Finite Group Databasebeta

← #30558366

Subgroups — #30558366

Order 15616.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459729C211yesmaximal, characteristic, complemented
2#21459605C211yesmaximal, characteristic, complemented
3#21458011C211yesmaximal, characteristic, complemented
4#21458000C211yesmaximal, characteristic, complemented
5#21457979C211yesmaximal, characteristic, complemented
6#21457968C211yesmaximal, characteristic, complemented
7#21457933C211yesmaximal, characteristic, complemented
8#21457928C211yesmaximal, characteristic, complemented
9#21457901C211yesmaximal, characteristic, complemented
10#21457896C211yesmaximal, characteristic, complemented
11#21457887C211yesmaximal, characteristic, complemented
12#21457884C211yesmaximal, characteristic, complemented
13#21457855C211yesmaximal, characteristic, complemented
14#21457852C211yesmaximal, characteristic, complemented
15#21457817C211yesmaximal, characteristic, complemented
16#21457804C211yesmaximal, characteristic, complemented
17#21457785C211yesmaximal, characteristic, complemented
18#489×D61C211yesmaximal, characteristic, complemented
19#21455781C211yesmaximal, characteristic, complemented
20#21455776C211yesmaximal, characteristic, complemented
21#21455631C211yesmaximal, characteristic, complemented
22#21455503C211yesmaximal, characteristic, complemented
23#21455496C211yesmaximal, characteristic, complemented
24#21455308C211yesmaximal, characteristic, complemented
25#21455132C211yesmaximal, characteristic, complemented
26#21455118C211yesmaximal, characteristic, complemented
27#21454616C211yesmaximal, characteristic, complemented
28#21454533C211yesmaximal, characteristic, complemented
29#21454350C211yesmaximal, characteristic, complemented
30#21454340C211yesmaximal, characteristic, complemented
31C61×#3306C211yesmaximal, characteristic, complemented
32C2×#14519824C2211yescharacteristic
33C2×#14519822C2211yescharacteristic
34C2×#14519806C2211yescharacteristic, complemented
35C2×#14519801C2211yescharacteristic
36C2×#14519796C2211yescharacteristic
37C2×#14519785C2211yescharacteristic, complemented
38C2×#14519783C2211yescharacteristic
39#16840486C2211yescharacteristic, complemented
40#16840482C2211yescharacteristic, complemented
41#16840476C2211yescharacteristic, complemented
42#16840476C2211yescharacteristic, complemented
43#16840467C2211yescharacteristic, complemented
44#16840467C2211yescharacteristic, complemented
45#16840457—21no—
46#16840457—21no—
47#16840422—21no—
48#16840422C2211yescharacteristic
49#16840421C2211yescharacteristic
50#16840420C2211yescharacteristic
51#16840419—21no—
52#16840418C2211yescharacteristic
53#16840417C2211yescharacteristic, complemented
54#16840407C2211yescharacteristic
55#16840406C2211yescharacteristic
56#16840404—21no—
57#16840402—21no—
58#16840401—21no—
59#16840400C2211yescharacteristic
60#16840399—21no—
61#16840380—21no—
62#16840380—21no—
63#16840341C2211yescharacteristic
64#16840341C2211yescharacteristic, complemented
65#16840335C2211yescharacteristic
66#16840334—21no—
67#16840328C2211yescharacteristic
68#16840327—21no—
69#16840314—21no—
70#16840309C2211yescharacteristic
71#16840308—21no—
72#16840307—21no—
73C4⋊Q8×D61C2211yescharacteristic, complemented
74C2×#14519763—21no—
75#124×D61C2211yescharacteristic
76#16840243C2211yescharacteristic
77#16840243C2211yescharacteristic, complemented
78C4×#11758224C2211yescharacteristic
79C4×#11758224C2211yescharacteristic, complemented
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#16840104C2211yescharacteristic, complemented
89#16840101C2211yescharacteristic, complemented
90#16840100C2211yescharacteristic, complemented
91#16840097C2211yescharacteristic, complemented
92#16840096C2211yescharacteristic, complemented
93#16840094C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic, complemented
95#16840087C2211yescharacteristic, complemented
96#16840085C2211yescharacteristic, complemented
97#16840083C2211yescharacteristic, complemented
98#16840082C2211yescharacteristic, complemented
99#16840075C2211yescharacteristic, complemented
100#16840074C2211yescharacteristic, complemented
101#16840058C2211yescharacteristic, complemented
102#16840054C2211yescharacteristic, complemented
103#16840052C2211yescharacteristic, complemented
104#16840046C2211yescharacteristic, complemented
105#16840046C2211yescharacteristic, complemented
106#16840040C2211yescharacteristic, complemented
107#16840040C2211yescharacteristic, complemented
108#16840021C2211yescharacteristic, complemented
109#16840018C2211yescharacteristic, complemented
110#16840014C2211yescharacteristic, complemented
111#16840008C2211yescharacteristic, complemented
112#16840007C2211yescharacteristic, complemented
113#16840006C2211yescharacteristic, complemented
114#16840005C2211yescharacteristic, complemented
115#16840003C2211yescharacteristic, complemented
116#16840002C2211yescharacteristic, complemented
117#16839996C2211yescharacteristic, complemented
118#16839995C2211yescharacteristic, complemented
119#16839992C2211yescharacteristic, complemented
120#16839990C2211yescharacteristic, complemented
121#16839989C2211yescharacteristic, complemented
122#16839987C2211yescharacteristic, complemented
123#16839985C2211yescharacteristic, complemented
