Finite Group Databasebeta

← D61×#3225 #30551400

Subgroups — D61×#3225 #30551400

Order 15616.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1848 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#542×D61C211yesmaximal, characteristic, complemented
2#536×D61C211yesmaximal, characteristic, complemented
3#21456935C211yesmaximal, characteristic, complemented
4#21456934C211yesmaximal, characteristic, complemented
5#21456933C211yesmaximal, characteristic, complemented
6#21456932C211yesmaximal, characteristic, complemented
7#21456931C211yesmaximal, characteristic, complemented
8#21456930C211yesmaximal, characteristic, complemented
9#21456929C211yesmaximal, characteristic, complemented
10#21456928C211yesmaximal, characteristic, complemented
11#21456927C211yesmaximal, characteristic, complemented
12#21456926C211yesmaximal, characteristic, complemented
13#21456925C211yesmaximal, characteristic, complemented
14#21456924C211yesmaximal, characteristic, complemented
15#21456923C211yesmaximal, characteristic, complemented
16#21456922C211yesmaximal, characteristic, complemented
17#21456921C211yesmaximal, characteristic, complemented
18#497×D61C211yesmaximal, characteristic, complemented
19#495×D61C211yesmaximal, characteristic, complemented
20#489×D61C211yesmaximal, characteristic, complemented
21#487×D61C211yesmaximal, characteristic, complemented
22#464×D61C211yesmaximal, characteristic, complemented
23#462×D61C211yesmaximal, characteristic, complemented
24#463×D61C211yesmaximal, characteristic, complemented
25#461×D61C211yesmaximal, characteristic, complemented
26#452×D61C211yesmaximal, characteristic, complemented
27#449×D61C211yesmaximal, characteristic
28#451×D61C211yesmaximal, characteristic, complemented
29#448×D61C211yesmaximal, characteristic, complemented
30#433×D61C211yesmaximal, characteristic, complemented
31C61×#3225C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C22×Q8×D61C2211yescharacteristic
34C2×Q16×D61C2211yescharacteristic
35C2×Q16×D61C2211yescharacteristic
36C2×Q16×D61C2211yescharacteristic
37C2×SD16×D61C2211yescharacteristic
38C2×SD16×D61C2211yescharacteristic
39C2×SD16×D61C2211yescharacteristic
40C2×SD16×D61C2211yescharacteristic
41C2×D8×D61C2211yescharacteristic
42#16840386C2211yescharacteristic, complemented
43#16840385C2211yescharacteristic, complemented
44#16840384C2211yescharacteristic, complemented
45#16840383C2211yescharacteristic, complemented
46#16840382—21no—
47#16840381C2211yescharacteristic, complemented
48#16840380—21no—
49#16840379C2211yescharacteristic, complemented
50#16840378—21no—
51#16840377C2211yescharacteristic, complemented
52#16840376—21no—
53#16840338C2211yescharacteristic, complemented
54#16840337C2211yescharacteristic, complemented
55#16840337C2211yescharacteristic, complemented
56#16840336C2211yescharacteristic, complemented
57#16840335—21no—
58#16840335—21no—
59#16840334—21no—
60#16840334—21no—
61#16840333C2211yescharacteristic, complemented
62#16840332C2211yescharacteristic, complemented
63#16840332C2211yescharacteristic, complemented
64C4⋊Q8×D61C2211yescharacteristic
65C4⋊Q8×D61C2211yescharacteristic
66C4⋊Q8×D61C2211yescharacteristic
67#126×D61—21no—
68#124×D61—21no—
69#124×D61C2211yescharacteristic
70#124×D61C2211yescharacteristic
71#124×D61C2211yescharacteristic
72#123×D61—21no—
73#123×D61—21no—
74#123×D61—21no—
75C22⋊Q8×D61—21no—
76C22⋊Q8×D61—21no—
77C22⋊Q8×D61—21no—
78C22⋊Q8×D61C2211yescharacteristic
79#121×D61C2211yescharacteristic
80C4×Q8×D61C2211yescharacteristic
81C4×D4×D61C2211yescharacteristic
82#117×D61C2211yescharacteristic
83#16840157C2211yescharacteristic, complemented
84#16840156C2211yescharacteristic, complemented
85#16840155C2211yescharacteristic, complemented
86#16840155C2211yescharacteristic, complemented
87#16840154C2211yescharacteristic, complemented
88#16840153C2211yescharacteristic, complemented
89#16840153C2211yescharacteristic, complemented
90#16840147C2211yescharacteristic, complemented
91#16840146C2211yescharacteristic, complemented
92#16840145C2211yescharacteristic, complemented
93#16840144C2211yescharacteristic, complemented
94#16840144C2211yescharacteristic, complemented
95#16840143C2211yescharacteristic, complemented
96#16840143C2211yescharacteristic, complemented
97#16840124C2211yescharacteristic, complemented
98#16840123C2211yescharacteristic, complemented
99#16840123C2211yescharacteristic, complemented
100#16840122C2211yescharacteristic, complemented
101#16840121C2211yescharacteristic, complemented
102#16840120C2211yescharacteristic, complemented
103#16840120C2211yescharacteristic, complemented
104#16840114C2211yescharacteristic, complemented
105#16840113C2211yescharacteristic, complemented
106#16840112C2211yescharacteristic, complemented
107#16840111C2211yescharacteristic, complemented
108#16840111C2211yescharacteristic, complemented
109#16840111C2211yescharacteristic, complemented
110#16840111C2211yescharacteristic, complemented
111#16839987C2211yescharacteristic, complemented
112#16839986C2211yescharacteristic, complemented
113#16839985C2211yescharacteristic, complemented
114#16839984C2211yescharacteristic, complemented
115#16839983C2211yescharacteristic, complemented
116#16839982C2211yescharacteristic, complemented
117#16839981C2211yescharacteristic, complemented
118#16839980C2211yescharacteristic, complemented
119#16839979C2211yescharacteristic, complemented
120#16839978C2211yescharacteristic, complemented
121#16839977C2211yescharacteristic, complemented
122#16839976C2211yescharacteristic, complemented
123#16839975C2211yescharacteristic, complemented
124#16839974C2211yescharacteristic, complemented
125#16839973C2211yescharacteristic, complemented
126#16839972C2211yescharacteristic, complemented
