Finite Group Databasebeta

← #30555957

Subgroups — #30555957

Order 15616.

2674 conjugacy classes of subgroups.

The subgroup lattice has 2020 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840578C211yesmaximal, characteristic, complemented
2C2×#16840569C211yesmaximal, characteristic, complemented
3#21459610C211yesmaximal, characteristic, complemented
4#21459598C211yesmaximal, characteristic, complemented
5#21457395C211yesmaximal, characteristic, complemented
6#21457393C211yesmaximal, characteristic, complemented
7#21457387C211yesmaximal, characteristic, complemented
8#21457385C211yesmaximal, characteristic, complemented
9#21457376C211yesmaximal, characteristic, complemented
10#21457374C211yesmaximal, characteristic, complemented
11#21457368C211yesmaximal, characteristic, complemented
12#21457347C211yesmaximal, characteristic, complemented
13#21457345C211yesmaximal, characteristic, complemented
14#21457339C211yesmaximal, characteristic, complemented
15#21457337C211yesmaximal, characteristic, complemented
16#21457336C211yesmaximal, characteristic, complemented
17#21457334C211yesmaximal, characteristic, complemented
18#21457328C211yesmaximal, characteristic, complemented
19#21457326C211yesmaximal, characteristic, complemented
20#497×D61C211yesmaximal, characteristic, complemented
21#21455469C211yesmaximal, characteristic, complemented
22#21455456C211yesmaximal, characteristic, complemented
23#21455308C211yesmaximal, characteristic, complemented
24#21455303C211yesmaximal, characteristic, complemented
25#21455111C211yesmaximal, characteristic, complemented
26#21455109C211yesmaximal, characteristic, complemented
27#21455102C211yesmaximal, characteristic, complemented
28#21455093C211yesmaximal, characteristic, complemented
29#21454614C211yesmaximal, characteristic, complemented
30#21454533C211yesmaximal, characteristic, complemented
31C61×#3269C211yesmaximal, characteristic, complemented
32C2×#14519825C2211yescharacteristic
33C2×#14519824C2211yescharacteristic
34C2×#14519824C2211yescharacteristic, complemented
35C2×#14519823C2211yescharacteristic
36#16840578—28no—
37#16840569—28no—
38C2×#14519810C2211yescharacteristic, complemented
39C2×#14519809C2211yescharacteristic
40C2×#14519809C2211yescharacteristic
41C2×#14519809C2211yescharacteristic
42C2×#14519809C2211yescharacteristic, complemented
43C2×#14519807C2211yescharacteristic
44C2×#14519806C2211yescharacteristic, complemented
45C2×#14519806C2211yescharacteristic, complemented
46C2×#14519802C2211yescharacteristic
47C2×#14519801C2211yescharacteristic
48C2×#14519801C2211yescharacteristic
49C2×#14519798C2211yescharacteristic
50C2×#14519798C2211yescharacteristic
51C2×#14519798C2211yescharacteristic, complemented
52C2×#14519797C2211yescharacteristic, complemented
53C22×#11758202C2211yescharacteristic, complemented
54C2×Q16×D61C2211yescharacteristic, complemented
55C2×Q16×D61C2211yescharacteristic, complemented
56C2×Q16×D61C2211yescharacteristic, complemented
57C22×#11758190C2211yescharacteristic
58C2×SD16×D61C2211yescharacteristic
59C2×SD16×D61C2211yescharacteristic
60C2×SD16×D61C2211yescharacteristic
61C2×#14519785C2211yescharacteristic, complemented
62C2×#14519783C2211yescharacteristic
63D4×Dic122C2211yescharacteristic, complemented
64#16840427C2211yescharacteristic, complemented
65#16840425C2211yescharacteristic, complemented
66#16840425C2211yescharacteristic, complemented
67#16840424C2211yescharacteristic
68#16840423C2211yescharacteristic
69#16840419C2211yescharacteristic
70#16840416C2211yescharacteristic, complemented
71#16840413—21no—
72#16840412—21no—
73#16840411C2211yescharacteristic, complemented
74#16840411C2211yescharacteristic, complemented
75#16840410—21no—
76#16840410—21no—
77#16840409—21no—
78#16840409C2211yescharacteristic
79#16840408—21no—
80#16840408C2211yescharacteristic
81#16840405—21no—
82#16840405C2211yescharacteristic
83#16840403—21no—
84#16840403C2211yescharacteristic
85#16840335—21no—
86#16840335C2211yescharacteristic
87#16840335C2211yescharacteristic
88#16840335C2211yescharacteristic, complemented
89#16840334—21no—
90#16840334—21no—
91#16840328—21no—
92#16840328C2211yescharacteristic
93#16840309—21no—
94#16840309C2211yescharacteristic
95#16840307—21no—
96C2×#14519776—21no—
97C4⋊Q8×D61C2211yescharacteristic, complemented
98#124×D61—21no—
99#124×D61C2211yescharacteristic
100C4×#11758226C2211yescharacteristic
101C4×#11758224C2211yescharacteristic, complemented
102#16840157C2211yescharacteristic, complemented
103#16840156C2211yescharacteristic, complemented
104#16840155C2211yescharacteristic, complemented
105#16840155C2211yescharacteristic, complemented
106#16840154C2211yescharacteristic, complemented
107#16840153C2211yescharacteristic, complemented
108#16840153C2211yescharacteristic, complemented
109#16840019C2211yescharacteristic, complemented
110#16840019C2211yescharacteristic, complemented
111#16840018C2211yescharacteristic, complemented
112#16840018C2211yescharacteristic, complemented
113#16840009C2211yescharacteristic, complemented
114#16840008C2211yescharacteristic, complemented
115#16840005C2211yescharacteristic, complemented
116#16840004C2211yescharacteristic, complemented
117#16840003C2211yescharacteristic, complemented
118#16840000C2211yescharacteristic, complemented
119#16839994C2211yescharacteristic, complemented
120#16839993C2211yescharacteristic, complemented
121#16839990C2211yescharacteristic, complemented
122#16839989C2211yescharacteristic, complemented
123#16839987C2211yescharacteristic, complemented
124#16839985C2211yescharacteristic, complemented
125#16839983C2211yescharacteristic, complemented
126#16839981C2211yescharacteristic, complemented
127#16839979C2211yescharacteristic, complemented
128#16839977C2211yescharacteristic, complemented
129#16839975C2211yescharacteristic, complemented
130#16839972C2211yescharacteristic, complemented
131#16839970C2211yescharacteristic, complemented
132#16839970C2211yescharacteristic, complemented
133#16839968C2211yescharacteristic, complemented
134#16839966C2211yescharacteristic, complemented
135#16839966C2211yescharacteristic, complemented
136#16839964C2211yescharacteristic, complemented
137#16839927C2211yescharacteristic
138#16839927C2211yescharacteristic, complemented
139#16839926C2211yescharacteristic, complemented
140#16839925C2211yescharacteristic, complemented
141#16839924C2211yescharacteristic
142#16839924C2211yescharacteristic, complemented
143#16839923C2211yescharacteristic
144#16839923C2211yescharacteristic, complemented
