Finite Group Databasebeta

← #30565958

Subgroups — #30565958

Order 15616.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460087C211yesmaximal, characteristic, complemented
2#21459484C211yesmaximal, characteristic, complemented
3#21458056C211yesmaximal, characteristic, complemented
4#21458045C211yesmaximal, characteristic, complemented
5#21458000C211yesmaximal, characteristic, complemented
6#21457973C211yesmaximal, characteristic, complemented
7#21457880C211yesmaximal, characteristic, complemented
8#21457853C211yesmaximal, characteristic, complemented
9#21457767C211yesmaximal, characteristic, complemented
10#21457756C211yesmaximal, characteristic, complemented
11#21457529C211yesmaximal, characteristic, complemented
12#21457502C211yesmaximal, characteristic, complemented
13#21457473C211yesmaximal, characteristic, complemented
14#21457457C211yesmaximal, characteristic, complemented
15#21457397C211yesmaximal, characteristic, complemented
16#21457363C211yesmaximal, characteristic, complemented
17#21457321C211yesmaximal, characteristic, complemented
18#21457306C211yesmaximal, characteristic, complemented
19#21456917C211yesmaximal, characteristic, complemented
20#21456909C211yesmaximal, characteristic, complemented
21#21456708C211yesmaximal, characteristic, complemented
22#21456678C211yesmaximal, characteristic, complemented
23#21456584C211yesmaximal, characteristic, complemented
24#21456091C211yesmaximal, characteristic, complemented
25#21456076C211yesmaximal, characteristic, complemented
26#21455091C211yesmaximal, characteristic, complemented
27#21455082C211yesmaximal, characteristic, complemented
28#21455064C211yesmaximal, characteristic, complemented
29#21455035C211yesmaximal, characteristic, complemented
30#21454869C211yesmaximal, characteristic, complemented
31C61×#3194C211yesmaximal, characteristic, complemented
32C2×#14519822C2211yescharacteristic
33C22×#11758222C2211yescharacteristic, complemented
34C2×#14519810C2211yescharacteristic, complemented
35C2×#14519806C2211yescharacteristic, complemented
36C2×#14519805C2211yescharacteristic, complemented
37C2×#14519801C2211yescharacteristic, complemented
38C2×#14519797C2211yescharacteristic, complemented
39C2×#14519797C2211yescharacteristic, complemented
40C2×SD16×D61C2211yescharacteristic, complemented
41C2×D8×D61C2211yescharacteristic, complemented
42#16840505—21no—
43#16840501—21no—
44#16840495—21no—
45#16840483C2211yescharacteristic, complemented
46#16840480C2211yescharacteristic, complemented
47#16840476C2211yescharacteristic, complemented
48#16840475C2211yescharacteristic, complemented
49#16840441—21no—
50#16840430C2211yescharacteristic
51#16840430C2211yescharacteristic, complemented
52#16840422C2211yescharacteristic, complemented
53#16840419C2211yescharacteristic, complemented
54#16840418C2211yescharacteristic
55#16840418C2211yescharacteristic, complemented
56#16840409C2211yescharacteristic
57#16840409C2211yescharacteristic, complemented
58#16840409C2211yescharacteristic, complemented
59#16840402—21no—
60#16840402—21no—
61#16840400C2211yescharacteristic, complemented
62#16840396C2211yescharacteristic
63#16840396C2211yescharacteristic, complemented
64D4×C22⋊D61—21no—
65D4×C22⋊D61—21no—
66#16840385C2211yescharacteristic, complemented
67#16840380—21no—
68#16840379C2211yescharacteristic, complemented
69#16840377—21no—
70#16840348—21no—
71#16840345—21no—
72#16840343C2211yescharacteristic
73#16840341—21no—
74#16840335C2211yescharacteristic, complemented
75#16840329C2211yescharacteristic, complemented
76#16840328—21no—
77#16840328C2211yescharacteristic, complemented
78#16840273C2211yescharacteristic
79#16840273C2211yescharacteristic, complemented
80#16840272—21no—
81#121×D61—21no—
82#16840243C2211yescharacteristic, complemented
83#16840150C2211yescharacteristic, complemented
84#16840148C2211yescharacteristic, complemented
85#16840145C2211yescharacteristic, complemented
86#16840143C2211yescharacteristic, complemented
87#16840120C2211yescharacteristic, complemented
88#16840120C2211yescharacteristic, complemented
89#16840107C2211yescharacteristic, complemented
90#16840107C2211yescharacteristic, complemented
91#16840106C2211yescharacteristic, complemented
92#16840105C2211yescharacteristic, complemented
93#16840097C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840088C2211yescharacteristic, complemented
96#16840083C2211yescharacteristic, complemented
97#16840083C2211yescharacteristic, complemented
98#16840080C2211yescharacteristic, complemented
99#16840056C2211yescharacteristic, complemented
100#16840051C2211yescharacteristic, complemented
101#16840046C2211yescharacteristic, complemented
102#16840041C2211yescharacteristic, complemented
103#16840021C2211yescharacteristic, complemented
104#16840014C2211yescharacteristic, complemented
105#16840011C2211yescharacteristic, complemented
106#16840009C2211yescharacteristic, complemented
107#16840002C2211yescharacteristic, complemented
108#16839999C2211yescharacteristic, complemented
109#16839996C2211yescharacteristic, complemented
110#16839996C2211yescharacteristic, complemented
111#16839992C2211yescharacteristic, complemented
112#16839990C2211yescharacteristic, complemented
113#16839989C2211yescharacteristic, complemented
114#16839989C2211yescharacteristic, complemented
115#16839987C2211yescharacteristic, complemented
116#16839983C2211yescharacteristic, complemented
117#16839983C2211yescharacteristic, complemented
118#16839982C2211yescharacteristic, complemented
119#16839980C2211yescharacteristic, complemented
120#16839976C2211yescharacteristic, complemented
121#16839976C2211yescharacteristic, complemented
122#16839975C2211yescharacteristic, complemented
123#16839961C2211yescharacteristic, complemented
124#16839960C2211yescharacteristic, complemented
125#16839956C2211yescharacteristic, complemented
126#16839955C2211yescharacteristic, complemented
127#16839926C2211yescharacteristic, complemented
128#16839926C2211yescharacteristic, complemented
129#16839926C2211yescharacteristic, complemented
130#16839926C2211yescharacteristic, complemented
131#16839925C2211yescharacteristic, complemented
