Finite Group Databasebeta

← #28270658

Subgroups — #28270658

Order 13568.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288996C211yesmaximal, characteristic, complemented
2#20288379C211yesmaximal, characteristic, complemented
3#20287051C211yesmaximal, characteristic, complemented
4#20286986C211yesmaximal, characteristic, complemented
5#20286941C211yesmaximal, characteristic, complemented
6#20286922C211yesmaximal, characteristic, complemented
7#20286794C211yesmaximal, characteristic, complemented
8#20286787C211yesmaximal, characteristic, complemented
9#20286734C211yesmaximal, characteristic, complemented
10#20286727C211yesmaximal, characteristic, complemented
11#20286378C211yesmaximal, characteristic, complemented
12#20286369C211yesmaximal, characteristic, complemented
13#20286339C211yesmaximal, characteristic, complemented
14#20286308C211yesmaximal, characteristic, complemented
15#20286293C211yesmaximal, characteristic, complemented
16#20286274C211yesmaximal, characteristic, complemented
17#20286222C211yesmaximal, characteristic, complemented
18#20286207C211yesmaximal, characteristic, complemented
19#20285807C211yesmaximal, characteristic, complemented
20#20285785C211yesmaximal, characteristic, complemented
21#20285591C211yesmaximal, characteristic, complemented
22#20285528C211yesmaximal, characteristic, complemented
23#20285520C211yesmaximal, characteristic, complemented
24#20284972C211yesmaximal, characteristic, complemented
25#20284924C211yesmaximal, characteristic, complemented
26#20284016C211yesmaximal, characteristic, complemented
27#20283994C211yesmaximal, characteristic, complemented
28#20283972C211yesmaximal, characteristic, complemented
29#20283953C211yesmaximal, characteristic, complemented
30#20283773C211yesmaximal, characteristic, complemented
31C53×#3203C211yesmaximal, characteristic, complemented
32C2×#13133263C2211yescharacteristic
33C2×#41×D53C2211yescharacteristic
34C2×#13133250C2211yescharacteristic, complemented
35C2×#13133249C2211yescharacteristic, complemented
36C2×#13133246C2211yescharacteristic, complemented
37C2×#13133246C2211yescharacteristic, complemented
38C2×#13133242C2211yescharacteristic, complemented
39C2×#13133241C2211yescharacteristic, complemented
40C2×#13133237C2211yescharacteristic, complemented
41C22×#11719913C2211yescharacteristic, complemented
42#16811374—21no—
43#16811368—21no—
44#16811344C2211yescharacteristic, complemented
45#16811328C2211yescharacteristic, complemented
46#16811327—21no—
47#16811320—21no—
48#16811320C2211yescharacteristic, complemented
49#16811308C2211yescharacteristic, complemented
50#16811291C2211yescharacteristic
51#16811291C2211yescharacteristic
52#16811286C2211yescharacteristic, complemented
53#16811283C2211yescharacteristic
54#16811283C2211yescharacteristic
55#16811280C2211yescharacteristic, complemented
56#16811279C2211yescharacteristic, complemented
57#16811272C2211yescharacteristic, complemented
58#16811264C2211yescharacteristic
59#16811264C2211yescharacteristic
60#16811262—21no—
61#16811262—21no—
62#16811257—21no—
63#16811257—21no—
64#16811257C2211yescharacteristic
65#16811257C2211yescharacteristic
66#16811240—21no—
67#16811240C2211yescharacteristic, complemented
68#16811233C2211yescharacteristic, complemented
69#16811218—21no—
70#16811205—21no—
71#16811205—21no—
72#16811203—21no—
73#16811194C2211yescharacteristic, complemented
74#16811189—21no—
75#16811187C2211yescharacteristic
76#16811136—21no—
77#16811133C2211yescharacteristic, complemented
78#16811130C2211yescharacteristic
79C22⋊Q8×D53C2211yescharacteristic, complemented
80C2×#13133192C2211yescharacteristic
81#121×D53—21no—
82#16811104C2211yescharacteristic
83#16811016C2211yescharacteristic, complemented
84#16811011C2211yescharacteristic, complemented
85#16811004C2211yescharacteristic, complemented
86#16810994C2211yescharacteristic, complemented
87#16810986C2211yescharacteristic, complemented
88#16810984C2211yescharacteristic, complemented
89#16810979C2211yescharacteristic, complemented
90#16810968C2211yescharacteristic, complemented
91#16810961C2211yescharacteristic, complemented
92#16810958C2211yescharacteristic, complemented
93#16810953C2211yescharacteristic, complemented
94#16810950C2211yescharacteristic, complemented
95#16810950C2211yescharacteristic, complemented
96#16810944C2211yescharacteristic, complemented
97#16810938C2211yescharacteristic, complemented
98#16810938C2211yescharacteristic, complemented
99#16810929C2211yescharacteristic, complemented
100#16810926C2211yescharacteristic, complemented
101#16810917C2211yescharacteristic, complemented
102#16810902C2211yescharacteristic, complemented
103#16810879C2211yescharacteristic, complemented
104#16810875C2211yescharacteristic, complemented
105#16810875C2211yescharacteristic, complemented
106#16810872C2211yescharacteristic, complemented
107#16810872C2211yescharacteristic, complemented
108#16810870C2211yescharacteristic, complemented
109#16810870C2211yescharacteristic, complemented
110#16810870C2211yescharacteristic, complemented
111#16810870C2211yescharacteristic, complemented
112#16810867C2211yescharacteristic, complemented
113#16810862C2211yescharacteristic, complemented
114#16810850C2211yescharacteristic, complemented
115#16810848C2211yescharacteristic, complemented
116#16810848C2211yescharacteristic, complemented
117#16810847C2211yescharacteristic, complemented
118#16810844C2211yescharacteristic, complemented
119#16810840C2211yescharacteristic, complemented
120#16810837C2211yescharacteristic, complemented
121#16810832C2211yescharacteristic, complemented
122#16810827C2211yescharacteristic, complemented
123#16810822C2211yescharacteristic, complemented
124#16810822C2211yescharacteristic, complemented
125#16810821C2211yescharacteristic, complemented
126#16810816C2211yescharacteristic, complemented
127#16810788C2211yescharacteristic, complemented
128#16810787C2211yescharacteristic
129#16810787C2211yescharacteristic
130#16810787C2211yescharacteristic, complemented
131#16810787C2211yescharacteristic, complemented
132#16810786C2211yescharacteristic, complemented
133#16810785C2211yescharacteristic, complemented
134#16810785C2211yescharacteristic, complemented
135#16810783C2211yescharacteristic