145#16839922C2211yescharacteristic, complemented
146#16839921C2211yescharacteristic, complemented
147#16839920C2211yescharacteristic, complemented
148#16839919C2211yescharacteristic, complemented
149#16839919C2211yescharacteristic, complemented
150#16839918C2211yescharacteristic, complemented
151#16839917C2211yescharacteristic, complemented
152#16839916C2211yescharacteristic, complemented
153#16839916C2211yescharacteristic, complemented
154#16839915C2211yescharacteristic
155#16839914C2211yescharacteristic
156#16839912C2211yescharacteristic
157#16839911C2211yescharacteristic
158#16839908C2211yescharacteristic, complemented
159#16839907C2211yescharacteristic, complemented
160#16839904C2211yescharacteristic, complemented
161#16839903C2211yescharacteristic, complemented
162#16839902C2211yescharacteristic, complemented
163#16839900C2211yescharacteristic, complemented
164#16839899C2211yescharacteristic, complemented
165#16839872C2211yescharacteristic, complemented
166#16839871C2211yescharacteristic, complemented
167#16839867C2211yescharacteristic, complemented
168#16839866C2211yescharacteristic, complemented
169#16839864C2211yescharacteristic, complemented
170#16839863C2211yescharacteristic, complemented
171#16839861C2211yescharacteristic, complemented
172#16839836C2211yescharacteristic, complemented
173#16839835C2211yescharacteristic, complemented
174#16839834C2211yescharacteristic, complemented
175#16839833C2211yescharacteristic, complemented
176#16839832C2211yescharacteristic, complemented
177#16839831C2211yescharacteristic, complemented
178#16839830C2211yescharacteristic, complemented
179#16839799C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181#16839769C2211yescharacteristic, complemented
182#16839769C2211yescharacteristic, complemented
183#16839769C2211yescharacteristic, complemented
184#16839765C2211yescharacteristic
185#16839757C2211yescharacteristic
186#16839755C2211yescharacteristic, complemented
187#16839727C2211yescharacteristic
188#16839727C2211yescharacteristic, complemented
189#97×D61C2211yescharacteristic, complemented
190C2×#137×C61C2211yescharacteristic, complemented
191C2×#135×C61C2211yescharacteristic
192C61×#548C2211yescharacteristic
193C61×#547C2211yescharacteristic, complemented
194C61×#497C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#467C2211yescharacteristic, complemented
197C61×#463C2211yescharacteristic, complemented
198C61×#462C2211yescharacteristic, complemented
199C61×#452C2211yescharacteristic
200C61×#452C2211yescharacteristic, complemented
201C61×#451C2211yescharacteristic, complemented
202C61×#449C2211yescharacteristic, complemented
203C61×#440C2211yescharacteristic, complemented
204C61×#435C2211yescharacteristic, complemented
205#14519825—24no—
206#14519825—42no—
207#14519824—24no—
208#14519824—24no—
209#14519824—42no—
210#14519824—42no—
211#14519823—24no—
212#14519823—42no—
213C2×#11758226—21no—
214C2×#11758226C2311yescharacteristic
215C2×#11758226C2311yescharacteristic
216C2×#11758226C2311yescharacteristic
217C2×#11758222—21no—
218C2×#11758222—21no—
219C2×#11758222—21no—
220C2×#11758222—21no—
221C2×#11758222—21no—
222C2×#11758222C2311yescharacteristic
223C2×#11758222C2311yescharacteristic
224C2×#11758222C2311yescharacteristic
225C2×#11758224—21no—
226C2×#11758224—21no—
227C2×#11758224—21no—
228C2×#11758224—21no—
229C2×#11758224C2311yescharacteristic
230C2×#11758224C2311yescharacteristic
231C2×#11758224C2311yescharacteristic
232C22×Dic122—21no—
233C22×Dic122—21no—
234C22×Dic122C2311yescharacteristic
235C22×Dic122C2311yescharacteristic
236C2×Q8×D61—21no—
237C2×Q8×D61C2311yescharacteristic
238C2×Q8×D61C2311yescharacteristic
239C2×Q8×D61C2311yescharacteristic
240C2×Q8×D61C2311yescharacteristic
241C2×Q8×D61C2311yescharacteristic
242C2×Q8×D61C2311yescharacteristic
243C22×D244—21no—
244C22×D244C2311yescharacteristic
245C2×D4×D61—21no—
246C2×D4×D61—21no—
247C2×D4×D61C2311yescharacteristic
248C2×D4×D61C2311yescharacteristic
249#14519810—24no—
250#14519809—24no—
251#14519809—24no—
252#14519809—24no—
253#14519809—24no—
254#14519807—24no—
255#14519806—24no—
256#14519806—24no—
257#14519802—24no—
258#14519801—24no—
259#14519801—24no—
260#14519798—24no—
261#14519798—24no—
262#14519798D418yescomplemented
263#14519797—24no—
264C2×Dic244C2311yescharacteristic
265C2×Dic244C2311yescharacteristic
266C2×Dic244C2311yescharacteristic
267C2×#11758202—24no—
268C2×#11758202C2311yescharacteristic
269C2×#11758202C2311yescharacteristic
270C2×#11758202C2311yescharacteristic
271C2×#11758202C2311yescharacteristic
272C2×#11758202C2311yescharacteristic
273C2×#11758202C2311yescharacteristic
274C2×#11758202C2311yescharacteristic
275C2×#11758202C2311yescharacteristic
276Q16×D61—24no—
277Q16×D61—24no—
278Q16×D61—42no—
279C2×#11758190—24no—
280C2×#11758190C2311yescharacteristic
281C2×#11758190C2311yescharacteristic
282C2×#11758190C2311yescharacteristic
283C2×#11758190C2311yescharacteristic
284C2×#11758190C2311yescharacteristic
285C2×#11758190C2311yescharacteristic
286C2×#11758200C2311yescharacteristic
287C2×#11758200C2311yescharacteristic
288C2×#11758200C2311yescharacteristic
289C2×#11758200C2311yescharacteristic
290C2×#11758201C2311yescharacteristic
291C2×#11758201C2311yescharacteristic
292C2×#11758201C2311yescharacteristic
293C2×#11758201C2311yescharacteristic
294SD16×D61—24no—
295SD16×D61—24no—
296SD16×D61—42no—
297C2×#11758199C2311yescharacteristic
298C2×#11758199C2311yescharacteristic
299#14519785—24no—
300#14519783—24no—
301C2×#11758194C2311yescharacteristic
302C2×#11758189C2311yescharacteristic
303C2×#11758189C2311yescharacteristic
304C2×#11758189C2311yescharacteristic
305C2×#11758189C2311yescharacteristic
306C22×#92418C2311yescharacteristic
307C2×C8×D61C2311yescharacteristic
308C2×C8×D61C2311yescharacteristic
309C2×C8×D61C2311yescharacteristic
310C2×C8×D61C2311yescharacteristic
311#14519777C2311yescharacteristic
312#14519776—21no—
313#14519776—21no—
314#14519776—21no—
315#14519776—21no—
316#14519776—21no—
317#14519776—21no—
318#14519776—21no—
319#14519776—21no—
320#14519776—21no—
321#14519776D411yescharacteristic
322#14519775C2311yescharacteristic
323#14519775C2311yescharacteristic
324#14519773—21no—
325#14519773D411yescharacteristic
326#14519766—21no—
327#14519766C2311yescharacteristic
328#14519765—21no—
329#14519765C2311yescharacteristic
330#14519764—21no—
331#14519764C2311yescharacteristic
332#14519763—21no—
333#14519763—21no—
334#14519763—21no—
335#14519763—21no—
336#14519763—21no—
337#14519763—21no—
338#14519763D411yescharacteristic
