Finite Group Databasebeta

← D61×#3311 #30556675

Subgroups — D61×#3311 #30556675

Order 15616.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#556×D61C211yesmaximal, characteristic, complemented
2#546×D61C211yesmaximal, characteristic
3#21457862C211yesmaximal, characteristic, complemented
4#21457861C211yesmaximal, characteristic, complemented
5#21457860C211yesmaximal, characteristic, complemented
6#21457859C211yesmaximal, characteristic, complemented
7#21457858C211yesmaximal, characteristic, complemented
8#21457857C211yesmaximal, characteristic, complemented
9#21457856C211yesmaximal, characteristic, complemented
10#21457855C211yesmaximal, characteristic, complemented
11#21457854C211yesmaximal, characteristic, complemented
12#21457853C211yesmaximal, characteristic, complemented
13#21457852C211yesmaximal, characteristic, complemented
14#21457851C211yesmaximal, characteristic, complemented
15#21457850C211yesmaximal, characteristic, complemented
16#21457849C211yesmaximal, characteristic, complemented
17#21457848C211yesmaximal, characteristic, complemented
18#489×D61C211yesmaximal, characteristic, complemented
19#485×D61C211yesmaximal, characteristic, complemented
20#482×D61C211yesmaximal, characteristic, complemented
21#476×D61C211yesmaximal, characteristic, complemented
22#470×D61C211yesmaximal, characteristic, complemented
23#465×D61C211yesmaximal, characteristic, complemented
24#464×D61C211yesmaximal, characteristic, complemented
25#452×D61C211yesmaximal, characteristic, complemented
26#450×D61C211yesmaximal, characteristic, complemented
27#440×D61C211yesmaximal, characteristic, complemented
28#435×D61C211yesmaximal, characteristic, complemented
29#418×D61C211yesmaximal, characteristic, complemented
30#416×D61C211yesmaximal, characteristic, complemented
31C61×#3311C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C2×Q16×D61C2211yescharacteristic, complemented
35C2×SD16×D61C2211yescharacteristic
36C2×SD16×D61C2211yescharacteristic
37C2×M16×D61C2211yescharacteristic
38C22×C8×D61C2211yescharacteristic, complemented
39#16840486C2211yescharacteristic, complemented
40#16840485C2211yescharacteristic, complemented
41#16840484—21no—
42#16840483C2211yescharacteristic, complemented
43#16840483C2211yescharacteristic, complemented
44#16840482C2211yescharacteristic, complemented
45#16840481—21no—
46#16840480C2211yescharacteristic, complemented
47#16840480C2211yescharacteristic, complemented
48#16840479—21no—
49#16840479—21no—
50#16840409C2211yescharacteristic
51#16840408C2211yescharacteristic
52#16840407C2211yescharacteristic
53#16840406C2211yescharacteristic
54#16840405C2211yescharacteristic
55#16840404—21no—
56#16840403C2211yescharacteristic
57#16840402—21no—
58#16840401—21no—
59#16840400C2211yescharacteristic
60#16840399—21no—
61C4⋊Q8×D61C2211yescharacteristic, complemented
62#126×D61—21no—
63#126×D61—21no—
64#124×D61—21no—
65#124×D61C2211yescharacteristic
66#123×D61—21no—
67C22⋊Q8×D61C2211yescharacteristic
68C22⋊Q8×D61C2211yescharacteristic
69C22⋊Q8×D61C2211yescharacteristic, complemented
70#121×D61—21no—
71#121×D61C2211yescharacteristic
72#120×D61—21no—
73C4×Q8×D61—21no—
74C4×Q8×D61C2211yescharacteristic, complemented
75C4×D4×D61C2211yescharacteristic
76C4×D4×D61C2211yescharacteristic
77#117×D61C2211yescharacteristic
78#117×D61C2211yescharacteristic, complemented
79C2×C22⋊C4×D61—21no—
80#16840124C2211yescharacteristic, complemented
81#16840123C2211yescharacteristic, complemented
82#16840123C2211yescharacteristic, complemented
83#16840122C2211yescharacteristic, complemented
84#16840121C2211yescharacteristic, complemented
85#16840120C2211yescharacteristic, complemented
86#16840120C2211yescharacteristic, complemented
87#16840106C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840104C2211yescharacteristic, complemented
90#16840103C2211yescharacteristic, complemented
91#16840102C2211yescharacteristic, complemented
92#16840101C2211yescharacteristic, complemented
93#16840100C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840088C2211yescharacteristic, complemented
96#16840087C2211yescharacteristic, complemented
97#16840086C2211yescharacteristic, complemented
98#16840085C2211yescharacteristic, complemented
99#16840084C2211yescharacteristic, complemented
100#16840083C2211yescharacteristic, complemented
101#16840053C2211yescharacteristic, complemented
102#16840052C2211yescharacteristic, complemented
103#16840051C2211yescharacteristic, complemented
104#16840051C2211yescharacteristic, complemented
105#16840050C2211yescharacteristic, complemented
106#16840050C2211yescharacteristic, complemented
107#16840049C2211yescharacteristic, complemented
108#16840021C2211yescharacteristic, complemented
109#16840020C2211yescharacteristic, complemented
110#16840019C2211yescharacteristic, complemented
111#16840019C2211yescharacteristic, complemented
112#16840018C2211yescharacteristic, complemented
113#16840018C2211yescharacteristic, complemented
114#16840017C2211yescharacteristic, complemented
115#16839994C2211yescharacteristic, complemented
116#16839993C2211yescharacteristic, complemented
117#16839992C2211yescharacteristic, complemented
118#16839991C2211yescharacteristic, complemented
119#16839990C2211yescharacteristic, complemented
120#16839989C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839987C2211yescharacteristic, complemented
123#16839986C2211yescharacteristic, complemented
124#16839985C2211yescharacteristic, complemented
125#16839984C2211yescharacteristic, complemented
126#16839983C2211yescharacteristic, complemented
127#16839982C2211yescharacteristic, complemented
128#16839981C2211yescharacteristic, complemented
129#16839927C2211yescharacteristic, complemented
130#16839926C2211yescharacteristic, complemented
131#16839925C2211yescharacteristic, complemented
132#16839924C2211yescharacteristic, complemented
133#16839923C2211yescharacteristic, complemented
134#16839922C2211yescharacteristic, complemented
135#16839921C2211yescharacteristic, complemented
136#16839915C2211yescharacteristic, complemented
137#16839914C2211yescharacteristic, complemented
138#16839914C2211yescharacteristic, complemented
139#16839913C2211yescharacteristic, complemented
