Finite Group Databasebeta

← #30565536

Subgroups — #30565536

Order 15616.

2132 conjugacy classes of subgroups.

The subgroup lattice has 1900 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459661C211yesmaximal, characteristic, complemented
2#21459303C211yesmaximal, characteristic, complemented
3#21458100C211yesmaximal, characteristic, complemented
4#21458046C211yesmaximal, characteristic, complemented
5#21458004C211yesmaximal, characteristic, complemented
6#21457999C211yesmaximal, characteristic, complemented
7#21457972C211yesmaximal, characteristic, complemented
8#21457756C211yesmaximal, characteristic, complemented
9#21457732C211yesmaximal, characteristic, complemented
10#21457576C211yesmaximal, characteristic, complemented
11#21457547C211yesmaximal, characteristic, complemented
12#21457482C211yesmaximal, characteristic, complemented
13#21457437C211yesmaximal, characteristic, complemented
14#21457380C211yesmaximal, characteristic, complemented
15#21457379C211yesmaximal, characteristic, complemented
16#21457346C211yesmaximal, characteristic, complemented
17#21457340C211yesmaximal, characteristic, complemented
18#21456831C211yesmaximal, characteristic, complemented
19#21456751C211yesmaximal, characteristic, complemented
20#21456659C211yesmaximal, characteristic, complemented
21#21456657C211yesmaximal, characteristic, complemented
22#21456614C211yesmaximal, characteristic, complemented
23#21456606C211yesmaximal, characteristic, complemented
24#21455966C211yesmaximal, characteristic, complemented
25#21455892C211yesmaximal, characteristic, complemented
26#21455063C211yesmaximal, characteristic, complemented
27#21455057C211yesmaximal, characteristic, complemented
28#21455039C211yesmaximal, characteristic, complemented
29#21455032C211yesmaximal, characteristic, complemented
30#21454849C211yesmaximal, characteristic, complemented
31C61×#3319C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519810C2211yescharacteristic, complemented
35C2×#14519806C2211yescharacteristic, complemented
36C2×#14519803C2211yescharacteristic, complemented
37C2×#14519801C2211yescharacteristic, complemented
38C2×#14519799C2211yescharacteristic, complemented
39C2×#14519797C2211yescharacteristic, complemented
40C2×#14519796C2211yescharacteristic, complemented
41C2×#14519796C2211yescharacteristic, complemented
42#16840494—21no—
43#16840494—21no—
44#16840480C2211yescharacteristic
45#16840480C2211yescharacteristic, complemented
46#16840478C2211yescharacteristic, complemented
47#16840464—21no—
48#16840456—21no—
49#16840430C2211yescharacteristic
50#16840430C2211yescharacteristic
51#16840430C2211yescharacteristic, complemented
52#16840425C2211yescharacteristic
53#16840421C2211yescharacteristic
54#16840420C2211yescharacteristic
55#16840417C2211yescharacteristic, complemented
56#16840416C2211yescharacteristic, complemented
57#16840411C2211yescharacteristic
58#16840410—21no—
59#16840407C2211yescharacteristic
60#16840402—21no—
61#16840401—21no—
62D4×C22⋊D61C2211yescharacteristic
63#16840394—21no—
64#16840346—21no—
65#16840346—21no—
66#16840328—21no—
67#16840317C2211yescharacteristic, complemented
68#16840311C2211yescharacteristic
69#16840309C2211yescharacteristic, complemented
70#16840307—21no—
71#16840275C2211yescharacteristic
72#16840274C2211yescharacteristic, complemented
73#16840274C2211yescharacteristic, complemented
74#16840272C2211yescharacteristic
75#16840272C2211yescharacteristic, complemented
76#16840272C2211yescharacteristic, complemented
77#16840270—21no—
78#16840268—21no—
79#16840242—21no—
80C4×#11758224C2211yescharacteristic
81C2×#14519737—21no—
82C4×D4×D61C2211yescharacteristic
83#16840157C2211yescharacteristic, complemented
84#16840156C2211yescharacteristic, complemented
85#16840137C2211yescharacteristic, complemented
86#16840133C2211yescharacteristic, complemented
87#16840124C2211yescharacteristic, complemented
88#16840111C2211yescharacteristic, complemented
89#16840107C2211yescharacteristic, complemented
90#16840105C2211yescharacteristic, complemented
91#16840105C2211yescharacteristic, complemented
92#16840105C2211yescharacteristic, complemented
93#16840103C2211yescharacteristic, complemented
94#16840102C2211yescharacteristic, complemented
95#16840089C2211yescharacteristic, complemented
96#16840088C2211yescharacteristic, complemented
97#16840086C2211yescharacteristic, complemented
98#16840084C2211yescharacteristic, complemented
99#16840084C2211yescharacteristic, complemented
100#16840046C2211yescharacteristic, complemented
101#16840044C2211yescharacteristic, complemented