339#14519763D411yescharacteristic
340#14519762—21no—
341#14519762—21no—
342#14519762—21no—
343#14519762—21no—
344#14519762—21no—
345#14519761—21no—
346#14519761—21no—
347#14519760—21no—
348#14519760—21no—
349#14519759—21no—
350#14519759—21no—
351#14519759—21no—
352#14519759—21no—
353#14519759—21no—
354#14519758—21no—
355#14519758—21no—
356#14519757—21no—
357#14519757C2311yescharacteristic
358#14519757C2311yescharacteristic
359#14519757C2311yescharacteristic
360#14519756—21no—
361#14519756C2311yescharacteristic
362#14519756C2311yescharacteristic
363#14519756C2311yescharacteristic
364#14519755—21no—
365#14519755—21no—
366#14519755—21no—
367#14519755—21no—
368#14519754—21no—
369#14519754—21no—
370#14519754—21no—
371#14519754—21no—
372#14519753—21no—
373#14519753C2311yescharacteristic
374#14519753C2311yescharacteristic
375#14519753C2311yescharacteristic
376#14519752—21no—
377#14519752—21no—
378#14519752D411yescharacteristic
379#14519752C2311yescharacteristic
380#14519751—21no—
381#14519751—21no—
382#14519751C2311yescharacteristic
383#14519750—21no—
384#14519750—21no—
385#14519750D411yescharacteristic
386#14519750D411yescharacteristic
387#14519749—21no—
388#14519749—21no—
389#14519748—21no—
390#14519748—21no—
391#14519748D411yescharacteristic
392#14519748C2311yescharacteristic
393#14519747—21no—
394#14519747—21no—
395#14519747—21no—
396#14519745—21no—
397#14519745—21no—
398#14519745—21no—
399Q8×Dic61C2311yescharacteristic
400C4×Dic122C2311yescharacteristic
401#14519742C2311yescharacteristic
402C4×D244—21no—
403C4×D244—21no—
404C4×D244C2311yescharacteristic
405C4×D244C2311yescharacteristic
406D4×Dic61—21no—
407D4×Dic61C2311yescharacteristic
408#14519739—21no—
409#14519739—21no—
410#14519739C2311yescharacteristic
411C4×C22⋊D61—21no—
412C4×C22⋊D61—21no—
413C4×C22⋊D61—21no—
414C4×C22⋊D61C2311yescharacteristic
415C4×C22⋊D61C2311yescharacteristic
416#14519737—21no—
417#14519737—21no—
418#14519737—21no—
419#14519735—21no—
420#14519735C2311yescharacteristic
421#14519735C2311yescharacteristic
422#14519733—21no—
423C2×C4⋊Dic61—21no—
424C2×#11758196—21no—
425C2×#11758196—21no—
426C4⋊C4×D61—21no—
427C4⋊C4×D61—21no—
428C22⋊C4×D61—21no—
429C22⋊C4×D61—21no—
430C22⋊C4×D61—21no—
431C22⋊C4×D61—21no—
432C22⋊C4×D61—21no—
433C22⋊C4×D61—21no—
434C2×C4×Dic61—21no—
435C42×D61—21no—
436C42×D61C2311yescharacteristic
437#14519711C2311yescharacteristic
438#14519708C2311yescharacteristic
439#14519708C2311yescharacteristic
440C4⋊#92418C2311yescharacteristic
441#14519706C2311yescharacteristic
442#14519706C2311yescharacteristic
443#14519702C2311yescharacteristic
444#14519702C2311yescharacteristic
445#14519702C2311yescharacteristic
446#14519702C2311yescharacteristic
447#14519701C2311yescharacteristic
448#14519701C2311yescharacteristic
449#14519701C2311yescharacteristic
450#14519701C2311yescharacteristic
451#14519700C2311yescharacteristic
452#14519700C2311yescharacteristic
453#14519700C2311yescharacteristic
454#14519700C2311yescharacteristic
455#14519699C2311yescharacteristic
456#14519699C2311yescharacteristic
457#14519698C2311yescharacteristic
458#14519698C2311yescharacteristic
459#14519697C2311yescharacteristic
460#14519697C2311yescharacteristic
461C22⋊#92418C2311yescharacteristic
462C22⋊#92418C2311yescharacteristic
463#14519689C2311yescharacteristic
464#14519689C2311yescharacteristic
465#14519689C2311yescharacteristic
466#14519689C2311yescharacteristic
467#14519688C2311yescharacteristic
468#14519687C2311yescharacteristic
469#14519687C2311yescharacteristic
470C2×#41×C61C2311yescharacteristic
471C2×#41×C61C2311yescharacteristic
472C2×#41×C61C2311yescharacteristic
473C22×Q8×C61C2311yescharacteristic
474#137×C61—24no—
475#135×C61—24no—
476C2×Q16×C61C2311yescharacteristic
477C2×Q16×C61C2311yescharacteristic
478C2×Q16×C61C2311yescharacteristic
479C2×Q16×C61C2311yescharacteristic
480C2×SD16×C61C2311yescharacteristic
481C2×SD16×C61C2311yescharacteristic
482C2×SD16×C61C2311yescharacteristic
483C2×SD16×C61C2311yescharacteristic
484C2×D8×C61C2311yescharacteristic
485C2×M16×C61C2311yescharacteristic
486C22×C8×C61C2311yescharacteristic
487C4⋊Q8×C61C2311yescharacteristic
488#124×C61—21no—
489#124×C61C2311yescharacteristic
490#123×C61—21no—
491#123×C61—21no—
492C22⋊Q8×C61—21no—
493C22⋊Q8×C61C2311yescharacteristic
494C22⋊Q8×C61C2311yescharacteristic
495C22⋊Q8×C61C2311yescharacteristic
496#121×C61—21no—
497#121×C61—21no—
498#121×C61C2311yescharacteristic
499C4×Q8×C61C2311yescharacteristic
500C4×D4×C61—21no—
501C4×D4×C61C2311yescharacteristic
502C4×D4×C61C2311yescharacteristic
503C2×C4⋊C4×C61—21no—
504#107×C61C2311yescharacteristic
505C4⋊C8×C61C2311yescharacteristic
506#103×C61C2311yescharacteristic
507#103×C61C2311yescharacteristic
508#103×C61C2311yescharacteristic
509#103×C61C2311yescharacteristic
510#102×C61C2311yescharacteristic
511#102×C61C2311yescharacteristic
512C22⋊C8×C61C2311yescharacteristic
513C22⋊C8×C61C2311yescharacteristic
514#97×C61C2311yescharacteristic
515C23×D61—21no—
516C23×D61—21no—
517C23×D61—21no—
518#41×C61—22no—
519#41×C61—22no—
520#41×C61—22no—
521#41×C61—41no—
522#41×C61—41no—
523#41×C61—41no—
524C2×Q8×C61—21no—
525C2×Q8×C61—22no—
526C2×Q8×C61—41no—
527C2×Q8×C61C2411yescharacteristic
528C2×Q8×C61C2411yescharacteristic
529C2×Q8×C61C2411yescharacteristic
530C2×Q8×C61C2411yescharacteristic
531C2×D4×C61—21no—
532C2×D4×C61—21no—
533C2×D4×C61—21no—
534C2×D4×C61—21no—
535C2×D4×C61C2×D411yescharacteristic
536C2×D4×C61C2411yescharacteristic
537C2×D4×C61C2411yescharacteristic
538C22×C4×C61—21no—
539C22×C4×C61—21no—
540C22×C4×C61—21no—
541C22×C4×C61—21no—
542C22×C4×C61—21no—
543C22×C4×C61C2411yescharacteristic
544C22×C4×C61C2411yescharacteristic
545C2×C22⋊D61—21no—
546C2×C22⋊D61—21no—
547C2×C22⋊D61—21no—
548C2×C22⋊D61—21no—
549C2×C22⋊D61—21no—
550C2×C22⋊D61—21no—
551C2×C22⋊D61—21no—
552C2×C22⋊D61—21no—
553C2×C22⋊D61C2×D411yescharacteristic
554C2×C22⋊D61C2×D411yescharacteristic
555C2×C22⋊D61C2×D411yescharacteristic
556C2×C22⋊D61C2×D411yescharacteristic
557C2×C22⋊D61C2×D411yescharacteristic
558C2×C22⋊D61C2×D411yescharacteristic
559C22×Dic61—21no—
560C22×Dic61—21no—
561C22×Dic61—21no—
562C22×Dic61—21no—
563C22×Dic61—21no—
564C22×Dic61—21no—
565#11758226—22no—
566#11758226—22no—
567#11758226—22no—
568#11758226—41no—
569#11758226—41no—
570#11758226—44no—
571#11758226C2×D414yes—
572Q8×D61—22no—
573Q8×D61—22no—
574Q8×D61—22no—
575Q8×D61—22no—
576Q8×D61—22no—
577Q8×D61—22no—
578Q8×D61—22no—
579Q8×D61—22no—
580Q8×D61—22no—
581Q8×D61—41no—
582Q8×D61—41no—
583Q8×D61—41no—
584Q8×D61—44no—