127#16839971C2211yescharacteristic, complemented
128#16839971C2211yescharacteristic, complemented
129#16839970C2211yescharacteristic, complemented
130#16839970C2211yescharacteristic, complemented
131#16839969C2211yescharacteristic, complemented
132#16839968C2211yescharacteristic, complemented
133#16839967C2211yescharacteristic, complemented
134#16839966C2211yescharacteristic, complemented
135#16839966C2211yescharacteristic, complemented
136#16839965C2211yescharacteristic, complemented
137#16839965C2211yescharacteristic, complemented
138#16839964C2211yescharacteristic, complemented
139#16839927C2211yescharacteristic, complemented
140#16839926C2211yescharacteristic, complemented
141#16839925C2211yescharacteristic, complemented
142#16839924C2211yescharacteristic, complemented
143#16839923C2211yescharacteristic, complemented
144#16839922C2211yescharacteristic, complemented
145#16839921C2211yescharacteristic, complemented
146#16839920C2211yescharacteristic, complemented
147#16839919C2211yescharacteristic, complemented
148#16839919C2211yescharacteristic, complemented
149#16839918C2211yescharacteristic, complemented
150#16839917C2211yescharacteristic, complemented
151#16839916C2211yescharacteristic, complemented
152#16839916C2211yescharacteristic, complemented
153#16839910C2211yescharacteristic
154#16839909C2211yescharacteristic
155#16839908C2211yescharacteristic
156#16839907C2211yescharacteristic
157#16839906C2211yescharacteristic
158#16839905C2211yescharacteristic
159#16839904C2211yescharacteristic
160#16839903C2211yescharacteristic, complemented
161#16839902C2211yescharacteristic, complemented
162#16839902C2211yescharacteristic, complemented
163#16839901C2211yescharacteristic, complemented
164#16839900C2211yescharacteristic, complemented
165#16839899C2211yescharacteristic, complemented
166#16839899C2211yescharacteristic, complemented
167#16839824C2211yescharacteristic, complemented
168#16839823C2211yescharacteristic, complemented
169#16839822C2211yescharacteristic, complemented
170#16839822C2211yescharacteristic, complemented
171#16839821C2211yescharacteristic, complemented
172#16839820C2211yescharacteristic, complemented
173#16839820C2211yescharacteristic, complemented
174C4⋊C8×D61C2211yescharacteristic
175C4⋊C8×D61C2211yescharacteristic
176#103×D61C2211yescharacteristic
177#103×D61C2211yescharacteristic
178#103×D61C2211yescharacteristic
179#103×D61C2211yescharacteristic
180#103×D61C2211yescharacteristic
181#103×D61C2211yescharacteristic
182#102×D61C2211yescharacteristic
183#102×D61C2211yescharacteristic
184C22⋊C8×D61C2211yescharacteristic
185C22⋊C8×D61C2211yescharacteristic
186#97×D61C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic
188C61×#542C2211yescharacteristic, complemented
189C61×#536C2211yescharacteristic, complemented
190C61×#497C2211yescharacteristic, complemented
191C61×#495C2211yescharacteristic, complemented
192C61×#489C2211yescharacteristic, complemented
193C61×#487C2211yescharacteristic, complemented
194C61×#464C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic, complemented
196C61×#462C2211yescharacteristic, complemented
197C61×#461C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic, complemented
199C61×#451C2211yescharacteristic, complemented
200C61×#449C2211yescharacteristic
201C61×#448C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224C2311yescharacteristic
208#41×D61—42no—
209#41×D61—42no—
210C22×Dic122—21no—
211C22×Dic122C2311yescharacteristic
212C2×Q8×D61—21no—
213C2×Q8×D61—21no—
214C2×Q8×D61—21no—
215C2×Q8×D61—42no—
216C2×Q8×D61—42no—
217C2×Q8×D61C2311yescharacteristic
218C2×Q8×D61C2311yescharacteristic
219C2×Q8×D61C2311yescharacteristic
220C2×Q8×D61C2311yescharacteristic
221C2×Q8×D61C2311yescharacteristic
222C2×Q8×D61C2311yescharacteristic
223C2×D4×D61—21no—
224C2×D4×D61—21no—
225C2×D4×D61C2311yescharacteristic
226C2×D4×D61C2311yescharacteristic
227C22×C4×D61—21no—
228C22×C4×D61—21no—
229C22×C4×D61—21no—
230C22×C4×D61C2311yescharacteristic
231C2×Dic244C2311yescharacteristic
232C2×Dic244C2311yescharacteristic
233C2×Dic244C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758202C2311yescharacteristic
236C2×#11758202C2311yescharacteristic
237C2×#11758202C2311yescharacteristic
238C2×#11758202C2311yescharacteristic
239C2×#11758202C2311yescharacteristic
240Q16×D61—42no—
241Q16×D61—42no—
242Q16×D61—42no—
243C2×#11758190C2311yescharacteristic
244C2×#11758190C2311yescharacteristic
245C2×#11758190C2311yescharacteristic
246C2×#11758190C2311yescharacteristic
247C2×#11758200C2311yescharacteristic
248C2×#11758200C2311yescharacteristic
249C2×#11758200C2311yescharacteristic
250C2×#11758200C2311yescharacteristic
251C2×#11758201C2311yescharacteristic
252C2×#11758201C2311yescharacteristic
253C2×#11758201C2311yescharacteristic
254C2×#11758201C2311yescharacteristic
255SD16×D61—42no—
256SD16×D61—42no—
257SD16×D61—42no—
258SD16×D61—42no—
259C2×D488C2311yescharacteristic
260C2×#11758199C2311yescharacteristic
261C2×#11758199C2311yescharacteristic
262D8×D61—42no—
263C2×C8×D61C2311yescharacteristic
264C2×C8×D61C2311yescharacteristic
265C2×C8×D61C2311yescharacteristic
266C2×C8×D61C2311yescharacteristic
267#14519777C2311yescharacteristic
268#14519777C2311yescharacteristic
269#14519777C2311yescharacteristic
270#14519776—21no—
271#14519776—21no—
272#14519776—21no—
273#14519776—21no—
274#14519776—21no—
275#14519776C2311yescharacteristic
276#14519776C2311yescharacteristic
277#14519775—21no—
278#14519775C2311yescharacteristic
279#14519775C2311yescharacteristic
280#14519775C2311yescharacteristic
281#14519775C2311yescharacteristic
282#14519772—21no—
283#14519772—21no—
284#14519772—21no—
285#14519771—21no—
286#14519770—21no—
287#14519770—21no—
288#14519770—21no—
289#14519766—21no—
