Finite Group Databasebeta

← #28279577

Subgroups — #28279577

Order 13568.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289224C211yesmaximal, characteristic, complemented
2#20288731C211yesmaximal, characteristic, complemented
3#20287786C211yesmaximal, characteristic, complemented
4#20287778C211yesmaximal, characteristic, complemented
5#20287532C211yesmaximal, characteristic, complemented
6#20287526C211yesmaximal, characteristic, complemented
7#20286944C211yesmaximal, characteristic, complemented
8#20286942C211yesmaximal, characteristic, complemented
9#20286865C211yesmaximal, characteristic, complemented
10#20286779C211yesmaximal, characteristic, complemented
11#20286777C211yesmaximal, characteristic, complemented
12#20286369C211yesmaximal, characteristic, complemented
13#20286365C211yesmaximal, characteristic, complemented
14#20286230C211yesmaximal, characteristic, complemented
15#20286221C211yesmaximal, characteristic, complemented
16#20286214C211yesmaximal, characteristic, complemented
17#20286207C211yesmaximal, characteristic, complemented
18#20286172C211yesmaximal, characteristic, complemented
19#20286170C211yesmaximal, characteristic, complemented
20#20286104C211yesmaximal, characteristic, complemented
21#20285807C211yesmaximal, characteristic, complemented
22#20285805C211yesmaximal, characteristic, complemented
23#20285719C211yesmaximal, characteristic, complemented
24#20284947C211yesmaximal, characteristic, complemented
25#20284939C211yesmaximal, characteristic, complemented
26#20284862C211yesmaximal, characteristic, complemented
27#20284239C211yesmaximal, characteristic, complemented
28#20284235C211yesmaximal, characteristic, complemented
29#20284204C211yesmaximal, characteristic, complemented
30#20283881C211yesmaximal, characteristic, complemented
31C53×#3319C211yesmaximal, characteristic, complemented
32C2×#13133250C2211yescharacteristic, complemented
33C2×#13133247C2211yescharacteristic, complemented
34C2×#13133246C2211yescharacteristic, complemented
35C2×#13133241C2211yescharacteristic
36C22×#11719913C2211yescharacteristic, complemented
37C22×#11719923C2211yescharacteristic, complemented
38#16811370—21no—
39#16811366—21no—
40#16811356C2211yescharacteristic
41#16811355C2211yescharacteristic
42#16811353C2211yescharacteristic, complemented
43#16811343C2211yescharacteristic, complemented
44#16811342—21no—
45#16811342—21no—
46#16811341—21no—
47#16811341C2211yescharacteristic, complemented
48#16811341C2211yescharacteristic, complemented
49#16811337—21no—
50D4×Dic106C2211yescharacteristic, complemented
51#16811283C2211yescharacteristic
52#16811280C2211yescharacteristic
53#16811279C2211yescharacteristic, complemented
54#16811279C2211yescharacteristic, complemented
55#16811270—21no—
56#16811269C2211yescharacteristic
57#16811263—21no—
58#16811257C2211yescharacteristic
59D4×C22⋊D53C2211yescharacteristic
60#16811246C2211yescharacteristic
61#16811240C2211yescharacteristic
62#16811240C2211yescharacteristic, complemented
63#16811240C2211yescharacteristic, complemented
64#16811237—21no—
65#16811237—21no—
66#16811211—21no—
67#16811209—21no—
68#16811205—21no—
69#16811190C2211yescharacteristic
70#16811187C2211yescharacteristic
71#16811183—21no—
72#16811178C2211yescharacteristic, complemented
73#16811176—21no—
74#16811170C2211yescharacteristic
75#16811155C2211yescharacteristic
76#16811154—21no—
77#124×D53C2211yescharacteristic
78#16811100C2211yescharacteristic, complemented
79#16811100C2211yescharacteristic, complemented
80C4×#11719947C2211yescharacteristic, complemented
81#16811018C2211yescharacteristic, complemented
82#16811017C2211yescharacteristic, complemented
83#16811011C2211yescharacteristic
84#16811011C2211yescharacteristic
85#16811006C2211yescharacteristic, complemented
86#16811004C2211yescharacteristic, complemented
87#16810985C2211yescharacteristic, complemented
88#16810984C2211yescharacteristic, complemented
89#16810981C2211yescharacteristic, complemented
90#16810968C2211yescharacteristic
91#16810968C2211yescharacteristic
92#16810964C2211yescharacteristic, complemented
93#16810949C2211yescharacteristic, complemented
94#16810947C2211yescharacteristic
95#16810945C2211yescharacteristic, complemented
96#16810917C2211yescharacteristic, complemented
97#16810917C2211yescharacteristic, complemented
98#16810917C2211yescharacteristic, complemented
99#16810916C2211yescharacteristic, complemented
100#16810907C2211yescharacteristic, complemented
101#16810902C2211yescharacteristic, complemented
102#16810901C2211yescharacteristic, complemented
103#16810901C2211yescharacteristic, complemented
104#16810900C2211yescharacteristic, complemented
105#16810870C2211yescharacteristic, complemented
106#16810870C2211yescharacteristic, complemented
107#16810869C2211yescharacteristic
108#16810868C2211yescharacteristic, complemented
109#16810868C2211yescharacteristic, complemented
110#16810867C2211yescharacteristic
111#16810867C2211yescharacteristic, complemented
112#16810864C2211yescharacteristic, complemented
113#16810862C2211yescharacteristic, complemented
114#16810857C2211yescharacteristic
115#16810848C2211yescharacteristic, complemented
116#16810848C2211yescharacteristic, complemented
117#16810848C2211yescharacteristic, complemented
118#16810848C2211yescharacteristic, complemented
119#16810848C2211yescharacteristic, complemented
120#16810846C2211yescharacteristic, complemented
121#16810844C2211yescharacteristic, complemented
122#16810844C2211yescharacteristic, complemented
123#16810844C2211yescharacteristic, complemented
124#16810844C2211yescharacteristic, complemented
125#16810844C2211yescharacteristic, complemented
126#16810844C2211yescharacteristic, complemented
