Finite Group Databasebeta

← #28266958

Subgroups — #28266958

Order 13568.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288717C211yesmaximal, characteristic, complemented
2#20288666C211yesmaximal, characteristic, complemented
3#20287760C211yesmaximal, characteristic, complemented
4#20287631C211yesmaximal, characteristic, complemented
5#20287414C211yesmaximal, characteristic, complemented
6#20287345C211yesmaximal, characteristic, complemented
7#20287297C211yesmaximal, characteristic, complemented
8#20287212C211yesmaximal, characteristic, complemented
9#20287208C211yesmaximal, characteristic, complemented
10#20286668C211yesmaximal, characteristic, complemented
11#20286663C211yesmaximal, characteristic, complemented
12#20286652C211yesmaximal, characteristic, complemented
13#20286569C211yesmaximal, characteristic, complemented
14#20286562C211yesmaximal, characteristic, complemented
15#20286521C211yesmaximal, characteristic, complemented
16#20286333C211yesmaximal, characteristic, complemented
17#20286261C211yesmaximal, characteristic, complemented
18#20286253C211yesmaximal, characteristic, complemented
19#20285404C211yesmaximal, characteristic, complemented
20#20285400C211yesmaximal, characteristic, complemented
21#20285291C211yesmaximal, characteristic, complemented
22#20284979C211yesmaximal, characteristic, complemented
23#20284973C211yesmaximal, characteristic, complemented
24#20284955C211yesmaximal, characteristic, complemented
25#20284862C211yesmaximal, characteristic, complemented
26#20284862C211yesmaximal, characteristic, complemented
27#20283688C211yesmaximal, characteristic, complemented
28#20283547C211yesmaximal, characteristic, complemented
29#20283544C211yesmaximal, characteristic, complemented
30C4×#13133236C211yesmaximal, characteristic, complemented
31C53×#3122C211yesmaximal, characteristic, complemented
32C2×#13133243C2211yescharacteristic
33C2×#13133241C2211yescharacteristic
34C2×#13133236C2211yescharacteristic
35#16811356C2211yescharacteristic
36#16811350C2211yescharacteristic, complemented
37#16811341C2211yescharacteristic
38#16811338C2211yescharacteristic
39#16811336C2211yescharacteristic
40#16811326C2211yescharacteristic, complemented
41#16811325C2211yescharacteristic, complemented
42#16811318—21no—
43#16811316—21no—
44#16811302—21no—
45#16811299—21no—
46#16811293C2211yescharacteristic, complemented
47#16811293C2211yescharacteristic, complemented
48#16811291—21no—
49#16811291C2211yescharacteristic
50#16811291C2211yescharacteristic, complemented
51D4×Dic106C2211yescharacteristic
52#16811282—21no—
53#16811273C2211yescharacteristic
54#16811271—21no—
55#16811268C2211yescharacteristic
56#16811267C2211yescharacteristic
57#16811263—21no—
58D4×C22⋊D53C2211yescharacteristic
59#16811244C2211yescharacteristic
60#16811238C2211yescharacteristic
61#16811225—21no—
62#16811224C2211yescharacteristic, complemented
63#16811223—21no—
64#16811211—21no—
65#16811206—21no—
66#16811170C2211yescharacteristic
67#16811170C2211yescharacteristic, complemented
68#16811168—21no—
69#16811153—21no—
70#16811151C2211yescharacteristic
71#16811150—21no—
72C2×#13133203—21no—
73#16811103C2211yescharacteristic, complemented
74#16811102C2211yescharacteristic, complemented
75#16811095C2211yescharacteristic
76C4×#11719947C2211yescharacteristic
77C4×#11719947C2211yescharacteristic, complemented
78#16811033C2211yescharacteristic, complemented
79#16811030C2211yescharacteristic, complemented
80#16811027C2211yescharacteristic, complemented
81#16811011C2211yescharacteristic, complemented
82#16811010C2211yescharacteristic, complemented
83#16810998C2211yescharacteristic
84#16810980C2211yescharacteristic, complemented
85#16810976C2211yescharacteristic, complemented
86#16810969C2211yescharacteristic, complemented
87#16810968C2211yescharacteristic
88#16810968C2211yescharacteristic, complemented
89#16810968C2211yescharacteristic, complemented
90#16810960C2211yescharacteristic, complemented
91#16810959C2211yescharacteristic, complemented
92#16810950C2211yescharacteristic, complemented
93#16810949C2211yescharacteristic, complemented
94#16810949C2211yescharacteristic, complemented
95#16810945C2211yescharacteristic, complemented
96#16810945C2211yescharacteristic, complemented
97#16810945C2211yescharacteristic, complemented
98#16810937C2211yescharacteristic
99#16810935C2211yescharacteristic
100#16810926C2211yescharacteristic, complemented
101#16810921C2211yescharacteristic
102#16810919C2211yescharacteristic, complemented
103#16810917C2211yescharacteristic, complemented
104#16810907C2211yescharacteristic, complemented
105#16810907C2211yescharacteristic, complemented
106#16810904C2211yescharacteristic, complemented
107#16810901C2211yescharacteristic
108#16810901C2211yescharacteristic, complemented
109#16810901C2211yescharacteristic, complemented
110#16810875C2211yescharacteristic
111#16810874C2211yescharacteristic
112#16810868C2211yescharacteristic, complemented
113#16810867C2211yescharacteristic, complemented
114#16810860C2211yescharacteristic, complemented
115#16810858C2211yescharacteristic, complemented
116#16810858C2211yescharacteristic, complemented
117#16810857C2211yescharacteristic
118#16810856C2211yescharacteristic
119#16810856C2211yescharacteristic, complemented
120#16810853C2211yescharacteristic, complemented
121#16810850C2211yescharacteristic, complemented
122#16810846C2211yescharacteristic, complemented
123#16810844C2211yescharacteristic, complemented
124#16810839C2211yescharacteristic, complemented