290#14519766C2311yescharacteristic
291#14519766C2311yescharacteristic
292#14519766C2311yescharacteristic
293#14519765—21no—
294#14519765C2311yescharacteristic
295#14519765C2311yescharacteristic
296#14519765C2311yescharacteristic
297#14519764—21no—
298#14519764C2311yescharacteristic
299#14519764C2311yescharacteristic
300#14519764C2311yescharacteristic
301#14519763—21no—
302#14519763—21no—
303#14519763—21no—
304#14519763—21no—
305#14519763—21no—
306#14519763—21no—
307#14519763—21no—
308#14519763—21no—
309#14519763—21no—
310#14519763—21no—
311#14519762—21no—
312#14519762—21no—
313#14519762—21no—
314#14519762—21no—
315#14519762—21no—
316#14519762—21no—
317#14519761—21no—
318#14519761—21no—
319#14519761—21no—
320#14519760—21no—
321#14519760—21no—
322#14519760—21no—
323#14519759—21no—
324#14519759—21no—
325#14519759—21no—
326#14519759—21no—
327#14519759—21no—
328#14519759—21no—
329#14519758—21no—
330#14519758—21no—
331#14519758—21no—
332#14519757—21no—
333#14519757—21no—
334#14519757—21no—
335#14519757C2311yescharacteristic
336#14519756—21no—
337#14519756—21no—
338#14519756—21no—
339#14519756C2311yescharacteristic
340#14519755—21no—
341#14519755—21no—
342#14519755—21no—
343#14519755—21no—
344#14519755—21no—
345#14519755—21no—
346#14519755—21no—
347#14519754—21no—
348#14519754—21no—
349#14519754—21no—
350#14519754—21no—
351#14519754—21no—
352#14519754—21no—
353#14519754—21no—
354#14519753—21no—
355#14519753—21no—
356#14519753—21no—
357#14519753C2311yescharacteristic
358#14519752C2311yescharacteristic
359#14519751C2311yescharacteristic
360#14519750—21no—
361#14519749—21no—
362#14519748C2311yescharacteristic
363Q8×Dic61C2311yescharacteristic
364C4×Dic122—21no—
365C4×Dic122C2311yescharacteristic
366#14519742—21no—
367#14519742C2311yescharacteristic
368C4×D244C2311yescharacteristic
369D4×Dic61C2311yescharacteristic
370#14519739C2311yescharacteristic
371C4×C22⋊D61—21no—
372#14519737—21no—
373#14519736C2311yescharacteristic
374#14519735D411yescharacteristic
375#14519735D411yescharacteristic
376#14519734C2311yescharacteristic
377#14519734C2311yescharacteristic
378#14519733D411yescharacteristic
379#14519733D411yescharacteristic
380C4⋊C4×D61—21no—
381C4⋊C4×D61—21no—
382C4⋊C4×D61—21no—
383C4⋊C4×D61—21no—
384C4⋊C4×D61—21no—
385C4⋊C4×D61—21no—
386C4⋊C4×D61—21no—
387C4⋊C4×D61D411yescharacteristic
388C4⋊C4×D61D411yescharacteristic
389C4⋊C4×D61C2311yescharacteristic
390C4⋊C4×D61C2311yescharacteristic
391C22⋊C4×D61—21no—
392C22⋊C4×D61—21no—
393C22⋊C4×D61—21no—
394C22⋊C4×D61—21no—
395C22⋊C4×D61—21no—
396C22⋊C4×D61—21no—
397C22⋊C4×D61—21no—
398C22⋊C4×D61—21no—
399C22⋊C4×D61—21no—
400C22⋊C4×D61D411yescharacteristic
401C22⋊C4×D61D411yescharacteristic
402C42×D61—21no—
403C42×D61C2311yescharacteristic
404C42×D61C2311yescharacteristic
405C4⋊#92418C2311yescharacteristic
406C4⋊#92418C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519706C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519702C2311yescharacteristic
416#14519702C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519701C2311yescharacteristic
420#14519701C2311yescharacteristic
421#14519701C2311yescharacteristic
422#14519701C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519700C2311yescharacteristic
426#14519700C2311yescharacteristic
427#14519700C2311yescharacteristic
428#14519700C2311yescharacteristic
429#14519699C2311yescharacteristic
430#14519699C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519698C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519687C2311yescharacteristic
443#14519687C2311yescharacteristic
444C4×#92418C2311yescharacteristic
445C8×Dic61C2311yescharacteristic
446C8×Dic61C2311yescharacteristic
447C2×#41×C61C2311yescharacteristic
448C22×Q8×C61C2311yescharacteristic
449C2×Q16×C61C2311yescharacteristic
450C2×Q16×C61C2311yescharacteristic
451C2×Q16×C61C2311yescharacteristic
452C2×SD16×C61C2311yescharacteristic
453C2×SD16×C61C2311yescharacteristic
454C2×SD16×C61C2311yescharacteristic
455C2×SD16×C61C2311yescharacteristic
456C2×D8×C61C2311yescharacteristic
457C4⋊Q8×C61C2311yescharacteristic
458C4⋊Q8×C61C2311yescharacteristic
459C4⋊Q8×C61C2311yescharacteristic
460#126×C61—21no—
461#124×C61—21no—
462#124×C61C2311yescharacteristic
463#124×C61C2311yescharacteristic
464#124×C61C2311yescharacteristic
465#123×C61—21no—
466#123×C61—21no—
467#123×C61—21no—
468C22⋊Q8×C61—21no—
469C22⋊Q8×C61—21no—
470C22⋊Q8×C61—21no—
471C22⋊Q8×C61C2311yescharacteristic
472#121×C61C2311yescharacteristic
473C4×Q8×C61C2311yescharacteristic
474C4×D4×C61C2311yescharacteristic
475#117×C61C2311yescharacteristic
476C4⋊C8×C61C2311yescharacteristic
477C4⋊C8×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#103×C61C2311yescharacteristic
483#103×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486C22⋊C8×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488#97×C61C2311yescharacteristic
489C4×C8×C61C2311yescharacteristic
490C23×D61—21no—
491C23×D61—21no—
492C23×D61C2×D411yescharacteristic
493#41×C61—41no—
494#41×C61—41no—
495C2×Q8×C61—21no—
496C2×Q8×C61—21no—
497C2×Q8×C61—41no—
498C2×Q8×C61—41no—
499C2×Q8×C61C2411yescharacteristic
500C2×Q8×C61C2411yescharacteristic
501C2×Q8×C61C2411yescharacteristic
502C2×Q8×C61C2411yescharacteristic
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61C2411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61C2411yescharacteristic
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61C2×D411yescharacteristic
521#11758226—41no—
522#11758226—41no—
523Q8×D61—22no—
524Q8×D61—22no—
525Q8×D61—22no—
526Q8×D61—22no—
527Q8×D61—22no—
528Q8×D61—22no—
529Q8×D61—22no—
530Q8×D61—22no—
531Q8×D61—41no—
532Q8×D61—41no—
533Q8×D61—41no—
534Q8×D61—41no—
535Q8×D61—44no—
536Q8×D61—44no—
537Q8×D61—82no—
538#11758224—41no—
539#11758224—41no—
