Finite Group Databasebeta

← #30557048

Subgroups — #30557048

Order 15616.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459382C211yesmaximal, characteristic, complemented
2#548×D61C211yesmaximal, characteristic, complemented
3#21458090C211yesmaximal, characteristic, complemented
4#21458088C211yesmaximal, characteristic, complemented
5#21458067C211yesmaximal, characteristic, complemented
6#21458065C211yesmaximal, characteristic, complemented
7#21458012C211yesmaximal, characteristic, complemented
8#21458010C211yesmaximal, characteristic, complemented
9#21457932C211yesmaximal, characteristic, complemented
10#21457930C211yesmaximal, characteristic, complemented
11#21457884C211yesmaximal, characteristic, complemented
12#21457882C211yesmaximal, characteristic, complemented
13#21457804C211yesmaximal, characteristic, complemented
14#21457727C211yesmaximal, characteristic, complemented
15#21457725C211yesmaximal, characteristic, complemented
16#21457704C211yesmaximal, characteristic, complemented
17#21457702C211yesmaximal, characteristic, complemented
18#21456204C211yesmaximal, characteristic, complemented
19#21455764C211yesmaximal, characteristic, complemented
20#21455754C211yesmaximal, characteristic, complemented
21#21455625C211yesmaximal, characteristic, complemented
22#21455444C211yesmaximal, characteristic, complemented
23#21455435C211yesmaximal, characteristic, complemented
24#21455308C211yesmaximal, characteristic, complemented
25#21455057C211yesmaximal, characteristic, complemented
26#21455050C211yesmaximal, characteristic, complemented
27#21454641C211yesmaximal, characteristic, complemented
28#21454552C211yesmaximal, characteristic, complemented
29#21454335C211yesmaximal, characteristic, complemented
30C2×#16839769C211yesmaximal, characteristic, complemented
31C61×#3308C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C22×Q8×D61C2211yescharacteristic
34C2×#14519806C2211yescharacteristic
35C2×#14519806C2211yescharacteristic
36C2×#14519801C2211yescharacteristic
37C22×#11758189C2211yescharacteristic
38C2×M16×D61C2211yescharacteristic
39#16840486C2211yescharacteristic, complemented
40#16840477C2211yescharacteristic, complemented
41#16840469C2211yescharacteristic, complemented
42#16840464C2211yescharacteristic, complemented
43#16840464C2211yescharacteristic, complemented
44#16840447C2211yescharacteristic, complemented
45#16840447C2211yescharacteristic, complemented
46#16840446—21no—
47#16840435—21no—
48#16840435—21no—
49#16840424C2211yescharacteristic
50#16840423C2211yescharacteristic
51#16840422—21no—
52#16840422C2211yescharacteristic
53#16840421—21no—
54#16840421C2211yescharacteristic
55#16840420—21no—
56#16840420C2211yescharacteristic
57#16840419C2211yescharacteristic
58#16840418—21no—
59#16840418C2211yescharacteristic
60#16840400—21no—
61#16840317C2211yescharacteristic
62#16840298—21no—
63#16840289—21no—
64#16840289—21no—
65#124×D61—21no—
66#124×D61C2211yescharacteristic
67#16840272C2211yescharacteristic
68#16840272C2211yescharacteristic
69C22⋊Q8×D61—21no—
70C22⋊Q8×D61C2211yescharacteristic
71#121×D61—21no—
72#121×D61C2211yescharacteristic
73#41×Dic61—21no—
74C4×#11758224C2211yescharacteristic
75C4×Q8×D61C2211yescharacteristic
76C4×D4×D61—21no—
77C4×D4×D61C2211yescharacteristic
78C2×#14519735C2211yescharacteristic
79C2×#14519735C2211yescharacteristic
80#16840124C2211yescharacteristic, complemented
81#16840122C2211yescharacteristic, complemented
82#16840121C2211yescharacteristic, complemented
83#16840118C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840115C2211yescharacteristic, complemented
87#16840105C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840101C2211yescharacteristic, complemented
90#16840101C2211yescharacteristic, complemented
91#16840097C2211yescharacteristic, complemented
92#16840093C2211yescharacteristic, complemented
93#16840090C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840089C2211yescharacteristic, complemented
96#16840085C2211yescharacteristic, complemented
97#16840085C2211yescharacteristic, complemented
98#16840081C2211yescharacteristic, complemented
99#16840078C2211yescharacteristic, complemented
100#16840075C2211yescharacteristic, complemented
101#16840068C2211yescharacteristic, complemented
102#16840068C2211yescharacteristic, complemented
103#16840067C2211yescharacteristic, complemented
104#16840067C2211yescharacteristic, complemented
105#16840054C2211yescharacteristic, complemented
106#16840048C2211yescharacteristic, complemented
107#16840047C2211yescharacteristic, complemented
108#16840020C2211yescharacteristic, complemented
109#16840018C2211yescharacteristic, complemented
110#16840014C2211yescharacteristic, complemented
111#16840012C2211yescharacteristic, complemented
112#16840009C2211yescharacteristic, complemented
113#16840007C2211yescharacteristic, complemented
114#16840006C2211yescharacteristic, complemented
115#16840004C2211yescharacteristic, complemented
116#16840002C2211yescharacteristic, complemented
117#16839996C2211yescharacteristic, complemented
118#16839991C2211yescharacteristic, complemented
119#16839990C2211yescharacteristic, complemented
120#16839989C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839987C2211yescharacteristic, complemented
123#16839985C2211yescharacteristic, complemented
124#16839983C2211yescharacteristic, complemented
