Finite Group Databasebeta

← #30551542

Subgroups — #30551542

Order 15616.

2030 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459206C211yesmaximal, characteristic, complemented
2#536×D61C211yesmaximal, characteristic, complemented
3#21456931C211yesmaximal, characteristic, complemented
4#21456930C211yesmaximal, characteristic, complemented
5#21456929C211yesmaximal, characteristic, complemented
6#21456928C211yesmaximal, characteristic, complemented
7#21456923C211yesmaximal, characteristic, complemented
8#21456922C211yesmaximal, characteristic, complemented
9#21456921C211yesmaximal, characteristic, complemented
10#21456901C211yesmaximal, characteristic, complemented
11#21456900C211yesmaximal, characteristic, complemented
12#21456899C211yesmaximal, characteristic, complemented
13#21456898C211yesmaximal, characteristic, complemented
14#21456879C211yesmaximal, characteristic, complemented
15#21456878C211yesmaximal, characteristic, complemented
16#21456877C211yesmaximal, characteristic, complemented
17#21456876C211yesmaximal, characteristic, complemented
18#21456280C211yesmaximal, characteristic, complemented
19#21456275C211yesmaximal, characteristic, complemented
20#21456204C211yesmaximal, characteristic, complemented
21#21456196C211yesmaximal, characteristic, complemented
22#21455310C211yesmaximal, characteristic, complemented
23#21455308C211yesmaximal, characteristic, complemented
24#21455303C211yesmaximal, characteristic, complemented
25#21455301C211yesmaximal, characteristic, complemented
26#21455062C211yesmaximal, characteristic, complemented
27#21455057C211yesmaximal, characteristic, complemented
28#21455054C211yesmaximal, characteristic, complemented
29#21455050C211yesmaximal, characteristic, complemented
30#21454453C211yesmaximal, characteristic, complemented
31C61×#3225C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C22×Q8×D61C2211yescharacteristic
34C2×#14519809C2211yescharacteristic
35C2×#14519809C2211yescharacteristic
36C2×#14519809C2211yescharacteristic
37C2×#14519806C2211yescharacteristic
38C2×#14519806C2211yescharacteristic
39C2×#14519806C2211yescharacteristic
40C2×#14519804C2211yescharacteristic
41C2×#14519801C2211yescharacteristic
42#16840386C2211yescharacteristic, complemented
43#16840383C2211yescharacteristic, complemented
44#16840381C2211yescharacteristic, complemented
45#16840372C2211yescharacteristic, complemented
46#16840370C2211yescharacteristic, complemented
47#16840365C2211yescharacteristic, complemented
48#16840363C2211yescharacteristic, complemented
49#16840358—21no—
50#16840353—21no—
51#16840348—21no—
52#16840346—21no—
53#16840338C2211yescharacteristic
54#16840337C2211yescharacteristic
55#16840337C2211yescharacteristic
56#16840336C2211yescharacteristic
57#16840335—21no—
58#16840335—21no—
59#16840334—21no—
60#16840334—21no—
61#16840333C2211yescharacteristic
62#16840332C2211yescharacteristic
63#16840332C2211yescharacteristic
64#16840317C2211yescharacteristic
65#16840311C2211yescharacteristic
66C4⋊Q8×D61C2211yescharacteristic
67C4⋊Q8×D61C2211yescharacteristic
68#16840298—21no—
69#16840295—21no—
70#16840291—21no—
71#16840289—21no—
72#124×D61C2211yescharacteristic
73#124×D61C2211yescharacteristic
74#16840275C2211yescharacteristic
75#16840272C2211yescharacteristic
76#123×D61—21no—
77#123×D61—21no—
78C22⋊Q8×D61—21no—
79C22⋊Q8×D61—21no—
80C4×#11758226C2211yescharacteristic
81C4×#11758224C2211yescharacteristic
82#117×D61C2211yescharacteristic
83#16840157C2211yescharacteristic, complemented
84#16840156C2211yescharacteristic, complemented
85#16840155C2211yescharacteristic, complemented
86#16840154C2211yescharacteristic, complemented
87#16840153C2211yescharacteristic, complemented
88#16840150C2211yescharacteristic, complemented
89#16840148C2211yescharacteristic, complemented
90#16840146C2211yescharacteristic, complemented
91#16840144C2211yescharacteristic, complemented
92#16840144C2211yescharacteristic, complemented
93#16840140C2211yescharacteristic, complemented
94#16840140C2211yescharacteristic, complemented
95#16840133C2211yescharacteristic, complemented
96#16840133C2211yescharacteristic, complemented
97#16840129C2211yescharacteristic, complemented
98#16840129C2211yescharacteristic, complemented
99#16840129C2211yescharacteristic, complemented
100#16840129C2211yescharacteristic, complemented
101#16840124C2211yescharacteristic, complemented
102#16840122C2211yescharacteristic, complemented
103#16840121C2211yescharacteristic, complemented
104#16840118C2211yescharacteristic, complemented
105#16840118C2211yescharacteristic, complemented
106#16840115C2211yescharacteristic, complemented
107#16840115C2211yescharacteristic, complemented
108#16840114C2211yescharacteristic, complemented