132#16839922C2211yescharacteristic, complemented
133#16839922C2211yescharacteristic, complemented
134#16839921C2211yescharacteristic, complemented
135#16839919C2211yescharacteristic, complemented
136#16839917C2211yescharacteristic, complemented
137#16839914C2211yescharacteristic, complemented
138#16839914C2211yescharacteristic, complemented
139#16839913C2211yescharacteristic, complemented
140#16839912C2211yescharacteristic, complemented
141#16839911C2211yescharacteristic, complemented
142#16839909C2211yescharacteristic
143#16839909C2211yescharacteristic, complemented
144#16839909C2211yescharacteristic, complemented
145#16839909C2211yescharacteristic, complemented
146#16839908C2211yescharacteristic, complemented
147#16839905C2211yescharacteristic
148#16839905C2211yescharacteristic, complemented
149#16839905C2211yescharacteristic, complemented
150#16839905C2211yescharacteristic, complemented
151#16839904C2211yescharacteristic, complemented
152#16839902C2211yescharacteristic, complemented
153#16839900C2211yescharacteristic, complemented
154#16839897C2211yescharacteristic, complemented
155#16839897C2211yescharacteristic, complemented
156#16839896C2211yescharacteristic, complemented
157#16839895C2211yescharacteristic, complemented
158#16839894C2211yescharacteristic, complemented
159#16839873C2211yescharacteristic, complemented
160#16839866C2211yescharacteristic, complemented
161#16839861C2211yescharacteristic, complemented
162#16839859C2211yescharacteristic, complemented
163#16839856C2211yescharacteristic, complemented
164#16839849C2211yescharacteristic, complemented
165#16839847C2211yescharacteristic, complemented
166#16839842C2211yescharacteristic, complemented
167#16839838C2211yescharacteristic, complemented
168#16839838C2211yescharacteristic, complemented
169#16839831C2211yescharacteristic, complemented
170#16839831C2211yescharacteristic, complemented
171#16839830C2211yescharacteristic, complemented
172#16839830C2211yescharacteristic, complemented
173#16839825C2211yescharacteristic, complemented
174#16839825C2211yescharacteristic, complemented
175#16839820C2211yescharacteristic, complemented
176#16839820C2211yescharacteristic, complemented
177#16839772C2211yescharacteristic, complemented
178#16839768C2211yescharacteristic, complemented
179#16839765C2211yescharacteristic, complemented
180#16839765C2211yescharacteristic, complemented
181#16839756C2211yescharacteristic, complemented
182#16839756C2211yescharacteristic, complemented
183#16839755C2211yescharacteristic, complemented
184#16839755C2211yescharacteristic, complemented
185#16839727C2211yescharacteristic, complemented
186#16839727C2211yescharacteristic, complemented
187C2×C22⋊#92418C2211yescharacteristic, complemented
188C61×#525C2211yescharacteristic, complemented
189C2×#121×C61C2211yescharacteristic, complemented
190C61×#483C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#480C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic, complemented
195C61×#469C2211yescharacteristic, complemented
196C61×#468C2211yescharacteristic, complemented
197C61×#468C2211yescharacteristic, complemented
198C61×#450C2211yescharacteristic, complemented
199C61×#449C2211yescharacteristic, complemented
200C61×#449C2211yescharacteristic, complemented
201C61×#447C2211yescharacteristic, complemented
202C61×#407C2211yescharacteristic, complemented
203#14519822—42no—
204#14519822—42no—
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222—42no—
208C2×#11758222—42no—
209C2×#11758222C2311yescharacteristic
210C2×#11758222C2311yescharacteristic
211C2×#11758222C2311yescharacteristic
212C2×#11758222C2311yescharacteristic
213C2×#11758222C2311yescharacteristic
214C2×#11758222C2311yescharacteristic
215C2×#11758224—21no—
216C2×#11758224C2311yescharacteristic
217C2×#11758224C2311yescharacteristic
218C22×Dic122C2311yescharacteristic
219C2×Q8×D61C2311yescharacteristic
220C22×D244C2311yescharacteristic
221C22×C22⋊D61—21no—
222C22×C22⋊D61—21no—
223C22×C22⋊D61—21no—
224C2×D4×D61—21no—
225C2×D4×D61—21no—
226C2×D4×D61—21no—
227C2×D4×D61C2311yescharacteristic
228C2×D4×D61C2311yescharacteristic
229C2×D4×D61C2311yescharacteristic
230C22×C4×D61—21no—
231#14519810—42no—
232#14519806—42no—
233#14519805—42no—
234#14519801—42no—
235#14519797—42no—
236#14519797—42no—
237C2×Dic244C2311yescharacteristic
238C2×Dic244C2311yescharacteristic
239C2×#11758202C2311yescharacteristic
240C2×#11758202C2311yescharacteristic
241C2×#11758190C2311yescharacteristic
242C2×#11758190C2311yescharacteristic
243C2×#11758190C2311yescharacteristic
244C2×#11758190C2311yescharacteristic
245C2×#11758200C2311yescharacteristic
246C2×#11758200C2311yescharacteristic
247C2×#11758200C2311yescharacteristic
248C2×#11758200C2311yescharacteristic
249C2×#11758201C2311yescharacteristic
250C2×#11758201C2311yescharacteristic
251SD16×D61—42no—
252C2×D488C2311yescharacteristic
253C2×D488C2311yescharacteristic
254C2×#11758199C2311yescharacteristic
255C2×#11758199C2311yescharacteristic
256C2×#11758199C2311yescharacteristic
257C2×#11758199C2311yescharacteristic
258D8×D61—42no—
259C2×#11758189C2311yescharacteristic
260C2×#11758189C2311yescharacteristic
261C22×#92418C2311yescharacteristic
262C22×#92418C2311yescharacteristic
263C2×C8×D61C2311yescharacteristic
264C2×C8×D61C2311yescharacteristic
265#14519776—21no—
266#14519776C2311yescharacteristic
267#14519776C2311yescharacteristic
268#14519773—21no—
269#14519773—21no—
270#14519773—21no—
271#14519773C2311yescharacteristic
272#14519773C2311yescharacteristic
273#14519772—21no—
274#14519772—21no—
275#14519771—21no—
276#14519770—21no—
277#14519770—21no—
278#14519770—21no—
279#14519766C2311yescharacteristic
280#14519765—21no—
281#14519764—21no—
282#14519764—21no—
283#14519764—21no—
284#14519764C2311yescharacteristic
285#14519764C2311yescharacteristic
286#14519764C2311yescharacteristic
287#14519763—21no—
288#14519763—21no—
289#14519763—21no—
290#14519763—21no—
291#14519763—21no—
292#14519763—21no—
293#14519763—21no—
294#14519763—21no—
295#14519763—21no—
296#14519763—21no—
297#14519762—21no—
298#14519760—21no—
299#14519760—21no—
300#14519760D411yescharacteristic
