Finite Group Databasebeta

← D61×#3296 #30556356

Subgroups — D61×#3296 #30556356

Order 15616.

2286 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#552×D61C211yesmaximal, characteristic, complemented
2#546×D61C211yesmaximal, characteristic
3#21457661C211yesmaximal, characteristic, complemented
4#21457660C211yesmaximal, characteristic, complemented
5#21457659C211yesmaximal, characteristic, complemented
6#21457658C211yesmaximal, characteristic, complemented
7#21457657C211yesmaximal, characteristic, complemented
8#21457656C211yesmaximal, characteristic, complemented
9#21457655C211yesmaximal, characteristic, complemented
10#21457654C211yesmaximal, characteristic, complemented
11#21457653C211yesmaximal, characteristic, complemented
12#21457652C211yesmaximal, characteristic, complemented
13#21457651C211yesmaximal, characteristic, complemented
14#21457650C211yesmaximal, characteristic, complemented
15#21457649C211yesmaximal, characteristic, complemented
16#21457648C211yesmaximal, characteristic, complemented
17#21457647C211yesmaximal, characteristic, complemented
18#488×D61C211yesmaximal, characteristic, complemented
19#482×D61C211yesmaximal, characteristic, complemented
20#483×D61C211yesmaximal, characteristic, complemented
21#478×D61C211yesmaximal, characteristic, complemented
22#467×D61C211yesmaximal, characteristic, complemented
23#465×D61C211yesmaximal, characteristic, complemented
24#464×D61C211yesmaximal, characteristic, complemented
25#452×D61C211yesmaximal, characteristic, complemented
26#450×D61C211yesmaximal, characteristic, complemented
27C4×SD16×D61C211yesmaximal, characteristic, complemented
28C8×D4×D61C211yesmaximal, characteristic, complemented
29#416×D61C211yesmaximal, characteristic, complemented
30C2×#102×D61C211yesmaximal, characteristic, complemented
31C61×#3296C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C2×Q16×D61C2211yescharacteristic, complemented
35C2×SD16×D61C2211yescharacteristic
36C2×SD16×D61C2211yescharacteristic
37C22×C8×D61C2211yescharacteristic
38C22×C8×D61C2211yescharacteristic, complemented
39#16840454C2211yescharacteristic, complemented
40#16840453C2211yescharacteristic, complemented
41#16840452C2211yescharacteristic, complemented
42#16840451C2211yescharacteristic, complemented
43#16840450C2211yescharacteristic, complemented
44#16840449—21no—
45#16840448—21no—
46#16840447C2211yescharacteristic, complemented
47#16840446C2211yescharacteristic, complemented
48#16840445—21no—
49#16840444—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—
61#126×D61—21no—
62#125×D61—21no—
63#125×D61C2211yescharacteristic, complemented
64#124×D61C2211yescharacteristic
65#123×D61—21no—
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×D61C2211yescharacteristic, complemented
74C4×D4×D61C2211yescharacteristic
75C4×D4×D61C2211yescharacteristic
76#117×D61—21no—
77#117×D61C2211yescharacteristic, complemented
78C2×C4⋊C4×D61C2211yescharacteristic
79C2×C22⋊C4×D61—21no—
80#16840119C2211yescharacteristic, complemented
81#16840118C2211yescharacteristic, complemented
82#16840118C2211yescharacteristic, complemented
83#16840117C2211yescharacteristic, complemented
84#16840116C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840115C2211yescharacteristic, complemented
87#16840094C2211yescharacteristic, complemented
88#16840094C2211yescharacteristic, complemented
89#16840093C2211yescharacteristic, complemented
90#16840092C2211yescharacteristic, complemented
91#16840091C2211yescharacteristic, complemented
92#16840091C2211yescharacteristic, complemented
93#16840090C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840088C2211yescharacteristic, complemented
96#16840087C2211yescharacteristic, complemented
97#16840086C2211yescharacteristic, complemented
98#16840085C2211yescharacteristic, complemented
99#16840084C2211yescharacteristic, complemented
100#16840083C2211yescharacteristic, complemented
101#16840065C2211yescharacteristic, complemented
102#16840064C2211yescharacteristic, complemented
103#16840063C2211yescharacteristic, complemented
104#16840062C2211yescharacteristic, complemented
105#16840061C2211yescharacteristic, complemented