140#16839912C2211yescharacteristic, complemented
141#16839911C2211yescharacteristic, complemented
142#16839911C2211yescharacteristic, complemented
143#16839865C2211yescharacteristic, complemented
144#16839864C2211yescharacteristic, complemented
145#16839863C2211yescharacteristic, complemented
146#16839862C2211yescharacteristic, complemented
147#16839861C2211yescharacteristic, complemented
148#16839860C2211yescharacteristic, complemented
149#16839859C2211yescharacteristic, complemented
150#16839836C2211yescharacteristic, complemented
151#16839835C2211yescharacteristic, complemented
152#16839834C2211yescharacteristic, complemented
153#16839833C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic, complemented
155#16839831C2211yescharacteristic, complemented
156#16839830C2211yescharacteristic, complemented
157#107×D61C2211yescharacteristic, complemented
158#106×D61C2211yescharacteristic, complemented
159#106×D61C2211yescharacteristic, complemented
160C4⋊C8×D61C2211yescharacteristic, complemented
161#16839768C2211yescharacteristic, complemented
162#16839767C2211yescharacteristic, complemented
163#16839766C2211yescharacteristic, complemented
164#16839765C2211yescharacteristic, complemented
165#16839765C2211yescharacteristic, complemented
166#16839765C2211yescharacteristic, complemented
167#16839765C2211yescharacteristic, complemented
168#16839759C2211yescharacteristic, complemented
169#16839758C2211yescharacteristic, complemented
170#16839757C2211yescharacteristic, complemented
171#16839757C2211yescharacteristic, complemented
172#16839756C2211yescharacteristic, complemented
173#16839755C2211yescharacteristic, complemented
174#16839755C2211yescharacteristic, complemented
175#103×D61C2211yescharacteristic, complemented
176#103×D61C2211yescharacteristic, complemented
177#103×D61C2211yescharacteristic, complemented
178#103×D61C2211yescharacteristic, complemented
179#102×D61C2211yescharacteristic
180#102×D61C2211yescharacteristic
181#102×D61C2211yescharacteristic
182#102×D61C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185C22⋊C8×D61C2211yescharacteristic
186C22⋊C8×D61C2211yescharacteristic, complemented
187#97×D61C2211yescharacteristic, complemented
188C61×#556C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#476C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#450C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203C24×D61—21no—
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222C2311yescharacteristic
207C2×#11758224—21no—
208C2×#11758224C2311yescharacteristic
209#41×D61—24no—
210#41×D61—42no—
211C2×Q8×D61—21no—
212C2×Q8×D61C2311yescharacteristic
213C2×Q8×D61C2311yescharacteristic
214C22×D244C2311yescharacteristic
215C22×C22⋊D61—21no—
216C2×D4×D61—24no—
217C2×D4×D61—21no—
218C2×D4×D61—21no—
219C2×D4×D61—21no—
220C2×D4×D61—21no—
221C2×D4×D61—42no—
222C2×D4×D61D411yescharacteristic
223C2×D4×D61C2311yescharacteristic
224C2×D4×D61C2311yescharacteristic
225C2×D4×D61C2311yescharacteristic
226C2×D4×D61C2311yescharacteristic
227C22×C4×D61—21no—
228C22×C4×D61—21no—
229C22×C4×D61C2311yescharacteristic
230C22×C4×D61C2311yescharacteristic
231C2×Dic244C2311yescharacteristic, complemented
232C2×#11758202C2311yescharacteristic, complemented
233C2×#11758202C2311yescharacteristic, complemented
234Q16×D61—42no—
235C2×#11758190C2311yescharacteristic
236C2×#11758190C2311yescharacteristic
237C2×#11758200C2311yescharacteristic
238C2×#11758200C2311yescharacteristic
239C2×#11758201C2311yescharacteristic
240C2×#11758201C2311yescharacteristic
241SD16×D61—24no—
242SD16×D61—42no—
243C2×#11758194C2311yescharacteristic
244C2×#11758189C2311yescharacteristic
245C2×#11758189C2311yescharacteristic
246M16×D61—42no—
247C22×#92418C2311yescharacteristic, complemented
248C2×C8×D61—42no—
249C2×C8×D61C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic, complemented
254C2×C8×D61C2311yescharacteristic, complemented
255#14519777C2311yescharacteristic, complemented
256#14519776—21no—
257#14519776C2311yescharacteristic, complemented
258#14519776C2311yescharacteristic, complemented
259#14519775—21no—
260#14519772—21no—
261#14519772—21no—
262#14519772—21no—
263#14519772—21no—
264#14519772—21no—
265#14519772—21no—
266#14519771—21no—
267#14519771—21no—
268#14519770—21no—
269#14519770—21no—
270#14519770—21no—
271#14519770—21no—
272#14519770—21no—
273#14519770—21no—
274#14519766—21no—
275#14519766C2311yescharacteristic
276#14519765—21no—
277#14519765C2311yescharacteristic
278#14519764—21no—
279#14519764C2311yescharacteristic
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519763—21no—
286#14519762—21no—
287#14519762—21no—
288#14519761—21no—
289#14519760—21no—
290#14519759—21no—
291#14519759—21no—
292#14519758—21no—
293#14519757C2311yescharacteristic
294#14519757C2311yescharacteristic
295#14519757C2311yescharacteristic, complemented
296#14519756C2311yescharacteristic
297#14519756C2311yescharacteristic
298#14519756C2311yescharacteristic, complemented
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519753C2311yescharacteristic
306#14519753C2311yescharacteristic
307#14519753C2311yescharacteristic, complemented
308#14519752—21no—
309#14519752C2311yescharacteristic
310#14519751—21no—
311#14519751C2311yescharacteristic
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519748—21no—
319#14519748C2311yescharacteristic
320#14519747—21no—
321#14519747—21no—
322#14519747—21no—
323#14519746—21no—
324#14519745—21no—
325#14519745—21no—
326#14519745—21no—
327Q8×Dic61—21no—
328Q8×Dic61C2311yescharacteristic, complemented
329C4×Dic122—21no—
330C4×Dic122—21no—
331C4×Dic122—21no—
332C4×Dic122—21no—
333C4×Dic122C2311yescharacteristic, complemented
334#14519742—21no—
335#14519742—21no—
336#14519742—21no—
337#14519742—21no—
338#14519742C2311yescharacteristic, complemented
339C4×D244C2311yescharacteristic
340C4×D244C2311yescharacteristic
341D4×Dic61D411yescharacteristic
342D4×Dic61C2311yescharacteristic
343#14519739D411yescharacteristic
344#14519739C2311yescharacteristic
345C4×C22⋊D61—21no—
346C4×C22⋊D61C2311yescharacteristic
347C4×C22⋊D61C2311yescharacteristic
348#14519737—21no—
349#14519737D411yescharacteristic
350#14519737D411yescharacteristic
351#14519736C2311yescharacteristic
352#14519736C2311yescharacteristic, complemented