585#11758224—22no—
586#11758224—22no—
587#11758224—22no—
588#11758224—41no—
589#11758224—41no—
590#11758224—44no—
591#11758224—44no—
592#11758224—44no—
593#11758224—44no—
594#11758224C2×D414yes—
595D4×D61—22no—
596D4×D61—22no—
597D4×D61—22no—
598D4×D61—41no—
599D4×D61—44no—
600D4×D61—44no—
601#11758222—22no—
602#11758222—22no—
603#11758222—22no—
604#11758222—22no—
605#11758222—22no—
606#11758222—44no—
607#11758222—41no—
608#11758222—44no—
609#11758222—44no—
610#11758222—44no—
611#11758222—44no—
612C2×D244—21no—
613C2×D244—22no—
614C2×D244—21no—
615C2×D244—21no—
616C2×D244—21no—
617C2×D244—21no—
618C2×D244—41no—
619C2×D244—44no—
620C2×D244C2×D411yescharacteristic
621C2×D244C2×D411yescharacteristic
622C2×D244C2×D411yescharacteristic
623C2×D244C2411yescharacteristic
624C2×D244C2411yescharacteristic
625C2×C4×D61—21no—
626C2×C4×D61—21no—
627C2×C4×D61—21no—
628C2×C4×D61—21no—
629C2×C4×D61—21no—
630C2×C4×D61—21no—
631C2×C4×D61—21no—
632C2×C4×D61—21no—
633C2×C4×D61—21no—
634C2×C4×D61—21no—
635C2×C4×D61—21no—
636C2×C4×D61—21no—
637C2×C4×D61C2×D411yescharacteristic
638C2×C4×D61C2×D411yescharacteristic
639C2×C4×D61C2411yescharacteristic
640C2×C4×D61C2411yescharacteristic
641C2×C4×D61C2411yescharacteristic
642C2×Dic122—22no—
643C2×Dic122—22no—
644C2×Dic122—21no—
645C2×Dic122—21no—
646C2×Dic122—21no—
647C2×Dic122—21no—
648C2×Dic122—21no—
649C2×Dic122—21no—
650C2×Dic122—21no—
651C2×Dic122—21no—
652C2×Dic122—41no—
653C2×Dic122—41no—
654C2×Dic122—44no—
655C2×Dic122—44no—
656C2×Dic122C2×D411yescharacteristic
657C2×Dic122C2×D411yescharacteristic
658C2×Dic122C2411yescharacteristic
659C2×Dic122C2411yescharacteristic
660C2×Dic122C2411yescharacteristic
661C2×Dic122C2411yescharacteristic
662Q16×C61—22no—
663Q16×C61—22no—
664Q16×C61—22no—
665Q16×C61—41no—
666SD16×C61—22no—
667SD16×C61—22no—
668SD16×C61—41no—
669SD16×C61C2×D414yes—
670D8×C61—22no—
671M16×C61—22no—
672C2×C8×C61—22no—
673C2×C8×C61C2411yescharacteristic
674C2×C8×C61C2411yescharacteristic
675C2×C8×C61C2411yescharacteristic
676C2×C8×C61C2411yescharacteristic
677C4⋊C4×C61—21no—
678C4⋊C4×C61—21no—
679C4⋊C4×C61—21no—
680C4⋊C4×C61—21no—
681C4⋊C4×C61—21no—
682C4⋊C4×C61—21no—
683C4⋊C4×C61C2×D411yescharacteristic
684C4⋊C4×C61C2411yescharacteristic
685C4⋊C4×C61C2411yescharacteristic
686C22⋊C4×C61—21no—
687C22⋊C4×C61—21no—
688C22⋊C4×C61—21no—
689C22⋊C4×C61—21no—
690C22⋊C4×C61—21no—
691C22⋊C4×C61—21no—
692C22⋊C4×C61—21no—
693C22⋊C4×C61C2×D411yescharacteristic
694C22⋊C4×C61C2×D411yescharacteristic
695C42×C61—21no—
696C42×C61C2411yescharacteristic
697C22⋊Dic61—21no—
698C22⋊Dic61—21no—
699C22⋊Dic61—21no—
700C22⋊Dic61—21no—
701C22⋊Dic61—21no—
702C22⋊Dic61—21no—
703C22⋊Dic61—21no—
704C22⋊Dic61C2×D411yescharacteristic
705C22⋊Dic61C2×D411yescharacteristic
706#11758202—22no—
707#11758202—22no—
708#11758202—22no—
709#11758202—22no—
710#11758202—22no—
711#11758202—41no—
712#11758202—41no—
713#11758202C2×D414yes—
714#11758201—22no—
715#11758201—22no—
716#11758201—22no—
717#11758201—41no—
718#11758200—22no—
719#11758200—22no—
720#11758200—22no—
721#11758200—41no—
722#11758199—22no—
723#11758199C2×D414yes—
724#11758198—21no—
725#11758198—21no—
726#11758198—21no—
727#11758198—21no—
728#11758198—21no—
729#11758198—21no—
730#11758198—21no—
731#11758198—21no—
732#11758198—21no—
733#11758198—21no—
734#11758198—21no—
735#11758198—21no—
736#11758198—21no—
737#11758198—21no—
738#11758198—21no—
739#11758198—21no—
740#11758198C2×D411yescharacteristic
741#11758198C2×D411yescharacteristic
742#11758198C2×D411yescharacteristic
743#11758198C2×D411yescharacteristic
744C4⋊Dic61—21no—
745C4⋊Dic61—21no—
746C4⋊Dic61—21no—
747C4⋊Dic61—21no—
748C4⋊Dic61—21no—
749C4⋊Dic61—21no—
750C4⋊Dic61C2×D411yescharacteristic
751C4⋊Dic61C2411yescharacteristic
752C4⋊Dic61C2411yescharacteristic
753#11758196—21no—
754#11758196—21no—
755#11758196—21no—
756#11758196—21no—
757#11758196—21no—
758#11758196—21no—
759#11758196—21no—
760#11758196—21no—
761#11758196—21no—
762#11758196—21no—
763#11758196—21no—
764#11758196—21no—
765#11758196C2×D411yescharacteristic
766#11758196C2×D411yescharacteristic
767C4×Dic61—21no—
768C4×Dic61—21no—
769C4×Dic61—21no—
770C4×Dic61—21no—
771C4×Dic61—21no—
772C4×Dic61C2×D411yescharacteristic
773C4×Dic61C2×D411yescharacteristic
774C4×Dic61C2411yescharacteristic
775#11758194—22no—
776C2×#92418—22no—
777C2×#92418C2411yescharacteristic
778C2×#92418C2411yescharacteristic
779C2×#92418C2411yescharacteristic
780C2×#92418C2411yescharacteristic
781Dic244—22no—
782Dic244—22no—
783Dic244—41no—
784#11758190—22no—
785#11758190—22no—
786#11758190—22no—
787#11758190—22no—
788#11758190—41no—
789#11758190C2×D414yes—
790#11758189—22no—
791#11758189—22no—
792#11758189—22no—
793#11758189—22no—
794C8×D61—22no—
795C8×D61—22no—
796C8×D61—22no—
797C8×D61C2×D414yes—
798C23×C61—21no—
799C23×C61—21no—
800C23×C61C22×D411yescharacteristic
801C23×C61C22×D411yescharacteristic
802C22×D61—21no—
803C22×D61—21no—
804C22×D61—42no—
805C22×D61—42no—
806C22×D61—42no—
807C22×D61—81no—
808C22×D61—81no—
809C22×D61—81no—
810C22×D61—81no—
811C22×D61—81no—
812C22×D61—81no—
813C22×D61C22×D411yescharacteristic
814C22×D61C22×D411yescharacteristic
815C22×D61C22×D411yescharacteristic
816Q8×C61—21no—
817Q8×C61—21no—
818Q8×C61—21no—
819Q8×C61—21no—
820Q8×C61—21no—
821Q8×C61—21no—
822Q8×C61—21no—
823Q8×C61—42no—
824Q8×C61C22×D412yes—
825D4×C61—21no—
826D4×C61—21no—
827D4×C61—21no—
828D4×C61—41no—
829D4×C61—42no—
830D4×C61—42no—
831D4×C61—42no—
832D4×C61—81no—
833D4×C61C22×D412yes—
834C2×C4×C61—21no—
835C2×C4×C61—21no—
836C2×C4×C61—21no—
837C2×C4×C61—21no—
838C2×C4×C61—21no—
839C2×C4×C61—21no—
840C2×C4×C61—21no—
841C2×C4×C61—21no—
842C2×C4×C61—21no—
843C2×C4×C61—21no—
844C2×C4×C61—42no—
845C2×C4×C61—42no—
846C2×C4×C61—42no—
847C2×C4×C61—42no—
848C2×C4×C61—42no—
849C2×C4×C61C22×D411yescharacteristic
850C2×C4×C61C22×D411yescharacteristic
851C2×C4×C61C22×D411yescharacteristic
852C2×C4×C61C22×D411yescharacteristic
853C2×C4×C61C2511yescharacteristic
854C22⋊D61—22no—
855C22⋊D61—22no—
856C22⋊D61—24no—
857C22⋊D61—22no—
858C22⋊D61—22no—
859C22⋊D61—41no—
860C22⋊D61—41no—
861C22⋊D61—42no—
862C22⋊D61—42no—
863C22⋊D61—42no—
864C22⋊D61—42no—
865C22⋊D61—42no—
866C22⋊D61—81no—
867C22⋊D61—81no—
868C2×Dic61—21no—
869C2×Dic61—24no—
870C2×Dic61—21no—
871C2×Dic61—21no—
872C2×Dic61—21no—
873C2×Dic61—21no—
874C2×Dic61—21no—
875C2×Dic61—42no—
876C2×Dic61—42no—
877C2×Dic61—42no—
878C2×Dic61—42no—
879C2×Dic61—42no—
880C2×Dic61C22×D411yescharacteristic
881C2×Dic61C22×D411yescharacteristic
882C2×Dic61C22×D411yescharacteristic