106#16840060C2211yescharacteristic, complemented
107#16840059C2211yescharacteristic, complemented
108#16840004C2211yescharacteristic, complemented
109#16840003C2211yescharacteristic, complemented
110#16840002C2211yescharacteristic, complemented
111#16840002C2211yescharacteristic, complemented
112#16840001C2211yescharacteristic, complemented
113#16840001C2211yescharacteristic, complemented
114#16840000C2211yescharacteristic, 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#16839853C2211yescharacteristic, complemented
144C4×#11758190C2211yescharacteristic, complemented
145SD16×Dic61C2211yescharacteristic, complemented
146C4×#11758201C2211yescharacteristic, complemented
147#16839849C2211yescharacteristic, complemented
148C4×#11758200C2211yescharacteristic, complemented
149#16839847C2211yescharacteristic, complemented
150C8×D244C2211yescharacteristic, complemented
151D4×#92418C2211yescharacteristic, complemented
152#16839827C2211yescharacteristic, complemented
153C8×C22⋊D61C2211yescharacteristic, complemented
154C8×C22⋊D61C2211yescharacteristic, complemented
155#16839825C2211yescharacteristic, complemented
156#16839825C2211yescharacteristic, complemented
157#107×D61C2211yescharacteristic, complemented
158#106×D61C2211yescharacteristic, complemented
159#106×D61C2211yescharacteristic, complemented
160C4⋊C8×D61C2211yescharacteristic, complemented
161#16839759C2211yescharacteristic, complemented
162#16839758C2211yescharacteristic, complemented
163#16839757C2211yescharacteristic, complemented
164#16839757C2211yescharacteristic, complemented
165#16839756C2211yescharacteristic, complemented
166#16839755C2211yescharacteristic, complemented
167#16839755C2211yescharacteristic, complemented
168#103×D61C2211yescharacteristic, complemented
169#103×D61C2211yescharacteristic, complemented
170#103×D61C2211yescharacteristic, complemented
171#103×D61C2211yescharacteristic, complemented
172C2×#14519699C2211yescharacteristic, complemented
173C2×#14519698C2211yescharacteristic, complemented
174C2×#14519697C2211yescharacteristic, complemented
175#102×D61C2211yescharacteristic
176#102×D61C2211yescharacteristic
177#102×D61C2211yescharacteristic
178#102×D61C2211yescharacteristic
179#102×D61C2211yescharacteristic
180#102×D61C2211yescharacteristic
181#102×D61C2211yescharacteristic, complemented
182#102×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic, complemented
185C22⋊C8×D61C2211yescharacteristic
186C22⋊C8×D61C2211yescharacteristic, complemented
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#552C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#488C2211yescharacteristic, complemented
191C61×#483C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#467C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#450C2211yescharacteristic, complemented
199C4×SD16×C61C2211yescharacteristic, complemented
200C8×D4×C61C2211yescharacteristic, complemented
201C61×#416C2211yescharacteristic, complemented
202C2×#102×C61C2211yescharacteristic, 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×D61C2311yescharacteristic
212C2×Q8×D61C2311yescharacteristic
213C22×D244C2311yescharacteristic
214C22×C22⋊D61—21no—
215C2×D4×D61—24no—
216C2×D4×D61—21no—
217C2×D4×D61—21no—
218C2×D4×D61—21no—
219C2×D4×D61—21no—
220C2×D4×D61—42no—
221C2×D4×D61D411yescharacteristic
222C2×D4×D61C2311yescharacteristic
223C2×D4×D61C2311yescharacteristic
224C2×D4×D61C2311yescharacteristic
225C2×D4×D61C2311yescharacteristic
226C22×C4×D61—21no—
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—
243C22×#92418C2311yescharacteristic
244C22×#92418C2311yescharacteristic, complemented
245C2×C8×D61—42no—
246C2×C8×D61—42no—
247C2×C8×D61C2311yescharacteristic
248C2×C8×D61C2311yescharacteristic
249C2×C8×D61C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic, complemented
254C2×C8×D61C2311yescharacteristic, complemented
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519771—21no—
259#14519770—21no—
260#14519770—21no—
261#14519770—21no—
262#14519769—21no—
263#14519769C2311yescharacteristic, complemented
264#14519768—21no—
265#14519768—21no—
266#14519768C2311yescharacteristic, complemented
267#14519768C2311yescharacteristic, complemented