102#16840040C2211yescharacteristic, complemented
103#16840021C2211yescharacteristic, complemented
104#16840018C2211yescharacteristic, complemented
105#16840014C2211yescharacteristic, complemented
106#16840013C2211yescharacteristic, complemented
107#16840009C2211yescharacteristic, complemented
108#16840008C2211yescharacteristic, complemented
109#16840007C2211yescharacteristic, complemented
110#16840003C2211yescharacteristic, complemented
111#16840002C2211yescharacteristic, complemented
112#16839999C2211yescharacteristic, complemented
113#16839994C2211yescharacteristic, complemented
114#16839992C2211yescharacteristic, complemented
115#16839989C2211yescharacteristic, complemented
116#16839989C2211yescharacteristic, complemented
117#16839978C2211yescharacteristic, complemented
118#16839977C2211yescharacteristic, complemented
119#16839974C2211yescharacteristic, complemented
120#16839973C2211yescharacteristic, complemented
121#16839971C2211yescharacteristic, complemented
122#16839971C2211yescharacteristic, complemented
123#16839967C2211yescharacteristic, complemented
124#16839961C2211yescharacteristic, complemented
125#16839961C2211yescharacteristic, complemented
126#16839961C2211yescharacteristic, complemented
127#16839955C2211yescharacteristic, complemented
128#16839927C2211yescharacteristic, complemented
129#16839927C2211yescharacteristic, complemented
130#16839926C2211yescharacteristic, complemented
131#16839926C2211yescharacteristic, complemented
132#16839925C2211yescharacteristic
133#16839925C2211yescharacteristic
134#16839925C2211yescharacteristic, complemented
135#16839925C2211yescharacteristic, complemented
136#16839925C2211yescharacteristic, complemented
137#16839925C2211yescharacteristic, complemented
138#16839925C2211yescharacteristic, complemented
139#16839924C2211yescharacteristic, complemented
140#16839922C2211yescharacteristic, complemented
141#16839921C2211yescharacteristic, complemented
142#16839920C2211yescharacteristic, complemented
143#16839919C2211yescharacteristic, complemented
144#16839914C2211yescharacteristic, complemented
145#16839913C2211yescharacteristic, complemented
146#16839910C2211yescharacteristic, complemented
147#16839909C2211yescharacteristic, complemented
148#16839908C2211yescharacteristic
149#16839908C2211yescharacteristic, complemented
150#16839908C2211yescharacteristic, complemented
151#16839908C2211yescharacteristic, complemented
152#16839908C2211yescharacteristic, complemented
153#16839906C2211yescharacteristic, complemented
154#16839905C2211yescharacteristic, complemented
155#16839905C2211yescharacteristic, complemented
156#16839904C2211yescharacteristic
157#16839904C2211yescharacteristic, complemented
158#16839904C2211yescharacteristic, complemented
159#16839902C2211yescharacteristic, complemented
160#16839900C2211yescharacteristic, complemented
161#16839897C2211yescharacteristic, complemented
162#16839872C2211yescharacteristic, complemented
163#16839864C2211yescharacteristic, complemented
164#16839862C2211yescharacteristic, complemented
165#16839856C2211yescharacteristic, complemented
166#16839856C2211yescharacteristic, complemented
167#16839853C2211yescharacteristic, complemented
168#16839853C2211yescharacteristic, complemented
169#16839838C2211yescharacteristic
170#16839837C2211yescharacteristic
171#16839835C2211yescharacteristic, complemented
172#16839834C2211yescharacteristic, complemented
173#16839832C2211yescharacteristic, complemented
174C8×C22⋊D61C2211yescharacteristic, complemented
175#16839825C2211yescharacteristic, complemented
176#16839817C2211yescharacteristic, complemented
177#16839814C2211yescharacteristic, complemented
178#16839770C2211yescharacteristic, complemented
179#16839769C2211yescharacteristic, complemented
180#16839765C2211yescharacteristic, complemented
181#16839756C2211yescharacteristic, complemented
182#16839755C2211yescharacteristic, complemented
183#16839755C2211yescharacteristic, complemented
184#16839725C2211yescharacteristic, complemented
185#16839724C2211yescharacteristic, complemented
186C2×#14519689C2211yescharacteristic, complemented
187C22⋊C8×D61C2211yescharacteristic, complemented
188C61×#555C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#466C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic, complemented
198C61×#447C2211yescharacteristic, complemented
199C61×#442C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222—21no—
206C2×#11758222C2311yescharacteristic
207C2×#11758222C2311yescharacteristic
208C2×#11758222C2311yescharacteristic
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224—21no—