109#16840113C2211yescharacteristic, complemented
110#16840112C2211yescharacteristic, 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
140#16839926C2211yescharacteristic
141#16839925C2211yescharacteristic
142#16839924C2211yescharacteristic
143#16839923C2211yescharacteristic
144#16839922C2211yescharacteristic
145#16839921C2211yescharacteristic
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
174#16839784C2211yescharacteristic
175#16839784C2211yescharacteristic
176#16839769C2211yescharacteristic
177#16839769C2211yescharacteristic
178#16839769C2211yescharacteristic
179#16839769C2211yescharacteristic
180#16839769C2211yescharacteristic
181#16839769C2211yescharacteristic
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839724C2211yescharacteristic
185#16839724C2211yescharacteristic
186#16839714C2211yescharacteristic
187C4×#11758189C2211yescharacteristic
188C61×#542C2211yescharacteristic, complemented
189C61×#536C2211yescharacteristic
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
199C61×#451C2211yescharacteristic, complemented
200C61×#449C2211yescharacteristic
201C61×#448C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222C2311yescharacteristic
207C2×#11758224—21no—
208C2×#11758224C2311yescharacteristic
209C2×#11758224C2311yescharacteristic
210#41×D61—42no—
211#41×D61—42no—
212C22×Dic122—21no—
213C22×Dic122C2311yescharacteristic
214C2×Q8×D61—21no—
215C2×Q8×D61—21no—
216C2×Q8×D61—42no—
217C2×Q8×D61—42no—
218C2×Q8×D61C2311yescharacteristic
219C2×Q8×D61C2311yescharacteristic
220C2×Q8×D61C2311yescharacteristic
221C2×Q8×D61C2311yescharacteristic
222C2×Q8×D61C2311yescharacteristic
223C2×D4×D61—21no—
224C2×D4×D61C2311yescharacteristic
225C22×C4×D61—21no—
226C22×C4×D61—21no—
227C22×C4×D61C2311yescharacteristic
228#14519809—42no—
229#14519809—42no—
230#14519809—42no—
231#14519806—42no—
232#14519806—42no—
233#14519806—42no—
234#14519804—42no—
235#14519801—42no—
236C2×Dic244C2311yescharacteristic
237C2×Dic244C2311yescharacteristic
238C2×Dic244C2311yescharacteristic
239C2×#11758202C2311yescharacteristic
240C2×#11758202C2311yescharacteristic
241C2×#11758202C2311yescharacteristic
242C2×#11758202C2311yescharacteristic
243C2×#11758202C2311yescharacteristic
244C2×#11758202C2311yescharacteristic
245C2×#11758190C2311yescharacteristic
246C2×#11758190C2311yescharacteristic
247C2×#11758190C2311yescharacteristic
248C2×#11758190C2311yescharacteristic
249C2×#11758200C2311yescharacteristic
250C2×#11758200C2311yescharacteristic
251C2×#11758200C2311yescharacteristic
252C2×#11758200C2311yescharacteristic
253C2×#11758201C2311yescharacteristic
254C2×#11758201C2311yescharacteristic
255C2×#11758201C2311yescharacteristic
256C2×#11758201C2311yescharacteristic
257C2×D488C2311yescharacteristic
258C2×#11758199C2311yescharacteristic
259C2×#11758199C2311yescharacteristic
260C2×#11758189C2311yescharacteristic
261C2×#11758189C2311yescharacteristic
262C2×#11758189C2311yescharacteristic
263C2×#11758189C2311yescharacteristic
264#14519777C2311yescharacteristic
265#14519777C2311yescharacteristic
266#14519777C2311yescharacteristic
267#14519776—21no—
268#14519776—21no—
269#14519776—21no—
270#14519776—21no—
271#14519775C2311yescharacteristic
272#14519775C2311yescharacteristic
273#14519775C2311yescharacteristic
274#14519775C2311yescharacteristic
275#14519775C2311yescharacteristic
276#14519773C2311yescharacteristic
277#14519772—21no—
278#14519772—21no—
279#14519772—21no—
280#14519771—21no—
281#14519770—21no—
282#14519770—21no—
283#14519770—21no—
284#14519769—21no—
285#14519768—21no—
286#14519768C2311yescharacteristic
287#14519768C2311yescharacteristic
288#14519767—21no—
289#14519767—21no—
290#14519766—21no—
291#14519766C2311yescharacteristic
292#14519766C2311yescharacteristic
293#14519765C2311yescharacteristic
294#14519765C2311yescharacteristic
295#14519765C2311yescharacteristic
296#14519764C2311yescharacteristic
297#14519764C2311yescharacteristic
298#14519763—21no—
299#14519763—21no—
300#14519763—21no—
301#14519763—21no—
302#14519763—21no—
303#14519763—21no—
304#14519762—21no—
305#14519762—21no—
306#14519762—21no—
307#14519762—21no—
308#14519762—21no—
309#14519762—21no—
310#14519761—21no—
311#14519761—21no—
312#14519761—21no—
313#14519761—21no—
314#14519760—21no—
315#14519760—21no—
316#14519760—21no—
317#14519759—21no—
318#14519759—21no—
319#14519759—21no—
320#14519759—21no—
321#14519759—21no—
322#14519759—21no—
323#14519759—21no—
324#14519759—21no—
325#14519758—21no—
326#14519758—21no—
327#14519757—21no—
328#14519757—21no—
329#14519757—21no—
330#14519757C2311yescharacteristic
331#14519756—21no—
332#14519756—21no—
333#14519756C2311yescharacteristic
334#14519755—21no—
335#14519755—21no—
336#14519755—21no—
337#14519755—21no—
338#14519755—21no—
339#14519754—21no—
340#14519754—21no—
