Finite Group Databasebeta

← #30573208

Subgroups — #30573208

Order 15616.

1878 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459773C211yesmaximal, characteristic, complemented
2#21459370C211yesmaximal, characteristic, complemented
3#21458812C211yesmaximal, characteristic, complemented
4#21458802C211yesmaximal, characteristic, complemented
5#21458474C211yesmaximal, characteristic, complemented
6#21458469C211yesmaximal, characteristic, complemented
7#21458106C211yesmaximal, characteristic, complemented
8#21458087C211yesmaximal, characteristic, complemented
9#21458082C211yesmaximal, characteristic, complemented
10#21458056C211yesmaximal, characteristic, complemented
11#21458037C211yesmaximal, characteristic, complemented
12#21458028C211yesmaximal, characteristic, complemented
13#21457459C211yesmaximal, characteristic, complemented
14#21457454C211yesmaximal, characteristic, complemented
15#21457426C211yesmaximal, characteristic, complemented
16#21457424C211yesmaximal, characteristic, complemented
17#21457412C211yesmaximal, characteristic, complemented
18#21457218C211yesmaximal, characteristic, complemented
19#21457214C211yesmaximal, characteristic, complemented
20#21457187C211yesmaximal, characteristic, complemented
21#21456783C211yesmaximal, characteristic, complemented
22#21456779C211yesmaximal, characteristic, complemented
23#21456773C211yesmaximal, characteristic, complemented
24#21455867C211yesmaximal, characteristic, complemented
25#21455841C211yesmaximal, characteristic, complemented
26#21455830C211yesmaximal, characteristic, complemented
27#21455315C211yesmaximal, characteristic, complemented
28#21455308C211yesmaximal, characteristic, complemented
29#21455280C211yesmaximal, characteristic, complemented
30#21454947C211yesmaximal, characteristic, complemented
31C61×#3275C211yesmaximal, characteristic, complemented
32C2×#14519806C2211yescharacteristic, complemented
33C2×#14519803C2211yescharacteristic, complemented
34C2×#14519802C2211yescharacteristic
35C2×#14519801C2211yescharacteristic
36#16840494C2211yescharacteristic, complemented
37#16840484C2211yescharacteristic, complemented
38#16840481C2211yescharacteristic, complemented
39#16840476C2211yescharacteristic
40#16840474—21no—
41#16840471C2211yescharacteristic, complemented
42#16840455—21no—
43#16840454C2211yescharacteristic, complemented
44#16840452C2211yescharacteristic, complemented
45#16840449—21no—
46#16840443—21no—
47#16840441—21no—
48#16840439—21no—
49#16840438—21no—
50Q8×C22⋊D61C2211yescharacteristic, complemented
51#16840422C2211yescharacteristic
52#16840411C2211yescharacteristic
53#16840408C2211yescharacteristic
54#16840406C2211yescharacteristic, complemented
55#16840401—21no—
56#16840400C2211yescharacteristic
57#16840396C2211yescharacteristic, complemented
58#16840382—21no—
59#16840349—21no—
60#16840346—21no—
61#16840314C2211yescharacteristic, complemented
62#16840308C2211yescharacteristic
63#16840299C2211yescharacteristic, complemented
64#16840298C2211yescharacteristic
65#16840293—21no—
66#16840293C2211yescharacteristic, complemented
67#16840293C2211yescharacteristic, complemented
68#16840291C2211yescharacteristic, complemented
69#16840289—21no—
70C2×#14519766C2211yescharacteristic, complemented
71#124×D61C2211yescharacteristic, complemented
72#16840268—21no—
73#16840234—21no—
74#41×Dic61C2211yescharacteristic, complemented
75C4×#11758224C2211yescharacteristic
76C4×#11758224C2211yescharacteristic, complemented
77C2×D4×Dic61C2211yescharacteristic, complemented
78C2×#14519733—21no—
79#16840144C2211yescharacteristic
80#16840143C2211yescharacteristic
81#16840143C2211yescharacteristic, complemented
82#16840140C2211yescharacteristic, complemented
83#16840133C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840118C2211yescharacteristic, complemented
86#16840117C2211yescharacteristic, complemented
87#16840116C2211yescharacteristic, complemented
88#16840111C2211yescharacteristic, complemented
89#16840107C2211yescharacteristic, complemented
90#16840104C2211yescharacteristic, complemented
91#16840101C2211yescharacteristic, complemented
92#16840095C2211yescharacteristic, complemented
93#16840088C2211yescharacteristic, complemented
94#16840083C2211yescharacteristic, complemented
95#16840081C2211yescharacteristic
96#16840072C2211yescharacteristic, complemented
97#16840072C2211yescharacteristic, complemented
98#16840071C2211yescharacteristic, complemented
99#16840069C2211yescharacteristic, complemented
100#16840064C2211yescharacteristic, complemented
101#16840064C2211yescharacteristic, complemented
102#16840064C2211yescharacteristic, complemented
103#16840063C2211yescharacteristic, complemented
104#16840055C2211yescharacteristic, complemented
105#16840051C2211yescharacteristic, complemented
106#16840020C2211yescharacteristic, complemented
107#16840018C2211yescharacteristic, complemented
108#16840017C2211yescharacteristic, complemented
109#16840014C2211yescharacteristic
110#16840011C2211yescharacteristic, complemented
111#16840010C2211yescharacteristic
112#16840008C2211yescharacteristic
113#16840006C2211yescharacteristic, complemented