136#16810783C2211yescharacteristic, complemented
137#16810780C2211yescharacteristic, complemented
138#16810778C2211yescharacteristic, complemented
139#16810777C2211yescharacteristic, complemented
140#16810776C2211yescharacteristic, complemented
141#16810776C2211yescharacteristic, complemented
142#16810776C2211yescharacteristic, complemented
143#16810776C2211yescharacteristic, complemented
144#16810775C2211yescharacteristic, complemented
145#16810773C2211yescharacteristic, complemented
146#16810773C2211yescharacteristic, complemented
147#16810772C2211yescharacteristic, complemented
148#16810769C2211yescharacteristic, complemented
149#16810769C2211yescharacteristic, complemented
150#16810767C2211yescharacteristic, complemented
151#16810766C2211yescharacteristic
152#16810766C2211yescharacteristic, complemented
153#16810765C2211yescharacteristic, complemented
154#16810763C2211yescharacteristic, complemented
155#16810763C2211yescharacteristic, complemented
156#16810761C2211yescharacteristic, complemented
157#16810756C2211yescharacteristic, complemented
158#16810756C2211yescharacteristic, complemented
159#16810727C2211yescharacteristic, complemented
160#16810722C2211yescharacteristic, complemented
161#16810722C2211yescharacteristic, complemented
162#16810720C2211yescharacteristic, complemented
163#16810717C2211yescharacteristic, complemented
164#16810717C2211yescharacteristic, complemented
165#16810708C2211yescharacteristic, complemented
166#16810703C2211yescharacteristic, complemented
167#16810699C2211yescharacteristic, complemented
168#16810699C2211yescharacteristic, complemented
169#16810698C2211yescharacteristic, complemented
170#16810698C2211yescharacteristic, complemented
171#16810694C2211yescharacteristic, complemented
172#16810694C2211yescharacteristic, complemented
173#16810691C2211yescharacteristic, complemented
174#16810691C2211yescharacteristic, complemented
175#16810681C2211yescharacteristic, complemented
176#16810681C2211yescharacteristic, complemented
177#16810630C2211yescharacteristic, complemented
178#16810629C2211yescharacteristic, complemented
179#16810626C2211yescharacteristic, complemented
180#16810623C2211yescharacteristic, complemented
181#16810622C2211yescharacteristic, complemented
182#16810621C2211yescharacteristic, complemented
183#16810620C2211yescharacteristic, complemented
184C2×#13133137C2211yescharacteristic, complemented
185#16810590C2211yescharacteristic, complemented
186#16810585C2211yescharacteristic, complemented
187#16810585C2211yescharacteristic, complemented
188C53×#537C2211yescharacteristic
189C53×#537C2211yescharacteristic, complemented
190C53×#484C2211yescharacteristic, complemented
191C53×#484C2211yescharacteristic, complemented
192C53×#480C2211yescharacteristic, complemented
193C53×#480C2211yescharacteristic, complemented
194C53×#468C2211yescharacteristic, complemented
195C53×#468C2211yescharacteristic, complemented
196C53×#467C2211yescharacteristic, complemented
197C53×#466C2211yescharacteristic, complemented
198C53×#452C2211yescharacteristic, complemented
199C53×#452C2211yescharacteristic, complemented
200C53×#449C2211yescharacteristic, complemented
201C53×#449C2211yescharacteristic, complemented
202C53×#408C2211yescharacteristic, complemented
203#13133263—42no—
204#13133263—42no—
205C2×#11719949—21no—
206C2×#11719949C2311yescharacteristic
207C2×#11719945—21no—
208C2×#11719945C2311yescharacteristic
209C2×#11719945C2311yescharacteristic
210C2×#11719945C2311yescharacteristic
211C2×#11719947—21no—
212C2×#11719947C2311yescharacteristic
213C2×#11719947C2311yescharacteristic
214#41×D53—42no—
215#41×D53—42no—
216C22×Dic106C2311yescharacteristic
217C2×Q8×D53C2311yescharacteristic
218C2×Q8×D53C2311yescharacteristic
219C22×D212—21no—
220C22×D212C2311yescharacteristic
221C22×D212C2311yescharacteristic
222C22×D212C2311yescharacteristic
223C2×D4×D53—21no—
224C2×D4×D53—21no—
225C2×D4×D53—21no—
226C2×D4×D53—21no—
227C2×D4×D53—21no—
228C2×D4×D53—21no—
229C2×D4×D53C2311yescharacteristic
230C22×C4×D53—21no—
231C22×C4×D53C2311yescharacteristic
232#13133250—42no—
233#13133249—42no—
234#13133246—42no—
235#13133246—42no—
236#13133242—42no—
237#13133241—42no—
238#13133237—42no—
239C2×Dic212C2311yescharacteristic
240C2×Dic212C2311yescharacteristic
241C2×#11719925C2311yescharacteristic
242C2×#11719925C2311yescharacteristic
243C2×#11719925C2311yescharacteristic
244C2×#11719913—42no—
245C2×#11719913C2311yescharacteristic
246C2×#11719913C2311yescharacteristic
247C2×#11719913C2311yescharacteristic
248C2×#11719913C2311yescharacteristic
249C2×#11719913C2311yescharacteristic
250C2×#11719913C2311yescharacteristic
251C2×#11719923C2311yescharacteristic
252C2×#11719923C2311yescharacteristic
253C2×#11719923C2311yescharacteristic
254C2×#11719924C2311yescharacteristic
255C2×#11719924C2311yescharacteristic
256C2×#11719924C2311yescharacteristic
257C2×#11719922C2311yescharacteristic
258C2×#11719922C2311yescharacteristic
259C2×#11719922C2311yescharacteristic
260C2×#11719917C2311yescharacteristic
261C2×#11719912C2311yescharacteristic
262C2×#11719912C2311yescharacteristic
263C2×#11719912C2311yescharacteristic
264C2×#11719912C2311yescharacteristic
265C22×#88322C2311yescharacteristic
266#13133216—21no—
267#13133216C2311yescharacteristic
268#13133215—21no—
269#13133215C2311yescharacteristic
270#13133213—21no—
271#13133213—21no—
272#13133213C2311yescharacteristic
273#13133213C2311yescharacteristic
274#13133212—21no—
275#13133212—21no—
276#13133210—21no—
277#13133210—21no—
278#13133210—21no—
279#13133210—21no—
280#13133210—21no—
281#13133208—21no—
282#13133208C2311yescharacteristic
283#13133207—21no—
284#13133207—21no—
285#13133207—21no—
286#13133206C2311yescharacteristic
287#13133206C2311yescharacteristic
288#13133204—21no—
289#13133204—21no—
290#13133204—21no—
291#13133204C2311yescharacteristic
292#13133203—21no—
293#13133203—21no—
294#13133203—21no—
295#13133203—21no—
296#13133202—21no—
297#13133202—21no—
298#13133200—21no—
299#13133200—21no—
300#13133199—21no—
301#13133198—21no—
302#13133198—21no—
303#13133198—21no—
304#13133198—21no—
305#13133198—21no—
306#13133198D411yescharacteristic
307#13133198D411yescharacteristic
308#13133197C2311yescharacteristic