301#14519760D411yescharacteristic
302#14519759—21no—
303#14519759—21no—
304#14519759—21no—
305#14519759—21no—
306#14519759—21no—
307#14519758—21no—
308#14519757—21no—
309#14519757—21no—
310#14519757C2311yescharacteristic
311#14519757C2311yescharacteristic
312#14519757C2311yescharacteristic
313#14519756—21no—
314#14519756D411yescharacteristic
315#14519756D411yescharacteristic
316#14519756C2311yescharacteristic
317#14519756C2311yescharacteristic
318#14519755—21no—
319#14519754—21no—
320#14519754—21no—
321#14519754—21no—
322#14519753C2311yescharacteristic
323#14519752—21no—
324#14519752C2311yescharacteristic
325#14519752C2311yescharacteristic
326#14519752C2311yescharacteristic
327#14519751—21no—
328#14519751—21no—
329#14519751D411yescharacteristic
330#14519751D411yescharacteristic
331#14519751C2311yescharacteristic
332#14519751C2311yescharacteristic
333#14519750—21no—
334#14519750—21no—
335#14519750—21no—
336#14519750—21no—
337#14519750—21no—
338#14519750—21no—
339#14519749—21no—
340#14519749—21no—
341#14519749—21no—
342#14519749—21no—
343#14519749—21no—
344#14519749—21no—
345#14519748—21no—
346#14519748—21no—
347#14519748—21no—
348#14519748—21no—
349#14519748—21no—
350#14519748—21no—
351#14519748C2311yescharacteristic
352#14519747—21no—
353#14519747—21no—
354#14519747—21no—
355#14519746—21no—
356#14519746—21no—
357#14519746—21no—
358#14519746D411yescharacteristic
359#14519746D411yescharacteristic
360#14519745—21no—
361#14519745—21no—
362#14519745—21no—
363#14519745—21no—
364#14519745—21no—
365#14519745—21no—
366#14519745—21no—
367Q8×Dic61C2311yescharacteristic
368C4×Dic122—21no—
369#14519742—21no—
370#14519742C2311yescharacteristic
371#14519742C2311yescharacteristic
372#14519742C2311yescharacteristic
373D4×Dic61—21no—
374D4×Dic61—21no—
375D4×Dic61C2311yescharacteristic
376#14519739—21no—
377#14519739C2311yescharacteristic
378#14519739C2311yescharacteristic
379#14519739C2311yescharacteristic
380C4×C22⋊D61—21no—
381C4×C22⋊D61—21no—
382C4×C22⋊D61—21no—
383C4×C22⋊D61—21no—
384C4×C22⋊D61—21no—
385C4×C22⋊D61C2311yescharacteristic
386C4×C22⋊D61C2311yescharacteristic
387C4×C22⋊D61C2311yescharacteristic
388C4×C22⋊D61C2311yescharacteristic
389#14519737—21no—
390#14519737—21no—
391#14519736C2311yescharacteristic
392#14519736C2311yescharacteristic
393#14519735—21no—
394#14519735C2311yescharacteristic
395#14519735C2311yescharacteristic
396#14519734—21no—
397#14519733—21no—
398C4⋊C4×D61—21no—
399C2×#11758198—21no—
400C22⋊C4×D61—21no—
401C22⋊C4×D61—21no—
402C22⋊C4×D61—21no—
403#14519710C2311yescharacteristic
404#14519710C2311yescharacteristic
405#14519708C2311yescharacteristic
406#14519708C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519706C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437C22⋊#92418C2311yescharacteristic
438C22⋊#92418C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519689C2311yescharacteristic
443#14519687C2311yescharacteristic
444#14519687C2311yescharacteristic
445C8×Dic61C2311yescharacteristic
446C8×Dic61C2311yescharacteristic
447C2×#41×C61C2311yescharacteristic
448C22×D4×C61—21no—
449C22×D4×C61C2311yescharacteristic
450C23×C4×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×SD16×C61C2311yescharacteristic
453C2×D8×C61C2311yescharacteristic
454C2×D8×C61C2311yescharacteristic
455C2×M16×C61C2311yescharacteristic
456C2×M16×C61C2311yescharacteristic
457#123×C61—21no—
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460#121×C61—21no—
461#121×C61—21no—
462#121×C61C2311yescharacteristic
463#121×C61C2311yescharacteristic
464#121×C61C2311yescharacteristic
465#121×C61C2311yescharacteristic
466#121×C61C2311yescharacteristic
467#121×C61C2311yescharacteristic
468#120×C61—21no—
469C4×D4×C61—21no—
470C4×D4×C61—21no—
471#117×C61C2311yescharacteristic
472C2×C4⋊C4×C61C2311yescharacteristic
473C2×C22⋊C4×C61—21no—
474#107×C61C2311yescharacteristic
475#107×C61C2311yescharacteristic
476#106×C61C2311yescharacteristic
477#106×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486C22⋊C8×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic
489C22⋊C8×C61C2311yescharacteristic
490C24×C61—21no—
491C24×C61C2×D411yescharacteristic
492C23×D61—21no—
493C23×D61—21no—
494C23×D61—21no—
495C23×D61—21no—
496#41×C61—41no—
497#41×C61—41no—
498C2×Q8×C61C2411yescharacteristic
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—41no—
508C2×D4×C61—41no—
509C2×D4×C61—82no—
510C2×D4×C61C2411yescharacteristic
511C2×D4×C61C2411yescharacteristic
512C2×D4×C61C2411yescharacteristic
513C22×C4×C61—21no—
514C22×C4×C61—21no—
515C22×C4×C61—41no—
516C22×C4×C61—41no—
517C22×C4×C61C2×D411yescharacteristic
518C22×C4×C61C2×D411yescharacteristic
519C22×C4×C61C2×D411yescharacteristic
520C22×C4×C61C2411yescharacteristic
521C22×C4×C61C2411yescharacteristic
522C22×C4×C61C2411yescharacteristic
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—21no—
528C2×C22⋊D61—21no—
529C2×C22⋊D61—21no—
530C2×C22⋊D61—21no—
531C2×C22⋊D61—21no—
532C2×C22⋊D61—21no—
533C2×C22⋊D61—21no—
534C2×C22⋊D61—21no—
535C2×C22⋊D61—21no—
536C2×C22⋊D61—21no—
537C2×C22⋊D61—21no—
538C2×C22⋊D61—21no—
539C2×C22⋊D61—21no—
540C2×C22⋊D61—44no—
541C2×C22⋊D61—44no—
542C2×C22⋊D61—44no—
543C2×C22⋊D61C2×D411yescharacteristic
544C2×C22⋊D61C2×D411yescharacteristic
545C2×C22⋊D61C2×D411yescharacteristic
546C2×C22⋊D61C2×D411yescharacteristic
547C2×C22⋊D61C2×D411yescharacteristic
548C2×C22⋊D61C2×D411yescharacteristic
549C22×Dic61—21no—
550C22×Dic61—21no—
551C22×Dic61—21no—
552C22×Dic61—21no—
553Q8×D61—41no—
554Q8×D61—41no—
555#11758224—22no—
556#11758224—22no—
557#11758224—41no—
558#11758224—41no—
559#11758224—44no—
560D4×D61—22no—
561D4×D61—22no—
562D4×D61—41no—
563D4×D61—41no—
564D4×D61—41no—
565D4×D61—41no—
566D4×D61—44no—
567D4×D61—82no—
568D4×D61—82no—
569#11758222—22no—
570#11758222—22no—
571#11758222—22no—
572#11758222—22no—
573#11758222—41no—
574#11758222—41no—
575#11758222—41no—
576#11758222—41no—
577#11758222—41no—
578#11758222—41no—
579#11758222—41no—
580#11758222—41no—
581#11758222—44no—
582#11758222—44no—
583C2×D244—22no—
584C2×D244—21no—
585C2×D244—21no—
586C2×D244—21no—
587C2×D244—21no—
588C2×D244—41no—
589C2×D244C2×D411yescharacteristic