125#16839981C2211yescharacteristic, complemented
126#16839979C2211yescharacteristic, complemented
127#16839977C2211yescharacteristic, complemented
128#16839975C2211yescharacteristic, complemented
129#16839927C2211yescharacteristic, complemented
130#16839926C2211yescharacteristic, complemented
131#16839925C2211yescharacteristic, complemented
132#16839924C2211yescharacteristic, complemented
133#16839920C2211yescharacteristic, complemented
134#16839919C2211yescharacteristic, complemented
135#16839919C2211yescharacteristic, complemented
136#16839918C2211yescharacteristic, complemented
137#16839906C2211yescharacteristic, complemented
138#16839905C2211yescharacteristic, complemented
139#16839904C2211yescharacteristic, complemented
140#16839900C2211yescharacteristic, complemented
141#16839899C2211yescharacteristic, complemented
142#16839899C2211yescharacteristic, complemented
143#16839870C2211yescharacteristic, complemented
144#16839867C2211yescharacteristic, complemented
145#16839862C2211yescharacteristic, complemented
146#16839856C2211yescharacteristic, complemented
147#16839854C2211yescharacteristic, complemented
148#16839853C2211yescharacteristic, complemented
149SD16×Dic61C2211yescharacteristic, complemented
150#16839838C2211yescharacteristic, complemented
151#16839837C2211yescharacteristic, complemented
152#16839835C2211yescharacteristic, complemented
153#16839834C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic, complemented
155C8×C22⋊D61C2211yescharacteristic, complemented
156#16839825C2211yescharacteristic, complemented
157#16839803C2211yescharacteristic
158#16839803C2211yescharacteristic
159#16839803C2211yescharacteristic
160#16839784C2211yescharacteristic
161#16839769C2211yescharacteristic
162#16839769C2211yescharacteristic
163#16839769C2211yescharacteristic
164#16839769C2211yescharacteristic
165#16839769C2211yescharacteristic
166#16839769C2211yescharacteristic
167#16839769C2211yescharacteristic, complemented
168#16839769C2211yescharacteristic, complemented
169#16839769C2211yescharacteristic, complemented
170#16839769C2211yescharacteristic, complemented
171#16839765C2211yescharacteristic
172#16839765C2211yescharacteristic
173#16839765C2211yescharacteristic
174#16839764C2211yescharacteristic, complemented
175#16839763C2211yescharacteristic, complemented
176#16839761C2211yescharacteristic, complemented
177#16839760C2211yescharacteristic
178#16839757C2211yescharacteristic, complemented
179#16839757C2211yescharacteristic, complemented
180#16839755C2211yescharacteristic, complemented
181#16839755C2211yescharacteristic, complemented
182C2×#14519702C2211yescharacteristic, complemented
183C2×#14519701C2211yescharacteristic, complemented
184C2×#14519700C2211yescharacteristic, complemented
185#16839724C2211yescharacteristic
186#16839724C2211yescharacteristic
187#16839714C2211yescharacteristic
188C61×#548C2211yescharacteristic
189C61×#547C2211yescharacteristic, complemented
190C61×#489C2211yescharacteristic, complemented
191C61×#484C2211yescharacteristic, complemented
192C61×#480C2211yescharacteristic, complemented
193C61×#477C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#466C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic, complemented
198C61×#448C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C2×#103×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224C2311yescharacteristic
208C2×#11758224C2311yescharacteristic
209#41×D61—24no—
210#41×D61—42no—
211C22×Dic122—21no—
212C22×Dic122C2311yescharacteristic
213C2×Q8×D61—21no—
214C2×Q8×D61—21no—
215C2×Q8×D61—24no—
216C2×Q8×D61—42no—
217C2×Q8×D61C2311yescharacteristic
218C2×Q8×D61C2311yescharacteristic
219C2×Q8×D61C2311yescharacteristic
220C2×Q8×D61C2311yescharacteristic
221C2×D4×D61—21no—
222C2×D4×D61—21no—
223C2×D4×D61D411yescharacteristic
224C2×D4×D61C2311yescharacteristic
225C22×C4×D61—21no—
226C22×C4×D61—21no—
227C22×C4×D61C2311yescharacteristic
228C22×C4×D61C2311yescharacteristic
229#14519806—24no—
230#14519806—42no—
231#14519801—42no—
232C2×Dic244C2311yescharacteristic
233C2×Dic244C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758202C2311yescharacteristic
236C2×#11758190C2311yescharacteristic
237C2×#11758200C2311yescharacteristic
238C2×#11758200C2311yescharacteristic
239C2×#11758200C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241C2×#11758194C2311yescharacteristic
242C2×#11758189—42no—
243C2×#11758189C2311yescharacteristic
244C2×#11758189C2311yescharacteristic
245C2×#11758189C2311yescharacteristic
246C2×#11758189C2311yescharacteristic
247C2×#11758189C2311yescharacteristic
248C2×#11758189C2311yescharacteristic
249M16×D61—42no—
250C22×#92418C2311yescharacteristic
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253#14519777C2311yescharacteristic
254#14519772—21no—
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519770—21no—
259#14519770—21no—
260#14519768—21no—
261#14519768C2311yescharacteristic
262#14519768C2311yescharacteristic
263#14519767—21no—
264#14519767—21no—
265#14519766—21no—
266#14519766—21no—
267#14519766C2311yescharacteristic
268#14519765—21no—
269#14519765C2311yescharacteristic
270#14519764—21no—
271#14519764C2311yescharacteristic
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519761—21no—
281#14519761—21no—
282#14519760—21no—
283#14519760—21no—
284#14519759—21no—
285#14519759—21no—
286#14519757—21no—
287#14519757—21no—