883C2×Dic61C22×D411yescharacteristic
884C2×Dic61C22×D411yescharacteristic
885D244—24no—
886D244—22no—
887D244—22no—
888D244—21no—
889D244—21no—
890D244—21no—
891D244—41no—
892D244—42no—
893D244—42no—
894D244—42no—
895D244—81no—
896D244C22×D412yes—
897C4×D61—21no—
898C4×D61—21no—
899C4×D61—21no—
900C4×D61—21no—
901C4×D61—24no—
902C4×D61—41no—
903C4×D61—41no—
904C4×D61—42no—
905C4×D61—42no—
906C4×D61—42no—
907C4×D61—42no—
908C4×D61—42no—
909C4×D61—42no—
910C4×D61—42no—
911C4×D61—42no—
912C4×D61—42no—
913C4×D61—81no—
914C4×D61—81no—
915C4×D61C22×D412yes—
916C4×D61H(5,𝔽2)12yes—
917Dic122—21no—
918Dic122—22no—
919Dic122—22no—
920Dic122—21no—
921Dic122—21no—
922Dic122—21no—
923Dic122—21no—
924Dic122—21no—
925Dic122—21no—
926Dic122—42no—
927Dic122—42no—
928Dic122—42no—
929Dic122—42no—
930Dic122—42no—
931Dic122—42no—
932Dic122—42no—
933Dic122—42no—
934Dic122C22×D412yes—
935C8×C61—21no—
936C8×C61—21no—
937C8×C61—21no—
938C8×C61C22×D412yes—
939#92418—21no—
940#92418—21no—
941#92418—21no—
942#92418C22×D412yes—
943#61083—611nomaximal, Sylow
944C22×C61—21no—
945C22×C61—21no—
946C22×C61—21no—
947C22×C61—21no—
948C22×C61—22no—
949C22×C61—21no—
950C22×C61—21no—
951C22×C61—41no—
952C22×C61—41no—
953C22×C61—41no—
954C22×C61—41no—
955C22×C61—41no—
956C22×C61C23×D411yescharacteristic
957C2×D61—21no—
958C2×D61—21no—
959C2×D61—21no—
960C2×D61—21no—
961C2×D61—21no—
962C2×D61—21no—
963C2×D61—21no—
964C2×D61—22no—
965C2×D61—21no—
966C2×D61—41no—
967C2×D61—41no—
968C2×D61—41no—
969C2×D61—41no—
970C2×D61—41no—
971C2×D61—162no—
972C2×D61—162no—
973C2×D61—162no—
974C2×D61D4212yes—
975C4×C61—21no—
976C4×C61—21no—
977C4×C61—21no—
978C4×C61—21no—
979C4×C61—22no—
980C4×C61—41no—
981C4×C61—41no—
982C4×C61—41no—
983C4×C61—41no—
984C4×C61—41no—
985C4×C61C23×D411yescharacteristic
986C4×C61C2×H(5,𝔽2)11yescharacteristic
987Dic61—21no—
988Dic61—21no—
989Dic61—21no—
990Dic61—21no—
991Dic61—22no—
992Dic61—41no—
993Dic61—41no—
994Dic61—41no—
995Dic61—41no—
996Dic61—41no—
997Dic61D4212yes—
998C2×#578—611no—
999C2×#577—611no—
1000#3500—611no—
1001#3499—611no—
1002#3270—611no—
1003#3270—611no—
1004#3270—611no—
1005#3270—611no—
1006#3269—611no—
1007#3269—611no—
1008#3269—611no—
1009#3269D6111yescharacteristic, complemented
1010#3267—611no—
1011#3267—611no—
1012#3267—611no—
1013#3267—611no—
1014#3266—611no—
1015#3266—611no—
1016#3266—611no—
1017#3266—611no—
1018C2×#497—611no—
1019#3059—611no—
1020#3057—611no—
1021#3040—611no—
1022#3039—611no—
1023#3011—611no—
1024#3011—611no—
1025#3010—611no—
1026#3009—611no—
1027#2943—611no—
1028#2932—611no—
1029C2×C61—41no—
1030C2×C61—41no—
1031C2×C61—42no—
1032C2×C61—81no—
1033C2×C61C2×D4211yescharacteristic
1034C2×C61#358611yescharacteristic
1035C2×C61#358611yescharacteristic
1036D61—22no—
1037D61—41no—
1038D61—41no—
1039D61—42no—
1040D61—81no—
1041C2×2−1+4—611no—
1042C2×2−1+4—611no—
1043C2×2−1+4—611no—
1044C2×H(5,𝔽2)—611no—
1045#578—1228no—
1046#577—1228no—
1047C2×#137—611no—
1048C2×#137—611no—
1049C2×#137—611no—
1050C2×#137—611no—
1051C2×#137—611no—
1052C2×#137—611no—
1053C2×#137—611no—
1054C2×#137—611no—
1055C2×#137C2×D6111yescharacteristic, complemented
1056C2×AGL(1,ℤ/8)—611no—
1057C2×AGL(1,ℤ/8)—611no—
1058C2×AGL(1,ℤ/8)—611no—
1059C2×#135—611no—
1060C2×#135—611no—
1061C2×#135—611no—
1062C2×#135—611no—
1063C2×#135C2×D6111yescharacteristic
1064C22×Q16—611no—
1065C22×Q16—611no—
1066C22×Q16—611no—
1067C22×Q16—611no—
1068C22×SD16—611no—
1069C22×SD16—611no—
1070C22×SD16—611no—
1071C22×SD16—611no—
1072C2×#131—611no—
1073C2×#131—611no—
1074D4×Q8—611no—
1075D4×Q8—611no—
1076D4×Q8—611no—
1077D4×Q8—611no—
1078#548—611no—
1079#548—611no—
1080#548—611no—
1081#548C2×D6111yescharacteristic
1082#547—611no—
1083#547—611no—
1084#547—611no—
1085#547—1221no—
1086#547—1221no—
1087#547—1221no—
1088#547—1221no—
1089#547C2×D6111yescharacteristic, complemented
1090#546—611no—
1091#546—611no—
1092#546—611no—
1093#546—611no—
1094#546—1221no—
1095#546—1221no—
1096#546—1221no—
1097#546—1221no—
1098#536—611no—
1099#536—611no—
1100#536—611no—
1101#536—1221no—
1102#536—1221no—
1103#536—1221no—
1104#535—611no—
1105#535—1221no—
1106#532—611no—
1107#532—1221no—
1108#532—1221no—
1109C2×C4⋊Q8—611no—
1110C2×C4⋊Q8—1221no—
1111C2×#124—611no—
1112C2×#124—1221no—
1113C4×#41—611no—
1114C4×#41—611no—
1115#497—611no—
1116#497—611no—
1117#497—611no—
1118#497—611no—
1119#497—611no—
1120#497—611no—
1121#497—611no—
1122#497C2×D6111yescharacteristic, complemented
1123#470—611no—
1124#470—611no—
1125#470—611no—
1126#470—611no—
1127#468—611no—
1128#468—611no—
1129#468—611no—
1130#468C2×D6111yescharacteristic, complemented
1131#467—611no—
1132#467—611no—
1133#467—611no—
1134#467C2×D6111yescharacteristic, complemented
1135#465—611no—
1136#465—611no—
1137#465—611no—
1138#465—611no—
1139#464—611no—
1140#464—611no—
1141#464—611no—
1142#464—611no—
1143#463—611no—
1144#463—611no—
1145#463—611no—
1146#463C2×D6111yescharacteristic, complemented
1147#462—611no—
1148#462—611no—
1149#462—611no—
1150#462C2×D6111yescharacteristic, complemented
1151#461—611no—
1152#461—611no—
1153#461—611no—
1154#461—611no—
1155#452—611no—
1156#452—611no—
1157#452—611no—
1158#452—611no—
1159#452—611no—
1160#452—611no—
1161#452—611no—
1162#452—611no—
1163#452—611no—
1164#452—611no—
1165#452C2×D6111yescharacteristic
1166#452C2×D6111yescharacteristic, complemented
1167#451—611no—
1168#451—611no—
1169#451—611no—
1170#451—611no—
1171#451—611no—
1172#451—611no—
1173#451—611no—
1174#451C2×D6111yescharacteristic, complemented
1175#450—611no—
1176#450—611no—
1177#450—611no—
1178#450—611no—
1179#449—611no—
1180#449—611no—
1181#449—611no—
1182#449C2×D6111yescharacteristic, complemented
1183#448—611no—
1184#448—611no—
1185#448—611no—
1186#448—611no—
1187#442—611no—
1188#442—611no—
1189#441—611no—
1190#441—611no—
1191#440—611no—
1192#440—611no—
1193#440—611no—
1194#440C2×D6111yescharacteristic, complemented
1195#435—611no—
1196#435—611no—
1197#435—611no—
1198#435—611no—
1199#435—611no—
1200#435—611no—
1201#435—611no—
1202#435C2×D6111yescharacteristic, complemented
1203#427—611no—
1204#423—611no—
1205#419—611no—
1206#419—611no—
1207#419—611no—
1208#418—611no—
1209#416—611no—
1210#416—611no—
1211#408—611no—
1212#408—611no—
1213C2×#97—611no—
1214C61#6108311yescharacteristic, complemented, Sylow
12152−1+4—1224no—
12162−1+4—1224no—
12172−1+4—1224no—
12182−1+4—2442no—
12192−1+4—2442no—
12202−1+4—2442no—
1221H(5,𝔽2)—1224no—
1222H(5,𝔽2)—2442no—
1223C2×#41—611no—
1224C2×#41—611no—
1225C2×#41—611no—
1226C2×#41—611no—
1227C2×#41—611no—
1228C2×#41—611no—
1229C2×#41—611no—