125#16810836C2211yescharacteristic, complemented
126#16810822C2211yescharacteristic
127#16810822C2211yescharacteristic, complemented
128#16810817C2211yescharacteristic, complemented
129#16810816C2211yescharacteristic
130#16810816C2211yescharacteristic
131#16810816C2211yescharacteristic
132#16810787C2211yescharacteristic, complemented
133#16810786C2211yescharacteristic, complemented
134#16810770C2211yescharacteristic
135#16810769C2211yescharacteristic
136#16810769C2211yescharacteristic, complemented
137#16810765C2211yescharacteristic
138#16810765C2211yescharacteristic
139#16810765C2211yescharacteristic, complemented
140#16810758C2211yescharacteristic
141#16810755C2211yescharacteristic
142#16810752C2211yescharacteristic, complemented
143#16810747C2211yescharacteristic, complemented
144#16810733C2211yescharacteristic
145#16810733C2211yescharacteristic, complemented
146#16810733C2211yescharacteristic, complemented
147#16810732C2211yescharacteristic, complemented
148#16810725C2211yescharacteristic, complemented
149#16810725C2211yescharacteristic, complemented
150#16810723C2211yescharacteristic
151#16810723C2211yescharacteristic, complemented
152#16810723C2211yescharacteristic, complemented
153#16810720C2211yescharacteristic
154C4×Dic212C2211yescharacteristic, complemented
155#16810717C2211yescharacteristic, complemented
156#16810714C2211yescharacteristic
157#16810714C2211yescharacteristic, complemented
158#16810710C2211yescharacteristic, complemented
159C4×#11719923C2211yescharacteristic
160C4×#11719923C2211yescharacteristic, complemented
161C4×#11719923C2211yescharacteristic, complemented
162C4×D424C2211yescharacteristic, complemented
163D8×Dic53C2211yescharacteristic
164D8×Dic53C2211yescharacteristic
165C4×#11719922C2211yescharacteristic
166C4×#11719922C2211yescharacteristic, complemented
167C4×#11719922C2211yescharacteristic, complemented
168#16810698C2211yescharacteristic
169#16810697C2211yescharacteristic, complemented
170#16810693C2211yescharacteristic, complemented
171#16810688C2211yescharacteristic, complemented
172#16810686C2211yescharacteristic
173#16810686C2211yescharacteristic, complemented
174#16810682C2211yescharacteristic, complemented
175#16810678C2211yescharacteristic, complemented
176#16810666C2211yescharacteristic, complemented
177#16810662C2211yescharacteristic, complemented
178#16810660C2211yescharacteristic, complemented
179#16810617C2211yescharacteristic, complemented
180#16810616C2211yescharacteristic
181#16810616C2211yescharacteristic, complemented
182#16810616C2211yescharacteristic, complemented
183C2×#13133138C2211yescharacteristic
184#102×D53C2211yescharacteristic
185#16810580C2211yescharacteristic, complemented
186#16810579C2211yescharacteristic, complemented
187C4×C8×D53C2211yescharacteristic, complemented
188C53×#540C2211yescharacteristic, complemented
189C53×#518C2211yescharacteristic
190C53×#482C2211yescharacteristic, complemented
191C53×#482C2211yescharacteristic, complemented
192C53×#478C2211yescharacteristic
193C53×#478C2211yescharacteristic, complemented
194C53×#459C2211yescharacteristic
195C53×#459C2211yescharacteristic, complemented
196C53×#447C2211yescharacteristic
197C53×#447C2211yescharacteristic
198C53×#442C2211yescharacteristic
199C53×#442C2211yescharacteristic, complemented
200C4×D8×C53C2211yescharacteristic
201C4×D8×C53C2211yescharacteristic, complemented
202C53×#433C2211yescharacteristic, complemented
203C2×#11719945—21no—
204C2×#11719945—21no—
205C2×#11719945C2311yescharacteristic
206C2×#11719947—21no—
207C2×#11719947—21no—
208C2×#11719947C2311yescharacteristic
209C2×#11719947C2311yescharacteristic
210C2×#11719947C2311yescharacteristic
211C22×Dic106—21no—
212C22×C22⋊D53—21no—
213C2×D4×D53C2311yescharacteristic
214#13133243—24no—
215#13133241—24no—
216#13133236—24no—
217C2×Dic212C2311yescharacteristic
218C2×#11719913C2311yescharacteristic
219C2×#11719913C2311yescharacteristic
220C2×#11719923C2311yescharacteristic
221C2×#11719923C2311yescharacteristic
222C2×#11719923C2311yescharacteristic
223C2×#11719923C2311yescharacteristic
224C2×D424C2311yescharacteristic
225C2×#11719922C2311yescharacteristic
226C2×#11719922C2311yescharacteristic
227C2×#11719922C2311yescharacteristic
228C2×#11719922C2311yescharacteristic
229C2×#11719917C2311yescharacteristic
230C2×#11719912C2311yescharacteristic
231C22×#88322C2311yescharacteristic
232C2×C8×D53C2311yescharacteristic
233C2×C8×D53C2311yescharacteristic
234C2×C8×D53C2311yescharacteristic
235#13133217C2311yescharacteristic
236#13133216—21no—
237#13133216C2311yescharacteristic
238#13133216C2311yescharacteristic
239#13133216C2311yescharacteristic
240#13133213—21no—
241#13133213—21no—
242#13133213—21no—
243#13133213C2311yescharacteristic
244#13133213C2311yescharacteristic
245#13133213C2311yescharacteristic
246#13133212—21no—
247#13133212—21no—
248#13133212D411yescharacteristic
249#13133211—21no—
250#13133210—21no—
251#13133210—21no—
252#13133210—21no—
253#13133210D411yescharacteristic
254#13133208C2311yescharacteristic
255#13133207—21no—
256#13133207—21no—
257#13133207D411yescharacteristic
258#13133205—21no—
259#13133205C2311yescharacteristic
260#13133204C2311yescharacteristic
261#13133203—21no—
262#13133203—21no—
263#13133203—21no—
264#13133203—21no—
265#13133203—21no—
266#13133203—21no—
267#13133203—21no—
268#13133203—21no—
269#13133203—21no—
270#13133203D411yescharacteristic
271#13133202—21no—
272#13133202D411yescharacteristic
273#13133201—21no—
274#13133201—21no—
275#13133200—21no—
276#13133200—21no—
277#13133200—21no—
278#13133199—21no—