288#14519757C2311yescharacteristic
289#14519757C2311yescharacteristic
290#14519757C2311yescharacteristic
291#14519756—21no—
292#14519756C2311yescharacteristic
293#14519756C2311yescharacteristic
294#14519756C2311yescharacteristic
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519753—21no—
304#14519753—21no—
305#14519753C2311yescharacteristic
306#14519752—21no—
307#14519752C2311yescharacteristic
308#14519751—21no—
309#14519751—21no—
310#14519751C2311yescharacteristic
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519749—21no—
319#14519748—21no—
320#14519748C2311yescharacteristic
321#14519748C2311yescharacteristic
322#14519748C2311yescharacteristic
323#14519745—21no—
324#14519745—21no—
325Q8×Dic61—21no—
326Q8×Dic61—21no—
327Q8×Dic61C2311yescharacteristic
328C4×Dic122—21no—
329C4×Dic122C2311yescharacteristic
330C4×Dic122C2311yescharacteristic
331#14519742—21no—
332#14519742—21no—
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335C4×D244—21no—
336C4×D244C2311yescharacteristic
337D4×Dic61—21no—
338D4×Dic61—21no—
339D4×Dic61—21no—
340D4×Dic61—21no—
341D4×Dic61—21no—
342D4×Dic61—21no—
343D4×Dic61D411yescharacteristic
344D4×Dic61C2311yescharacteristic
345#14519739—21no—
346#14519739D411yescharacteristic
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350C4×C22⋊D61C2311yescharacteristic
351C4×C22⋊D61C2311yescharacteristic
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737D411yescharacteristic
358#14519737D411yescharacteristic
359#14519736—21no—
360#14519736—21no—
361#14519736—21no—
362#14519735—21no—
363#14519735—21no—
364#14519735—21no—
365#14519735—21no—
366#14519735C2311yescharacteristic
367#14519735C2311yescharacteristic
368#14519735C2311yescharacteristic
369#14519735C2311yescharacteristic
370#14519735C2311yescharacteristic
371#14519735C2311yescharacteristic
372#14519735C2311yescharacteristic
373#14519733—21no—
374C2×C4⋊Dic61C2311yescharacteristic
375C2×C4⋊Dic61C2311yescharacteristic
376C4⋊C4×D61—21no—
377C4⋊C4×D61—21no—
378C4⋊C4×D61D411yescharacteristic
379C4⋊C4×D61C2311yescharacteristic
380C2×#11758198—21no—
381C2×#11758198—21no—
382C22⋊C4×D61—21no—
383C22⋊C4×D61—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61D411yescharacteristic
387C22⋊C4×D61D411yescharacteristic
388C2×C4×Dic61—21no—
389C2×C4×Dic61—21no—
390C2×C4×Dic61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519710C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519709C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519699C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442C8×Dic61C2311yescharacteristic
443C8×Dic61C2311yescharacteristic
444C2×#41×C61—21no—
445C2×#41×C61C2311yescharacteristic
446C22×Q8×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×D8×C61C2311yescharacteristic
450C2×M16×C61C2311yescharacteristic
451C22×C8×C61C2311yescharacteristic
452C4⋊Q8×C61C2311yescharacteristic
453#124×C61—21no—
454#124×C61C2311yescharacteristic
455#123×C61—21no—
456#123×C61—21no—
457C22⋊Q8×C61—21no—
458C22⋊Q8×C61—21no—
459C22⋊Q8×C61C2311yescharacteristic
460#121×C61—21no—
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463#121×C61C2311yescharacteristic
464C4×Q8×C61C2311yescharacteristic
465C4×D4×C61—21no—
466C4×D4×C61C2311yescharacteristic
467C4×D4×C61C2311yescharacteristic
468C2×C4⋊C4×C61C2311yescharacteristic
469C2×C4⋊C4×C61C2311yescharacteristic
470#107×C61C2311yescharacteristic
471#107×C61C2311yescharacteristic
472#107×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487C23×D61—21no—
488C23×D61C2×D411yescharacteristic
489C23×D61C2×D411yescharacteristic
490#41×C61—22no—
491#41×C61—41no—
492#41×C61—44no—
493C2×Q8×C61—21no—
494C2×Q8×C61—21no—
495C2×Q8×C61—22no—
496C2×Q8×C61—41no—
497C2×Q8×C61C2411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61C2×D411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61C2411yescharacteristic
512C22×C4×C61C2411yescharacteristic
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61C2×D411yescharacteristic
522C2×C22⋊D61C2×D411yescharacteristic
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61—21no—
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61C2×D411yescharacteristic
530C22×Dic61C2×D411yescharacteristic
531#11758226—22no—
532#11758226—41no—
533Q8×D61—22no—
534Q8×D61—22no—
535Q8×D61—22no—
536Q8×D61—22no—
537Q8×D61—22no—
538Q8×D61—41no—
539Q8×D61—41no—
540Q8×D61—44no—
541Q8×D61—44no—
542Q8×D61#4114yescomplemented
543#11758224—22no—
544#11758224—22no—
545#11758224—22no—
546#11758224—41no—
547#11758224—44no—
548D4×D61—22no—
549D4×D61—22no—
550D4×D61—44no—
551D4×D61—42no—
552D4×D61—44no—
553#11758222—22no—
554#11758222—44no—
555#11758222—41no—
556C2×D244—21no—
557C2×D244—21no—
558C2×D244C2×D411yescharacteristic
559C2×D244C2411yescharacteristic
560C2×C4×D61—21no—
561C2×C4×D61—22no—
562C2×C4×D61—22no—
563C2×C4×D61—22no—
564C2×C4×D61—22no—
565C2×C4×D61—21no—
566C2×C4×D61—21no—
567C2×C4×D61—21no—
568C2×C4×D61—21no—
569C2×C4×D61—21no—
570C2×C4×D61—21no—
571C2×C4×D61—44no—
572C2×C4×D61—44no—
573C2×C4×D61C2×D411yescharacteristic
574C2×C4×D61C2×D411yescharacteristic
575C2×C4×D61C2×D411yescharacteristic
576C2×C4×D61C2×D411yescharacteristic
577C2×C4×D61C2×D411yescharacteristic
578C2×C4×D61C2×D411yescharacteristic
579C2×C4×D61C2411yescharacteristic
580C2×C4×D61C2411yescharacteristic
581C2×C4×D61C2411yescharacteristic
582C2×Dic122—21no—
583C2×Dic122—22no—
584C2×Dic122—21no—
585C2×Dic122—21no—
