D4—531no—
1204C4×D4—531no—
1205C4×D4—531no—
1206C4×D4—531no—
1207C4×D4—531no—
1208C4×D4—531no—
1209C4×D4—1061no—
1210C4×D4—1061no—
1211C4×D4—1061no—
1212C4×D4—1061no—
1213C4×D4—1061no—
1214C4×D4—1061no—
1215C4×D4—1061no—
1216C4×D4—1061no—
1217C4×D4—1061no—
1218C4×D4—1061no—
1219C4×D4—1061no—
1220C4×D4—1061no—
1221C4×D4—1061no—
1222C4×D4C22×D5311yescharacteristic
1223C4×D4C22×D5311yescharacteristic
1224C4×D4C22×D5311yescharacteristic
1225#117—21no—
1226#117—21no—
1227#117—531no—
1228#117—531no—
1229#117—531no—
1230#117—531no—
1231#117—531no—
1232#117—1061no—
1233#117—1061no—
1234#117—1061no—
1235#117—1061no—
1236#117—1061no—
1237#117—1061no—
1238#117—1061no—
1239#117—1061no—
1240#117C22×D5311yescharacteristic
1241C2×C4⋊C4—531no—
1242C2×C4⋊C4—531no—
1243C2×C4⋊C4—1061no—
1244C2×C4⋊C4—1061no—
1245C2×C4⋊C4—1061no—
1246C2×C4⋊C4—1061no—
1247C2×C4⋊C4—1061no—
1248C2×C4⋊C4—1061no—
1249C2×C22⋊C4—1061no—
1250C2×C22⋊C4—1061no—
1251C2×C22⋊C4—1061no—
1252C2×C22⋊C4—1061no—
1253C2×C22⋊C4—1061no—
1254C2×C22⋊C4—1061no—
1255C2×C22⋊C4—1061no—
1256C2×C22⋊C4—1061no—
1257C2×C42—21no—
1258C2×C42—1061no—
1259C2×C42C22×D5311yescharacteristic
1260#107—531no—
1261#107—531no—
1262#107—531no—
1263#107—531no—
1264#107—531no—
1265#107—531no—
1266#107C22×D5311yescharacteristic
1267#107C22×D5311yescharacteristic
1268#106—531no—
1269#106—531no—
1270#106—531no—
1271#106—531no—
1272#106—531no—
1273#106—531no—
1274#106C22×D5311yescharacteristic
1275#106C22×D5311yescharacteristic
1276C4⋊C8—531no—
1277C4⋊C8—531no—
1278C4⋊C8—531no—
1279C4⋊C8—531no—
1280C4⋊C8C22×D5311yescharacteristic
1281C4⋊C8C22×D5311yescharacteristic
1282#103—531no—
1283#103—531no—
1284#103—531no—
1285#103—531no—
1286#103—531no—
1287#103—531no—
1288#103—531no—
1289#103—531no—
1290#103—531no—
1291#103—531no—
1292#103—531no—
1293#103—531no—
1294#103C22×D5311yescharacteristic
1295#103C22×D5311yescharacteristic
1296#103C22×D5311yescharacteristic
1297#103C22×D5311yescharacteristic
1298#102—531no—
1299#102—531no—
1300#102—531no—
1301#102—531no—
1302#102—531no—
1303#102—531no—
1304#102—531no—
1305#102—531no—
1306#102—531no—
1307#102—531no—
1308#102—531no—
1309#102—531no—
1310#102C22×D5311yescharacteristic
1311#102C22×D5311yescharacteristic
1312#102C22×D5311yescharacteristic
1313#102C22×D5311yescharacteristic
1314C22⋊C8—531no—
1315C22⋊C8—531no—
1316C22⋊C8—531no—
1317C22⋊C8—531no—
1318C22⋊C8C22×D5311yescharacteristic
1319C22⋊C8C22×D5311yescharacteristic
1320#97—531no—
1321#97—531no—
1322#97C22×D5311yescharacteristic
1323#97C22×D5311yescharacteristic
1324C4×C8—531no—
1325C4×C8—531no—
1326C4×C8—531no—
1327C4×C8—531no—
1328C4×C8—531no—
1329C4×C8—531no—
1330C24—1061no—
1331C24—1061no—
1332#41—22no—
1333#41—41no—
1334#41—1062no—