590C2×D244C2411yescharacteristic
591C2×D244C2411yescharacteristic
592C2×D244C2411yescharacteristic
593C2×C4×D61—21no—
594C2×C4×D61—21no—
595C2×C4×D61—21no—
596C2×C4×D61—21no—
597C2×C4×D61—21no—
598C2×C4×D61—21no—
599C2×C4×D61—21no—
600C2×C4×D61—21no—
601C2×C4×D61—21no—
602C2×C4×D61—44no—
603C2×C4×D61C2411yescharacteristic
604C2×C4×D61C2411yescharacteristic
605C2×Dic122—22no—
606C2×Dic122—21no—
607C2×Dic122—21no—
608C2×Dic122—21no—
609C2×Dic122—21no—
610C2×Dic122—41no—
611C2×Dic122C2×D411yescharacteristic
612C2×Dic122C2411yescharacteristic
613C2×Dic122C2411yescharacteristic
614C2×Dic122C2411yescharacteristic
615SD16×C61—41no—
616SD16×C61—41no—
617D8×C61—41no—
618D8×C61—41no—
619M16×C61—41no—
620M16×C61—41no—
621C2×C8×C61C2411yescharacteristic
622C2×C8×C61C2411yescharacteristic
623C2×C8×C61C2411yescharacteristic
624C2×C8×C61C2411yescharacteristic
625C4⋊C4×C61—21no—
626C4⋊C4×C61—21no—
627C4⋊C4×C61—21no—
628C4⋊C4×C61C2411yescharacteristic
629C4⋊C4×C61C2411yescharacteristic
630C4⋊C4×C61C2411yescharacteristic
631C4⋊C4×C61C2411yescharacteristic
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61—21no—
638C22⋊C4×C61—21no—
639C22⋊C4×C61—21no—
640C22⋊C4×C61—21no—
641C42×C61—21no—
642C22⋊Dic61—21no—
643C22⋊Dic61—21no—
644C22⋊Dic61—21no—
645C22⋊Dic61—21no—
646C22⋊Dic61—21no—
647C22⋊Dic61—21no—
648C22⋊Dic61—21no—
649C22⋊Dic61—21no—
650C22⋊Dic61—21no—
651C22⋊Dic61—21no—
652C22⋊Dic61—21no—
653C22⋊Dic61C2×D411yescharacteristic
654C22⋊Dic61C2×D411yescharacteristic
655C22⋊Dic61C2×D411yescharacteristic
656C22⋊Dic61C2×D411yescharacteristic
657C22⋊Dic61C2×D411yescharacteristic
658C22⋊Dic61C2×D411yescharacteristic
659#11758202—22no—
660#11758202—41no—
661#11758201—22no—
662#11758201—41no—
663#11758200—22no—
664#11758200—41no—
665#11758200—41no—
666#11758200—41no—
667#11758199—22no—
668#11758199—41no—
669#11758199—41no—
670#11758199—41no—
671#11758198—21no—
672#11758198—21no—
673#11758198—21no—
674#11758198—21no—
675#11758198—21no—
676#11758198—21no—
677#11758198—21no—
678#11758198—21no—
679#11758198—21no—
680#11758198—21no—
681#11758198—21no—
682#11758198—21no—
683#11758198—21no—
684#11758198—21no—
685#11758198—21no—
686#11758198—21no—
687#11758198C2×D411yescharacteristic
688#11758198C2×D411yescharacteristic
689#11758198C2×D411yescharacteristic
690#11758198C2×D411yescharacteristic
691C4⋊Dic61—21no—
692C4⋊Dic61—21no—
693C4⋊Dic61—21no—
694C4⋊Dic61—21no—
695C4⋊Dic61C2×D411yescharacteristic
696C4⋊Dic61C2×D411yescharacteristic
697C4⋊Dic61C2411yescharacteristic
698C4⋊Dic61C2411yescharacteristic
699#11758196—21no—
700#11758196—21no—
701#11758196—21no—
702#11758196—21no—
703#11758196—21no—
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196C2×D411yescharacteristic
708#11758196C2×D411yescharacteristic
709#11758196C2×D411yescharacteristic
710#11758196C2×D411yescharacteristic
711C4×Dic61—21no—
712C4×Dic61—21no—
713C4×Dic61—21no—
714C4×Dic61—21no—
715C4×Dic61—21no—
716C4×Dic61—21no—
717C4×Dic61—21no—
718C4×Dic61C2411yescharacteristic
719C4×Dic61C2411yescharacteristic
720C2×#92418—41no—
721C2×#92418—41no—
722C2×#92418C2411yescharacteristic
723C2×#92418C2411yescharacteristic
724C2×#92418C2411yescharacteristic
725C2×#92418C2411yescharacteristic
726Dic244—22no—
727Dic244—41no—
728D488—22no—
729D488—41no—
730#11758190—22no—
731#11758190—22no—
732#11758190—41no—
733#11758190—41no—
734#11758189—41no—
735#11758189—41no—
736C8×D61—41no—
737C8×D61—41no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61—21no—
741C23×C61—41no—
742C23×C61—41no—
743C23×C61—41no—
744C23×C61—42no—
745C23×C61—81no—
746C23×C61—81no—
747C23×C61C22×D411yescharacteristic
748C23×C61C22×D411yescharacteristic
749C23×C61C22×D411yescharacteristic
750C22×D61—21no—
751C22×D61—21no—
752C22×D61—21no—
753C22×D61—42no—
754C22×D61—42no—
755C22×D61—42no—
756C22×D61—42no—
757C22×D61—81no—
758C22×D61—81no—
759C22×D61—81no—
760C22×D61—81no—
761C22×D61—81no—
762C22×D61—81no—
763C22×D61—81no—
764C22×D61—81no—
765C22×D61C22×D411yescharacteristic
766C22×D61C22×D411yescharacteristic
767Q8×C61—21no—
768Q8×C61—21no—
769D4×C61—21no—
770D4×C61—21no—
771D4×C61—21no—
772D4×C61—21no—
773D4×C61—21no—
774D4×C61—21no—
775D4×C61—42no—
776D4×C61—42no—
777D4×C61—42no—
778D4×C61—81no—
779D4×C61—81no—
780D4×C61—81no—
781D4×C61—81no—
782D4×C61—81no—
783C2×C4×C61—21no—
784C2×C4×C61—21no—
785C2×C4×C61—21no—
786C2×C4×C61—21no—
787C2×C4×C61—21no—
788C2×C4×C61—21no—
789C2×C4×C61—21no—
790C2×C4×C61—21no—
791C2×C4×C61—21no—
792C2×C4×C61—21no—
793C2×C4×C61—21no—
794C2×C4×C61—41no—
795C2×C4×C61—41no—
796C2×C4×C61—41no—
797C2×C4×C61—81no—
798C2×C4×C61—81no—
799C2×C4×C61C22×D411yescharacteristic
800C2×C4×C61C22×D411yescharacteristic
801C2×C4×C61C22×D411yescharacteristic
802C2×C4×C61C2511yescharacteristic
803C22⋊D61—24no—
804C22⋊D61—41no—
805C22⋊D61—41no—
806C22⋊D61—41no—
807C22⋊D61—41no—
808C22⋊D61—41no—
809C22⋊D61—41no—
810C22⋊D61—42no—
811C22⋊D61—42no—
812C22⋊D61—42no—
813C22⋊D61—42no—
814C22⋊D61—42no—
815C22⋊D61—42no—
816C22⋊D61—42no—
817C22⋊D61—81no—
818C22⋊D61—81no—
819C22⋊D61—81no—
820C22⋊D61—81no—
821C22⋊D61—81no—
822C22⋊D61—81no—
823C22⋊D61—81no—
824C22⋊D61—81no—
825C22⋊D61—81no—
826C2×Dic61—21no—
827C2×Dic61—21no—
828C2×Dic61—21no—
829C2×Dic61—21no—
830C2×Dic61—21no—
831C2×Dic61—42no—
832C2×Dic61—42no—
833C2×Dic61—42no—
834C2×Dic61—81no—
835C2×Dic61C22×D411yescharacteristic
836C2×Dic61C22×D411yescharacteristic
837C2×Dic61C22×D411yescharacteristic
838C2×Dic61C22×D411yescharacteristic
839C2×Dic61C22×D411yescharacteristic
840C2×Dic61C22×D411yescharacteristic
841D244—21no—
842D244—21no—
843D244—21no—
844D244—21no—
845D244—21no—
846D244—41no—
847D244—42no—
848D244—81no—
849D244—81no—
850D244—81no—
851D244H(5,𝔽2)12yes—
852C4×D61—24no—
853C4×D61—21no—
854C4×D61—21no—
855C4×D61—21no—
856C4×D61—21no—
857C4×D61—42no—
858C4×D61—42no—
859C4×D61—42no—
860C4×D61—81no—
861C4×D61—81no—
862C4×D61—81no—
863C4×D61—81no—
864C4×D61—81no—
865Dic122—21no—
866Dic122—21no—
867Dic122—21no—
868Dic122—21no—
869Dic122—21no—
870Dic122—41no—
871Dic122—42no—
872Dic122—81no—
873Dic122—81no—
874Dic122—81no—
875Dic122H(5,𝔽2)12yes—
876C8×C61—21no—
877C8×C61—21no—
878C8×C61—21no—