124#16839983C2211yescharacteristic, complemented
125#16839981C2211yescharacteristic, complemented
126#16839979C2211yescharacteristic, complemented
127#16839977C2211yescharacteristic, complemented
128#16839975C2211yescharacteristic, complemented
129#16839926C2211yescharacteristic
130#16839925C2211yescharacteristic
131#16839925C2211yescharacteristic, complemented
132#16839924C2211yescharacteristic, complemented
133#16839920C2211yescharacteristic, complemented
134#16839919C2211yescharacteristic, complemented
135#16839914C2211yescharacteristic
136#16839913C2211yescharacteristic
137#16839905C2211yescharacteristic
138#16839904C2211yescharacteristic
139#16839904C2211yescharacteristic, complemented
140#16839900C2211yescharacteristic, complemented
141#16839899C2211yescharacteristic, complemented
142#16839894C2211yescharacteristic
143#16839874C2211yescharacteristic, complemented
144#16839870C2211yescharacteristic, complemented
145#16839868C2211yescharacteristic, complemented
146#16839862C2211yescharacteristic, complemented
147#16839862C2211yescharacteristic, complemented
148#16839859C2211yescharacteristic, 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#16839801C2211yescharacteristic, complemented
158#16839801C2211yescharacteristic, complemented
159#16839797C2211yescharacteristic, complemented
160#16839784C2211yescharacteristic, complemented
161#16839772C2211yescharacteristic, complemented
162#16839769C2211yescharacteristic, complemented
163#16839769C2211yescharacteristic, complemented
164#16839767C2211yescharacteristic
165#16839765C2211yescharacteristic
166#16839765C2211yescharacteristic
167#16839761C2211yescharacteristic
168#16839760C2211yescharacteristic
169#16839760C2211yescharacteristic
170#16839760C2211yescharacteristic
171#16839760C2211yescharacteristic, complemented
172#16839759C2211yescharacteristic
173#16839758C2211yescharacteristic, complemented
174#16839755C2211yescharacteristic
175#16839755C2211yescharacteristic
176#16839755C2211yescharacteristic, complemented
177#16839755C2211yescharacteristic, complemented
178C2×#14519700C2211yescharacteristic, complemented
179#103×D61C2211yescharacteristic, complemented
180#103×D61C2211yescharacteristic, complemented
181#103×D61C2211yescharacteristic, complemented
182#102×D61C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185#16839727C2211yescharacteristic
186#16839727C2211yescharacteristic, complemented
187#97×D61C2211yescharacteristic, complemented
188C61×#547C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#483C2211yescharacteristic, complemented
192C61×#481C2211yescharacteristic, complemented
193C61×#476C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic, complemented
198C61×#447C2211yescharacteristic
199C61×#442C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C2×#102×C61C2211yescharacteristic
203#14519824—24no—
204#14519824—42no—
205#14519822—24no—
206#14519822—42no—
207C2×#11758222—21no—
208C2×#11758222—21no—
209C2×#11758222C2311yescharacteristic
210C2×#11758222C2311yescharacteristic
211C2×#11758222C2311yescharacteristic
212C2×#11758224—21no—
213C2×#11758224—21no—
214C2×#11758224—21no—
215C2×#11758224C2311yescharacteristic
216C2×#11758224C2311yescharacteristic
217C2×#11758224C2311yescharacteristic
218C2×#11758224C2311yescharacteristic
219C22×Dic122—21no—
220C22×Dic122C2311yescharacteristic
221C2×Q8×D61—21no—
222C2×Q8×D61C2311yescharacteristic
223C2×Q8×D61C2311yescharacteristic
224C22×C22⋊D61—21no—
225C22×C22⋊D61—21no—
226C2×D4×D61—21no—
227C2×D4×D61C2311yescharacteristic
228C2×D4×D61C2311yescharacteristic
229#14519806—42no—
230#14519801—42no—
231#14519796—24no—
232C2×Dic244C2311yescharacteristic
233C2×Dic244C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758190C2311yescharacteristic
236C2×#11758200C2311yescharacteristic
237C2×#11758200C2311yescharacteristic
238C2×#11758200C2311yescharacteristic
239C2×#11758200C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241#14519785—42no—
242#14519783—42no—
243C2×#11758194C2311yescharacteristic
244C2×#11758189C2311yescharacteristic
245C2×#11758189C2311yescharacteristic
246C2×#11758189C2311yescharacteristic
247C2×#11758189C2311yescharacteristic
248C22×#92418C2311yescharacteristic
249C2×C8×D61C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253#14519777C2311yescharacteristic
254#14519776—21no—
255#14519776—21no—
256#14519776D411yescharacteristic
257#14519776C2311yescharacteristic
258#14519776C2311yescharacteristic
259#14519775—21no—
260#14519773—21no—
261#14519773D411yescharacteristic
262#14519772—21no—
263#14519772—21no—
264#14519770—21no—
265#14519770—21no—
266#14519767—21no—
267#14519767—21no—
268#14519766—21no—
269#14519766C2311yescharacteristic
270#14519765C2311yescharacteristic
271#14519764—21no—
272#14519764—21no—
273#14519764—21no—
274#14519764C2311yescharacteristic
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519763D411yescharacteristic
286#14519763D411yescharacteristic
287#14519762—21no—
288#14519761—21no—
289#14519760—21no—
290#14519759—21no—
291#14519759—21no—
292#14519759—21no—
293#14519758—21no—
294#14519757C2311yescharacteristic
295#14519757C2311yescharacteristic
296#14519757C2311yescharacteristic
297#14519756—21no—
298#14519756—21no—
299#14519756—21no—
300#14519756C2311yescharacteristic