279#13133199—21no—
280#13133199—21no—
281#13133199—21no—
282#13133199D411yescharacteristic
283#13133198—21no—
284#13133198—21no—
285#13133197C2311yescharacteristic
286#13133196—21no—
287#13133196—21no—
288#13133196C2311yescharacteristic
289#13133195—21no—
290#13133195D411yescharacteristic
291#13133194—21no—
292#13133194—21no—
293#13133194—21no—
294#13133192—21no—
295#13133192C2311yescharacteristic
296#13133192C2311yescharacteristic
297#13133192C2311yescharacteristic
298#13133191—21no—
299#13133191—21no—
300#13133191—21no—
301#13133191C2311yescharacteristic
302#13133190—21no—
303#13133190—21no—
304#13133190—21no—
305#13133190—21no—
306#13133190—21no—
307#13133190—21no—
308#13133190D411yescharacteristic
309#13133189—21no—
310#13133189—21no—
311#13133189—21no—
312#13133189—21no—
313#13133189—21no—
314#13133189—21no—
315#13133189—21no—
316#13133189—21no—
317#13133189—21no—
318#13133188—21no—
319#13133188C2311yescharacteristic
320#13133188C2311yescharacteristic
321#13133188C2311yescharacteristic
322#13133188C2311yescharacteristic
323#13133187—21no—
324#13133186—21no—
325#13133186—21no—
326#13133185—21no—
327C4×Dic106—21no—
328C4×Dic106C2311yescharacteristic
329C4×Dic106C2311yescharacteristic
330C4×Dic106C2311yescharacteristic
331C4×Dic106C2311yescharacteristic
332#13133182—21no—
333#13133182C2311yescharacteristic
334#13133182C2311yescharacteristic
335#13133182C2311yescharacteristic
336C4×D212C2311yescharacteristic
337C4×D212C2311yescharacteristic
338C4×D212C2311yescharacteristic
339C4×D212C2311yescharacteristic
340D4×Dic53—21no—
341D4×Dic53—21no—
342D4×Dic53C2311yescharacteristic
343D4×Dic53C2311yescharacteristic
344D4×Dic53C2311yescharacteristic
345D4×Dic53C2311yescharacteristic
346#13133179—21no—
347#13133179C2311yescharacteristic
348C4×C22⋊D53—21no—
349C4×C22⋊D53—21no—
350C4×C22⋊D53—21no—
351C4×C22⋊D53—21no—
352C4×C22⋊D53—21no—
353C4×C22⋊D53—21no—
354C4×C22⋊D53—21no—
355C4×C22⋊D53C2311yescharacteristic
356C4×C22⋊D53C2311yescharacteristic
357#13133177—21no—
358#13133177—21no—
359#13133177—21no—
360#13133177—21no—
361#13133177—21no—
362#13133177—21no—
363#13133177—21no—
364#13133177—21no—
365#13133176—21no—
366#13133175—21no—
367#13133175C2311yescharacteristic
368#13133175C2311yescharacteristic
369#13133175C2311yescharacteristic
370#13133174—21no—
371#13133174C2311yescharacteristic
372#13133173—21no—
373#13133173—21no—
374#13133173—21no—
375C2×C4⋊Dic53C2311yescharacteristic
376C2×#11719919—21no—
377C4⋊C4×D53—21no—
378C4⋊C4×D53C2311yescharacteristic
379C2×C22⋊Dic53—21no—
380C2×#11719921—21no—
381C2×#11719921—21no—
382C22⋊C4×D53—21no—
383C2×C4×Dic53—21no—
384C2×C4×Dic53—21no—
385C42×D53C2311yescharacteristic
386#13133151C2311yescharacteristic
387#13133151C2311yescharacteristic
388#13133151C2311yescharacteristic
389#13133151C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133150C2311yescharacteristic
392#13133150C2311yescharacteristic
393#13133150C2311yescharacteristic
394#13133148C2311yescharacteristic
395#13133148C2311yescharacteristic
396#13133148C2311yescharacteristic
397#13133148C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133140C2311yescharacteristic
407#13133140C2311yescharacteristic
408#13133140C2311yescharacteristic
409#13133140C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133138C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133129C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133128C2311yescharacteristic
431#13133128C2311yescharacteristic
432#13133127C2311yescharacteristic
433C4×#88322C2311yescharacteristic
434C4×#88322C2311yescharacteristic
435C8×Dic53C2311yescharacteristic
436C8×Dic53C2311yescharacteristic
437C8×Dic53C2311yescharacteristic
438C22×D4×C53C2311yescharacteristic
439C2×D8×C53C2311yescharacteristic
440C2×D8×C53C2311yescharacteristic
441C2×D8×C53C2311yescharacteristic
442C2×D8×C53C2311yescharacteristic
443#127×C53C2311yescharacteristic
444#125×C53C2311yescharacteristic
445#123×C53—21no—
446#123×C53—21no—
447#121×C53—21no—
448#121×C53—21no—
449#121×C53C2311yescharacteristic
450#121×C53C2311yescharacteristic
451C4×D4×C53—21no—
452C4×D4×C53—21no—
453C4×D4×C53C2311yescharacteristic
454C4×D4×C53C2311yescharacteristic
455C4×D4×C53C2311yescharacteristic
456C4×D4×C53C2311yescharacteristic
457C4×D4×C53C2311yescharacteristic
458C4×D4×C53C2311yescharacteristic
459#117×C53C2311yescharacteristic
460#117×C53C2311yescharacteristic
461C2×C22⋊C4×C53—21no—
462C2×C22⋊C4×C53—21no—
463#107×C53C2311yescharacteristic
464#107×C53C2311yescharacteristic
465#106×C53C2311yescharacteristic
466#106×C53C2311yescharacteristic
467C4⋊C8×C53C2311yescharacteristic
468C4⋊C8×C53C2311yescharacteristic
469#102×C53C2311yescharacteristic
470#102×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477C22⋊C8×C53C2311yescharacteristic
478C22⋊C8×C53C2311yescharacteristic
479#97×C53C2311yescharacteristic
480C4×C8×C53C2311yescharacteristic
481C24×C53—21no—
482C23×D53—21no—
483C2×D4×C53—22no—
484C2×D4×C53—21no—
485C2×D4×C53—21no—
486C2×D4×C53—21no—
487C2×D4×C53—21no—
488C2×D4×C53—21no—
489C2×D4×C53—41no—
490C2×D4×C53C2411yescharacteristic
491C2×D4×C53C2411yescharacteristic
492C2×D4×C53C2411yescharacteristic
493C2×D4×C53C2411yescharacteristic
494C22×C4×C53—21no—
495C22×C4×C53—21no—
496C22×C4×C53—21no—
497C22×C4×C53—21no—
498C22×C4×C53—21no—
499C22×C4×C53—21no—
500C22×C4×C53C2411yescharacteristic
501C2×C22⋊D53—21no—
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C2×C22⋊D53—21no—
505C2×C22⋊D53—21no—
506C2×C22⋊D53—21no—
507C2×C22⋊D53—21no—
508C2×C22⋊D53—21no—
509C2×C22⋊D53—21no—