1335#41—1062no—
1336#41—1062no—
1337#41—2121no—
1338#41—2121no—
1339#41—2121no—
1340C2×Q8—531no—
1341C2×Q8—531no—
1342C2×Q8—531no—
1343C2×Q8—1061no—
1344C2×Q8—1061no—
1345C2×Q8C23×D5311yescharacteristic
1346C2×Q8C23×D5311yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—531no—
1350C2×D4—531no—
1351C2×D4—531no—
1352C2×D4—531no—
1353C2×D4—531no—
1354C2×D4—1061no—
1355C2×D4—1061no—
1356C2×D4—1061no—
1357C2×D4—1061no—
1358C2×D4—1062no—
1359C2×D4—1062no—
1360C2×D4—1061no—
1361C2×D4—1061no—
1362C2×D4—1061no—
1363C2×D4—1061no—
1364C2×D4—2121no—
1365C2×D4—2121no—
1366C2×D4C23×D5311yescharacteristic
1367C2×D4C23×D5311yescharacteristic
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—531no—
1373C22×C4—531no—
1374C22×C4—1061no—
1375C22×C4—1061no—
1376C22×C4—1061no—
1377C22×C4—1061no—
1378C22×C4—1061no—
1379C22×C4—1061no—
1380C22×C4—1061no—
1381C22×C4—1061no—
1382C22×C4—1061no—
1383C22×C4—1061no—
1384C22×C4—1061no—
1385C22×C4—1061no—
1386C22×C4—1061no—
1387C22×C4—1061no—
1388C22×C4D4×D5311yescharacteristic
1389C22×C4D4×D5311yescharacteristic
1390C22×C4C23×D5311yescharacteristic
1391Q16—41no—
1392Q16—1062no—
1393Q16—2121no—
1394Q16—2121no—
1395SD16—22no—
1396SD16—41no—
1397SD16—1062no—
1398SD16—1062no—
1399SD16—1062no—
1400SD16—1062no—
1401SD16—1062no—
1402SD16—2121no—
1403D8—22no—
1404D8—534no—
1405D8—1062no—
1406D8—2121no—
1407M16—1062no—
1408M16—1062no—
1409C2×C8—531no—
1410C2×C8—531no—
1411C2×C8—531no—
1412C2×C8—531no—
1413C2×C8—1062no—
1414C2×C8—2121no—
1415C2×C8—2121no—
1416C2×C8—2121no—
1417C2×C8C23×D5311yescharacteristic
1418C2×C8C23×D5311yescharacteristic
1419C2×C8C23×D5311yescharacteristic
1420C2×C8C23×D5311yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—531no—
1428C4⋊C4—531no—
1429C4⋊C4—531no—
1430C4⋊C4—531no—
1431C4⋊C4—531no—
1432C4⋊C4—531no—
1433C4⋊C4—531no—
1434C4⋊C4—531no—
1435C4⋊C4—531no—
1436C4⋊C4—531no—
1437C4⋊C4—531no—
1438C4⋊C4—531no—
1439C4⋊C4—531no—
1440C4⋊C4—531no—
1441C4⋊C4—1061no—
1442C4⋊C4—1061no—
1443C4⋊C4—1061no—
1444C4⋊C4—1061no—
1445C4⋊C4—1061no—
1446C4⋊C4—1061no—
1447C4⋊C4—1061no—
1448C4⋊C4—1061no—
1449C4⋊C4—1061no—
1450C4⋊C4—1061no—
1451C4⋊C4—1061no—
1452C4⋊C4—1061no—
1453C4⋊C4—1061no—
1454C4⋊C4—1061no—
1455C4⋊C4—1061no—
1456C4⋊C4—1061no—
1457C4⋊C4—1061no—
1458C4⋊C4—1061no—
1459C4⋊C4—1061no—
1460C4⋊C4—1061no—
1461C4⋊C4—1061no—
1462C4⋊C4—1061no—
1463C4⋊C4—1061no—
1464C4⋊C4—1061no—
1465C4⋊C4—1061no—
1466C4⋊C4—1061no—
1467C4⋊C4C23×D5311yescharacteristic
1468C4⋊C4C23×D5311yescharacteristic
1469C4⋊C4C23×D5311yescharacteristic
1470C4⋊C4C23×D5311yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—531no—
1480C22⋊C4—531no—
1481C22⋊C4—531no—
1482C22⋊C4—531no—
1483C22⋊C4—531no—
1484C22⋊C4—531no—
1485C22⋊C4—531no—