586C2×Dic122—21no—
587C2×Dic122—21no—
588C2×Dic122—21no—
589C2×Dic122—41no—
590C2×Dic122—44no—
591C2×Dic122C2411yescharacteristic
592C2×Dic122C2411yescharacteristic
593C2×Dic122C2411yescharacteristic
594SD16×C61—22no—
595SD16×C61—41no—
596D8×C61—41no—
597M16×C61—41no—
598C2×C8×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×C61C2×D411yescharacteristic
609C4⋊C4×C61C2411yescharacteristic
610C4⋊C4×C61C2411yescharacteristic
611C4⋊C4×C61C2411yescharacteristic
612C4⋊C4×C61C2411yescharacteristic
613C22⋊C4×C61—21no—
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×C61C2×D411yescharacteristic
621C22⋊C4×C61C2×D411yescharacteristic
622C42×C61—21no—
623C42×C61C2411yescharacteristic
624C22⋊Dic61—21no—
625C22⋊Dic61—21no—
626C22⋊Dic61—21no—
627C22⋊Dic61—21no—
628C22⋊Dic61—21no—
629C22⋊Dic61—21no—
630C22⋊Dic61—21no—
631C22⋊Dic61—21no—
632C22⋊Dic61—21no—
633C22⋊Dic61C2×D411yescharacteristic
634C22⋊Dic61C2×D411yescharacteristic
635#11758202—22no—
636#11758202—41no—
637#11758200—22no—
638#11758200—41no—
639#11758200—41no—
640#11758199—41no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198C2×D411yescharacteristic
659#11758198C2×D411yescharacteristic
660#11758198C2×D411yescharacteristic
661#11758198C2×D411yescharacteristic
662C4⋊Dic61—21no—
663C4⋊Dic61—21no—
664C4⋊Dic61—21no—
665C4⋊Dic61—21no—
666C4⋊Dic61—21no—
667C4⋊Dic61—21no—
668C4⋊Dic61—21no—
669C4⋊Dic61—21no—
670C4⋊Dic61—21no—
671C4⋊Dic61C2×D411yescharacteristic
672C4⋊Dic61C2411yescharacteristic
673C4⋊Dic61C2411yescharacteristic
674C4⋊Dic61C2411yescharacteristic
675C4⋊Dic61C2411yescharacteristic
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196C2×D411yescharacteristic
688#11758196C2×D411yescharacteristic
689C4×Dic61—21no—
690C4×Dic61—21no—
691C4×Dic61—21no—
692C4×Dic61—21no—
693C4×Dic61—21no—
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61C2×D411yescharacteristic
702C4×Dic61C2×D411yescharacteristic
703C4×Dic61C2411yescharacteristic
704#11758194—41no—
705C2×#92418—41no—
706C2×#92418C2411yescharacteristic
707C2×#92418C2411yescharacteristic
708C2×#92418C2411yescharacteristic
709C2×#92418C2411yescharacteristic
710Dic244—22no—
711Dic244—41no—
712#11758190—41no—
713#11758189—22no—
714#11758189—22no—
715#11758189—22no—
716#11758189—22no—
717#11758189—41no—
718#11758189—41no—
719C8×D61—41no—
720C8×D61—41no—
721C23×C61—21no—
722C23×C61—21no—
723C23×C61C22×D411yescharacteristic
724C23×C61C22×D411yescharacteristic
725C22×D61—22no—
726C22×D61—22no—
727C22×D61—22no—
728C22×D61—21no—
729C22×D61—41no—
730C22×D61—41no—
731C22×D61—41no—
732C22×D61—42no—
733C22×D61—42no—
734C22×D61—42no—
735C22×D61C22×D411yescharacteristic
736C22×D61C22×D411yescharacteristic
737C22×D61C22×D411yescharacteristic
738Q8×C61—21no—
739Q8×C61—21no—
740Q8×C61—21no—
741Q8×C61—42no—
742Q8×C61—42no—
743Q8×C61C2×#4112yes—
744D4×C61—22no—
745D4×C61—21no—
746D4×C61—21no—
747D4×C61—21no—
748D4×C61—21no—
749D4×C61—42no—
750D4×C61—42no—
751D4×C61—42no—
752D4×C61—42no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—42no—
764C2×C4×C61—42no—
765C2×C4×C61—42no—
766C2×C4×C61—42no—
767C2×C4×C61—42no—
768C2×C4×C61C22×D411yescharacteristic
769C2×C4×C61C22×D411yescharacteristic
770C2×C4×C61C22×D411yescharacteristic
771C2×C4×C61C22×D411yescharacteristic
772C2×C4×C61C2511yescharacteristic
773C22⋊D61—22no—
774C22⋊D61—41no—
775C22⋊D61—42no—
776C22⋊D61—42no—
777C22⋊D61—42no—
778C22⋊D61—42no—
779C22⋊D61—42no—
780C22⋊D61—42no—
781C22⋊D61—81no—
782C22⋊D61—81no—
783C2×Dic61—21no—
784C2×Dic61—22no—
785C2×Dic61—22no—
786C2×Dic61—21no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—42no—
793C2×Dic61—42no—
794C2×Dic61—42no—
795C2×Dic61—81no—
796C2×Dic61—81no—
797C2×Dic61—81no—
798C2×Dic61C22×D411yescharacteristic
799C2×Dic61C22×D411yescharacteristic
800C2×Dic61C22×D411yescharacteristic
801C2×Dic61C22×D411yescharacteristic
802C2×Dic61C22×D411yescharacteristic
803D244—21no—
804D244—21no—
805D244—41no—
806D244—42no—
807D244—42no—
808C4×D61—22no—
809C4×D61—22no—
810C4×D61—24no—
811C4×D61—21no—
812C4×D61—21no—
813C4×D61—21no—
814C4×D61—21no—
815C4×D61—22no—
816C4×D61—22no—
817C4×D61—41no—
818C4×D61—41no—
819C4×D61—42no—
820C4×D61—42no—
821C4×D61—42no—
822C4×D61—42no—
823C4×D61—42no—
824C4×D61—42no—
825C4×D61C2×#4112yes—
826C4×D61H(5,𝔽2)12yes—
827Dic122—21no—
828Dic122—24no—
829Dic122—21no—
830Dic122—21no—
831Dic122—21no—
832Dic122—21no—
833Dic122—42no—
834Dic122—42no—
835Dic122—42no—
836Dic122—42no—
837Dic122—81no—
838Dic122C2×#4112yes—
839C8×C61—21no—
840C8×C61—21no—
841C8×C61—21no—
842C8×C61—21no—
843#92418—21no—
844#92418—21no—
845#92418—21no—
846#92418—21no—
847#61158—611nomaximal, Sylow
848C22×C61—21no—
849C22×C61—21no—
850C22×C61—21no—
851C22×C61—21no—
852C22×C61—21no—
853C22×C61—41no—
854C22×C61—41no—
855C22×C61—41no—
856C22×C61—41no—
857C22×C61—41no—
858C22×C61—41no—
859C22×C61#57512yes—
860C22×C61C23×D411yescharacteristic
861C2×D61—21no—
862C2×D61—21no—
863C2×D61—21no—
864C2×D61—21no—
865C2×D61—21no—
866C2×D61—21no—
867C2×D61—21no—
868C2×D61—21no—
869C2×D61—44no—
870C2×D61—41no—
871C2×D61—41no—
872C2×D61—41no—
873C2×D61—82no—
874C2×D61—84no—
875C2×D61#54612yes—
876C4×C61—21no—
877C4×C61—22no—
878C4×C61—21no—
879C4×C61—21no—
880C4×C61—21no—
881C4×C61—41no—
882C4×C61—41no—
883C4×C61—41no—
884C4×C61—41no—
885C4×C61—41no—
886C4×C61C22×#4111yescharacteristic
887C4×C61C2×H(5,𝔽2)11yescharacteristic
888Dic61—21no—
889Dic61—22no—