540#11758224—44no—
541D4×D61—22no—
542D4×D61—22no—
543D4×D61—22no—
544D4×D61—22no—
545D4×D61—44no—
546D4×D61—82no—
547#11758222—41no—
548#11758222—41no—
549#11758222—44no—
550C2×D244—21no—
551C2×D244—21no—
552C2×D244C2411yescharacteristic
553C2×D244C2411yescharacteristic
554C2×C4×D61—22no—
555C2×C4×D61—22no—
556C2×C4×D61—21no—
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61—21no—
565C2×C4×D61—21no—
566C2×C4×D61—21no—
567C2×C4×D61—21no—
568C2×C4×D61—44no—
569C2×C4×D61—44no—
570C2×C4×D61—82no—
571C2×C4×D61C2×D411yescharacteristic
572C2×C4×D61C2×D411yescharacteristic
573C2×C4×D61C2×D411yescharacteristic
574C2×C4×D61C2×D411yescharacteristic
575C2×C4×D61C2×D411yescharacteristic
576C2×C4×D61C2×D411yescharacteristic
577C2×C4×D61C2411yescharacteristic
578C2×C4×D61C2411yescharacteristic
579C2×Dic122—21no—
580C2×Dic122—21no—
581C2×Dic122—21no—
582C2×Dic122—21no—
583C2×Dic122—21no—
584C2×Dic122—21no—
585C2×Dic122—21no—
586C2×Dic122—21no—
587C2×Dic122—21no—
588C2×Dic122—21no—
589C2×Dic122—41no—
590C2×Dic122—41no—
591C2×Dic122—44no—
592C2×Dic122C2411yescharacteristic
593C2×Dic122C2411yescharacteristic
594C2×Dic122C2411yescharacteristic
595C2×Dic122C2411yescharacteristic
596Q16×C61—41no—
597Q16×C61—41no—
598Q16×C61—41no—
599SD16×C61—41no—
600SD16×C61—41no—
601SD16×C61—41no—
602SD16×C61—41no—
603D8×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×C61—21no—
613C4⋊C4×C61—21no—
614C4⋊C4×C61—21no—
615C4⋊C4×C61C2×D411yescharacteristic
616C4⋊C4×C61C2×D411yescharacteristic
617C4⋊C4×C61C2411yescharacteristic
618C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
626C22⋊C4×C61—21no—
627C22⋊C4×C61—21no—
628C22⋊C4×C61C2×D411yescharacteristic
629C22⋊C4×C61C2×D411yescharacteristic
630C42×C61—21no—
631C42×C61C2411yescharacteristic
632C42×C61C2411yescharacteristic
633C22⋊Dic61—21no—
634C22⋊Dic61—21no—
635C22⋊Dic61—21no—
636C22⋊Dic61—21no—
637C22⋊Dic61—21no—
638C22⋊Dic61—21no—
639C22⋊Dic61—21no—
640C22⋊Dic61—21no—
641C22⋊Dic61—21no—
642C22⋊Dic61C2×D411yescharacteristic
643C22⋊Dic61C2×D411yescharacteristic
644#11758202—41no—
645#11758202—41no—
646#11758202—41no—
647#11758202—41no—
648#11758202—41no—
649#11758202—41no—
650#11758201—41no—
651#11758201—41no—
652#11758201—41no—
653#11758201—41no—
654#11758200—41no—
655#11758200—41no—
656#11758200—41no—
657#11758200—41no—
658#11758199—41no—
659#11758199—41no—
660#11758198—21no—
661#11758198—21no—
662#11758198—21no—
663#11758198—21no—
664#11758198—21no—
665#11758198—21no—
666#11758198—21no—
667#11758198—21no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198—21no—
672#11758198—21no—
673#11758198—21no—
674#11758198—21no—
675#11758198—21no—
676#11758198—21no—
677#11758198—21no—
678#11758198C2×D411yescharacteristic
679#11758198C2×D411yescharacteristic
680#11758198C2×D411yescharacteristic
681#11758198C2×D411yescharacteristic
682C4⋊Dic61—21no—
683C4⋊Dic61—21no—
684C4⋊Dic61—21no—
685C4⋊Dic61—21no—
686C4⋊Dic61—21no—
687C4⋊Dic61—21no—
688C4⋊Dic61—21no—
689C4⋊Dic61C2×D411yescharacteristic
690C4⋊Dic61C2×D411yescharacteristic
691C4⋊Dic61C2411yescharacteristic
692C4⋊Dic61C2411yescharacteristic
693#11758196—21no—
694#11758196—21no—
695#11758196—21no—
696#11758196—21no—
697#11758196—21no—
698#11758196—21no—
699#11758196—21no—
700#11758196—21no—
701#11758196—21no—
702#11758196—21no—
703#11758196—21no—
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196—21no—
708#11758196—21no—
709#11758196C2×D411yescharacteristic
710#11758196C2×D411yescharacteristic
711#11758196C2×D411yescharacteristic
712#11758196C2×D411yescharacteristic
713C4×Dic61—21no—
714C4×Dic61—21no—
715C4×Dic61—21no—
716C4×Dic61C2×D411yescharacteristic
717C4×Dic61C2×D411yescharacteristic
718C4×Dic61C2×D411yescharacteristic
719C4×Dic61C2×D411yescharacteristic
720C4×Dic61C2411yescharacteristic
721C4×Dic61C2411yescharacteristic
722C2×#92418C2411yescharacteristic
723C2×#92418C2411yescharacteristic
724C2×#92418C2411yescharacteristic
725C2×#92418C2411yescharacteristic
726Dic244—41no—
727Dic244—41no—
728Dic244—41no—
729D488—41no—
730#11758190—41no—
731#11758190—41no—
732#11758190—41no—
733#11758190—41no—
734C8×D61—22no—
735C8×D61—22no—
736C8×D61—22no—
737C8×D61—22no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61C22×D411yescharacteristic
741C22×D61—22no—
742C22×D61—22no—
743C22×D61—22no—
744C22×D61—21no—
745C22×D61—21no—
746C22×D61—42no—
747C22×D61—42no—
748C22×D61—42no—
749C22×D61—42no—
750C22×D61—42no—
751C22×D61—42no—
752C22×D61C22×D411yescharacteristic
753C22×D61C22×D411yescharacteristic
754Q8×C61—21no—
755Q8×C61—21no—
756Q8×C61—21no—
757Q8×C61—21no—
758Q8×C61—21no—
759Q8×C61—21no—
760Q8×C61—21no—
761Q8×C61—21no—
762Q8×C61—42no—
763Q8×C61—81no—
764D4×C61—21no—
765D4×C61—21no—
766D4×C61—21no—
767D4×C61—21no—
768D4×C61—42no—
769D4×C61—81no—
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—42no—
779C2×C4×C61—42no—
780C2×C4×C61—81no—
781C2×C4×C61C22×D411yescharacteristic
782C2×C4×C61C22×D411yescharacteristic
783C2×C4×C61C22×D411yescharacteristic
784C2×C4×C61C22×D411yescharacteristic
785C2×C4×C61C22×D411yescharacteristic
786C2×C4×C61C2511yescharacteristic
787C22⋊D61—42no—
788C22⋊D61—42no—
789C22⋊D61—42no—
790C22⋊D61—42no—
791C22⋊D61—81no—
792C22⋊D61—81no—
793C2×Dic61—22no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—21no—
797C2×Dic61—21no—
798C2×Dic61—21no—
799C2×Dic61—21no—
800C2×Dic61—42no—
801C2×Dic61—42no—
802C2×Dic61—81no—
803C2×Dic61C22×D411yescharacteristic
804C2×Dic61C22×D411yescharacteristic
805C2×Dic61C22×D411yescharacteristic
806C2×Dic61C22×D411yescharacteristic
807C2×Dic61C22×D411yescharacteristic
808C2×Dic61C22×D411yescharacteristic
809D244—21no—
810D244—21no—
811D244—21no—
812D244—21no—
813D244—42no—
814D244—81no—
815C4×D61—22no—
816C4×D61—22no—
817C4×D61—22no—
818C4×D61—22no—
819C4×D61—22no—