1486C22⋊C4—531no—
1487C22⋊C4—531no—
1488C22⋊C4—531no—
1489C22⋊C4—1061no—
1490C22⋊C4—1061no—
1491C22⋊C4—1061no—
1492C22⋊C4—1061no—
1493C22⋊C4—1061no—
1494C22⋊C4—1061no—
1495C22⋊C4—1061no—
1496C22⋊C4—1061no—
1497C22⋊C4—1061no—
1498C22⋊C4—1061no—
1499C22⋊C4—1061no—
1500C22⋊C4—1061no—
1501C22⋊C4—1061no—
1502C22⋊C4—1061no—
1503C22⋊C4—1061no—
1504C22⋊C4—1061no—
1505C22⋊C4—1061no—
1506C22⋊C4—1061no—
1507C22⋊C4—1061no—
1508C22⋊C4—1061no—
1509C22⋊C4—1061no—
1510C22⋊C4—1061no—
1511C22⋊C4—1061no—
1512C22⋊C4—1061no—
1513C22⋊C4—1061no—
1514C22⋊C4—1061no—
1515C22⋊C4—1061no—
1516C22⋊C4—1061no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—531no—
1522C42—531no—
1523C42—1061no—
1524C42—1061no—
1525C42—1061no—
1526C42—1061no—
1527C42—1061no—
1528C42—1061no—
1529C42—1061no—
1530C42—1061no—
1531C42D4×D5311yescharacteristic
1532C42D4×D5311yescharacteristic
1533C42C23×D5311yescharacteristic
1534C42C23×D5311yescharacteristic
1535C23—21no—
1536C23—21no—
1537C23—531no—
1538C23—531no—
1539C23—1061no—
1540C23—1061no—
1541C23—4241no—
1542C23—4241no—
1543C23—4241no—
1544C23—4241no—
1545C23—2122no—
1546C23—2122no—
1547C23C2×D4×D5311yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—1061no—
1553Q8—1061no—
1554Q8—1061no—
1555Q8—1061no—
1556Q8—4241no—
1557Q8—4241no—
1558Q8—2121no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—42no—
1563D4—81no—
1564D4—532no—
1565D4—1061no—
1566D4—1061no—
1567D4—1061no—
1568D4—4241no—
1569D4—4241no—
1570D4—4241no—
1571D4—2121no—
1572D4—2122no—
1573D4—2121no—
1574D4—2121no—
1575D4—2122no—
1576D4—2122no—
1577D4—2122no—
1578D4—2122no—
1579D4#41×D5312yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—42no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—81no—
1594C2×C4—531no—
1595C2×C4—531no—
1596C2×C4—531no—
1597C2×C4—531no—
1598C2×C4—531no—
1599C2×C4—531no—
1600C2×C4—1061no—
1601C2×C4—1061no—
1602C2×C4—1061no—
1603C2×C4—1061no—
1604C2×C4—1061no—
1605C2×C4—1061no—
1606C2×C4—1061no—
1607C2×C4—1061no—
1608C2×C4—1061no—
1609C2×C4—1061no—
1610C2×C4—4241no—
1611C2×C4—4241no—
1612C2×C4—4241no—
1613C2×C4—4241no—
1614C2×C4—4241no—
1615C2×C4—4241no—
1616C2×C4—4241no—
1617C2×C4—4241no—
1618C2×C4—4241no—
1619C2×C4—4241no—
1620C2×C4—4241no—
1621C2×C4—2122no—
1622C2×C4—2122no—
1623C2×C4—2122no—
1624C2×C4C2×D4×D5311yescharacteristic
1625C2×C4C2×D4×D5311yescharacteristic
1626C2×C4C2×D4×D5311yescharacteristic
1627C2×C4C2×D4×D5311yescharacteristic
1628C2×C4C2×D4×D5311yescharacteristic
1629C2×C4C24×D5311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—532no—
1635C8—1061no—
1636C8—1061no—
1637C8—1061no—
1638C22—21no—
1639C22—22no—
1640C22—21no—
1641C22—21no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—8482no—
1648C22—8482no—