341#14519754—21no—
342#14519754—21no—
343#14519754—21no—
344#14519753—21no—
345#14519753—21no—
346#14519753—21no—
347#14519753—21no—
348#14519753C2311yescharacteristic
349#14519752C2311yescharacteristic
350#14519751—21no—
351#14519751C2311yescharacteristic
352#14519750—21no—
353#14519750—21no—
354#14519750—21no—
355#14519749—21no—
356#14519748—21no—
357#14519748C2311yescharacteristic
358#14519747—21no—
359#14519745—21no—
360Q8×Dic61—21no—
361Q8×Dic61C2311yescharacteristic
362C4×Dic122C2311yescharacteristic
363#14519742—21no—
364#14519742C2311yescharacteristic
365C4×D244—21no—
366C4×D244C2311yescharacteristic
367D4×Dic61—21no—
368D4×Dic61C2311yescharacteristic
369#14519739—21no—
370#14519739—21no—
371#14519739C2311yescharacteristic
372C4×C22⋊D61—21no—
373#14519737—21no—
374#14519737—21no—
375#14519737—21no—
376#14519737—21no—
377#14519737—21no—
378#14519736C2311yescharacteristic
379#14519735—21no—
380#14519735D411yescharacteristic
381#14519735D411yescharacteristic
382#14519735C2311yescharacteristic
383#14519735C2311yescharacteristic
384#14519734C2311yescharacteristic
385#14519734C2311yescharacteristic
386#14519733—21no—
387#14519733D411yescharacteristic
388#14519733D411yescharacteristic
389C4⋊C4×D61—21no—
390C4⋊C4×D61—21no—
391C4⋊C4×D61—21no—
392C4⋊C4×D61—21no—
393C4⋊C4×D61D411yescharacteristic
394C4⋊C4×D61D411yescharacteristic
395C22⋊C4×D61—21no—
396C22⋊C4×D61—21no—
397C22⋊C4×D61—21no—
398C22⋊C4×D61—21no—
399C22⋊C4×D61D411yescharacteristic
400C22⋊C4×D61D411yescharacteristic
401C2×C4×Dic61—21no—
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×D61C2×D411yescharacteristic
492#41×C61—41no—
493#41×C61—41no—
494C2×Q8×C61—21no—
495C2×Q8×C61—21no—
496C2×Q8×C61—41no—
497C2×Q8×C61—41no—
498C2×Q8×C61C2411yescharacteristic
499C2×Q8×C61C2411yescharacteristic
500C2×Q8×C61C2411yescharacteristic
501C2×Q8×C61C2411yescharacteristic
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61C2411yescharacteristic
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61C2×D411yescharacteristic
523#11758226—22no—
524#11758226—22no—
525#11758226—41no—
526#11758226—41no—
527Q8×D61—22no—
528Q8×D61—22no—
529Q8×D61—22no—
530Q8×D61—22no—
531Q8×D61—22no—
532Q8×D61—22no—
533Q8×D61—41no—
534Q8×D61—41no—
535Q8×D61—41no—
536Q8×D61—41no—
537Q8×D61—44no—
538Q8×D61—44no—
539#11758224—22no—
540#11758224—22no—
541#11758224—41no—
542#11758224—41no—
543#11758224—44no—
544D4×D61—22no—
545D4×D61—22no—
546D4×D61—44no—
547#11758222—41no—
548#11758222—41no—
549#11758222—44no—
550C2×D244—21no—
551C2×D244—21no—
552C2×D244—21no—
553C2×D244C2411yescharacteristic
554C2×D244C2411yescharacteristic
555C2×C4×D61—22no—
556C2×C4×D61—22no—
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—44no—
568C2×C4×D61—44no—
569C2×C4×D61C2×D411yescharacteristic
570C2×C4×D61C2×D411yescharacteristic
571C2×C4×D61C2×D411yescharacteristic
572C2×C4×D61C2×D411yescharacteristic
573C2×C4×D61C2×D411yescharacteristic
574C2×C4×D61C2×D411yescharacteristic
575C2×C4×D61C2411yescharacteristic
576C2×C4×D61C2411yescharacteristic
577C2×Dic122—21no—
578C2×Dic122—21no—
579C2×Dic122—21no—
580C2×Dic122—21no—
581C2×Dic122—21no—
582C2×Dic122—21no—
583C2×Dic122—21no—
584C2×Dic122—41no—
585C2×Dic122—41no—
586C2×Dic122—44no—
587C2×Dic122C2411yescharacteristic
588C2×Dic122C2411yescharacteristic
589C2×Dic122C2411yescharacteristic
590C2×Dic122C2411yescharacteristic
591Q16×C61—41no—
592Q16×C61—41no—
593Q16×C61—41no—
594SD16×C61—41no—
595SD16×C61—41no—
596SD16×C61—41no—
597SD16×C61—41no—
598D8×C61—41no—
599C2×C8×C61C2411yescharacteristic
600C2×C8×C61C2411yescharacteristic
601C2×C8×C61C2411yescharacteristic
602C2×C8×C61C2411yescharacteristic
603C4⋊C4×C61—21no—
604C4⋊C4×C61—21no—
605C4⋊C4×C61—21no—
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61—21no—
609C4⋊C4×C61—21no—
610C4⋊C4×C61C2×D411yescharacteristic
611C4⋊C4×C61C2×D411yescharacteristic
612C4⋊C4×C61C2411yescharacteristic
613C4⋊C4×C61C2411yescharacteristic
614C22⋊C4×C61—21no—
615C22⋊C4×C61—21no—
616C22⋊C4×C61—21no—
617C22⋊C4×C61—21no—
618C22⋊C4×C61—21no—
619C22⋊C4×C61—21no—
620C22⋊C4×C61—21no—
621C22⋊C4×C61—21no—
622C22⋊C4×C61—21no—
623C22⋊C4×C61C2×D411yescharacteristic
624C22⋊C4×C61C2×D411yescharacteristic
625C42×C61—21no—
626C42×C61C2411yescharacteristic
627C42×C61C2411yescharacteristic
628C22⋊Dic61—21no—
629C22⋊Dic61—21no—
630C22⋊Dic61—21no—
631C22⋊Dic61—21no—
632C22⋊Dic61—21no—
633C22⋊Dic61—21no—
634C22⋊Dic61—21no—
635C22⋊Dic61C2×D411yescharacteristic
636C22⋊Dic61C2×D411yescharacteristic
637#11758202—41no—
638#11758202—41no—
639#11758202—41no—
640#11758202—41no—
641#11758202—41no—
642#11758202—41no—
643#11758201—41no—
644#11758201—41no—
645#11758201—41no—
646#11758201—41no—
647#11758200—41no—
648#11758200—41no—
649#11758200—41no—
650#11758200—41no—
651#11758199—41no—