820C4×D61—21no—
821C4×D61—21no—
822C4×D61—22no—
823C4×D61—42no—
824C4×D61—42no—
825C4×D61—42no—
826C4×D61—42no—
827C4×D61—42no—
828C4×D61—42no—
829C4×D61—42no—
830C4×D61—42no—
831C4×D61—42no—
832C4×D61—42no—
833C4×D61—81no—
834C4×D61—81no—
835C4×D61H(5,𝔽2)12yes—
836C4×D61H(5,𝔽2)12yes—
837Dic122—21no—
838Dic122—21no—
839Dic122—21no—
840Dic122—21no—
841Dic122—21no—
842Dic122—21no—
843Dic122—21no—
844Dic122—21no—
845Dic122—42no—
846Dic122—42no—
847Dic122—42no—
848Dic122—42no—
849Dic122—42no—
850Dic122—42no—
851Dic122—42no—
852Dic122—81no—
853Dic122—81no—
854Dic122—81no—
855C8×C61—21no—
856C8×C61—21no—
857C8×C61—21no—
858C8×C61—21no—
859#92418—21no—
860#92418—21no—
861#92418—21no—
862#92418—21no—
863C2×#3225—611nomaximal, Sylow
864C22×C61—21no—
865C22×C61—21no—
866C22×C61—21no—
867C22×C61—41no—
868C22×C61—41no—
869C22×C61—41no—
870C22×C61—41no—
871C22×C61—41no—
872C22×C61—41no—
873C22×C61C23×D411yescharacteristic
874C2×D61—21no—
875C2×D61—21no—
876C2×D61—21no—
877C2×D61—44no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—41no—
881C2×D61—41no—
882C2×D61—41no—
883C2×D61—41no—
884C2×D61—84no—
885C2×D61—84no—
886C2×D61#53512yes—
887C2×D61#57712yes—
888C2×D61#57812yes—
889C4×C61—21no—
890C4×C61—21no—
891C4×C61—21no—
892C4×C61—21no—
893C4×C61—21no—
894C4×C61—41no—
895C4×C61—41no—
896C4×C61—41no—
897C4×C61—41no—
898C4×C61—41no—
899C4×C61—41no—
900C4×C61C2×H(5,𝔽2)11yescharacteristic
901C4×C61C2×H(5,𝔽2)11yescharacteristic
902Dic61—21no—
903Dic61—21no—
904Dic61—21no—
905Dic61—21no—
906Dic61—21no—
907Dic61—41no—
908Dic61—41no—
909Dic61—41no—
910Dic61—41no—
911Dic61—41no—
912Dic61—41no—
913Dic61#53512yes—
914C2×#542—611no—
915C2×#536—611no—
916#3225—611no—
917#3225—611no—
918#3225—611no—
919#3225—611no—
920#3225—611no—
921#3225—611no—
922#3225—611no—
923#3225—611no—
924#3225—611no—
925#3225—611no—
926#3225—611no—
927#3225—611no—
928#3225—611no—
929#3225—611no—
930#3225—611no—
931#3225D6111yescharacteristic, direct product factor
932C2×#497—611no—
933C2×#495—611no—
934C2×#489—611no—
935C2×#487—611no—
936C2×#464—611no—
937C2×#462—611no—
938C2×#463—611no—
939C2×#461—611no—
940C2×#452—611no—
941C2×#449—611no—
942C2×#451—611no—
943C2×#448—611no—
944C2×#433—611no—
945C2×C61—41no—
946C2×C61—81no—
947C2×C61—81no—
948C2×C61C2×#53511yescharacteristic
949C2×C61C2×#57711yescharacteristic
950C2×C61C2×#57811yescharacteristic
951D61—41no—
952D61—81no—
953D61—81no—
954D61#322514yesdirect product factor
955C22×#41—611no—
956C23×Q8—611no—
957C22×Q16—611no—
958C22×Q16—611no—
959C22×Q16—611no—
960C22×SD16—611no—
961C22×SD16—611no—
962C22×SD16—611no—
963C22×SD16—611no—
964C22×D8—611no—
965#542—611no—
966#542—611no—
967#542—611no—
968#542—611no—
969#542—611no—
970#542—611no—
971#542—611no—
972#542—1221no—
973#542—1221no—
974#542—1221no—
975#542—1221no—
976#542C2×D6111yescharacteristic, complemented
977#536—611no—
978#536—611no—
979#536—611no—
980#536—611no—
981#536—611no—
982#536—611no—
983#536—611no—
984#536—1221no—
985#536—1221no—
986#536—1221no—
987#536—1221no—
988#536C2×D6111yescharacteristic, complemented
989C2×C4⋊Q8—611no—
990C2×C4⋊Q8—611no—
991C2×C4⋊Q8—611no—
992C2×#126—1221no—
993C2×#124—611no—
994C2×#124—611no—
995C2×#124—611no—
996C2×#124—1221no—
997C2×#123—1221no—
998C2×#123—1221no—
999C2×#123—1221no—
1000C2×C22⋊Q8—611no—
1001C2×C22⋊Q8—1221no—
1002C2×C22⋊Q8—1221no—
1003C2×C22⋊Q8—1221no—
1004C2×#121—611no—
1005C2×C4×Q8—611no—
1006C2×C4×D4—611no—
1007C2×#117—611no—
1008#497—611no—
1009#497—611no—
1010#497—611no—
1011#497—611no—
1012#497—611no—
1013#497—611no—
1014#497—611no—
1015#497C2×D6111yescharacteristic, complemented
1016#495—611no—
1017#495—611no—
1018#495—611no—
1019#495—611no—
1020#495—611no—
1021#495—611no—
1022#495—611no—
1023#495C2×D6111yescharacteristic, complemented
1024#489—611no—
1025#489—611no—
1026#489—611no—
1027#489—611no—
1028#489—611no—
1029#489—611no—
1030#489—611no—
1031#489C2×D6111yescharacteristic, complemented
1032#487—611no—
1033#487—611no—
1034#487—611no—
1035#487—611no—
1036#487—611no—
1037#487—611no—
1038#487—611no—
1039#487C2×D6111yescharacteristic, complemented
1040#464—611no—
1041#464—611no—
1042#464—611no—
1043#464—611no—
1044#464—611no—
1045#464—611no—
1046#464—611no—
1047#464C2×D6111yescharacteristic, complemented
1048#463—611no—
1049#463—611no—
1050#463—611no—
1051#463—611no—
1052#463—611no—
1053#463—611no—
1054#463—611no—
1055#463C2×D6111yescharacteristic, complemented
1056#462—611no—
1057#462—611no—
1058#462—611no—
1059#462—611no—
1060#462—611no—
1061#462—611no—
1062#462—611no—
1063#462C2×D6111yescharacteristic, complemented
1064#461—611no—
1065#461—611no—
1066#461—611no—
1067#461—611no—
1068#461—611no—
1069#461—611no—
1070#461—611no—
1071#461C2×D6111yescharacteristic, complemented
1072#452—611no—
1073#452—611no—
1074#452—611no—
1075#452—611no—
1076#452—611no—
1077#452—611no—
1078#452—611no—
1079#452C2×D6111yescharacteristic, complemented
1080#451—611no—
1081#451—611no—
1082#451—611no—
1083#451—611no—
1084#451—611no—
1085#451—611no—
1086#451—611no—
1087#451C2×D6111yescharacteristic, complemented
1088#449—611no—
1089#449—611no—
1090#449—611no—
1091#449—611no—
1092#449—611no—
1093#449—611no—
1094#449—611no—
1095#449C2×D6111yescharacteristic
1096#448—611no—
1097#448—611no—
1098#448—611no—
1099#448—611no—
1100#448—611no—
1101#448—611no—
1102#448—611no—
1103#448C2×D6111yescharacteristic, complemented
1104#433—611no—
1105#433—611no—
1106#433—611no—
1107#433—611no—
1108#433—611no—
1109#433—611no—
1110#433—611no—
1111#433C2×D6111yescharacteristic, complemented
1112C2×C4⋊C8—611no—
1113C2×C4⋊C8—611no—
1114C2×#103—611no—
1115C2×#103—611no—
1116C2×#103—611no—
1117C2×#103—611no—
1118C2×#103—611no—
1119C2×#103—611no—
1120C2×#102—611no—
1121C2×#102—611no—
1122C2×C22⋊C8—611no—
1123C2×C22⋊C8—611no—