309#13133197C2311yescharacteristic
310#13133196—21no—
311#13133196—21no—
312#13133196C2311yescharacteristic
313#13133196C2311yescharacteristic
314#13133196C2311yescharacteristic
315#13133196C2311yescharacteristic
316#13133195—21no—
317#13133195—21no—
318#13133195—21no—
319#13133195—21no—
320#13133195—21no—
321#13133194—21no—
322#13133194—21no—
323#13133194—21no—
324#13133194—21no—
325#13133193D411yescharacteristic
326#13133193D411yescharacteristic
327#13133193C2311yescharacteristic
328#13133192—21no—
329#13133192—21no—
330#13133192—21no—
331#13133192—21no—
332#13133192C2311yescharacteristic
333#13133192C2311yescharacteristic
334#13133192C2311yescharacteristic
335#13133192C2311yescharacteristic
336#13133191—21no—
337#13133191—21no—
338#13133190—21no—
339#13133190—21no—
340#13133190—21no—
341#13133190—21no—
342#13133190—21no—
343#13133190—21no—
344#13133189—21no—
345#13133189—21no—
346#13133189—21no—
347#13133189—21no—
348#13133188—21no—
349#13133188—21no—
350#13133188D411yescharacteristic
351#13133188D411yescharacteristic
352#13133188C2311yescharacteristic
353#13133187—21no—
354#13133187—21no—
355#13133187—21no—
356#13133187—21no—
357#13133185—21no—
358#13133185—21no—
359#13133185—21no—
360#13133185—21no—
361#13133185—21no—
362#13133185D411yescharacteristic
363#13133185D411yescharacteristic
364Q8×Dic53C2311yescharacteristic
365#13133182—21no—
366#13133182C2311yescharacteristic
367#13133182C2311yescharacteristic
368#13133182C2311yescharacteristic
369#13133182C2311yescharacteristic
370D4×Dic53—21no—
371D4×Dic53—21no—
372D4×Dic53C2311yescharacteristic
373#13133179—21no—
374#13133179—21no—
375#13133179C2311yescharacteristic
376#13133179C2311yescharacteristic
377C4×C22⋊D53—21no—
378C4×C22⋊D53—21no—
379C4×C22⋊D53—21no—
380C4×C22⋊D53—21no—
381C4×C22⋊D53C2311yescharacteristic
382C4×C22⋊D53C2311yescharacteristic
383C4×C22⋊D53C2311yescharacteristic
384C4×C22⋊D53C2311yescharacteristic
385#13133177—21no—
386#13133177—21no—
387#13133177—21no—
388#13133177—21no—
389#13133177—21no—
390#13133176—21no—
391#13133176C2311yescharacteristic
392#13133176C2311yescharacteristic
393#13133175—21no—
394#13133175C2311yescharacteristic
395C2×#11719919—21no—
396C4⋊C4×D53—21no—
397C4⋊C4×D53—21no—
398C4⋊C4×D53C2311yescharacteristic
399C2×#11719921—21no—
400C22⋊C4×D53—21no—
401C22⋊C4×D53—21no—
402C22⋊C4×D53—21no—
403#13133150C2311yescharacteristic
404#13133150C2311yescharacteristic
405#13133148C2311yescharacteristic
406#13133148C2311yescharacteristic
407#13133146C2311yescharacteristic
408#13133146C2311yescharacteristic
409#13133146C2311yescharacteristic
410#13133146C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133141C2311yescharacteristic
414#13133141C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133140C2311yescharacteristic
417#13133140C2311yescharacteristic
418#13133140C2311yescharacteristic
419#13133140C2311yescharacteristic
420#13133140C2311yescharacteristic
421#13133139C2311yescharacteristic
422#13133139C2311yescharacteristic
423#13133139C2311yescharacteristic
424#13133139C2311yescharacteristic
425#13133139C2311yescharacteristic
426#13133139C2311yescharacteristic
427#13133138C2311yescharacteristic
428#13133138C2311yescharacteristic
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431#13133137C2311yescharacteristic
432#13133137C2311yescharacteristic
433#13133137C2311yescharacteristic
434#13133137C2311yescharacteristic
435C22⋊#88322C2311yescharacteristic
436C22⋊#88322C2311yescharacteristic
437C22⋊#88322C2311yescharacteristic
438C22⋊#88322C2311yescharacteristic
439#13133129C2311yescharacteristic
440#13133129C2311yescharacteristic
441#13133129C2311yescharacteristic
442#13133129C2311yescharacteristic
443#13133127C2311yescharacteristic
444#13133127C2311yescharacteristic
445C8×Dic53C2311yescharacteristic
446C8×Dic53C2311yescharacteristic
447C2×#41×C53C2311yescharacteristic
448C2×#41×C53C2311yescharacteristic
449C2×#41×C53C2311yescharacteristic
450C2×Q16×C53C2311yescharacteristic
451C2×SD16×C53C2311yescharacteristic
452C2×SD16×C53C2311yescharacteristic
453C2×D8×C53C2311yescharacteristic
454C2×M16×C53C2311yescharacteristic
455C22×C8×C53C2311yescharacteristic
456C22⋊Q8×C53—21no—
457C22⋊Q8×C53—21no—
458C22⋊Q8×C53C2311yescharacteristic
459C22⋊Q8×C53C2311yescharacteristic
460C22⋊Q8×C53C2311yescharacteristic
461C22⋊Q8×C53C2311yescharacteristic
462#121×C53—21no—
463#121×C53—21no—
464#121×C53—21no—
465#121×C53—21no—
466#121×C53—21no—
467#121×C53—21no—
468#121×C53C2311yescharacteristic
469#121×C53C2311yescharacteristic
470#121×C53C2311yescharacteristic
471#121×C53C2311yescharacteristic
472C2×C4⋊C4×C53C2311yescharacteristic
473C2×C4⋊C4×C53C2311yescharacteristic
474#107×C53C2311yescharacteristic
475#107×C53C2311yescharacteristic
476#107×C53C2311yescharacteristic
477#107×C53C2311yescharacteristic
478#103×C53C2311yescharacteristic
479#103×C53C2311yescharacteristic
480#103×C53C2311yescharacteristic
481#103×C53C2311yescharacteristic
482#102×C53C2311yescharacteristic
483#102×C53C2311yescharacteristic
484#102×C53C2311yescharacteristic
485#102×C53C2311yescharacteristic
486C22⋊C8×C53C2311yescharacteristic
487C22⋊C8×C53C2311yescharacteristic
488C22⋊C8×C53C2311yescharacteristic
489C22⋊C8×C53C2311yescharacteristic
490C23×D53—21no—
491C23×D53—21no—
492C23×D53—21no—
493C23×D53—21no—
494C23×D53C2×D411yescharacteristic
495#41×C53—41no—
496#41×C53—41no—
497#41×C53—41no—
498#41×C53—41no—
499#41×C53—41no—
500#41×C53—41no—
501C2×Q8×C53C2×D411yescharacteristic
502C2×Q8×C53C2411yescharacteristic
503C2×Q8×C53C2411yescharacteristic
504C2×D4×C53—21no—
505C2×D4×C53—21no—
506C2×D4×C53—21no—
507C2×D4×C53—21no—
508C2×D4×C53—21no—
509C2×D4×C53—21no—
510C2×D4×C53C2×D411yescharacteristic
511C2×D4×C53C2×D411yescharacteristic
512C2×D4×C53C2×D411yescharacteristic
513C2×D4×C53C2411yescharacteristic
514C2×D4×C53C2411yescharacteristic
515C22×C4×C53—21no—
516C22×C4×C53—21no—
517C22×C4×C53—21no—
518C22×C4×C53—21no—
519C22×C4×C53C2411yescharacteristic
520C22×C4×C53C2411yescharacteristic
521C22×C4×C53C2411yescharacteristic
522C2×C22⋊D53—21no—
523C2×C22⋊D53—21no—
524C2×C22⋊D53—21no—
525C2×C22⋊D53—21no—
526C2×C22⋊D53—21no—
527C2×C22⋊D53—21no—
528C2×C22⋊D53—21no—
529C2×C22⋊D53—21no—
530C2×C22⋊D53—21no—
531C2×C22⋊D53—21no—
532C2×C22⋊D53—21no—