353#14519735C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic, complemented
356#14519735C2311yescharacteristic, complemented
357#14519734—21no—
358#14519734—21no—
359#14519733—21no—
360#14519733—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61D411yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C4⋊C4×D61C2311yescharacteristic
371C2×C22⋊Dic61—21no—
372C2×#11758198—21no—
373C2×#11758198—21no—
374C22⋊C4×D61—21no—
375C22⋊C4×D61—21no—
376C22⋊C4×D61—21no—
377C22⋊C4×D61—21no—
378C22⋊C4×D61—21no—
379C22⋊C4×D61—21no—
380C22⋊C4×D61—21no—
381C22⋊C4×D61—21no—
382C22⋊C4×D61—21no—
383C22⋊C4×D61—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61D411yescharacteristic
388C22⋊C4×D61D411yescharacteristic
389C42×D61—21no—
390C42×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic, complemented
394#14519710C2311yescharacteristic, complemented
395#14519710C2311yescharacteristic, complemented
396#14519709C2311yescharacteristic, complemented
397#14519709C2311yescharacteristic, complemented
398#14519708C2311yescharacteristic, complemented
399#14519708C2311yescharacteristic, complemented
400#14519708C2311yescharacteristic, complemented
401#14519708C2311yescharacteristic, complemented
402C4⋊#92418C2311yescharacteristic, complemented
403#14519706C2311yescharacteristic, complemented
404#14519706C2311yescharacteristic, complemented
405#14519702C2311yescharacteristic, complemented
406#14519702C2311yescharacteristic, complemented
407#14519702C2311yescharacteristic, complemented
408#14519702C2311yescharacteristic, complemented
409#14519701C2311yescharacteristic, complemented
410#14519701C2311yescharacteristic, complemented
411#14519701C2311yescharacteristic, complemented
412#14519701C2311yescharacteristic, complemented
413#14519700C2311yescharacteristic, complemented
414#14519700C2311yescharacteristic, complemented
415#14519700C2311yescharacteristic, complemented
416#14519700C2311yescharacteristic, complemented
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic, complemented
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic, complemented
440#14519689C2311yescharacteristic, complemented
441#14519688C2311yescharacteristic, complemented
442#14519687C2311yescharacteristic, complemented
443#14519687C2311yescharacteristic, complemented
444C2×#41×C61C2311yescharacteristic
445C22×D4×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic, complemented
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic, complemented
451C4⋊Q8×C61C2311yescharacteristic, complemented
452#126×C61—21no—
453#126×C61—21no—
454#124×C61—21no—
455#124×C61C2311yescharacteristic
456#123×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic, complemented
460#121×C61—21no—
461#121×C61C2311yescharacteristic
462#120×C61—21no—
463C4×Q8×C61—21no—
464C4×Q8×C61C2311yescharacteristic, complemented
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468#117×C61C2311yescharacteristic, complemented
469C2×C22⋊C4×C61—21no—
470#107×C61C2311yescharacteristic, complemented
471#106×C61C2311yescharacteristic, complemented
472#106×C61C2311yescharacteristic, complemented
473C4⋊C8×C61C2311yescharacteristic, complemented
474#103×C61C2311yescharacteristic, complemented
475#103×C61C2311yescharacteristic, complemented
476#103×C61C2311yescharacteristic, complemented
477#103×C61C2311yescharacteristic, complemented
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic, complemented
486#97×C61C2311yescharacteristic, complemented
487C24×C61—21no—
488C23×D61—21no—
489C23×D61—21no—
490C23×D61—21no—
491C23×D61—21no—
492C23×D61—21no—
493C23×D61—44no—
494C23×D61—44no—
495C23×D61—82no—
496C23×D61C2×D411yescharacteristic
497C23×D61C2×D411yescharacteristic
498#41×C61—22no—
499#41×C61—41no—
500C2×Q8×C61—21no—
501C2×Q8×C61C2411yescharacteristic
502C2×Q8×C61C2411yescharacteristic
503C2×D4×C61—22no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—41no—
508C2×D4×C61C2×D411yescharacteristic
509C2×D4×C61C2411yescharacteristic
510C2×D4×C61C2411yescharacteristic
511C22×C4×C61—21no—
512C22×C4×C61—21no—
513C22×C4×C61C2411yescharacteristic
514C22×C4×C61C2411yescharacteristic
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⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—44no—
524C2×C22⋊D61C2×D411yescharacteristic
525C2×C22⋊D61C2×D411yescharacteristic
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61C2×D411yescharacteristic
529C22×Dic61C2×D411yescharacteristic
530#11758226—22no—
531#11758226—41no—
532Q8×D61—22no—
533Q8×D61—22no—
534Q8×D61—22no—
535Q8×D61—22no—
536Q8×D61—44no—
537#11758224—22no—
538#11758224—41no—
539#11758224—44no—
540D4×D61—22no—
541D4×D61—22no—
542D4×D61—22no—
543D4×D61—22no—
544D4×D61—22no—
545D4×D61—41no—
546D4×D61—41no—
547D4×D61—44no—
548D4×D61—42no—
549D4×D61—44no—
550D4×D61—44no—
551D4×D61—82no—
552D4×D61#4114yes—
553#11758222—22no—
554#11758222—41no—
555#11758222—44no—
556C2×D244—22no—
557C2×D244—21no—
558C2×D244—21no—
559C2×D244—21no—
560C2×D244—41no—
561C2×D244C2×D411yescharacteristic
562C2×D244C2411yescharacteristic
563C2×D244C2411yescharacteristic
564C2×C4×D61—22no—
565C2×C4×D61—22no—
566C2×C4×D61—22no—
567C2×C4×D61—22no—
568C2×C4×D61—21no—
569C2×C4×D61—21no—
570C2×C4×D61—21no—
571C2×C4×D61—21no—
572C2×C4×D61—21no—
573C2×C4×D61—21no—
574C2×C4×D61—21no—
575C2×C4×D61—21no—
576C2×C4×D61—21no—
577C2×C4×D61—21no—
578C2×C4×D61—44no—
579C2×C4×D61—82no—
580C2×C4×D61C2×D411yescharacteristic
581C2×C4×D61C2×D411yescharacteristic
582C2×C4×D61C2×D411yescharacteristic
583C2×C4×D61C2×D411yescharacteristic
584C2×C4×D61C2×D411yescharacteristic
585C2×C4×D61C2×D411yescharacteristic
586C2×C4×D61C2411yescharacteristic
587C2×C4×D61C2411yescharacteristic
588C2×C4×D61C2411yescharacteristic
589C2×Dic122—21no—
590C2×Dic122—21no—
591C2×Dic122—21no—
592C2×Dic122—21no—
593C2×Dic122—21no—
594C2×Dic122C2411yescharacteristic
595C2×Dic122C2411yescharacteristic
596Q16×C61—41no—
597SD16×C61—22no—
598SD16×C61—41no—
599M16×C61—41no—
600C2×C8×C61—41no—
601C2×C8×C61C2411yescharacteristic
602C2×C8×C61C2411yescharacteristic
603C2×C8×C61C2411yescharacteristic
604C2×C8×C61C2411yescharacteristic
605C4⋊C4×C61—21no—
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61—21no—
609C4⋊C4×C61—21no—
610C4⋊C4×C61C2×D411yescharacteristic