114#16840006C2211yescharacteristic, complemented
115#16840005C2211yescharacteristic, complemented
116#16839987C2211yescharacteristic, complemented
117#16839987C2211yescharacteristic, complemented
118#16839986C2211yescharacteristic, complemented
119#16839986C2211yescharacteristic, complemented
120#16839986C2211yescharacteristic, complemented
121#16839986C2211yescharacteristic, complemented
122#16839985C2211yescharacteristic, complemented
123#16839983C2211yescharacteristic, complemented
124#16839983C2211yescharacteristic, complemented
125#16839982C2211yescharacteristic, complemented
126#16839981C2211yescharacteristic, complemented
127#16839979C2211yescharacteristic
128#16839979C2211yescharacteristic
129#16839979C2211yescharacteristic
130#16839979C2211yescharacteristic, complemented
131#16839979C2211yescharacteristic, complemented
132#16839979C2211yescharacteristic, complemented
133#16839977C2211yescharacteristic
134#16839975C2211yescharacteristic, complemented
135#16839975C2211yescharacteristic, complemented
136#16839975C2211yescharacteristic, complemented
137#16839974C2211yescharacteristic, complemented
138#16839970C2211yescharacteristic, complemented
139#16839966C2211yescharacteristic, complemented
140#16839965C2211yescharacteristic, complemented
141#16839965C2211yescharacteristic, complemented
142#16839955C2211yescharacteristic
143#16839955C2211yescharacteristic
144#16839926C2211yescharacteristic, complemented
145#16839924C2211yescharacteristic, complemented
146#16839924C2211yescharacteristic, complemented
147#16839922C2211yescharacteristic, complemented
148#16839921C2211yescharacteristic, complemented
149#16839918C2211yescharacteristic, complemented
150#16839916C2211yescharacteristic, complemented
151#16839915C2211yescharacteristic, complemented
152#16839911C2211yescharacteristic, complemented
153#16839908C2211yescharacteristic
154#16839899C2211yescharacteristic, complemented
155#16839896C2211yescharacteristic
156#16839895C2211yescharacteristic
157#16839894C2211yescharacteristic
158C8×Dic122C2211yescharacteristic, complemented
159#16839886C2211yescharacteristic, complemented
160C4×#11758202C2211yescharacteristic, complemented
161#16839854C2211yescharacteristic, complemented
162#16839853C2211yescharacteristic, complemented
163C4×#11758190C2211yescharacteristic, complemented
164SD16×Dic61C2211yescharacteristic, complemented
165SD16×Dic61C2211yescharacteristic, complemented
166SD16×Dic61C2211yescharacteristic, complemented
167D8×Dic61C2211yescharacteristic, complemented
168C4×#11758199C2211yescharacteristic, complemented
169#16839842C2211yescharacteristic
170#16839842C2211yescharacteristic
171#16839840C2211yescharacteristic, complemented
172#16839838C2211yescharacteristic, complemented
173#16839838C2211yescharacteristic, complemented
174#16839837C2211yescharacteristic, complemented
175#16839837C2211yescharacteristic, complemented
176#16839813C2211yescharacteristic, complemented
177#16839812C2211yescharacteristic, complemented
178#16839812C2211yescharacteristic, complemented
179#16839785C2211yescharacteristic, complemented
180#16839785C2211yescharacteristic, complemented
181#16839784C2211yescharacteristic, complemented
182#16839771C2211yescharacteristic, complemented
183#16839769C2211yescharacteristic, complemented
184#16839768C2211yescharacteristic, complemented
185#16839765C2211yescharacteristic, complemented
186#16839764C2211yescharacteristic, complemented
187#16839763C2211yescharacteristic, complemented
188C2×#137×C61C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C61C2211yescharacteristic, complemented
190C61×#548C2211yescharacteristic
191C61×#546C2211yescharacteristic, complemented
192C61×#495C2211yescharacteristic, complemented
193C61×#470C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic
195C61×#464C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#450C2211yescharacteristic, complemented
199C61×#449C2211yescharacteristic
200C61×#448C2211yescharacteristic, complemented
201C4×SD16×C61C2211yescharacteristic, complemented
202C61×#436C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758224D411yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C22×D244C2311yescharacteristic
208C2×D4×D61—21no—
209C2×D4×D61C2311yescharacteristic
210C23×Dic61—21no—
211#14519806—42no—
212#14519803—42no—
213#14519802—42no—
214#14519801—42no—
215C2×Dic244C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758190C2311yescharacteristic
220C2×#11758190C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758201C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227C2×#11758199C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230C2×#11758194C2311yescharacteristic
231C2×#11758194C2311yescharacteristic
232C2×#11758189C2311yescharacteristic
233C2×#11758189C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519775—21no—
236#14519775C2311yescharacteristic
237#14519775C2311yescharacteristic
238#14519773C2311yescharacteristic
239#14519772—21no—
240#14519772—21no—
241#14519772—21no—
242#14519772—21no—
243#14519771—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770—21no—