268#14519767—21no—
269#14519767—21no—
270#14519767—21no—
271#14519767—21no—
272#14519767—21no—
273#14519767—21no—
274#14519766C2311yescharacteristic
275#14519765C2311yescharacteristic
276#14519764C2311yescharacteristic
277#14519763—21no—
278#14519763—21no—
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519761—21no—
284#14519761—21no—
285#14519760—21no—
286#14519760—21no—
287#14519759—21no—
288#14519759—21no—
289#14519759—21no—
290#14519759—21no—
291#14519758—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×Dic61C2311yescharacteristic, complemented
328C4×Dic122—21no—
329C4×Dic122C2311yescharacteristic, complemented
330#14519742—21no—
331#14519742C2311yescharacteristic, complemented
332C4×D244C2311yescharacteristic
333C4×D244C2311yescharacteristic
334D4×Dic61D411yescharacteristic
335D4×Dic61C2311yescharacteristic
336#14519739D411yescharacteristic
337#14519739C2311yescharacteristic
338C4×C22⋊D61—21no—
339C4×C22⋊D61C2311yescharacteristic
340C4×C22⋊D61C2311yescharacteristic
341#14519737—21no—
342#14519737D411yescharacteristic
343#14519737D411yescharacteristic
344#14519736—21no—
345#14519736C2311yescharacteristic, complemented
346#14519735—21no—
347#14519735—21no—
348#14519735C2311yescharacteristic, complemented
349#14519735C2311yescharacteristic, complemented
350#14519734—21no—
351#14519734—21no—
352#14519734—21no—
353#14519733—21no—
354#14519733—21no—
355#14519733—21no—
356C2×C4⋊Dic61C2311yescharacteristic
357C2×#11758196—21no—
358C4⋊C4×D61—21no—
359C4⋊C4×D61—21no—
360C4⋊C4×D61—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
371C4⋊C4×D61C2311yescharacteristic
372C4⋊C4×D61C2311yescharacteristic
373C2×C22⋊Dic61—21no—
374C2×#11758198—21no—
375C2×#11758198—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×D61—21no—
388C22⋊C4×D61D411yescharacteristic
389C22⋊C4×D61D411yescharacteristic
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
441C4×#92418C2311yescharacteristic, complemented
442C8×Dic61C2311yescharacteristic, complemented
443C8×Dic61C2311yescharacteristic, complemented
444C2×#41×C61C2311yescharacteristic
445C22×D4×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic, complemented
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C22×C8×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic, complemented
451#126×C61—21no—
452#125×C61—21no—
453#125×C61C2311yescharacteristic, complemented
454#124×C61C2311yescharacteristic
455#123×C61—21no—
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×C61C2311yescharacteristic, complemented
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466#117×C61—21no—
467#117×C61C2311yescharacteristic, complemented
468C2×C4⋊C4×C61C2311yescharacteristic
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
486C4×C8×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×C61C2411yescharacteristic
501C2×Q8×C61C2411yescharacteristic
502C2×D4×C61—22no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—41no—
507C2×D4×C61C2×D411yescharacteristic
508C2×D4×C61C2411yescharacteristic
509C2×D4×C61C2411yescharacteristic
510C22×C4×C61—21no—
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×Dic61—21no—
529C22×Dic61C2×D411yescharacteristic
530C22×Dic61C2×D411yescharacteristic
531#11758226—22no—
532#11758226—41no—
533Q8×D61—22no—
534Q8×D61—22no—
535Q8×D61—22no—
536Q8×D61—22no—
537#11758224—22no—
538#11758224—41no—
539#11758224—44no—
540D4×D61—24no—
541D4×D61—22no—
542D4×D61—22no—
543D4×D61—22no—
544D4×D61—22no—
545D4×D61—22no—
546D4×D61—41no—
547D4×D61—41no—
548D4×D61—44no—
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—21no—
579C2×C4×D61—21no—
580C2×C4×D61—44no—
581C2×C4×D61—44no—
582C2×C4×D61—82no—
583C2×C4×D61C2×D411yescharacteristic
584C2×C4×D61C2×D411yescharacteristic
585C2×C4×D61C2×D411yescharacteristic
586C2×C4×D61C2×D411yescharacteristic
587C2×C4×D61C2×D411yescharacteristic
588C2×C4×D61C2×D411yescharacteristic
589C2×C4×D61C2411yescharacteristic
590C2×C4×D61C2411yescharacteristic
591C2×C4×D61C2411yescharacteristic
592C2×Dic122—21no—
593C2×Dic122—21no—
594C2×Dic122C2411yescharacteristic
595C2×Dic122C2411yescharacteristic
596Q16×C61—41no—
597SD16×C61—22no—
598SD16×C61—41no—