890Dic61—21no—
891Dic61—21no—
892Dic61—21no—
893Dic61—41no—
894Dic61—41no—
895Dic61—41no—
896Dic61—41no—
897Dic61—41no—
898Dic61—41no—
899Dic61#54612yes—
900#3475—611no—
901C2×#548—611no—
902#3327—611no—
903#3327—611no—
904#3326—611no—
905#3326—611no—
906#3321—611no—
907#3321—611no—
908#3316—611no—
909#3316—611no—
910#3313—611no—
911#3313—611no—
912#3308—611no—
913#3308D6111yescharacteristic, complemented
914#3301—611no—
915#3301—611no—
916#3300—611no—
917#3300—611no—
918#3140—611no—
919#3095—611no—
920#3094—611no—
921#3078—611no—
922#3056—611no—
923#3055—611no—
924#3040—611no—
925#3005—611no—
926#3004—611no—
927C4×#137—611no—
928D4×M16—611no—
929#2896—611no—
930C2×#419—611no—
931C2×C61—22no—
932C2×C61—41no—
933C2×C61—81no—
934C2×C61—81no—
935C2×C61C2×#54611yescharacteristic
936C2×C61C2×#57511yescharacteristic
937C2×C61#358611yescharacteristic
938D61—22no—
939D61—41no—
940D61—41no—
941D61—81no—
942C22×#41—611no—
943C23×Q8—611no—
944C2×#137—611no—
945C2×#137—611no—
946C2×AGL(1,ℤ/8)—611no—
947C22×M16—611no—
948C22×M16—611no—
949#556—611no—
950#555—611no—
951#554—611no—
952#553—611no—
953#553—611no—
954#552—611no—
955#552—611no—
956#552—1221no—
957#551—1221no—
958#551—1221no—
959#548—611no—
960#548—611no—
961#548—611no—
962#548—611no—
963#548—611no—
964#548—611no—
965#548—611no—
966#548—1221no—
967#548—1221no—
968#548—1221no—
969#548—1221no—
970#548C2×D6111yescharacteristic
971#547C2×D6111yescharacteristic, complemented
972#546—1221no—
973#533—611no—
974#529—1221no—
975#529—1221no—
976#529—1221no—
977C2×#124—611no—
978C2×#124—1221no—
979#525—611no—
980#525—611no—
981C2×C22⋊Q8—611no—
982C2×C22⋊Q8—1221no—
983C2×#121—611no—
984C2×#121—1221no—
985C4×#41—611no—
986C4×#41—1221no—
987C2×C4×Q8—611no—
988C2×C4×D4—611no—
989C2×C4×D4—1221no—
990C2×#117—611no—
991C2×#117—611no—
992#489—611no—
993#489—611no—
994#489—611no—
995#489C2×D6111yescharacteristic, complemented
996#488—611no—
997#488—611no—
998#488—611no—
999#488—611no—
1000#485—611no—
1001#485—611no—
1002#485—611no—
1003#485—611no—
1004#484—611no—
1005#484C2×D6111yescharacteristic, complemented
1006#483—611no—
1007#483—611no—
1008#482—611no—
1009#482—611no—
1010#482—611no—
1011#482—611no—
1012#481—611no—
1013#481—611no—
1014#480—611no—
1015#480C2×D6111yescharacteristic, complemented
1016#479—611no—
1017#479—611no—
1018#479—611no—
1019#479—611no—
1020#477—611no—
1021#477C2×D6111yescharacteristic, complemented
1022#475—611no—
1023#475—611no—
1024#470—611no—
1025#470—611no—
1026#469—611no—
1027#469—611no—
1028#468—611no—
1029#468—611no—
1030#468—611no—
1031#468C2×D6111yescharacteristic, complemented
1032#467—611no—
1033#467—611no—
1034#466—611no—
1035#466C2×D6111yescharacteristic, complemented
1036#465—611no—
1037#465—611no—
1038#465—611no—
1039#465—611no—
1040#464—611no—
1041#464—611no—
1042#464—611no—
1043#464—611no—
1044#463—611no—
1045#463—611no—
1046#463—611no—
1047#463C2×D6111yescharacteristic, complemented
1048#452—611no—
1049#452—611no—
1050#452—611no—
1051#452—611no—
1052#451—611no—
1053#451—611no—
1054#451—611no—
1055#451—611no—
1056#449—611no—
1057#449—611no—
1058#449—611no—
1059#449C2×D6111yescharacteristic, complemented
1060#448—611no—
1061#448—611no—
1062#448—611no—
1063#448C2×D6111yescharacteristic, complemented
1064#441—611no—
1065#441—611no—
1066#440—611no—
1067#440C2×D6111yescharacteristic, complemented
1068C4×Q16—611no—
1069C4×Q16—611no—
1070C4×SD16—611no—
1071C4×SD16—611no—
1072#436—611no—
1073#436—611no—
1074#435—611no—
1075#435—611no—
1076#435—611no—
1077#435C2×D6111yescharacteristic, complemented
1078C8×D4—611no—
1079C8×D4—611no—
1080#428—611no—
1081#428—611no—
1082#428—611no—
1083#423—611no—
1084#419—611no—
1085#419—611no—
1086#419—611no—
1087#419—611no—
1088#419—611no—
1089#419—611no—
1090#419—611no—
1091#419—611no—
1092#419—611no—
1093#419—611no—
1094#418—611no—
1095#418—611no—
1096#418—611no—
1097#417—611no—
1098#417—611no—
1099#417—611no—
1100#417—611no—
1101#417C2×D6111yescharacteristic, complemented
1102#416—611no—
1103#416—611no—
1104#416—611no—
1105#416—611no—
1106C2×#103—611no—
1107C2×#103—611no—
1108C2×#103—611no—
1109C2×#103C2×D6111yescharacteristic, complemented
1110#407—611no—
1111#407—611no—
1112C4×M16—611no—
1113C61#6115811yescharacteristic, complemented, Sylow
1114C2×#41—21no—
1115C2×#41—611no—
1116C2×#41—611no—
1117C2×#41—611no—
1118C2×#41—611no—
1119C2×#41—1221no—
1120C2×#41—1221no—
1121C2×#41—1224no—
1122C2×#41—2442no—
1123C2×#41C22×D6111yescharacteristic
1124C22×Q8—611no—
1125C22×Q8—611no—
1126C22×Q8—611no—
1127C22×Q8—611no—
1128C22×Q8—611no—
1129C22×Q8—1221no—
1130C22×Q8—1221no—
1131C22×Q8—1221no—
1132C22×Q8—1224no—
1133C22×Q8—2442no—
1134C22×Q8C22×D6111yescharacteristic
1135C22×D4—611no—
1136C22×D4—611no—
1137C22×D4—1221no—
1138C22×D4—1221no—
1139C23×C4—611no—
1140C23×C4—611no—
1141C23×C4—1221no—
1142C23×C4—1221no—
1143#137—1224no—
1144#137—2442no—
1145AGL(1,ℤ/8)—2442no—
1146C2×Q16—611no—
1147C2×Q16—611no—
1148C2×Q16—611no—
1149C2×Q16—611no—
1150C2×SD16—611no—
1151C2×SD16—611no—
1152C2×SD16—611no—
1153C2×SD16—611no—
1154C2×SD16C22×D6111yescharacteristic
1155C2×SD16C22×D6111yescharacteristic
1156C2×D8—611no—
1157C2×D8C22×D6111yescharacteristic
1158C2×M16—611no—
1159C2×M16—611no—
1160C2×M16—611no—
1161C2×M16—611no—
1162C2×M16—611no—
1163C2×M16—611no—
1164C2×M16—611no—
1165C2×M16—2442no—
1166C2×M16—2442no—
1167C2×M16C22×D6111yescharacteristic