879C8×C61—21no—
880#92418—21no—
881#92418—21no—
882#92418—21no—
883#92418—21no—
884#61625—611nomaximal, Sylow
885C22×C61—21no—
886C22×C61—21no—
887C22×C61—21no—
888C22×C61—21no—
889C22×C61—21no—
890C22×C61—21no—
891C22×C61—21no—
892C22×C61—21no—
893C22×C61—21no—
894C22×C61—41no—
895C22×C61—41no—
896C22×C61—41no—
897C22×C61—41no—
898C22×C61—41no—
899C22×C61—41no—
900C22×C61—41no—
901C22×C61—41no—
902C22×C61—41no—
903C22×C61—82no—
904C22×C61—162no—
905C22×C61C23×D411yescharacteristic
906C2×D61—21no—
907C2×D61—21no—
908C2×D61—21no—
909C2×D61—21no—
910C2×D61—22no—
911C2×D61—21no—
912C2×D61—21no—
913C2×D61—41no—
914C2×D61—41no—
915C2×D61—41no—
916C2×D61—41no—
917C2×D61—41no—
918C2×D61—41no—
919C2×D61—41no—
920C2×D61—41no—
921C2×D61—84no—
922C2×D61—162no—
923C2×D61—162no—
924C2×D61—162no—
925C4×C61—21no—
926C4×C61—21no—
927C4×C61—21no—
928C4×C61—41no—
929C4×C61—41no—
930C4×C61—41no—
931C4×C61—41no—
932C4×C61—41no—
933C4×C61C2×H(5,𝔽2)11yescharacteristic
934C4×C61C2×H(5,𝔽2)11yescharacteristic
935Dic61—21no—
936Dic61—21no—
937Dic61—21no—
938Dic61—21no—
939Dic61—22no—
940Dic61—21no—
941Dic61—21no—
942Dic61—41no—
943Dic61—41no—
944Dic61—41no—
945Dic61—41no—
946#3540—611no—
947#3488—611no—
948#3325—611no—
949#3324—611no—
950#3321—611no—
951#3319—611no—
952#3313—611no—
953#3311—611no—
954#3305—611no—
955#3304—611no—
956#3282—611no—
957#3280—611no—
958#3277—611no—
959#3275—611no—
960#3271—611no—
961#3268—611no—
962#3265—611no—
963#3264—611no—
964#3224—611no—
965#3224—611no—
966#3201—611no—
967#3198—611no—
968#3194D6111yescharacteristic, complemented
969#3188—611no—
970#3125—611no—
971#3124—611no—
972#3009—611no—
973#3008—611no—
974#3005—611no—
975#3002—611no—
976#2976—611no—
977C2×C61—41no—
978C2×C61—41no—
979C2×C61—41no—
980C2×C61—81no—
981C2×C61—81no—
982C2×C61—81no—
983C2×C61#348411yescharacteristic
984C2×C61#358411yescharacteristic
985C2×C61#358511yescharacteristic
986D61—41no—
987D61—41no—
988D61—42no—
989D61—81no—
990D61—81no—
991C2×H(5,𝔽2)—611no—
992C22×#41—611no—
993C2×#137—611no—
994C2×#137—611no—
995C2×AGL(1,ℤ/8)—611no—
996C2×AGL(1,ℤ/8)—611no—
997C2×#135—611no—
998C2×#135—611no—
999C22×SD16—611no—
1000C22×D8—611no—
1001H(3,𝔽4)—1221no—
1002#560—1221no—
1003#559—1221no—
1004#556—611no—
1005#556—611no—
1006#555—611no—
1007#555—611no—
1008#551—1221no—
1009#550—611no—
1010#550—611no—
1011#548—611no—
1012#548—611no—
1013#548—611no—
1014#548—611no—
1015#546—611no—
1016#546—611no—
1017#546—611no—
1018#546—611no—
1019#546—1221no—
1020#546—1221no—
1021D42—611no—
1022D42—611no—
1023D42—1221no—
1024D42—1221no—
1025#542—611no—
1026#542—611no—
1027#542—1221no—
1028#542—1221no—
1029#538—1221no—
1030#538—1221no—
1031#537—611no—
1032#537—1221no—
1033#536—611no—
1034#535—611no—
1035#535—611no—
1036#535—1221no—
1037#525—611no—
1038#525—611no—
1039#525—1221no—
1040#525C2×D6111yescharacteristic, complemented
1041C2×#121—1221no—
1042C2×#121C2×D6111yescharacteristic, complemented
1043#520—611no—
1044#496—611no—
1045#496—611no—
1046#495—611no—
1047#495—611no—
1048#489—611no—
1049#489—611no—
1050#486—611no—
1051#486—611no—
1052#485—611no—
1053#485—611no—
1054#484—611no—
1055#483C2×D6111yescharacteristic, complemented
1056#482—611no—
1057#482—611no—
1058#482—611no—
1059#482—611no—
1060#482C2×D6111yescharacteristic, complemented
1061#482C2×D6111yescharacteristic, complemented
1062#481—611no—
1063#480C2×D6111yescharacteristic, complemented
1064#477—611no—
1065#476—611no—
1066#475—611no—
1067#474—611no—
1068#470—611no—
1069#469—611no—
1070#469C2×D6111yescharacteristic, complemented
1071#469C2×D6111yescharacteristic, complemented
1072#468—611no—
1073#468—611no—
1074#468C2×D6111yescharacteristic, complemented
1075#468C2×D6111yescharacteristic, complemented
1076#467—611no—
1077#466—611no—
1078#466—611no—
1079#466—611no—
1080#465—611no—
1081#465—611no—
1082#465—611no—
1083#465—611no—
1084#464—611no—
1085#464—611no—
1086#464—611no—
1087#464—611no—
1088#463—611no—
1089#463—611no—
1090#463—611no—
1091#463—611no—
1092#460—611no—
1093#460—611no—
1094#459—611no—
1095#459—611no—
1096#452—611no—
1097#452—611no—
1098#452—611no—
1099#452—611no—
1100#452—611no—
1101#452—611no—
1102#452—611no—
1103#452—611no—
1104#451—611no—
1105#451—611no—
1106#450—611no—
1107#450—611no—
1108#450—611no—
1109#450—611no—
1110#450—611no—
1111#450C2×D6111yescharacteristic, complemented
1112#449—611no—
1113#449—611no—
1114#449—611no—
1115#449—611no—
1116#449—611no—
1117#449—611no—
1118#449—611no—
1119#449—611no—
1120#449—611no—
1121#449—611no—
1122#449C2×D6111yescharacteristic, complemented
1123#449C2×D6111yescharacteristic, complemented
1124#448—611no—
1125#448—611no—
1126#447—611no—
1127#447—611no—
1128#447—611no—
1129#447—611no—
1130#447—611no—
1131#447C2×D6111yescharacteristic, complemented
1132#442—611no—
1133#441—611no—
1134#440—611no—
1135#440—611no—
1136C4×Q16—611no—
1137C4×SD16—611no—
1138C4×SD16—611no—
1139C4×D8—611no—
1140#436—611no—
1141#436—611no—
1142#435—611no—
1143#435—611no—
1144#435—611no—
1145#435—611no—
1146C8×D4—611no—
1147C8×D4—611no—
1148#433—611no—
1149#433—611no—
1150#419—611no—
1151#418—611no—
1152#418—611no—
1153#418—611no—
1154#416—611no—
1155#416—611no—
1156#416—611no—
1157#416—611no—
1158#408—611no—
1159#408—611no—
1160#407C2×D6111yescharacteristic, complemented
1161C2×C22⋊C8—611no—
1162C61#6162511yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—2442no—
1164H(5,𝔽2)—2442no—
1165C2×#41—611no—
1166C2×#41—611no—
1167C2×#41—611no—
1168C2×#41—611no—
1169C2×#41—611no—
1170C2×#41—611no—
1171C2×#41—611no—
1172C2×#41—611no—
1173C2×#41—1221no—
1174C2×#41—1221no—
1175C2×#41—1221no—
1176C2×#41—2442no—
1177C2×#41—2442no—
1178C2×#41C22×D6111yescharacteristic
1179C22×Q8—611no—
1180C22×Q8—611no—
1181C22×D4—21no—
1182C22×D4—611no—
1183C22×D4—611no—
1184C22×D4—611no—
1185C22×D4—611no—
1186C22×D4—1221no—
1187C22×D4—1221no—
1188C22×D4—1221no—
1189C22×D4—1221no—
1190C22×D4—1221no—
1191C22×D4—1221no—
1192C22×D4C22×D6111yescharacteristic
1193C23×C4—1221no—
1194C23×C4C22×D6111yescharacteristic
1195#137—2442no—
1196#137—2442no—
1197AGL(1,ℤ/8)—2442no—
1198AGL(1,ℤ/8)—2442no—
1199#135—2442no—
1200#135—2442no—
1201C2×Q16—611no—