249#14519770—21no—
250#14519769C2311yescharacteristic
251#14519768—21no—
252#14519768C2311yescharacteristic
253#14519768C2311yescharacteristic
254#14519767—21no—
255#14519767—21no—
256#14519766—21no—
257#14519766—21no—
258#14519766C2311yescharacteristic
259#14519766C2311yescharacteristic
260#14519766C2311yescharacteristic
261#14519766C2311yescharacteristic
262#14519765C2311yescharacteristic
263#14519764—21no—
264#14519764C2311yescharacteristic
265#14519764C2311yescharacteristic
266#14519763—21no—
267#14519763—21no—
268#14519763—21no—
269#14519763—21no—
270#14519763—21no—
271#14519762—21no—
272#14519762—21no—
273#14519761—21no—
274#14519761—21no—
275#14519761—21no—
276#14519760—21no—
277#14519760—21no—
278#14519759—21no—
279#14519759—21no—
280#14519758—21no—
281#14519758—21no—
282#14519758—21no—
283#14519758—21no—
284#14519758—21no—
285#14519756—21no—
286#14519756—21no—
287#14519756C2311yescharacteristic
288#14519756C2311yescharacteristic
289#14519756C2311yescharacteristic
290#14519755—21no—
291#14519755—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519753—21no—
297#14519753C2311yescharacteristic
298#14519753C2311yescharacteristic
299#14519752C2311yescharacteristic
300#14519751C2311yescharacteristic
301#14519750—21no—
302#14519750—21no—
303#14519750—21no—
304#14519749—21no—
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519749—21no—
309#14519749—21no—
310#14519748C2311yescharacteristic
311#14519747—21no—
312#14519746—21no—
313#14519745—21no—
314#14519745—21no—
315#14519745—21no—
316Q8×Dic61C2311yescharacteristic
317Q8×Dic61C2311yescharacteristic
318Q8×Dic61C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321#14519742—21no—
322#14519742D411yescharacteristic
323#14519742C2311yescharacteristic
324#14519742C2311yescharacteristic
325C4×D244—21no—
326C4×D244C2311yescharacteristic
327D4×Dic61—21no—
328D4×Dic61—21no—
329D4×Dic61—21no—
330D4×Dic61—21no—
331D4×Dic61—21no—
332D4×Dic61—21no—
333D4×Dic61D411yescharacteristic
334D4×Dic61C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340#14519739—21no—
341#14519739C2311yescharacteristic
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61C2311yescharacteristic
347C4×C22⋊D61C2311yescharacteristic
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737D411yescharacteristic
353#14519737D411yescharacteristic
354#14519736—21no—
355#14519736C2311yescharacteristic
356#14519735—21no—
357#14519735D411yescharacteristic
358#14519735C2311yescharacteristic
359#14519734—21no—
360#14519734—21no—
361#14519733—21no—
362#14519733—21no—
363#14519733—21no—
364#14519733—21no—
365#14519733—21no—
366#14519733—21no—
367#14519733—21no—
368#14519733—21no—
369#14519733—21no—
370#14519733D411yescharacteristic
371#14519733D411yescharacteristic
372C2×C4⋊Dic61C2311yescharacteristic
373C2×#11758196—21no—
374C2×#11758196—21no—
375C2×C22⋊Dic61—21no—
376C2×C22⋊Dic61—21no—
377C2×#11758198—21no—
378C2×#11758198—21no—
379C2×#11758198—21no—
380C22⋊C4×D61—21no—
381C22⋊C4×D61—21no—
382C22⋊C4×D61—21no—
383C2×C4×Dic61—21no—
384C2×C4×Dic61—21no—
385C2×C4×Dic61C2311yescharacteristic
386C2×C4×Dic61C2311yescharacteristic
387C42×D61C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431C22⋊#92418C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C2×#41×C61C2311yescharacteristic
441C22×Q8×C61C2311yescharacteristic
442C22×D4×C61C2311yescharacteristic
443#137×C61—42no—
444AGL(1,ℤ/8)×C61—42no—
445C2×Q16×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×D8×C61C2311yescharacteristic
453C2×D8×C61C2311yescharacteristic
454C2×M16×C61C2311yescharacteristic
455C2×M16×C61C2311yescharacteristic
456#124×C61—21no—
457#124×C61C2311yescharacteristic
458#124×C61C2311yescharacteristic
459#123×C61—21no—
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61C2311yescharacteristic
462C22⋊Q8×C61C2311yescharacteristic
463#121×C61—21no—
464#121×C61—21no—
465#121×C61C2311yescharacteristic
466#121×C61C2311yescharacteristic
467#120×C61—21no—
468C4×Q8×C61C2311yescharacteristic
469C4×D4×C61—21no—
470C4×D4×C61C2311yescharacteristic
471C4×D4×C61C2311yescharacteristic
472C2×C22⋊C4×C61—21no—
473#106×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C24×C61—21no—
485C23×D61—21no—
486C23×D61—21no—
487#41×C61—22no—
488#41×C61—41no—
489#41×C61—41no—
490#41×C61—41no—
491C2×Q8×C61—21no—
492C2×Q8×C61—41no—
493C2×Q8×C61—41no—
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
497C2×D4×C61—22no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—41no—
504C2×D4×C61C2×D411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C2×D4×C61C2411yescharacteristic
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61—21no—
512C22×C4×C61C2411yescharacteristic
513C22×C4×C61C2411yescharacteristic
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61C2×D411yescharacteristic
522C2×C22⋊D61C2×D411yescharacteristic
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61—21no—
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61—21no—
530C22×Dic61—21no—
531C22×Dic61—44no—
532C22×Dic61C2×D411yescharacteristic
533C22×Dic61C2×D411yescharacteristic
534C22×Dic61C2×D411yescharacteristic
535C22×Dic61C2×D411yescharacteristic