510C2×C22⋊D53—21no—
511C2×C22⋊D53—21no—
512C2×C22⋊D53—21no—
513C2×C22⋊D53—21no—
514C2×C22⋊D53—21no—
515C2×C22⋊D53—21no—
516C2×C22⋊D53—21no—
517C2×C22⋊D53—82no—
518C2×C22⋊D53C2×D411yescharacteristic
519C2×C22⋊D53C2×D411yescharacteristic
520C22×Dic53—21no—
521C22×Dic53—21no—
522C22×Dic53—21no—
523C22×Dic53—21no—
524C22×Dic53—21no—
525C22×Dic53—21no—
526C22×Dic53—21no—
527C22×Dic53—21no—
528#11719947—22no—
529#11719947—22no—
530#11719947—22no—
531#11719947—41no—
532#11719947—41no—
533#11719947—41no—
534#11719947—82no—
535#11719947—82no—
536D4×D53—22no—
537D4×D53—41no—
538#11719945—22no—
539#11719945—41no—
540#11719945—82no—
541#11719945—82no—
542C2×D212—21no—
543C2×D212—21no—
544C2×D212—21no—
545C2×D212C2×D411yescharacteristic
546C2×D212C2411yescharacteristic
547C2×D212C2411yescharacteristic
548C2×C4×D53—21no—
549C2×C4×D53—21no—
550C2×C4×D53—21no—
551C2×C4×D53—21no—
552C2×C4×D53—21no—
553C2×C4×D53—21no—
554C2×C4×D53C2×D411yescharacteristic
555C2×C4×D53C2×D411yescharacteristic
556C2×C4×D53C2411yescharacteristic
557C2×C4×D53C2411yescharacteristic
558C2×Dic106—21no—
559C2×Dic106—21no—
560C2×Dic106—21no—
561C2×Dic106—21no—
562C2×Dic106—82no—
563C2×Dic106C2×D411yescharacteristic
564C2×Dic106C2411yescharacteristic
565C2×Dic106C2411yescharacteristic
566D8×C53—22no—
567D8×C53—22no—
568D8×C53—41no—
569D8×C53—41no—
570C2×C8×C53C2411yescharacteristic
571C2×C8×C53C2411yescharacteristic
572C2×C8×C53C2411yescharacteristic
573C2×C8×C53C2411yescharacteristic
574C4⋊C4×C53—21no—
575C4⋊C4×C53—21no—
576C4⋊C4×C53C2×D411yescharacteristic
577C4⋊C4×C53C2×D411yescharacteristic
578C4⋊C4×C53C2411yescharacteristic
579C4⋊C4×C53C2411yescharacteristic
580C4⋊C4×C53C2411yescharacteristic
581C4⋊C4×C53C2411yescharacteristic
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×C53—21no—
591C22⋊C4×C53C2×D411yescharacteristic
592C22⋊C4×C53C2×D411yescharacteristic
593C42×C53—21no—
594C42×C53C2411yescharacteristic
595C42×C53C2411yescharacteristic
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⋊Dic53C2×D411yescharacteristic
608C22⋊Dic53C2×D411yescharacteristic
609#11719923—22no—
610#11719923—22no—
611#11719923—41no—
612#11719923#4114yescomplemented
613#11719922—22no—
614#11719922—22no—
615#11719922—22no—
616#11719922—41no—
617#11719921—21no—
618#11719921—21no—
619#11719921—21no—
620#11719921—21no—
621#11719921—21no—
622#11719921—21no—
623#11719921—21no—
624#11719921—21no—
625#11719921—21no—
626#11719921—21no—
627#11719921—21no—
628#11719921—21no—
629#11719921—21no—
630#11719921—21no—
631#11719921C2×D411yescharacteristic
632#11719921C2×D411yescharacteristic
633#11719921C2×D411yescharacteristic
634#11719921C2×D411yescharacteristic
635#11719921C2×D411yescharacteristic
636#11719921C2×D411yescharacteristic
637C4⋊Dic53—21no—
638C4⋊Dic53—21no—
639C4⋊Dic53—21no—
640C4⋊Dic53—21no—
641C4⋊Dic53C2×D411yescharacteristic
642C4⋊Dic53C2×D411yescharacteristic
643C4⋊Dic53C2411yescharacteristic
644C4⋊Dic53C2411yescharacteristic
645C4⋊Dic53C2411yescharacteristic
646C4⋊Dic53C2411yescharacteristic
647#11719919—21no—
648#11719919—21no—
649#11719919—21no—
650#11719919—21no—
651#11719919—21no—
652#11719919—21no—
653#11719919—21no—
654#11719919—21no—
655#11719919—21no—
656#11719919—21no—
657#11719919—21no—
658#11719919—21no—
659#11719919C2×D411yescharacteristic
660#11719919C2×D411yescharacteristic
661#11719919C2×D411yescharacteristic
662#11719919C2×D411yescharacteristic
663#11719919C2×D411yescharacteristic
664#11719919C2×D411yescharacteristic
665C4×Dic53—21no—
666C4×Dic53—21no—
667C4×Dic53—21no—
668C4×Dic53—21no—
669C4×Dic53—21no—
670C4×Dic53—21no—
671C4×Dic53—21no—
672C4×Dic53—21no—
673C4×Dic53—21no—
674C4×Dic53C2×D411yescharacteristic
675C4×Dic53C2×D411yescharacteristic
676C4×Dic53C2411yescharacteristic
677C4×Dic53C2411yescharacteristic
678#11719917—22no—
679C2×#88322—41no—
680C2×#88322C2411yescharacteristic
681C2×#88322C2411yescharacteristic
682C2×#88322C2411yescharacteristic
683C2×#88322C2411yescharacteristic
684Dic212—22no—
685D424—41no—
686#11719913—22no—
687#11719913—41no—
688#11719912—22no—
689C8×D53—22no—
690C8×D53—41no—
691C8×D53—41no—
692C23×C53—21no—
693C23×C53—21no—
694C23×C53—21no—
695C23×C53—21no—
696C23×C53—42no—
697C23×C53—81no—
698C23×C53—81no—
699C23×C53C22×D411yescharacteristic
700C22×D53—21no—
701C22×D53—21no—
702C22×D53—42no—
703C22×D53—81no—
704C22×D53—81no—
705C22×D53C22×D411yescharacteristic
706C22×D53C22×D411yescharacteristic
707D4×C53—21no—
708D4×C53—21no—
709D4×C53—21no—
710D4×C53—21no—
711D4×C53—21no—
712D4×C53—21no—
713D4×C53—21no—
714D4×C53—42no—
715D4×C53—81no—
716D4×C53—81no—
717D4×C53—81no—
718D4×C53—81no—
719D4×C53C2×#4112yes—
720C2×C4×C53—21no—
721C2×C4×C53—21no—
722C2×C4×C53—21no—
723C2×C4×C53—21no—
724C2×C4×C53—21no—
725C2×C4×C53—21no—
726C2×C4×C53—81no—
727C2×C4×C53—81no—
728C2×C4×C53—81no—
729C2×C4×C53—81no—
730C2×C4×C53—81no—
731C2×C4×C53—81no—
732C2×C4×C53C22×D411yescharacteristic
733C2×C4×C53C22×D411yescharacteristic
734C2×C4×C53C22×D411yescharacteristic
735C2×C4×C53C22×D411yescharacteristic
736C2×C4×C53C22×D411yescharacteristic
737C2×C4×C53C2511yescharacteristic
738C22⋊D53—22no—
739C22⋊D53—41no—
740C22⋊D53—42no—
741C22⋊D53—42no—
742C22⋊D53—42no—
743C22⋊D53—42no—
744C22⋊D53—42no—
745C22⋊D53—42no—
746C22⋊D53—42no—
747C22⋊D53—81no—
748C22⋊D53—81no—
749C22⋊D53—81no—
750C22⋊D53—81no—
751C22⋊D53—81no—
752C22⋊D53—81no—
753C22⋊D53—81no—
754C22⋊D53—81no—
755C22⋊D53—81no—
756C2×Dic53—21no—
757C2×Dic53—21no—
758C2×Dic53—21no—
759C2×Dic53—21no—
760C2×Dic53—21no—
761C2×Dic53—21no—
762C2×Dic53—42no—
763C2×Dic53—42no—
764C2×Dic53—42no—