127#16810843C2211yescharacteristic, complemented
128#16810842C2211yescharacteristic, complemented
129#16810840C2211yescharacteristic, complemented
130#16810838C2211yescharacteristic, complemented
131#16810837C2211yescharacteristic, complemented
132#16810836C2211yescharacteristic, complemented
133#16810836C2211yescharacteristic, complemented
134#16810829C2211yescharacteristic, complemented
135#16810828C2211yescharacteristic, complemented
136#16810822C2211yescharacteristic
137#16810822C2211yescharacteristic
138#16810822C2211yescharacteristic
139#16810822C2211yescharacteristic
140#16810822C2211yescharacteristic, complemented
141#16810822C2211yescharacteristic, complemented
142#16810822C2211yescharacteristic, complemented
143#16810816C2211yescharacteristic, complemented
144#16810787C2211yescharacteristic, complemented
145#16810785C2211yescharacteristic, complemented
146#16810781C2211yescharacteristic, complemented
147#16810780C2211yescharacteristic, complemented
148#16810780C2211yescharacteristic, complemented
149#16810778C2211yescharacteristic, complemented
150#16810776C2211yescharacteristic, complemented
151#16810775C2211yescharacteristic
152#16810775C2211yescharacteristic
153#16810774C2211yescharacteristic, complemented
154#16810769C2211yescharacteristic, complemented
155#16810766C2211yescharacteristic, complemented
156#16810765C2211yescharacteristic, complemented
157#16810764C2211yescharacteristic
158#16810761C2211yescharacteristic
159#16810756C2211yescharacteristic, complemented
160#16810752C2211yescharacteristic, complemented
161#16810751C2211yescharacteristic, complemented
162#16810733C2211yescharacteristic, complemented
163#16810729C2211yescharacteristic, complemented
164#16810727C2211yescharacteristic, complemented
165#16810725C2211yescharacteristic, complemented
166#16810723C2211yescharacteristic, complemented
167#16810722C2211yescharacteristic, complemented
168#16810720C2211yescharacteristic, complemented
169#16810717C2211yescharacteristic, complemented
170#16810715C2211yescharacteristic, complemented
171#16810714C2211yescharacteristic, complemented
172#16810710C2211yescharacteristic, complemented
173#16810699C2211yescharacteristic, complemented
174#16810698C2211yescharacteristic, complemented
175#16810695C2211yescharacteristic, complemented
176#16810694C2211yescharacteristic, complemented
177#16810691C2211yescharacteristic, complemented
178#16810681C2211yescharacteristic, complemented
179#16810681C2211yescharacteristic, complemented
180#16810678C2211yescharacteristic, complemented
181#16810651C2211yescharacteristic, complemented
182#16810649C2211yescharacteristic, complemented
183#16810645C2211yescharacteristic, complemented
184#16810630C2211yescharacteristic, complemented
185#16810627C2211yescharacteristic, complemented
186#16810626C2211yescharacteristic
187#16810617C2211yescharacteristic, complemented
188C53×#555C2211yescharacteristic, complemented
189C53×#546C2211yescharacteristic
190C53×#489C2211yescharacteristic, complemented
191C53×#485C2211yescharacteristic, complemented
192C53×#482C2211yescharacteristic
193C53×#474C2211yescharacteristic, complemented
194C53×#468C2211yescharacteristic, complemented
195C53×#466C2211yescharacteristic
196C53×#463C2211yescharacteristic, complemented
197C53×#449C2211yescharacteristic, complemented
198C53×#447C2211yescharacteristic, complemented
199C53×#442C2211yescharacteristic, complemented
200C53×#435C2211yescharacteristic, complemented
201C53×#418C2211yescharacteristic, complemented
202C53×#416C2211yescharacteristic, complemented
203C2×#11719945—21no—
204C2×#11719945C2311yescharacteristic
205C2×#11719947C2311yescharacteristic
206C22×Dic106C2311yescharacteristic
207C22×Dic106C2311yescharacteristic
208C2×Q8×D53C2311yescharacteristic
209C22×D212C2311yescharacteristic
210C22×C22⋊D53—21no—
211C2×D4×D53—21no—
212C2×D4×D53C2311yescharacteristic
213#13133250—42no—
214#13133247—42no—
215#13133246—42no—
216#13133241—42no—
217C2×Dic212C2311yescharacteristic
218C2×Dic212C2311yescharacteristic
219C2×Dic212C2311yescharacteristic
220C2×#11719925C2311yescharacteristic
221C2×#11719925C2311yescharacteristic
222C2×#11719925C2311yescharacteristic
223C2×#11719913—42no—
224C2×#11719913C2311yescharacteristic
225C2×#11719913C2311yescharacteristic
226C2×#11719913C2311yescharacteristic
227C2×#11719913C2311yescharacteristic
228C2×#11719913C2311yescharacteristic
229C2×#11719913C2311yescharacteristic
230C2×#11719923—42no—
231C2×#11719923C2311yescharacteristic
232C2×#11719923C2311yescharacteristic
233C2×#11719923C2311yescharacteristic
234C2×#11719923C2311yescharacteristic
235C2×#11719923C2311yescharacteristic
236C2×#11719923C2311yescharacteristic
237C2×#11719923C2311yescharacteristic
238C2×#11719922C2311yescharacteristic
239C2×#11719922C2311yescharacteristic
240C2×#11719917C2311yescharacteristic
241C2×#11719912C2311yescharacteristic
242C2×#11719912C2311yescharacteristic
243C22×#88322C2311yescharacteristic
244#13133217C2311yescharacteristic
245#13133216—21no—
246#13133216—21no—
247#13133216C2311yescharacteristic
248#13133216C2311yescharacteristic
249#13133216C2311yescharacteristic
250#13133215—21no—
251#13133215—21no—
252#13133213C2311yescharacteristic
253#13133213C2311yescharacteristic
254#13133213C2311yescharacteristic
255#13133212—21no—
256#13133211—21no—
257#13133211—21no—
258#13133210—21no—
259#13133210—21no—
260#13133210—21no—
261#13133210—21no—
262#13133210—21no—
263#13133210—21no—
264#13133210—21no—
265#13133210D411yescharacteristic
266#13133210D411yescharacteristic
267#13133208—21no—
268#13133208D411yescharacteristic
269#13133206C2311yescharacteristic
270#13133206C2311yescharacteristic