1649C22—1061no—
1650C22—1061no—
1651C22—1062no—
1652C22—1061no—
1653C22—1061no—
1654C22—1061no—
1655C22—1061no—
1656C22—2121no—
1657C22—2121no—
1658C22—2121no—
1659C22—2121no—
1660C22—2121no—
1661C22C22×D4×D5311yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—1061no—
1674C4—1061no—
1675C4—1061no—
1676C4—1061no—
1677C4—1061no—
1678C4—1061no—
1679C4—2121no—
1680C4—2121no—
1681C4—2121no—
1682C4—2121no—
1683C4—2121no—
1684C4—2121no—
1685C4C2×#41×D5311yescharacteristic
1686C4#1681145911yescharacteristic
1687C2—41no—
1688C2—42no—
1689C2—81no—
1690C2—4241no—
1691C2—2121no—
1692C2—2121no—
1693C2—2122no—
1694C2#2028819811yescharacteristic
1695C2#2028948811yescharacteristic
1696C2#2028948811yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3111C2
socleC22×C53C23×D4
hypercenter#3111D53
hypocenterC53#61501
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #20288783C2semidirect
2. #20288777C2semidirect
3. #20287794C2semidirect
4. #20287673C2semidirect
5. #20287367C2semidirect
6. #20287359C2semidirect
7. #20287287C2semidirect
8. #20287264C2semidirect
9. #20287258C2semidirect
10. #20286630C2semidirect
11. #20286625C2semidirect
12. #20286568C2semidirect
13. #20286558C2semidirect
14. #20286557C2semidirect
15. #20286547C2semidirect
16. #20286321C2semidirect
17. #20286244C2semidirect
18. #20286233C2semidirect
19. #20285389C2semidirect
20. #20285381C2semidirect
21. #20285279C2semidirect
22. #20284933C2semidirect
23. #20284927C2semidirect
24. #20284903C2semidirect
25. #20284897C2semidirect
26. #20284826C2semidirect
27. #20283684C2semidirect
28. #20283546C2semidirect
29. #20283544C2semidirect
30. C4×#13133237C2semidirect
31. C53×#3111C2semidirect
35. #16811345C22semidirect
36. #16811344C22semidirect
37. #16811342C22semidirect
38. #16811341C22semidirect
39. #16811332C22semidirect
40. #16811329C22semidirect
55. #16811270C22semidirect
58. #16811261C22semidirect
61. #16811231C22semidirect
62. #16811231C22semidirect
69. #16811157C22semidirect
75. #16811095C22semidirect
76. #16811095C22semidirect
77. C4×#11719945C22semidirect
78. #16811031C22semidirect
79. #16811030C22semidirect
80. #16811022C22semidirect
81. #16811016C22semidirect
82. #16811014C22semidirect
84. #16810980C22semidirect
85. #16810979C22semidirect
86. #16810977C22semidirect
87. #16810976C22semidirect
88. #16810972C22semidirect
89. #16810972C22semidirect
90. #16810967C22semidirect
91. #16810965C22semidirect
92. #16810962C22semidirect
93. #16810960C22semidirect
94. #16810957C22semidirect
95. #16810955C22semidirect
96. #16810952C22semidirect
98. #16810948C22semidirect
100. #16810932C22semidirect
101. #16810931C22semidirect
102. #16810929C22semidirect
103. #16810925C22semidirect
104. #16810924C22semidirect