1124C2×#97—611no—
1125C2×C4×C8—611no—
1126C61C2×#322511yescharacteristic, complemented, Sylow
1127C2×#41—611no—
1128C2×#41—611no—
1129C2×#41—611no—
1130C2×#41—1221no—
1131C2×#41—1221no—
1132C2×#41—2442no—
1133C2×#41—2442no—
1134C2×#41C22×D6111yescharacteristic
1135C22×Q8—611no—
1136C22×Q8—611no—
1137C22×Q8—611no—
1138C22×Q8—611no—
1139C22×Q8—611no—
1140C22×Q8—611no—
1141C22×Q8—611no—
1142C22×Q8—1221no—
1143C22×Q8—1221no—
1144C22×Q8—1221no—
1145C22×Q8—1221no—
1146C22×Q8—2442no—
1147C22×Q8—2442no—
1148C22×Q8C22×D6111yescharacteristic
1149C22×D4—611no—
1150C22×D4—611no—
1151C22×D4—1221no—
1152C22×D4—1221no—
1153C23×C4—611no—
1154C23×C4—1221no—
1155C23×C4—1221no—
1156C23×C4—1221no—
1157C2×Q16—611no—
1158C2×Q16—611no—
1159C2×Q16—611no—
1160C2×Q16—611no—
1161C2×Q16—611no—
1162C2×Q16—611no—
1163C2×Q16—611no—
1164C2×Q16—611no—
1165C2×Q16—611no—
1166C2×Q16—2442no—
1167C2×Q16—2442no—
1168C2×Q16—2442no—
1169C2×Q16C22×D6111yescharacteristic
1170C2×Q16C22×D6111yescharacteristic
1171C2×Q16C22×D6111yescharacteristic
1172C2×SD16—611no—
1173C2×SD16—611no—
1174C2×SD16—611no—
1175C2×SD16—611no—
1176C2×SD16—611no—
1177C2×SD16—611no—
1178C2×SD16—611no—
1179C2×SD16—611no—
1180C2×SD16—611no—
1181C2×SD16—611no—
1182C2×SD16—611no—
1183C2×SD16—611no—
1184C2×SD16—2442no—
1185C2×SD16—2442no—
1186C2×SD16—2442no—
1187C2×SD16—2442no—
1188C2×SD16C22×D6111yescharacteristic
1189C2×SD16C22×D6111yescharacteristic
1190C2×SD16C22×D6111yescharacteristic
1191C2×SD16C22×D6111yescharacteristic
1192C2×D8—611no—
1193C2×D8—611no—
1194C2×D8—611no—
1195C2×D8—2442no—
1196C2×D8C22×D6111yescharacteristic
1197C22×C8—611no—
1198C22×C8—611no—
1199C22×C8—611no—
1200C22×C8—611no—
1201C4⋊Q8—611no—
1202C4⋊Q8—611no—
1203C4⋊Q8—611no—
1204C4⋊Q8—611no—
1205C4⋊Q8—611no—
1206C4⋊Q8—611no—
1207C4⋊Q8—611no—
1208C4⋊Q8—611no—
1209C4⋊Q8—611no—
1210C4⋊Q8—1221no—
1211C4⋊Q8—1221no—
1212C4⋊Q8—1221no—
1213C4⋊Q8—1221no—
1214C4⋊Q8—1221no—
1215C4⋊Q8—1221no—
1216C4⋊Q8C22×D6111yescharacteristic
1217C4⋊Q8C22×D6111yescharacteristic
1218C4⋊Q8C22×D6111yescharacteristic
1219#126—21no—
1220#126—1221no—
1221#126—1221no—
1222#126—1221no—
1223#126—1221no—
1224#126—1221no—
1225#126—1221no—
1226#126—1221no—
1227#124—21no—
1228#124—611no—
1229#124—611no—
1230#124—611no—
1231#124—611no—
1232#124—611no—
1233#124—611no—
1234#124—611no—
1235#124—611no—
1236#124—611no—
1237#124—1221no—
1238#124—1221no—
1239#124—1221no—
1240#124—1221no—
1241#124—1221no—
1242#124—1221no—
1243#124—1221no—
1244#124—1221no—
1245#124—1221no—
1246#124—1221no—
1247#124—1221no—
1248#124—1221no—
1249#124—1221no—
1250#124C22×D6111yescharacteristic
1251#124C22×D6111yescharacteristic
1252#124C22×D6111yescharacteristic
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—1221no—
1257#123—1221no—
1258#123—1221no—
1259#123—1221no—
1260#123—1221no—
1261#123—1221no—
1262#123—1221no—
1263#123—1221no—
1264#123—1221no—
1265#123—1221no—
1266#123—1221no—
1267#123—1221no—
1268#123—1221no—
1269#123—1221no—
1270#123—1221no—
1271#123—1221no—
1272#123—1221no—
1273#123—1221no—
1274#123—1221no—
1275#123—1221no—
1276#123—1221no—
1277C22⋊Q8—21no—
1278C22⋊Q8—21no—
1279C22⋊Q8—21no—
1280C22⋊Q8—611no—
1281C22⋊Q8—611no—
1282C22⋊Q8—611no—
1283C22⋊Q8—1221no—
1284C22⋊Q8—1221no—
1285C22⋊Q8—1221no—
1286C22⋊Q8—1221no—
1287C22⋊Q8—1221no—
1288C22⋊Q8—1221no—
1289C22⋊Q8—1221no—
1290C22⋊Q8—1221no—
1291C22⋊Q8—1221no—
1292C22⋊Q8—1221no—
1293C22⋊Q8—1221no—
1294C22⋊Q8—1221no—
1295C22⋊Q8—1221no—
1296C22⋊Q8—1221no—
1297C22⋊Q8—1221no—
1298C22⋊Q8—1221no—
1299C22⋊Q8—1221no—
1300C22⋊Q8—1221no—
1301C22⋊Q8—1221no—
1302C22⋊Q8—1221no—
1303C22⋊Q8—1221no—
1304C22⋊Q8—1221no—
1305C22⋊Q8—1221no—
1306C22⋊Q8C22×D6111yescharacteristic
1307#121—611no—
1308#121—611no—
1309#121—611no—
1310#121—1221no—
1311#121—1221no—
1312#121C22×D6111yescharacteristic
1313C4×Q8—611no—
1314C4×Q8—611no—
1315C4×Q8—611no—
1316C4×Q8—1221no—
1317C4×Q8—1221no—
1318C4×Q8C22×D6111yescharacteristic
1319C4×D4—611no—
1320C4×D4—611no—
1321C4×D4—611no—
1322C4×D4—1221no—
1323C4×D4—1221no—
1324C4×D4C22×D6111yescharacteristic
1325#117—611no—
1326#117—611no—
1327#117—611no—
1328#117—611no—
1329#117—611no—
1330#117—611no—
1331#117—611no—
1332#117C22×D6111yescharacteristic
1333C2×C4⋊C4—611no—
1334C2×C4⋊C4—611no—
1335C2×C4⋊C4—611no—
1336C2×C4⋊C4—611no—
1337C2×C4⋊C4—1221no—
1338C2×C4⋊C4—1221no—
1339C2×C4⋊C4—1221no—
1340C2×C4⋊C4—1221no—
1341C2×C4⋊C4—1221no—
1342C2×C4⋊C4—1221no—
1343C2×C4⋊C4—1221no—
1344C2×C22⋊C4—611no—
1345C2×C22⋊C4—611no—
1346C2×C22⋊C4—1221no—
1347C2×C22⋊C4—1221no—
1348C2×C22⋊C4—1221no—
1349C2×C22⋊C4—1221no—
1350C2×C22⋊C4—1221no—
1351C2×C22⋊C4—1221no—
1352C2×C22⋊C4—1221no—
1353C2×C22⋊C4—1221no—
1354C2×C22⋊C4—1221no—
1355C2×C42—611no—
1356C2×C42—611no—
1357C2×C42—1221no—
1358C4⋊C8—611no—
1359C4⋊C8—611no—
1360C4⋊C8—611no—
1361C4⋊C8—611no—
1362C4⋊C8—611no—
1363C4⋊C8—611no—
1364C4⋊C8C22×D6111yescharacteristic
1365C4⋊C8C22×D6111yescharacteristic
1366#103—611no—
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#103—611no—
1380#103—611no—
1381#103—611no—
1382#103—611no—
1383#103—611no—
1384#103C22×D6111yescharacteristic
1385#103C22×D6111yescharacteristic
1386#103C22×D6111yescharacteristic
1387#103C22×D6111yescharacteristic
1388#103C22×D6111yescharacteristic
1389#103C22×D6111yescharacteristic
1390#102—611no—
1391#102—611no—
1392#102—611no—
1393#102—611no—
1394#102—611no—
1395#102—611no—
1396#102C22×D6111yescharacteristic
1397#102C22×D6111yescharacteristic
1398C22⋊C8—611no—
1399C22⋊C8—611no—
1400C22⋊C8—611no—
1401C22⋊C8—611no—
1402C22⋊C8—611no—
1403C22⋊C8—611no—
1404C22⋊C8C22×D6111yescharacteristic
1405C22⋊C8C22×D6111yescharacteristic
1406#97—611no—
1407#97—611no—
1408#97—611no—
1409#97C22×D6111yescharacteristic
1410C4×C8—611no—
1411C4×C8—611no—
1412C4×C8—611no—
1413C4×C8C22×D6111yescharacteristic