271#13133205C2311yescharacteristic
272#13133204—21no—
273#13133204—21no—
274#13133204—21no—
275#13133204—21no—
276#13133204D411yescharacteristic
277#13133204C2311yescharacteristic
278#13133204C2311yescharacteristic
279#13133204C2311yescharacteristic
280#13133204C2311yescharacteristic
281#13133203—21no—
282#13133203—21no—
283#13133203—21no—
284#13133203—21no—
285#13133203—21no—
286#13133203—21no—
287#13133203—21no—
288#13133203—21no—
289#13133203—21no—
290#13133203—21no—
291#13133203—21no—
292#13133202—21no—
293#13133201—21no—
294#13133200—21no—
295#13133199—21no—
296#13133199—21no—
297#13133199—21no—
298#13133199D411yescharacteristic
299#13133199D411yescharacteristic
300#13133198—21no—
301#13133198—21no—
302#13133198—21no—
303#13133197—21no—
304#13133197D411yescharacteristic
305#13133197C2311yescharacteristic
306#13133197C2311yescharacteristic
307#13133196—21no—
308#13133196—21no—
309#13133196C2311yescharacteristic
310#13133196C2311yescharacteristic
311#13133196C2311yescharacteristic
312#13133195—21no—
313#13133194—21no—
314#13133194—21no—
315#13133194—21no—
316#13133194—21no—
317#13133194—21no—
318#13133194—21no—
319#13133194—21no—
320#13133193—21no—
321#13133192C2311yescharacteristic
322#13133191—21no—
323#13133191—21no—
324#13133191C2311yescharacteristic
325#13133190—21no—
326#13133190—21no—
327#13133190—21no—
328#13133190—21no—
329#13133189—21no—
330#13133189—21no—
331#13133189—21no—
332#13133188—21no—
333#13133188—21no—
334#13133188—21no—
335#13133188D411yescharacteristic
336#13133188C2311yescharacteristic
337#13133187—21no—
338#13133186—21no—
339#13133186—21no—
340#13133186—21no—
341#13133185—21no—
342#13133185—21no—
343#13133185—21no—
344#13133185—21no—
345#13133185—21no—
346Q8×Dic53—21no—
347Q8×Dic53C2311yescharacteristic
348C4×Dic106—21no—
349C4×Dic106—21no—
350C4×Dic106—21no—
351C4×Dic106—21no—
352C4×Dic106—21no—
353C4×Dic106—21no—
354C4×Dic106C2311yescharacteristic
355C4×Dic106C2311yescharacteristic
356#13133182—21no—
357#13133182C2311yescharacteristic
358#13133182C2311yescharacteristic
359#13133182C2311yescharacteristic
360#13133182C2311yescharacteristic
361#13133182C2311yescharacteristic
362#13133182C2311yescharacteristic
363#13133182C2311yescharacteristic
364#13133182C2311yescharacteristic
365C4×D212C2311yescharacteristic
366D4×Dic53—21no—
367D4×Dic53—21no—
368D4×Dic53—21no—
369D4×Dic53C2311yescharacteristic
370D4×Dic53C2311yescharacteristic
371#13133179—21no—
372#13133179C2311yescharacteristic
373C4×C22⋊D53—21no—
374C4×C22⋊D53—21no—
375C4×C22⋊D53—21no—
376C4×C22⋊D53—21no—
377C4×C22⋊D53C2311yescharacteristic
378C4×C22⋊D53C2311yescharacteristic
379#13133177—21no—
380#13133177—21no—
381#13133176—21no—
382#13133176C2311yescharacteristic
383#13133176C2311yescharacteristic
384#13133175—21no—
385#13133175C2311yescharacteristic
386#13133173—21no—
387#13133173—21no—
388#13133173—21no—
389#13133173—21no—
390#13133173—21no—
391C22⋊C4×D53—21no—
392C22⋊C4×D53—21no—
393C22⋊C4×D53—21no—
394C2×C4×Dic53—21no—
395C42×D53C2311yescharacteristic
396#13133151C2311yescharacteristic
397#13133150C2311yescharacteristic
398#13133150C2311yescharacteristic
399#13133150C2311yescharacteristic
400#13133148C2311yescharacteristic
401C4⋊#88322C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133146C2311yescharacteristic
406#13133146C2311yescharacteristic
407#13133146C2311yescharacteristic
408#13133146C2311yescharacteristic
409#13133146C2311yescharacteristic
410#13133142C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133142C2311yescharacteristic
414#13133141C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133140C2311yescharacteristic
417#13133140C2311yescharacteristic
418#13133140C2311yescharacteristic
419#13133140C2311yescharacteristic
420#13133140C2311yescharacteristic
421#13133139C2311yescharacteristic
422#13133139C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431#13133137C2311yescharacteristic
432C22⋊#88322C2311yescharacteristic
433C22⋊#88322C2311yescharacteristic
434#13133129C2311yescharacteristic
435#13133129C2311yescharacteristic
436#13133128C2311yescharacteristic
437#13133127C2311yescharacteristic
438#13133127C2311yescharacteristic
439C8×Dic53C2311yescharacteristic
440C8×Dic53C2311yescharacteristic
441C2×#41×C53C2311yescharacteristic
442C22×D4×C53C2311yescharacteristic
443C2×SD16×C53C2311yescharacteristic
444C2×D8×C53C2311yescharacteristic
445C2×D8×C53C2311yescharacteristic
446C2×M16×C53C2311yescharacteristic
447C22×C8×C53C2311yescharacteristic
448C4⋊Q8×C53C2311yescharacteristic
449#124×C53—21no—
450#124×C53—21no—
451#124×C53C2311yescharacteristic
452#123×C53—21no—
453C22⋊Q8×C53C2311yescharacteristic
454#121×C53—21no—
455#121×C53—21no—
456#121×C53C2311yescharacteristic
457#121×C53C2311yescharacteristic
458#121×C53C2311yescharacteristic
459#120×C53—21no—
460C4×D4×C53C2311yescharacteristic
461C4×D4×C53C2311yescharacteristic
462C4×D4×C53C2311yescharacteristic
463#117×C53—21no—
464#117×C53C2311yescharacteristic
465#117×C53C2311yescharacteristic
466C2×C22⋊C4×C53—21no—
467#107×C53C2311yescharacteristic
468#107×C53C2311yescharacteristic
469#106×C53C2311yescharacteristic
470C4⋊C8×C53C2311yescharacteristic
471#103×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478#102×C53C2311yescharacteristic
479#102×C53C2311yescharacteristic
480#102×C53C2311yescharacteristic
481C22⋊C8×C53C2311yescharacteristic
482C22⋊C8×C53C2311yescharacteristic
483#97×C53C2311yescharacteristic
484C24×C53—21no—
485C23×D53—21no—
486C23×D53—21no—
487#41×C53—41no—
488#41×C53—41no—
489C2×Q8×C53—21no—
490C2×Q8×C53C2411yescharacteristic
491C2×D4×C53—21no—
492C2×D4×C53—21no—
493C2×D4×C53—21no—
494C2×D4×C53—21no—
495C2×D4×C53—21no—
496C2×D4×C53—41no—
497C2×D4×C53—41no—