765C2×Dic53—42no—
766C2×Dic53—42no—
767C2×Dic53—81no—
768C2×Dic53—81no—
769C2×Dic53—81no—
770C2×Dic53C22×D411yescharacteristic
771C2×Dic53C22×D411yescharacteristic
772C2×Dic53C22×D411yescharacteristic
773C2×Dic53C22×D411yescharacteristic
774C2×Dic53C22×D411yescharacteristic
775C2×Dic53C22×D411yescharacteristic
776D212—21no—
777D212—21no—
778D212—21no—
779D212—21no—
780D212—41no—
781D212—81no—
782D212—81no—
783D212—81no—
784C4×D53—21no—
785C4×D53—21no—
786C4×D53—21no—
787C4×D53—21no—
788C4×D53—22no—
789C4×D53—41no—
790C4×D53—42no—
791C4×D53—81no—
792C4×D53—81no—
793C4×D53—81no—
794C4×D53—81no—
795C4×D53—81no—
796Dic106—21no—
797Dic106—22no—
798Dic106—21no—
799Dic106—21no—
800Dic106—42no—
801Dic106—42no—
802Dic106—81no—
803Dic106—81no—
804Dic106C2×#4112yes—
805C8×C53—21no—
806C8×C53—21no—
807C8×C53—21no—
808C8×C53—21no—
809#88322—21no—
810#88322—21no—
811#88322—21no—
812#88322C2×#4112yes—
813#61494—531nomaximal, Sylow
814C22×C53—21no—
815C22×C53—22no—
816C22×C53—21no—
817C22×C53—21no—
818C22×C53—41no—
819C22×C53—41no—
820C22×C53—41no—
821C22×C53—41no—
822C22×C53—41no—
823C22×C53—41no—
824C22×C53—41no—
825C22×C53—41no—
826C22×C53—41no—
827C22×C53—41no—
828C22×C53—41no—
829C22×C53—162no—
830C22×C53C23×D411yescharacteristic
831C2×D53—21no—
832C2×D53—21no—
833C2×D53—21no—
834C2×D53—21no—
835C2×D53—21no—
836C2×D53—21no—
837C2×D53—41no—
838C2×D53—41no—
839C2×D53—41no—
840C2×D53—41no—
841C2×D53—41no—
842C2×D53—41no—
843C2×D53—162no—
844C4×C53—21no—
845C4×C53—21no—
846C4×C53—21no—
847C4×C53—21no—
848C4×C53—21no—
849C4×C53—41no—
850C4×C53—41no—
851C4×C53—41no—
852C4×C53—41no—
853C4×C53C22×#4111yescharacteristic
854C4×C53#58511yescharacteristic
855Dic53—21no—
856Dic53—21no—
857Dic53—22no—
858Dic53—21no—
859Dic53—21no—
860Dic53—21no—
861Dic53—41no—
862Dic53—41no—
863Dic53—41no—
864Dic53—41no—
865Dic53—41no—
866Dic53#57612yes—
867#3517—531no—
868#3514—531no—
869#3399—531no—
870#3386—531no—
871#3365—531no—
872#3358—531no—
873#3353—531no—
874#3347—531no—
875#3347—531no—
876#3305—531no—
877#3305—531no—
878#3304—531no—
879#3297—531no—
880#3297—531no—
881#3294—531no—
882#3274—531no—
883#3268—531no—
884#3268—531no—
885#3179—531no—
886#3179—531no—
887#3169—531no—
888#3124—531no—
889#3124—531no—
890#3122—531no—
891#3122D5311yescharacteristic, complemented
892#3115—531no—
893#3115—531no—
894#2966—531no—
895#2946—531no—
896#2946—531no—
897C4×#135—531no—
898C2×C53—42no—
899C2×C53—41no—
900C2×C53—81no—
901C2×C53—81no—
902C2×C53—81no—
903C2×C53D4×#4111yescharacteristic
904C2×C53C2×#57611yescharacteristic
905C2×C53#358411yescharacteristic
906D53—41no—
907D53—41no—
908D53—81no—
909D53—81no—
910C2×AGL(1,ℤ/8)—531no—
911C2×AGL(1,ℤ/8)—531no—
912C2×#135—531no—
913#559—531no—
914#557—531no—
915#556—531no—
916#555—531no—
917#555—531no—
918#553—531no—
919#553—531no—
920#553—1061no—
921#553—1061no—
922#551—1061no—
923#551—1061no—
924#550—531no—
925#550—531no—
926#550—531no—
927#550—531no—
928#550—1061no—
929D4×Q8—531no—
930#548—1061no—
931#547—531no—
932#547—1061no—
933#546—531no—
934#546—531no—
935#546—1061no—
936D42—531no—
937#542—531no—
938#542—531no—
939#540—531no—
940#540—1061no—
941#540—1061no—
942#540C2×D5311yescharacteristic, complemented
943#538—1061no—
944#538—1061no—
945#532—531no—
946#532—531no—
947#532—1061no—
948#529—531no—
949#529—1061no—
950#529—1061no—
951C2×#124—1061no—
952#520—531no—
953#520—531no—
954#518—531no—
955#518C2×D5311yescharacteristic
956C4×#41—531no—
957C4×#41—531no—
958#501—531no—
959#501—531no—
960#500—531no—
961#496—531no—
962#496—531no—
963#493—531no—
964#488—531no—
965#488—531no—
966#486—531no—
967#486—531no—
968#486—531no—
969#486—531no—
970#484—531no—
971#484—531no—
972#482—531no—
973#482—531no—
974#482—531no—
975#482—531no—
976#482—531no—
977#482—531no—
978#482C2×D5311yescharacteristic, complemented
979#482C2×D5311yescharacteristic, complemented
980#480—531no—
981#480—531no—
982#478—531no—
983#478—531no—
984#478C2×D5311yescharacteristic
985#478C2×D5311yescharacteristic, complemented
986#477—531no—
987#477—531no—
988#475—531no—
989#475—531no—
990#474—531no—
991#474—531no—
992#474—531no—
993#474—531no—
994#469—531no—
995#469—531no—
996#468—531no—
997#468—531no—
998#466—531no—
999#466—531no—
1000#466—531no—
1001#466—531no—
1002#466—531no—
1003#466—531no—
1004#465—531no—
1005#465—531no—
1006#464—531no—
1007#464—531no—
1008#463—531no—
1009#463—531no—
1010#460—531no—
1011#460—531no—
1012#459—531no—
1013#459—531no—
1014#459—531no—
1015#459—531no—
1016#459C2×D5311yescharacteristic
1017#459C2×D5311yescharacteristic, complemented
1018#452—531no—
1019#452—531no—
1020#449—531no—
1021#449—531no—
1022#449—531no—
1023#449—531no—
1024#449—531no—
1025#449—531no—
1026#447—531no—
1027#447—531no—
1028#447C2×D5311yescharacteristic
1029#447C2×D5311yescharacteristic
1030#446—531no—
1031C8×Q8—531no—
1032#442—531no—
1033#442—531no—
1034#442—531no—
1035#442—531no—
1036#442C2×D5311yescharacteristic
1037#442C2×D5311yescharacteristic, complemented
1038#440—531no—
1039#440—531no—
1040#440—531no—
1041#440—531no—
1042#440—531no—
1043#440—531no—
1044C4×Q16—531no—
1045C4×Q16—531no—
1046C4×SD16—531no—
1047C4×SD16—531no—
1048C4×SD16—531no—
1049C4×SD16—531no—
1050C4×SD16—531no—
1051C4×SD16—531no—
1052C4×D8—531no—
1053C4×D8—531no—
1054C4×D8—531no—
1055C4×D8—531no—
1056C4×D8—531no—
1057C4×D8—531no—
1058C4×D8C2×D5311yescharacteristic
1059C4×D8C2×D5311yescharacteristic, complemented
1060#436—531no—
1061#435—531no—
1062#435—531no—
1063C8×D4—531no—
1064C8×D4—531no—
1065C8×D4—531no—
1066#433—531no—
1067#433C2×D5311yescharacteristic, complemented