1414C24—611no—
1415C24—1221no—
1416C24—1221no—
1417#41—41no—
1418#41—41no—
1419#41—2441no—
1420#41—2441no—
1421#41—2444no—
1422#41—2441no—
1423#41—2441no—
1424#41—2444no—
1425#41—2441no—
1426#41—2441no—
1427C2×Q8—21no—
1428C2×Q8—21no—
1429C2×Q8—41no—
1430C2×Q8—41no—
1431C2×Q8—611no—
1432C2×Q8—611no—
1433C2×Q8—611no—
1434C2×Q8—611no—
1435C2×Q8—1221no—
1436C2×Q8—1221no—
1437C2×Q8—1221no—
1438C2×Q8—1221no—
1439C2×Q8—1221no—
1440C2×Q8—1221no—
1441C2×Q8—1221no—
1442C2×Q8—1221no—
1443C2×Q8—1222no—
1444C2×Q8—1222no—
1445C2×Q8—1222no—
1446C2×Q8—1222no—
1447C2×Q8—1222no—
1448C2×Q8—1222no—
1449C2×Q8—1222no—
1450C2×Q8—1222no—
1451C2×Q8—1221no—
1452C2×Q8—1221no—
1453C2×Q8—4882no—
1454C2×Q8—2441no—
1455C2×Q8—2441no—
1456C2×Q8—2444no—
1457C2×Q8—2441no—
1458C2×Q8—2441no—
1459C2×Q8—2441no—
1460C2×Q8—2441no—
1461C2×Q8—2444no—
1462C2×Q8—2444no—
1463C2×Q8C23×D6111yescharacteristic
1464C2×Q8C23×D6111yescharacteristic
1465C2×Q8C23×D6111yescharacteristic
1466C2×Q8C23×D6111yescharacteristic
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—611no—
1470C2×D4—611no—
1471C2×D4—1221no—
1472C2×D4—1221no—
1473C2×D4—1222no—
1474C2×D4—1222no—
1475C2×D4—1222no—
1476C2×D4—1222no—
1477C2×D4—1221no—
1478C2×D4—1221no—
1479C2×D4—1221no—
1480C2×D4—1221no—
1481C2×D4—1221no—
1482C2×D4—1221no—
1483C2×D4—4882no—
1484C2×D4—2444no—
1485C2×D4C23×D6111yescharacteristic
1486C2×D4C23×D6111yescharacteristic
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—611no—
1491C22×C4—611no—
1492C22×C4—611no—
1493C22×C4—611no—
1494C22×C4—611no—
1495C22×C4—611no—
1496C22×C4—611no—
1497C22×C4—611no—
1498C22×C4—611no—
1499C22×C4—1222no—
1500C22×C4—1222no—
1501C22×C4—1221no—
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×C4—4882no—
1517C22×C4—2444no—
1518C22×C4—2444no—
1519C22×C4C23×D6111yescharacteristic
1520Q16—41no—
1521Q16—41no—
1522Q16—41no—
1523Q16—2441no—
1524Q16—2441no—
1525Q16—2441no—
1526Q16—2441no—
1527Q16—2441no—
1528Q16—2441no—
1529Q16—2441no—
1530Q16—2441no—
1531Q16—2441no—
1532SD16—41no—
1533SD16—41no—
1534SD16—41no—
1535SD16—41no—
1536SD16—2441no—
1537SD16—2441no—
1538SD16—2441no—
1539SD16—2441no—
1540SD16—2441no—
1541SD16—2441no—
1542SD16—2441no—
1543SD16—2441no—
1544SD16—2441no—
1545SD16—2441no—
1546SD16—2441no—
1547SD16—2441no—
1548D8—41no—
1549D8—2441no—
1550D8—2441no—
1551D8—2441no—
1552C2×C8—611no—
1553C2×C8—611no—
1554C2×C8—611no—
1555C2×C8—611no—
1556C2×C8—1222no—
1557C2×C8—1222no—
1558C2×C8—1222no—
1559C2×C8—1222no—
1560C2×C8C23×D6111yescharacteristic
1561C2×C8C23×D6111yescharacteristic
1562C2×C8C23×D6111yescharacteristic
1563C2×C8C23×D6111yescharacteristic
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—611no—
1572C4⋊C4—611no—
1573C4⋊C4—611no—
1574C4⋊C4—611no—
1575C4⋊C4—611no—
1576C4⋊C4—611no—
1577C4⋊C4—611no—
1578C4⋊C4—611no—
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⋊C4—1221no—
1600C4⋊C4—1221no—
1601C4⋊C4—1221no—
1602C4⋊C4D4×D6111yescharacteristic
1603C4⋊C4D4×D6111yescharacteristic
1604C4⋊C4C23×D6111yescharacteristic
1605C4⋊C4C23×D6111yescharacteristic
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—611no—
1616C22⋊C4—611no—
1617C22⋊C4—611no—
1618C22⋊C4—611no—
1619C22⋊C4—611no—
1620C22⋊C4—611no—
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⋊C4—1221no—
1643C22⋊C4—1221no—
1644C22⋊C4—1221no—
1645C22⋊C4—1221no—
1646C22⋊C4—1221no—
1647C22⋊C4—1221no—
1648C22⋊C4D4×D6111yescharacteristic
1649C22⋊C4D4×D6111yescharacteristic
1650C42—21no—
1651C42—611no—
1652C42—611no—
1653C42—611no—
1654C42—611no—
1655C42—611no—
1656C42—611no—
1657C42—1221no—
1658C42—1221no—
1659C42—1221no—
1660C42C23×D6111yescharacteristic
1661C42C23×D6111yescharacteristic
1662C23—21no—
1663C23—21no—
1664C23—611no—
1665C23—611no—
1666C23—1222no—
1667C23—1222no—
1668C23—1222no—
1669C23—1221no—
1670C23—1221no—
1671C23—2442no—
1672C23—2442no—
1673C23—2442no—
1674C23—2442no—
1675C23—2442no—
1676C23—2442no—
1677C23C2×D4×D6111yescharacteristic
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—42no—
1687Q8—81no—
1688Q8—1221no—
1689Q8—1221no—
1690Q8—1221no—
1691Q8—1221no—
1692Q8—1221no—
1693Q8—1221no—
1694Q8—1221no—
1695Q8—1221no—
1696Q8—4881no—
1697Q8—4881no—
1698Q8—4881no—
1699Q8—2442no—
1700Q8—2442no—
1701Q8—2442no—
1702Q8—2442no—
1703Q8—2442no—
1704Q8—2442no—
1705Q8—2442no—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—42no—
1711D4—81no—
1712D4—1221no—
1713D4—1221no—
1714D4—1221no—
1715D4—1221no—
1716D4—4881no—
1717D4—4881no—
1718D4—4881no—
1719D4—2442no—
1720D4—2442no—
1721D4—2442no—
1722D4—2442no—
1723D4—2442no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—42no—
1733C2×C4—42no—
1734C2×C4—81no—
1735C2×C4—611no—
1736C2×C4—612no—
1737C2×C4—612no—
1738C2×C4—611no—
1739C2×C4—611no—
1740C2×C4—611no—
1741C2×C4—611no—
1742C2×C4—611no—
1743C2×C4—1222no—
1744C2×C4—1222no—
1745C2×C4—1222no—
1746C2×C4—1222no—
1747C2×C4—1222no—
1748C2×C4—1222no—
1749C2×C4—1222no—
1750C2×C4—1221no—
1751C2×C4—1221no—
1752C2×C4—1221no—
1753C2×C4—1221no—
1754C2×C4—1221no—
1755C2×C4—1221no—
1756C2×C4—1221no—
1757C2×C4—1221no—
1758C2×C4—4881no—
1759C2×C4—4881no—
1760C2×C4—4881no—
1761C2×C4—2442no—
1762C2×C4—2442no—
1763C2×C4—2442no—
1764C2×C4—2442no—
1765C2×C4—2442no—
1766C2×C4—2442no—
1767C2×C4—2442no—
1768C2×C4—2442no—
1769C2×C4—2442no—
1770C2×C4—2442no—
1771C2×C4—2442no—
1772C2×C4—2442no—
1773C2×C4C2×D4×D6111yescharacteristic
1774C2×C4C2×D4×D6111yescharacteristic
1775C2×C4C2×D4×D6111yescharacteristic
1776C2×C4C2×D4×D6111yescharacteristic
1777C2×C4C2×D4×D6111yescharacteristic
1778C2×C4C24×D6111yescharacteristic
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—21no—
1783C8—1221no—
1784C8—1221no—
1785C8—1221no—
1786C8—1221no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—612no—
1797C22—612no—
1798C22—612no—
1799C22—1221no—
1800C22—1221no—