498C2×D4×C53C2×D411yescharacteristic
499C2×D4×C53C2411yescharacteristic
500C2×D4×C53C2411yescharacteristic
501C2×D4×C53C2411yescharacteristic
502C22×C4×C53—21no—
503C22×C4×C53—21no—
504C22×C4×C53—21no—
505C22×C4×C53C2411yescharacteristic
506C22×C4×C53C2411yescharacteristic
507C2×C22⋊D53—21no—
508C2×C22⋊D53—21no—
509C2×C22⋊D53—21no—
510C2×C22⋊D53—21no—
511C2×C22⋊D53—21no—
512C2×C22⋊D53—21no—
513C2×C22⋊D53—21no—
514C2×C22⋊D53—21no—
515C2×C22⋊D53—21no—
516C2×C22⋊D53—21no—
517C2×C22⋊D53—21no—
518C2×C22⋊D53—82no—
519C2×C22⋊D53C2×D411yescharacteristic
520C2×C22⋊D53C2×D411yescharacteristic
521C22×Dic53—21no—
522C22×Dic53—21no—
523C22×Dic53—21no—
524C22×Dic53—21no—
525C22×Dic53—21no—
526Q8×D53—41no—
527Q8×D53—41no—
528#11719947—22no—
529#11719947—41no—
530D4×D53—41no—
531D4×D53—41no—
532D4×D53—82no—
533#11719945—41no—
534#11719945—41no—
535#11719945—82no—
536C2×D212—21no—
537C2×D212—21no—
538C2×D212—41no—
539C2×D212—41no—
540C2×D212C2411yescharacteristic
541C2×D212C2411yescharacteristic
542C2×C4×D53—21no—
543C2×C4×D53—21no—
544C2×C4×D53—21no—
545C2×C4×D53—21no—
546C2×C4×D53C2×D411yescharacteristic
547C2×C4×D53C2×D411yescharacteristic
548C2×C4×D53C2411yescharacteristic
549C2×Dic106—22no—
550C2×Dic106—22no—
551C2×Dic106—21no—
552C2×Dic106—21no—
553C2×Dic106—21no—
554C2×Dic106—21no—
555C2×Dic106—21no—
556C2×Dic106—21no—
557C2×Dic106—41no—
558C2×Dic106—41no—
559C2×Dic106C2×D411yescharacteristic
560C2×Dic106C2411yescharacteristic
561C2×Dic106C2411yescharacteristic
562C2×Dic106C2411yescharacteristic
563C2×Dic106C2411yescharacteristic
564SD16×C53—41no—
565D8×C53—41no—
566D8×C53—41no—
567M16×C53—41no—
568C2×C8×C53—41no—
569C2×C8×C53C2411yescharacteristic
570C2×C8×C53C2411yescharacteristic
571C2×C8×C53C2411yescharacteristic
572C2×C8×C53C2411yescharacteristic
573C4⋊C4×C53—21no—
574C4⋊C4×C53—21no—
575C4⋊C4×C53C2×D411yescharacteristic
576C4⋊C4×C53C2411yescharacteristic
577C4⋊C4×C53C2411yescharacteristic
578C4⋊C4×C53C2411yescharacteristic
579C4⋊C4×C53C2411yescharacteristic
580C22⋊C4×C53—21no—
581C22⋊C4×C53—21no—
582C22⋊C4×C53—21no—
583C22⋊C4×C53—21no—
584C22⋊C4×C53—21no—
585C22⋊C4×C53—21no—
586C22⋊C4×C53—21no—
587C22⋊C4×C53—21no—
588C22⋊C4×C53—21no—
589C22⋊C4×C53—21no—
590C22⋊C4×C53C2×D411yescharacteristic
591C22⋊C4×C53C2×D411yescharacteristic
592C42×C53—21no—
593C42×C53—21no—
594C42×C53C2411yescharacteristic
595C22⋊Dic53—21no—
596C22⋊Dic53—21no—
597C22⋊Dic53—21no—
598C22⋊Dic53—21no—
599C22⋊Dic53—21no—
600C22⋊Dic53—21no—
601C22⋊Dic53—21no—
602C22⋊Dic53—21no—
603C22⋊Dic53—21no—
604C22⋊Dic53—21no—
605C22⋊Dic53—21no—
606C22⋊Dic53—21no—
607C22⋊Dic53—21no—
608C22⋊Dic53—21no—
609C22⋊Dic53C2×D411yescharacteristic
610C22⋊Dic53C2×D411yescharacteristic
611C22⋊Dic53C2×D411yescharacteristic
612C22⋊Dic53C2×D411yescharacteristic
613C22⋊Dic53C2×D411yescharacteristic
614C22⋊Dic53C2×D411yescharacteristic
615#11719925—22no—
616#11719925—41no—
617#11719925—41no—
618#11719923—22no—
619#11719923—22no—
620#11719923—41no—
621#11719923—41no—
622#11719923—41no—
623#11719923—41no—
624#11719923—41no—
625#11719922—41no—
626#11719922—41no—
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#11719921—21no—
639#11719921—21no—
640#11719921C2×D411yescharacteristic
641#11719921C2×D411yescharacteristic
642C4⋊Dic53—21no—
643C4⋊Dic53—21no—
644C4⋊Dic53—21no—
645C4⋊Dic53—21no—
646C4⋊Dic53—21no—
647C4⋊Dic53C2×D411yescharacteristic
648C4⋊Dic53C2×D411yescharacteristic
649C4⋊Dic53C2×D411yescharacteristic
650C4⋊Dic53C2×D411yescharacteristic
651C4⋊Dic53C2×D411yescharacteristic
652C4⋊Dic53C2411yescharacteristic
653C4⋊Dic53C2411yescharacteristic
654#11719919—21no—
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#11719919C2×D411yescharacteristic
670#11719919C2×D411yescharacteristic
671#11719919C2×D411yescharacteristic
672#11719919C2×D411yescharacteristic
673C4×Dic53—21no—
674C4×Dic53—21no—
675C4×Dic53—21no—
676C4×Dic53—21no—
677C4×Dic53—21no—
678C4×Dic53—21no—
679C4×Dic53—21no—
680C4×Dic53—21no—
681C4×Dic53—21no—
682C4×Dic53—21no—
683C4×Dic53—21no—
684C4×Dic53C2×D411yescharacteristic
685C4×Dic53C2×D411yescharacteristic
686C4×Dic53C2411yescharacteristic
687C4×Dic53C2411yescharacteristic
688C4×Dic53C2411yescharacteristic
689#11719917—41no—
690C2×#88322—41no—
691C2×#88322C2411yescharacteristic
692C2×#88322C2411yescharacteristic
693C2×#88322C2411yescharacteristic
694C2×#88322C2411yescharacteristic
695Dic212—22no—
696Dic212—41no—
697Dic212—41no—
698#11719913—22no—
699#11719913—22no—
700#11719913—41no—
701#11719913—41no—
702#11719913—41no—
703#11719913—41no—
704#11719912—41no—
705#11719912—41no—
706C23×C53—21no—
707C23×C53—21no—
708C23×C53—21no—
709C23×C53—81no—
710C23×C53—81no—
711C23×C53—81no—
712C23×C53C22×D411yescharacteristic
713C23×C53C22×D411yescharacteristic
714C22×D53—21no—
715C22×D53—21no—
716C22×D53—42no—
717C22×D53—81no—
718C22×D53—81no—
719C22×D53—81no—
720C22×D53—81no—
721C22×D53—81no—
722C22×D53C22×D411yescharacteristic
723Q8×C53—21no—
724Q8×C53—21no—
725Q8×C53—81no—
726D4×C53—21no—
727D4×C53—21no—
728D4×C53—21no—
729D4×C53—21no—
730D4×C53—21no—
731D4×C53—21no—
732D4×C53—41no—
733D4×C53—81no—
734D4×C53—81no—
735D4×C53—81no—
736D4×C53—81no—
737D4×C53—81no—
738C2×C4×C53—21no—
739C2×C4×C53—21no—
740C2×C4×C53—21no—
741C2×C4×C53—21no—
742C2×C4×C53—21no—
743C2×C4×C53—21no—
744C2×C4×C53—21no—
745C2×C4×C53—21no—
746C2×C4×C53—21no—
747C2×C4×C53—42no—
748C2×C4×C53—81no—
749C2×C4×C53—81no—
750C2×C4×C53C22×D411yescharacteristic
751C2×C4×C53C22×D411yescharacteristic
752C2×C4×C53C22×D411yescharacteristic
753C2×C4×C53C22×D411yescharacteristic
754C2×C4×C53C2511yescharacteristic
755C22⋊D53—41no—
756C22⋊D53—41no—
757C22⋊D53—42no—
758C22⋊D53—42no—
759C22⋊D53—81no—
760C22⋊D53—81no—
761C22⋊D53—81no—