1230C2×#41—611no—
1231C2×#41—611no—
1232C2×#41—1221no—
1233C2×#41—1221no—
1234C2×#41—1221no—
1235C2×#41—1221no—
1236C2×#41—1221no—
1237C2×#41—1221no—
1238C2×#41—1221no—
1239C2×#41—1221no—
1240C2×#41—1221no—
1241C2×#41—1221no—
1242C2×#41C22×D6111yescharacteristic
1243C2×#41C22×D6111yescharacteristic
1244C2×#41C22×D6111yescharacteristic
1245C22×Q8—611no—
1246C22×Q8—611no—
1247C22×Q8—611no—
1248C22×Q8—611no—
1249C22×Q8—611no—
1250C22×Q8—611no—
1251C22×Q8—611no—
1252C22×Q8—611no—
1253C22×Q8—1221no—
1254C22×Q8—1221no—
1255C22×Q8—1221no—
1256C22×Q8C22×D6111yescharacteristic
1257C22×D4—611no—
1258C22×D4—611no—
1259C22×D4—611no—
1260C22×D4—1221no—
1261C22×D4—1221no—
1262C22×D4—1221no—
1263#137—24no—
1264#137—1224no—
1265#137—1224no—
1266#137—1224no—
1267#137—1224no—
1268#137—1224no—
1269#137—1224no—
1270#137—1224no—
1271#137—1224no—
1272AGL(1,ℤ/8)—1224no—
1273AGL(1,ℤ/8)—1224no—
1274AGL(1,ℤ/8)—1224no—
1275#135—24no—
1276#135—618no—
1277#135—1224no—
1278#135—1224no—
1279#135—1224no—
1280C2×Q16—611no—
1281C2×Q16—611no—
1282C2×Q16—611no—
1283C2×Q16—611no—
1284C2×Q16—611no—
1285C2×Q16—611no—
1286C2×Q16—611no—
1287C2×Q16—611no—
1288C2×Q16—611no—
1289C2×Q16—611no—
1290C2×Q16—611no—
1291C2×Q16—1224no—
1292C2×Q16—1224no—
1293C2×Q16—1224no—
1294C2×Q16—2442no—
1295C2×Q16C22×D6111yescharacteristic
1296C2×Q16C22×D6111yescharacteristic
1297C2×Q16C22×D6111yescharacteristic
1298C2×Q16C22×D6111yescharacteristic
1299C2×SD16—611no—
1300C2×SD16—611no—
1301C2×SD16—611no—
1302C2×SD16—611no—
1303C2×SD16—611no—
1304C2×SD16—611no—
1305C2×SD16—611no—
1306C2×SD16—611no—
1307C2×SD16—611no—
1308C2×SD16—611no—
1309C2×SD16—611no—
1310C2×SD16—611no—
1311C2×SD16—611no—
1312C2×SD16—611no—
1313C2×SD16—1224no—
1314C2×SD16—1224no—
1315C2×SD16—1224no—
1316C2×SD16—2442no—
1317C2×SD16C22×D6111yescharacteristic
1318C2×SD16C22×D6111yescharacteristic
1319C2×SD16C22×D6111yescharacteristic
1320C2×SD16C22×D6111yescharacteristic
1321C2×D8—611no—
1322C2×D8—611no—
1323C2×D8C22×D6111yescharacteristic
1324#131—1224no—
1325#131—1224no—
1326C2×M16—611no—
1327C2×M16—611no—
1328C2×M16—611no—
1329C2×M16—611no—
1330C2×M16—611no—
1331C2×M16C22×D6111yescharacteristic
1332C22×C8—611no—
1333C22×C8—611no—
1334C22×C8—611no—
1335C22×C8—611no—
1336C22×C8—611no—
1337C22×C8C22×D6111yescharacteristic
1338C4⋊Q8—611no—
1339C4⋊Q8—611no—
1340C4⋊Q8—611no—
1341C4⋊Q8—611no—
1342C4⋊Q8—1221no—
1343C4⋊Q8—1221no—
1344C4⋊Q8—1221no—
1345C4⋊Q8—1221no—
1346C4⋊Q8—1221no—
1347C4⋊Q8—1221no—
1348C4⋊Q8—1221no—
1349C4⋊Q8—1221no—
1350C4⋊Q8—1221no—
1351C4⋊Q8C22×D6111yescharacteristic
1352#127—611no—
1353#127—1221no—
1354#124—21no—
1355#124—611no—
1356#124—611no—
1357#124—611no—
1358#124—611no—
1359#124—611no—
1360#124—1221no—
1361#124—1221no—
1362#124—1221no—
1363#124—1221no—
1364#124—1221no—
1365#124—1221no—
1366#124—1221no—
1367#124—1221no—
1368#124—1221no—
1369#124C22×D6111yescharacteristic
1370#123—21no—
1371#123—21no—
1372#123—1221no—
1373#123—1221no—
1374#123—1221no—
1375#123—1221no—
1376#123—1221no—
1377#123—1221no—
1378#123—1221no—
1379#123—1221no—
1380#123—1221no—
1381#123—1221no—
1382#123—1221no—
1383#123—1221no—
1384#123—1221no—
1385#123—1221no—
1386#123—1221no—
1387#123—1221no—
1388C22⋊Q8—21no—
1389C22⋊Q8—611no—
1390C22⋊Q8—611no—
1391C22⋊Q8—611no—
1392C22⋊Q8—611no—
1393C22⋊Q8—611no—
1394C22⋊Q8—611no—
1395C22⋊Q8—611no—
1396C22⋊Q8—611no—
1397C22⋊Q8—611no—
1398C22⋊Q8—1221no—
1399C22⋊Q8—1221no—
1400C22⋊Q8—1221no—
1401C22⋊Q8—1221no—
1402C22⋊Q8—1221no—
1403C22⋊Q8—1221no—
1404C22⋊Q8—1221no—
1405C22⋊Q8—1221no—
1406C22⋊Q8—1221no—
1407C22⋊Q8—1221no—
1408C22⋊Q8—1221no—
1409C22⋊Q8C22×D6111yescharacteristic
1410C22⋊Q8C22×D6111yescharacteristic
1411C22⋊Q8C22×D6111yescharacteristic
1412#121—21no—
1413#121—21no—
1414#121—611no—
1415#121—611no—
1416#121—611no—
1417#121—611no—
1418#121—611no—
1419#121—611no—
1420#121—611no—
1421#121—1221no—
1422#121—1221no—
1423#121—1221no—
1424#121—1221no—
1425#121—1221no—
1426#121—1221no—
1427#121—1221no—
1428#121—1221no—
1429#121—1221no—
1430#121—1221no—
1431#121C22×D6111yescharacteristic
1432#120—1221no—
1433#120—1221no—
1434#120—1221no—
1435#120—1221no—
1436#120—1221no—
1437#120—1221no—
1438C4×Q8—611no—
1439C4×Q8—611no—
1440C4×Q8—611no—
1441C4×Q8C22×D6111yescharacteristic
1442C4×D4—21no—
1443C4×D4—611no—
1444C4×D4—611no—
1445C4×D4—611no—
1446C4×D4—611no—
1447C4×D4—611no—
1448C4×D4—611no—
1449C4×D4—1221no—
1450C4×D4—1221no—
1451C4×D4—1221no—
1452C4×D4—1221no—
1453C4×D4—1221no—
1454C4×D4—1221no—
1455C4×D4—1221no—
1456C4×D4—1221no—
1457C4×D4—1221no—
1458C4×D4—1221no—
1459C4×D4—1221no—
1460C4×D4C22×D6111yescharacteristic
1461C4×D4C22×D6111yescharacteristic
1462#117—611no—
1463#117—611no—
1464#117—1221no—
1465#117—1221no—
1466C2×C4⋊C4—21no—
1467C2×C4⋊C4—1221no—
1468C2×C4⋊C4—1221no—
1469C2×C4⋊C4—1221no—
1470C2×C4⋊C4—1221no—
1471C2×C4⋊C4—1221no—
1472C2×C22⋊C4—1221no—
1473C2×C22⋊C4—1221no—
1474C2×C22⋊C4—1221no—
1475C2×C22⋊C4—1221no—
1476C2×C22⋊C4—1221no—
1477C2×C22⋊C4—1221no—
1478C2×C42—611no—
1479C2×C42—1221no—
1480C2×C42—1221no—
1481#107—611no—
1482#107C22×D6111yescharacteristic
1483#106—611no—
1484#106—611no—
1485C4⋊C8—611no—
1486C4⋊C8—611no—
1487C4⋊C8—611no—
1488C4⋊C8C22×D6111yescharacteristic
1489#103—611no—
1490#103—611no—
1491#103—611no—
1492#103—611no—
1493#103—611no—
1494#103—611no—
1495#103—611no—
1496#103—611no—
1497#103—611no—
1498#103—611no—
1499#103—611no—
1500#103—611no—
1501#103C22×D6111yescharacteristic
1502#103C22×D6111yescharacteristic
1503#103C22×D6111yescharacteristic
1504#103C22×D6111yescharacteristic
1505#102—611no—
1506#102—611no—
1507#102—611no—
1508#102—611no—
1509#102—611no—
1510#102—611no—
1511#102C22×D6111yescharacteristic
1512#102C22×D6111yescharacteristic
1513C22⋊C8—611no—
1514C22⋊C8—611no—
1515C22⋊C8—611no—
1516C22⋊C8—611no—
1517C22⋊C8—611no—
1518C22⋊C8—611no—
1519C22⋊C8C22×D6111yescharacteristic
1520C22⋊C8C22×D6111yescharacteristic
1521#97—611no—
1522#97—611no—
1523#97—611no—
1524#97C22×D6111yescharacteristic
1525C24—1221no—
1526C24—1221no—
1527C24—1221no—
1528#41—22no—
1529#41—22no—
1530#41—22no—
1531#41—41no—
1532#41—41no—
1533#41—41no—
1534#41—614no—
1535#41—614no—
1536#41—1222no—
1537#41—1222no—
1538#41—1222no—
1539#41—1222no—
1540#41—1222no—
1541#41—1222no—
1542#41—1222no—
1543#41—1222no—
1544#41—1222no—
1545#41—1222no—
1546#41—1222no—
1547#41—2441no—
1548#41—2444no—
1549#41—2444no—
1550#41—2444no—
1551#41—2444no—
1552#41—2444no—
1553#41—2441no—
1554#41—2441no—
1555#41—2444no—
1556#41—2444no—
1557#41—2441no—
1558#41—2441no—
1559#41—2444no—
1560#41—2444no—
1561#41—2444no—
1562C2×Q8—21no—