599C2×C8×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×C61—21no—
611C4⋊C4×C61—21no—
612C4⋊C4×C61C2×D411yescharacteristic
613C4⋊C4×C61C2411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C4⋊C4×C61C2411yescharacteristic
616C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
625C22⋊C4×C61C2×D411yescharacteristic
626C22⋊C4×C61C2×D411yescharacteristic
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⋊Dic61C2×D411yescharacteristic
639C22⋊Dic61C2×D411yescharacteristic
640#11758202—41no—
641#11758202—41no—
642#11758201—22no—
643#11758201—41no—
644#11758200—22no—
645#11758200—41no—
646#11758198—21no—
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#11758198C2×D411yescharacteristic
663#11758198C2×D411yescharacteristic
664#11758198C2×D411yescharacteristic
665#11758198C2×D411yescharacteristic
666C4⋊Dic61—21no—
667C4⋊Dic61—21no—
668C4⋊Dic61—21no—
669C4⋊Dic61—21no—
670C4⋊Dic61—21no—
671C4⋊Dic61—21no—
672C4⋊Dic61—21no—
673C4⋊Dic61C2×D411yescharacteristic
674C4⋊Dic61C2411yescharacteristic
675C4⋊Dic61C2411yescharacteristic
676C4⋊Dic61C2411yescharacteristic
677C4⋊Dic61C2411yescharacteristic
678#11758196—21no—
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#11758196—21no—
694#11758196—21no—
695#11758196—21no—
696#11758196C2×D411yescharacteristic
697#11758196C2×D411yescharacteristic
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
707C2×#92418—41no—
708C2×#92418—41no—
709C2×#92418C2411yescharacteristic
710C2×#92418C2411yescharacteristic
711C2×#92418C2411yescharacteristic
712C2×#92418C2411yescharacteristic
713Dic244—41no—
714#11758190—22no—
715#11758190—41no—
716C8×D61—22no—
717C8×D61—22no—
718C8×D61—22no—
719C8×D61—22no—
720C8×D61—41no—
721C8×D61—41no—
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—22no—
732C22×D61—22no—
733C22×D61—21no—
734C22×D61—22no—
735C22×D61—24no—
736C22×D61—22no—
737C22×D61—22no—
738C22×D61—21no—
739C22×D61—42no—
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—81no—
751C22×D61—81no—
752C22×D61—816no—
753C22×D61—81no—
754C22×D61#13514yes—
755C22×D61C22×D411yescharacteristic
756C22×D61C22×D411yescharacteristic
757C22×D61C22×D411yescharacteristic
758Q8×C61—21no—
759Q8×C61—21no—
760Q8×C61—21no—
761Q8×C61—21no—
762D4×C61—22no—
763D4×C61—21no—
764D4×C61—21no—
765D4×C61—21no—
766D4×C61—42no—
767D4×C61—42no—
768D4×C61—81no—
769D4×C61C2×#4112yes—
770C2×C4×C61—21no—
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—42no—
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—22no—
789C22⋊D61—22no—
790C22⋊D61—24no—
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—42no—
808C2×Dic61—81no—
809C2×Dic61C22×D411yescharacteristic
810C2×Dic61C22×D411yescharacteristic
811C2×Dic61C22×D411yescharacteristic
812C2×Dic61C22×D411yescharacteristic
813C2×Dic61C22×D411yescharacteristic
814D244—22no—
815D244—21no—
816D244—21no—
817D244—21no—
818D244—42no—
819D244—42no—
820D244—81no—
821D244C2×#4112yes—
822C4×D61—22no—
823C4×D61—22no—
824C4×D61—22no—
825C4×D61—22no—
826C4×D61—21no—
827C4×D61—21no—
828C4×D61—21no—
829C4×D61—21no—
830C4×D61—22no—
831C4×D61—22no—
832C4×D61—42no—
833C4×D61—42no—
834C4×D61—42no—
835C4×D61—42no—
836C4×D61—42no—
837C4×D61—42no—
838C4×D61—42no—
839C4×D61—42no—
840C4×D61—42no—
841C4×D61—42no—
842C4×D61—81no—
843C4×D61—81no—
844C4×D61C2×#4112yes—
845C4×D61H(5,𝔽2)12yes—
846Dic122—21no—
847Dic122—21no—
848Dic122—21no—
849Dic122—21no—
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×#3296—611nomaximal, Sylow
861C22×C61—21no—
862C22×C61—21no—
863C22×C61—21no—
864C22×C61—22no—
865C22×C61—21no—
866C22×C61—21no—
867C22×C61—41no—
868C22×C61—41no—
869C22×C61—41no—
870C22×C61—41no—
871C22×C61—41no—
872C22×C61—84no—
873C22×C61C2×#13512yes—
874C22×C61C23×D411yescharacteristic
875C2×D61—21no—
876C2×D61—21no—
877C2×D61—28no—
878C2×D61—21no—
879C2×D61—22no—
880C2×D61—21no—
881C2×D61—21no—
882C2×D61—41no—
883C2×D61—41no—
884C2×D61—44no—
885C2×D61—48no—
886C2×D61—41no—
887C2×D61—41no—
888C2×D61—41no—
889C2×D61—84no—
890C2×D61—84no—
891C2×D61—84no—
892C2×D61—84no—
893C2×D61#54612yes—
894C2×D61C2×#13512yes—
895C2×D61C2×#13512yes—
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×#552—611no—
921C2×#546—611no—