762C22⋊D53—81no—
763C22⋊D53—81no—
764C22⋊D53—81no—
765C22⋊D53—81no—
766C22⋊D53—81no—
767C22⋊D53—81no—
768C2×Dic53—21no—
769C2×Dic53—21no—
770C2×Dic53—21no—
771C2×Dic53—21no—
772C2×Dic53—21no—
773C2×Dic53—21no—
774C2×Dic53—42no—
775C2×Dic53—42no—
776C2×Dic53—42no—
777C2×Dic53—81no—
778C2×Dic53—81no—
779C2×Dic53C22×D411yescharacteristic
780C2×Dic53C22×D411yescharacteristic
781C2×Dic53C22×D411yescharacteristic
782C2×Dic53C22×D411yescharacteristic
783C2×Dic53C22×D411yescharacteristic
784C2×Dic53C22×D411yescharacteristic
785C2×Dic53C22×D411yescharacteristic
786D212—21no—
787D212—21no—
788D212—21no—
789D212—21no—
790D212—42no—
791D212—81no—
792C4×D53—21no—
793C4×D53—21no—
794C4×D53—41no—
795C4×D53—41no—
796C4×D53—81no—
797C4×D53—81no—
798C4×D53—81no—
799C4×D53—81no—
800Dic106—21no—
801Dic106—21no—
802Dic106—21no—
803Dic106—21no—
804Dic106—21no—
805Dic106—21no—
806Dic106—21no—
807Dic106—41no—
808Dic106—42no—
809Dic106—42no—
810Dic106—81no—
811Dic106—81no—
812Dic106—81no—
813Dic106—81no—
814Dic106H(5,𝔽2)12yes—
815C8×C53—21no—
816C8×C53—21no—
817C8×C53—21no—
818C8×C53—21no—
819#88322—21no—
820#88322—21no—
821#88322—21no—
822#88322—21no—
823#62092—531nomaximal, Sylow
824C22×C53—21no—
825C22×C53—21no—
826C22×C53—21no—
827C22×C53—21no—
828C22×C53—21no—
829C22×C53—21no—
830C22×C53—41no—
831C22×C53—41no—
832C22×C53—41no—
833C22×C53—41no—
834C22×C53—41no—
835C22×C53—41no—
836C22×C53—41no—
837C22×C53—41no—
838C22×C53—41no—
839C22×C53—162no—
840C22×C53C23×D411yescharacteristic
841C2×D53—21no—
842C2×D53—21no—
843C2×D53—21no—
844C2×D53—41no—
845C2×D53—41no—
846C2×D53—41no—
847C2×D53—41no—
848C2×D53—41no—
849C2×D53—41no—
850C2×D53—162no—
851C2×D53—162no—
852C4×C53—21no—
853C4×C53—21no—
854C4×C53—21no—
855C4×C53—21no—
856C4×C53—41no—
857C4×C53—41no—
858C4×C53—41no—
859C4×C53—41no—
860C4×C53—41no—
861C4×C53C2×H(5,𝔽2)11yescharacteristic
862C4×C53#58511yescharacteristic
863Dic53—21no—
864Dic53—21no—
865Dic53—21no—
866Dic53—21no—
867Dic53—21no—
868Dic53—21no—
869Dic53—22no—
870Dic53—21no—
871Dic53—41no—
872Dic53—41no—
873Dic53—41no—
874Dic53—41no—
875Dic53—41no—
876#3558—531no—
877#3518—531no—
878#3401—531no—
879#3401—531no—
880#3375—531no—
881#3375—531no—
882#3324—531no—
883#3324—531no—
884#3319—531no—
885#3319D5311yescharacteristic, complemented
886#3313—531no—
887#3313—531no—
888#3277—531no—
889#3277—531no—
890#3266—531no—
891#3266—531no—
892#3265—531no—
893#3265—531no—
894#3262—531no—
895#3262—531no—
896#3254—531no—
897#3224—531no—
898#3224—531no—
899#3215—531no—
900#3121—531no—
901#3121—531no—
902#3115—531no—
903#3043—531no—
904#3043—531no—
905#3040—531no—
906#2995—531no—
907C2×C53—41no—
908C2×C53—41no—
909C2×C53—81no—
910C2×C53—81no—
911C2×C53—81no—
912C2×C53#348811yescharacteristic
913C2×C53#358511yescharacteristic
914C2×C53#358611yescharacteristic
915D53—41no—
916D53—81no—
917D53—81no—
918C2×#137—531no—
919C2×#137—531no—
920C2×#137—531no—
921C2×AGL(1,ℤ/8)—531no—
922C22×SD16—531no—
923C22×SD16—531no—
924#562—1061no—
925H(3,𝔽4)—1061no—
926#559—531no—
927#559—531no—
928Q82—531no—
929#556—531no—
930#556—531no—
931#556—531no—
932#556—1061no—
933#556—1061no—
934#556—1061no—
935#555—1061no—
936#555C2×D5311yescharacteristic, complemented
937D4×Q8—531no—
938#548—531no—
939#548—531no—
940#548—531no—
941#548—531no—
942#546—531no—
943#546—1061no—
944#546—1061no—
945#546C2×D5311yescharacteristic
946D42—531no—
947D42—531no—
948#542—531no—
949#542—531no—
950#542—531no—
951#542—531no—
952#542—1061no—
953#542—1061no—
954#538—1061no—
955#538—1061no—
956#538—1061no—
957#535—531no—
958#535—531no—
959#534—1061no—
960#533—531no—
961#533—1061no—
962#532—531no—
963#529—531no—
964#529—1061no—
965C2×#124—531no—
966#519—531no—
967#519—531no—
968C4×#41—531no—
969#497—531no—
970#497—531no—
971#496—531no—
972#496—531no—
973#495—531no—
974#495—531no—
975#489—531no—
976#489—531no—
977#489—531no—
978#489C2×D5311yescharacteristic, complemented
979#486—531no—
980#486—531no—
981#485—531no—
982#485C2×D5311yescharacteristic, complemented
983#482—531no—
984#482—531no—
985#482—531no—
986#482C2×D5311yescharacteristic
987#477—531no—
988#477—531no—
989#477—531no—
990#477—531no—
991#475—531no—
992#474—531no—
993#474—531no—
994#474—531no—
995#474—531no—
996#474C2×D5311yescharacteristic, complemented
997#468—531no—
998#468—531no—
999#468—531no—
1000#468—531no—
1001#468—531no—
1002#468—531no—
1003#468—531no—
1004#468C2×D5311yescharacteristic, complemented
1005#467—531no—
1006#467—531no—
1007#466—531no—
1008#466C2×D5311yescharacteristic
1009#464—531no—
1010#464—531no—
1011#464—531no—
1012#464—531no—
1013#464—531no—
1014#464—531no—
1015#464—531no—
1016#464—531no—
1017#464—531no—
1018#464—531no—
1019#464—531no—
1020#464—531no—
1021#464—531no—
1022#464—531no—
1023#463—531no—
1024#463—531no—
1025#463—531no—
1026#463—531no—
1027#463—531no—
1028#463C2×D5311yescharacteristic, complemented
1029#461—531no—
1030#461—531no—
1031#460—531no—
1032#460—531no—
1033#460—531no—
1034#460—531no—
1035#460—531no—
1036#460—531no—
1037#460—531no—
1038#459—531no—
1039#452—531no—
1040#452—531no—
1041#451—531no—
1042#451—531no—
1043#451—531no—
1044#451—531no—
1045#450—531no—
1046#450—531no—
1047#450—531no—
1048#450—531no—
1049#449—531no—
1050#449—531no—
1051#449—531no—
1052#449C2×D5311yescharacteristic, complemented
1053#448—531no—
1054#448—531no—
1055#447—531no—
1056#447C2×D5311yescharacteristic, complemented
1057#446—531no—
1058#446—531no—
1059#442—531no—
1060#442C2×D5311yescharacteristic, complemented
1061#441—531no—
1062#441—531no—
1063#440—531no—
1064#440—531no—
1065#440—531no—
1066#440—531no—
1067C4×Q16—531no—
1068C4×Q16—531no—
1069C4×SD16—531no—
1070C4×SD16—531no—
1071#436—531no—
1072#436—531no—
1073#435—531no—