1563C2×Q8—22no—
1564C2×Q8—41no—
1565C2×Q8—611no—
1566C2×Q8—611no—
1567C2×Q8—611no—
1568C2×Q8—611no—
1569C2×Q8—611no—
1570C2×Q8—611no—
1571C2×Q8—1221no—
1572C2×Q8—1221no—
1573C2×Q8—1221no—
1574C2×Q8—1221no—
1575C2×Q8—1221no—
1576C2×Q8—1221no—
1577C2×Q8—1222no—
1578C2×Q8—1222no—
1579C2×Q8—1222no—
1580C2×Q8—1222no—
1581C2×Q8—1222no—
1582C2×Q8—1222no—
1583C2×Q8—1222no—
1584C2×Q8—1222no—
1585C2×Q8—1221no—
1586C2×Q8—1221no—
1587C2×Q8—1222no—
1588C2×Q8—1222no—
1589C2×Q8—1222no—
1590C2×Q8—2441no—
1591C2×Q8—2441no—
1592C2×Q8—2444no—
1593C2×Q8—2444no—
1594C2×Q8—2441no—
1595C2×Q8—2441no—
1596C2×Q8—2441no—
1597C2×Q8—2444no—
1598C2×Q8C23×D6111yescharacteristic
1599C2×Q8C23×D6111yescharacteristic
1600C2×Q8C23×D6111yescharacteristic
1601C2×Q8C23×D6111yescharacteristic
1602C2×D4—21no—
1603C2×D4—21no—
1604C2×D4—21no—
1605C2×D4—21no—
1606C2×D4—611no—
1607C2×D4—611no—
1608C2×D4—611no—
1609C2×D4—611no—
1610C2×D4—611no—
1611C2×D4—611no—
1612C2×D4—611no—
1613C2×D4—611no—
1614C2×D4—611no—
1615C2×D4—611no—
1616C2×D4—611no—
1617C2×D4—1222no—
1618C2×D4—1221no—
1619C2×D4—1221no—
1620C2×D4—1221no—
1621C2×D4—1221no—
1622C2×D4—1222no—
1623C2×D4—1222no—
1624C2×D4—1221no—
1625C2×D4—1221no—
1626C2×D4—1222no—
1627C2×D4—1221no—
1628C2×D4—1221no—
1629C2×D4—1221no—
1630C2×D4—1221no—
1631C2×D4—1221no—
1632C2×D4—1221no—
1633C2×D4—1221no—
1634C2×D4—2441no—
1635C2×D4—2444no—
1636C2×D4—2441no—
1637C2×D4—2444no—
1638C2×D4—2444no—
1639C2×D4D4×D6111yescharacteristic
1640C2×D4C23×D6111yescharacteristic
1641C2×D4C23×D6111yescharacteristic
1642C22×C4—21no—
1643C22×C4—21no—
1644C22×C4—21no—
1645C22×C4—21no—
1646C22×C4—21no—
1647C22×C4—611no—
1648C22×C4—611no—
1649C22×C4—611no—
1650C22×C4—611no—
1651C22×C4—611no—
1652C22×C4—1221no—
1653C22×C4—1221no—
1654C22×C4—1221no—
1655C22×C4—1221no—
1656C22×C4—1221no—
1657C22×C4—1221no—
1658C22×C4—1221no—
1659C22×C4—1221no—
1660C22×C4—1221no—
1661C22×C4—1221no—
1662C22×C4—1221no—
1663C22×C4—1221no—
1664C22×C4—1221no—
1665C22×C4—1221no—
1666C22×C4—1221no—
1667C22×C4—1221no—
1668C22×C4—1221no—
1669C22×C4—1221no—
1670C22×C4C23×D6111yescharacteristic
1671C22×C4C23×D6111yescharacteristic
1672Q16—22no—
1673Q16—22no—
1674Q16—22no—
1675Q16—41no—
1676Q16—614no—
1677Q16—1222no—
1678Q16—1222no—
1679Q16—1222no—
1680Q16—1222no—
1681Q16—1222no—
1682Q16—1222no—
1683Q16—1222no—
1684Q16—2441no—
1685Q16—2441no—
1686Q16—2441no—
1687SD16—22no—
1688SD16—22no—
1689SD16—41no—
1690SD16—614no—
1691SD16—1222no—
1692SD16—1222no—
1693SD16—1222no—
1694SD16—1222no—
1695SD16—1222no—
1696SD16—1222no—
1697SD16—1222no—
1698SD16—1222no—
1699SD16—1222no—
1700SD16—1222no—
1701SD16—2441no—
1702SD16—2441no—
1703SD16—2441no—
1704SD16D4×D6114yes—
1705D8—22no—
1706D8—614no—
1707D8—1222no—
1708M16—22no—
1709M16—1222no—
1710M16—1222no—
1711M16—1222no—
1712M16—1222no—
1713M16—1222no—
1714C2×C8—22no—
1715C2×C8—611no—
1716C2×C8—614no—
1717C2×C8—611no—
1718C2×C8—611no—
1719C2×C8—611no—
1720C2×C8—1222no—
1721C2×C8—1222no—
1722C2×C8—1222no—
1723C2×C8—1222no—
1724C2×C8C23×D6111yescharacteristic
1725C2×C8C23×D6111yescharacteristic
1726C2×C8C23×D6111yescharacteristic
1727C2×C8C23×D6111yescharacteristic
1728C4⋊C4—21no—
1729C4⋊C4—21no—
1730C4⋊C4—21no—
1731C4⋊C4—21no—
1732C4⋊C4—21no—
1733C4⋊C4—21no—
1734C4⋊C4—611no—
1735C4⋊C4—611no—
1736C4⋊C4—611no—
1737C4⋊C4—611no—
1738C4⋊C4—611no—
1739C4⋊C4—1221no—
1740C4⋊C4—1221no—
1741C4⋊C4—1221no—
1742C4⋊C4—1221no—
1743C4⋊C4—1221no—
1744C4⋊C4—1221no—
1745C4⋊C4—1221no—
1746C4⋊C4—1221no—
1747C4⋊C4—1221no—
1748C4⋊C4—1221no—
1749C4⋊C4—1221no—
1750C4⋊C4—1221no—
1751C4⋊C4—1221no—
1752C4⋊C4—1221no—
1753C4⋊C4—1221no—
1754C4⋊C4—1221no—
1755C4⋊C4—1221no—
1756C4⋊C4—1221no—
1757C4⋊C4D4×D6111yescharacteristic
1758C4⋊C4C23×D6111yescharacteristic
1759C4⋊C4C23×D6111yescharacteristic
1760C22⋊C4—21no—
1761C22⋊C4—21no—
1762C22⋊C4—21no—
1763C22⋊C4—21no—
1764C22⋊C4—21no—
1765C22⋊C4—21no—
1766C22⋊C4—21no—
1767C22⋊C4—611no—
1768C22⋊C4—611no—
1769C22⋊C4—611no—
1770C22⋊C4—611no—
1771C22⋊C4—611no—
1772C22⋊C4—611no—
1773C22⋊C4—1221no—
1774C22⋊C4—1221no—
1775C22⋊C4—1221no—
1776C22⋊C4—1221no—
1777C22⋊C4—1221no—
1778C22⋊C4—1221no—
1779C22⋊C4—1221no—
1780C22⋊C4—1221no—
1781C22⋊C4—1221no—
1782C22⋊C4—1221no—
1783C22⋊C4—1221no—
1784C22⋊C4—1221no—
1785C22⋊C4—1221no—
1786C22⋊C4—1221no—
1787C22⋊C4—1221no—
1788C22⋊C4—1221no—
1789C22⋊C4—1221no—
1790C22⋊C4—1221no—
1791C22⋊C4—1221no—
1792C22⋊C4—1221no—
1793C22⋊C4—1221no—
1794C22⋊C4—1221no—
1795C22⋊C4—1221no—
1796C22⋊C4D4×D6111yescharacteristic
1797C22⋊C4D4×D6111yescharacteristic
1798C42—21no—
1799C42—611no—
1800C42—611no—
1801C42—611no—
1802C42—1221no—
1803C42—1221no—
1804C42—1221no—
1805C42—1221no—
1806C42—1221no—
1807C42C23×D6111yescharacteristic
1808C23—21no—
1809C23—21no—
1810C23—611no—
1811C23—611no—
1812C23—611no—
1813C23—1221no—
1814C23—1221no—
1815C23—4881no—
1816C23—4881no—
1817C23—4881no—
1818C23—4881no—
1819C23—4881no—
1820C23—4881no—
1821C23—2442no—
1822C23—2442no—
1823C23—2442no—
1824C23C2×D4×D6111yescharacteristic
1825C23C2×D4×D6111yescharacteristic
1826Q8—21no—
1827Q8—21no—
1828Q8—21no—
1829Q8—21no—
1830Q8—21no—
1831Q8—21no—
1832Q8—21no—
1833Q8—42no—
1834Q8—612no—
1835Q8—1222no—
1836Q8—1222no—
1837Q8—1221no—
1838Q8—1221no—
1839Q8—1221no—
1840Q8—1221no—
1841Q8—1221no—
1842Q8—1221no—
1843Q8—1221no—
1844Q8—2442no—
1845Q8—2442no—
1846Q8—2442no—
1847Q8—2442no—
1848Q8—2442no—
1849Q8—2442no—
1850Q8—2442no—
1851Q8—2442no—
1852Q8C2×D4×D6112yes—
1853D4—21no—
1854D4—21no—
1855D4—21no—
1856D4—41no—
1857D4—42no—
1858D4—42no—
1859D4—42no—
1860D4—81no—
1861D4—612no—
1862D4—1222no—
1863D4—1222no—
1864D4—1224no—
1865D4—1222no—
1866D4—1222no—
1867D4—1222no—
1868D4—1222no—
1869D4—1224no—
1870D4—1221no—
1871D4—1221no—
1872D4—1221no—
1873D4—4881no—
1874D4—4881no—
1875D4—4881no—
1876D4—2441no—
1877D4—2442no—
1878D4—2442no—
1879D4—2442no—
1880D4—2442no—
1881D4—2441no—
1882D4—2441no—
1883D4—2442no—
1884D4—2442no—
1885D4—2442no—
1886D4—2442no—
1887D4C2×D4×D6112yes—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—42no—
1899C2×C4—42no—
1900C2×C4—42no—
1901C2×C4—42no—
1902C2×C4—42no—
1903C2×C4—611no—
1904C2×C4—612no—
1905C2×C4—612no—
1906C2×C4—611no—
1907C2×C4—611no—
1908C2×C4—611no—
1909C2×C4—611no—
1910C2×C4—1224no—
1911C2×C4—1224no—
1912C2×C4—1221no—
1913C2×C4—1221no—
1914C2×C4—1221no—
1915C2×C4—1221no—
1916C2×C4—1221no—
1917C2×C4—1221no—
1918C2×C4—1221no—
1919C2×C4—1221no—
1920C2×C4—1221no—
1921C2×C4—1221no—
1922C2×C4—4881no—
1923C2×C4—4881no—
1924C2×C4—2441no—
1925C2×C4—2441no—
1926C2×C4—2442no—
1927C2×C4—2442no—
1928C2×C4—2442no—
1929C2×C4—2442no—
1930C2×C4—2442no—
1931C2×C4—2442no—