611C4⋊C4×C61C2411yescharacteristic
612C4⋊C4×C61C2411yescharacteristic
613C4⋊C4×C61C2411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C22⋊C4×C61—21no—
616C22⋊C4×C61—21no—
617C22⋊C4×C61—21no—
618C22⋊C4×C61—21no—
619C22⋊C4×C61—21no—
620C22⋊C4×C61—21no—
621C22⋊C4×C61—21no—
622C22⋊C4×C61—21no—
623C22⋊C4×C61—21no—
624C22⋊C4×C61C2×D411yescharacteristic
625C22⋊C4×C61C2×D411yescharacteristic
626C42×C61—21no—
627C42×C61—21no—
628C42×C61—21no—
629C42×C61C2411yescharacteristic
630C22⋊Dic61—21no—
631C22⋊Dic61—21no—
632C22⋊Dic61—21no—
633C22⋊Dic61—21no—
634C22⋊Dic61—21no—
635C22⋊Dic61—21no—
636C22⋊Dic61—21no—
637C22⋊Dic61—21no—
638C22⋊Dic61—21no—
639C22⋊Dic61C2×D411yescharacteristic
640C22⋊Dic61C2×D411yescharacteristic
641#11758202—41no—
642#11758202—41no—
643#11758201—22no—
644#11758201—41no—
645#11758200—22no—
646#11758200—41no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198—21no—
663#11758198—21no—
664#11758198—21no—
665#11758198C2×D411yescharacteristic
666#11758198C2×D411yescharacteristic
667#11758198C2×D411yescharacteristic
668#11758198C2×D411yescharacteristic
669C4⋊Dic61—21no—
670C4⋊Dic61—21no—
671C4⋊Dic61—21no—
672C4⋊Dic61—21no—
673C4⋊Dic61—21no—
674C4⋊Dic61C2×D411yescharacteristic
675C4⋊Dic61C2411yescharacteristic
676C4⋊Dic61C2411yescharacteristic
677C4⋊Dic61C2411yescharacteristic
678C4⋊Dic61C2411yescharacteristic
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196—21no—
692#11758196—21no—
693#11758196C2×D411yescharacteristic
694#11758196C2×D411yescharacteristic
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61—21no—
702C4×Dic61—21no—
703C4×Dic61—21no—
704C4×Dic61C2×D411yescharacteristic
705C4×Dic61C2×D411yescharacteristic
706C4×Dic61C2411yescharacteristic
707#11758194—41no—
708C2×#92418—41no—
709C2×#92418C2411yescharacteristic
710C2×#92418C2411yescharacteristic
711C2×#92418C2411yescharacteristic
712C2×#92418C2411yescharacteristic
713Dic244—41no—
714#11758190—22no—
715#11758190—41no—
716#11758189—41no—
717#11758189—41no—
718C8×D61—22no—
719C8×D61—22no—
720C8×D61—22no—
721C8×D61—22no—
722C8×D61—41no—
723C8×D61—41no—
724C23×C61—21no—
725C23×C61—21no—
726C23×C61—42no—
727C23×C61—42no—
728C23×C61—81no—
729C23×C61C22×D411yescharacteristic
730C23×C61C22×D411yescharacteristic
731C22×D61—21no—
732C22×D61—22no—
733C22×D61—22no—
734C22×D61—24no—
735C22×D61—22no—
736C22×D61—22no—
737C22×D61—22no—
738C22×D61—22no—
739C22×D61—21no—
740C22×D61—42no—
741C22×D61—42no—
742C22×D61—42no—
743C22×D61—42no—
744C22×D61—42no—
745C22×D61—42no—
746C22×D61—42no—
747C22×D61—42no—
748C22×D61—42no—
749C22×D61—42no—
750C22×D61—42no—
751C22×D61—81no—
752C22×D61—81no—
753C22×D61—81no—
754C22×D61—816no—
755C22×D61C22×D411yescharacteristic
756C22×D61C22×D411yescharacteristic
757C22×D61C22×D411yescharacteristic
758Q8×C61—21no—
759Q8×C61—21no—
760Q8×C61—21no—
761Q8×C61—21no—
762Q8×C61—42no—
763D4×C61—21no—
764D4×C61—21no—
765D4×C61—21no—
766D4×C61—41no—
767D4×C61—42no—
768D4×C61—42no—
769D4×C61—81no—
770D4×C61C2×#4112yes—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—21no—
781C2×C4×C61—42no—
782C2×C4×C61—81no—
783C2×C4×C61C22×D411yescharacteristic
784C2×C4×C61C22×D411yescharacteristic
785C2×C4×C61C22×D411yescharacteristic
786C2×C4×C61C22×D411yescharacteristic
787C2×C4×C61C2511yescharacteristic
788C22⋊D61—24no—
789C22⋊D61—41no—
790C22⋊D61—41no—
791C22⋊D61—42no—
792C22⋊D61—42no—
793C22⋊D61—42no—
794C22⋊D61—42no—
795C22⋊D61—42no—
796C22⋊D61—81no—
797C22⋊D61—81no—
798C2×Dic61—22no—
799C2×Dic61—22no—
800C2×Dic61—21no—
801C2×Dic61—21no—
802C2×Dic61—21no—
803C2×Dic61—21no—
804C2×Dic61—21no—
805C2×Dic61—21no—
806C2×Dic61—42no—
807C2×Dic61—81no—
808C2×Dic61C22×D411yescharacteristic
809C2×Dic61C22×D411yescharacteristic
810C2×Dic61C22×D411yescharacteristic
811C2×Dic61C22×D411yescharacteristic
812C2×Dic61C22×D411yescharacteristic
813D244—21no—
814D244—21no—
815D244—21no—
816D244—41no—
817D244—42no—
818D244—42no—
819D244—81no—
820D244C2×#4112yes—
821C4×D61—22no—
822C4×D61—22no—
823C4×D61—22no—
824C4×D61—22no—
825C4×D61—21no—
826C4×D61—21no—
827C4×D61—21no—
828C4×D61—21no—
829C4×D61—22no—
830C4×D61—22no—
831C4×D61—42no—
832C4×D61—42no—
833C4×D61—42no—
834C4×D61—42no—
835C4×D61—42no—
836C4×D61—42no—
837C4×D61—42no—
838C4×D61—42no—
839C4×D61—81no—
840C4×D61—81no—
841C4×D61C2×#4112yes—
842C4×D61H(5,𝔽2)12yes—
843Dic122—21no—
844Dic122—21no—
845Dic122—21no—
846Dic122—21no—
847Dic122—42no—
848Dic122—42no—
849Dic122—42no—
850Dic122—42no—
851Dic122—42no—
852C8×C61—21no—
853C8×C61—21no—
854C8×C61—21no—
855C8×C61—21no—
856#92418—21no—
857#92418—21no—
858#92418—21no—
859#92418—21no—
860C2×#3311—611nomaximal, Sylow
861C22×C61—21no—
862C22×C61—21no—
863C22×C61—22no—
864C22×C61—21no—
865C22×C61—21no—
866C22×C61—21no—
867C22×C61—21no—
868C22×C61—41no—
869C22×C61—41no—
870C22×C61—41no—
871C22×C61—41no—
872C22×C61—41no—
873C22×C61—84no—
874C22×C61C23×D411yescharacteristic
875C2×D61—21no—
876C2×D61—21no—
877C2×D61—22no—
878C2×D61—21no—
879C2×D61—21no—
880C2×D61—21no—
881C2×D61—21no—
882C2×D61—41no—
883C2×D61—41no—
884C2×D61—44no—
885C2×D61—44no—
886C2×D61—48no—
887C2×D61—41no—
888C2×D61—41no—
889C2×D61—41no—
890C2×D61—84no—
891C2×D61—84no—
892C2×D61—84no—
893C2×D61—84no—
894C2×D61#54612yes—
895C2×D61#57512yes—
896C2×D61#57712yes—
897C4×C61—21no—
898C4×C61—21no—
899C4×C61—21no—
900C4×C61—21no—
901C4×C61—41no—
902C4×C61—41no—
903C4×C61—41no—
904C4×C61—41no—
905C4×C61—41no—
906C4×C61—41no—
907C4×C61C22×#4111yescharacteristic
908C4×C61C2×H(5,𝔽2)11yescharacteristic
909Dic61—21no—
910Dic61—21no—
911Dic61—21no—
912Dic61—21no—
913Dic61—41no—
914Dic61—41no—
915Dic61—41no—
916Dic61—41no—
917Dic61—41no—
918Dic61—41no—
919Dic61#54612yes—
920C2×#556—611no—
921C2×#546—611no—
922#3311—611no—
923#3311—611no—
924#3311—611no—
925#3311—611no—
926#3311—611no—
927#3311—611no—
928#3311—611no—
929#3311—611no—
930#3311—611no—
931#3311—611no—
932#3311—611no—
933#3311—611no—
934#3311—611no—
935#3311—611no—
936#3311—611no—
937#3311D6111yescharacteristic, direct product factor
938C2×#489—611no—
939C2×#485—611no—
940C2×#482—611no—
941C2×#476—611no—
942C2×#470—611no—
943C2×#465—611no—
944C2×#464—611no—
945C2×#452—611no—
946C2×#450—611no—
947C2×#440—611no—
948C2×#435—611no—
949C2×#418—611no—
950C2×#416—611no—
951C2×C61—41no—