922#3296—611no—
923#3296—611no—
924#3296—611no—
925#3296—611no—
926#3296—611no—
927#3296—611no—
928#3296—611no—
929#3296—611no—
930#3296—611no—
931#3296—611no—
932#3296—611no—
933#3296—611no—
934#3296—611no—
935#3296—611no—
936#3296—611no—
937#3296D6111yescharacteristic, direct product factor
938C2×#488—611no—
939C2×#482—611no—
940C2×#483—611no—
941C2×#478—611no—
942C2×#467—611no—
943C2×#465—611no—
944C2×#464—611no—
945C2×#452—611no—
946C2×#450—611no—
947C2×C4×SD16—611no—
948C2×C8×D4—611no—
949C2×#416—611no—
950C22×#102—611no—
951C2×C61—22no—
952C2×C61—42no—
953C2×C61—41no—
954C2×C61—81no—
955C2×C61C2×#54611yescharacteristic
956C2×C61C22×#13511yescharacteristic
957C2×C61C2×#57711yescharacteristic
958D61—22no—
959D61—41no—
960D61—42no—
961D61—81no—
962D61#329614yesdirect product factor
963C22×#41—611no—
964C23×D4—611no—
965C22×Q16—611no—
966C22×SD16—611no—
967C22×SD16—611no—
968C23×C8—611no—
969C23×C8—611no—
970#552—611no—
971#552—611no—
972#552—611no—
973#552—611no—
974#552—611no—
975#552—611no—
976#552—611no—
977#552—1221no—
978#552—1221no—
979#552—1221no—
980#552—1221no—
981#552C2×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×#126—1221no—
995C2×#125—611no—
996C2×#125—1221no—
997C2×#124—611no—
998C2×#123—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×D4—611no—
1008C2×C4×D4—611no—
1009C2×#117—611no—
1010C2×#117—1221no—
1011C22×C4⋊C4—611no—
1012C22×C22⋊C4—1221no—
1013#488—611no—
1014#488—611no—
1015#488—611no—
1016#488—611no—
1017#488—611no—
1018#488—611no—
1019#488—611no—
1020#488C2×D6111yescharacteristic, complemented
1021#483—611no—
1022#483—611no—
1023#483—611no—
1024#483—611no—
1025#483—611no—
1026#483—611no—
1027#483—611no—
1028#483C2×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#478—611no—
1038#478—611no—
1039#478—611no—
1040#478—611no—
1041#478—611no—
1042#478—611no—
1043#478—611no—
1044#478C2×D6111yescharacteristic, complemented
1045#467—611no—
1046#467—611no—
1047#467—611no—
1048#467—611no—
1049#467—611no—
1050#467—611no—
1051#467—611no—
1052#467C2×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
1085C4×SD16—611no—
1086C4×SD16—611no—
1087C4×SD16—611no—
1088C4×SD16—611no—
1089C4×SD16—611no—
1090C4×SD16—611no—
1091C4×SD16—611no—
1092C4×SD16C2×D6111yescharacteristic, complemented
1093C8×D4—611no—
1094C8×D4—611no—
1095C8×D4—611no—
1096C8×D4—611no—
1097C8×D4—611no—
1098C8×D4—611no—
1099C8×D4—611no—
1100C8×D4C2×D6111yescharacteristic, complemented
1101C2×#107—611no—
1102C2×#106—611no—
1103C2×#106—611no—
1104C2×C4⋊C8—611no—
1105#416—611no—
1106#416—611no—
1107#416—611no—
1108#416—611no—
1109#416—611no—
1110#416—611no—
1111#416—611no—
1112#416C2×D6111yescharacteristic, complemented
1113C2×#103—611no—
1114C2×#103—611no—
1115C2×#103—611no—
1116C2×#103—611no—
1117C2×#102—611no—
1118C2×#102—611no—
1119C2×#102—611no—
1120C2×#102—611no—
1121C2×#102—611no—
1122C2×#102—611no—
1123C2×#102—611no—
1124C2×#102—611no—
1125C2×#102—611no—
1126C2×#102—611no—
1127C2×#102—611no—
1128C2×#102—611no—
1129C2×#102—611no—
1130C2×#102C2×D6111yescharacteristic, complemented
1131C2×C22⋊C8—611no—
1132C2×C22⋊C8—611no—
1133C2×C4×C8—611no—
1134C61C2×#329611yescharacteristic, 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×D4—611no—
1147C22×D4—611no—
1148C22×D4—611no—
1149C22×D4—611no—
1150C22×D4—611no—
1151C22×D4—611no—
1152C22×D4—1221no—
1153C22×D4—1221no—
1154C22×D4—1221no—
1155C22×D4—1224no—
1156C22×D4—1221no—
1157C22×D4—1221no—
1158C22×D4—2442no—
1159C22×D4C22×D6111yescharacteristic
1160C23×C4—611no—
1161C23×C4—611no—
1162C23×C4—1221no—
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
1180C22×C8—611no—
1181C22×C8—611no—
1182C22×C8—611no—
1183C22×C8—611no—
1184C22×C8—611no—
1185C22×C8—611no—
1186C22×C8—611no—
1187C22×C8—611no—
1188C22×C8—611no—
1189C22×C8—611no—
1190C22×C8—2442no—
1191C22×C8—2442no—
1192C22×C8C22×D6111yescharacteristic
1193C22×C8C22×D6111yescharacteristic, complemented
1194#126—21no—
1195#126—1221no—
1196#126—1221no—
1197#126—1221no—
1198#126—1221no—
1199#126—1221no—
1200#126—1221no—
1201#126—1221no—
1202#125—21no—
1203#125—611no—
1204#125—611no—
1205#125—611no—
1206#125—1221no—
1207#125—1221no—
1208#125—1221no—
1209#125—1221no—