301#14519756C2311yescharacteristic
302#14519756C2311yescharacteristic
303#14519755—21no—
304#14519755—21no—
305#14519755—21no—
306#14519755—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754—21no—
310#14519754—21no—
311#14519753C2311yescharacteristic
312#14519752D411yescharacteristic
313#14519752C2311yescharacteristic
314#14519751—21no—
315#14519751C2311yescharacteristic
316#14519750—21no—
317#14519750—21no—
318#14519750—21no—
319#14519750—21no—
320#14519750D411yescharacteristic
321#14519750D411yescharacteristic
322#14519749—21no—
323#14519749—21no—
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749—21no—
328#14519749—21no—
329#14519749—21no—
330#14519748—21no—
331#14519748—21no—
332#14519748D411yescharacteristic
333#14519748C2311yescharacteristic
334#14519748C2311yescharacteristic
335#14519748C2311yescharacteristic
336#14519747—21no—
337#14519747—21no—
338#14519746—21no—
339#14519745—21no—
340#14519745—21no—
341Q8×Dic61—21no—
342C4×Dic122C2311yescharacteristic
343C4×Dic122C2311yescharacteristic
344#14519742—21no—
345#14519742—21no—
346#14519742—21no—
347#14519742C2311yescharacteristic
348#14519742C2311yescharacteristic
349C4×D244C2311yescharacteristic
350D4×Dic61—21no—
351D4×Dic61C2311yescharacteristic
352D4×Dic61C2311yescharacteristic
353#14519739—21no—
354#14519739—21no—
355#14519739—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358C4×C22⋊D61—21no—
359C4×C22⋊D61—21no—
360C4×C22⋊D61—21no—
361C4×C22⋊D61—21no—
362C4×C22⋊D61—21no—
363C4×C22⋊D61—21no—
364C4×C22⋊D61C2311yescharacteristic
365C4×C22⋊D61C2311yescharacteristic
366#14519737—21no—
367#14519737—21no—
368#14519737—21no—
369#14519737—21no—
370#14519736C2311yescharacteristic
371#14519736C2311yescharacteristic
372#14519735C2311yescharacteristic
373#14519735C2311yescharacteristic
374#14519735C2311yescharacteristic
375#14519735C2311yescharacteristic
376#14519733—21no—
377#14519733—21no—
378#14519733—21no—
379#14519733—21no—
380C4⋊C4×D61—21no—
381C4⋊C4×D61C2311yescharacteristic
382C4⋊C4×D61C2311yescharacteristic
383C4⋊C4×D61C2311yescharacteristic
384C4⋊C4×D61C2311yescharacteristic
385C2×C22⋊Dic61—21no—
386C2×#11758198—21no—
387C2×#11758198—21no—
388C22⋊C4×D61—21no—
389C22⋊C4×D61—21no—
390C2×C4×Dic61—21no—
391C2×C4×Dic61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519687C2311yescharacteristic
443#14519687C2311yescharacteristic
444C2×#41×C61—21no—
445C2×#41×C61C2311yescharacteristic
446C22×D4×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×D8×C61C2311yescharacteristic
449C2×D8×C61C2311yescharacteristic
450C2×M16×C61C2311yescharacteristic
451C22×C8×C61C2311yescharacteristic
452C4⋊Q8×C61C2311yescharacteristic
453#124×C61C2311yescharacteristic
454#123×C61—21no—
455#123×C61—21no—
456#123×C61—21no—
457C22⋊Q8×C61—21no—
458C22⋊Q8×C61C2311yescharacteristic
459#121×C61—21no—
460#121×C61C2311yescharacteristic
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463#120×C61—21no—
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467C2×C4⋊C4×C61C2311yescharacteristic
468C2×C4⋊C4×C61C2311yescharacteristic
469C2×C22⋊C4×C61—21no—
470#106×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487C24×C61—21no—
488C23×D61—21no—
489C23×D61—21no—
490#41×C61—22no—
491#41×C61—41no—
492#41×C61—82no—
493C2×Q8×C61—21no—
494C2×Q8×C61C2411yescharacteristic
495C2×D4×C61—22no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—41no—
502C2×D4×C61C2×D411yescharacteristic
503C2×D4×C61C2411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61C2411yescharacteristic
512C22×C4×C61C2411yescharacteristic
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—44no—
525C2×C22⋊D61—44no—
526C2×C22⋊D61C2×D411yescharacteristic
527C2×C22⋊D61C2×D411yescharacteristic
528C2×C22⋊D61C2×D411yescharacteristic
529C2×C22⋊D61C2×D411yescharacteristic
530C2×C22⋊D61C2×D411yescharacteristic
531C2×C22⋊D61C2×D411yescharacteristic
532C22×Dic61—21no—
533C22×Dic61—21no—
534C22×Dic61—21no—
535C22×Dic61—21no—
536C22×Dic61—21no—
537C22×Dic61—21no—
538C22×Dic61—21no—
539Q8×D61—22no—
540Q8×D61—22no—
541Q8×D61—22no—
542Q8×D61—41no—
543Q8×D61—82no—
544#11758224—22no—
545#11758224—22no—
546#11758224—22no—
547#11758224—22no—
548#11758224—22no—
549#11758224—41no—
550#11758224—41no—
551#11758224—44no—
552#11758224—44no—
553#11758224—44no—
554#11758224#4114yescomplemented
555D4×D61—22no—
556D4×D61—22no—
557D4×D61—22no—
558D4×D61—41no—
559D4×D61—44no—
560#11758222—22no—
561#11758222—22no—
562#11758222—22no—
563#11758222—22no—
564#11758222—22no—
565#11758222—41no—
566#11758222—44no—
567#11758222—82no—
568C2×D244—21no—
569C2×D244C2×D411yescharacteristic
570C2×D244C2×D411yescharacteristic
571C2×D244C2×D411yescharacteristic
572C2×D244C2411yescharacteristic
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×D61C2×D411yescharacteristic
581C2×C4×D61C2×D411yescharacteristic
582C2×C4×D61C2411yescharacteristic
583C2×C4×D61C2411yescharacteristic
584C2×C4×D61C2411yescharacteristic
585C2×Dic122—22no—
586C2×Dic122—21no—
587C2×Dic122—21no—
588C2×Dic122—21no—
589C2×Dic122—21no—
590C2×Dic122—21no—
591C2×Dic122—21no—
592C2×Dic122—41no—
593C2×Dic122—44no—
594C2×Dic122C2×D411yescharacteristic
595C2×Dic122C2×D411yescharacteristic
596C2×Dic122C2411yescharacteristic
597C2×Dic122C2411yescharacteristic
598C2×Dic122C2411yescharacteristic