533C2×C22⋊D53C2×D411yescharacteristic
534C2×C22⋊D53C2×D411yescharacteristic
535C2×C22⋊D53C2×D411yescharacteristic
536C2×C22⋊D53C2×D411yescharacteristic
537C22×Dic53—21no—
538C22×Dic53—21no—
539C22×Dic53—21no—
540C22×Dic53—21no—
541C22×Dic53C2×D411yescharacteristic
542#11719949—22no—
543#11719949—41no—
544#11719949—44no—
545Q8×D53—22no—
546Q8×D53—41no—
547Q8×D53—41no—
548Q8×D53—41no—
549#11719947—22no—
550#11719947—41no—
551#11719947—41no—
552#11719947—41no—
553#11719947—44no—
554D4×D53—22no—
555D4×D53—41no—
556D4×D53—44no—
557D4×D53—44no—
558D4×D53—44no—
559D4×D53—44no—
560D4×D53—82no—
561D4×D53—82no—
562#11719945—22no—
563#11719945—22no—
564#11719945—22no—
565#11719945—22no—
566#11719945—41no—
567#11719945—41no—
568#11719945—44no—
569C2×D212—22no—
570C2×D212—22no—
571C2×D212—21no—
572C2×D212—21no—
573C2×D212—21no—
574C2×D212—21no—
575C2×D212—21no—
576C2×D212—21no—
577C2×D212—21no—
578C2×D212—21no—
579C2×D212—41no—
580C2×D212—41no—
581C2×D212—41no—
582C2×D212—41no—
583C2×D212—82no—
584C2×D212C2411yescharacteristic
585C2×D212C2411yescharacteristic
586C2×D212C2411yescharacteristic
587C2×C4×D53—21no—
588C2×C4×D53—21no—
589C2×C4×D53—21no—
590C2×C4×D53—21no—
591C2×C4×D53—21no—
592C2×C4×D53—21no—
593C2×C4×D53—21no—
594C2×C4×D53—21no—
595C2×C4×D53—21no—
596C2×C4×D53—41no—
597C2×C4×D53—41no—
598C2×C4×D53—44no—
599C2×C4×D53C2×D411yescharacteristic
600C2×C4×D53C2×D411yescharacteristic
601C2×C4×D53C2411yescharacteristic
602C2×C4×D53C2411yescharacteristic
603C2×Dic106—21no—
604C2×Dic106—21no—
605C2×Dic106—21no—
606C2×Dic106—21no—
607C2×Dic106—41no—
608C2×Dic106—41no—
609C2×Dic106C2411yescharacteristic
610C2×Dic106C2411yescharacteristic
611C2×Dic106C2411yescharacteristic
612Q16×C53—41no—
613SD16×C53—41no—
614SD16×C53—41no—
615D8×C53—41no—
616M16×C53—41no—
617C2×C8×C53—41no—
618C2×C8×C53C2411yescharacteristic
619C2×C8×C53C2411yescharacteristic
620C2×C8×C53C2411yescharacteristic
621C2×C8×C53C2411yescharacteristic
622C4⋊C4×C53—21no—
623C4⋊C4×C53—21no—
624C4⋊C4×C53—21no—
625C4⋊C4×C53—21no—
626C4⋊C4×C53—21no—
627C4⋊C4×C53—21no—
628C4⋊C4×C53C2411yescharacteristic
629C4⋊C4×C53C2411yescharacteristic
630C4⋊C4×C53C2411yescharacteristic
631C4⋊C4×C53C2411yescharacteristic
632C22⋊C4×C53—21no—
633C22⋊C4×C53—21no—
634C22⋊C4×C53—21no—
635C22⋊C4×C53—21no—
636C22⋊C4×C53—21no—
637C22⋊C4×C53—21no—
638C22⋊C4×C53—21no—
639C22⋊C4×C53—21no—
640C22⋊Dic53—21no—
641C22⋊Dic53—21no—
642C22⋊Dic53—21no—
643C22⋊Dic53—21no—
644C22⋊Dic53—21no—
645C22⋊Dic53—21no—
646C22⋊Dic53—21no—
647C22⋊Dic53—21no—
648C22⋊Dic53—21no—
649C22⋊Dic53C2×D411yescharacteristic
650C22⋊Dic53C2×D411yescharacteristic
651C22⋊Dic53C2×D411yescharacteristic
652C22⋊Dic53C2×D411yescharacteristic
653C22⋊Dic53C2×D411yescharacteristic
654C22⋊Dic53C2×D411yescharacteristic
655#11719925—22no—
656#11719925—41no—
657#11719925—41no—
658#11719924—22no—
659#11719924—41no—
660#11719924—41no—
661#11719923—22no—
662#11719923—41no—
663#11719923—41no—
664#11719922—22no—
665#11719922—41no—
666#11719922—41no—
667#11719921—21no—
668#11719921—21no—
669#11719921—21no—
670#11719921—21no—
671#11719921—21no—
672#11719921—21no—
673#11719921—21no—
674#11719921—21no—
675#11719921—21no—
676#11719921—21no—
677#11719921—21no—
678#11719921—21no—
679#11719921—21no—
680#11719921—21no—
681#11719921C2×D411yescharacteristic
682#11719921C2×D411yescharacteristic
683#11719921C2×D411yescharacteristic
684#11719921C2×D411yescharacteristic
685C4⋊Dic53—21no—
686C4⋊Dic53—21no—
687C4⋊Dic53—21no—
688C4⋊Dic53—21no—
689C4⋊Dic53C2×D411yescharacteristic
690C4⋊Dic53C2×D411yescharacteristic
691C4⋊Dic53C2411yescharacteristic
692C4⋊Dic53C2411yescharacteristic
693#11719919—21no—
694#11719919—21no—
695#11719919—21no—
696#11719919—21no—
697#11719919—21no—
698#11719919—21no—
699#11719919—21no—
700#11719919—21no—
701#11719919—21no—
702#11719919—21no—
703#11719919—21no—
704#11719919—21no—
705#11719919—21no—
706#11719919—21no—
707#11719919C2×D411yescharacteristic
708#11719919C2×D411yescharacteristic
709#11719919C2×D411yescharacteristic
710#11719919C2×D411yescharacteristic
711C4×Dic53—21no—
712C4×Dic53—21no—
713C4×Dic53—21no—
714C4×Dic53—21no—
715C4×Dic53—21no—
716C4×Dic53—21no—
717C4×Dic53—21no—
718C4×Dic53C2411yescharacteristic
719C4×Dic53C2411yescharacteristic
720#11719917—41no—
721C2×#88322—41no—
722C2×#88322C2411yescharacteristic
723C2×#88322C2411yescharacteristic
724C2×#88322C2411yescharacteristic
725C2×#88322C2411yescharacteristic
726Dic212—22no—
727Dic212—22no—
728#11719913—22no—
729#11719913—22no—
730#11719913—41no—
731#11719913—41no—
732#11719913—41no—
733#11719913—41no—
734#11719912—41no—
735#11719912—41no—
736#11719912—41no—
737#11719912—41no—
738C23×C53—21no—
739C23×C53—21no—
740C23×C53C22×D411yescharacteristic
741C23×C53C22×D411yescharacteristic
742C23×C53C22×D411yescharacteristic
743C22×D53—21no—
744C22×D53—21no—
745C22×D53—21no—
746C22×D53—41no—
747C22×D53—41no—
748C22×D53—41no—
749C22×D53—42no—
750C22×D53—42no—
751C22×D53—42no—
752C22×D53—42no—
753C22×D53—42no—
754C22×D53—81no—
755C22×D53—81no—
756C22×D53—81no—
757C22×D53—81no—
758C22×D53—81no—
759C22×D53—81no—
760C22×D53—81no—
761C22×D53C22×D411yescharacteristic
762C22×D53C22×D411yescharacteristic
763Q8×C53—21no—
764Q8×C53—21no—
765Q8×C53—21no—
766Q8×C53—21no—
767Q8×C53—41no—
768D4×C53—21no—
769D4×C53—21no—
770D4×C53—21no—
771D4×C53—21no—
772D4×C53—41no—
773D4×C53—41no—
774D4×C53—41no—
775D4×C53—42no—
776D4×C53—81no—
777D4×C53—81no—
778D4×C53—81no—
779D4×C53—81no—
780D4×C53—81no—
781C2×C4×C53—21no—
782C2×C4×C53—21no—
783C2×C4×C53—21no—
784C2×C4×C53—21no—
785C2×C4×C53—21no—
786C2×C4×C53—21no—
787C2×C4×C53—21no—
788C2×C4×C53—21no—
789C2×C4×C53—21no—
790C2×C4×C53—21no—
791C2×C4×C53—21no—
792C2×C4×C53—21no—
793C2×C4×C53—42no—
794C2×C4×C53—81no—
795C2×C4×C53—81no—
796C2×C4×C53—81no—
797C2×C4×C53C22×D411yescharacteristic
798C2×C4×C53C22×D411yescharacteristic
799C2×C4×C53C22×D411yescharacteristic
800C2×C4×C53C2511yescharacteristic
801C22⋊D53—24no—
802C22⋊D53—41no—
803C22⋊D53—41no—
804C22⋊D53—41no—
805C22⋊D53—41no—
806C22⋊D53—42no—
807C22⋊D53—42no—
808C22⋊D53—42no—
809C22⋊D53—42no—
810C22⋊D53—42no—
811C22⋊D53—81no—
812C22⋊D53—81no—
813C22⋊D53—81no—
814C22⋊D53—81no—
815C22⋊D53—81no—
816C2×Dic53—21no—
817C2×Dic53—21no—
818C2×Dic53—21no—