536Q8×D61—41no—
537Q8×D61—41no—
538#11758224—22no—
539#11758224—41no—
540#11758224—42no—
541D4×D61—41no—
542D4×D61—41no—
543D4×D61—44no—
544#11758222—41no—
545#11758222—41no—
546C2×D244—21no—
547C2×D244—21no—
548C2×D244—41no—
549C2×D244—41no—
550C2×D244C2411yescharacteristic
551C2×D244C2411yescharacteristic
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61—21no—
555C2×C4×D61—21no—
556C2×C4×D61C2×D411yescharacteristic
557C2×C4×D61C2×D411yescharacteristic
558C2×C4×D61C2411yescharacteristic
559C2×Dic122—21no—
560C2×Dic122—21no—
561C2×Dic122C2×D411yescharacteristic
562C2×Dic122C2411yescharacteristic
563C2×Dic122C2411yescharacteristic
564Q16×C61—41no—
565Q16×C61—41no—
566SD16×C61—22no—
567SD16×C61—22no—
568SD16×C61—41no—
569SD16×C61—41no—
570SD16×C61—41no—
571D8×C61—22no—
572D8×C61—41no—
573M16×C61—41no—
574M16×C61—41no—
575C2×C8×C61C2411yescharacteristic
576C2×C8×C61C2411yescharacteristic
577C2×C8×C61C2411yescharacteristic
578C2×C8×C61C2411yescharacteristic
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61C2×D411yescharacteristic
583C4⋊C4×C61C2411yescharacteristic
584C4⋊C4×C61C2411yescharacteristic
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61C2×D411yescharacteristic
595C22⋊C4×C61C2×D411yescharacteristic
596C42×C61—21no—
597C42×C61C2411yescharacteristic
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61C2×D411yescharacteristic
614C22⋊Dic61C2×D411yescharacteristic
615#11758202—41no—
616#11758202—41no—
617#11758202—41no—
618#11758201—41no—
619#11758201—41no—
620#11758200—22no—
621#11758200—41no—
622#11758200—41no—
623#11758199—22no—
624#11758199—22no—
625#11758199—41no—
626#11758199—41no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198C2×D411yescharacteristic
645#11758198C2×D411yescharacteristic
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61C2×D411yescharacteristic
653C4⋊Dic61C2411yescharacteristic
654C4⋊Dic61C2411yescharacteristic
655C4⋊Dic61C2411yescharacteristic
656C4⋊Dic61C2411yescharacteristic
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61C2×D411yescharacteristic
687C4×Dic61C2×D411yescharacteristic
688C4×Dic61C2×D411yescharacteristic
689C4×Dic61C2×D411yescharacteristic
690C4×Dic61C2×D411yescharacteristic
691C4×Dic61C2×D411yescharacteristic
692C4×Dic61C2411yescharacteristic
693C4×Dic61C2411yescharacteristic
694C4×Dic61C2411yescharacteristic
695#11758194—41no—
696#11758194—41no—
697C2×#92418C2411yescharacteristic
698C2×#92418C2411yescharacteristic
699C2×#92418C2411yescharacteristic
700C2×#92418C2411yescharacteristic
701Dic244—41no—
702#11758190—41no—
703#11758190—41no—
704#11758189—41no—
705#11758189—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61—42no—
710C23×C61—42no—
711C23×C61—81no—
712C23×C61C22×D411yescharacteristic
713C23×C61C22×D411yescharacteristic
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—42no—
717C22×D61—42no—
718C22×D61—81no—
719C22×D61—81no—
720C22×D61—81no—
721C22×D61—81no—
722C22×D61C22×D411yescharacteristic
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—21no—
726Q8×C61—21no—
727Q8×C61—21no—
728Q8×C61—21no—
729Q8×C61—81no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—21no—
733D4×C61—21no—
734D4×C61—21no—
735D4×C61—41no—
736D4×C61—42no—
737D4×C61—42no—
738D4×C61—42no—
739D4×C61—81no—
740D4×C61—81no—
741D4×C61H(5,𝔽2)12yes—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—42no—
752C2×C4×C61—81no—
753C2×C4×C61—81no—
754C2×C4×C61—81no—
755C2×C4×C61C22×D411yescharacteristic
756C2×C4×C61C22×D411yescharacteristic
757C2×C4×C61C22×D411yescharacteristic
758C2×C4×C61C22×D411yescharacteristic
759C2×C4×C61C2511yescharacteristic
760C22⋊D61—22no—
761C22⋊D61—41no—
762C22⋊D61—42no—
763C22⋊D61—42no—
764C22⋊D61—81no—
765C22⋊D61—81no—
766C22⋊D61—81no—
767C22⋊D61—81no—
768C22⋊D61—81no—
769C2×Dic61—22no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—41no—
777C2×Dic61—41no—
778C2×Dic61—41no—
779C2×Dic61—42no—
780C2×Dic61—42no—
781C2×Dic61—42no—
782C2×Dic61—42no—
783C2×Dic61—42no—
784C2×Dic61—42no—
785C2×Dic61—81no—
786C2×Dic61—81no—
787C2×Dic61C22×D411yescharacteristic
788C2×Dic61C22×D411yescharacteristic
789C2×Dic61C22×D411yescharacteristic
790C2×Dic61C22×D411yescharacteristic
791C2×Dic61C22×D411yescharacteristic
792C2×Dic61C22×D411yescharacteristic
793C2×Dic61C22×D411yescharacteristic
794D244—21no—
795D244—21no—
796D244—21no—
797D244—21no—
798D244—42no—
799D244—81no—
800C4×D61—21no—
801C4×D61—21no—
802C4×D61—41no—
803C4×D61—41no—
804C4×D61—42no—
805C4×D61—81no—
806C4×D61—81no—
807C4×D61—81no—
808Dic122—22no—
809Dic122—21no—
810Dic122—21no—
811Dic122—21no—
812Dic122—21no—
813Dic122—81no—
814Dic122—81no—
815C8×C61—21no—
816C8×C61—21no—
817C8×C61—21no—
818C8×C61—21no—
819#92418—21no—
820#92418—21no—
821#92418—21no—
822#92418—21no—
823#62004—611nomaximal, Sylow
824C22×C61—21no—
825C22×C61—21no—
826C22×C61—22no—
827C22×C61—21no—
828C22×C61—21no—
829C22×C61—21no—
830C22×C61—21no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—84no—
840C22×C61C23×D411yescharacteristic
841C2×D61—21no—
842C2×D61—21no—
843C2×D61—21no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—162no—
851C2×D61—162no—