599SD16×C61—41no—
600D8×C61—22no—
601D8×C61—41no—
602M16×C61—41no—
603C2×C8×C61—41no—
604C2×C8×C61C2411yescharacteristic
605C2×C8×C61C2411yescharacteristic
606C2×C8×C61C2411yescharacteristic
607C2×C8×C61C2411yescharacteristic
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×C61C2411yescharacteristic
628C22⋊Dic61—21no—
629C22⋊Dic61—21no—
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⋊Dic61—21no—
640C22⋊Dic61C2×D411yescharacteristic
641C22⋊Dic61C2×D411yescharacteristic
642#11758202—41no—
643#11758200—22no—
644#11758200—22no—
645#11758200—41no—
646#11758200—41no—
647#11758199—41no—
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⋊Dic61C2×D411yescharacteristic
671C4⋊Dic61C2411yescharacteristic
672C4⋊Dic61C2411yescharacteristic
673C4⋊Dic61C2411yescharacteristic
674C4⋊Dic61C2411yescharacteristic
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
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#11758196C2×D411yescharacteristic
690#11758196C2×D411yescharacteristic
691C4×Dic61—21no—
692C4×Dic61—21no—
693C4×Dic61—21no—
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61C2×D411yescharacteristic
702C4×Dic61C2×D411yescharacteristic
703C4×Dic61C2411yescharacteristic
704#11758194—41no—
705C2×#92418—41no—
706C2×#92418C2411yescharacteristic
707C2×#92418C2411yescharacteristic
708C2×#92418C2411yescharacteristic
709C2×#92418C2411yescharacteristic
710Dic244—22no—
711Dic244—41no—
712#11758190—41no—
713#11758189—22no—
714#11758189—22no—
715#11758189—41no—
716#11758189—41no—
717C8×D61—22no—
718C8×D61—22no—
719C8×D61—41no—
720C8×D61—41no—
721C23×C61—21no—
722C23×C61—21no—
723C23×C61—21no—
724C23×C61—42no—
725C23×C61—81no—
726C23×C61—81no—
727C23×C61C22×D411yescharacteristic
728C23×C61C22×D411yescharacteristic
729C22×D61—21no—
730C22×D61—42no—
731C22×D61—42no—
732C22×D61—81no—
733C22×D61—81no—
734C22×D61—81no—
735C22×D61—81no—
736C22×D61C22×D411yescharacteristic
737C22×D61C22×D411yescharacteristic
738C22×D61C22×D411yescharacteristic
739Q8×C61—21no—
740Q8×C61—21no—
741Q8×C61—42no—
742D4×C61—21no—
743D4×C61—21no—
744D4×C61—21no—
745D4×C61—21no—
746D4×C61—21no—
747D4×C61—41no—
748D4×C61—42no—
749D4×C61—42no—
750D4×C61—81no—
751D4×C61—81no—
752D4×C61—81no—
753D4×C61C2×#4112yes—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—42no—
764C2×C4×C61—42no—
765C2×C4×C61—81no—
766C2×C4×C61—81no—
767C2×C4×C61—81no—
768C2×C4×C61C22×D411yescharacteristic
769C2×C4×C61C22×D411yescharacteristic
770C2×C4×C61C22×D411yescharacteristic
771C2×C4×C61C22×D411yescharacteristic
772C2×C4×C61C2511yescharacteristic
773C22⋊D61—22no—
774C22⋊D61—22no—
775C22⋊D61—24no—
776C22⋊D61—22no—
777C22⋊D61—22no—
778C22⋊D61—41no—
779C22⋊D61—41no—
780C22⋊D61—42no—
781C22⋊D61—42no—
782C22⋊D61—42no—
783C22⋊D61—42no—
784C22⋊D61—42no—
785C22⋊D61—42no—
786C22⋊D61—81no—
787C22⋊D61—81no—
788C22⋊D61—81no—
789C22⋊D61—81no—
790C2×Dic61—21no—
791C2×Dic61—24no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—21no—
797C2×Dic61—21no—
798C2×Dic61—42no—
799C2×Dic61—42no—
800C2×Dic61—42no—
801C2×Dic61—42no—
802C2×Dic61—42no—
803C2×Dic61—81no—
804C2×Dic61C22×D411yescharacteristic
805C2×Dic61C22×D411yescharacteristic
806C2×Dic61C22×D411yescharacteristic
807C2×Dic61C22×D411yescharacteristic
808C2×Dic61C22×D411yescharacteristic
809D244—22no—
810D244—22no—
811D244—21no—
812D244—21no—
813D244—41no—
814D244—81no—
815C4×D61—21no—
816C4×D61—21no—
817C4×D61—21no—
818C4×D61—21no—
819C4×D61—41no—
820C4×D61—41no—
821C4×D61—42no—
822C4×D61—42no—
823C4×D61—42no—
824C4×D61—81no—
825C4×D61—81no—
826C4×D61—81no—
827C4×D61—81no—
828C4×D61C2×#4112yes—
829C4×D61H(5,𝔽2)12yes—
830Dic122—21no—
831Dic122—22no—
832Dic122—22no—
833Dic122—21no—
834Dic122—21no—
835Dic122—21no—
836Dic122—21no—
837Dic122—42no—
838Dic122—42no—
839Dic122—42no—
840Dic122—42no—
841Dic122—81no—
842Dic122—81no—
843Dic122C2×#4112yes—
844C8×C61—21no—
845C8×C61—21no—
846C8×C61—21no—
847C8×C61—21no—
848#92418—21no—
849#92418—21no—
850#92418—21no—
851#92418—21no—
852#61222—611nomaximal, Sylow
853C22×C61—21no—
854C22×C61—21no—
855C22×C61—21no—
856C22×C61—21no—
857C22×C61—22no—
858C22×C61—21no—
859C22×C61—21no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61—41no—
865C22×C61—41no—
866C22×C61—41no—
867C22×C61—41no—
868C22×C61—162no—
869C22×C61C23×D411yescharacteristic
870C2×D61—21no—
871C2×D61—21no—
872C2×D61—21no—
873C2×D61—21no—
874C2×D61—21no—
875C2×D61—21no—
876C2×D61—21no—
877C2×D61—21no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—41no—
881C2×D61—162no—
882C2×D61—162no—
883C2×D61#54612yes—
884C4×C61—21no—
885C4×C61—21no—
886C4×C61—21no—
887C4×C61—21no—
888C4×C61—41no—
889C4×C61—41no—
890C4×C61—41no—
891C4×C61—41no—
892C4×C61—41no—
893C4×C61C22×#4111yescharacteristic
894C4×C61C2×H(5,𝔽2)11yescharacteristic
895Dic61—21no—
896Dic61—21no—
897Dic61—21no—
898Dic61—21no—
899Dic61—22no—
900Dic61—41no—
901Dic61—41no—
902Dic61—41no—
903Dic61—41no—
904Dic61—41no—
905Dic61—41no—
906Dic61#54612yes—
907#3511—611no—
908#3500—611no—
909#3321—611no—
910#3321—611no—
911#3319—611no—
912#3319—611no—
913#3316—611no—
914#3316—611no—
915#3314—611no—
916#3314—611no—
917#3313—611no—
918#3313—611no—
919#3311—611no—
920#3311—611no—
921#3308—611no—
922#3308—611no—
923#3306—611no—
924#3306D6111yescharacteristic, complemented