819C2×Dic53—21no—
820C2×Dic53—21no—
821C2×Dic53—41no—
822C2×Dic53—42no—
823C2×Dic53—81no—
824C2×Dic53—81no—
825C2×Dic53—81no—
826C2×Dic53C22×D411yescharacteristic
827C2×Dic53C22×D411yescharacteristic
828C2×Dic53C22×D411yescharacteristic
829C2×Dic53C22×D411yescharacteristic
830C2×Dic53C22×D411yescharacteristic
831C2×Dic53C22×D411yescharacteristic
832D212—21no—
833D212—21no—
834D212—21no—
835D212—21no—
836D212—21no—
837D212—42no—
838D212—42no—
839D212—42no—
840D212—42no—
841D212—42no—
842D212—42no—
843D212—81no—
844D212—81no—
845D212H(5,𝔽2)12yes—
846C4×D53—24no—
847C4×D53—21no—
848C4×D53—21no—
849C4×D53—21no—
850C4×D53—21no—
851C4×D53—41no—
852C4×D53—41no—
853C4×D53—42no—
854C4×D53—42no—
855C4×D53—42no—
856C4×D53—42no—
857C4×D53—81no—
858C4×D53—81no—
859C4×D53—81no—
860C4×D53—81no—
861Dic106—21no—
862Dic106—21no—
863Dic106—21no—
864Dic106—21no—
865Dic106—21no—
866Dic106—42no—
867Dic106—81no—
868Dic106—81no—
869Dic106—81no—
870Dic106H(5,𝔽2)12yes—
871C8×C53—21no—
872C8×C53—21no—
873C8×C53—21no—
874C8×C53—21no—
875#88322—21no—
876#88322—21no—
877#88322—21no—
878#88322—21no—
879#61654—531nomaximal, Sylow
880C22×C53—21no—
881C22×C53—21no—
882C22×C53—21no—
883C22×C53—21no—
884C22×C53—21no—
885C22×C53—21no—
886C22×C53—21no—
887C22×C53—21no—
888C22×C53—21no—
889C22×C53—41no—
890C22×C53—41no—
891C22×C53—41no—
892C22×C53—41no—
893C22×C53—41no—
894C22×C53—41no—
895C22×C53C23×D411yescharacteristic
896C2×D53—21no—
897C2×D53—21no—
898C2×D53—21no—
899C2×D53—21no—
900C2×D53—21no—
901C2×D53—21no—
902C2×D53—22no—
903C2×D53—41no—
904C2×D53—41no—
905C2×D53—41no—
906C2×D53—41no—
907C2×D53—41no—
908C2×D53—41no—
909C2×D53—41no—
910C2×D53—41no—
911C2×D53—82no—
912C2×D53—84no—
913C2×D53—162no—
914C2×D53—162no—
915C2×D53—162no—
916C4×C53—21no—
917C4×C53—21no—
918C4×C53—21no—
919C4×C53—41no—
920C4×C53—41no—
921C4×C53—41no—
922C4×C53—41no—
923C4×C53—41no—
924C4×C53—41no—
925C4×C53C2×H(5,𝔽2)11yescharacteristic
926C4×C53C2×H(5,𝔽2)11yescharacteristic
927Dic53—21no—
928Dic53—21no—
929Dic53—21no—
930Dic53—21no—
931Dic53—22no—
932Dic53—21no—
933Dic53—21no—
934Dic53—41no—
935Dic53—41no—
936Dic53—41no—
937Dic53—41no—
938#3541—531no—
939#3488—531no—
940#3333—531no—
941#3327—531no—
942#3324—531no—
943#3322—531no—
944#3314—531no—
945#3313—531no—
946#3310—531no—
947#3309—531no—
948#3278—531no—
949#3277—531no—
950#3275—531no—
951#3272—531no—
952#3271—531no—
953#3269—531no—
954#3266—531no—
955#3265—531no—
956#3224—531no—
957#3222—531no—
958#3203D5311yescharacteristic, complemented
959#3201—531no—
960#3194—531no—
961#3193—531no—
962#3124—531no—
963#3120—531no—
964#3012—531no—
965#3009—531no—
966#3007—531no—
967#3005—531no—
968#2978—531no—
969C2×C53—41no—
970C2×C53—41no—
971C2×C53—41no—
972C2×C53—81no—
973C2×C53—81no—
974C2×C53#348411yescharacteristic
975C2×C53#358511yescharacteristic
976C2×C53#358611yescharacteristic
977D53—41no—
978D53—41no—
979D53—42no—
980D53—81no—
981D53—81no—
982C2×H(5,𝔽2)—531no—
983C22×#41—531no—
984C2×#137—531no—
985C2×#137—531no—
986C2×#137—531no—
987C2×#137—531no—
988C2×AGL(1,ℤ/8)—531no—
989C2×AGL(1,ℤ/8)—531no—
990C2×#135—531no—
991C22×SD16—531no—
992#563—1061no—
993#562—1061no—
994#556—531no—
995#554—531no—
996#554—1061no—
997#553—531no—
998#553—1061no—
999#552—531no—
1000#550—531no—
1001#550—531no—
1002D4×Q8—531no—
1003#548—531no—
1004#548—531no—
1005#548—531no—
1006#548—531no—
1007#547—531no—
1008#546—531no—
1009#546—531no—
1010#546—1061no—
1011#546—1061no—
1012D42—531no—
1013D42—531no—
1014D42—1061no—
1015D42—1061no—
1016#542—531no—
1017#542—1061no—
1018#541—531no—
1019#539—1061no—
1020#538—1061no—
1021#538—1061no—
1022#537—1061no—
1023#537C2×D5311yescharacteristic
1024#537C2×D5311yescharacteristic, complemented
1025#536—531no—
1026#535—531no—
1027#535—1061no—
1028#525—531no—
1029#525—531no—
1030#525—1061no—
1031C2×C22⋊Q8—531no—
1032C2×#121—531no—
1033C2×#121—1061no—
1034#520—531no—
1035#497—531no—
1036#496—531no—
1037#495—531no—
1038#492—531no—
1039#490—531no—
1040#489—531no—
1041#488—531no—
1042#486—531no—
1043#485—531no—
1044#484—531no—
1045#484C2×D5311yescharacteristic, complemented
1046#484C2×D5311yescharacteristic, complemented
1047#483—531no—
1048#482—531no—
1049#482—531no—
1050#482—531no—
1051#480—531no—
1052#480—531no—
1053#480C2×D5311yescharacteristic, complemented
1054#480C2×D5311yescharacteristic, complemented
1055#479—531no—
1056#478—531no—
1057#477—531no—
1058#474—531no—
1059#470—531no—
1060#469—531no—
1061#469—531no—
1062#468—531no—
1063#468—531no—
1064#468—531no—
1065#468—531no—
1066#468—531no—
1067#468—531no—
1068#468—531no—
1069#468C2×D5311yescharacteristic, complemented
1070#468C2×D5311yescharacteristic, complemented
1071#467—531no—
1072#467C2×D5311yescharacteristic, complemented
1073#466C2×D5311yescharacteristic, complemented
1074#465—531no—
1075#464—531no—
1076#464—531no—
1077#464—531no—
1078#464—531no—
1079#463—531no—
1080#463—531no—
1081#462—531no—
1082#461—531no—
1083#460—531no—
1084#460—531no—
1085#460—531no—
1086#459—531no—
1087#452—531no—
1088#452—531no—
1089#452—531no—
1090#452—531no—
1091#452—531no—
1092#452—531no—
1093#452—531no—
1094#452—531no—
1095#452—531no—
1096#452—531no—
1097#452C2×D5311yescharacteristic, complemented
1098#452C2×D5311yescharacteristic, complemented
1099#451—531no—
1100#451—531no—
1101#451—531no—
1102#450—531no—
1103#450—531no—
1104#450—531no—
1105#450—531no—
1106#450—531no—
1107#450—531no—
1108#450—531no—
1109#450—531no—
1110#449—531no—
1111#449—531no—
1112#449—531no—
1113#449—531no—
1114#449—531no—
1115#449—531no—
1116#449C2×D5311yescharacteristic, complemented
1117#449C2×D5311yescharacteristic, complemented
1118#448—531no—
1119#448—531no—
1120#448—531no—
1121#447—531no—
1122#447—531no—
1123#441—531no—
1124#440—531no—
1125#440—531no—
1126#440—531no—
1127C4×Q16—531no—
1128C4×Q16—531no—
1129C4×SD16—531no—
1130C4×D8—531no—
1131#436—531no—
1132#436—531no—
1133#436—531no—
1134#436—531no—
1135#435—531no—
1136#435—531no—
1137#435—531no—
1138#435—531no—
1139#433—531no—
1140#433—531no—
1141#419—531no—
1142#418—531no—
1143#418—531no—
1144#417—531no—
1145#417—531no—
1146#417—531no—
1147#416—531no—
1148C2×#102—531no—
1149#408—531no—
1150#408C2×D5311yescharacteristic, complemented
1151#407—531no—
1152#407—531no—