852C4×C61—21no—
853C4×C61—21no—
854C4×C61—21no—
855C4×C61—21no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61—41no—
861C4×C61C2×H(5,𝔽2)11yescharacteristic
862C4×C61#58511yescharacteristic
863Dic61—21no—
864Dic61—21no—
865Dic61—21no—
866Dic61—21no—
867Dic61—21no—
868Dic61—21no—
869Dic61—41no—
870Dic61—41no—
871Dic61—41no—
872Dic61—41no—
873Dic61—41no—
874Dic61—41no—
875Dic61#57512yes—
876#3514—611no—
877#3475—611no—
878#3394—611no—
879#3393—611no—
880#3361—611no—
881#3360—611no—
882#3329—611no—
883#3327—611no—
884#3327—611no—
885#3325—611no—
886#3323—611no—
887#3323—611no—
888#3276—611no—
889#3275—611no—
890#3275D6111yescharacteristic, complemented
891#3273—611no—
892#3273—611no—
893#3272—611no—
894#3256—611no—
895#3256—611no—
896#3252—611no—
897#3211—611no—
898#3211—611no—
899#3210—611no—
900#3105—611no—
901#3102—611no—
902#3102—611no—
903#3040—611no—
904#3040—611no—
905#3036—611no—
906#2991—611no—
907C2×C61—41no—
908C2×C61—41no—
909C2×C61—42no—
910C2×C61—81no—
911C2×C61—81no—
912C2×C61#348811yescharacteristic
913C2×C61C2×#57511yescharacteristic
914C2×C61#358411yescharacteristic
915D61—41no—
916D61—81no—
917D61—81no—
918C2×#137—611no—
919C2×#137C2×D6111yescharacteristic, complemented
920C2×AGL(1,ℤ/8)—611no—
921C2×AGL(1,ℤ/8)—611no—
922C2×AGL(1,ℤ/8)—611no—
923C2×AGL(1,ℤ/8)C2×D6111yescharacteristic, complemented
924#559—611no—
925#556—611no—
926#556—611no—
927#555—611no—
928#555—1221no—
929#554—611no—
930#553—1221no—
931#552—611no—
932#552—611no—
933#552—1221no—
934#551—1221no—
935#551—1221no—
936#551—1221no—
937#551—1221no—
938D4×Q8—611no—
939#548—611no—
940#548C2×D6111yescharacteristic
941#547—611no—
942#546—611no—
943#546—611no—
944#546—611no—
945#546—1221no—
946#546C2×D6111yescharacteristic, complemented
947D42—611no—
948#542—1221no—
949#538—1221no—
950#538—1221no—
951#533—611no—
952#532—611no—
953#529—611no—
954#529—611no—
955#529—611no—
956#529—611no—
957#529—611no—
958#529—1221no—
959#529—1221no—
960C2×#124—611no—
961C2×#124—611no—
962#525—1221no—
963#518—1221no—
964C4×#41—611no—
965C4×#41—611no—
966C4×#41—611no—
967C2×C4×D4—611no—
968C2×#117—1221no—
969#495—611no—
970#495—611no—
971#495—611no—
972#495C2×D6111yescharacteristic, complemented
973#494—611no—
974#492—611no—
975#488—611no—
976#488—611no—
977#488—611no—
978#488—611no—
979#487—611no—
980#486—611no—
981#485—611no—
982#485—611no—
983#484—611no—
984#482—611no—
985#482—611no—
986#481—611no—
987#479—611no—
988#479—611no—
989#479—611no—
990#479—611no—
991#478—611no—
992#478—611no—
993#478—611no—
994#478—611no—
995#477—611no—
996#476—611no—
997#470—611no—
998#470—611no—
999#470—611no—
1000#470C2×D6111yescharacteristic, complemented
1001#469—611no—
1002#469C2×D6111yescharacteristic
1003#468—611no—
1004#468—611no—
1005#468—611no—
1006#468—611no—
1007#468—611no—
1008#468—611no—
1009#464—611no—
1010#464—611no—
1011#464—611no—
1012#464—611no—
1013#464—611no—
1014#464—611no—
1015#464—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#464C2×D6111yescharacteristic, complemented
1021#463—611no—
1022#463—611no—
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463—611no—
1029#463—611no—
1030#463—611no—
1031#463—611no—
1032#463C2×D6111yescharacteristic, complemented
1033#462—611no—
1034#461—611no—
1035#461—611no—
1036#461—611no—
1037#459—611no—
1038#459—611no—
1039#452—611no—
1040#452—611no—
1041#452—611no—
1042#452—611no—
1043#452—611no—
1044#452C2×D6111yescharacteristic, complemented
1045#451—611no—
1046#451—611no—
1047#450—611no—
1048#450—611no—
1049#450C2×D6111yescharacteristic, complemented
1050#449—611no—
1051#449C2×D6111yescharacteristic
1052#448—611no—
1053#448C2×D6111yescharacteristic, complemented
1054#447—611no—
1055#447—611no—
1056#447—611no—
1057C8×Q8—611no—
1058C8×Q8—611no—
1059C4×Q16—611no—
1060C4×Q16—611no—
1061C4×SD16—611no—
1062C4×SD16—611no—
1063C4×SD16—611no—
1064C4×SD16—611no—
1065C4×SD16—611no—
1066C4×SD16C2×D6111yescharacteristic, complemented
1067C4×D8—611no—
1068C4×D8—611no—
1069C4×D8—611no—
1070C4×D8—611no—
1071#436—611no—
1072#436—611no—
1073#436—611no—
1074#436—611no—
1075#436—611no—
1076#436C2×D6111yescharacteristic, complemented
1077#431—611no—
1078#431—611no—
1079#431—611no—
1080#423—611no—
1081#423—611no—
1082#423—611no—
1083#419—611no—
1084#419—611no—
1085#418—611no—
1086#418—611no—
1087#417—611no—
1088#417—611no—
1089C61#6200411yescharacteristic, complemented, Sylow
1090C2×#41—611no—
1091C2×#41—611no—
1092C2×#41—611no—
1093C2×#41C22×D6111yescharacteristic
1094C2×#41C22×D6111yescharacteristic
1095C22×Q8—611no—
1096C22×Q8C22×D6111yescharacteristic
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—1221no—
1100C22×D4C22×D6111yescharacteristic
1101C23×C4—1221no—
1102#137—42no—
1103#137—2442no—
1104AGL(1,ℤ/8)—42no—
1105AGL(1,ℤ/8)—2442no—
1106AGL(1,ℤ/8)—2442no—
1107AGL(1,ℤ/8)—2442no—
1108C2×Q16—611no—
1109C2×Q16—611no—
1110C2×Q16—611no—
1111C2×Q16—611no—
1112C2×Q16C22×D6111yescharacteristic
1113C2×Q16C22×D6111yescharacteristic
1114C2×SD16—611no—
1115C2×SD16—611no—
1116C2×SD16—611no—
1117C2×SD16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16C22×D6111yescharacteristic
1122C2×SD16C22×D6111yescharacteristic