1210#125—1221no—
1211#125—1221no—
1212#125—1221no—
1213#125—1221no—
1214#125—1221no—
1215#125C22×D6111yescharacteristic, complemented
1216#124—611no—
1217#124—611no—
1218#124—611no—
1219#124—1221no—
1220#124—1221no—
1221#124C22×D6111yescharacteristic
1222#123—21no—
1223#123—21no—
1224#123—1221no—
1225#123—1221no—
1226#123—1221no—
1227#123—1221no—
1228#123—1221no—
1229#123—1221no—
1230#123—1221no—
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—611no—
1279C4×Q8—611no—
1280C4×Q8—611no—
1281C4×Q8—1221no—
1282C4×Q8—1221no—
1283C4×Q8C22×D6111yescharacteristic, complemented
1284C4×D4—611no—
1285C4×D4—611no—
1286C4×D4—611no—
1287C4×D4—611no—
1288C4×D4—611no—
1289C4×D4—611no—
1290C4×D4—611no—
1291C4×D4—611no—
1292C4×D4—611no—
1293C4×D4—611no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4C22×D6111yescharacteristic
1297C4×D4C22×D6111yescharacteristic
1298#117—21no—
1299#117—611no—
1300#117—611no—
1301#117—611no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117—1221no—
1306#117—1221no—
1307#117—1221no—
1308#117—1221no—
1309#117—1221no—
1310#117—1221no—
1311#117C22×D6111yescharacteristic, complemented
1312C2×C4⋊C4—611no—
1313C2×C4⋊C4—611no—
1314C2×C4⋊C4—611no—
1315C2×C4⋊C4—611no—
1316C2×C4⋊C4—611no—
1317C2×C4⋊C4—611no—
1318C2×C4⋊C4—611no—
1319C2×C4⋊C4—611no—
1320C2×C4⋊C4—1221no—
1321C2×C4⋊C4—1221no—
1322C2×C4⋊C4—1221no—
1323C2×C4⋊C4—1221no—
1324C2×C4⋊C4—1221no—
1325C2×C4⋊C4—1221no—
1326C2×C4⋊C4—1221no—
1327C2×C4⋊C4—1221no—
1328C2×C4⋊C4—1221no—
1329C2×C4⋊C4C22×D6111yescharacteristic
1330C2×C22⋊C4—21no—
1331C2×C22⋊C4—611no—
1332C2×C22⋊C4—611no—
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×C22⋊C4—1221no—
1348C2×C42—611no—
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
1415C4×C8—611no—
1416C4×C8—611no—
1417C4×C8—611no—
1418C4×C8C22×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—611no—
1441C2×Q8—611no—
1442C2×Q8—1221no—
1443C2×Q8—1221no—
1444C2×Q8—1222no—
1445C2×Q8—1222no—
1446C2×Q8—1222no—
1447C2×Q8—1222no—
1448C2×Q8C23×D6111yescharacteristic
1449C2×Q8C23×D6111yescharacteristic
1450C2×D4—22no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—41no—
1455C2×D4—614no—
1456C2×D4—611no—
1457C2×D4—611no—
1458C2×D4—611no—
1459C2×D4—611no—
1460C2×D4—611no—
1461C2×D4—1222no—
1462C2×D4—1221no—
1463C2×D4—1221no—
1464C2×D4—1222no—
1465C2×D4—1222no—
1466C2×D4—1222no—
1467C2×D4—1221no—
1468C2×D4—1221no—
1469C2×D4—1221no—
1470C2×D4—1221no—
1471C2×D4—1222no—
1472C2×D4—1224no—
1473C2×D4—1222no—
1474C2×D4—1221no—
1475C2×D4—1221no—
1476C2×D4—1221no—
1477C2×D4—1221no—
1478C2×D4—1221no—
1479C2×D4—4882no—
1480C2×D4—2441no—
1481C2×D4—2441no—
1482C2×D4—2441no—
1483C2×D4—2444no—
1484C2×D4—2444no—
1485C2×D4—2444no—
1486C2×D4—2444no—
1487C2×D4D4×D6111yescharacteristic
1488C2×D4C23×D6111yescharacteristic
1489C2×D4C23×D6111yescharacteristic
1490C22×C4—21no—
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—611no—
1494C22×C4—611no—
1495C22×C4—611no—
1496C22×C4—611no—
1497C22×C4—611no—
1498C22×C4—611no—
1499C22×C4—611no—
1500C22×C4—611no—
1501C22×C4—611no—
1502C22×C4—611no—
1503C22×C4—611no—
1504C22×C4—1222no—
1505C22×C4—1222no—
1506C22×C4—1222no—
1507C22×C4—1222no—
1508C22×C4—1221no—
1509C22×C4—1221no—
1510C22×C4—1221no—
1511C22×C4—1221no—
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—4882no—
1524C22×C4—2444no—
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—
1540C2×C8—41no—
1541C2×C8—41no—
1542C2×C8—611no—
1543C2×C8—611no—
1544C2×C8—611no—
1545C2×C8—611no—
1546C2×C8—1222no—
1547C2×C8—1222no—
1548C2×C8—1222no—
1549C2×C8—1222no—
1550C2×C8—2441no—
1551C2×C8—2441no—
1552C2×C8—2441no—
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—21no—
1566C4⋊C4—21no—
1567C4⋊C4—611no—
1568C4⋊C4—611no—
1569C4⋊C4—611no—
1570C4⋊C4—611no—
1571C4⋊C4—611no—
1572C4⋊C4—611no—
1573C4⋊C4—611no—
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⋊C4—1221no—
1592C4⋊C4—1221no—
1593C4⋊C4—1221no—
1594C4⋊C4—1221no—
1595C4⋊C4—1221no—
1596C4⋊C4—1221no—
1597C4⋊C4—1221no—
1598C4⋊C4—1221no—
1599C4⋊C4D4×D6111yescharacteristic
1600C4⋊C4C23×D6111yescharacteristic
1601C4⋊C4C23×D6111yescharacteristic
1602C4⋊C4C23×D6111yescharacteristic
1603C4⋊C4C23×D6111yescharacteristic