1202C2×Q16—611no—
1203C2×Q16—611no—
1204C2×Q16—611no—
1205C2×SD16—611no—
1206C2×SD16—611no—
1207C2×SD16—611no—
1208C2×SD16—611no—
1209C2×SD16—611no—
1210C2×SD16—611no—
1211C2×SD16—611no—
1212C2×SD16—611no—
1213C2×SD16—611no—
1214C2×SD16—611no—
1215C2×SD16—2442no—
1216C2×SD16C22×D6111yescharacteristic
1217C2×SD16C22×D6111yescharacteristic
1218C2×D8—611no—
1219C2×D8—611no—
1220C2×D8—611no—
1221C2×D8—611no—
1222C2×D8—611no—
1223C2×D8—611no—
1224C2×D8—2442no—
1225C2×D8C22×D6111yescharacteristic
1226C2×D8C22×D6111yescharacteristic
1227C2×M16—611no—
1228C2×M16—611no—
1229C2×M16C22×D6111yescharacteristic
1230C2×M16C22×D6111yescharacteristic
1231C22×C8—611no—
1232C22×C8—611no—
1233C22×C8—611no—
1234C22×C8—611no—
1235C4⋊Q8—611no—
1236C4⋊Q8—611no—
1237C4⋊Q8—1221no—
1238#127—611no—
1239#127—611no—
1240#127—1221no—
1241#127—1221no—
1242#127—1221no—
1243#126—1221no—
1244#126—1221no—
1245#126—1221no—
1246#126—1221no—
1247#126—1221no—
1248#126—1221no—
1249#124—611no—
1250#124—611no—
1251#124—611no—
1252#124—611no—
1253#124—1221no—
1254#124—1221no—
1255#124—1221no—
1256#124—1221no—
1257#124—1221no—
1258#124—1221no—
1259#124—1221no—
1260#124—1221no—
1261#124—1221no—
1262#124—1221no—
1263#124—1221no—
1264#124—1221no—
1265#124—1221no—
1266#124—1221no—
1267#123—21no—
1268#123—611no—
1269#123—611no—
1270#123—1221no—
1271#123—1221no—
1272#123—1221no—
1273#123—1221no—
1274#123—1221no—
1275#123—1221no—
1276#123—1221no—
1277#123—1221no—
1278#123—1221no—
1279C22⋊Q8—611no—
1280C22⋊Q8—611no—
1281C22⋊Q8—611no—
1282C22⋊Q8—611no—
1283C22⋊Q8—611no—
1284C22⋊Q8—611no—
1285C22⋊Q8—611no—
1286C22⋊Q8—611no—
1287C22⋊Q8—1221no—
1288C22⋊Q8—1221no—
1289C22⋊Q8—1221no—
1290C22⋊Q8—1221no—
1291C22⋊Q8—1221no—
1292C22⋊Q8—1221no—
1293C22⋊Q8—1221no—
1294C22⋊Q8C22×D6111yescharacteristic
1295C22⋊Q8C22×D6111yescharacteristic
1296#121—21no—
1297#121—21no—
1298#121—611no—
1299#121—611no—
1300#121—611no—
1301#121—611no—
1302#121—611no—
1303#121—611no—
1304#121—611no—
1305#121—611no—
1306#121—1221no—
1307#121—1221no—
1308#121—1221no—
1309#121—1221no—
1310#121—1221no—
1311#121—1221no—
1312#121—1221no—
1313#121—1221no—
1314#121—1221no—
1315#121—1221no—
1316#121—1221no—
1317#121—1221no—
1318#121—1221no—
1319#121—1221no—
1320#121—1221no—
1321#121—1221no—
1322#121—1221no—
1323#121—1221no—
1324#121—1221no—
1325#121—1221no—
1326#121—1221no—
1327#121C22×D6111yescharacteristic
1328#121C22×D6111yescharacteristic
1329#121C22×D6111yescharacteristic
1330#121C22×D6111yescharacteristic
1331#121C22×D6111yescharacteristic
1332#121C22×D6111yescharacteristic
1333#120—21no—
1334#120—611no—
1335#120—611no—
1336#120—1221no—
1337#120—1221no—
1338#120—1221no—
1339#120—1221no—
1340#120—1221no—
1341#120—1221no—
1342#120—1221no—
1343#120—1221no—
1344#120—1221no—
1345#120—1221no—
1346#120—1221no—
1347#120—1221no—
1348#120—1221no—
1349C4×Q8—611no—
1350C4×Q8—611no—
1351C4×Q8—611no—
1352C4×Q8—611no—
1353C4×Q8—1221no—
1354C4×Q8—1221no—
1355C4×D4—21no—
1356C4×D4—21no—
1357C4×D4—611no—
1358C4×D4—611no—
1359C4×D4—611no—
1360C4×D4—611no—
1361C4×D4—611no—
1362C4×D4—611no—
1363C4×D4—611no—
1364C4×D4—611no—
1365C4×D4—1221no—
1366C4×D4—1221no—
1367C4×D4—1221no—
1368C4×D4—1221no—
1369C4×D4—1221no—
1370C4×D4—1221no—
1371C4×D4—1221no—
1372C4×D4—1221no—
1373C4×D4—1221no—
1374C4×D4—1221no—
1375#117—611no—
1376#117—611no—
1377#117—611no—
1378#117—611no—
1379#117—1221no—
1380#117—1221no—
1381#117—1221no—
1382#117C22×D6111yescharacteristic
1383C2×C4⋊C4—1221no—
1384C2×C4⋊C4C22×D6111yescharacteristic
1385C2×C22⋊C4—21no—
1386C2×C22⋊C4—1221no—
1387C2×C22⋊C4—1221no—
1388C2×C22⋊C4—1221no—
1389C2×C22⋊C4—1221no—
1390#107—611no—
1391#107—611no—
1392#107C22×D6111yescharacteristic
1393#107C22×D6111yescharacteristic
1394#106—611no—
1395#106—611no—
1396#106C22×D6111yescharacteristic
1397#106C22×D6111yescharacteristic
1398C4⋊C8—611no—
1399C4⋊C8—611no—
1400C4⋊C8—611no—
1401C4⋊C8—611no—
1402#103—611no—
1403#103—611no—
1404#103—611no—
1405#103—611no—
1406#103—611no—
1407#103—611no—
1408#103—611no—
1409#103—611no—
1410#103—611no—
1411#103—611no—
1412#103C22×D6111yescharacteristic
1413#103C22×D6111yescharacteristic
1414#102—611no—
1415#102—611no—
1416#102—611no—
1417#102—611no—
1418#102—611no—
1419#102—611no—
1420#102—611no—
1421#102—611no—
1422#102—611no—
1423#102—611no—
1424#102—611no—
1425#102—611no—
1426#102—611no—
1427#102—611no—
1428#102C22×D6111yescharacteristic
1429#102C22×D6111yescharacteristic
1430#102C22×D6111yescharacteristic
1431#102C22×D6111yescharacteristic
1432#102C22×D6111yescharacteristic
1433#102C22×D6111yescharacteristic
1434C22⋊C8—611no—
1435C22⋊C8—611no—
1436C22⋊C8—611no—
1437C22⋊C8—611no—
1438C22⋊C8—611no—
1439C22⋊C8—611no—
1440C22⋊C8—611no—
1441C22⋊C8—611no—
1442C22⋊C8C22×D6111yescharacteristic
1443C22⋊C8C22×D6111yescharacteristic
1444C22⋊C8C22×D6111yescharacteristic
1445C22⋊C8C22×D6111yescharacteristic
1446#97—611no—
1447#97—611no—
1448C4×C8—611no—
1449C4×C8—611no—
1450C24—21no—
1451C24—1221no—
1452C24—1221no—
1453C24—1221no—
1454C24—1221no—
1455C24D4×D6111yescharacteristic
1456#41—41no—
1457#41—41no—
1458#41—1222no—
1459#41—1222no—
1460#41—1222no—
1461#41—1222no—
1462#41—1222no—
1463#41—1222no—
1464#41—2441no—
1465#41—2441no—
1466#41—2441no—
1467#41—2441no—
1468#41—2441no—
1469#41—2441no—
1470#41—2441no—
1471#41—2441no—
1472#41—2444no—
1473#41—2444no—
1474#41—2441no—
1475#41—2441no—
1476#41—2444no—
1477C2×Q8—611no—
1478C2×Q8—611no—
1479C2×Q8—611no—
1480C2×Q8—611no—
1481C2×Q8—1221no—
1482C2×Q8—1221no—
1483C2×Q8—1221no—
1484C2×Q8—1222no—
1485C2×Q8—1221no—
1486C2×Q8—2441no—
1487C2×Q8—2441no—
1488C2×Q8—2441no—
1489C2×Q8C23×D6111yescharacteristic
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—41no—
1499C2×D4—41no—
1500C2×D4—82no—
1501C2×D4—611no—
1502C2×D4—611no—
1503C2×D4—611no—
1504C2×D4—611no—
1505C2×D4—611no—
1506C2×D4—611no—
1507C2×D4—611no—
1508C2×D4—611no—
1509C2×D4—611no—
1510C2×D4—611no—
1511C2×D4—1222no—
1512C2×D4—1221no—
1513C2×D4—1221no—
1514C2×D4—1221no—
1515C2×D4—1221no—
1516C2×D4—1221no—
1517C2×D4—1221no—
1518C2×D4—1221no—
1519C2×D4—1221no—
1520C2×D4—1221no—
1521C2×D4—1221no—
1522C2×D4—1222no—
1523C2×D4—1222no—
1524C2×D4—1221no—
1525C2×D4—1221no—
1526C2×D4—1221no—