1068#432—531no—
1069#428—531no—
1070#428—531no—
1071#427—531no—
1072#416—531no—
1073#416—531no—
1074#416—531no—
1075#416—531no—
1076C2×#102—531no—
1077C2×#102—531no—
1078#405—531no—
1079#405—531no—
1080C2×C4×C8—531no—
1081C53#6149411yescharacteristic, complemented, Sylow
1082C2×#41—531no—
1083C2×#41—531no—
1084C2×#41—531no—
1085C2×#41—531no—
1086C2×#41—1061no—
1087C2×#41—1061no—
1088C2×#41—1061no—
1089C2×#41—1061no—
1090C22×Q8—1061no—
1091C22×D4—531no—
1092C22×D4—1061no—
1093C22×D4C22×D5311yescharacteristic
1094AGL(1,ℤ/8)—1064no—
1095AGL(1,ℤ/8)—1064no—
1096#135—1064no—
1097C2×Q16—531no—
1098C2×SD16—531no—
1099C2×SD16—531no—
1100C2×SD16—531no—
1101C2×SD16—531no—
1102C2×SD16—531no—
1103C2×SD16—531no—
1104C2×D8—531no—
1105C2×D8—531no—
1106C2×D8—531no—
1107C2×D8—531no—
1108C2×D8—531no—
1109C2×D8C22×D5311yescharacteristic
1110C2×D8C22×D5311yescharacteristic
1111C2×D8C22×D5311yescharacteristic
1112C2×D8C22×D5311yescharacteristic
1113C2×M16—531no—
1114C2×M16—531no—
1115C22×C8—531no—
1116C22×C8—531no—
1117C22×C8—531no—
1118C22×C8—531no—
1119C4⋊Q8—531no—
1120C4⋊Q8—531no—
1121C4⋊Q8—531no—
1122C4⋊Q8—531no—
1123C4⋊Q8—1061no—
1124#127—531no—
1125#127—531no—
1126#127—531no—
1127#127—1061no—
1128#127—1061no—
1129#127—1061no—
1130#127C22×D5311yescharacteristic
1131#126—531no—
1132#126—531no—
1133#126—1061no—
1134#126—1061no—
1135#126—1061no—
1136#126—1061no—
1137#126—1061no—
1138#126—1061no—
1139#125—531no—
1140#125—531no—
1141#125—1061no—
1142#125—1061no—
1143#125C22×D5311yescharacteristic
1144#124—531no—
1145#124—531no—
1146#124—531no—
1147#124—1061no—
1148#124—1061no—
1149#124—1061no—
1150#124—1061no—
1151#124—1061no—
1152#124—1061no—
1153#124—1061no—
1154#124—1061no—
1155#124—1061no—
1156#124—1061no—
1157#123—21no—
1158#123—21no—
1159#123—531no—
1160#123—531no—
1161#123—1061no—
1162#123—1061no—
1163#123—1061no—
1164#123—1061no—
1165#123—1061no—
1166#123—1061no—
1167#123—1061no—
1168#123—1061no—
1169#123—1061no—
1170#123—1061no—
1171#123—1061no—
1172#123—1061no—
1173C22⋊Q8—531no—
1174C22⋊Q8—531no—
1175C22⋊Q8—531no—
1176C22⋊Q8—1061no—
1177C22⋊Q8—1061no—
1178C22⋊Q8—1061no—
1179C22⋊Q8—1061no—
1180C22⋊Q8—1061no—
1181C22⋊Q8—1061no—
1182#121—21no—
1183#121—21no—
1184#121—531no—
1185#121—531no—
1186#121—531no—
1187#121—531no—
1188#121—531no—
1189#121—531no—
1190#121—531no—
1191#121—531no—
1192#121—531no—
1193#121—1061no—
1194#121—1061no—
1195#121—1061no—
1196#121—1061no—
1197#121—1061no—
1198#121—1061no—
1199#121—1061no—
1200#121—1061no—
1201#121—1061no—
1202#121—1061no—
1203#121—1061no—
1204#121—1061no—
1205#121—1061no—
1206#121—1061no—
1207#121—1061no—
1208#121—1061no—
1209#121—1061no—
1210#121—1061no—
1211#121—1061no—
1212#121—1061no—
1213#121C22×D5311yescharacteristic
1214#121C22×D5311yescharacteristic
1215#120—1061no—
1216#120—1061no—
1217#120—1061no—
1218#120—1061no—
1219C4×Q8—531no—
1220C4×Q8—531no—
1221C4×Q8—531no—
1222C4×Q8—531no—
1223C4×Q8—531no—
1224C4×Q8—531no—
1225C4×Q8—531no—
1226C4×Q8—1061no—
1227C4×Q8—1061no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—531no—
1231C4×D4—531no—
1232C4×D4—531no—
1233C4×D4—531no—
1234C4×D4—531no—
1235C4×D4—531no—
1236C4×D4—531no—
1237C4×D4—531no—
1238C4×D4—531no—
1239C4×D4—531no—
1240C4×D4—531no—
1241C4×D4—1061no—
1242C4×D4—1061no—
1243C4×D4—1061no—
1244C4×D4—1061no—
1245C4×D4—1061no—
1246C4×D4—1061no—
1247C4×D4—1061no—
1248C4×D4—1061no—
1249C4×D4—1061no—
1250C4×D4—1061no—
1251C4×D4—1061no—
1252C4×D4—1061no—
1253C4×D4—1061no—
1254C4×D4—1061no—
1255C4×D4—1061no—
1256C4×D4—1061no—
1257C4×D4—1061no—
1258C4×D4—1061no—
1259C4×D4C22×D5311yescharacteristic
1260C4×D4C22×D5311yescharacteristic
1261C4×D4C22×D5311yescharacteristic
1262C4×D4C22×D5311yescharacteristic
1263C4×D4C22×D5311yescharacteristic
1264C4×D4C22×D5311yescharacteristic
1265#117—531no—
1266#117—531no—
1267#117—531no—
1268#117—531no—
1269#117—1061no—
1270#117—1061no—
1271#117—1061no—
1272#117—1061no—
1273#117—1061no—
1274#117—1061no—
1275#117C22×D5311yescharacteristic
1276#117C22×D5311yescharacteristic
1277C2×C4⋊C4—531no—
1278C2×C4⋊C4—531no—
1279C2×C4⋊C4—1061no—
1280C2×C4⋊C4—1061no—
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—21no—
1283C2×C22⋊C4—1061no—
1284C2×C22⋊C4—1061no—
1285C2×C22⋊C4—1061no—
1286C2×C22⋊C4—1061no—
1287C2×C42—531no—
1288C2×C42—1061no—
1289C2×C42—1061no—
1290#107—531no—
1291#107—531no—
1292#107—531no—
1293#107—531no—
1294#107—531no—
1295#107—531no—
1296#107—531no—
1297#107—531no—
1298#107C22×D5311yescharacteristic
1299#107C22×D5311yescharacteristic
1300#106—531no—
1301#106—531no—
1302#106—531no—
1303#106—531no—
1304#106C22×D5311yescharacteristic
1305#106C22×D5311yescharacteristic
1306C4⋊C8—531no—
1307C4⋊C8—531no—
1308C4⋊C8—531no—
1309C4⋊C8—531no—
1310C4⋊C8C22×D5311yescharacteristic
1311C4⋊C8C22×D5311yescharacteristic
1312#103—531no—
1313#103—531no—
1314#103—531no—
1315#103—531no—
1316#103—531no—
1317#103—531no—
1318#103—531no—
1319#103—531no—
1320#102—531no—
1321#102—531no—
1322#102—531no—
1323#102—531no—
1324#102—531no—
1325#102—531no—
1326#102—531no—
1327#102—531no—
1328#102—531no—
1329#102—531no—
1330#102—531no—
1331#102—531no—
1332#102—531no—
1333#102—531no—
1334#102—531no—
1335#102—531no—
1336#102C22×D5311yescharacteristic
1337#102C22×D5311yescharacteristic
1338#102C22×D5311yescharacteristic
1339#102C22×D5311yescharacteristic
1340#102C22×D5311yescharacteristic
1341#102C22×D5311yescharacteristic
1342#102C22×D5311yescharacteristic
1343#102C22×D5311yescharacteristic
1344C22⋊C8—531no—
1345C22⋊C8—531no—
1346C22⋊C8—531no—
1347C22⋊C8—531no—
1348C22⋊C8C22×D5311yescharacteristic