1801C22—1221no—
1802C22—4884no—
1803C22—4884no—
1804C22—2444no—
1805C22—2441no—
1806C22—2441no—
1807C22—2441no—
1808C22—2441no—
1809C22—2441no—
1810C22—2441no—
1811C22C22×D4×D6111yescharacteristic
1812C4—21no—
1813C4—21no—
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—41no—
1818C4—41no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—612no—
1824C4—1221no—
1825C4—1221no—
1826C4—1221no—
1827C4—1221no—
1828C4—1221no—
1829C4—2441no—
1830C4—2441no—
1831C4—2441no—
1832C4—2441no—
1833C4—2441no—
1834C4—2441no—
1835C4H(5,𝔽2)×D6111yescharacteristic
1836C4H(5,𝔽2)×D6111yescharacteristic
1837C2—41no—
1838C2—81no—
1839C2—81no—
1840C2—614no—
1841C2—4881no—
1842C2—4881no—
1843C2—2441no—
1844C2#535×D6111yescharacteristic
1845C2#577×D6111yescharacteristic
1846C2#578×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3225C2
socleC22×C61C23×D4
prime radical#449×D61C2
hypercenter#3225D61
hypocenterC61C2×#3225
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #542×D61C2semidirect
2. #536×D61C2semidirect
3. #21456935C2semidirect
4. #21456934C2semidirect
5. #21456933C2semidirect
6. #21456932C2semidirect
7. #21456931C2semidirect
8. #21456930C2semidirect
9. #21456929C2semidirect
10. #21456928C2semidirect
11. #21456927C2semidirect
12. #21456926C2semidirect
13. #21456925C2semidirect
14. #21456924C2semidirect
15. #21456923C2semidirect
16. #21456922C2semidirect
17. #21456921C2semidirect
18. #497×D61C2semidirect
19. #495×D61C2semidirect
20. #489×D61C2semidirect
21. #487×D61C2semidirect
22. #464×D61C2semidirect
23. #462×D61C2semidirect
24. #463×D61C2semidirect
25. #461×D61C2semidirect
26. #452×D61C2semidirect
28. #451×D61C2semidirect
29. #448×D61C2semidirect
30. #433×D61C2semidirect
31. C61×#3225C2semidirect
42. #16840386C22semidirect
43. #16840385C22semidirect
44. #16840384C22semidirect
45. #16840383C22semidirect
47. #16840381C22semidirect
49. #16840379C22semidirect
51. #16840377C22semidirect
53. #16840338C22semidirect
54. #16840337C22semidirect
55. #16840337C22semidirect
56. #16840336C22semidirect
61. #16840333C22semidirect
62. #16840332C22semidirect
63. #16840332C22semidirect
83. #16840157C22semidirect
84. #16840156C22semidirect
85. #16840155C22semidirect
86. #16840155C22semidirect
87. #16840154C22semidirect
88. #16840153C22semidirect
89. #16840153C22semidirect
90. #16840147C22semidirect
91. #16840146C22semidirect
92. #16840145C22semidirect
93. #16840144C22semidirect
94. #16840144C22semidirect
95. #16840143C22semidirect
96. #16840143C22semidirect
97. #16840124C22semidirect
98. #16840123C22semidirect
99. #16840123C22semidirect
100. #16840122C22semidirect
101. #16840121C22semidirect
102. #16840120C22semidirect
103. #16840120C22semidirect
104. #16840114C22semidirect
105. #16840113C22semidirect
106. #16840112C22semidirect
107. #16840111C22semidirect
108. #16840111C22semidirect
109. #16840111C22semidirect
110. #16840111C22semidirect
111. #16839987C22semidirect
112. #16839986C22semidirect
113. #16839985C22semidirect
114. #16839984C22semidirect
115. #16839983C22semidirect
116. #16839982C22semidirect
117. #16839981C22semidirect
118. #16839980C22semidirect
119. #16839979C22semidirect
120. #16839978C22semidirect
121. #16839977C22semidirect
122. #16839976C22semidirect
123. #16839975C22semidirect
124. #16839974C22semidirect
125. #16839973C22semidirect
126. #16839972C22semidirect
127. #16839971C22semidirect
128. #16839971C22semidirect
129. #16839970C22semidirect
130. #16839970C22semidirect
131. #16839969C22semidirect
132. #16839968C22semidirect
133. #16839967C22semidirect
134. #16839966C22semidirect
135. #16839966C22semidirect
136. #16839965C22semidirect
137. #16839965C22semidirect
138. #16839964C22semidirect
139. #16839927C22semidirect
140. #16839926C22semidirect
141. #16839925C22semidirect
142. #16839924C22semidirect
143. #16839923C22semidirect
144. #16839922C22semidirect
145. #16839921C22semidirect
146. #16839920C22semidirect
147. #16839919C22semidirect
148. #16839919C22semidirect
149. #16839918C22semidirect
150. #16839917C22semidirect
151. #16839916C22semidirect
152. #16839916C22semidirect
160. #16839903C22semidirect
161. #16839902C22semidirect
162. #16839902C22semidirect
163. #16839901C22semidirect
164. #16839900C22semidirect
165. #16839899C22semidirect
166. #16839899C22semidirect
167. #16839824C22semidirect
168. #16839823C22semidirect
169. #16839822C22semidirect
170. #16839822C22semidirect
171. #16839821C22semidirect
172. #16839820C22semidirect
173. #16839820C22semidirect
188. C61×#542C22semidirect
189. C61×#536C22semidirect
190. C61×#497C22semidirect
191. C61×#495C22semidirect
192. C61×#489C22semidirect
193. C61×#487C22semidirect
194. C61×#464C22semidirect
195. C61×#463C22semidirect
196. C61×#462C22semidirect
197. C61×#461C22semidirect
198. C61×#452C22semidirect
199. C61×#451C22semidirect
201. C61×#448C22semidirect
202. C61×#433C22semidirect
931. #3225D61direct (N × H)
954. D61#3225direct (N × H)
976. #542C2×D61semidirect
988. #536C2×D61semidirect
1015. #497C2×D61semidirect
1023. #495C2×D61semidirect
1031. #489C2×D61semidirect
1039. #487C2×D61semidirect
1047. #464C2×D61semidirect
1055. #463C2×D61semidirect
1063. #462C2×D61semidirect
1071. #461C2×D61semidirect
1079. #452C2×D61semidirect
1087. #451C2×D61semidirect
1103. #448C2×D61semidirect
1111. #433C2×D61semidirect
1126. C61C2×#3225semidirect

Maximal subgroups

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

subgroupindex
#542×D612
#536×D612
#214569352
#214569342
#214569332
#214569322
#214569312
#214569302
#214569292
#214569282
#214569272
#214569262
#214569252
#214569242
#214569232
#214569222
#214569212
#497×D612
#495×D612
#489×D612
#487×D612
#464×D612
#462×D612
#463×D612
#461×D612
#452×D612
#449×D612
#451×D612
#448×D612
#433×D612
C61×#32252
C2×#322561