1153C53#6165411yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—2122no—
1155H(5,𝔽2)—2122no—
1156C2×#41—531no—
1157C2×#41—531no—
1158C2×#41—531no—
1159C2×#41—531no—
1160C2×#41—531no—
1161C2×#41—531no—
1162C2×#41—1061no—
1163C2×#41—1061no—
1164C2×#41—1061no—
1165C2×#41—2122no—
1166C2×#41—2122no—
1167C2×#41C22×D5311yescharacteristic
1168C2×#41C22×D5311yescharacteristic
1169C2×#41C22×D5311yescharacteristic
1170C22×Q8—531no—
1171C22×Q8—531no—
1172C22×Q8—531no—
1173C22×D4—531no—
1174C22×D4—531no—
1175C22×D4—531no—
1176C22×D4—531no—
1177C22×D4—1061no—
1178C22×D4—1061no—
1179C22×D4—1061no—
1180C22×D4—1061no—
1181C22×D4—1061no—
1182C22×D4—1061no—
1183C22×D4—1061no—
1184C23×C4—531no—
1185C23×C4—1061no—
1186#137—2122no—
1187#137—2122no—
1188#137—2122no—
1189#137—2122no—
1190AGL(1,ℤ/8)—2122no—
1191AGL(1,ℤ/8)—2122no—
1192#135—2122no—
1193C2×Q16—531no—
1194C2×Q16—531no—
1195C2×Q16—531no—
1196C2×Q16—531no—
1197C2×Q16—531no—
1198C2×Q16C22×D5311yescharacteristic
1199C2×SD16—531no—
1200C2×SD16—531no—
1201C2×SD16—531no—
1202C2×SD16—531no—
1203C2×SD16—531no—
1204C2×SD16—531no—
1205C2×SD16—531no—
1206C2×SD16—531no—
1207C2×SD16—531no—
1208C2×SD16—531no—
1209C2×SD16—531no—
1210C2×SD16—531no—
1211C2×SD16—2122no—
1212C2×SD16C22×D5311yescharacteristic
1213C2×SD16C22×D5311yescharacteristic
1214C2×D8—531no—
1215C2×D8—531no—
1216C2×D8—531no—
1217C2×D8C22×D5311yescharacteristic
1218C2×M16—531no—
1219C2×M16—531no—
1220C2×M16—531no—
1221C2×M16—531no—
1222C2×M16—531no—
1223C2×M16C22×D5311yescharacteristic
1224C22×C8—531no—
1225C22×C8C22×D5311yescharacteristic
1226C4⋊Q8—531no—
1227C4⋊Q8—531no—
1228C4⋊Q8—1061no—
1229C4⋊Q8—1061no—
1230#127—531no—
1231#127—531no—
1232#127—1061no—
1233#127—1061no—
1234#126—1061no—
1235#126—1061no—
1236#126—1061no—
1237#126—1061no—
1238#126—1061no—
1239#126—1061no—
1240#126—1061no—
1241#125—531no—
1242#125—1061no—
1243#125—1061no—
1244#125—1061no—
1245#125—1061no—
1246#124—531no—
1247#124—531no—
1248#124—531no—
1249#124—1061no—
1250#124—1061no—
1251#124—1061no—
1252#124—1061no—
1253#124—1061no—
1254#124—1061no—
1255#124—1061no—
1256#123—531no—
1257#123—531no—
1258#123—1061no—
1259#123—1061no—
1260#123—1061no—
1261#123—1061no—
1262#123—1061no—
1263#123—1061no—
1264#123—1061no—
1265#123—1061no—
1266#123—1061no—
1267#123—1061no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—531no—
1271C22⋊Q8—531no—
1272C22⋊Q8—531no—
1273C22⋊Q8—531no—
1274C22⋊Q8—531no—
1275C22⋊Q8—531no—
1276C22⋊Q8—531no—
1277C22⋊Q8—531no—
1278C22⋊Q8—531no—
1279C22⋊Q8—1061no—
1280C22⋊Q8—1061no—
1281C22⋊Q8—1061no—
1282C22⋊Q8—1061no—
1283C22⋊Q8—1061no—
1284C22⋊Q8—1061no—
1285C22⋊Q8—1061no—
1286C22⋊Q8—1061no—
1287C22⋊Q8—1061no—
1288C22⋊Q8—1061no—
1289C22⋊Q8—1061no—
1290C22⋊Q8C22×D5311yescharacteristic
1291C22⋊Q8C22×D5311yescharacteristic
1292C22⋊Q8C22×D5311yescharacteristic
1293C22⋊Q8C22×D5311yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—531no—
1301#121—531no—
1302#121—531no—
1303#121—531no—
1304#121—531no—
1305#121—531no—
1306#121—531no—
1307#121—1061no—
1308#121—1061no—
1309#121—1061no—
1310#121—1061no—
1311#121—1061no—
1312#121—1061no—
1313#121—1061no—
1314#121—1061no—
1315#121—1061no—
1316#121—1061no—
1317#121—1061no—
1318#121—1061no—
1319#121—1061no—
1320#121—1061no—
1321#121—1061no—
1322#121—1061no—
1323#121—1061no—
1324#121—1061no—
1325#121C22×D5311yescharacteristic
1326#121C22×D5311yescharacteristic
1327#121C22×D5311yescharacteristic
1328#121C22×D5311yescharacteristic
1329#120—531no—
1330#120—531no—
1331#120—1061no—
1332#120—1061no—
1333#120—1061no—
1334#120—1061no—
1335#120—1061no—
1336#120—1061no—
1337#120—1061no—
1338#120—1061no—
1339#120—1061no—
1340C4×Q8—531no—
1341C4×Q8—531no—
1342C4×Q8—531no—
1343C4×Q8—531no—
1344C4×Q8—531no—
1345C4×Q8—1061no—
1346C4×D4—531no—
1347C4×D4—531no—
1348C4×D4—531no—
1349C4×D4—531no—
1350C4×D4—531no—
1351C4×D4—531no—
1352C4×D4—531no—
1353C4×D4—1061no—
1354C4×D4—1061no—
1355C4×D4—1061no—
1356C4×D4—1061no—
1357C4×D4—1061no—
1358C4×D4—1061no—
1359C4×D4—1061no—
1360C4×D4—1061no—
1361C4×D4—1061no—
1362C4×D4—1061no—
1363C4×D4—1061no—
1364C4×D4—1061no—
1365C4×D4—1061no—
1366#117—531no—
1367#117—531no—
1368#117—531no—
1369#117—1061no—
1370#117—1061no—
1371C2×C4⋊C4—531no—
1372C2×C4⋊C4—1061no—
1373C2×C4⋊C4—1061no—
1374C2×C4⋊C4—1061no—
1375C2×C4⋊C4C22×D5311yescharacteristic
1376C2×C4⋊C4C22×D5311yescharacteristic
1377C2×C22⋊C4—1061no—
1378C2×C22⋊C4—1061no—
1379C2×C22⋊C4—1061no—
1380C2×C22⋊C4—1061no—
1381#107—531no—
1382#107—531no—
1383#107C22×D5311yescharacteristic
1384#107C22×D5311yescharacteristic
1385#107C22×D5311yescharacteristic
1386#107C22×D5311yescharacteristic
1387#106—531no—
1388#106—531no—
1389C4⋊C8—531no—
1390C4⋊C8—531no—
1391C4⋊C8—531no—
1392C4⋊C8—531no—
1393#103—531no—
1394#103—531no—
1395#103—531no—
1396#103—531no—
1397#103—531no—
1398#103—531no—
1399#103—531no—
1400#103—531no—
1401#103—531no—
1402#103—531no—
1403#103C22×D5311yescharacteristic
1404#103C22×D5311yescharacteristic
1405#103C22×D5311yescharacteristic
1406#103C22×D5311yescharacteristic
1407#102—531no—
1408#102—531no—
1409#102—531no—
1410#102—531no—
1411#102—531no—
1412#102—531no—
1413#102—531no—
1414#102—531no—
1415#102—531no—
1416#102—531no—
1417#102—531no—
1418#102—531no—
1419#102—531no—
1420#102—531no—
1421#102C22×D5311yescharacteristic
1422#102C22×D5311yescharacteristic
1423#102C22×D5311yescharacteristic
1424#102C22×D5311yescharacteristic
1425C22⋊C8—531no—
1426C22⋊C8—531no—
1427C22⋊C8—531no—
1428C22⋊C8—531no—
1429C22⋊C8—531no—
1430C22⋊C8—531no—
1431C22⋊C8—531no—
1432C22⋊C8—531no—
1433C22⋊C8C22×D5311yescharacteristic
1434C22⋊C8C22×D5311yescharacteristic
1435C22⋊C8C22×D5311yescharacteristic
1436C22⋊C8C22×D5311yescharacteristic
1437#97—531no—
1438#97—531no—
1439C4×C8—531no—
1440C4×C8—531no—
1441C24—531no—
1442C24—1061no—
1443C24—1061no—
1444C24—1061no—
1445C24—1061no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—41no—
1451#41—41no—
1452#41—1062no—
1453#41—1062no—
1454#41—1062no—
1455#41—1062no—
1456#41—1062no—
1457#41—1062no—
1458#41—2121no—
1459#41—2121no—
1460#41—2124no—
1461#41—2121no—
1462#41—2121no—
1463#41—2121no—
1464#41—2121no—
1465#41—2124no—
1466#41—2124no—
1467C2×Q8—531no—
1468C2×Q8—531no—
1469C2×Q8—531no—
1470C2×Q8—1061no—
1471C2×Q8—1061no—
1472C2×Q8—1061no—
1473C2×Q8—1061no—
1474C2×Q8—1062no—