1349C22⋊C8C22×D5311yescharacteristic
1350#97—531no—
1351#97—531no—
1352#97—531no—
1353#97C22×D5311yescharacteristic
1354C4×C8—531no—
1355C4×C8—531no—
1356C4×C8—531no—
1357C4×C8—531no—
1358C4×C8—531no—
1359C4×C8C22×D5311yescharacteristic
1360C24—21no—
1361C24—1061no—
1362#41—1062no—
1363#41—1062no—
1364#41—1062no—
1365#41—1062no—
1366#41—4242no—
1367#41—4242no—
1368#41—4242no—
1369#41—4242no—
1370#41—2121no—
1371#41—2121no—
1372#41—2121no—
1373#41—2121no—
1374C2×Q8—531no—
1375C2×Q8—531no—
1376C2×Q8—531no—
1377C2×Q8—1061no—
1378C2×Q8—1061no—
1379C2×Q8—1061no—
1380C2×Q8—1061no—
1381C2×Q8—4242no—
1382C2×D4—22no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—41no—
1389C2×D4—531no—
1390C2×D4—531no—
1391C2×D4—531no—
1392C2×D4—531no—
1393C2×D4—531no—
1394C2×D4—1061no—
1395C2×D4—1061no—
1396C2×D4—1061no—
1397C2×D4—1061no—
1398C2×D4—1061no—
1399C2×D4—1061no—
1400C2×D4—1061no—
1401C2×D4—1061no—
1402C2×D4—1061no—
1403C2×D4—1061no—
1404C2×D4—1062no—
1405C2×D4—1061no—
1406C2×D4—1061no—
1407C2×D4—1061no—
1408C2×D4—1061no—
1409C2×D4—1061no—
1410C2×D4—1061no—
1411C2×D4—1061no—
1412C2×D4—1061no—
1413C2×D4—1061no—
1414C2×D4—4242no—
1415C2×D4—2121no—
1416C2×D4C23×D5311yescharacteristic
1417C2×D4C23×D5311yescharacteristic
1418C2×D4C23×D5311yescharacteristic
1419C2×D4C23×D5311yescharacteristic
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—531no—
1427C22×C4—531no—
1428C22×C4—531no—
1429C22×C4—531no—
1430C22×C4—1061no—
1431C22×C4—1061no—
1432C22×C4—1061no—
1433C22×C4—1061no—
1434C22×C4—1061no—
1435C22×C4—1061no—
1436C22×C4—1061no—
1437C22×C4—1061no—
1438C22×C4—1061no—
1439C22×C4—1061no—
1440C22×C4—1061no—
1441C22×C4—1061no—
1442C22×C4—1061no—
1443C22×C4—1061no—
1444C22×C4C23×D5311yescharacteristic
1445Q16—1062no—
1446SD16—534no—
1447SD16—1062no—
1448SD16—1062no—
1449SD16—1062no—
1450SD16—2121no—
1451SD16—2121no—
1452D8—22no—
1453D8—22no—
1454D8—41no—
1455D8—41no—
1456D8—1062no—
1457D8—1062no—
1458D8—1062no—
1459D8—2121no—
1460D8—2121no—
1461M16—1062no—
1462M16—1062no—
1463C2×C8—531no—
1464C2×C8—531no—
1465C2×C8—531no—
1466C2×C8—531no—
1467C2×C8—1062no—
1468C2×C8—2121no—
1469C2×C8—2121no—
1470C2×C8—2121no—
1471C2×C8C23×D5311yescharacteristic
1472C2×C8C23×D5311yescharacteristic
1473C2×C8C23×D5311yescharacteristic
1474C2×C8C23×D5311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—531no—
1478C4⋊C4—531no—
1479C4⋊C4—531no—
1480C4⋊C4—531no—
1481C4⋊C4—531no—
1482C4⋊C4—531no—
1483C4⋊C4—531no—
1484C4⋊C4—531no—
1485C4⋊C4—531no—
1486C4⋊C4—531no—
1487C4⋊C4—531no—
1488C4⋊C4—531no—
1489C4⋊C4—1061no—
1490C4⋊C4—1061no—
1491C4⋊C4—1061no—
1492C4⋊C4—1061no—
1493C4⋊C4—1061no—
1494C4⋊C4—1061no—
1495C4⋊C4—1061no—
1496C4⋊C4—1061no—
1497C4⋊C4—1061no—
1498C4⋊C4—1061no—
1499C4⋊C4—1061no—
1500C4⋊C4—1061no—
1501C4⋊C4—1061no—
1502C4⋊C4—1061no—
1503C4⋊C4—1061no—
1504C4⋊C4—1061no—
1505C4⋊C4D4×D5311yescharacteristic
1506C4⋊C4D4×D5311yescharacteristic
1507C4⋊C4C23×D5311yescharacteristic
1508C4⋊C4C23×D5311yescharacteristic
1509C4⋊C4C23×D5311yescharacteristic
1510C4⋊C4C23×D5311yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—531no—
1521C22⋊C4—531no—
1522C22⋊C4—531no—
1523C22⋊C4—531no—
1524C22⋊C4—531no—
1525C22⋊C4—531no—
1526C22⋊C4—531no—
1527C22⋊C4—531no—
1528C22⋊C4—1061no—
1529C22⋊C4—1061no—
1530C22⋊C4—1061no—
1531C22⋊C4—1061no—
1532C22⋊C4—1061no—
1533C22⋊C4—1061no—
1534C22⋊C4—1061no—
1535C22⋊C4—1061no—
1536C22⋊C4—1061no—
1537C22⋊C4—1061no—
1538C22⋊C4—1061no—
1539C22⋊C4—1061no—
1540C22⋊C4—1061no—
1541C22⋊C4—1061no—
1542C22⋊C4—1061no—
1543C22⋊C4—1061no—
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⋊C4D4×D5311yescharacteristic
1554C22⋊C4D4×D5311yescharacteristic
1555C42—21no—
1556C42—531no—
1557C42—531no—
1558C42—531no—
1559C42—531no—
1560C42—1061no—
1561C42—1061no—
1562C42—1061no—
1563C42—1061no—
1564C42—1061no—
1565C42—1061no—
1566C42—1061no—
1567C42—1061no—
1568C42—1061no—
1569C42C23×D5311yescharacteristic
1570C42C23×D5311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—42no—
1576C23—81no—
1577C23—81no—
1578C23—531no—
1579C23—531no—
1580C23—1061no—
1581C23—1061no—
1582C23—4241no—
1583C23—4241no—
1584C23—2122no—
1585C23C2×D4×D5311yescharacteristic
1586Q8—532no—
1587Q8—1062no—
1588Q8—1061no—
1589Q8—1061no—
1590Q8—1061no—
1591Q8—4241no—
1592Q8—4241no—
1593Q8—2122no—
1594Q8—2122no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—42no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—1062no—
1608D4—1061no—
1609D4—1061no—
1610D4—1061no—
1611D4—1061no—
1612D4—4241no—
1613D4—4241no—
1614D4—4241no—
1615D4—4241no—
1616D4—4241no—
1617D4—4241no—
1618D4—4241no—
1619D4—4241no—
1620D4—4241no—
1621D4—4241no—
1622D4—4241no—
1623D4—4241no—
1624D4—2121no—
1625D4—2122no—
1626D4—2122no—
1627D4—2121no—
1628D4—2122no—
1629D4—2122no—
1630D4—2122no—
1631D4—2122no—
1632D4—2122no—
1633D4#41×D5312yes—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—531no—
1647C2×C4—531no—
1648C2×C4—531no—
1649C2×C4—531no—
1650C2×C4—531no—
1651C2×C4—531no—
1652C2×C4—1062no—
1653C2×C4—1061no—
1654C2×C4—1061no—
1655C2×C4—1061no—
1656C2×C4—1061no—
1657C2×C4—1061no—
1658C2×C4—1061no—
1659C2×C4—1061no—
1660C2×C4—1061no—
1661C2×C4—1061no—
1662C2×C4—1061no—
1663C2×C4—4241no—
1664C2×C4—4241no—
1665C2×C4—4241no—
1666C2×C4—4241no—
1667C2×C4—4241no—
1668C2×C4—4241no—
1669C2×C4—4241no—
1670C2×C4—4241no—
1671C2×C4—2121no—
1672C2×C4—2122no—
1673C2×C4—2122no—
1674C2×C4—2122no—
1675C2×C4—2122no—
1676C2×C4—2122no—
1677C2×C4—2122no—
1678C2×C4C2×D4×D5311yescharacteristic
1679C2×C4C2×D4×D5311yescharacteristic
1680C2×C4C2×D4×D5311yescharacteristic