925C2×#489—611no—
926#3097—611no—
927#3096—611no—
928#3079—611no—
929#3063—611no—
930#3062—611no—
931#3040—611no—
932#3013—611no—
933#3012—611no—
934#2943—611no—
935#2932—611no—
936#2898—611no—
937#2897—611no—
938C2×C61—42no—
939C2×C61—41no—
940C2×C61—41no—
941C2×C61—81no—
942C2×C61—81no—
943C2×C61C2×#54611yescharacteristic
944C2×C61#358511yescharacteristic
945C2×C61#358611yescharacteristic
946D61—22no—
947D61—41no—
948D61—41no—
949D61—81no—
950C2×2−1+4—611no—
951C2×H(5,𝔽2)—611no—
952C2×#137—611no—
953C2×AGL(1,ℤ/8)—611no—
954C2×#135—611no—
955C2×#131—611no—
956C2×#131—611no—
957#556—611no—
958#556—611no—
959#555—611no—
960#555—611no—
961#554—611no—
962#554—611no—
963#553—1221no—
964#553—1221no—
965#548—611no—
966#548—611no—
967#548—611no—
968#548—611no—
969#548—1221no—
970#548—1221no—
971#547—611no—
972#547C2×D6111yescharacteristic, complemented
973#546—611no—
974#546—611no—
975#546—611no—
976#546—1221no—
977#546—1221no—
978#546—1221no—
979#546—1221no—
980#546C2×D6111yescharacteristic
981#542—1221no—
982#542—1221no—
983#537—611no—
984#537—611no—
985#536—611no—
986#536—1221no—
987#535—611no—
988#535—1221no—
989#533—1221no—
990#532—611no—
991#532—1221no—
992#532—1221no—
993C2×C4⋊Q8—611no—
994C2×#124—611no—
995C2×#124—1221no—
996#520—611no—
997#520—611no—
998C4×#41—611no—
999C4×#41—611no—
1000#489—611no—
1001#489—611no—
1002#489—611no—
1003#489—611no—
1004#489—611no—
1005#489—611no—
1006#489—611no—
1007#489C2×D6111yescharacteristic, complemented
1008#485—611no—
1009#485—611no—
1010#485—611no—
1011#485—611no—
1012#484—611no—
1013#484—611no—
1014#483—611no—
1015#483C2×D6111yescharacteristic, complemented
1016#482—611no—
1017#482—611no—
1018#482—611no—
1019#482—611no—
1020#481—611no—
1021#481C2×D6111yescharacteristic, complemented
1022#480—611no—
1023#480—611no—
1024#477—611no—
1025#477—611no—
1026#476—611no—
1027#476C2×D6111yescharacteristic, complemented
1028#475—611no—
1029#475—611no—
1030#474—611no—
1031#474—611no—
1032#470—611no—
1033#470—611no—
1034#469—611no—
1035#469C2×D6111yescharacteristic, complemented
1036#468—611no—
1037#468—611no—
1038#468—611no—
1039#468—611no—
1040#467—611no—
1041#467—611no—
1042#466—611no—
1043#466—611no—
1044#465—611no—
1045#465—611no—
1046#465—611no—
1047#465C2×D6111yescharacteristic, complemented
1048#464—611no—
1049#464—611no—
1050#464—611no—
1051#464—611no—
1052#463—611no—
1053#463—611no—
1054#463—611no—
1055#463C2×D6111yescharacteristic, complemented
1056#452—611no—
1057#452—611no—
1058#452—611no—
1059#452—611no—
1060#451—611no—
1061#451—611no—
1062#450—611no—
1063#450—611no—
1064#449—611no—
1065#449—611no—
1066#449—611no—
1067#449C2×D6111yescharacteristic, complemented
1068#448—611no—
1069#448—611no—
1070#447—611no—
1071#447C2×D6111yescharacteristic
1072#442—611no—
1073#442C2×D6111yescharacteristic, complemented
1074#441—611no—
1075#441—611no—
1076#440—611no—
1077#440—611no—
1078#440—611no—
1079#440—611no—
1080#435—611no—
1081#435—611no—
1082#435—611no—
1083#435—611no—
1084#435—611no—
1085#435—611no—
1086#435—611no—
1087#435C2×D6111yescharacteristic, complemented
1088#428—611no—
1089#428—611no—
1090#427—611no—
1091#423—611no—
1092#419—611no—
1093#419—611no—
1094#419—611no—
1095#418—611no—
1096#418—611no—
1097#418—611no—
1098#417—611no—
1099#417—611no—
1100#417—611no—
1101#417—611no—
1102#417—611no—
1103#417C2×D6111yescharacteristic, complemented
1104#416—611no—
1105#416—611no—
1106#416—611no—
1107#416—611no—
1108#416—611no—
1109#416—611no—
1110C2×#103—611no—
1111C2×#103—611no—
1112C2×#103—611no—
1113C2×#103—611no—
1114C2×#102—611no—
1115C2×#102—611no—
1116C2×#102—611no—
1117C2×#102C2×D6111yescharacteristic
1118#408—611no—
1119#408—611no—
1120C2×#97—611no—
1121C61#6122211yescharacteristic, complemented, Sylow
11222−1+4—1224no—
11232−1+4—2442no—
1124H(5,𝔽2)—1224no—
1125H(5,𝔽2)—2442no—
1126C2×#41—21no—
1127C2×#41—611no—
1128C2×#41—611no—
1129C2×#41—611no—
1130C2×#41—611no—
1131C2×#41—611no—
1132C2×#41—611no—
1133C2×#41—611no—
1134C2×#41—1221no—
1135C2×#41—1221no—
1136C2×#41—1221no—
1137C2×#41—1221no—
1138C2×#41—1221no—
1139C2×#41C22×D6111yescharacteristic
1140C22×Q8—611no—
1141C22×Q8—611no—
1142C22×Q8—611no—
1143C22×Q8—1221no—
1144C22×Q8—1221no—
1145C22×D4—611no—
1146C22×D4—611no—
1147C22×D4—1221no—
1148C22×D4—1221no—
1149C22×D4—1221no—
1150C22×D4C22×D6111yescharacteristic
1151#137—2442no—
1152AGL(1,ℤ/8)—2442no—
1153#135—1224no—
1154C2×Q16—611no—
1155C2×Q16—611no—
1156C2×Q16—611no—
1157C2×SD16—611no—
1158C2×SD16—611no—
1159C2×SD16—611no—
1160C2×SD16—611no—
1161C2×SD16—611no—
1162C2×SD16C22×D6111yescharacteristic
1163C2×D8—611no—
1164C2×D8C22×D6111yescharacteristic
1165C2×D8C22×D6111yescharacteristic
1166#131—2442no—
1167#131—2442no—
1168C2×M16—611no—
1169C2×M16—611no—
1170C2×M16—611no—
1171C2×M16—611no—
1172C2×M16—611no—
1173C2×M16C22×D6111yescharacteristic
1174C22×C8—611no—
1175C22×C8—611no—
1176C22×C8—611no—
1177C22×C8—611no—
1178C22×C8—611no—
1179C22×C8C22×D6111yescharacteristic
1180C4⋊Q8—611no—
1181C4⋊Q8—611no—
1182C4⋊Q8—611no—
1183C4⋊Q8—611no—
1184C4⋊Q8—1221no—
1185C4⋊Q8—1221no—
1186C4⋊Q8—1221no—
1187C4⋊Q8C22×D6111yescharacteristic
1188#127—611no—
1189#127—1221no—
1190#126—1221no—
1191#126—1221no—
1192#126—1221no—
1193#126—1221no—
1194#125—1221no—
1195#125—1221no—
1196#124—611no—
1197#124—611no—