1123C2×SD16C22×D6111yescharacteristic
1124C2×SD16C22×D6111yescharacteristic
1125C2×SD16C22×D6111yescharacteristic
1126C2×D8—611no—
1127C2×D8—611no—
1128C2×D8—611no—
1129C2×D8—611no—
1130C2×D8C22×D6111yescharacteristic
1131C2×D8C22×D6111yescharacteristic
1132C2×M16—611no—
1133C2×M16—611no—
1134C2×M16—611no—
1135C2×M16—611no—
1136C2×M16C22×D6111yescharacteristic
1137C2×M16C22×D6111yescharacteristic
1138C4⋊Q8—611no—
1139C4⋊Q8—611no—
1140C4⋊Q8—611no—
1141C4⋊Q8—1221no—
1142#127—611no—
1143#126—1221no—
1144#126—1221no—
1145#126—1221no—
1146#126—1221no—
1147#126—1221no—
1148#126—1221no—
1149#126—1221no—
1150#126—1221no—
1151#126—1221no—
1152#126—1221no—
1153#126—1221no—
1154#125—611no—
1155#125—611no—
1156#125—611no—
1157#125—1221no—
1158#125—1221no—
1159#125—1221no—
1160#124—21no—
1161#124—611no—
1162#124—611no—
1163#124—611no—
1164#124—611no—
1165#124—611no—
1166#124—611no—
1167#124—611no—
1168#124—1221no—
1169#124—1221no—
1170#124—1221no—
1171#124—1221no—
1172#124—1221no—
1173#124—1221no—
1174#124—1221no—
1175#124—1221no—
1176#124C22×D6111yescharacteristic
1177#124C22×D6111yescharacteristic
1178#123—21no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185#123—1221no—
1186#123—1221no—
1187#123—1221no—
1188#123—1221no—
1189#123—1221no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193C22⋊Q8—21no—
1194C22⋊Q8—611no—
1195C22⋊Q8—611no—
1196C22⋊Q8—611no—
1197C22⋊Q8—611no—
1198C22⋊Q8—611no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206C22⋊Q8—1221no—
1207C22⋊Q8—1221no—
1208C22⋊Q8C22×D6111yescharacteristic
1209C22⋊Q8C22×D6111yescharacteristic
1210#121—21no—
1211#121—21no—
1212#121—611no—
1213#121—611no—
1214#121—611no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121C22×D6111yescharacteristic
1225#121C22×D6111yescharacteristic
1226#120—21no—
1227#120—1221no—
1228#120—1221no—
1229#120—1221no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—611no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—611no—
1240C4×Q8—1221no—
1241C4×Q8C22×D6111yescharacteristic
1242C4×D4—21no—
1243C4×D4—611no—
1244C4×D4—611no—
1245C4×D4—611no—
1246C4×D4—611no—
1247C4×D4—611no—
1248C4×D4—611no—
1249C4×D4—611no—
1250C4×D4—611no—
1251C4×D4—611no—
1252C4×D4—611no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—1221no—
1257C4×D4—1221no—
1258C4×D4—1221no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4—1221no—
1271C4×D4—1221no—
1272C4×D4C22×D6111yescharacteristic
1273C4×D4C22×D6111yescharacteristic
1274#117—611no—
1275#117—611no—
1276#117—611no—
1277#117—611no—
1278#117—611no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117—1221no—
1286#117—1221no—
1287#117—1221no—
1288#117—1221no—
1289#117—1221no—
1290#117—1221no—
1291#117—1221no—
1292C2×C4⋊C4—611no—
1293C2×C4⋊C4—1221no—
1294C2×C4⋊C4—1221no—
1295C2×C22⋊C4—21no—
1296C2×C22⋊C4—1221no—
1297C2×C22⋊C4—1221no—
1298C2×C22⋊C4—1221no—
1299C2×C22⋊C4—1221no—
1300C2×C22⋊C4—1221no—
1301C2×C22⋊C4—1221no—
1302C2×C22⋊C4—1221no—
1303C2×C22⋊C4—1221no—
1304C2×C42—611no—
1305C2×C42—611no—
1306C2×C42—611no—
1307C2×C42—1221no—
1308C2×C42—1221no—
1309#107—611no—
1310#107—611no—
1311#107—611no—
1312#107—611no—
1313#106—611no—
1314#106—611no—
1315#106—611no—
1316#106C22×D6111yescharacteristic
1317C4⋊C8—611no—
1318C4⋊C8—611no—
1319C4⋊C8—611no—
1320C4⋊C8—611no—
1321C4⋊C8—611no—
1322C4⋊C8—611no—
1323C4⋊C8—611no—
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8C22×D6111yescharacteristic
1327#103—611no—
1328#103—611no—
1329#103—611no—
1330#103—611no—
1331#103—611no—
1332#103—611no—
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103—611no—
1340#103C22×D6111yescharacteristic
1341#103C22×D6111yescharacteristic
1342#103C22×D6111yescharacteristic
1343#102—611no—
1344#102—611no—
1345#102—611no—
1346#102—611no—
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102C22×D6111yescharacteristic
1357#102C22×D6111yescharacteristic
1358#102C22×D6111yescharacteristic
1359C22⋊C8—611no—
1360C22⋊C8—611no—
1361C22⋊C8—611no—
1362C22⋊C8—611no—
1363C22⋊C8C22×D6111yescharacteristic
1364C22⋊C8C22×D6111yescharacteristic
1365C4×C8—611no—
1366C4×C8—611no—
1367C4×C8—611no—
1368C4×C8—611no—
1369C4×C8—611no—
1370C4×C8C22×D6111yescharacteristic
1371C24—21no—
1372C24—1221no—
1373C24—1221no—
1374#41—22no—
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—1222no—
1379#41—2441no—
1380#41—2441no—
1381#41—2441no—
1382#41—2442no—
1383C2×Q8—21no—
1384C2×Q8—41no—
1385C2×Q8—41no—
1386C2×Q8—611no—
1387C2×Q8—611no—
1388C2×Q8—611no—
1389C2×Q8—1221no—
1390C2×Q8—1221no—
1391C2×Q8—2441no—
1392C2×Q8—2441no—
1393C2×Q8C23×D6111yescharacteristic
1394C2×Q8C23×D6111yescharacteristic
1395C2×Q8C23×D6111yescharacteristic
1396C2×D4—22no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—41no—
1403C2×D4—611no—
1404C2×D4—611no—
1405C2×D4—611no—
1406C2×D4—611no—
1407C2×D4—1221no—
1408C2×D4—1221no—
1409C2×D4—1221no—
1410C2×D4—1221no—
1411C2×D4—1221no—
1412C2×D4—1221no—
1413C2×D4—1221no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—2441no—
1417C2×D4—2441no—
1418C2×D4—2441no—
1419C2×D4—2441no—
1420C2×D4—2444no—
1421C2×D4D4×D6111yescharacteristic
1422C2×D4C23×D6111yescharacteristic