1168C22×C8—611no—
1169C22×C8—611no—
1170C22×C8—611no—
1171C22×C8C22×D6111yescharacteristic
1172C4⋊Q8—611no—
1173C4⋊Q8C22×D6111yescharacteristic
1174#126—1221no—
1175#126—1221no—
1176#126—1221no—
1177#126—1221no—
1178#126—1221no—
1179#126—1221no—
1180#125—611no—
1181#125—611no—
1182#125—1221no—
1183#125—1221no—
1184#125—1221no—
1185#124—21no—
1186#124—611no—
1187#124—611no—
1188#124—611no—
1189#124—1221no—
1190#124—1221no—
1191#124—1221no—
1192#124—1221no—
1193#124—1221no—
1194#124—1221no—
1195#124—1221no—
1196#124—1221no—
1197#124—1221no—
1198#124—1221no—
1199#124—1221no—
1200#124—1221no—
1201#124C22×D6111yescharacteristic
1202#123—21no—
1203#123—21no—
1204#123—1221no—
1205#123—1221no—
1206#123—1221no—
1207#123—1221no—
1208#123—1221no—
1209#123—1221no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—611no—
1213C22⋊Q8—611no—
1214C22⋊Q8—611no—
1215C22⋊Q8—611no—
1216C22⋊Q8—611no—
1217C22⋊Q8—611no—
1218C22⋊Q8—611no—
1219C22⋊Q8—1221no—
1220C22⋊Q8—1221no—
1221C22⋊Q8—1221no—
1222C22⋊Q8—1221no—
1223C22⋊Q8—1221no—
1224C22⋊Q8—1221no—
1225C22⋊Q8—1221no—
1226C22⋊Q8—1221no—
1227C22⋊Q8—1221no—
1228C22⋊Q8—1221no—
1229C22⋊Q8—1221no—
1230C22⋊Q8—1221no—
1231C22⋊Q8—1221no—
1232C22⋊Q8C22×D6111yescharacteristic
1233#121—21no—
1234#121—611no—
1235#121—611no—
1236#121—611no—
1237#121—611no—
1238#121—611no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121—1221no—
1251#121C22×D6111yescharacteristic
1252#121C22×D6111yescharacteristic
1253#121C22×D6111yescharacteristic
1254#120—1221no—
1255#120—1221no—
1256C4×Q8—611no—
1257C4×Q8—611no—
1258C4×Q8—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—1221no—
1262C4×Q8—1221no—
1263C4×Q8—1221no—
1264C4×Q8—1221no—
1265C4×Q8—1221no—
1266C4×Q8C22×D6111yescharacteristic
1267C4×D4—21no—
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—1221no—
1277C4×D4—1221no—
1278C4×D4—1221no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4C22×D6111yescharacteristic
1293C4×D4C22×D6111yescharacteristic
1294#117—611no—
1295#117—611no—
1296#117—611no—
1297#117—611no—
1298#117—611no—
1299#117—611no—
1300#117—611no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117—1221no—
1306#117—1221no—
1307#117—1221no—
1308#117—1221no—
1309C2×C4⋊C4—611no—
1310C2×C4⋊C4—611no—
1311C2×C4⋊C4—611no—
1312C2×C4⋊C4—611no—
1313C2×C4⋊C4—1221no—
1314C2×C4⋊C4—1221no—
1315C2×C4⋊C4C22×D6111yescharacteristic
1316C2×C4⋊C4C22×D6111yescharacteristic
1317C2×C22⋊C4—611no—
1318C2×C22⋊C4—611no—
1319C2×C22⋊C4—1221no—
1320C2×C22⋊C4—1221no—
1321C2×C22⋊C4—1221no—
1322C2×C22⋊C4—1221no—
1323C2×C22⋊C4—1221no—
1324C2×C22⋊C4—1221no—
1325C2×C42—611no—
1326C2×C42—1221no—
1327C2×C42—1221no—
1328C2×C42—1221no—
1329C2×C42—1221no—
1330#107—611no—
1331#107—611no—
1332#107—611no—
1333#107C22×D6111yescharacteristic
1334#107C22×D6111yescharacteristic
1335#107C22×D6111yescharacteristic
1336#106—611no—
1337#106—611no—
1338#106—611no—
1339#106—611no—
1340#106—611no—
1341#106—611no—
1342C4⋊C8—611no—
1343C4⋊C8—611no—
1344C4⋊C8—611no—
1345C4⋊C8C22×D6111yescharacteristic
1346#103—611no—
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103—611no—
1351#103—611no—
1352#103—611no—
1353#103—611no—
1354#103—611no—
1355#103—611no—
1356#103—611no—
1357#103—611no—
1358#103—611no—
1359#103—611no—
1360#103—611no—
1361#103—611no—
1362#103—611no—
1363#103—611no—
1364#103—611no—
1365#103—611no—
1366#103C22×D6111yescharacteristic
1367#103C22×D6111yescharacteristic
1368#103C22×D6111yescharacteristic
1369#103C22×D6111yescharacteristic
1370#103C22×D6111yescharacteristic
1371#103C22×D6111yescharacteristic
1372#102—611no—
1373#102—611no—
1374#102—611no—
1375#102—611no—
1376#102—611no—
1377#102—611no—
1378#102—611no—
1379#102—611no—
1380#102—611no—
1381#102—611no—
1382#102C22×D6111yescharacteristic
1383#102C22×D6111yescharacteristic
1384#102C22×D6111yescharacteristic
1385#102C22×D6111yescharacteristic
1386C22⋊C8—611no—
1387C22⋊C8—611no—
1388C22⋊C8—611no—
1389C22⋊C8—611no—
1390C22⋊C8—611no—
1391C22⋊C8—611no—
1392C22⋊C8C22×D6111yescharacteristic
1393C22⋊C8C22×D6111yescharacteristic
1394#97—611no—
1395#97C22×D6111yescharacteristic
1396C4×C8—611no—
1397C4×C8—611no—
1398C24—611no—
1399C24—611no—
1400C24—1221no—
1401#41—22no—
1402#41—41no—
1403#41—44no—
1404#41—1222no—
1405#41—1222no—
1406#41—1222no—
1407#41—1222no—
1408#41—1222no—
1409#41—2441no—
1410#41—2444no—
1411#41—2441no—
1412#41—2444no—
1413#41—2441no—
1414C2×Q8—21no—
1415C2×Q8—21no—
1416C2×Q8—22no—
1417C2×Q8—41no—
1418C2×Q8—614no—
1419C2×Q8—611no—
1420C2×Q8—611no—
1421C2×Q8—611no—
1422C2×Q8—1221no—
1423C2×Q8—1221no—
1424C2×Q8—1221no—
1425C2×Q8—1221no—
1426C2×Q8—1222no—
1427C2×Q8—1222no—
1428C2×Q8—1222no—
1429C2×Q8—1222no—
1430C2×Q8—1221no—
1431C2×Q8—1221no—
1432C2×Q8—1222no—
1433C2×Q8—1222no—
1434C2×Q8—2441no—
1435C2×Q8—2444no—
1436C2×Q8—2444no—
1437C2×Q8—2441no—
1438C2×Q8—2441no—
1439C2×Q8—2444no—
1440C2×Q8C23×D6111yescharacteristic
1441C2×Q8C23×D6111yescharacteristic
1442C2×D4—21no—
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—611no—
1447C2×D4—611no—
1448C2×D4—611no—
1449C2×D4—611no—
1450C2×D4—1221no—
1451C2×D4—1221no—
1452C2×D4—1222no—
1453C2×D4—1222no—
1454C2×D4—1221no—
1455C2×D4—1221no—
1456C2×D4—1221no—
1457C2×D4—1221no—
1458C2×D4—1221no—
1459C2×D4—1221no—
1460C2×D4—1221no—
1461C2×D4—1221no—
1462C2×D4—2444no—
1463C2×D4—2442no—
1464C2×D4—2444no—
1465C2×D4D4×D6111yescharacteristic
1466C2×D4C23×D6111yescharacteristic