1198#124—611no—
1199#124—611no—
1200#124—611no—
1201#124—1221no—
1202#124—1221no—
1203#124—1221no—
1204#124—1221no—
1205#124—1221no—
1206#124—1221no—
1207#124—1221no—
1208#124—1221no—
1209#124—1221no—
1210#124—1221no—
1211#124—1221no—
1212#124—1221no—
1213#124—1221no—
1214#124—1221no—
1215#124C22×D6111yescharacteristic
1216#123—21no—
1217#123—21no—
1218#123—21no—
1219#123—1221no—
1220#123—1221no—
1221#123—1221no—
1222#123—1221no—
1223#123—1221no—
1224#123—1221no—
1225#123—1221no—
1226C22⋊Q8—21no—
1227C22⋊Q8—611no—
1228C22⋊Q8—611no—
1229C22⋊Q8—611no—
1230C22⋊Q8—611no—
1231C22⋊Q8—611no—
1232C22⋊Q8—611no—
1233C22⋊Q8—611no—
1234C22⋊Q8—1221no—
1235C22⋊Q8—1221no—
1236C22⋊Q8—1221no—
1237C22⋊Q8—1221no—
1238C22⋊Q8—1221no—
1239C22⋊Q8—1221no—
1240C22⋊Q8—1221no—
1241C22⋊Q8—1221no—
1242C22⋊Q8—1221no—
1243C22⋊Q8—1221no—
1244C22⋊Q8—1221no—
1245C22⋊Q8C22×D6111yescharacteristic
1246#121—21no—
1247#121—611no—
1248#121—611no—
1249#121—611no—
1250#121—611no—
1251#121—611no—
1252#121—611no—
1253#121—611no—
1254#121—611no—
1255#121—611no—
1256#121—1221no—
1257#121—1221no—
1258#121—1221no—
1259#121—1221no—
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#121—1221no—
1270#121—1221no—
1271#121C22×D6111yescharacteristic
1272#121C22×D6111yescharacteristic
1273#121C22×D6111yescharacteristic
1274#120—21no—
1275#120—1221no—
1276#120—1221no—
1277#120—1221no—
1278#120—1221no—
1279#120—1221no—
1280C4×Q8—611no—
1281C4×Q8—611no—
1282C4×Q8—611no—
1283C4×Q8—611no—
1284C4×Q8—1221no—
1285C4×Q8—1221no—
1286C4×Q8—1221no—
1287C4×Q8—1221no—
1288C4×D4—611no—
1289C4×D4—611no—
1290C4×D4—611no—
1291C4×D4—611no—
1292C4×D4—611no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4—1221no—
1297C4×D4—1221no—
1298C4×D4—1221no—
1299C4×D4—1221no—
1300C4×D4—1221no—
1301C4×D4—1221no—
1302C4×D4—1221no—
1303C4×D4—1221no—
1304C4×D4—1221no—
1305C4×D4—1221no—
1306C4×D4—1221no—
1307C4×D4—1221no—
1308C4×D4—1221no—
1309C4×D4C22×D6111yescharacteristic
1310C4×D4C22×D6111yescharacteristic
1311C4×D4C22×D6111yescharacteristic
1312#117—611no—
1313#117—611no—
1314#117—611no—
1315#117—611no—
1316#117—611no—
1317#117—611no—
1318#117—1221no—
1319#117—1221no—
1320#117—1221no—
1321#117—1221no—
1322C2×C4⋊C4—611no—
1323C2×C4⋊C4—611no—
1324C2×C4⋊C4—611no—
1325C2×C4⋊C4—611no—
1326C2×C4⋊C4—1221no—
1327C2×C4⋊C4C22×D6111yescharacteristic
1328C2×C4⋊C4C22×D6111yescharacteristic
1329C2×C22⋊C4—21no—
1330C2×C22⋊C4—1221no—
1331C2×C22⋊C4—1221no—
1332C2×C22⋊C4—1221no—
1333C2×C22⋊C4—1221no—
1334C2×C22⋊C4—1221no—
1335C2×C42—611no—
1336C2×C42—1221no—
1337C2×C42—1221no—
1338#107—611no—
1339#107—611no—
1340#107—611no—
1341#107—611no—
1342#107—611no—
1343#107—611no—
1344#106—611no—
1345#106—611no—
1346#106—611no—
1347#106C22×D6111yescharacteristic
1348#106C22×D6111yescharacteristic
1349#106C22×D6111yescharacteristic
1350C4⋊C8—611no—
1351C4⋊C8—611no—
1352C4⋊C8—611no—
1353C4⋊C8C22×D6111yescharacteristic
1354#103—611no—
1355#103—611no—
1356#103—611no—
1357#103—611no—
1358#103—611no—
1359#103—611no—
1360#103—611no—
1361#103—611no—
1362#103—611no—
1363#103—611no—
1364#103—611no—
1365#103—611no—
1366#103—611no—
1367#103—611no—
1368#103—611no—
1369#103—611no—
1370#103—611no—
1371#103C22×D6111yescharacteristic
1372#103C22×D6111yescharacteristic
1373#103C22×D6111yescharacteristic
1374#102—611no—
1375#102—611no—
1376#102—611no—
1377#102—611no—
1378#102—611no—
1379#102—611no—
1380#102—611no—
1381#102—611no—
1382#102—611no—
1383#102—611no—
1384#102—611no—
1385#102—611no—
1386#102—611no—
1387#102C22×D6111yescharacteristic
1388#102C22×D6111yescharacteristic
1389#102C22×D6111yescharacteristic
1390#102C22×D6111yescharacteristic
1391#102C22×D6111yescharacteristic
1392#102C22×D6111yescharacteristic
1393#102C22×D6111yescharacteristic
1394C22⋊C8—611no—
1395C22⋊C8—611no—
1396C22⋊C8—611no—
1397C22⋊C8—611no—
1398C22⋊C8—611no—
1399C22⋊C8—611no—
1400C22⋊C8C22×D6111yescharacteristic
1401C22⋊C8C22×D6111yescharacteristic
1402#97—611no—
1403#97—611no—
1404#97—611no—
1405#97C22×D6111yescharacteristic
1406C24—21no—
1407C24—1221no—
1408C24—1221no—
1409#41—22no—
1410#41—41no—
1411#41—82no—
1412#41—614no—
1413#41—1222no—
1414#41—1222no—
1415#41—1222no—
1416#41—1222no—
1417#41—1222no—
1418#41—1222no—
1419#41—1222no—
1420#41—1222no—
1421#41—1222no—
1422#41—1222no—
1423#41—4882no—
1424#41—2441no—
1425#41—2444no—
1426#41—2441no—
1427#41—2441no—
1428#41—2444no—
1429#41—2444no—
1430#41—2444no—
1431C2×Q8—21no—
1432C2×Q8—611no—
1433C2×Q8—611no—
1434C2×Q8—611no—
1435C2×Q8—611no—
1436C2×Q8—611no—
1437C2×Q8—1221no—
1438C2×Q8—1221no—
1439C2×Q8—1221no—
1440C2×Q8—1221no—
1441C2×Q8—1222no—
1442C2×Q8—1222no—
1443C2×Q8—1222no—
1444C2×Q8—1221no—
1445C2×Q8—1221no—
1446C2×Q8—1222no—
1447C2×Q8—4882no—
1448C2×Q8—2441no—
1449C2×Q8—2444no—
1450C2×Q8—2441no—
1451C2×Q8C23×D6111yescharacteristic
1452C2×D4—22no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—41no—
1459C2×D4—611no—
1460C2×D4—611no—
1461C2×D4—611no—
1462C2×D4—611no—
1463C2×D4—611no—
1464C2×D4—611no—
1465C2×D4—611no—
1466C2×D4—611no—
1467C2×D4—611no—
1468C2×D4—611no—
1469C2×D4—1221no—
1470C2×D4—1222no—
1471C2×D4—1222no—
1472C2×D4—1221no—
1473C2×D4—1221no—
1474C2×D4—1221no—
1475C2×D4—1222no—
1476C2×D4—1221no—
1477C2×D4—1221no—
1478C2×D4—1221no—
1479C2×D4—1221no—
1480C2×D4—1221no—
1481C2×D4—1221no—