1527C2×D4—1221no—
1528C2×D4—1221no—
1529C2×D4—1221no—
1530C2×D4—1221no—
1531C2×D4—1221no—
1532C2×D4—1221no—
1533C2×D4—1221no—
1534C2×D4—1221no—
1535C2×D4—4882no—
1536C2×D4—4882no—
1537C2×D4—2441no—
1538C2×D4—2441no—
1539C2×D4—2441no—
1540C2×D4—2441no—
1541C2×D4—2441no—
1542C2×D4—2444no—
1543C2×D4—2444no—
1544C2×D4—2444no—
1545C2×D4—2444no—
1546C2×D4C23×D6111yescharacteristic
1547C2×D4C23×D6111yescharacteristic
1548C2×D4C23×D6111yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—41no—
1552C22×C4—41no—
1553C22×C4—611no—
1554C22×C4—611no—
1555C22×C4—1221no—
1556C22×C4—1221no—
1557C22×C4—1221no—
1558C22×C4—1221no—
1559C22×C4—1221no—
1560C22×C4—1221no—
1561C22×C4—1221no—
1562C22×C4—1221no—
1563C22×C4—1221no—
1564C22×C4—1221no—
1565C22×C4—1221no—
1566C22×C4—1221no—
1567C22×C4—1221no—
1568C22×C4—2444no—
1569C22×C4D4×D6111yescharacteristic
1570C22×C4D4×D6111yescharacteristic
1571C22×C4D4×D6111yescharacteristic
1572C22×C4C23×D6111yescharacteristic
1573C22×C4C23×D6111yescharacteristic
1574C22×C4C23×D6111yescharacteristic
1575Q16—1222no—
1576Q16—1222no—
1577Q16—2441no—
1578Q16—2441no—
1579SD16—41no—
1580SD16—41no—
1581SD16—1222no—
1582SD16—1222no—
1583SD16—1222no—
1584SD16—1222no—
1585SD16—2441no—
1586SD16—2441no—
1587SD16—2441no—
1588SD16—2441no—
1589SD16—2441no—
1590SD16—2441no—
1591D8—41no—
1592D8—41no—
1593D8—1222no—
1594D8—1222no—
1595D8—2441no—
1596D8—2441no—
1597D8—2441no—
1598D8—2441no—
1599M16—41no—
1600M16—41no—
1601M16—2441no—
1602M16—2441no—
1603C2×C8—611no—
1604C2×C8—611no—
1605C2×C8—611no—
1606C2×C8—611no—
1607C2×C8—2441no—
1608C2×C8—2441no—
1609C2×C8—2441no—
1610C2×C8—2441no—
1611C2×C8C23×D6111yescharacteristic
1612C2×C8C23×D6111yescharacteristic
1613C2×C8C23×D6111yescharacteristic
1614C2×C8C23×D6111yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—611no—
1619C4⋊C4—611no—
1620C4⋊C4—611no—
1621C4⋊C4—611no—
1622C4⋊C4—611no—
1623C4⋊C4—611no—
1624C4⋊C4—611no—
1625C4⋊C4—611no—
1626C4⋊C4—1221no—
1627C4⋊C4—1221no—
1628C4⋊C4—1221no—
1629C4⋊C4—1221no—
1630C4⋊C4—1221no—
1631C4⋊C4—1221no—
1632C4⋊C4—1221no—
1633C4⋊C4—1221no—
1634C4⋊C4—1221no—
1635C4⋊C4—1221no—
1636C4⋊C4—1221no—
1637C4⋊C4—1221no—
1638C4⋊C4C23×D6111yescharacteristic
1639C4⋊C4C23×D6111yescharacteristic
1640C4⋊C4C23×D6111yescharacteristic
1641C4⋊C4C23×D6111yescharacteristic
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—611no—
1652C22⋊C4—611no—
1653C22⋊C4—611no—
1654C22⋊C4—611no—
1655C22⋊C4—611no—
1656C22⋊C4—611no—
1657C22⋊C4—611no—
1658C22⋊C4—611no—
1659C22⋊C4—611no—
1660C22⋊C4—611no—
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⋊C4—1221no—
1671C22⋊C4—1221no—
1672C22⋊C4—1221no—
1673C22⋊C4—1221no—
1674C22⋊C4—1221no—
1675C22⋊C4—1221no—
1676C22⋊C4—1221no—
1677C22⋊C4—1221no—
1678C22⋊C4—1221no—
1679C22⋊C4—1221no—
1680C22⋊C4—1221no—
1681C22⋊C4—1221no—
1682C22⋊C4—1221no—
1683C22⋊C4—1221no—
1684C22⋊C4—1221no—
1685C22⋊C4—1221no—
1686C22⋊C4—1221no—
1687C22⋊C4—1221no—
1688C42—21no—
1689C42—611no—
1690C42—611no—
1691C42—1221no—
1692C42—1221no—
1693C42—1221no—
1694C42—1221no—
1695C42—1221no—
1696C42—1221no—
1697C42—1221no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—41no—
1702C23—41no—
1703C23—41no—
1704C23—42no—
1705C23—81no—
1706C23—81no—
1707C23—611no—
1708C23—611no—
1709C23—1221no—
1710C23—1221no—
1711C23—1221no—
1712C23—4881no—
1713C23—4881no—
1714C23—4881no—
1715C23—4881no—
1716C23—4881no—
1717C23—4881no—
1718C23—4881no—
1719C23—4881no—
1720C23—2442no—
1721C23—2442no—
1722C23—2442no—
1723C23—2442no—
1724C23C2×D4×D6111yescharacteristic
1725C23C2×D4×D6111yescharacteristic
1726C23C2×D4×D6111yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—612no—
1730Q8—1221no—
1731Q8—1221no—
1732Q8—1221no—
1733Q8—1221no—
1734Q8—1221no—
1735Q8—4881no—
1736Q8—4881no—
1737Q8—4881no—
1738Q8—2441no—
1739Q8—2442no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—81no—
1750D4—81no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754D4—612no—
1755D4—1224no—
1756D4—1221no—
1757D4—1221no—
1758D4—1221no—
1759D4—1221no—
1760D4—1221no—
1761D4—4881no—
1762D4—4881no—
1763D4—4881no—
1764D4—4881no—
1765D4—4881no—
1766D4—4881no—
1767D4—4881no—
1768D4—4881no—
1769D4—4881no—
1770D4—4881no—
1771D4—4881no—
1772D4—4881no—
1773D4—2441no—
1774D4—2442no—
1775D4—2441no—
1776D4—2441no—
1777D4—2441no—
1778D4—2441no—
1779D4—2441no—
1780D4—2441no—
1781D4—2442no—
1782D4—2442no—
1783D4—2442no—
1784D4—2442no—
1785D4—2442no—
1786D4—2442no—
1787D4—2442no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—41no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—81no—
1803C2×C4—81no—
1804C2×C4—611no—
1805C2×C4—611no—
1806C2×C4—611no—
1807C2×C4—611no—
1808C2×C4—611no—
1809C2×C4—611no—
1810C2×C4—1224no—
1811C2×C4—1221no—
1812C2×C4—1221no—
1813C2×C4—1221no—
1814C2×C4—1221no—
1815C2×C4—1221no—
1816C2×C4—1221no—
1817C2×C4—1221no—
1818C2×C4—1221no—
1819C2×C4—1221no—
1820C2×C4—4881no—
1821C2×C4—4881no—
1822C2×C4—4881no—
1823C2×C4—4881no—
1824C2×C4—4881no—
1825C2×C4—4881no—
1826C2×C4—2442no—
1827C2×C4—2442no—
1828C2×C4—2442no—
1829C2×C4—2442no—
1830C2×C4—2442no—
1831C2×C4—2442no—
1832C2×C4C2×D4×D6111yescharacteristic
1833C2×C4C2×D4×D6111yescharacteristic
1834C2×C4C2×D4×D6111yescharacteristic
1835C2×C4C24×D6111yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—1221no—
1841C8—1221no—
1842C8—1221no—
1843C8—1221no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—82no—
1863C22—162no—
1864C22—1221no—
1865C22—1221no—
1866C22—1221no—
1867C22—1221no—
1868C22—1221no—
1869C22—1222no—
1870C22—1221no—
1871C22—9762no—
1872C22—9762no—
1873C22—9762no—
1874C22—4884no—
1875C22—2441no—
1876C22—2441no—
1877C22—2441no—
1878C22—2441no—
1879C22—2441no—
1880C22—2441no—
1881C22—2441no—
1882C22—2441no—
1883C22C22×D4×D6111yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—1221no—
1893C4—1221no—
1894C4—1221no—
1895C4—1221no—
1896C4—1221no—
1897C4—1221no—
1898C4—1222no—
1899C4—2441no—
1900C4—2441no—
1901C4—2441no—
1902C4—2441no—
1903C4H(5,𝔽2)×D6111yescharacteristic
1904C4H(5,𝔽2)×D6111yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—81no—
1909C2—81no—
1910C2—81no—
1911C2—4881no—
1912C2—4881no—
1913C2—2441no—
1914C2—2441no—
1915C2—2442no—