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—611no—
1613C22⋊C4—611no—
1614C22⋊C4—611no—
1615C22⋊C4—611no—
1616C22⋊C4—611no—
1617C22⋊C4—611no—
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⋊C4—1221no—
1639C22⋊C4—1221no—
1640C22⋊C4—1221no—
1641C22⋊C4—1221no—
1642C22⋊C4D4×D6111yescharacteristic
1643C22⋊C4D4×D6111yescharacteristic
1644C42—21no—
1645C42—21no—
1646C42—611no—
1647C42—611no—
1648C42—611no—
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—614no—
1663C23—611no—
1664C23—611no—
1665C23—1222no—
1666C23—1222no—
1667C23—1222no—
1668C23—1224no—
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—1221no—
1695Q8—1221no—
1696Q8—1221no—
1697Q8—1221no—
1698Q8—2442no—
1699Q8—2442no—
1700D4—22no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—42no—
1705D4—42no—
1706D4—81no—
1707D4—612no—
1708D4—1222no—
1709D4—1224no—
1710D4—1222no—
1711D4—1222no—
1712D4—1221no—
1713D4—1221no—
1714D4—1221no—
1715D4—4881no—
1716D4—4881no—
1717D4—4881no—
1718D4—2442no—
1719D4—2442no—
1720D4—2442no—
1721D4—2442no—
1722D4—2442no—
1723D4—2442no—
1724D4—2442no—
1725D4#41×D6112yes—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—42no—
1737C2×C4—42no—
1738C2×C4—81no—
1739C2×C4—611no—
1740C2×C4—612no—
1741C2×C4—612no—
1742C2×C4—611no—
1743C2×C4—611no—
1744C2×C4—611no—
1745C2×C4—611no—
1746C2×C4—1222no—
1747C2×C4—1222no—
1748C2×C4—1222no—
1749C2×C4—1222no—
1750C2×C4—1222no—
1751C2×C4—1222no—
1752C2×C4—1222no—
1753C2×C4—1222no—
1754C2×C4—1221no—
1755C2×C4—1221no—
1756C2×C4—1221no—
1757C2×C4—1221no—
1758C2×C4—1221no—
1759C2×C4—1221no—
1760C2×C4—1221no—
1761C2×C4—1221no—
1762C2×C4—1221no—
1763C2×C4—1221no—
1764C2×C4—4881no—
1765C2×C4—4881no—
1766C2×C4—4881no—
1767C2×C4—2442no—
1768C2×C4—2442no—
1769C2×C4—2442no—
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—21no—
1795C22—22no—
1796C22—21no—
1797C22—21no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—84no—
1804C22—612no—
1805C22—612no—
1806C22—612no—
1807C22—612no—
1808C22—1228no—
1809C22—1221no—
1810C22—1221no—
1811C22—1221no—
1812C22—1222no—
1813C22—1221no—
1814C22—1221no—
1815C22—4884no—
1816C22—4884no—
1817C22—4884no—
1818C22—4884no—
1819C22—2444no—
1820C22—2448no—
1821C22—2441no—
1822C22—2441no—
1823C22—2441no—
1824C22—2441no—
1825C22—2441no—
1826C22#135×D6112yes—
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—22no—
1852C2—41no—
1853C2—42no—
1854C2—81no—
1855C2—614no—
1856C2—1222no—
1857C2—4881no—
1858C2—2441no—
1859C2—2442no—
1860C2#546×D6111yescharacteristic
1861C2C2×#135×D6111yescharacteristic
1862C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3296C2
socleC22×C61C23×D4
prime radical#546×D61C2
hypercenter#3296D61
hypocenterC61C2×#3296
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #552×D61C2semidirect
3. #21457661C2semidirect
4. #21457660C2semidirect
5. #21457659C2semidirect
6. #21457658C2semidirect
7. #21457657C2semidirect
8. #21457656C2semidirect
9. #21457655C2semidirect
10. #21457654C2semidirect
11. #21457653C2semidirect
12. #21457652C2semidirect
13. #21457651C2semidirect
14. #21457650C2semidirect
15. #21457649C2semidirect
16. #21457648C2semidirect
17. #21457647C2semidirect
18. #488×D61C2semidirect
19. #482×D61C2semidirect
20. #483×D61C2semidirect
21. #478×D61C2semidirect
22. #467×D61C2semidirect
23. #465×D61C2semidirect
24. #464×D61C2semidirect
25. #452×D61C2semidirect
26. #450×D61C2semidirect
27. C4×SD16×D61C2semidirect
28. C8×D4×D61C2semidirect
29. #416×D61C2semidirect
30. C2×#102×D61C2semidirect
31. C61×#3296C2semidirect
34. C2×Q16×D61C22semidirect
38. C22×C8×D61C22semidirect
39. #16840454C22semidirect
40. #16840453C22semidirect
41. #16840452C22semidirect
42. #16840451C22semidirect
43. #16840450C22semidirect
46. #16840447C22semidirect
47. #16840446C22semidirect
63. #125×D61C22semidirect
69. C22⋊Q8×D61C22semidirect
73. C4×Q8×D61C22semidirect
77. #117×D61C22semidirect
80. #16840119C22semidirect
81. #16840118C22semidirect
82. #16840118C22semidirect
83. #16840117C22semidirect
84. #16840116C22semidirect
85. #16840115C22semidirect
86. #16840115C22semidirect
87. #16840094C22semidirect
88. #16840094C22semidirect
89. #16840093C22semidirect
90. #16840092C22semidirect
91. #16840091C22semidirect