1482C2×D4—1221no—
1483C2×D4—1221no—
1484C2×D4—2441no—
1485C2×D4—2444no—
1486C2×D4—2444no—
1487C2×D4—2444no—
1488C2×D4D4×D6111yescharacteristic
1489C2×D4C23×D6111yescharacteristic
1490C2×D4C23×D6111yescharacteristic
1491C2×D4C23×D6111yescharacteristic
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—611no—
1498C22×C4—611no—
1499C22×C4—611no—
1500C22×C4—611no—
1501C22×C4—611no—
1502C22×C4—1221no—
1503C22×C4—1221no—
1504C22×C4—1221no—
1505C22×C4—1221no—
1506C22×C4—1221no—
1507C22×C4—1221no—
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×C4C23×D6111yescharacteristic
1517C22×C4C23×D6111yescharacteristic
1518Q16—1222no—
1519Q16—2441no—
1520Q16—2441no—
1521SD16—41no—
1522SD16—1222no—
1523SD16—1222no—
1524SD16—2441no—
1525SD16—2441no—
1526SD16—2441no—
1527D8—22no—
1528D8—41no—
1529D8—2441no—
1530M16—41no—
1531M16—1222no—
1532M16—1222no—
1533M16—2441no—
1534M16—2441no—
1535M16—2441no—
1536C2×C8—41no—
1537C2×C8—611no—
1538C2×C8—611no—
1539C2×C8—611no—
1540C2×C8—611no—
1541C2×C8—1222no—
1542C2×C8—1222no—
1543C2×C8—2441no—
1544C2×C8—2441no—
1545C2×C8—2441no—
1546C2×C8C23×D6111yescharacteristic
1547C2×C8C23×D6111yescharacteristic
1548C2×C8C23×D6111yescharacteristic
1549C2×C8C23×D6111yescharacteristic
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—611no—
1555C4⋊C4—611no—
1556C4⋊C4—611no—
1557C4⋊C4—611no—
1558C4⋊C4—611no—
1559C4⋊C4—611no—
1560C4⋊C4—611no—
1561C4⋊C4—1221no—
1562C4⋊C4—1221no—
1563C4⋊C4—1221no—
1564C4⋊C4—1221no—
1565C4⋊C4—1221no—
1566C4⋊C4—1221no—
1567C4⋊C4—1221no—
1568C4⋊C4—1221no—
1569C4⋊C4—1221no—
1570C4⋊C4—1221no—
1571C4⋊C4—1221no—
1572C4⋊C4—1221no—
1573C4⋊C4—1221no—
1574C4⋊C4—1221no—
1575C4⋊C4—1221no—
1576C4⋊C4—1221no—
1577C4⋊C4—1221no—
1578C4⋊C4—1221no—
1579C4⋊C4D4×D6111yescharacteristic
1580C4⋊C4C23×D6111yescharacteristic
1581C4⋊C4C23×D6111yescharacteristic
1582C4⋊C4C23×D6111yescharacteristic
1583C4⋊C4C23×D6111yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—611no—
1593C22⋊C4—611no—
1594C22⋊C4—611no—
1595C22⋊C4—611no—
1596C22⋊C4—611no—
1597C22⋊C4—611no—
1598C22⋊C4—1221no—
1599C22⋊C4—1221no—
1600C22⋊C4—1221no—
1601C22⋊C4—1221no—
1602C22⋊C4—1221no—
1603C22⋊C4—1221no—
1604C22⋊C4—1221no—
1605C22⋊C4—1221no—
1606C22⋊C4—1221no—
1607C22⋊C4—1221no—
1608C22⋊C4—1221no—
1609C22⋊C4—1221no—
1610C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1625C22⋊C4D4×D6111yescharacteristic
1626C42—611no—
1627C42—611no—
1628C42—611no—
1629C42—1221no—
1630C42—1221no—
1631C42—1221no—
1632C42—1221no—
1633C42—1221no—
1634C42—1221no—
1635C42—1221no—
1636C42—1221no—
1637C42—1221no—
1638C42—1221no—
1639C42C23×D6111yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—42no—
1644C23—81no—
1645C23—81no—
1646C23—611no—
1647C23—611no—
1648C23—611no—
1649C23—1221no—
1650C23—4881no—
1651C23—4881no—
1652C23—4881no—
1653C23—4881no—
1654C23—2442no—
1655C23—2442no—
1656C23C2×D4×D6111yescharacteristic
1657C23C2×D4×D6111yescharacteristic
1658Q8—21no—
1659Q8—21no—
1660Q8—42no—
1661Q8—612no—
1662Q8—1222no—
1663Q8—1222no—
1664Q8—1221no—
1665Q8—1221no—
1666Q8—1221no—
1667Q8—1221no—
1668Q8—1221no—
1669Q8—4881no—
1670Q8—4881no—
1671Q8—2442no—
1672Q8—2442no—
1673Q8—2442no—
1674Q8—2442no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—41no—
1681D4—42no—
1682D4—42no—
1683D4—81no—
1684D4—81no—
1685D4—81no—
1686D4—1222no—
1687D4—1222no—
1688D4—1222no—
1689D4—1222no—
1690D4—1222no—
1691D4—1222no—
1692D4—1224no—
1693D4—1221no—
1694D4—1221no—
1695D4—4881no—
1696D4—4881no—
1697D4—4881no—
1698D4—4881no—
1699D4—4881no—
1700D4—2441no—
1701D4—2442no—
1702D4—2441no—
1703D4—2441no—
1704D4—2442no—
1705D4—2442no—
1706D4—2442no—
1707D4—2442no—
1708D4—2442no—
1709D4#41×D6112yes—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—42no—
1720C2×C4—42no—
1721C2×C4—81no—
1722C2×C4—81no—
1723C2×C4—81no—
1724C2×C4—611no—
1725C2×C4—612no—
1726C2×C4—612no—
1727C2×C4—611no—
1728C2×C4—611no—
1729C2×C4—611no—
1730C2×C4—611no—
1731C2×C4—1224no—
1732C2×C4—1221no—
1733C2×C4—1221no—
1734C2×C4—1221no—
1735C2×C4—1221no—
1736C2×C4—1221no—
1737C2×C4—1221no—
1738C2×C4—1221no—
1739C2×C4—1221no—
1740C2×C4—1221no—
1741C2×C4—1221no—
1742C2×C4—1221no—
1743C2×C4—4881no—
1744C2×C4—4881no—
1745C2×C4—4881no—
1746C2×C4—4881no—
1747C2×C4—4881no—
1748C2×C4—2441no—
1749C2×C4—2441no—
1750C2×C4—2442no—
1751C2×C4—2442no—
1752C2×C4—2442no—
1753C2×C4—2442no—
1754C2×C4—2442no—
1755C2×C4—2442no—
1756C2×C4—2442no—
1757C2×C4—2442no—
1758C2×C4C2×D4×D6111yescharacteristic
1759C2×C4C2×D4×D6111yescharacteristic
1760C2×C4C2×D4×D6111yescharacteristic
1761C2×C4C2×D4×D6111yescharacteristic
1762C2×C4C24×D6111yescharacteristic
1763C8—21no—
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—1221no—
1768C8—1221no—
1769C8—1221no—
1770C8—1221no—
1771C22—21no—
1772C22—21no—
1773C22—22no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—162no—
1787C22—612no—
1788C22—1221no—
1789C22—1221no—
1790C22—1221no—
1791C22—1221no—
1792C22—1221no—
1793C22—1221no—
1794C22—1221no—
1795C22—1221no—
1796C22—9762no—
1797C22—9762no—
1798C22—2441no—
1799C22—2441no—
1800C22—2441no—
1801C22C22×D4×D6111yescharacteristic
1802C4—21no—
1803C4—21no—
1804C4—21no—
1805C4—21no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—612no—
1812C4—1221no—
1813C4—1221no—
1814C4—1222no—
1815C4—1221no—
1816C4—1221no—
1817C4—2441no—
1818C4—2441no—