1467C2×D4C23×D6111yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—611no—
1474C22×C4—611no—
1475C22×C4—611no—
1476C22×C4—611no—
1477C22×C4—611no—
1478C22×C4—611no—
1479C22×C4—611no—
1480C22×C4—611no—
1481C22×C4—611no—
1482C22×C4—611no—
1483C22×C4—611no—
1484C22×C4—1222no—
1485C22×C4—1222no—
1486C22×C4—1222no—
1487C22×C4—1222no—
1488C22×C4—1221no—
1489C22×C4—1221no—
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—2444no—
1502C22×C4—2444no—
1503C22×C4C23×D6111yescharacteristic
1504C22×C4C23×D6111yescharacteristic
1505Q16—1222no—
1506Q16—1222no—
1507Q16—2441no—
1508Q16—2441no—
1509SD16—22no—
1510SD16—41no—
1511SD16—1222no—
1512SD16—2441no—
1513SD16—2441no—
1514SD16—2441no—
1515D8—41no—
1516D8—2441no—
1517M16—41no—
1518M16—1222no—
1519M16—1222no—
1520M16—1222no—
1521M16—1222no—
1522M16—2441no—
1523M16—2441no—
1524M16—2441no—
1525C2×C8—41no—
1526C2×C8—611no—
1527C2×C8—611no—
1528C2×C8—611no—
1529C2×C8—611no—
1530C2×C8—2441no—
1531C2×C8—2441no—
1532C2×C8—2441no—
1533C2×C8C23×D6111yescharacteristic
1534C2×C8C23×D6111yescharacteristic
1535C2×C8C23×D6111yescharacteristic
1536C2×C8C23×D6111yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—611no—
1543C4⋊C4—611no—
1544C4⋊C4—611no—
1545C4⋊C4—611no—
1546C4⋊C4—611no—
1547C4⋊C4—611no—
1548C4⋊C4—611no—
1549C4⋊C4—1221no—
1550C4⋊C4—1221no—
1551C4⋊C4—1221no—
1552C4⋊C4—1221no—
1553C4⋊C4—1221no—
1554C4⋊C4—1221no—
1555C4⋊C4—1221no—
1556C4⋊C4—1221no—
1557C4⋊C4—1221no—
1558C4⋊C4—1221no—
1559C4⋊C4—1221no—
1560C4⋊C4—1221no—
1561C4⋊C4—1221no—
1562C4⋊C4—1221no—
1563C4⋊C4—1221no—
1564C4⋊C4—1221no—
1565C4⋊C4—1221no—
1566C4⋊C4—1221no—
1567C4⋊C4—1221no—
1568C4⋊C4—1221no—
1569C4⋊C4D4×D6111yescharacteristic
1570C4⋊C4C23×D6111yescharacteristic
1571C4⋊C4C23×D6111yescharacteristic
1572C4⋊C4C23×D6111yescharacteristic
1573C4⋊C4C23×D6111yescharacteristic
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—611no—
1582C22⋊C4—611no—
1583C22⋊C4—611no—
1584C22⋊C4—611no—
1585C22⋊C4—611no—
1586C22⋊C4—611no—
1587C22⋊C4—1221no—
1588C22⋊C4—1221no—
1589C22⋊C4—1221no—
1590C22⋊C4—1221no—
1591C22⋊C4—1221no—
1592C22⋊C4—1221no—
1593C22⋊C4—1221no—
1594C22⋊C4—1221no—
1595C22⋊C4—1221no—
1596C22⋊C4—1221no—
1597C22⋊C4—1221no—
1598C22⋊C4—1221no—
1599C22⋊C4—1221no—
1600C22⋊C4—1221no—
1601C22⋊C4—1221no—
1602C22⋊C4—1221no—
1603C22⋊C4—1221no—
1604C22⋊C4—1221no—
1605C22⋊C4—1221no—
1606C22⋊C4—1221no—
1607C22⋊C4—1221no—
1608C22⋊C4—1221no—
1609C22⋊C4—1221no—
1610C22⋊C4—1221no—
1611C22⋊C4—1221no—
1612C22⋊C4—1221no—
1613C22⋊C4D4×D6111yescharacteristic
1614C22⋊C4D4×D6111yescharacteristic
1615C42—21no—
1616C42—611no—
1617C42—611no—
1618C42—611no—
1619C42—1221no—
1620C42—1221no—
1621C42—1221no—
1622C42—1221no—
1623C42—1221no—
1624C42—1221no—
1625C42—1221no—
1626C42—1221no—
1627C42—1221no—
1628C42—1221no—
1629C42—1221no—
1630C42—1221no—
1631C42C23×D6111yescharacteristic
1632C23—21no—
1633C23—21no—
1634C23—611no—
1635C23—611no—
1636C23—611no—
1637C23—1222no—
1638C23—1222no—
1639C23—1222no—
1640C23—1221no—
1641C23—2441no—
1642C23—2441no—
1643C23—2441no—
1644C23—2442no—
1645C23—2442no—
1646C23—2442no—
1647C23C2×D4×D6111yescharacteristic
1648C23C2×D4×D6111yescharacteristic
1649Q8—21no—
1650Q8—21no—
1651Q8—21no—
1652Q8—42no—
1653Q8—42no—
1654Q8—612no—
1655Q8—1224no—
1656Q8—1221no—
1657Q8—1221no—
1658Q8—1221no—
1659Q8—1221no—
1660Q8—1221no—
1661Q8—4881no—
1662Q8—2442no—
1663Q8—2442no—
1664Q8—2442no—
1665Q8—2442no—
1666Q8#41×D6112yes—
1667D4—22no—
1668D4—21no—
1669D4—21no—
1670D4—21no—
1671D4—21no—
1672D4—42no—
1673D4—42no—
1674D4—42no—
1675D4—42no—
1676D4—1222no—
1677D4—1221no—
1678D4—1221no—
1679D4—4881no—
1680D4—4881no—
1681D4—2441no—
1682D4—2442no—
1683D4—2442no—
1684D4—2442no—
1685D4—2441no—
1686D4—2442no—
1687D4—2442no—
1688D4—2442no—
1689D4—2442no—
1690D4—2442no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—42no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—611no—
1707C2×C4—612no—
1708C2×C4—612no—
1709C2×C4—611no—
1710C2×C4—611no—
1711C2×C4—611no—
1712C2×C4—611no—
1713C2×C4—1222no—
1714C2×C4—1222no—
1715C2×C4—1222no—
1716C2×C4—1222no—
1717C2×C4—1224no—
1718C2×C4—1222no—
1719C2×C4—1222no—
1720C2×C4—1221no—
1721C2×C4—1221no—
1722C2×C4—1221no—
1723C2×C4—1221no—
1724C2×C4—1221no—
1725C2×C4—1221no—
1726C2×C4—1221no—
1727C2×C4—1221no—
1728C2×C4—1221no—
1729C2×C4—1221no—
1730C2×C4—1221no—
1731C2×C4—4881no—
1732C2×C4—4881no—
1733C2×C4—4881no—
1734C2×C4—2441no—
1735C2×C4—2441no—
1736C2×C4—2442no—
1737C2×C4—2442no—
1738C2×C4—2442no—
1739C2×C4—2442no—
1740C2×C4—2442no—
1741C2×C4—2442no—
1742C2×C4—2442no—
1743C2×C4—2442no—
1744C2×C4—2442no—
1745C2×C4C2×D4×D6111yescharacteristic
1746C2×C4C2×D4×D6111yescharacteristic
1747C2×C4C2×D4×D6111yescharacteristic
1748C2×C4C2×D4×D6111yescharacteristic
1749C2×C4C24×D6111yescharacteristic
1750C8—21no—
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—1221no—
1755C8—1221no—
1756C8—1221no—
1757C8—1221no—
1758C22—21no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—612no—
1770C22—1221no—
1771C22—1221no—
1772C22—1221no—
1773C22—1221no—
1774C22—1221no—
1775C22—1221no—
1776C22—1221no—
1777C22—1221no—
1778C22—4882no—
1779C22—4884no—
1780C22—2444no—
1781C22—2441no—
1782C22—2441no—
1783C22—2441no—
1784C22#1684055812yes—
1785C22C22×D4×D6111yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—22no—
1789C4—21no—
1790C4—21no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—612no—
1797C4—1221no—
1798C4—1221no—