652#11758199—41no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198—21no—
663#11758198—21no—
664#11758198—21no—
665#11758198—21no—
666#11758198—21no—
667#11758198—21no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198C2×D411yescharacteristic
672#11758198C2×D411yescharacteristic
673#11758198C2×D411yescharacteristic
674#11758198C2×D411yescharacteristic
675C4⋊Dic61—21no—
676C4⋊Dic61—21no—
677C4⋊Dic61—21no—
678C4⋊Dic61—21no—
679C4⋊Dic61—21no—
680C4⋊Dic61—21no—
681C4⋊Dic61—21no—
682C4⋊Dic61—21no—
683C4⋊Dic61—21no—
684C4⋊Dic61C2×D411yescharacteristic
685C4⋊Dic61C2×D411yescharacteristic
686C4⋊Dic61C2411yescharacteristic
687C4⋊Dic61C2411yescharacteristic
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196—21no—
692#11758196—21no—
693#11758196—21no—
694#11758196—21no—
695#11758196—21no—
696#11758196—21no—
697#11758196—21no—
698#11758196—21no—
699#11758196—21no—
700#11758196—21no—
701#11758196—21no—
702#11758196—21no—
703#11758196—21no—
704#11758196C2×D411yescharacteristic
705#11758196C2×D411yescharacteristic
706#11758196C2×D411yescharacteristic
707#11758196C2×D411yescharacteristic
708C4×Dic61—21no—
709C4×Dic61—21no—
710C4×Dic61—21no—
711C4×Dic61—21no—
712C4×Dic61—21no—
713C4×Dic61C2×D411yescharacteristic
714C4×Dic61C2×D411yescharacteristic
715C4×Dic61C2×D411yescharacteristic
716C4×Dic61C2×D411yescharacteristic
717C4×Dic61C2411yescharacteristic
718C4×Dic61C2411yescharacteristic
719C2×#92418C2411yescharacteristic
720C2×#92418C2411yescharacteristic
721C2×#92418C2411yescharacteristic
722C2×#92418C2411yescharacteristic
723Dic244—41no—
724Dic244—41no—
725Dic244—41no—
726D488—41no—
727#11758190—41no—
728#11758190—41no—
729#11758190—41no—
730#11758190—41no—
731#11758189—22no—
732#11758189—22no—
733#11758189—22no—
734#11758189—22no—
735C23×C61—21no—
736C23×C61—21no—
737C23×C61C22×D411yescharacteristic
738C22×D61—22no—
739C22×D61—21no—
740C22×D61—21no—
741C22×D61—41no—
742C22×D61—41no—
743C22×D61—42no—
744C22×D61—42no—
745C22×D61—42no—
746C22×D61C22×D411yescharacteristic
747C22×D61C22×D411yescharacteristic
748Q8×C61—21no—
749Q8×C61—21no—
750Q8×C61—21no—
751Q8×C61—21no—
752Q8×C61—21no—
753Q8×C61—21no—
754Q8×C61—21no—
755Q8×C61—21no—
756Q8×C61—42no—
757Q8×C61—81no—
758D4×C61—21no—
759D4×C61—21no—
760D4×C61—21no—
761D4×C61—21no—
762D4×C61—42no—
763D4×C61—81no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—21no—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—42no—
773C2×C4×C61—42no—
774C2×C4×C61—81no—
775C2×C4×C61C22×D411yescharacteristic
776C2×C4×C61C22×D411yescharacteristic
777C2×C4×C61C22×D411yescharacteristic
778C2×C4×C61C22×D411yescharacteristic
779C2×C4×C61C22×D411yescharacteristic
780C2×C4×C61C2511yescharacteristic
781C22⋊D61—42no—
782C22⋊D61—42no—
783C22⋊D61—42no—
784C22⋊D61—42no—
785C22⋊D61—81no—
786C22⋊D61—81no—
787C22⋊D61—81no—
788C22⋊D61—81no—
789C2×Dic61—22no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—42no—
797C2×Dic61—42no—
798C2×Dic61—42no—
799C2×Dic61—81no—
800C2×Dic61C22×D411yescharacteristic
801C2×Dic61C22×D411yescharacteristic
802C2×Dic61C22×D411yescharacteristic
803C2×Dic61C22×D411yescharacteristic
804C2×Dic61C22×D411yescharacteristic
805C2×Dic61C22×D411yescharacteristic
806D244—21no—
807D244—21no—
808D244—21no—
809D244—21no—
810D244—42no—
811D244—42no—
812D244—81no—
813C4×D61—22no—
814C4×D61—21no—
815C4×D61—21no—
816C4×D61—22no—
817C4×D61—41no—
818C4×D61—41no—
819C4×D61—41no—
820C4×D61—41no—
821C4×D61—42no—
822C4×D61—42no—
823C4×D61—42no—
824C4×D61—42no—
825C4×D61—42no—
826C4×D61—42no—
827C4×D61—42no—
828C4×D61—42no—
829C4×D61—81no—
830C4×D61—81no—
831C4×D61H(5,𝔽2)12yes—
832C4×D61H(5,𝔽2)12yes—
833Dic122—21no—
834Dic122—21no—
835Dic122—21no—
836Dic122—21no—
837Dic122—21no—
838Dic122—21no—
839Dic122—21no—
840Dic122—21no—
841Dic122—42no—
842Dic122—42no—
843Dic122—42no—
844Dic122—42no—
845Dic122—42no—
846Dic122—42no—
847Dic122—81no—
848C8×C61—21no—
849C8×C61—21no—
850C8×C61—21no—
851C8×C61—21no—
852#92418—21no—
853#92418—21no—
854#92418—21no—
855#92418—21no—
856#60807—611nomaximal, Sylow
857C22×C61—21no—
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×C61C23×D411yescharacteristic
867C2×D61—21no—
868C2×D61—21no—
869C2×D61—21no—
870C2×D61—21no—
871C2×D61—21no—
872C2×D61—44no—
873C2×D61—41no—
874C2×D61—41no—
875C2×D61—41no—
876C2×D61—41no—
877C2×D61—41no—
878C2×D61—41no—
879C2×D61—84no—
880C2×D61#53512yes—
881C4×C61—21no—
882C4×C61—21no—
883C4×C61—21no—
884C4×C61—21no—
885C4×C61—21no—
886C4×C61—41no—
887C4×C61—41no—
888C4×C61—41no—
889C4×C61—41no—
890C4×C61—41no—
891C4×C61—41no—
892C4×C61C2×H(5,𝔽2)11yescharacteristic
893C4×C61C2×H(5,𝔽2)11yescharacteristic
894Dic61—21no—
895Dic61—21no—
896Dic61—21no—
897Dic61—21no—
898Dic61—21no—
899Dic61—41no—
900Dic61—41no—
901Dic61—41no—
902Dic61—41no—