92. #16840091C22semidirect
93. #16840090C22semidirect
94. #16840089C22semidirect
95. #16840088C22semidirect
96. #16840087C22semidirect
97. #16840086C22semidirect
98. #16840085C22semidirect
99. #16840084C22semidirect
100. #16840083C22semidirect
101. #16840065C22semidirect
102. #16840064C22semidirect
103. #16840063C22semidirect
104. #16840062C22semidirect
105. #16840061C22semidirect
106. #16840060C22semidirect
107. #16840059C22semidirect
108. #16840004C22semidirect
109. #16840003C22semidirect
110. #16840002C22semidirect
111. #16840002C22semidirect
112. #16840001C22semidirect
113. #16840001C22semidirect
114. #16840000C22semidirect
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. #16839853C22semidirect
144. C4×#11758190C22semidirect
145. SD16×Dic61C22semidirect
146. C4×#11758201C22semidirect
147. #16839849C22semidirect
148. C4×#11758200C22semidirect
149. #16839847C22semidirect
150. C8×D244C22semidirect
151. D4×#92418C22semidirect
152. #16839827C22semidirect
153. C8×C22⋊D61C22semidirect
154. C8×C22⋊D61C22semidirect
155. #16839825C22semidirect
156. #16839825C22semidirect
157. #107×D61C22semidirect
158. #106×D61C22semidirect
159. #106×D61C22semidirect
160. C4⋊C8×D61C22semidirect
161. #16839759C22semidirect
162. #16839758C22semidirect
163. #16839757C22semidirect
164. #16839757C22semidirect
165. #16839756C22semidirect
166. #16839755C22semidirect
167. #16839755C22semidirect
168. #103×D61C22semidirect
169. #103×D61C22semidirect
170. #103×D61C22semidirect
171. #103×D61C22semidirect
172. C2×#14519699C22semidirect
173. C2×#14519698C22semidirect
174. C2×#14519697C22semidirect
181. #102×D61C22semidirect
182. #102×D61C22semidirect
183. #102×D61C22semidirect
184. #102×D61C22semidirect
186. C22⋊C8×D61C22semidirect
187. C4×C8×D61C22semidirect
188. C61×#552C22semidirect
190. C61×#488C22semidirect
191. C61×#483C22semidirect
192. C61×#482C22semidirect
193. C61×#478C22semidirect
194. C61×#467C22semidirect
195. C61×#465C22semidirect
196. C61×#464C22semidirect
197. C61×#452C22semidirect
198. C61×#450C22semidirect
199. C4×SD16×C61C22semidirect
200. C8×D4×C61C22semidirect
201. C61×#416C22semidirect
202. C2×#102×C61C22semidirect
231. C2×Dic244C23semidirect
232. C2×#11758202C23semidirect
233. C2×#11758202C23semidirect
244. C22×#92418C23semidirect
253. C2×C8×D61C23semidirect
254. C2×C8×D61C23semidirect
263. #14519769C23semidirect
266. #14519768C23semidirect
267. #14519768C23semidirect
295. #14519757C23semidirect
298. #14519756C23semidirect
307. #14519753C23semidirect
327. Q8×Dic61C23semidirect
329. C4×Dic122C23semidirect
331. #14519742C23semidirect
345. #14519736C23semidirect
348. #14519735C23semidirect
349. #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. C4×#92418C23semidirect
442. C8×Dic61C23semidirect
443. C8×Dic61C23semidirect
446. C2×Q16×C61C23semidirect
450. C22×C8×C61C23semidirect
453. #125×C61C23semidirect
459. C22⋊Q8×C61C23semidirect
463. C4×Q8×C61C23semidirect
467. #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. C4×C8×C61C23semidirect
937. #3296D61direct (N × H)
962. D61#3296direct (N × H)
981. #552C2×D61semidirect
1020. #488C2×D61semidirect
1028. #483C2×D61semidirect
1036. #482C2×D61semidirect
1044. #478C2×D61semidirect
1052. #467C2×D61semidirect
1060. #465C2×D61semidirect
1068. #464C2×D61semidirect
1076. #452C2×D61semidirect
1084. #450C2×D61semidirect
1092. C4×SD16C2×D61semidirect
1100. C8×D4C2×D61semidirect
1112. #416C2×D61semidirect
1130. C2×#102C2×D61semidirect
1134. C61C2×#3296semidirect
1169. C2×Q16C22×D61semidirect
1193. C22×C8C22×D61semidirect
1215. #125C22×D61semidirect
1255. C22⋊Q8C22×D61semidirect
1283. C4×Q8C22×D61semidirect
1311. #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. C4×C8C22×D61semidirect

Maximal subgroups

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

subgroupindex
#552×D612
#546×D612
#214576612
#214576602
#214576592
#214576582
#214576572
#214576562
#214576552
#214576542
#214576532
#214576522
#214576512
#214576502
#214576492
#214576482
#214576472
#488×D612
#482×D612
#483×D612
#478×D612
#467×D612
#465×D612
#464×D612
#452×D612
#450×D612
C4×SD16×D612
C8×D4×D612
#416×D612
C2×#102×D612
C61×#32962
C2×#329661