105. #16810922C22semidirect
106. #16810912C22semidirect
107. #16810911C22semidirect
108. #16810902C22semidirect
109. #16810901C22semidirect
110. #16810880C22semidirect
111. #16810880C22semidirect
114. #16810865C22semidirect
115. #16810862C22semidirect
116. #16810861C22semidirect
118. #16810854C22semidirect
120. #16810850C22semidirect
122. #16810846C22semidirect
128. #16810832C22semidirect
129. #16810831C22semidirect
130. #16810827C22semidirect
131. #16810826C22semidirect
133. #16810787C22semidirect
137. #16810775C22semidirect
138. #16810772C22semidirect
142. #16810750C22semidirect
143. #16810747C22semidirect
147. #16810731C22semidirect
148. #16810726C22semidirect
149. #16810725C22semidirect
150. #16810725C22semidirect
151. #16810720C22semidirect
152. C4×#11719925C22semidirect
153. C4×#11719925C22semidirect
154. C4×#11719925C22semidirect
155. SD16×Dic53C22semidirect
156. C4×#11719924C22semidirect
157. C4×#11719924C22semidirect
158. C4×#11719924C22semidirect
159. #16810710C22semidirect
160. C4×#11719923C22semidirect
161. C4×#11719923C22semidirect
162. C4×#11719923C22semidirect
169. #16810691C22semidirect
170. #16810691C22semidirect
172. #16810686C22semidirect
173. #16810686C22semidirect
174. #16810685C22semidirect
175. #16810685C22semidirect
176. #16810664C22semidirect
177. #16810662C22semidirect
178. #16810659C22semidirect
179. #16810619C22semidirect
181. #16810617C22semidirect
183. #102×D53C22semidirect
184. #102×D53C22semidirect
185. #16810580C22semidirect
186. #16810580C22semidirect
187. C2×C4×#88322C22semidirect
188. C53×#529C22semidirect
189. C4×#41×C53C22semidirect
190. C53×#485C22semidirect
191. C53×#482C22semidirect
192. C53×#479C22semidirect
193. C53×#478C22semidirect
194. C53×#464C22semidirect
196. C53×#452C22semidirect
199. C53×#441C22semidirect
200. C53×#440C22semidirect
201. C53×#440C22semidirect
202. C53×#432C22semidirect
865. #3111D53semidirect
919. #529C2×D53semidirect
927. C4×#41C2×D53semidirect
943. #485C2×D53semidirect
951. #482C2×D53semidirect
955. #479C2×D53semidirect
959. #478C2×D53semidirect
977. #464C2×D53semidirect
993. #452C2×D53semidirect
1007. #441C2×D53semidirect
1012. #440C2×D53semidirect
1013. #440C2×D53semidirect
1038. #432C2×D53semidirect
1051. C53#61501semidirect

Maximal subgroups

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

subgroupindex
#202887832
#202887772
#202877942
#202876732
#202873672
#202873592
#202872872
#202872642
#202872582
#202866302
#202866252
#202865682
#202865582
#202865572
#202865472
#202863212
#202862442
#202862332
#202853892
#202853812
#202852792
#202849332
#202849272
#202849032
#202848972
#202848262
#202836842
#202835462
#202835442
C4×#131332372
C53×#31112
#6150153