903Dic61—41no—
904Dic61—41no—
905Dic61#53512yes—
906#3455—611no—
907C2×#536—611no—
908#3225—611no—
909#3225—611no—
910#3225—611no—
911#3225—611no—
912#3225—611no—
913#3225—611no—
914#3225—611no—
915#3225D6111yescharacteristic, complemented
916#3223—611no—
917#3223—611no—
918#3223—611no—
919#3223—611no—
920#3221—611no—
921#3221—611no—
922#3221—611no—
923#3221—611no—
924#3153—611no—
925#3152—611no—
926#3140—611no—
927#3139—611no—
928#3040—611no—
929#3040—611no—
930#3039—611no—
931#3039—611no—
932#3005—611no—
933#3005—611no—
934#3004—611no—
935#3004—611no—
936#2921—611no—
937C2×C61—41no—
938C2×C61—81no—
939C2×C61—81no—
940C2×C61C2×#53511yescharacteristic
941C2×C61#358611yescharacteristic
942C2×C61#358611yescharacteristic
943D61—22no—
944D61—41no—
945D61—81no—
946D61—81no—
947C22×#41—611no—
948C23×Q8—611no—
949C2×#137—611no—
950C2×#137—611no—
951C2×#137—611no—
952C2×#137—611no—
953C2×#137—611no—
954C2×#137—611no—
955C2×AGL(1,ℤ/8)—611no—
956C2×AGL(1,ℤ/8)—611no—
957#542—611no—
958#542—611no—
959#542—611no—
960#542C2×D6111yescharacteristic, complemented
961#541—611no—
962#541—611no—
963#540—611no—
964#540—611no—
965#539—1221no—
966#539—1221no—
967#538—1221no—
968#538—1221no—
969#536—611no—
970#536—611no—
971#536—611no—
972#536—611no—
973#536—611no—
974#536—611no—
975#536—611no—
976#536—1221no—
977#536—1221no—
978#536—1221no—
979#536—1221no—
980#536C2×D6111yescharacteristic
981#533—611no—
982#532—611no—
983C2×C4⋊Q8—611no—
984C2×C4⋊Q8—611no—
985#529—1221no—
986#529—1221no—
987#529—1221no—
988#529—1221no—
989C2×#124—611no—
990C2×#124—611no—
991#525—611no—
992#525—611no—
993C2×#123—1221no—
994C2×#123—1221no—
995C2×C22⋊Q8—1221no—
996C2×C22⋊Q8—1221no—
997C4×#41—611no—
998C4×#41—611no—
999C2×#117—611no—
1000#497—611no—
1001#497—611no—
1002#497—611no—
1003#497—611no—
1004#497—611no—
1005#497C2×D6111yescharacteristic, complemented
1006#496—611no—
1007#496—611no—
1008#495—611no—
1009#495—611no—
1010#495—611no—
1011#495C2×D6111yescharacteristic, complemented
1012#494—611no—
1013#494—611no—
1014#492—611no—
1015#492—611no—
1016#491—611no—
1017#491—611no—
1018#491—611no—
1019#491—611no—
1020#489—611no—
1021#489—611no—
1022#489—611no—
1023#489C2×D6111yescharacteristic, complemented
1024#488—611no—
1025#488—611no—
1026#488—611no—
1027#488—611no—
1028#487—611no—
1029#487—611no—
1030#487—611no—
1031#487C2×D6111yescharacteristic, complemented
1032#464—611no—
1033#464—611no—
1034#464—611no—
1035#464—611no—
1036#464—611no—
1037#464—611no—
1038#464—611no—
1039#464C2×D6111yescharacteristic, complemented
1040#463—611no—
1041#463—611no—
1042#463—611no—
1043#463—611no—
1044#463—611no—
1045#463—611no—
1046#463—611no—
1047#463C2×D6111yescharacteristic, complemented
1048#462—611no—
1049#462—611no—
1050#462—611no—
1051#462—611no—
1052#462—611no—
1053#462—611no—
1054#462—611no—
1055#462C2×D6111yescharacteristic, complemented
1056#461—611no—
1057#461—611no—
1058#461—611no—
1059#461—611no—
1060#461—611no—
1061#461—611no—
1062#461—611no—
1063#461C2×D6111yescharacteristic, complemented
1064#452—611no—
1065#452—611no—
1066#452—611no—
1067#452—611no—
1068#452—611no—
1069#452—611no—
1070#452—611no—
1071#452C2×D6111yescharacteristic
1072#451—611no—
1073#451—611no—
1074#451—611no—
1075#451—611no—
1076#451—611no—
1077#451—611no—
1078#451—611no—
1079#451C2×D6111yescharacteristic, complemented
1080#449—611no—
1081#449—611no—
1082#449—611no—
1083#449—611no—
1084#449—611no—
1085#449—611no—
1086#449—611no—
1087#449C2×D6111yescharacteristic
1088#448—611no—
1089#448—611no—
1090#448—611no—
1091#448—611no—
1092#448—611no—
1093#448—611no—
1094#448—611no—
1095#448C2×D6111yescharacteristic, complemented
1096#433—611no—
1097#433—611no—
1098#433—611no—
1099#433—611no—
1100#433—611no—
1101#433—611no—
1102#433—611no—
1103#433C2×D6111yescharacteristic, complemented
1104#423—611no—
1105#423—611no—
1106#419—611no—
1107#419—611no—
1108#419—611no—
1109#419—611no—
1110#419—611no—
1111#419—611no—
1112#418—611no—
1113#418—611no—
1114#407—611no—
1115#407—611no—
1116C4×M16—611no—
1117C4×M16—611no—
1118C61#6080711yescharacteristic, complemented, Sylow
1119C2×#41—611no—
1120C2×#41—611no—
1121C2×#41—611no—
1122C2×#41—611no—
1123C2×#41—611no—
1124C2×#41—1221no—
1125C2×#41—1221no—
1126C2×#41—2442no—
1127C2×#41—2442no—
1128C2×#41C22×D6111yescharacteristic
1129C22×Q8—611no—
1130C22×Q8—611no—
1131C22×Q8—611no—
1132C22×Q8—611no—
1133C22×Q8—611no—
1134C22×Q8—611no—
1135C22×Q8—1221no—
1136C22×Q8—1221no—
1137C22×Q8—1221no—
1138C22×Q8—2442no—
1139C22×Q8—2442no—
1140C22×Q8C22×D6111yescharacteristic
1141C22×D4—611no—
1142C22×D4—1221no—
1143C23×C4—611no—
1144C23×C4—1221no—
1145C23×C4—1221no—
1146#137—2442no—
1147#137—2442no—
1148#137—2442no—
1149#137—2442no—
1150#137—2442no—
1151#137—2442no—
1152AGL(1,ℤ/8)—2442no—