1932C2×C4—2442no—
1933C2×C4—2442no—
1934C2×C4—2442no—
1935C2×C4—2442no—
1936C2×C4—2442no—
1937C2×C4—2442no—
1938C2×C4—2442no—
1939C2×C4—2442no—
1940C2×C4C2×D4×D6111yescharacteristic
1941C2×C4C2×D4×D6111yescharacteristic
1942C2×C4C2×D4×D6111yescharacteristic
1943C2×C4C2×D4×D6111yescharacteristic
1944C2×C4C24×D6111yescharacteristic
1945C8—21no—
1946C8—21no—
1947C8—21no—
1948C8—612no—
1949C8—1221no—
1950C8—1221no—
1951C8—1221no—
1952C8C2×D4×D6112yes—
1953C22—21no—
1954C22—21no—
1955C22—22no—
1956C22—21no—
1957C22—21no—
1958C22—21no—
1959C22—21no—
1960C22—41no—
1961C22—41no—
1962C22—41no—
1963C22—41no—
1964C22—41no—
1965C22—612no—
1966C22—1221no—
1967C22—1221no—
1968C22—1221no—
1969C22—1222no—
1970C22—1221no—
1971C22—1221no—
1972C22—1221no—
1973C22—1221no—
1974C22—1221no—
1975C22—9762no—
1976C22—9762no—
1977C22—9762no—
1978C22—2441no—
1979C22—2441no—
1980C22—2441no—
1981C22—2441no—
1982C22—2441no—
1983C22C22×D4×D6111yescharacteristic
1984C4—21no—
1985C4—21no—
1986C4—22no—
1987C4—21no—
1988C4—21no—
1989C4—41no—
1990C4—41no—
1991C4—41no—
1992C4—41no—
1993C4—41no—
1994C4—612no—
1995C4—1221no—
1996C4—1221no—
1997C4—1222no—
1998C4—1221no—
1999C4—1221no—
2000C4—2441no—
2001C4—2441no—
2002C4—2441no—
2003C4—2441no—
2004C4—2441no—
2005C4C22×D4×D6111yescharacteristic
2006C4H(5,𝔽2)×D6111yescharacteristic
2007C2—41no—
2008C2—41no—
2009C2—42no—
2010C2—81no—
2011C2—1222no—
2012C2—4881no—
2013C2—2441no—
2014C2—2441no—
2015C2—2442no—
2016C2D42×D6111yescharacteristic
2017C2#2146060311yescharacteristic
2018C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3269C2
socleC22×C61C23×D4
hypercenter#3269D61
hypocenterC61#61083
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. C2×#16840578C2semidirect
2. C2×#16840569C2semidirect
3. #21459610C2semidirect
4. #21459598C2semidirect
5. #21457395C2semidirect
6. #21457393C2semidirect
7. #21457387C2semidirect
8. #21457385C2semidirect
9. #21457376C2semidirect
10. #21457374C2semidirect
11. #21457368C2semidirect
12. #21457347C2semidirect
13. #21457345C2semidirect
14. #21457339C2semidirect
15. #21457337C2semidirect
16. #21457336C2semidirect
17. #21457334C2semidirect
18. #21457328C2semidirect
19. #21457326C2semidirect
20. #497×D61C2semidirect
21. #21455469C2semidirect
22. #21455456C2semidirect
23. #21455308C2semidirect
24. #21455303C2semidirect
25. #21455111C2semidirect
26. #21455109C2semidirect
27. #21455102C2semidirect
28. #21455093C2semidirect
29. #21454614C2semidirect
30. #21454533C2semidirect
31. C61×#3269C2semidirect
34. C2×#14519824C22semidirect
38. C2×#14519810C22semidirect
42. C2×#14519809C22semidirect
44. C2×#14519806C22semidirect
45. C2×#14519806C22semidirect
51. C2×#14519798C22semidirect
52. C2×#14519797C22semidirect
53. C22×#11758202C22semidirect
54. C2×Q16×D61C22semidirect
55. C2×Q16×D61C22semidirect
56. C2×Q16×D61C22semidirect
61. C2×#14519785C22semidirect
63. D4×Dic122C22semidirect
64. #16840427C22semidirect
65. #16840425C22semidirect
66. #16840425C22semidirect
70. #16840416C22semidirect
73. #16840411C22semidirect
74. #16840411C22semidirect
88. #16840335C22semidirect
97. C4⋊Q8×D61C22semidirect
101. C4×#11758224C22semidirect
102. #16840157C22semidirect
103. #16840156C22semidirect
104. #16840155C22semidirect
105. #16840155C22semidirect
106. #16840154C22semidirect
107. #16840153C22semidirect
108. #16840153C22semidirect
109. #16840019C22semidirect
110. #16840019C22semidirect
111. #16840018C22semidirect
112. #16840018C22semidirect
113. #16840009C22semidirect
114. #16840008C22semidirect
115. #16840005C22semidirect
116. #16840004C22semidirect
117. #16840003C22semidirect
118. #16840000C22semidirect
119. #16839994C22semidirect
120. #16839993C22semidirect
121. #16839990C22semidirect
122. #16839989C22semidirect
123. #16839987C22semidirect
124. #16839985C22semidirect
125. #16839983C22semidirect
126. #16839981C22semidirect
127. #16839979C22semidirect
128. #16839977C22semidirect
129. #16839975C22semidirect
130. #16839972C22semidirect
131. #16839970C22semidirect
132. #16839970C22semidirect
133. #16839968C22semidirect
134. #16839966C22semidirect
135. #16839966C22semidirect
136. #16839964C22semidirect
138. #16839927C22semidirect
139. #16839926C22semidirect
140. #16839925C22semidirect
142. #16839924C22semidirect
144. #16839923C22semidirect
145. #16839922C22semidirect
146. #16839921C22semidirect
147. #16839920C22semidirect
148. #16839919C22semidirect
149. #16839919C22semidirect
150. #16839918C22semidirect
151. #16839917C22semidirect
152. #16839916C22semidirect
153. #16839916C22semidirect
158. #16839908C22semidirect
159. #16839907C22semidirect
160. #16839904C22semidirect
161. #16839903C22semidirect
162. #16839902C22semidirect
163. #16839900C22semidirect
164. #16839899C22semidirect
165. #16839872C22semidirect
166. #16839871C22semidirect
167. #16839867C22semidirect
168. #16839866C22semidirect
169. #16839864C22semidirect
170. #16839863C22semidirect
171. #16839861C22semidirect
172. #16839836C22semidirect
173. #16839835C22semidirect
174. #16839834C22semidirect
175. #16839833C22semidirect
176. #16839832C22semidirect
177. #16839831C22semidirect
178. #16839830C22semidirect
179. #16839799C22semidirect
180. #16839784C22semidirect
181. #16839769C22semidirect
182. #16839769C22semidirect
183. #16839769C22semidirect
186. #16839755C22semidirect
188. #16839727C22semidirect
189. #97×D61C22semidirect
190. C2×#137×C61C22semidirect
193. C61×#547C22semidirect
194. C61×#497C22semidirect
195. C61×#468C22semidirect
196. C61×#467C22semidirect
197. C61×#463C22semidirect
198. C61×#462C22semidirect
200. C61×#452C22semidirect
201. C61×#451C22semidirect
202. C61×#449C22semidirect
203. C61×#440C22semidirect
204. C61×#435C22semidirect
262. #14519798D4semidirect
1009. #3269D61semidirect
1055. C2×#137C2×D61semidirect
1089. #547C2×D61semidirect
1122. #497C2×D61semidirect
1130. #468C2×D61semidirect
1134. #467C2×D61semidirect
1146. #463C2×D61semidirect
1150. #462C2×D61semidirect
1166. #452C2×D61semidirect
1174. #451C2×D61semidirect
1182. #449C2×D61semidirect
1194. #440C2×D61semidirect
1202. #435C2×D61semidirect
1214. C61#61083semidirect

Maximal subgroups

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

subgroupindex
C2×#168405782
C2×#168405692
#214596102
#214595982
#214573952
#214573932
#214573872
#214573852
#214573762
#214573742
#214573682
#214573472
#214573452
#214573392
#214573372
#214573362
#214573342
#214573282
#214573262
#497×D612
#214554692
#214554562
#214553082
#214553032
#214551112
#214551092
#214551022
#214550932
#214546142
#214545332
C61×#32692
#6108361