1074#435—531no—
1075#435—531no—
1076#435C2×D5311yescharacteristic, complemented
1077#433—531no—
1078#433—531no—
1079#432—531no—
1080#424—531no—
1081#424—531no—
1082#423—531no—
1083#419—531no—
1084#418—531no—
1085#418—531no—
1086#418C2×D5311yescharacteristic, complemented
1087#416—531no—
1088#416C2×D5311yescharacteristic, complemented
1089C53#6209211yescharacteristic, complemented, Sylow
1090C2×#41—531no—
1091C2×#41—531no—
1092C2×#41—1061no—
1093C2×#41C22×D5311yescharacteristic
1094C22×Q8—531no—
1095C22×Q8—531no—
1096C22×Q8—531no—
1097C22×D4—531no—
1098C22×D4—531no—
1099C22×D4—1061no—
1100C22×D4—1061no—
1101C22×D4C22×D5311yescharacteristic
1102#137—2122no—
1103#137—2122no—
1104#137—2122no—
1105AGL(1,ℤ/8)—2122no—
1106C2×Q16—531no—
1107C2×Q16—531no—
1108C2×Q16—531no—
1109C2×Q16—531no—
1110C2×Q16—531no—
1111C2×Q16—531no—
1112C2×SD16—531no—
1113C2×SD16—531no—
1114C2×SD16—531no—
1115C2×SD16—531no—
1116C2×SD16—531no—
1117C2×SD16—531no—
1118C2×SD16—531no—
1119C2×SD16—531no—
1120C2×SD16—531no—
1121C2×SD16—531no—
1122C2×SD16—531no—
1123C2×SD16—531no—
1124C2×SD16—531no—
1125C2×SD16—2122no—
1126C2×SD16—2122no—
1127C2×SD16C22×D5311yescharacteristic
1128C2×D8—531no—
1129C2×D8—531no—
1130C2×D8C22×D5311yescharacteristic
1131C2×D8C22×D5311yescharacteristic
1132C2×M16—531no—
1133C2×M16—531no—
1134C2×M16—531no—
1135C2×M16C22×D5311yescharacteristic
1136C22×C8—531no—
1137C22×C8C22×D5311yescharacteristic
1138C4⋊Q8—531no—
1139C4⋊Q8—531no—
1140C4⋊Q8—531no—
1141C4⋊Q8—531no—
1142C4⋊Q8—1061no—
1143C4⋊Q8—1061no—
1144C4⋊Q8—1061no—
1145C4⋊Q8—1061no—
1146C4⋊Q8C22×D5311yescharacteristic
1147#127—531no—
1148#127—531no—
1149#127—531no—
1150#126—531no—
1151#126—531no—
1152#126—1061no—
1153#126—1061no—
1154#126—1061no—
1155#126—1061no—
1156#126—1061no—
1157#126—1061no—
1158#126—1061no—
1159#126—1061no—
1160#126—1061no—
1161#126—1061no—
1162#125—531no—
1163#125—1061no—
1164#124—21no—
1165#124—21no—
1166#124—531no—
1167#124—531no—
1168#124—531no—
1169#124—531no—
1170#124—531no—
1171#124—531no—
1172#124—531no—
1173#124—531no—
1174#124—1061no—
1175#124—1061no—
1176#124—1061no—
1177#124—1061no—
1178#124—1061no—
1179#124—1061no—
1180#124—1061no—
1181#124—1061no—
1182#124—1061no—
1183#124—1061no—
1184#124—1061no—
1185#124—1061no—
1186#124—1061no—
1187#124—1061no—
1188#124—1061no—
1189#124C22×D5311yescharacteristic
1190#123—21no—
1191#123—531no—
1192#123—531no—
1193#123—1061no—
1194#123—1061no—
1195#123—1061no—
1196#123—1061no—
1197#123—1061no—
1198#123—1061no—
1199#123—1061no—
1200#123—1061no—
1201#123—1061no—
1202C22⋊Q8—531no—
1203C22⋊Q8—531no—
1204C22⋊Q8—531no—
1205C22⋊Q8—531no—
1206C22⋊Q8—531no—
1207C22⋊Q8—531no—
1208C22⋊Q8—1061no—
1209C22⋊Q8—1061no—
1210C22⋊Q8—1061no—
1211C22⋊Q8—1061no—
1212C22⋊Q8—1061no—
1213C22⋊Q8—1061no—
1214C22⋊Q8—1061no—
1215C22⋊Q8—1061no—
1216C22⋊Q8—1061no—
1217C22⋊Q8—1061no—
1218C22⋊Q8—1061no—
1219C22⋊Q8—1061no—
1220C22⋊Q8C22×D5311yescharacteristic
1221#121—21no—
1222#121—21no—
1223#121—531no—
1224#121—531no—
1225#121—531no—
1226#121—531no—
1227#121—1061no—
1228#121—1061no—
1229#121—1061no—
1230#121—1061no—
1231#121—1061no—
1232#121—1061no—
1233#121—1061no—
1234#121—1061no—
1235#121—1061no—
1236#121—1061no—
1237#121—1061no—
1238#121—1061no—
1239#121C22×D5311yescharacteristic
1240#121C22×D5311yescharacteristic
1241#121C22×D5311yescharacteristic
1242#120—21no—
1243#120—1061no—
1244#120—1061no—
1245#120—1061no—
1246#120—1061no—
1247#120—1061no—
1248#120—1061no—
1249#120—1061no—
1250#120—1061no—
1251#120—1061no—
1252C4×Q8—531no—
1253C4×Q8—531no—
1254C4×Q8—531no—
1255C4×Q8—531no—
1256C4×Q8—531no—
1257C4×Q8—531no—
1258C4×Q8—531no—
1259C4×Q8—531no—
1260C4×Q8—531no—
1261C4×Q8—531no—
1262C4×Q8—531no—
1263C4×Q8—1061no—
1264C4×Q8—1061no—
1265C4×Q8—1061no—
1266C4×Q8—1061no—
1267C4×Q8—1061no—
1268C4×Q8—1061no—
1269C4×Q8—1061no—
1270C4×Q8—1061no—
1271C4×D4—531no—
1272C4×D4—531no—
1273C4×D4—531no—
1274C4×D4—531no—
1275C4×D4—531no—
1276C4×D4—531no—
1277C4×D4—1061no—
1278C4×D4—1061no—
1279C4×D4—1061no—
1280C4×D4—1061no—
1281C4×D4—1061no—
1282C4×D4—1061no—
1283C4×D4—1061no—
1284C4×D4—1061no—
1285C4×D4—1061no—
1286C4×D4—1061no—
1287C4×D4C22×D5311yescharacteristic
1288C4×D4C22×D5311yescharacteristic
1289C4×D4C22×D5311yescharacteristic
1290#117—21no—
1291#117—531no—
1292#117—531no—
1293#117—531no—
1294#117—1061no—
1295#117—1061no—
1296#117—1061no—
1297#117—1061no—
1298#117—1061no—
1299#117—1061no—
1300#117—1061no—
1301#117C22×D5311yescharacteristic
1302#117C22×D5311yescharacteristic
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—1061no—
1305C2×C22⋊C4—1061no—
1306C2×C22⋊C4—1061no—
1307C2×C42—531no—
1308C2×C42—1061no—
1309#107—531no—
1310#107—531no—
1311#107—531no—
1312#107—531no—
1313#107C22×D5311yescharacteristic
1314#107C22×D5311yescharacteristic
1315#106—531no—
1316#106C22×D5311yescharacteristic
1317C4⋊C8—531no—
1318C4⋊C8—531no—
1319C4⋊C8—531no—
1320C4⋊C8—531no—
1321C4⋊C8—531no—
1322C4⋊C8—531no—
1323C4⋊C8—531no—
1324C4⋊C8—531no—
1325C4⋊C8—531no—
1326C4⋊C8C22×D5311yescharacteristic
1327#103—531no—
1328#103—531no—
1329#103—531no—
1330#103—531no—
1331#103—531no—
1332#103—531no—
1333#103—531no—
1334#103—531no—
1335#103—531no—
1336#103—531no—
1337#103—531no—
1338#103C22×D5311yescharacteristic
1339#103C22×D5311yescharacteristic
1340#103C22×D5311yescharacteristic
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#102C22×D5311yescharacteristic
1353#102C22×D5311yescharacteristic
1354#102C22×D5311yescharacteristic
1355#102C22×D5311yescharacteristic
1356#102C22×D5311yescharacteristic
1357#102C22×D5311yescharacteristic
1358#102C22×D5311yescharacteristic
1359C22⋊C8—531no—
1360C22⋊C8—531no—
1361C22⋊C8—531no—
1362C22⋊C8—531no—
1363C22⋊C8C22×D5311yescharacteristic