1153AGL(1,ℤ/8)—2442no—
1154C2×Q16—611no—
1155C2×Q16—611no—
1156C2×Q16—611no—
1157C2×Q16—611no—
1158C2×Q16—611no—
1159C2×Q16—611no—
1160C2×Q16—611no—
1161C2×Q16—611no—
1162C2×Q16—611no—
1163C2×Q16C22×D6111yescharacteristic
1164C2×Q16C22×D6111yescharacteristic
1165C2×Q16C22×D6111yescharacteristic
1166C2×SD16—611no—
1167C2×SD16—611no—
1168C2×SD16—611no—
1169C2×SD16—611no—
1170C2×SD16—611no—
1171C2×SD16—611no—
1172C2×SD16—611no—
1173C2×SD16—611no—
1174C2×SD16—611no—
1175C2×SD16—611no—
1176C2×SD16—611no—
1177C2×SD16—611no—
1178C2×SD16C22×D6111yescharacteristic
1179C2×SD16C22×D6111yescharacteristic
1180C2×SD16C22×D6111yescharacteristic
1181C2×SD16C22×D6111yescharacteristic
1182C2×D8—611no—
1183C2×D8—611no—
1184C2×D8—611no—
1185C2×D8C22×D6111yescharacteristic
1186C2×M16—611no—
1187C2×M16—611no—
1188C2×M16—611no—
1189C2×M16—611no—
1190C4⋊Q8—611no—
1191C4⋊Q8—611no—
1192C4⋊Q8—611no—
1193C4⋊Q8—611no—
1194C4⋊Q8—611no—
1195C4⋊Q8—611no—
1196C4⋊Q8—611no—
1197C4⋊Q8—611no—
1198C4⋊Q8—1221no—
1199C4⋊Q8—1221no—
1200C4⋊Q8—1221no—
1201C4⋊Q8—1221no—
1202C4⋊Q8C22×D6111yescharacteristic
1203C4⋊Q8C22×D6111yescharacteristic
1204C4⋊Q8C22×D6111yescharacteristic
1205#127—611no—
1206#126—21no—
1207#126—1221no—
1208#126—1221no—
1209#126—1221no—
1210#126—1221no—
1211#126—1221no—
1212#126—1221no—
1213#126—1221no—
1214#125—611no—
1215#125—611no—
1216#125—1221no—
1217#125—1221no—
1218#125—1221no—
1219#125—1221no—
1220#124—21no—
1221#124—611no—
1222#124—611no—
1223#124—611no—
1224#124—611no—
1225#124—611no—
1226#124—611no—
1227#124—611no—
1228#124—1221no—
1229#124—1221no—
1230#124—1221no—
1231#124—1221no—
1232#124—1221no—
1233#124—1221no—
1234#124—1221no—
1235#124C22×D6111yescharacteristic
1236#124C22×D6111yescharacteristic
1237#124C22×D6111yescharacteristic
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—1221no—
1242#123—1221no—
1243#123—1221no—
1244#123—1221no—
1245#123—1221no—
1246#123—1221no—
1247#123—1221no—
1248#123—1221no—
1249#123—1221no—
1250#123—1221no—
1251#123—1221no—
1252#123—1221no—
1253#123—1221no—
1254#123—1221no—
1255#123—1221no—
1256#123—1221no—
1257#123—1221no—
1258#123—1221no—
1259#123—1221no—
1260#123—1221no—
1261#123—1221no—
1262#123—1221no—
1263#123—1221no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—611no—
1268C22⋊Q8—611no—
1269C22⋊Q8—611no—
1270C22⋊Q8—1221no—
1271C22⋊Q8—1221no—
1272C22⋊Q8—1221no—
1273C22⋊Q8—1221no—
1274C22⋊Q8—1221no—
1275C22⋊Q8—1221no—
1276C22⋊Q8—1221no—
1277C22⋊Q8—1221no—
1278C22⋊Q8—1221no—
1279C22⋊Q8—1221no—
1280C22⋊Q8—1221no—
1281C22⋊Q8—1221no—
1282C22⋊Q8—1221no—
1283C22⋊Q8—1221no—
1284C22⋊Q8—1221no—
1285C22⋊Q8—1221no—
1286C22⋊Q8—1221no—
1287C22⋊Q8—1221no—
1288C22⋊Q8—1221no—
1289C22⋊Q8C22×D6111yescharacteristic
1290#121—611no—
1291#121—611no—
1292#121—611no—
1293#121—1221no—
1294#121—1221no—
1295#121—1221no—
1296#121—1221no—
1297#121—1221no—
1298#121—1221no—
1299#121C22×D6111yescharacteristic
1300#120—1221no—
1301#120—1221no—
1302C4×Q8—611no—
1303C4×Q8—611no—
1304C4×Q8—611no—
1305C4×Q8—1221no—
1306C4×Q8—1221no—
1307C4×Q8C22×D6111yescharacteristic
1308C4×D4—611no—
1309C4×D4—611no—
1310C4×D4—611no—
1311C4×D4—1221no—
1312C4×D4—1221no—
1313C4×D4—1221no—
1314C4×D4—1221no—
1315C4×D4—1221no—
1316C4×D4—1221no—
1317C4×D4—1221no—
1318C4×D4—1221no—
1319C4×D4—1221no—
1320C4×D4—1221no—
1321C4×D4C22×D6111yescharacteristic
1322#117—611no—
1323#117—611no—
1324#117—611no—
1325#117—611no—
1326#117—611no—
1327#117—611no—
1328#117—611no—
1329#117—611no—
1330#117—611no—
1331#117—1221no—
1332#117—1221no—
1333#117C22×D6111yescharacteristic
1334C2×C4⋊C4—611no—
1335C2×C4⋊C4—611no—
1336C2×C4⋊C4—1221no—
1337C2×C4⋊C4—1221no—
1338C2×C4⋊C4—1221no—
1339C2×C4⋊C4—1221no—
1340C2×C22⋊C4—611no—
1341C2×C22⋊C4—611no—
1342C2×C22⋊C4—1221no—
1343C2×C22⋊C4—1221no—
1344C2×C22⋊C4—1221no—
1345C2×C22⋊C4—1221no—
1346C2×C42—611no—
1347C2×C42—611no—
1348C2×C42—1221no—
1349C2×C42—1221no—
1350C4⋊C8—611no—
1351C4⋊C8—611no—
1352C4⋊C8—611no—
1353C4⋊C8—611no—
1354C4⋊C8—611no—
1355C4⋊C8—611no—
1356C4⋊C8C22×D6111yescharacteristic
1357C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1372#103—611no—
1373#103—611no—
1374#103—611no—
1375#103—611no—
1376#103C22×D6111yescharacteristic
1377#103C22×D6111yescharacteristic
1378#103C22×D6111yescharacteristic
1379#103C22×D6111yescharacteristic
1380#103C22×D6111yescharacteristic
1381#103C22×D6111yescharacteristic
1382#102—611no—
1383#102—611no—
1384#102—611no—
1385#102—611no—
1386#102—611no—
1387#102—611no—
1388#102C22×D6111yescharacteristic
1389#102C22×D6111yescharacteristic
1390C22⋊C8—611no—
1391C22⋊C8—611no—
1392C22⋊C8—611no—
1393C22⋊C8—611no—
1394C22⋊C8—611no—
1395C22⋊C8—611no—
1396C22⋊C8C22×D6111yescharacteristic
1397C22⋊C8C22×D6111yescharacteristic
1398#97—611no—
1399#97—611no—
1400#97—611no—