952C2×C61—42no—
953C2×C61—41no—
954C2×C61—81no—
955C2×C61C2×#54611yescharacteristic
956C2×C61C2×#57511yescharacteristic
957C2×C61C2×#57711yescharacteristic
958D61—41no—
959D61—41no—
960D61—42no—
961D61—81no—
962D61#331114yesdirect product factor
963C22×#41—611no—
964C23×D4—611no—
965C22×Q16—611no—
966C22×SD16—611no—
967C22×SD16—611no—
968C22×M16—611no—
969C23×C8—611no—
970#556—611no—
971#556—611no—
972#556—611no—
973#556—611no—
974#556—611no—
975#556—611no—
976#556—611no—
977#556—1221no—
978#556—1221no—
979#556—1221no—
980#556—1221no—
981#556C2×D6111yescharacteristic, complemented
982#546—611no—
983#546—611no—
984#546—611no—
985#546—611no—
986#546—611no—
987#546—611no—
988#546—611no—
989#546—1221no—
990#546—1221no—
991#546—1221no—
992#546—1221no—
993#546C2×D6111yescharacteristic
994C2×C4⋊Q8—611no—
995C2×#126—1221no—
996C2×#126—1221no—
997C2×#124—611no—
998C2×#124—1221no—
999C2×#123—1221no—
1000C2×C22⋊Q8—611no—
1001C2×C22⋊Q8—611no—
1002C2×C22⋊Q8—611no—
1003C2×#121—611no—
1004C2×#121—1221no—
1005C2×#120—1221no—
1006C2×C4×Q8—611no—
1007C2×C4×Q8—1221no—
1008C2×C4×D4—611no—
1009C2×C4×D4—611no—
1010C2×#117—611no—
1011C2×#117—611no—
1012C22×C22⋊C4—1221no—
1013#489—611no—
1014#489—611no—
1015#489—611no—
1016#489—611no—
1017#489—611no—
1018#489—611no—
1019#489—611no—
1020#489C2×D6111yescharacteristic, complemented
1021#485—611no—
1022#485—611no—
1023#485—611no—
1024#485—611no—
1025#485—611no—
1026#485—611no—
1027#485—611no—
1028#485C2×D6111yescharacteristic, complemented
1029#482—611no—
1030#482—611no—
1031#482—611no—
1032#482—611no—
1033#482—611no—
1034#482—611no—
1035#482—611no—
1036#482C2×D6111yescharacteristic, complemented
1037#476—611no—
1038#476—611no—
1039#476—611no—
1040#476—611no—
1041#476—611no—
1042#476—611no—
1043#476—611no—
1044#476C2×D6111yescharacteristic, complemented
1045#470—611no—
1046#470—611no—
1047#470—611no—
1048#470—611no—
1049#470—611no—
1050#470—611no—
1051#470—611no—
1052#470C2×D6111yescharacteristic, complemented
1053#465—611no—
1054#465—611no—
1055#465—611no—
1056#465—611no—
1057#465—611no—
1058#465—611no—
1059#465—611no—
1060#465C2×D6111yescharacteristic, complemented
1061#464—611no—
1062#464—611no—
1063#464—611no—
1064#464—611no—
1065#464—611no—
1066#464—611no—
1067#464—611no—
1068#464C2×D6111yescharacteristic, complemented
1069#452—611no—
1070#452—611no—
1071#452—611no—
1072#452—611no—
1073#452—611no—
1074#452—611no—
1075#452—611no—
1076#452C2×D6111yescharacteristic, complemented
1077#450—611no—
1078#450—611no—
1079#450—611no—
1080#450—611no—
1081#450—611no—
1082#450—611no—
1083#450—611no—
1084#450C2×D6111yescharacteristic, complemented
1085#440—611no—
1086#440—611no—
1087#440—611no—
1088#440—611no—
1089#440—611no—
1090#440—611no—
1091#440—611no—
1092#440C2×D6111yescharacteristic, complemented
1093#435—611no—
1094#435—611no—
1095#435—611no—
1096#435—611no—
1097#435—611no—
1098#435—611no—
1099#435—611no—
1100#435C2×D6111yescharacteristic, complemented
1101C2×#107—611no—
1102C2×#106—611no—
1103C2×#106—611no—
1104C2×C4⋊C8—611no—
1105#418—611no—
1106#418—611no—
1107#418—611no—
1108#418—611no—
1109#418—611no—
1110#418—611no—
1111#418—611no—
1112#418C2×D6111yescharacteristic, complemented
1113#416—611no—
1114#416—611no—
1115#416—611no—
1116#416—611no—
1117#416—611no—
1118#416—611no—
1119#416—611no—
1120#416C2×D6111yescharacteristic, complemented
1121C2×#103—611no—
1122C2×#103—611no—
1123C2×#103—611no—
1124C2×#103—611no—
1125C2×#102—611no—
1126C2×#102—611no—
1127C2×#102—611no—
1128C2×#102—611no—
1129C2×#102—611no—
1130C2×#102—611no—
1131C2×C22⋊C8—611no—
1132C2×C22⋊C8—611no—
1133C2×#97—611no—
1134C61C2×#331111yescharacteristic, complemented, Sylow
1135C25—1221no—
1136C2×#41—611no—
1137C2×#41—611no—
1138C2×#41—611no—
1139C2×#41—1221no—
1140C2×#41—1221no—
1141C2×#41—1224no—
1142C2×#41—2442no—
1143C2×#41C22×D6111yescharacteristic
1144C22×Q8—611no—
1145C22×Q8—611no—
1146C22×Q8—1221no—
1147C22×D4—611no—
1148C22×D4—611no—
1149C22×D4—611no—
1150C22×D4—611no—
1151C22×D4—611no—
1152C22×D4—611no—
1153C22×D4—1221no—
1154C22×D4—1221no—
1155C22×D4—1221no—
1156C22×D4—1224no—
1157C22×D4—1221no—
1158C22×D4—1221no—
1159C22×D4—2442no—
1160C22×D4C22×D6111yescharacteristic
1161C23×C4—611no—
1162C23×C4—611no—
1163C23×C4—1221no—
1164C23×C4—1221no—
1165C2×Q16—611no—
1166C2×Q16—611no—
1167C2×Q16—611no—
1168C2×Q16—2442no—
1169C2×Q16C22×D6111yescharacteristic, complemented
1170C2×SD16—611no—
1171C2×SD16—611no—
1172C2×SD16—611no—
1173C2×SD16—611no—
1174C2×SD16—611no—
1175C2×SD16—611no—
1176C2×SD16—1224no—
1177C2×SD16—2442no—
1178C2×SD16C22×D6111yescharacteristic
1179C2×SD16C22×D6111yescharacteristic
1180C2×M16—611no—
1181C2×M16—611no—
1182C2×M16—611no—
1183C2×M16—2442no—
1184C2×M16C22×D6111yescharacteristic
1185C22×C8—611no—
1186C22×C8—611no—
1187C22×C8—611no—
1188C22×C8—611no—
1189C22×C8—611no—
1190C22×C8—611no—
1191C22×C8—611no—
1192C22×C8—2442no—
1193C22×C8C22×D6111yescharacteristic, complemented
1194C4⋊Q8—611no—
1195C4⋊Q8—611no—
1196C4⋊Q8—611no—
1197C4⋊Q8—1221no—
1198C4⋊Q8—1221no—
1199C4⋊Q8C22×D6111yescharacteristic, complemented
1200#126—21no—
1201#126—21no—
1202#126—1221no—
1203#126—1221no—
1204#126—1221no—
1205#126—1221no—
1206#126—1221no—
1207#126—1221no—
1208#126—1221no—
1209#126—1221no—
1210#126—1221no—
1211#126—1221no—
1212#126—1221no—
1213#126—1221no—
1214#126—1221no—
1215#126—1221no—
1216#124—21no—
1217#124—611no—
1218#124—611no—
1219#124—611no—
1220#124—1221no—
1221#124—1221no—
1222#124—1221no—
1223#124—1221no—
1224#124—1221no—
1225#124—1221no—
1226#124—1221no—
1227#124—1221no—
1228#124—1221no—
1229#124C22×D6111yescharacteristic
1230#123—21no—
1231#123—1221no—
1232#123—1221no—
1233#123—1221no—
1234#123—1221no—
1235#123—1221no—
1236#123—1221no—
1237#123—1221no—
1238C22⋊Q8—611no—
1239C22⋊Q8—611no—
1240C22⋊Q8—611no—
1241C22⋊Q8—611no—
1242C22⋊Q8—611no—
1243C22⋊Q8—611no—
1244C22⋊Q8—611no—
1245C22⋊Q8—611no—
1246C22⋊Q8—611no—
1247C22⋊Q8—1221no—
1248C22⋊Q8—1221no—
1249C22⋊Q8—1221no—
1250C22⋊Q8—1221no—
1251C22⋊Q8—1221no—
1252C22⋊Q8—1221no—
1253C22⋊Q8C22×D6111yescharacteristic
1254C22⋊Q8C22×D6111yescharacteristic
1255C22⋊Q8C22×D6111yescharacteristic, complemented
1256#121—21no—
1257#121—611no—
1258#121—611no—
1259#121—611no—
1260#121—1221no—
1261#121—1221no—
1262#121—1221no—