1475C2×Q8—2121no—
1476C2×Q8—2121no—
1477C2×Q8—2121no—
1478C2×Q8—2121no—
1479C2×Q8—2121no—
1480C2×Q8D4×D5311yescharacteristic
1481C2×Q8C23×D5311yescharacteristic
1482C2×Q8C23×D5311yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—531no—
1490C2×D4—531no—
1491C2×D4—531no—
1492C2×D4—531no—
1493C2×D4—531no—
1494C2×D4—531no—
1495C2×D4—531no—
1496C2×D4—1062no—
1497C2×D4—1062no—
1498C2×D4—1061no—
1499C2×D4—1061no—
1500C2×D4—1061no—
1501C2×D4—1061no—
1502C2×D4—1061no—
1503C2×D4—1061no—
1504C2×D4—1061no—
1505C2×D4—1061no—
1506C2×D4—1061no—
1507C2×D4—1061no—
1508C2×D4—1062no—
1509C2×D4—1061no—
1510C2×D4—1061no—
1511C2×D4—1061no—
1512C2×D4—1061no—
1513C2×D4—1061no—
1514C2×D4—1061no—
1515C2×D4—1061no—
1516C2×D4—1061no—
1517C2×D4—1061no—
1518C2×D4—4242no—
1519C2×D4—4242no—
1520C2×D4—4242no—
1521C2×D4—2121no—
1522C2×D4—2121no—
1523C2×D4—2121no—
1524C2×D4—2121no—
1525C2×D4—2121no—
1526C2×D4—2124no—
1527C2×D4—2124no—
1528C2×D4—2124no—
1529C2×D4—2124no—
1530C2×D4D4×D5311yescharacteristic
1531C2×D4D4×D5311yescharacteristic
1532C2×D4D4×D5311yescharacteristic
1533C2×D4C23×D5311yescharacteristic
1534C2×D4C23×D5311yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—531no—
1540C22×C4—531no—
1541C22×C4—531no—
1542C22×C4—531no—
1543C22×C4—531no—
1544C22×C4—1061no—
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—2121no—
1558C22×C4—2121no—
1559C22×C4—2124no—
1560C22×C4C23×D5311yescharacteristic
1561C22×C4C23×D5311yescharacteristic
1562C22×C4C23×D5311yescharacteristic
1563Q16—41no—
1564Q16—1062no—
1565Q16—1062no—
1566Q16—1062no—
1567Q16—2121no—
1568Q16—2121no—
1569SD16—41no—
1570SD16—41no—
1571SD16—1062no—
1572SD16—1062no—
1573SD16—1062no—
1574SD16—1062no—
1575SD16—2121no—
1576SD16—2121no—
1577SD16—2121no—
1578SD16—2121no—
1579SD16—2121no—
1580SD16—2121no—
1581SD16—2121no—
1582SD16—2121no—
1583D8—41no—
1584D8—1062no—
1585D8—2121no—
1586D8—2121no—
1587M16—41no—
1588M16—2121no—
1589M16—2121no—
1590M16—2121no—
1591M16—2121no—
1592M16—2121no—
1593C2×C8—41no—
1594C2×C8—531no—
1595C2×C8—531no—
1596C2×C8—531no—
1597C2×C8—531no—
1598C2×C8—2121no—
1599C2×C8C23×D5311yescharacteristic
1600C2×C8C23×D5311yescharacteristic
1601C2×C8C23×D5311yescharacteristic
1602C2×C8C23×D5311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—531no—
1610C4⋊C4—531no—
1611C4⋊C4—531no—
1612C4⋊C4—531no—
1613C4⋊C4—531no—
1614C4⋊C4—531no—
1615C4⋊C4—531no—
1616C4⋊C4—531no—
1617C4⋊C4—1061no—
1618C4⋊C4—1061no—
1619C4⋊C4—1061no—
1620C4⋊C4—1061no—
1621C4⋊C4—1061no—
1622C4⋊C4—1061no—
1623C4⋊C4—1061no—
1624C4⋊C4—1061no—
1625C4⋊C4—1061no—
1626C4⋊C4—1061no—
1627C4⋊C4—1061no—
1628C4⋊C4—1061no—
1629C4⋊C4—1061no—
1630C4⋊C4—1061no—
1631C4⋊C4—1061no—
1632C4⋊C4—1061no—
1633C4⋊C4—1061no—
1634C4⋊C4—1061no—
1635C4⋊C4C23×D5311yescharacteristic
1636C4⋊C4C23×D5311yescharacteristic
1637C4⋊C4C23×D5311yescharacteristic
1638C4⋊C4C23×D5311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—531no—
1648C22⋊C4—531no—
1649C22⋊C4—531no—
1650C22⋊C4—531no—
1651C22⋊C4—531no—
1652C22⋊C4—531no—
1653C22⋊C4—531no—
1654C22⋊C4—531no—
1655C22⋊C4—531no—
1656C22⋊C4—531no—
1657C22⋊C4—1061no—
1658C22⋊C4—1061no—
1659C22⋊C4—1061no—
1660C22⋊C4—1061no—
1661C22⋊C4—1061no—
1662C22⋊C4—1061no—
1663C22⋊C4—1061no—
1664C22⋊C4—1061no—
1665C22⋊C4—1061no—
1666C22⋊C4—1061no—
1667C22⋊C4—1061no—
1668C22⋊C4—1061no—
1669C22⋊C4—1061no—
1670C22⋊C4—1061no—
1671C22⋊C4—1061no—
1672C22⋊C4—1061no—
1673C22⋊C4—1061no—
1674C22⋊C4—1061no—
1675C22⋊C4—1061no—
1676C22⋊C4—1061no—
1677C22⋊C4—1061no—
1678C22⋊C4—1061no—
1679C22⋊C4—1061no—
1680C42—531no—
1681C42—531no—
1682C42—1061no—
1683C42—1061no—
1684C42—1061no—
1685C42—1061no—
1686C42—1061no—
1687C42—1061no—
1688C42—1061no—
1689C23—21no—
1690C23—21no—
1691C23—531no—
1692C23—531no—
1693C23—1061no—
1694C23—1061no—
1695C23—1061no—
1696C23—4241no—
1697C23—4241no—
1698C23—4241no—
1699C23—4241no—
1700C23—4241no—
1701C23—4241no—
1702C23—4241no—
1703C23—2122no—
1704C23—2122no—
1705C23—2122no—
1706C23—2121no—
1707C23—2121no—
1708C23—2121no—
1709C23—2122no—
1710C23—2122no—
1711C23C2×D4×D5311yescharacteristic
1712C23C2×D4×D5311yescharacteristic
1713C23C2×D4×D5311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—41no—
1719Q8—532no—
1720Q8—1061no—
1721Q8—1061no—
1722Q8—1061no—
1723Q8—1061no—
1724Q8—1061no—
1725Q8—4241no—
1726Q8—4241no—
1727Q8—4241no—
1728Q8—2122no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—41no—
1734D4—41no—
1735D4—41no—
1736D4—42no—
1737D4—81no—
1738D4—81no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—532no—
1743D4—1064no—
1744D4—1061no—
1745D4—1061no—
1746D4—1061no—
1747D4—1061no—
1748D4—1061no—
1749D4—4241no—
1750D4—4241no—
1751D4—4241no—
1752D4—4241no—
1753D4—4241no—
1754D4—4241no—
1755D4—4241no—
1756D4—2122no—
1757D4—2122no—
1758D4—2122no—
1759D4—2122no—
1760D4—2122no—
1761D4—2122no—
1762D4—2121no—
1763D4—2121no—
1764D4—2121no—
1765D4—2121no—
1766D4—2122no—
1767D4—2122no—
1768D4—2122no—
1769D4—2122no—
1770D4—2122no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—42no—
1784C2×C4—81no—
1785C2×C4—81no—
1786C2×C4—81no—
1787C2×C4—531no—
1788C2×C4—531no—
1789C2×C4—531no—
1790C2×C4—531no—
1791C2×C4—531no—
1792C2×C4—531no—
1793C2×C4—1064no—
1794C2×C4—1061no—
1795C2×C4—1061no—
1796C2×C4—1061no—
1797C2×C4—1061no—
1798C2×C4—1061no—
1799C2×C4—1061no—
1800C2×C4—1061no—
1801C2×C4—1061no—
1802C2×C4—1061no—
1803C2×C4—4241no—
1804C2×C4—4241no—
1805C2×C4—4241no—
1806C2×C4—4241no—
1807C2×C4—4241no—
1808C2×C4—4241no—
1809C2×C4—4241no—
1810C2×C4—2121no—
1811C2×C4—2121no—
1812C2×C4—2122no—
1813C2×C4—2122no—
1814C2×C4—2122no—
1815C2×C4—2122no—
1816C2×C4—2121no—
1817C2×C4—2122no—
1818C2×C4C2×D4×D5311yescharacteristic
1819C2×C4C2×D4×D5311yescharacteristic
1820C2×C4C2×D4×D5311yescharacteristic
1821C2×C4C24×D5311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1061no—
1827C8—1061no—
1828C8—1061no—
1829C8—1061no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—8482no—
1846C22—8482no—
1847C22—8482no—
1848C22—1061no—
1849C22—1061no—
1850C22—1062no—
1851C22—1061no—
1852C22—1061no—
1853C22—1061no—
1854C22—1061no—
1855C22—4242no—
1856C22—4244no—
1857C22—2121no—
1858C22—2121no—
1859C22—2121no—
1860C22—2121no—
1861C22—2121no—
1862C22—2121no—
1863C22—2121no—
1864C22—2121no—
1865C22C22×D4×D5311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—1061no—