1401#97C22×D6111yescharacteristic
1402C4×C8—611no—
1403C4×C8—611no—
1404C4×C8—611no—
1405C4×C8C22×D6111yescharacteristic
1406C24—611no—
1407C24—1221no—
1408#41—41no—
1409#41—41no—
1410#41—1222no—
1411#41—1222no—
1412#41—1222no—
1413#41—1222no—
1414#41—2441no—
1415#41—2441no—
1416#41—2444no—
1417#41—2441no—
1418#41—2441no—
1419#41—2444no—
1420#41—2441no—
1421#41—2441no—
1422C2×Q8—21no—
1423C2×Q8—21no—
1424C2×Q8—41no—
1425C2×Q8—41no—
1426C2×Q8—611no—
1427C2×Q8—611no—
1428C2×Q8—611no—
1429C2×Q8—611no—
1430C2×Q8—1221no—
1431C2×Q8—1221no—
1432C2×Q8—1221no—
1433C2×Q8—1221no—
1434C2×Q8—1221no—
1435C2×Q8—1222no—
1436C2×Q8—1222no—
1437C2×Q8—1222no—
1438C2×Q8—1222no—
1439C2×Q8—1222no—
1440C2×Q8—1222no—
1441C2×Q8—1221no—
1442C2×Q8—1221no—
1443C2×Q8—2441no—
1444C2×Q8—2441no—
1445C2×Q8—2444no—
1446C2×Q8—2441no—
1447C2×Q8—2441no—
1448C2×Q8—2441no—
1449C2×Q8—2441no—
1450C2×Q8—2444no—
1451C2×Q8—2444no—
1452C2×Q8C23×D6111yescharacteristic
1453C2×Q8C23×D6111yescharacteristic
1454C2×Q8C23×D6111yescharacteristic
1455C2×Q8C23×D6111yescharacteristic
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—611no—
1459C2×D4—611no—
1460C2×D4—1221no—
1461C2×D4—1221no—
1462C2×D4—1221no—
1463C2×D4—1222no—
1464C2×D4—1222no—
1465C2×D4—1221no—
1466C2×D4—1221no—
1467C2×D4—1221no—
1468C2×D4—1221no—
1469C2×D4—1221no—
1470C2×D4—1221no—
1471C2×D4—1221no—
1472C2×D4—1221no—
1473C2×D4—2444no—
1474C2×D4C23×D6111yescharacteristic
1475C2×D4C23×D6111yescharacteristic
1476C22×C4—21no—
1477C22×C4—21no—
1478C22×C4—21no—
1479C22×C4—611no—
1480C22×C4—611no—
1481C22×C4—611no—
1482C22×C4—611no—
1483C22×C4—611no—
1484C22×C4—611no—
1485C22×C4—611no—
1486C22×C4—611no—
1487C22×C4—611no—
1488C22×C4—1222no—
1489C22×C4—1222no—
1490C22×C4—1221no—
1491C22×C4—1221no—
1492C22×C4—1221no—
1493C22×C4—1221no—
1494C22×C4—1221no—
1495C22×C4—1221no—
1496C22×C4—1221no—
1497C22×C4—1221no—
1498C22×C4—1221no—
1499C22×C4—1221no—
1500C22×C4—1221no—
1501C22×C4—1221no—
1502C22×C4—1221no—
1503C22×C4—1221no—
1504C22×C4—2444no—
1505C22×C4—2444no—
1506C22×C4C23×D6111yescharacteristic
1507Q16—41no—
1508Q16—41no—
1509Q16—41no—
1510Q16—2441no—
1511Q16—2441no—
1512Q16—2441no—
1513Q16—2441no—
1514Q16—2441no—
1515Q16—2441no—
1516Q16—2441no—
1517Q16—2441no—
1518Q16—2441no—
1519SD16—41no—
1520SD16—41no—
1521SD16—41no—
1522SD16—41no—
1523SD16—2441no—
1524SD16—2441no—
1525SD16—2441no—
1526SD16—2441no—
1527SD16—2441no—
1528SD16—2441no—
1529SD16—2441no—
1530SD16—2441no—
1531SD16—2441no—
1532SD16—2441no—
1533SD16—2441no—
1534SD16—2441no—
1535D8—41no—
1536D8—2441no—
1537D8—2441no—
1538D8—2441no—
1539M16—1222no—
1540M16—1222no—
1541M16—1222no—
1542M16—1222no—
1543C2×C8—611no—
1544C2×C8—611no—
1545C2×C8—611no—
1546C2×C8—611no—
1547C2×C8C23×D6111yescharacteristic
1548C2×C8C23×D6111yescharacteristic
1549C2×C8C23×D6111yescharacteristic
1550C2×C8C23×D6111yescharacteristic
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—611no—
1559C4⋊C4—611no—
1560C4⋊C4—611no—
1561C4⋊C4—611no—
1562C4⋊C4—611no—
1563C4⋊C4—611no—
1564C4⋊C4—611no—
1565C4⋊C4—611no—
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⋊C4—1221no—
1580C4⋊C4—1221no—
1581C4⋊C4—1221no—
1582C4⋊C4—1221no—
1583C4⋊C4—1221no—
1584C4⋊C4—1221no—
1585C4⋊C4—1221no—
1586C4⋊C4—1221no—
1587C4⋊C4—1221no—
1588C4⋊C4—1221no—
1589C4⋊C4—1221no—
1590C4⋊C4—1221no—
1591C4⋊C4D4×D6111yescharacteristic
1592C4⋊C4D4×D6111yescharacteristic
1593C4⋊C4C23×D6111yescharacteristic
1594C4⋊C4C23×D6111yescharacteristic
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—611no—
1605C22⋊C4—611no—
1606C22⋊C4—611no—
1607C22⋊C4—611no—
1608C22⋊C4—611no—
1609C22⋊C4—611no—
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⋊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⋊C4D4×D6111yescharacteristic
1636C22⋊C4D4×D6111yescharacteristic
1637C42—21no—
1638C42—611no—
1639C42—611no—
1640C42—611no—
1641C42—611no—
1642C42—611no—
1643C42—611no—
1644C42—1221no—
1645C42—1221no—
1646C42—1221no—
1647C42—1221no—
1648C42—1221no—
1649C42C23×D6111yescharacteristic
1650C42C23×D6111yescharacteristic
1651C23—21no—
1652C23—21no—
1653C23—611no—
1654C23—611no—
1655C23—1222no—
1656C23—1221no—
1657C23—1221no—
1658C23—2441no—
1659C23—2441no—
1660C23—2442no—
1661C23—2442no—
1662C23—2442no—
1663C23C2×D4×D6111yescharacteristic
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—21no—
1671Q8—21no—
1672Q8—42no—
1673Q8—81no—
1674Q8—1221no—
1675Q8—1221no—
1676Q8—1221no—
1677Q8—1221no—
1678Q8—1221no—
1679Q8—1221no—
1680Q8—1221no—
1681Q8—1221no—
1682Q8—4881no—
1683Q8—2442no—
1684Q8—2442no—
1685Q8—2442no—
1686Q8—2442no—
1687Q8—2442no—
1688Q8—2442no—
1689D4—21no—
1690D4—21no—
1691D4—21no—
1692D4—21no—
1693D4—42no—
1694D4—81no—
1695D4—1221no—
1696D4—1221no—
1697D4—1221no—
1698D4—1221no—
1699D4—4881no—
1700D4—4881no—
1701D4—4881no—
1702D4—4881no—