1819C4—2441no—
1820C4—2441no—
1821C4—2441no—
1822C4—2441no—
1823C4C2×#41×D6111yescharacteristic
1824C4H(5,𝔽2)×D6111yescharacteristic
1825C2—41no—
1826C2—41no—
1827C2—42no—
1828C2—81no—
1829C2—81no—
1830C2—1222no—
1831C2—4881no—
1832C2—2441no—
1833C2—2441no—
1834C2#546×D6111yescharacteristic
1835C2#2146059511yescharacteristic
1836C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3306C2
socleC22×C61C23×D4
hypercenter#3306D61
hypocenterC61#61222
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #21459729C2semidirect
2. #21459605C2semidirect
3. #21458011C2semidirect
4. #21458000C2semidirect
5. #21457979C2semidirect
6. #21457968C2semidirect
7. #21457933C2semidirect
8. #21457928C2semidirect
9. #21457901C2semidirect
10. #21457896C2semidirect
11. #21457887C2semidirect
12. #21457884C2semidirect
13. #21457855C2semidirect
14. #21457852C2semidirect
15. #21457817C2semidirect
16. #21457804C2semidirect
17. #21457785C2semidirect
18. #489×D61C2semidirect
19. #21455781C2semidirect
20. #21455776C2semidirect
21. #21455631C2semidirect
22. #21455503C2semidirect
23. #21455496C2semidirect
24. #21455308C2semidirect
25. #21455132C2semidirect
26. #21455118C2semidirect
27. #21454616C2semidirect
28. #21454533C2semidirect
29. #21454350C2semidirect
30. #21454340C2semidirect
31. C61×#3306C2semidirect
34. C2×#14519806C22semidirect
37. C2×#14519785C22semidirect
39. #16840486C22semidirect
40. #16840482C22semidirect
41. #16840476C22semidirect
42. #16840476C22semidirect
43. #16840467C22semidirect
44. #16840467C22semidirect
53. #16840417C22semidirect
64. #16840341C22semidirect
73. C4⋊Q8×D61C22semidirect
77. #16840243C22semidirect
79. C4×#11758224C22semidirect
80. #16840124C22semidirect
81. #16840123C22semidirect
82. #16840123C22semidirect
83. #16840122C22semidirect
84. #16840121C22semidirect
85. #16840120C22semidirect
86. #16840120C22semidirect
87. #16840106C22semidirect
88. #16840104C22semidirect
89. #16840101C22semidirect
90. #16840100C22semidirect
91. #16840097C22semidirect
92. #16840096C22semidirect
93. #16840094C22semidirect
94. #16840088C22semidirect
95. #16840087C22semidirect
96. #16840085C22semidirect
97. #16840083C22semidirect
98. #16840082C22semidirect
99. #16840075C22semidirect
100. #16840074C22semidirect
101. #16840058C22semidirect
102. #16840054C22semidirect
103. #16840052C22semidirect
104. #16840046C22semidirect
105. #16840046C22semidirect
106. #16840040C22semidirect
107. #16840040C22semidirect
108. #16840021C22semidirect
109. #16840018C22semidirect
110. #16840014C22semidirect
111. #16840008C22semidirect
112. #16840007C22semidirect
113. #16840006C22semidirect
114. #16840005C22semidirect
115. #16840003C22semidirect
116. #16840002C22semidirect
117. #16839996C22semidirect
118. #16839995C22semidirect
119. #16839992C22semidirect
120. #16839990C22semidirect
121. #16839989C22semidirect
122. #16839987C22semidirect
123. #16839985C22semidirect
124. #16839983C22semidirect
125. #16839981C22semidirect
126. #16839979C22semidirect
127. #16839977C22semidirect
128. #16839975C22semidirect
131. #16839925C22semidirect
132. #16839924C22semidirect
133. #16839920C22semidirect
134. #16839919C22semidirect
139. #16839904C22semidirect
140. #16839900C22semidirect
141. #16839899C22semidirect
143. #16839874C22semidirect
144. #16839870C22semidirect
145. #16839868C22semidirect
146. #16839862C22semidirect
147. #16839862C22semidirect
148. #16839859C22semidirect
149. #16839859C22semidirect
150. #16839836C22semidirect
151. #16839835C22semidirect
152. #16839834C22semidirect
153. #16839833C22semidirect
154. #16839832C22semidirect
155. #16839831C22semidirect
156. #16839830C22semidirect
157. #16839801C22semidirect
158. #16839801C22semidirect
159. #16839797C22semidirect
160. #16839784C22semidirect
161. #16839772C22semidirect
162. #16839769C22semidirect
163. #16839769C22semidirect
171. #16839760C22semidirect
173. #16839758C22semidirect
176. #16839755C22semidirect
177. #16839755C22semidirect
178. C2×#14519700C22semidirect
179. #103×D61C22semidirect
180. #103×D61C22semidirect
181. #103×D61C22semidirect
186. #16839727C22semidirect
187. #97×D61C22semidirect
188. C61×#547C22semidirect
190. C61×#489C22semidirect
191. C61×#483C22semidirect
192. C61×#481C22semidirect
193. C61×#476C22semidirect
194. C61×#469C22semidirect
195. C61×#465C22semidirect
196. C61×#463C22semidirect
197. C61×#449C22semidirect
199. C61×#442C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
554. #11758224#41semidirect
924. #3306D61semidirect
972. #547C2×D61semidirect
1007. #489C2×D61semidirect
1015. #483C2×D61semidirect
1021. #481C2×D61semidirect
1027. #476C2×D61semidirect
1035. #469C2×D61semidirect
1047. #465C2×D61semidirect
1055. #463C2×D61semidirect
1067. #449C2×D61semidirect
1073. #442C2×D61semidirect
1087. #435C2×D61semidirect
1103. #417C2×D61semidirect
1121. C61#61222semidirect

Maximal subgroups

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

subgroupindex
#214597292
#214596052
#214580112
#214580002
#214579792
#214579682
#214579332
#214579282
#214579012
#214578962
#214578872
#214578842
#214578552
#214578522
#214578172
#214578042
#214577852
#489×D612
#214557812
#214557762
#214556312
#214555032
#214554962
#214553082
#214551322
#214551182
#214546162
#214545332
#214543502
#214543402
C61×#33062
#6122261