1364C22⋊C8C22×D5311yescharacteristic
1365#97—531no—
1366#97—531no—
1367#97—531no—
1368#97C22×D5311yescharacteristic
1369C4×C8—531no—
1370C4×C8—531no—
1371C24—21no—
1372C24—1061no—
1373C24—1061no—
1374#41—41no—
1375#41—41no—
1376#41—1062no—
1377#41—4242no—
1378#41—2121no—
1379#41—2121no—
1380#41—2121no—
1381C2×Q8—21no—
1382C2×Q8—531no—
1383C2×Q8—531no—
1384C2×Q8—531no—
1385C2×Q8—531no—
1386C2×Q8—531no—
1387C2×Q8—1061no—
1388C2×Q8—1061no—
1389C2×Q8—1061no—
1390C2×Q8—1061no—
1391C2×Q8—1062no—
1392C2×Q8—1062no—
1393C2×Q8—1061no—
1394C2×Q8—1061no—
1395C2×Q8—2121no—
1396C2×Q8—2121no—
1397C2×Q8—2121no—
1398C2×Q8—2121no—
1399C2×Q8C23×D5311yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—531no—
1408C2×D4—531no—
1409C2×D4—531no—
1410C2×D4—531no—
1411C2×D4—1061no—
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—1061no—
1421C2×D4—1061no—
1422C2×D4—1061no—
1423C2×D4—1061no—
1424C2×D4—4242no—
1425C2×D4—4242no—
1426C2×D4—2121no—
1427C2×D4—2121no—
1428C2×D4—2121no—
1429C2×D4—2121no—
1430C2×D4D4×D5311yescharacteristic
1431C2×D4C23×D5311yescharacteristic
1432C2×D4C23×D5311yescharacteristic
1433C2×D4C23×D5311yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—531no—
1438C22×C4—531no—
1439C22×C4—531no—
1440C22×C4—1061no—
1441C22×C4—1061no—
1442C22×C4—1061no—
1443C22×C4—1061no—
1444C22×C4—1061no—
1445C22×C4—1061no—
1446C22×C4—1061no—
1447C22×C4—1061no—
1448C22×C4—1061no—
1449C22×C4C23×D5311yescharacteristic
1450C22×C4C23×D5311yescharacteristic
1451Q16—1062no—
1452Q16—1062no—
1453Q16—2121no—
1454Q16—2121no—
1455Q16—2121no—
1456Q16—2121no—
1457SD16—41no—
1458SD16—1062no—
1459SD16—1062no—
1460SD16—1062no—
1461SD16—1062no—
1462SD16—2121no—
1463SD16—2121no—
1464SD16—2121no—
1465SD16—2121no—
1466SD16—2121no—
1467SD16—2121no—
1468SD16—2121no—
1469SD16—2121no—
1470SD16—2121no—
1471D8—41no—
1472D8—41no—
1473D8—2121no—
1474D8—2121no—
1475M16—41no—
1476M16—2121no—
1477M16—2121no—
1478M16—2121no—
1479C2×C8—41no—
1480C2×C8—531no—
1481C2×C8—531no—
1482C2×C8—531no—
1483C2×C8—531no—
1484C2×C8—2121no—
1485C2×C8C23×D5311yescharacteristic
1486C2×C8C23×D5311yescharacteristic
1487C2×C8C23×D5311yescharacteristic
1488C2×C8C23×D5311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—531no—
1492C4⋊C4—531no—
1493C4⋊C4—531no—
1494C4⋊C4—531no—
1495C4⋊C4—531no—
1496C4⋊C4—531no—
1497C4⋊C4—531no—
1498C4⋊C4—531no—
1499C4⋊C4—531no—
1500C4⋊C4—531no—
1501C4⋊C4—531no—
1502C4⋊C4—1061no—
1503C4⋊C4—1061no—
1504C4⋊C4—1061no—
1505C4⋊C4—1061no—
1506C4⋊C4—1061no—
1507C4⋊C4—1061no—
1508C4⋊C4—1061no—
1509C4⋊C4—1061no—
1510C4⋊C4—1061no—
1511C4⋊C4—1061no—
1512C4⋊C4—1061no—
1513C4⋊C4—1061no—
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⋊C4D4×D5311yescharacteristic
1523C4⋊C4C23×D5311yescharacteristic
1524C4⋊C4C23×D5311yescharacteristic
1525C4⋊C4C23×D5311yescharacteristic
1526C4⋊C4C23×D5311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—531no—
1538C22⋊C4—531no—
1539C22⋊C4—531no—
1540C22⋊C4—531no—
1541C22⋊C4—531no—
1542C22⋊C4—531no—
1543C22⋊C4—531no—
1544C22⋊C4—531no—
1545C22⋊C4—1061no—
1546C22⋊C4—1061no—
1547C22⋊C4—1061no—
1548C22⋊C4—1061no—
1549C22⋊C4—1061no—
1550C22⋊C4—1061no—
1551C22⋊C4—1061no—
1552C22⋊C4—1061no—
1553C22⋊C4—1061no—
1554C22⋊C4—1061no—
1555C22⋊C4—1061no—
1556C22⋊C4—1061no—
1557C22⋊C4—1061no—
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⋊C4D4×D5311yescharacteristic
1573C22⋊C4D4×D5311yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—531no—
1577C42—531no—
1578C42—531no—
1579C42—531no—
1580C42—531no—
1581C42—1061no—
1582C42—1061no—
1583C42—1061no—
1584C42—1061no—
1585C42—1061no—
1586C42—1061no—
1587C42—1061no—
1588C42—1061no—
1589C42—1061no—
1590C42—1061no—
1591C42—1061no—
1592C42C23×D5311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—81no—
1597C23—81no—
1598C23—81no—
1599C23—531no—
1600C23—1061no—
1601C23—1061no—
1602C23—4241no—
1603C23—4241no—
1604C23—4241no—
1605C23—4241no—
1606C23—4241no—
1607C23—2122no—
1608C23C2×D4×D5311yescharacteristic
1609C23C2×D4×D5311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—81no—
1613Q8—532no—
1614Q8—1061no—
1615Q8—1061no—
1616Q8—1061no—
1617Q8—1061no—
1618Q8—1061no—
1619Q8—1061no—
1620Q8—1061no—
1621Q8—4241no—
1622Q8—4241no—
1623Q8—4241no—
1624Q8—4241no—
1625Q8—2121no—
1626Q8—2122no—
1627Q8—2122no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—41no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—1061no—
1641D4—1061no—
1642D4—1061no—
1643D4—1061no—
1644D4—4241no—
1645D4—4241no—
1646D4—4241no—
1647D4—4241no—
1648D4—4241no—
1649D4—4241no—
1650D4—4241no—
1651D4—4241no—
1652D4—4241no—
1653D4—4241no—
1654D4—2122no—
1655D4—2121no—
1656D4—2121no—
1657D4—2122no—
1658D4—2122no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—42no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—531no—
1672C2×C4—531no—
1673C2×C4—531no—
1674C2×C4—531no—
1675C2×C4—531no—
1676C2×C4—531no—
1677C2×C4—531no—
1678C2×C4—1061no—
1679C2×C4—1061no—
1680C2×C4—1061no—
1681C2×C4—1061no—
1682C2×C4—1061no—
1683C2×C4—1061no—
1684C2×C4—1061no—
1685C2×C4—1061no—
1686C2×C4—4241no—
1687C2×C4—4241no—
1688C2×C4—4241no—
1689C2×C4—4241no—
1690C2×C4—4241no—
1691C2×C4—4241no—
1692C2×C4—2121no—
1693C2×C4—2121no—
1694C2×C4—2122no—
1695C2×C4—2122no—
1696C2×C4—2122no—
1697C2×C4C2×D4×D5311yescharacteristic
1698C2×C4C2×D4×D5311yescharacteristic
1699C2×C4C2×D4×D5311yescharacteristic
1700C2×C4C2×D4×D5311yescharacteristic
1701C2×C4C24×D5311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1061no—
1707C8—1061no—
1708C8—1061no—
1709C8—1061no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—162no—
1726C22—8482no—
1727C22—8482no—
1728C22—1061no—
1729C22—1061no—
1730C22—1061no—
1731C22—2121no—
1732C22—2121no—
1733C22—2121no—
1734C22—2121no—