1681C2×C4C2×D4×D5311yescharacteristic
1682C2×C4C2×D4×D5311yescharacteristic
1683C2×C4C24×D5311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—532no—
1689C8—1061no—
1690C8—1061no—
1691C8—1061no—
1692C22—21no—
1693C22—21no—
1694C22—22no—
1695C22—21no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—162no—
1708C22—8482no—
1709C22—1061no—
1710C22—1061no—
1711C22—1061no—
1712C22—1061no—
1713C22—1061no—
1714C22—1061no—
1715C22—2121no—
1716C22—2121no—
1717C22—2121no—
1718C22—2121no—
1719C22—2121no—
1720C22—2121no—
1721C22C22×D4×D5311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—532no—
1732C4—1061no—
1733C4—1061no—
1734C4—1061no—
1735C4—1062no—
1736C4—1061no—
1737C4—1061no—
1738C4—2121no—
1739C4—2121no—
1740C4—2121no—
1741C4—2121no—
1742C4—2121no—
1743C4C2×#41×D5311yescharacteristic
1744C4#1681145911yescharacteristic
1745C2—41no—
1746C2—42no—
1747C2—81no—
1748C2—81no—
1749C2—81no—
1750C2—4241no—
1751C2—4241no—
1752C2—2121no—
1753C2—2121no—
1754C2#2028819811yescharacteristic
1755C2#576×D5311yescharacteristic
1756C2#2028948311yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3122C2
socleC22×C53C23×D4
hypercenter#3122D53
hypocenterC53#61494
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3122

Complements

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

NH ≅ G/Ntype
1. #20288717C2semidirect
2. #20288666C2semidirect
3. #20287760C2semidirect
4. #20287631C2semidirect
5. #20287414C2semidirect
6. #20287345C2semidirect
7. #20287297C2semidirect
8. #20287212C2semidirect
9. #20287208C2semidirect
10. #20286668C2semidirect
11. #20286663C2semidirect
12. #20286652C2semidirect
13. #20286569C2semidirect
14. #20286562C2semidirect
15. #20286521C2semidirect
16. #20286333C2semidirect
17. #20286261C2semidirect
18. #20286253C2semidirect
19. #20285404C2semidirect
20. #20285400C2semidirect
21. #20285291C2semidirect
22. #20284979C2semidirect
23. #20284973C2semidirect
24. #20284955C2semidirect
25. #20284862C2semidirect
26. #20284862C2semidirect
27. #20283688C2semidirect
28. #20283547C2semidirect
29. #20283544C2semidirect
30. C4×#13133236C2semidirect
31. C53×#3122C2semidirect
36. #16811350C22semidirect
40. #16811326C22semidirect
41. #16811325C22semidirect
46. #16811293C22semidirect
47. #16811293C22semidirect
50. #16811291C22semidirect
62. #16811224C22semidirect
67. #16811170C22semidirect
73. #16811103C22semidirect
74. #16811102C22semidirect
77. C4×#11719947C22semidirect
78. #16811033C22semidirect
79. #16811030C22semidirect
80. #16811027C22semidirect
81. #16811011C22semidirect
82. #16811010C22semidirect
84. #16810980C22semidirect
85. #16810976C22semidirect
86. #16810969C22semidirect
88. #16810968C22semidirect
89. #16810968C22semidirect
90. #16810960C22semidirect
91. #16810959C22semidirect
92. #16810950C22semidirect
93. #16810949C22semidirect
94. #16810949C22semidirect
95. #16810945C22semidirect
96. #16810945C22semidirect
97. #16810945C22semidirect
100. #16810926C22semidirect
102. #16810919C22semidirect
103. #16810917C22semidirect
104. #16810907C22semidirect
105. #16810907C22semidirect
106. #16810904C22semidirect
108. #16810901C22semidirect
109. #16810901C22semidirect
112. #16810868C22semidirect
113. #16810867C22semidirect
114. #16810860C22semidirect
115. #16810858C22semidirect
116. #16810858C22semidirect
119. #16810856C22semidirect
120. #16810853C22semidirect
121. #16810850C22semidirect
122. #16810846C22semidirect
123. #16810844C22semidirect
124. #16810839C22semidirect
125. #16810836C22semidirect
127. #16810822C22semidirect
128. #16810817C22semidirect
132. #16810787C22semidirect
133. #16810786C22semidirect
136. #16810769C22semidirect
139. #16810765C22semidirect
142. #16810752C22semidirect
143. #16810747C22semidirect
145. #16810733C22semidirect
146. #16810733C22semidirect
147. #16810732C22semidirect
148. #16810725C22semidirect
149. #16810725C22semidirect
151. #16810723C22semidirect
152. #16810723C22semidirect
154. C4×Dic212C22semidirect
155. #16810717C22semidirect
157. #16810714C22semidirect
158. #16810710C22semidirect
160. C4×#11719923C22semidirect
161. C4×#11719923C22semidirect
162. C4×D424C22semidirect
166. C4×#11719922C22semidirect
167. C4×#11719922C22semidirect
169. #16810697C22semidirect
170. #16810693C22semidirect
171. #16810688C22semidirect
173. #16810686C22semidirect
174. #16810682C22semidirect
175. #16810678C22semidirect
176. #16810666C22semidirect
177. #16810662C22semidirect
178. #16810660C22semidirect
179. #16810617C22semidirect
181. #16810616C22semidirect
182. #16810616C22semidirect
185. #16810580C22semidirect
186. #16810579C22semidirect
187. C4×C8×D53C22semidirect
188. C53×#540C22semidirect
190. C53×#482C22semidirect
191. C53×#482C22semidirect
193. C53×#478C22semidirect
195. C53×#459C22semidirect
199. C53×#442C22semidirect
201. C4×D8×C53C22semidirect
202. C53×#433C22semidirect
612. #11719923#41semidirect
891. #3122D53semidirect
942. #540C2×D53semidirect
978. #482C2×D53semidirect
979. #482C2×D53semidirect
985. #478C2×D53semidirect
1017. #459C2×D53semidirect
1037. #442C2×D53semidirect
1059. C4×D8C2×D53semidirect
1067. #433C2×D53semidirect
1081. C53#61494semidirect

Maximal subgroups

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

subgroupindex
#202887172
#202886662
#202877602
#202876312
#202874142
#202873452
#202872972
#202872122
#202872082
#202866682
#202866632
#202866522
#202865692
#202865622
#202865212
#202863332
#202862612
#202862532
#202854042
#202854002
#202852912
#202849792
#202849732
#202849552
#202848622
#202836882
#202835472
#202835442
C4×#131332362
C53×#31222
#6149453