1703D4—4881no—
1704D4—2442no—
1705D4—2442no—
1706D4—2442no—
1707D4—2442no—
1708D4—2442no—
1709D4—2442no—
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—42no—
1719C2×C4—42no—
1720C2×C4—81no—
1721C2×C4—611no—
1722C2×C4—612no—
1723C2×C4—612no—
1724C2×C4—611no—
1725C2×C4—611no—
1726C2×C4—611no—
1727C2×C4—611no—
1728C2×C4—611no—
1729C2×C4—1222no—
1730C2×C4—1222no—
1731C2×C4—1222no—
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—4881no—
1741C2×C4—4881no—
1742C2×C4—4881no—
1743C2×C4—2441no—
1744C2×C4—2441no—
1745C2×C4—2441no—
1746C2×C4—2441no—
1747C2×C4—2442no—
1748C2×C4—2442no—
1749C2×C4—2442no—
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×C4C2×D4×D6111yescharacteristic
1763C2×C4C24×D6111yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1221no—
1769C8—1221no—
1770C8—1221no—
1771C8—1221no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—612no—
1782C22—1221no—
1783C22—1221no—
1784C22—1221no—
1785C22—1221no—
1786C22—1221no—
1787C22—4884no—
1788C22—2444no—
1789C22—2441no—
1790C22—2441no—
1791C22—2441no—
1792C22—2441no—
1793C22—2441no—
1794C22—2441no—
1795C22C22×D4×D6111yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—612no—
1808C4—1221no—
1809C4—1221no—
1810C4—1221no—
1811C4—1221no—
1812C4—1221no—
1813C4—2441no—
1814C4—2441no—
1815C4—2441no—
1816C4—2441no—
1817C4—2441no—
1818C4—2441no—
1819C4H(5,𝔽2)×D6111yescharacteristic
1820C4H(5,𝔽2)×D6111yescharacteristic
1821C2—41no—
1822C2—81no—
1823C2—81no—
1824C2—1222no—
1825C2—4881no—
1826C2—4881no—
1827C2—2441no—
1828C2#535×D6111yescharacteristic
1829C2#2146060111yescharacteristic
1830C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3225C2
socleC22×C61C23×D4
hypercenter#3225D61
hypocenterC61#60807
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. #21459206C2semidirect
2. #536×D61C2semidirect
3. #21456931C2semidirect
4. #21456930C2semidirect
5. #21456929C2semidirect
6. #21456928C2semidirect
7. #21456923C2semidirect
8. #21456922C2semidirect
9. #21456921C2semidirect
10. #21456901C2semidirect
11. #21456900C2semidirect
12. #21456899C2semidirect
13. #21456898C2semidirect
14. #21456879C2semidirect
15. #21456878C2semidirect
16. #21456877C2semidirect
17. #21456876C2semidirect
18. #21456280C2semidirect
19. #21456275C2semidirect
20. #21456204C2semidirect
21. #21456196C2semidirect
22. #21455310C2semidirect
23. #21455308C2semidirect
24. #21455303C2semidirect
25. #21455301C2semidirect
26. #21455062C2semidirect
27. #21455057C2semidirect
28. #21455054C2semidirect
29. #21455050C2semidirect
30. #21454453C2semidirect
31. C61×#3225C2semidirect
42. #16840386C22semidirect
43. #16840383C22semidirect
44. #16840381C22semidirect
45. #16840372C22semidirect
46. #16840370C22semidirect
47. #16840365C22semidirect
48. #16840363C22semidirect
83. #16840157C22semidirect
84. #16840156C22semidirect
85. #16840155C22semidirect
86. #16840154C22semidirect
87. #16840153C22semidirect
88. #16840150C22semidirect
89. #16840148C22semidirect
90. #16840146C22semidirect
91. #16840144C22semidirect
92. #16840144C22semidirect
93. #16840140C22semidirect
94. #16840140C22semidirect
95. #16840133C22semidirect
96. #16840133C22semidirect
97. #16840129C22semidirect
98. #16840129C22semidirect
99. #16840129C22semidirect
100. #16840129C22semidirect
101. #16840124C22semidirect
102. #16840122C22semidirect
103. #16840121C22semidirect
104. #16840118C22semidirect
105. #16840118C22semidirect
106. #16840115C22semidirect
107. #16840115C22semidirect
108. #16840114C22semidirect
109. #16840113C22semidirect
110. #16840112C22semidirect
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
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
190. C61×#497C22semidirect
191. C61×#495C22semidirect
192. C61×#489C22semidirect
193. C61×#487C22semidirect
194. C61×#464C22semidirect
195. C61×#463C22semidirect
196. C61×#462C22semidirect
197. C61×#461C22semidirect
199. C61×#451C22semidirect
201. C61×#448C22semidirect
202. C61×#433C22semidirect
915. #3225D61semidirect
960. #542C2×D61semidirect
1005. #497C2×D61semidirect
1011. #495C2×D61semidirect
1023. #489C2×D61semidirect
1031. #487C2×D61semidirect
1039. #464C2×D61semidirect
1047. #463C2×D61semidirect
1055. #462C2×D61semidirect
1063. #461C2×D61semidirect
1079. #451C2×D61semidirect
1095. #448C2×D61semidirect
1103. #433C2×D61semidirect
1118. C61#60807semidirect

Maximal subgroups

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

subgroupindex
#214592062
#536×D612
#214569312
#214569302
#214569292
#214569282
#214569232
#214569222
#214569212
#214569012
#214569002
#214568992
#214568982
#214568792
#214568782
#214568772
#214568762
#214562802
#214562752
#214562042
#214561962
#214553102
#214553082
#214553032
#214553012
#214550622
#214550572
#214550542
#214550502
#214544532
C61×#32252
#6080761