1263#121—1221no—
1264#121—1221no—
1265#121—1221no—
1266#121—1221no—
1267#121—1221no—
1268#121—1221no—
1269#121C22×D6111yescharacteristic
1270#120—21no—
1271#120—1221no—
1272#120—1221no—
1273#120—1221no—
1274#120—1221no—
1275#120—1221no—
1276#120—1221no—
1277#120—1221no—
1278C4×Q8—21no—
1279C4×Q8—611no—
1280C4×Q8—611no—
1281C4×Q8—611no—
1282C4×Q8—1221no—
1283C4×Q8—1221no—
1284C4×Q8—1221no—
1285C4×Q8—1221no—
1286C4×Q8—1221no—
1287C4×Q8—1221no—
1288C4×Q8—1221no—
1289C4×Q8—1221no—
1290C4×Q8—1221no—
1291C4×Q8C22×D6111yescharacteristic, complemented
1292C4×D4—611no—
1293C4×D4—611no—
1294C4×D4—611no—
1295C4×D4—611no—
1296C4×D4—611no—
1297C4×D4—611no—
1298C4×D4—611no—
1299C4×D4—611no—
1300C4×D4—611no—
1301C4×D4—611no—
1302C4×D4—1221no—
1303C4×D4—1221no—
1304C4×D4C22×D6111yescharacteristic
1305C4×D4C22×D6111yescharacteristic
1306#117—611no—
1307#117—611no—
1308#117—611no—
1309#117—611no—
1310#117—611no—
1311#117—611no—
1312#117—1221no—
1313#117—1221no—
1314#117—1221no—
1315#117—1221no—
1316#117C22×D6111yescharacteristic
1317#117C22×D6111yescharacteristic, complemented
1318C2×C4⋊C4—611no—
1319C2×C4⋊C4—611no—
1320C2×C4⋊C4—611no—
1321C2×C4⋊C4—611no—
1322C2×C4⋊C4—611no—
1323C2×C4⋊C4—1221no—
1324C2×C4⋊C4—1221no—
1325C2×C4⋊C4—1221no—
1326C2×C4⋊C4—1221no—
1327C2×C4⋊C4—1221no—
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—611no—
1330C2×C22⋊C4—611no—
1331C2×C22⋊C4—1221no—
1332C2×C22⋊C4—1221no—
1333C2×C22⋊C4—1221no—
1334C2×C22⋊C4—1221no—
1335C2×C22⋊C4—1221no—
1336C2×C22⋊C4—1221no—
1337C2×C22⋊C4—1221no—
1338C2×C22⋊C4—1221no—
1339C2×C22⋊C4—1221no—
1340C2×C22⋊C4—1221no—
1341C2×C22⋊C4—1221no—
1342C2×C22⋊C4—1221no—
1343C2×C22⋊C4—1221no—
1344C2×C22⋊C4—1221no—
1345C2×C22⋊C4—1221no—
1346C2×C22⋊C4—1221no—
1347C2×C42—611no—
1348C2×C42—1221no—
1349C2×C42—1221no—
1350C2×C42—1221no—
1351#107—611no—
1352#107—611no—
1353#107—611no—
1354#107C22×D6111yescharacteristic, complemented
1355#106—611no—
1356#106—611no—
1357#106—611no—
1358#106—611no—
1359#106—611no—
1360#106—611no—
1361#106C22×D6111yescharacteristic, complemented
1362#106C22×D6111yescharacteristic, complemented
1363C4⋊C8—611no—
1364C4⋊C8—611no—
1365C4⋊C8—611no—
1366C4⋊C8C22×D6111yescharacteristic, complemented
1367#103—611no—
1368#103—611no—
1369#103—611no—
1370#103—611no—
1371#103—611no—
1372#103—611no—
1373#103—611no—
1374#103—611no—
1375#103—611no—
1376#103—611no—
1377#103—611no—
1378#103—611no—
1379#103C22×D6111yescharacteristic, complemented
1380#103C22×D6111yescharacteristic, complemented
1381#103C22×D6111yescharacteristic, complemented
1382#103C22×D6111yescharacteristic, complemented
1383#102—611no—
1384#102—611no—
1385#102—611no—
1386#102—611no—
1387#102—611no—
1388#102—611no—
1389#102—611no—
1390#102—611no—
1391#102—611no—
1392#102—611no—
1393#102—611no—
1394#102—611no—
1395#102—611no—
1396#102—611no—
1397#102—611no—
1398#102—611no—
1399#102—611no—
1400#102—611no—
1401#102C22×D6111yescharacteristic
1402#102C22×D6111yescharacteristic
1403#102C22×D6111yescharacteristic
1404#102C22×D6111yescharacteristic
1405#102C22×D6111yescharacteristic
1406#102C22×D6111yescharacteristic
1407C22⋊C8—611no—
1408C22⋊C8—611no—
1409C22⋊C8—611no—
1410C22⋊C8—611no—
1411C22⋊C8—611no—
1412C22⋊C8—611no—
1413C22⋊C8C22×D6111yescharacteristic
1414C22⋊C8C22×D6111yescharacteristic, complemented
1415#97—611no—
1416#97—611no—
1417#97—611no—
1418#97C22×D6111yescharacteristic, complemented
1419C24—21no—
1420C24—611no—
1421C24—611no—
1422C24—1221no—
1423C24—1221no—
1424C24—1221no—
1425C24—1221no—
1426C24—1221no—
1427C24—4882no—
1428C24—2444no—
1429C24—2444no—
1430#41—22no—
1431#41—41no—
1432#41—1222no—
1433#41—1222no—
1434#41—1222no—
1435#41—2441no—
1436#41—2444no—
1437#41—2441no—
1438#41—2444no—
1439#41—2441no—
1440C2×Q8—21no—
1441C2×Q8—611no—
1442C2×Q8—611no—
1443C2×Q8—1221no—
1444C2×Q8—1221no—
1445C2×Q8—1221no—
1446C2×Q8—1221no—
1447C2×Q8—1222no—
1448C2×Q8—1222no—
1449C2×Q8—1222no—
1450C2×Q8—1222no—
1451C2×Q8—1221no—
1452C2×Q8—2444no—
1453C2×Q8C23×D6111yescharacteristic
1454C2×Q8C23×D6111yescharacteristic
1455C2×D4—22no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—41no—
1460C2×D4—614no—
1461C2×D4—611no—
1462C2×D4—611no—
1463C2×D4—611no—
1464C2×D4—611no—
1465C2×D4—611no—
1466C2×D4—1222no—
1467C2×D4—1221no—
1468C2×D4—1221no—
1469C2×D4—1222no—
1470C2×D4—1222no—
1471C2×D4—1222no—
1472C2×D4—1221no—
1473C2×D4—1221no—
1474C2×D4—1221no—
1475C2×D4—1221no—
1476C2×D4—1222no—
1477C2×D4—1222no—
1478C2×D4—1221no—
1479C2×D4—1221no—
1480C2×D4—1221no—
1481C2×D4—1221no—
1482C2×D4—1221no—
1483C2×D4—4882no—
1484C2×D4—2441no—
1485C2×D4—2441no—
1486C2×D4—2441no—
1487C2×D4—2444no—
1488C2×D4—2442no—
1489C2×D4—2444no—
1490C2×D4—2444no—
1491C2×D4—2444no—
1492C2×D4D4×D6111yescharacteristic
1493C2×D4C23×D6111yescharacteristic
1494C2×D4C23×D6111yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—611no—
1498C22×C4—611no—
1499C22×C4—611no—
1500C22×C4—611no—
1501C22×C4—611no—
1502C22×C4—611no—
1503C22×C4—611no—
1504C22×C4—611no—
1505C22×C4—611no—
1506C22×C4—611no—
1507C22×C4—611no—
1508C22×C4—1222no—
1509C22×C4—1222no—
1510C22×C4—1222no—
1511C22×C4—1222no—
1512C22×C4—1221no—
1513C22×C4—1221no—
1514C22×C4—1221no—
1515C22×C4—1221no—
1516C22×C4—1221no—
1517C22×C4—1221no—
1518C22×C4—1221no—
1519C22×C4—1221no—
1520C22×C4—1221no—
1521C22×C4—1221no—
1522C22×C4—1221no—
1523C22×C4—1221no—
1524C22×C4—4882no—
1525C22×C4—2444no—
1526C22×C4C23×D6111yescharacteristic
1527C22×C4C23×D6111yescharacteristic
1528Q16—41no—
1529Q16—2441no—
1530Q16—2441no—
1531Q16—2441no—
1532SD16—22no—
1533SD16—41no—
1534SD16—1222no—
1535SD16—1222no—
1536SD16—1222no—
1537SD16—2441no—
1538SD16—2441no—
1539SD16—2441no—
1540M16—41no—
1541M16—2441no—
1542M16—2441no—
1543M16—2441no—
1544C2×C8—41no—
1545C2×C8—611no—
1546C2×C8—611no—
1547C2×C8—611no—
1548C2×C8—611no—
1549C2×C8—1222no—
1550C2×C8—1222no—
1551C2×C8—1222no—
1552C2×C8—1222no—
1553C2×C8—2441no—
1554C2×C8—2441no—
1555C2×C8—2441no—
1556C2×C8C23×D6111yescharacteristic
1557C2×C8C23×D6111yescharacteristic
1558C2×C8C23×D6111yescharacteristic
1559C2×C8C23×D6111yescharacteristic
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—611no—
1566C4⋊C4—611no—
1567C4⋊C4—611no—
1568C4⋊C4—611no—
1569C4⋊C4—611no—
1570C4⋊C4—611no—
1571C4⋊C4—611no—
1572C4⋊C4—1221no—