1916C2#2145945111yescharacteristic
1917C2#2146059211yescharacteristic
1918C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3194C2
socleC22×C61C23×D4
hypercenter#3194D61
hypocenterC61#61625
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3194

Complements

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

NH ≅ G/Ntype
1. #21460087C2semidirect
2. #21459484C2semidirect
3. #21458056C2semidirect
4. #21458045C2semidirect
5. #21458000C2semidirect
6. #21457973C2semidirect
7. #21457880C2semidirect
8. #21457853C2semidirect
9. #21457767C2semidirect
10. #21457756C2semidirect
11. #21457529C2semidirect
12. #21457502C2semidirect
13. #21457473C2semidirect
14. #21457457C2semidirect
15. #21457397C2semidirect
16. #21457363C2semidirect
17. #21457321C2semidirect
18. #21457306C2semidirect
19. #21456917C2semidirect
20. #21456909C2semidirect
21. #21456708C2semidirect
22. #21456678C2semidirect
23. #21456584C2semidirect
24. #21456091C2semidirect
25. #21456076C2semidirect
26. #21455091C2semidirect
27. #21455082C2semidirect
28. #21455064C2semidirect
29. #21455035C2semidirect
30. #21454869C2semidirect
31. C61×#3194C2semidirect
33. C22×#11758222C22semidirect
34. C2×#14519810C22semidirect
35. C2×#14519806C22semidirect
36. C2×#14519805C22semidirect
37. C2×#14519801C22semidirect
38. C2×#14519797C22semidirect
39. C2×#14519797C22semidirect
40. C2×SD16×D61C22semidirect
41. C2×D8×D61C22semidirect
45. #16840483C22semidirect
46. #16840480C22semidirect
47. #16840476C22semidirect
48. #16840475C22semidirect
51. #16840430C22semidirect
52. #16840422C22semidirect
53. #16840419C22semidirect
55. #16840418C22semidirect
57. #16840409C22semidirect
58. #16840409C22semidirect
61. #16840400C22semidirect
63. #16840396C22semidirect
66. #16840385C22semidirect
68. #16840379C22semidirect
74. #16840335C22semidirect
75. #16840329C22semidirect
77. #16840328C22semidirect
79. #16840273C22semidirect
82. #16840243C22semidirect
83. #16840150C22semidirect
84. #16840148C22semidirect
85. #16840145C22semidirect
86. #16840143C22semidirect
87. #16840120C22semidirect
88. #16840120C22semidirect
89. #16840107C22semidirect
90. #16840107C22semidirect
91. #16840106C22semidirect
92. #16840105C22semidirect
93. #16840097C22semidirect
94. #16840089C22semidirect
95. #16840088C22semidirect
96. #16840083C22semidirect
97. #16840083C22semidirect
98. #16840080C22semidirect
99. #16840056C22semidirect
100. #16840051C22semidirect
101. #16840046C22semidirect
102. #16840041C22semidirect
103. #16840021C22semidirect
104. #16840014C22semidirect
105. #16840011C22semidirect
106. #16840009C22semidirect
107. #16840002C22semidirect
108. #16839999C22semidirect
109. #16839996C22semidirect
110. #16839996C22semidirect
111. #16839992C22semidirect
112. #16839990C22semidirect
113. #16839989C22semidirect
114. #16839989C22semidirect
115. #16839987C22semidirect
116. #16839983C22semidirect
117. #16839983C22semidirect
118. #16839982C22semidirect
119. #16839980C22semidirect
120. #16839976C22semidirect
121. #16839976C22semidirect
122. #16839975C22semidirect
123. #16839961C22semidirect
124. #16839960C22semidirect
125. #16839956C22semidirect
126. #16839955C22semidirect
127. #16839926C22semidirect
128. #16839926C22semidirect
129. #16839926C22semidirect
130. #16839926C22semidirect
131. #16839925C22semidirect
132. #16839922C22semidirect
133. #16839922C22semidirect
134. #16839921C22semidirect
135. #16839919C22semidirect
136. #16839917C22semidirect
137. #16839914C22semidirect
138. #16839914C22semidirect
139. #16839913C22semidirect
140. #16839912C22semidirect
141. #16839911C22semidirect
143. #16839909C22semidirect
144. #16839909C22semidirect
145. #16839909C22semidirect
146. #16839908C22semidirect
148. #16839905C22semidirect
149. #16839905C22semidirect
150. #16839905C22semidirect
151. #16839904C22semidirect
152. #16839902C22semidirect
153. #16839900C22semidirect
154. #16839897C22semidirect
155. #16839897C22semidirect
156. #16839896C22semidirect
157. #16839895C22semidirect
158. #16839894C22semidirect
159. #16839873C22semidirect
160. #16839866C22semidirect
161. #16839861C22semidirect
162. #16839859C22semidirect
163. #16839856C22semidirect
164. #16839849C22semidirect
165. #16839847C22semidirect
166. #16839842C22semidirect
167. #16839838C22semidirect
168. #16839838C22semidirect
169. #16839831C22semidirect
170. #16839831C22semidirect
171. #16839830C22semidirect
172. #16839830C22semidirect
173. #16839825C22semidirect
174. #16839825C22semidirect
175. #16839820C22semidirect
176. #16839820C22semidirect
177. #16839772C22semidirect
178. #16839768C22semidirect
179. #16839765C22semidirect
180. #16839765C22semidirect
181. #16839756C22semidirect
182. #16839756C22semidirect
183. #16839755C22semidirect
184. #16839755C22semidirect
185. #16839727C22semidirect
186. #16839727C22semidirect
187. C2×C22⋊#92418C22semidirect
188. C61×#525C22semidirect
189. C2×#121×C61C22semidirect
190. C61×#483C22semidirect
191. C61×#482C22semidirect
192. C61×#482C22semidirect
193. C61×#480C22semidirect
194. C61×#469C22semidirect
195. C61×#469C22semidirect
196. C61×#468C22semidirect
197. C61×#468C22semidirect
198. C61×#450C22semidirect
199. C61×#449C22semidirect
200. C61×#449C22semidirect
201. C61×#447C22semidirect
202. C61×#407C22semidirect
968. #3194D61semidirect
1040. #525C2×D61semidirect
1042. C2×#121C2×D61semidirect
1055. #483C2×D61semidirect
1060. #482C2×D61semidirect
1061. #482C2×D61semidirect
1063. #480C2×D61semidirect
1070. #469C2×D61semidirect
1071. #469C2×D61semidirect
1074. #468C2×D61semidirect
1075. #468C2×D61semidirect
1111. #450C2×D61semidirect
1122. #449C2×D61semidirect
1123. #449C2×D61semidirect
1131. #447C2×D61semidirect
1160. #407C2×D61semidirect
1162. C61#61625semidirect

Maximal subgroups

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

subgroupindex
#214600872
#214594842
#214580562
#214580452
#214580002
#214579732
#214578802
#214578532
#214577672
#214577562
#214575292
#214575022
#214574732
#214574572
#214573972
#214573632
#214573212
#214573062
#214569172
#214569092
#214567082
#214566782
#214565842
#214560912
#214560762
#214550912
#214550822
#214550642
#214550352
#214548692
C61×#31942
#6162561