1735C22—2121no—
1736C22—2121no—
1737C22C22×D4×D5311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—1061no—
1748C4—1062no—
1749C4—1061no—
1750C4—1061no—
1751C4—1061no—
1752C4—1061no—
1753C4—1061no—
1754C4—1061no—
1755C4—2121no—
1756C4—2121no—
1757C4—2121no—
1758C4—2121no—
1759C4—2121no—
1760C4H(5,𝔽2)×D5311yescharacteristic
1761C4#1681145911yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—4241no—
1768C2—4241no—
1769C2—2121no—
1770C2#2028837811yescharacteristic
1771C2#2028949011yescharacteristic
1772C2#2028949911yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3319C2
socleC22×C53C23×D4
hypercenter#3319D53
hypocenterC53#62092
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #20289224C2semidirect
2. #20288731C2semidirect
3. #20287786C2semidirect
4. #20287778C2semidirect
5. #20287532C2semidirect
6. #20287526C2semidirect
7. #20286944C2semidirect
8. #20286942C2semidirect
9. #20286865C2semidirect
10. #20286779C2semidirect
11. #20286777C2semidirect
12. #20286369C2semidirect
13. #20286365C2semidirect
14. #20286230C2semidirect
15. #20286221C2semidirect
16. #20286214C2semidirect
17. #20286207C2semidirect
18. #20286172C2semidirect
19. #20286170C2semidirect
20. #20286104C2semidirect
21. #20285807C2semidirect
22. #20285805C2semidirect
23. #20285719C2semidirect
24. #20284947C2semidirect
25. #20284939C2semidirect
26. #20284862C2semidirect
27. #20284239C2semidirect
28. #20284235C2semidirect
29. #20284204C2semidirect
30. #20283881C2semidirect
31. C53×#3319C2semidirect
32. C2×#13133250C22semidirect
33. C2×#13133247C22semidirect
34. C2×#13133246C22semidirect
36. C22×#11719913C22semidirect
37. C22×#11719923C22semidirect
42. #16811353C22semidirect
43. #16811343C22semidirect
47. #16811341C22semidirect
48. #16811341C22semidirect
50. D4×Dic106C22semidirect
53. #16811279C22semidirect
54. #16811279C22semidirect
62. #16811240C22semidirect
63. #16811240C22semidirect
72. #16811178C22semidirect
78. #16811100C22semidirect
79. #16811100C22semidirect
80. C4×#11719947C22semidirect
81. #16811018C22semidirect
82. #16811017C22semidirect
85. #16811006C22semidirect
86. #16811004C22semidirect
87. #16810985C22semidirect
88. #16810984C22semidirect
89. #16810981C22semidirect
92. #16810964C22semidirect
93. #16810949C22semidirect
95. #16810945C22semidirect
96. #16810917C22semidirect
97. #16810917C22semidirect
98. #16810917C22semidirect
99. #16810916C22semidirect
100. #16810907C22semidirect
101. #16810902C22semidirect
102. #16810901C22semidirect
103. #16810901C22semidirect
104. #16810900C22semidirect
105. #16810870C22semidirect
106. #16810870C22semidirect
108. #16810868C22semidirect
109. #16810868C22semidirect
111. #16810867C22semidirect
112. #16810864C22semidirect
113. #16810862C22semidirect
115. #16810848C22semidirect
116. #16810848C22semidirect
117. #16810848C22semidirect
118. #16810848C22semidirect
119. #16810848C22semidirect
120. #16810846C22semidirect
121. #16810844C22semidirect
122. #16810844C22semidirect
123. #16810844C22semidirect
124. #16810844C22semidirect
125. #16810844C22semidirect
126. #16810844C22semidirect
127. #16810843C22semidirect
128. #16810842C22semidirect
129. #16810840C22semidirect
130. #16810838C22semidirect
131. #16810837C22semidirect
132. #16810836C22semidirect
133. #16810836C22semidirect
134. #16810829C22semidirect
135. #16810828C22semidirect
140. #16810822C22semidirect
141. #16810822C22semidirect
142. #16810822C22semidirect
143. #16810816C22semidirect
144. #16810787C22semidirect
145. #16810785C22semidirect
146. #16810781C22semidirect
147. #16810780C22semidirect
148. #16810780C22semidirect
149. #16810778C22semidirect
150. #16810776C22semidirect
153. #16810774C22semidirect
154. #16810769C22semidirect
155. #16810766C22semidirect
156. #16810765C22semidirect
159. #16810756C22semidirect
160. #16810752C22semidirect
161. #16810751C22semidirect
162. #16810733C22semidirect
163. #16810729C22semidirect
164. #16810727C22semidirect
165. #16810725C22semidirect
166. #16810723C22semidirect
167. #16810722C22semidirect
168. #16810720C22semidirect
169. #16810717C22semidirect
170. #16810715C22semidirect
171. #16810714C22semidirect
172. #16810710C22semidirect
173. #16810699C22semidirect
174. #16810698C22semidirect
175. #16810695C22semidirect
176. #16810694C22semidirect
177. #16810691C22semidirect
178. #16810681C22semidirect
179. #16810681C22semidirect
180. #16810678C22semidirect
181. #16810651C22semidirect
182. #16810649C22semidirect
183. #16810645C22semidirect
184. #16810630C22semidirect
185. #16810627C22semidirect
187. #16810617C22semidirect
188. C53×#555C22semidirect
190. C53×#489C22semidirect
191. C53×#485C22semidirect
193. C53×#474C22semidirect
194. C53×#468C22semidirect
196. C53×#463C22semidirect
197. C53×#449C22semidirect
198. C53×#447C22semidirect
199. C53×#442C22semidirect
200. C53×#435C22semidirect
201. C53×#418C22semidirect
202. C53×#416C22semidirect
885. #3319D53semidirect
936. #555C2×D53semidirect
978. #489C2×D53semidirect
982. #485C2×D53semidirect
996. #474C2×D53semidirect
1004. #468C2×D53semidirect
1028. #463C2×D53semidirect
1052. #449C2×D53semidirect
1056. #447C2×D53semidirect
1060. #442C2×D53semidirect
1076. #435C2×D53semidirect
1086. #418C2×D53semidirect
1088. #416C2×D53semidirect
1089. C53#62092semidirect

Maximal subgroups

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

subgroupindex
#202892242
#202887312
#202877862
#202877782
#202875322
#202875262
#202869442
#202869422
#202868652
#202867792
#202867772
#202863692
#202863652
#202862302
#202862212
#202862142
#202862072
#202861722
#202861702
#202861042
#202858072
#202858052
#202857192
#202849472
#202849392
#202848622
#202842392
#202842352
#202842042
#202838812
C53×#33192
#6209253