1573C4⋊C4—1221no—
1574C4⋊C4—1221no—
1575C4⋊C4—1221no—
1576C4⋊C4—1221no—
1577C4⋊C4—1221no—
1578C4⋊C4—1221no—
1579C4⋊C4—1221no—
1580C4⋊C4—1221no—
1581C4⋊C4—1221no—
1582C4⋊C4—1221no—
1583C4⋊C4—1221no—
1584C4⋊C4—1221no—
1585C4⋊C4—1221no—
1586C4⋊C4—1221no—
1587C4⋊C4—1221no—
1588C4⋊C4—1221no—
1589C4⋊C4—1221no—
1590C4⋊C4—1221no—
1591C4⋊C4D4×D6111yescharacteristic
1592C4⋊C4C23×D6111yescharacteristic
1593C4⋊C4C23×D6111yescharacteristic
1594C4⋊C4C23×D6111yescharacteristic
1595C4⋊C4C23×D6111yescharacteristic
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—611no—
1606C22⋊C4—611no—
1607C22⋊C4—611no—
1608C22⋊C4—611no—
1609C22⋊C4—611no—
1610C22⋊C4—611no—
1611C22⋊C4—1221no—
1612C22⋊C4—1221no—
1613C22⋊C4—1221no—
1614C22⋊C4—1221no—
1615C22⋊C4—1221no—
1616C22⋊C4—1221no—
1617C22⋊C4—1221no—
1618C22⋊C4—1221no—
1619C22⋊C4—1221no—
1620C22⋊C4—1221no—
1621C22⋊C4—1221no—
1622C22⋊C4—1221no—
1623C22⋊C4—1221no—
1624C22⋊C4—1221no—
1625C22⋊C4—1221no—
1626C22⋊C4—1221no—
1627C22⋊C4—1221no—
1628C22⋊C4—1221no—
1629C22⋊C4—1221no—
1630C22⋊C4—1221no—
1631C22⋊C4—1221no—
1632C22⋊C4—1221no—
1633C22⋊C4—1221no—
1634C22⋊C4—1221no—
1635C22⋊C4—1221no—
1636C22⋊C4—1221no—
1637C22⋊C4—1221no—
1638C22⋊C4D4×D6111yescharacteristic
1639C22⋊C4D4×D6111yescharacteristic
1640C42—21no—
1641C42—21no—
1642C42—21no—
1643C42—611no—
1644C42—611no—
1645C42—611no—
1646C42—1221no—
1647C42—1221no—
1648C42—1221no—
1649C42—1221no—
1650C42—1221no—
1651C42—1221no—
1652C42—1221no—
1653C42—1221no—
1654C42—1221no—
1655C42C23×D6111yescharacteristic
1656C23—21no—
1657C23—21no—
1658C23—42no—
1659C23—42no—
1660C23—81no—
1661C23—611no—
1662C23—611no—
1663C23—611no—
1664C23—1222no—
1665C23—1222no—
1666C23—1224no—
1667C23—1222no—
1668C23—1222no—
1669C23—1222no—
1670C23—1222no—
1671C23—1221no—
1672C23—1221no—
1673C23—4881no—
1674C23—4881no—
1675C23—4881no—
1676C23—48816no—
1677C23—2442no—
1678C23—2442no—
1679C23—2442no—
1680C23—2442no—
1681C23—2442no—
1682C23—2442no—
1683C23—2442no—
1684C23—2442no—
1685C23—2442no—
1686C23—2442no—
1687C23—2442no—
1688C23C2×D4×D6111yescharacteristic
1689C23C2×D4×D6111yescharacteristic
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—42no—
1695Q8—1221no—
1696Q8—1221no—
1697Q8—1221no—
1698Q8—1221no—
1699Q8—2442no—
1700Q8—2442no—
1701Q8—2442no—
1702Q8—2442no—
1703Q8—2442no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—41no—
1708D4—42no—
1709D4—42no—
1710D4—81no—
1711D4—612no—
1712D4—1224no—
1713D4—1221no—
1714D4—1221no—
1715D4—1221no—
1716D4—4881no—
1717D4—4881no—
1718D4—4881no—
1719D4—2441no—
1720D4—2442no—
1721D4—2442no—
1722D4—2442no—
1723D4—2441no—
1724D4—2441no—
1725D4—2442no—
1726D4—2442no—
1727D4—2442no—
1728D4—2442no—
1729D4#41×D6112yes—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—42no—
1741C2×C4—81no—
1742C2×C4—611no—
1743C2×C4—612no—
1744C2×C4—612no—
1745C2×C4—611no—
1746C2×C4—611no—
1747C2×C4—611no—
1748C2×C4—611no—
1749C2×C4—1222no—
1750C2×C4—1222no—
1751C2×C4—1222no—
1752C2×C4—1222no—
1753C2×C4—1222no—
1754C2×C4—1222no—
1755C2×C4—1222no—
1756C2×C4—1222no—
1757C2×C4—1221no—
1758C2×C4—1221no—
1759C2×C4—1221no—
1760C2×C4—1221no—
1761C2×C4—1221no—
1762C2×C4—1221no—
1763C2×C4—1221no—
1764C2×C4—1221no—
1765C2×C4—1221no—
1766C2×C4—1221no—
1767C2×C4—4881no—
1768C2×C4—4881no—
1769C2×C4—4881no—
1770C2×C4—2442no—
1771C2×C4—2442no—
1772C2×C4—2442no—
1773C2×C4—2442no—
1774C2×C4—2442no—
1775C2×C4—2442no—
1776C2×C4—2442no—
1777C2×C4—2442no—
1778C2×C4—2442no—
1779C2×C4C2×D4×D6111yescharacteristic
1780C2×C4C2×D4×D6111yescharacteristic
1781C2×C4C2×D4×D6111yescharacteristic
1782C2×C4C2×D4×D6111yescharacteristic
1783C2×C4C24×D6111yescharacteristic
1784C8—21no—
1785C8—21no—
1786C8—21no—
1787C8—21no—
1788C8—1221no—
1789C8—1221no—
1790C8—1221no—
1791C8—1221no—
1792C22—21no—
1793C22—21no—
1794C22—22no—
1795C22—21no—
1796C22—21no—
1797C22—21no—
1798C22—21no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—84no—
1805C22—612no—
1806C22—612no—
1807C22—612no—
1808C22—1221no—
1809C22—1221no—
1810C22—1222no—
1811C22—1221no—
1812C22—1221no—
1813C22—1221no—
1814C22—1221no—
1815C22—4884no—
1816C22—4884no—
1817C22—4884no—
1818C22—4884no—
1819C22—2444no—
1820C22—2444no—
1821C22—2448no—
1822C22—2441no—
1823C22—2441no—
1824C22—2441no—
1825C22—2441no—
1826C22—2441no—
1827C22C22×D4×D6111yescharacteristic
1828C4—21no—
1829C4—21no—
1830C4—21no—
1831C4—21no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—612no—
1839C4—1221no—
1840C4—1221no—
1841C4—1221no—
1842C4—1221no—
1843C4—2441no—
1844C4—2441no—
1845C4—2441no—
1846C4—2441no—
1847C4—2441no—
1848C4—2441no—
1849C4C2×#41×D6111yescharacteristic
1850C4H(5,𝔽2)×D6111yescharacteristic
1851C2—41no—
1852C2—41no—
1853C2—42no—
1854C2—81no—
1855C2—614no—
1856C2—4881no—
1857C2—2441no—
1858C2—2441no—
1859C2—2442no—
1860C2#546×D6111yescharacteristic
1861C2#575×D6111yescharacteristic
1862C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3311C2
socleC22×C61C23×D4
prime radical#546×D61C2
hypercenter#3311D61
hypocenterC61C2×#3311
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #556×D61C2semidirect
3. #21457862C2semidirect
4. #21457861C2semidirect
5. #21457860C2semidirect
6. #21457859C2semidirect
7. #21457858C2semidirect
8. #21457857C2semidirect
9. #21457856C2semidirect
10. #21457855C2semidirect
11. #21457854C2semidirect
12. #21457853C2semidirect
13. #21457852C2semidirect
14. #21457851C2semidirect
15. #21457850C2semidirect
16. #21457849C2semidirect
17. #21457848C2semidirect
18. #489×D61C2semidirect
19. #485×D61C2semidirect
20. #482×D61C2semidirect
21. #476×D61C2semidirect
22. #470×D61C2semidirect
23. #465×D61C2semidirect
24. #464×D61C2semidirect
25. #452×D61C2semidirect
26. #450×D61C2semidirect
27. #440×D61C2semidirect
28. #435×D61C2semidirect
29. #418×D61C2semidirect
30. #416×D61C2semidirect
31. C61×#3311C2semidirect
34. C2×Q16×D61C22semidirect
38. C22×C8×D61C22semidirect
39. #16840486C22semidirect
40. #16840485C22semidirect
42. #16840483C22semidirect
43. #16840483C22semidirect
44. #16840482C22semidirect
46. #16840480C22semidirect
47. #16840480C22semidirect
61. C4⋊Q8×D61C22semidirect
69. C22⋊Q8×D61C22semidirect
74. C4×Q8×D61C22semidirect
78. #117×D61C22semidirect
80. #16840124C22semidirect
81. #16840123C22semidirect
82. #16840123C22semidirect
83. #16840122C22semidirect