1423C2×D4C23×D6111yescharacteristic
1424C2×D4C23×D6111yescharacteristic
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—611no—
1430C22×C4—611no—
1431C22×C4—611no—
1432C22×C4—611no—
1433C22×C4—611no—
1434C22×C4—611no—
1435C22×C4—611no—
1436C22×C4—1221no—
1437C22×C4—1221no—
1438C22×C4—1221no—
1439C22×C4—1221no—
1440C22×C4—1221no—
1441C22×C4—1221no—
1442C22×C4—1221no—
1443C22×C4—1221no—
1444C22×C4—1221no—
1445C22×C4—1221no—
1446C22×C4—1221no—
1447C22×C4—1221no—
1448C22×C4—2444no—
1449C22×C4C23×D6111yescharacteristic
1450C22×C4C23×D6111yescharacteristic
1451Q16—41no—
1452Q16—41no—
1453Q16—2441no—
1454Q16—2441no—
1455Q16—2441no—
1456Q16—2441no—
1457SD16—22no—
1458SD16—22no—
1459SD16—41no—
1460SD16—41no—
1461SD16—41no—
1462SD16—1222no—
1463SD16—2441no—
1464SD16—2441no—
1465SD16—2441no—
1466SD16—2441no—
1467SD16—2441no—
1468SD16—2441no—
1469D8—22no—
1470D8—41no—
1471D8—1222no—
1472D8—1222no—
1473D8—2441no—
1474D8—2441no—
1475M16—41no—
1476M16—41no—
1477M16—2441no—
1478M16—2441no—
1479M16—2441no—
1480M16—2441no—
1481C2×C8—611no—
1482C2×C8—611no—
1483C2×C8—611no—
1484C2×C8—611no—
1485C2×C8C23×D6111yescharacteristic
1486C2×C8C23×D6111yescharacteristic
1487C2×C8C23×D6111yescharacteristic
1488C2×C8C23×D6111yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—611no—
1493C4⋊C4—611no—
1494C4⋊C4—611no—
1495C4⋊C4—611no—
1496C4⋊C4—611no—
1497C4⋊C4—611no—
1498C4⋊C4—611no—
1499C4⋊C4—611no—
1500C4⋊C4—611no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4—1221no—
1506C4⋊C4—1221no—
1507C4⋊C4—1221no—
1508C4⋊C4—1221no—
1509C4⋊C4—1221no—
1510C4⋊C4—1221no—
1511C4⋊C4—1221no—
1512C4⋊C4—1221no—
1513C4⋊C4—1221no—
1514C4⋊C4—1221no—
1515C4⋊C4—1221no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4D4×D6111yescharacteristic
1525C4⋊C4C23×D6111yescharacteristic
1526C4⋊C4C23×D6111yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—611no—
1537C22⋊C4—611no—
1538C22⋊C4—611no—
1539C22⋊C4—611no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4—1221no—
1552C22⋊C4—1221no—
1553C22⋊C4—1221no—
1554C22⋊C4—1221no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4D4×D6111yescharacteristic
1573C22⋊C4D4×D6111yescharacteristic
1574C42—21no—
1575C42—611no—
1576C42—611no—
1577C42—611no—
1578C42—611no—
1579C42—611no—
1580C42—611no—
1581C42—611no—
1582C42—611no—
1583C42—611no—
1584C42—1221no—
1585C42—1221no—
1586C42—1221no—
1587C42—1221no—
1588C42—1221no—
1589C42—1221no—
1590C42—1221no—
1591C42—1221no—
1592C42C23×D6111yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—42no—
1597C23—42no—
1598C23—81no—
1599C23—611no—
1600C23—1221no—
1601C23—1221no—
1602C23—4881no—
1603C23—4881no—
1604C23—4881no—
1605C23—4881no—
1606C23—2442no—
1607C23—2442no—
1608C23C2×D4×D6111yescharacteristic
1609C23C2×D4×D6111yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—81no—
1617Q8—1222no—
1618Q8—1221no—
1619Q8—1221no—
1620Q8—1221no—
1621Q8—1221no—
1622Q8—4881no—
1623Q8—4881no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—41no—
1630D4—42no—
1631D4—42no—
1632D4—42no—
1633D4—81no—
1634D4—81no—
1635D4—1222no—
1636D4—1221no—
1637D4—1221no—
1638D4—1221no—
1639D4—1221no—
1640D4—4881no—
1641D4—4881no—
1642D4—4881no—
1643D4—4881no—
1644D4—4881no—
1645D4—4881no—
1646D4—2442no—
1647D4—2442no—
1648D4—2441no—
1649D4—2442no—
1650D4#1451982212yes—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—42no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—611no—
1665C2×C4—611no—
1666C2×C4—611no—
1667C2×C4—611no—
1668C2×C4—611no—
1669C2×C4—611no—
1670C2×C4—611no—
1671C2×C4—1222no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—4881no—
1681C2×C4—4881no—
1682C2×C4—4881no—
1683C2×C4—4881no—
1684C2×C4—4881no—
1685C2×C4—2441no—
1686C2×C4—2441no—
1687C2×C4—2442no—
1688C2×C4—2442no—
1689C2×C4—2442no—
1690C2×C4—2441no—
1691C2×C4—2441no—
1692C2×C4—2441no—
1693C2×C4—2442no—
1694C2×C4—2442no—
1695C2×C4—2442no—
1696C2×C4—2442no—
1697C2×C4C2×D4×D6111yescharacteristic
1698C2×C4C2×D4×D6111yescharacteristic
1699C2×C4C2×D4×D6111yescharacteristic
1700C2×C4C2×D4×D6111yescharacteristic
1701C2×C4C24×D6111yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1221no—
1707C8—1221no—
1708C8—1221no—
1709C8—1221no—
1710C22—21no—
1711C22—21no—
1712C22—22no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—84no—
1726C22—1221no—
1727C22—1221no—
1728C22—1221no—
1729C22—9762no—
1730C22—9762no—
1731C22—2441no—
1732C22—2441no—
1733C22—2441no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22C22×D4×D6111yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—612no—
1748C4—1221no—
1749C4—1221no—
1750C4—1221no—
1751C4—1221no—
1752C4—1221no—
1753C4—1221no—
1754C4—2441no—
1755C4—2441no—
1756C4—2441no—
1757C4—2441no—
1758C4—2441no—
1759C4—2441no—
1760C4C2×#1451982211yescharacteristic
1761C4#1684059711yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—42no—
1765C2—81no—
1766C2—81no—
1767C2—4881no—
1768C2—4881no—
1769C2—2441no—
1770C2#2145947911yescharacteristic
1771C2#575×D6111yescharacteristic
1772C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3275C2
socleC22×C61C23×D4
hypercenter#3275D61
hypocenterC61#62004
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. #21459773C2semidirect