1876C4—1061no—
1877C4—1062no—
1878C4—1061no—
1879C4—1061no—
1880C4—1061no—
1881C4—1061no—
1882C4—2121no—
1883C4—2121no—
1884C4—2121no—
1885C4—2121no—
1886C4H(5,𝔽2)×D5311yescharacteristic
1887C4H(5,𝔽2)×D5311yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—81no—
1892C2—81no—
1893C2—4241no—
1894C2—4241no—
1895C2—2122no—
1896C2—2121no—
1897C2—2121no—
1898C2#2028834711yescharacteristic
1899C2#2028949011yescharacteristic
1900C2#2028950011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3203C2
socleC22×C53C23×D4
hypercenter#3203D53
hypocenterC53#61654
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3203

Complements

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

NH ≅ G/Ntype
1. #20288996C2semidirect
2. #20288379C2semidirect
3. #20287051C2semidirect
4. #20286986C2semidirect
5. #20286941C2semidirect
6. #20286922C2semidirect
7. #20286794C2semidirect
8. #20286787C2semidirect
9. #20286734C2semidirect
10. #20286727C2semidirect
11. #20286378C2semidirect
12. #20286369C2semidirect
13. #20286339C2semidirect
14. #20286308C2semidirect
15. #20286293C2semidirect
16. #20286274C2semidirect
17. #20286222C2semidirect
18. #20286207C2semidirect
19. #20285807C2semidirect
20. #20285785C2semidirect
21. #20285591C2semidirect
22. #20285528C2semidirect
23. #20285520C2semidirect
24. #20284972C2semidirect
25. #20284924C2semidirect
26. #20284016C2semidirect
27. #20283994C2semidirect
28. #20283972C2semidirect
29. #20283953C2semidirect
30. #20283773C2semidirect
31. C53×#3203C2semidirect
34. C2×#13133250C22semidirect
35. C2×#13133249C22semidirect
36. C2×#13133246C22semidirect
37. C2×#13133246C22semidirect
38. C2×#13133242C22semidirect
39. C2×#13133241C22semidirect
40. C2×#13133237C22semidirect
41. C22×#11719913C22semidirect
44. #16811344C22semidirect
45. #16811328C22semidirect
48. #16811320C22semidirect
49. #16811308C22semidirect
52. #16811286C22semidirect
55. #16811280C22semidirect
56. #16811279C22semidirect
57. #16811272C22semidirect
67. #16811240C22semidirect
68. #16811233C22semidirect
73. #16811194C22semidirect
77. #16811133C22semidirect
79. C22⋊Q8×D53C22semidirect
83. #16811016C22semidirect
84. #16811011C22semidirect
85. #16811004C22semidirect
86. #16810994C22semidirect
87. #16810986C22semidirect
88. #16810984C22semidirect
89. #16810979C22semidirect
90. #16810968C22semidirect
91. #16810961C22semidirect
92. #16810958C22semidirect
93. #16810953C22semidirect
94. #16810950C22semidirect
95. #16810950C22semidirect
96. #16810944C22semidirect
97. #16810938C22semidirect
98. #16810938C22semidirect
99. #16810929C22semidirect
100. #16810926C22semidirect
101. #16810917C22semidirect
102. #16810902C22semidirect
103. #16810879C22semidirect
104. #16810875C22semidirect
105. #16810875C22semidirect
106. #16810872C22semidirect
107. #16810872C22semidirect
108. #16810870C22semidirect
109. #16810870C22semidirect
110. #16810870C22semidirect
111. #16810870C22semidirect
112. #16810867C22semidirect
113. #16810862C22semidirect
114. #16810850C22semidirect
115. #16810848C22semidirect
116. #16810848C22semidirect
117. #16810847C22semidirect
118. #16810844C22semidirect
119. #16810840C22semidirect
120. #16810837C22semidirect
121. #16810832C22semidirect
122. #16810827C22semidirect
123. #16810822C22semidirect
124. #16810822C22semidirect
125. #16810821C22semidirect
126. #16810816C22semidirect
127. #16810788C22semidirect
130. #16810787C22semidirect
131. #16810787C22semidirect
132. #16810786C22semidirect
133. #16810785C22semidirect
134. #16810785C22semidirect
136. #16810783C22semidirect
137. #16810780C22semidirect
138. #16810778C22semidirect
139. #16810777C22semidirect
140. #16810776C22semidirect
141. #16810776C22semidirect
142. #16810776C22semidirect
143. #16810776C22semidirect
144. #16810775C22semidirect
145. #16810773C22semidirect
146. #16810773C22semidirect
147. #16810772C22semidirect
148. #16810769C22semidirect
149. #16810769C22semidirect
150. #16810767C22semidirect
152. #16810766C22semidirect
153. #16810765C22semidirect
154. #16810763C22semidirect
155. #16810763C22semidirect
156. #16810761C22semidirect
157. #16810756C22semidirect
158. #16810756C22semidirect
159. #16810727C22semidirect
160. #16810722C22semidirect
161. #16810722C22semidirect
162. #16810720C22semidirect
163. #16810717C22semidirect
164. #16810717C22semidirect
165. #16810708C22semidirect
166. #16810703C22semidirect
167. #16810699C22semidirect
168. #16810699C22semidirect
169. #16810698C22semidirect
170. #16810698C22semidirect
171. #16810694C22semidirect
172. #16810694C22semidirect
173. #16810691C22semidirect
174. #16810691C22semidirect
175. #16810681C22semidirect
176. #16810681C22semidirect
177. #16810630C22semidirect
178. #16810629C22semidirect
179. #16810626C22semidirect
180. #16810623C22semidirect
181. #16810622C22semidirect
182. #16810621C22semidirect
183. #16810620C22semidirect
184. C2×#13133137C22semidirect
185. #16810590C22semidirect
186. #16810585C22semidirect
187. #16810585C22semidirect
189. C53×#537C22semidirect
190. C53×#484C22semidirect
191. C53×#484C22semidirect
192. C53×#480C22semidirect
193. C53×#480C22semidirect
194. C53×#468C22semidirect
195. C53×#468C22semidirect
196. C53×#467C22semidirect
197. C53×#466C22semidirect
198. C53×#452C22semidirect
199. C53×#452C22semidirect
200. C53×#449C22semidirect
201. C53×#449C22semidirect
202. C53×#408C22semidirect
958. #3203D53semidirect
1024. #537C2×D53semidirect
1045. #484C2×D53semidirect
1046. #484C2×D53semidirect
1053. #480C2×D53semidirect
1054. #480C2×D53semidirect
1069. #468C2×D53semidirect
1070. #468C2×D53semidirect
1072. #467C2×D53semidirect
1073. #466C2×D53semidirect
1097. #452C2×D53semidirect
1098. #452C2×D53semidirect
1116. #449C2×D53semidirect
1117. #449C2×D53semidirect
1150. #408C2×D53semidirect
1153. C53#61654semidirect

Maximal subgroups

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

subgroupindex
#202889962
#202883792
#202870512
#202869862
#202869412
#202869222
#202867942
#202867872
#202867342
#202867272
#202863782
#202863692
#202863392
#202863082
#202862932
#202862742
#202862222
#202862072
#202858072
#202857852
#202855912
#202855282
#202855202
#202849722
#202849242
#202840162
#202839942
#202839722
#202839532
#202837732
C53×#32032
#6165453