84. #16840121C22semidirect
85. #16840120C22semidirect
86. #16840120C22semidirect
87. #16840106C22semidirect
88. #16840105C22semidirect
89. #16840104C22semidirect
90. #16840103C22semidirect
91. #16840102C22semidirect
92. #16840101C22semidirect
93. #16840100C22semidirect
94. #16840089C22semidirect
95. #16840088C22semidirect
96. #16840087C22semidirect
97. #16840086C22semidirect
98. #16840085C22semidirect
99. #16840084C22semidirect
100. #16840083C22semidirect
101. #16840053C22semidirect
102. #16840052C22semidirect
103. #16840051C22semidirect
104. #16840051C22semidirect
105. #16840050C22semidirect
106. #16840050C22semidirect
107. #16840049C22semidirect
108. #16840021C22semidirect
109. #16840020C22semidirect
110. #16840019C22semidirect
111. #16840019C22semidirect
112. #16840018C22semidirect
113. #16840018C22semidirect
114. #16840017C22semidirect
115. #16839994C22semidirect
116. #16839993C22semidirect
117. #16839992C22semidirect
118. #16839991C22semidirect
119. #16839990C22semidirect
120. #16839989C22semidirect
121. #16839988C22semidirect
122. #16839987C22semidirect
123. #16839986C22semidirect
124. #16839985C22semidirect
125. #16839984C22semidirect
126. #16839983C22semidirect
127. #16839982C22semidirect
128. #16839981C22semidirect
129. #16839927C22semidirect
130. #16839926C22semidirect
131. #16839925C22semidirect
132. #16839924C22semidirect
133. #16839923C22semidirect
134. #16839922C22semidirect
135. #16839921C22semidirect
136. #16839915C22semidirect
137. #16839914C22semidirect
138. #16839914C22semidirect
139. #16839913C22semidirect
140. #16839912C22semidirect
141. #16839911C22semidirect
142. #16839911C22semidirect
143. #16839865C22semidirect
144. #16839864C22semidirect
145. #16839863C22semidirect
146. #16839862C22semidirect
147. #16839861C22semidirect
148. #16839860C22semidirect
149. #16839859C22semidirect
150. #16839836C22semidirect
151. #16839835C22semidirect
152. #16839834C22semidirect
153. #16839833C22semidirect
154. #16839832C22semidirect
155. #16839831C22semidirect
156. #16839830C22semidirect
157. #107×D61C22semidirect
158. #106×D61C22semidirect
159. #106×D61C22semidirect
160. C4⋊C8×D61C22semidirect
161. #16839768C22semidirect
162. #16839767C22semidirect
163. #16839766C22semidirect
164. #16839765C22semidirect
165. #16839765C22semidirect
166. #16839765C22semidirect
167. #16839765C22semidirect
168. #16839759C22semidirect
169. #16839758C22semidirect
170. #16839757C22semidirect
171. #16839757C22semidirect
172. #16839756C22semidirect
173. #16839755C22semidirect
174. #16839755C22semidirect
175. #103×D61C22semidirect
176. #103×D61C22semidirect
177. #103×D61C22semidirect
178. #103×D61C22semidirect
186. C22⋊C8×D61C22semidirect
187. #97×D61C22semidirect
188. C61×#556C22semidirect
190. C61×#489C22semidirect
191. C61×#485C22semidirect
192. C61×#482C22semidirect
193. C61×#476C22semidirect
194. C61×#470C22semidirect
195. C61×#465C22semidirect
196. C61×#464C22semidirect
197. C61×#452C22semidirect
198. C61×#450C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#418C22semidirect
202. C61×#416C22semidirect
231. C2×Dic244C23semidirect
232. C2×#11758202C23semidirect
233. C2×#11758202C23semidirect
247. C22×#92418C23semidirect
253. C2×C8×D61C23semidirect
254. C2×C8×D61C23semidirect
255. #14519777C23semidirect
257. #14519776C23semidirect
258. #14519776C23semidirect
295. #14519757C23semidirect
298. #14519756C23semidirect
307. #14519753C23semidirect
328. Q8×Dic61C23semidirect
333. C4×Dic122C23semidirect
338. #14519742C23semidirect
352. #14519736C23semidirect
355. #14519735C23semidirect
356. #14519735C23semidirect
393. #14519711C23semidirect
394. #14519710C23semidirect
395. #14519710C23semidirect
396. #14519709C23semidirect
397. #14519709C23semidirect
398. #14519708C23semidirect
399. #14519708C23semidirect
400. #14519708C23semidirect
401. #14519708C23semidirect
402. C4⋊#92418C23semidirect
403. #14519706C23semidirect
404. #14519706C23semidirect
405. #14519702C23semidirect
406. #14519702C23semidirect
407. #14519702C23semidirect
408. #14519702C23semidirect
409. #14519701C23semidirect
410. #14519701C23semidirect
411. #14519701C23semidirect
412. #14519701C23semidirect
413. #14519700C23semidirect
414. #14519700C23semidirect
415. #14519700C23semidirect
416. #14519700C23semidirect
436. C22⋊#92418C23semidirect
439. #14519689C23semidirect
440. #14519689C23semidirect
441. #14519688C23semidirect
442. #14519687C23semidirect
443. #14519687C23semidirect
446. C2×Q16×C61C23semidirect
450. C22×C8×C61C23semidirect
451. C4⋊Q8×C61C23semidirect
459. C22⋊Q8×C61C23semidirect
464. C4×Q8×C61C23semidirect
468. #117×C61C23semidirect
470. #107×C61C23semidirect
471. #106×C61C23semidirect
472. #106×C61C23semidirect
473. C4⋊C8×C61C23semidirect
474. #103×C61C23semidirect
475. #103×C61C23semidirect
476. #103×C61C23semidirect
477. #103×C61C23semidirect
485. C22⋊C8×C61C23semidirect
486. #97×C61C23semidirect
937. #3311D61direct (N × H)
962. D61#3311direct (N × H)
981. #556C2×D61semidirect
1020. #489C2×D61semidirect
1028. #485C2×D61semidirect
1036. #482C2×D61semidirect
1044. #476C2×D61semidirect
1052. #470C2×D61semidirect
1060. #465C2×D61semidirect
1068. #464C2×D61semidirect
1076. #452C2×D61semidirect
1084. #450C2×D61semidirect
1092. #440C2×D61semidirect
1100. #435C2×D61semidirect
1112. #418C2×D61semidirect
1120. #416C2×D61semidirect
1134. C61C2×#3311semidirect
1169. C2×Q16C22×D61semidirect
1193. C22×C8C22×D61semidirect
1199. C4⋊Q8C22×D61semidirect
1255. C22⋊Q8C22×D61semidirect
1291. C4×Q8C22×D61semidirect
1317. #117C22×D61semidirect
1354. #107C22×D61semidirect
1361. #106C22×D61semidirect
1362. #106C22×D61semidirect
1366. C4⋊C8C22×D61semidirect
1379. #103C22×D61semidirect
1380. #103C22×D61semidirect
1381. #103C22×D61semidirect
1382. #103C22×D61semidirect
1414. C22⋊C8C22×D61semidirect
1418. #97C22×D61semidirect

Maximal subgroups

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

subgroupindex
#556×D612
#546×D612
#214578622
#214578612
#214578602
#214578592
#214578582
#214578572
#214578562
#214578552
#214578542
#214578532
#214578522
#214578512
#214578502
#214578492
#214578482
#489×D612
#485×D612
#482×D612
#476×D612
#470×D612
#465×D612
#464×D612
#452×D612
#450×D612
#440×D612
#435×D612
#418×D612
#416×D612
C61×#33112
C2×#331161