2. #21459370C2semidirect
3. #21458812C2semidirect
4. #21458802C2semidirect
5. #21458474C2semidirect
6. #21458469C2semidirect
7. #21458106C2semidirect
8. #21458087C2semidirect
9. #21458082C2semidirect
10. #21458056C2semidirect
11. #21458037C2semidirect
12. #21458028C2semidirect
13. #21457459C2semidirect
14. #21457454C2semidirect
15. #21457426C2semidirect
16. #21457424C2semidirect
17. #21457412C2semidirect
18. #21457218C2semidirect
19. #21457214C2semidirect
20. #21457187C2semidirect
21. #21456783C2semidirect
22. #21456779C2semidirect
23. #21456773C2semidirect
24. #21455867C2semidirect
25. #21455841C2semidirect
26. #21455830C2semidirect
27. #21455315C2semidirect
28. #21455308C2semidirect
29. #21455280C2semidirect
30. #21454947C2semidirect
31. C61×#3275C2semidirect
32. C2×#14519806C22semidirect
33. C2×#14519803C22semidirect
36. #16840494C22semidirect
37. #16840484C22semidirect
38. #16840481C22semidirect
41. #16840471C22semidirect
43. #16840454C22semidirect
44. #16840452C22semidirect
50. Q8×C22⋊D61C22semidirect
54. #16840406C22semidirect
57. #16840396C22semidirect
61. #16840314C22semidirect
63. #16840299C22semidirect
66. #16840293C22semidirect
67. #16840293C22semidirect
68. #16840291C22semidirect
70. C2×#14519766C22semidirect
71. #124×D61C22semidirect
74. #41×Dic61C22semidirect
76. C4×#11758224C22semidirect
77. C2×D4×Dic61C22semidirect
81. #16840143C22semidirect
82. #16840140C22semidirect
83. #16840133C22semidirect
84. #16840118C22semidirect
85. #16840118C22semidirect
86. #16840117C22semidirect
87. #16840116C22semidirect
88. #16840111C22semidirect
89. #16840107C22semidirect
90. #16840104C22semidirect
91. #16840101C22semidirect
92. #16840095C22semidirect
93. #16840088C22semidirect
94. #16840083C22semidirect
96. #16840072C22semidirect
97. #16840072C22semidirect
98. #16840071C22semidirect
99. #16840069C22semidirect
100. #16840064C22semidirect
101. #16840064C22semidirect
102. #16840064C22semidirect
103. #16840063C22semidirect
104. #16840055C22semidirect
105. #16840051C22semidirect
106. #16840020C22semidirect
107. #16840018C22semidirect
108. #16840017C22semidirect
110. #16840011C22semidirect
113. #16840006C22semidirect
114. #16840006C22semidirect
115. #16840005C22semidirect
116. #16839987C22semidirect
117. #16839987C22semidirect
118. #16839986C22semidirect
119. #16839986C22semidirect
120. #16839986C22semidirect
121. #16839986C22semidirect
122. #16839985C22semidirect
123. #16839983C22semidirect
124. #16839983C22semidirect
125. #16839982C22semidirect
126. #16839981C22semidirect
130. #16839979C22semidirect
131. #16839979C22semidirect
132. #16839979C22semidirect
134. #16839975C22semidirect
135. #16839975C22semidirect
136. #16839975C22semidirect
137. #16839974C22semidirect
138. #16839970C22semidirect
139. #16839966C22semidirect
140. #16839965C22semidirect
141. #16839965C22semidirect
144. #16839926C22semidirect
145. #16839924C22semidirect
146. #16839924C22semidirect
147. #16839922C22semidirect
148. #16839921C22semidirect
149. #16839918C22semidirect
150. #16839916C22semidirect
151. #16839915C22semidirect
152. #16839911C22semidirect
154. #16839899C22semidirect
158. C8×Dic122C22semidirect
159. #16839886C22semidirect
160. C4×#11758202C22semidirect
161. #16839854C22semidirect
162. #16839853C22semidirect
163. C4×#11758190C22semidirect
164. SD16×Dic61C22semidirect
165. SD16×Dic61C22semidirect
166. SD16×Dic61C22semidirect
167. D8×Dic61C22semidirect
168. C4×#11758199C22semidirect
171. #16839840C22semidirect
172. #16839838C22semidirect
173. #16839838C22semidirect
174. #16839837C22semidirect
175. #16839837C22semidirect
176. #16839813C22semidirect
177. #16839812C22semidirect
178. #16839812C22semidirect
179. #16839785C22semidirect
180. #16839785C22semidirect
181. #16839784C22semidirect
182. #16839771C22semidirect
183. #16839769C22semidirect
184. #16839768C22semidirect
185. #16839765C22semidirect
186. #16839764C22semidirect
187. #16839763C22semidirect
188. C2×#137×C61C22semidirect
189. C2×AGL(1,ℤ/8)×C61C22semidirect
191. C61×#546C22semidirect
192. C61×#495C22semidirect
193. C61×#470C22semidirect
195. C61×#464C22semidirect
196. C61×#463C22semidirect
197. C61×#452C22semidirect
198. C61×#450C22semidirect
200. C61×#448C22semidirect
201. C4×SD16×C61C22semidirect
202. C61×#436C22semidirect
890. #3275D61semidirect
919. C2×#137C2×D61semidirect
923. C2×AGL(1,ℤ/8)C2×D61semidirect
946. #546C2×D61semidirect
972. #495C2×D61semidirect
1000. #470C2×D61semidirect
1020. #464C2×D61semidirect
1032. #463C2×D61semidirect
1044. #452C2×D61semidirect
1049. #450C2×D61semidirect
1053. #448C2×D61semidirect
1066. C4×SD16C2×D61semidirect
1076. #436C2×D61semidirect
1089. C61#62004semidirect

Maximal subgroups

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

subgroupindex
#214597732
#214593702
#214588122
#214588022
#214584742
#214584692
#214581062
#214580872
#214580822
#214580562
#214580372
#214580282
#214574592
#214574542
#214574262
#214574242
#214574122
#214572182
#214572142
#214571872
#214567832
#214567792
#214567732
#214558672
#214558412
#214558302
#214553152
#214553082
#214552802
#214549472
C61×#32752
#6200461