1799C4—1222no—
1800C4—1221no—
1801C4—1221no—
1802C4—2441no—
1803C4—2441no—
1804C4—2441no—
1805C4—2441no—
1806C4—2441no—
1807C4—2441no—
1808C4C2×#41×D6111yescharacteristic
1809C4H(5,𝔽2)×D6111yescharacteristic
1810C2—22no—
1811C2—41no—
1812C2—81no—
1813C2—81no—
1814C2—1222no—
1815C2—4881no—
1816C2—2441no—
1817C2—2441no—
1818C2#546×D6111yescharacteristic
1819C2C2×#1684055811yescharacteristic
1820C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3308C2
socleC22×C61C23×D4
hypercenter#3308D61
hypocenterC61#61158
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #21459382C2semidirect
2. #548×D61C2semidirect
3. #21458090C2semidirect
4. #21458088C2semidirect
5. #21458067C2semidirect
6. #21458065C2semidirect
7. #21458012C2semidirect
8. #21458010C2semidirect
9. #21457932C2semidirect
10. #21457930C2semidirect
11. #21457884C2semidirect
12. #21457882C2semidirect
13. #21457804C2semidirect
14. #21457727C2semidirect
15. #21457725C2semidirect
16. #21457704C2semidirect
17. #21457702C2semidirect
18. #21456204C2semidirect
19. #21455764C2semidirect
20. #21455754C2semidirect
21. #21455625C2semidirect
22. #21455444C2semidirect
23. #21455435C2semidirect
24. #21455308C2semidirect
25. #21455057C2semidirect
26. #21455050C2semidirect
27. #21454641C2semidirect
28. #21454552C2semidirect
29. #21454335C2semidirect
30. C2×#16839769C2semidirect
31. C61×#3308C2semidirect
39. #16840486C22semidirect
40. #16840477C22semidirect
41. #16840469C22semidirect
42. #16840464C22semidirect
43. #16840464C22semidirect
44. #16840447C22semidirect
45. #16840447C22semidirect
80. #16840124C22semidirect
81. #16840122C22semidirect
82. #16840121C22semidirect
83. #16840118C22semidirect
84. #16840118C22semidirect
85. #16840115C22semidirect
86. #16840115C22semidirect
87. #16840105C22semidirect
88. #16840105C22semidirect
89. #16840101C22semidirect
90. #16840101C22semidirect
91. #16840097C22semidirect
92. #16840093C22semidirect
93. #16840090C22semidirect
94. #16840089C22semidirect
95. #16840089C22semidirect
96. #16840085C22semidirect
97. #16840085C22semidirect
98. #16840081C22semidirect
99. #16840078C22semidirect
100. #16840075C22semidirect
101. #16840068C22semidirect
102. #16840068C22semidirect
103. #16840067C22semidirect
104. #16840067C22semidirect
105. #16840054C22semidirect
106. #16840048C22semidirect
107. #16840047C22semidirect
108. #16840020C22semidirect
109. #16840018C22semidirect
110. #16840014C22semidirect
111. #16840012C22semidirect
112. #16840009C22semidirect
113. #16840007C22semidirect
114. #16840006C22semidirect
115. #16840004C22semidirect
116. #16840002C22semidirect
117. #16839996C22semidirect
118. #16839991C22semidirect
119. #16839990C22semidirect
120. #16839989C22semidirect
121. #16839988C22semidirect
122. #16839987C22semidirect
123. #16839985C22semidirect
124. #16839983C22semidirect
125. #16839981C22semidirect
126. #16839979C22semidirect
127. #16839977C22semidirect
128. #16839975C22semidirect
129. #16839927C22semidirect
130. #16839926C22semidirect
131. #16839925C22semidirect
132. #16839924C22semidirect
133. #16839920C22semidirect
134. #16839919C22semidirect
135. #16839919C22semidirect
136. #16839918C22semidirect
137. #16839906C22semidirect
138. #16839905C22semidirect
139. #16839904C22semidirect
140. #16839900C22semidirect
141. #16839899C22semidirect
142. #16839899C22semidirect
143. #16839870C22semidirect
144. #16839867C22semidirect
145. #16839862C22semidirect
146. #16839856C22semidirect
147. #16839854C22semidirect
148. #16839853C22semidirect
149. SD16×Dic61C22semidirect
150. #16839838C22semidirect
151. #16839837C22semidirect
152. #16839835C22semidirect
153. #16839834C22semidirect
154. #16839832C22semidirect
155. C8×C22⋊D61C22semidirect
156. #16839825C22semidirect
167. #16839769C22semidirect
168. #16839769C22semidirect
169. #16839769C22semidirect
170. #16839769C22semidirect
174. #16839764C22semidirect
175. #16839763C22semidirect
176. #16839761C22semidirect
178. #16839757C22semidirect
179. #16839757C22semidirect
180. #16839755C22semidirect
181. #16839755C22semidirect
182. C2×#14519702C22semidirect
183. C2×#14519701C22semidirect
184. C2×#14519700C22semidirect
189. C61×#547C22semidirect
190. C61×#489C22semidirect
191. C61×#484C22semidirect
192. C61×#480C22semidirect
193. C61×#477C22semidirect
194. C61×#468C22semidirect
195. C61×#466C22semidirect
196. C61×#463C22semidirect
197. C61×#449C22semidirect
198. C61×#448C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
202. C2×#103×C61C22semidirect
542. Q8×D61#41semidirect
913. #3308D61semidirect
971. #547C2×D61semidirect
995. #489C2×D61semidirect
1005. #484C2×D61semidirect
1015. #480C2×D61semidirect
1021. #477C2×D61semidirect
1031. #468C2×D61semidirect
1035. #466C2×D61semidirect
1047. #463C2×D61semidirect
1059. #449C2×D61semidirect
1063. #448C2×D61semidirect
1067. #440C2×D61semidirect
1077. #435C2×D61semidirect
1101. #417C2×D61semidirect
1109. C2×#103C2×D61semidirect
1113. C61#61158semidirect

Maximal subgroups

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

subgroupindex
#214593822
#548×D612
#214580902
#214580882
#214580672
#214580652
#214580122
#214580102
#214579322
#214579302
#214578842
#214578822
#214578042
#214577272
#214577252
#214577042
#214577022
#214562042
#214557642
#214557542
#214556252
#214554442
#214554352
#214553082
#214550572
#214550502
#214546412
#214545522
#214543352
C2×#168397692
C61×#33082
#6115861