212C2×#11758224—42no—
213C2×#11758224—42no—
214C2×#11758224C2311yescharacteristic
215C2×#11758224C2311yescharacteristic
216C2×#11758224C2311yescharacteristic
217C2×#11758224C2311yescharacteristic
218C2×#11758224C2311yescharacteristic
219C2×#11758224C2311yescharacteristic
220#41×D61—42no—
221#41×D61—42no—
222C22×Dic122C2311yescharacteristic
223C2×Q8×D61C2311yescharacteristic
224C22×C22⋊D61—21no—
225C22×C22⋊D61—21no—
226C2×D4×D61—21no—
227C2×D4×D61D411yescharacteristic
228C2×D4×D61C2311yescharacteristic
229C23×Dic61—21no—
230C22×C4×D61—21no—
231C22×C4×D61C2311yescharacteristic
232C22×C4×D61C2311yescharacteristic
233#14519810—42no—
234#14519806—42no—
235#14519803—42no—
236#14519801—42no—
237#14519799—42no—
238#14519797—42no—
239#14519796—42no—
240#14519796—42no—
241C2×Dic244C2311yescharacteristic
242C2×Dic244C2311yescharacteristic
243C2×Dic244C2311yescharacteristic
244C2×Dic244C2311yescharacteristic
245C2×#11758202C2311yescharacteristic
246C2×#11758202C2311yescharacteristic
247C2×#11758190C2311yescharacteristic
248C2×#11758190C2311yescharacteristic
249C2×#11758190C2311yescharacteristic
250C2×#11758190C2311yescharacteristic
251C2×#11758200C2311yescharacteristic
252C2×#11758200C2311yescharacteristic
253C2×#11758200C2311yescharacteristic
254C2×#11758200C2311yescharacteristic
255C2×#11758200C2311yescharacteristic
256C2×#11758200C2311yescharacteristic
257C2×#11758201C2311yescharacteristic
258C2×D488C2311yescharacteristic
259C2×#11758199C2311yescharacteristic
260C2×#11758199C2311yescharacteristic
261C2×#11758199C2311yescharacteristic
262C2×#11758194C2311yescharacteristic
263C2×#11758189C2311yescharacteristic
264C2×#11758189C2311yescharacteristic
265C22×#92418C2311yescharacteristic
266C2×C8×D61C2311yescharacteristic
267C2×C8×D61C2311yescharacteristic
268#14519777C2311yescharacteristic
269#14519776—21no—
270#14519776C2311yescharacteristic
271#14519775C2311yescharacteristic
272#14519773—21no—
273#14519773—21no—
274#14519773—21no—
275#14519773C2311yescharacteristic
276#14519773C2311yescharacteristic
277#14519771—21no—
278#14519771—21no—
279#14519770—21no—
280#14519770—21no—
281#14519768—21no—
282#14519766—21no—
283#14519766—21no—
284#14519765C2311yescharacteristic
285#14519763—21no—
286#14519763—21no—
287#14519763—21no—
288#14519763—21no—
289#14519763—21no—
290#14519762—21no—
291#14519761—21no—
292#14519761—21no—
293#14519761—21no—
294#14519761—21no—
295#14519761—21no—
296#14519760—21no—
297#14519759—21no—
298#14519759—21no—
299#14519759—21no—
300#14519759—21no—
301#14519759—21no—
302#14519758—21no—
303#14519757C2311yescharacteristic
304#14519757C2311yescharacteristic
305#14519757C2311yescharacteristic
306#14519757C2311yescharacteristic
307#14519757C2311yescharacteristic
308#14519756C2311yescharacteristic
309#14519756C2311yescharacteristic
310#14519756C2311yescharacteristic
311#14519755—21no—
312#14519755—21no—
313#14519754—21no—
314#14519754—21no—
315#14519753—21no—
316#14519753C2311yescharacteristic
317#14519752—21no—
318#14519752C2311yescharacteristic
319#14519752C2311yescharacteristic
320#14519752C2311yescharacteristic
321#14519752C2311yescharacteristic
322#14519751—21no—
323#14519751—21no—
324#14519751C2311yescharacteristic
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750—21no—
329#14519750—21no—
330#14519750—21no—
331#14519750—21no—
332#14519749—21no—
333#14519749—21no—
334#14519749—21no—
335#14519749—21no—
336#14519749—21no—
337#14519749—21no—
338#14519748—21no—
339#14519748C2311yescharacteristic
340#14519748C2311yescharacteristic
341#14519747—21no—
342#14519747—21no—
343#14519747—21no—
344#14519747—21no—
345#14519746—21no—
346#14519745—21no—
347#14519745—21no—
348#14519745—21no—
349#14519745—21no—
350Q8×Dic61—21no—
351C4×Dic122—21no—
352C4×Dic122—21no—
353C4×Dic122C2311yescharacteristic
354#14519742C2311yescharacteristic
355#14519742C2311yescharacteristic
356#14519742C2311yescharacteristic
357C4×D244—21no—
358C4×D244—21no—
359C4×D244—21no—
360C4×D244—21no—
361C4×D244C2311yescharacteristic
362C4×D244C2311yescharacteristic
363D4×Dic61—21no—
364D4×Dic61—21no—
365D4×Dic61—21no—
366D4×Dic61D411yescharacteristic
367D4×Dic61C2311yescharacteristic
368#14519739—21no—
369#14519739D411yescharacteristic
370C4×C22⋊D61—21no—
371C4×C22⋊D61—21no—
372C4×C22⋊D61C2311yescharacteristic
373C4×C22⋊D61C2311yescharacteristic
374#14519737—21no—
375#14519737—21no—
376#14519737—21no—
377#14519737—21no—
378#14519737—21no—
379#14519737—21no—
380#14519737—21no—
381#14519737—21no—
382#14519737—21no—
383#14519737—21no—
384#14519737—21no—
385#14519737—21no—
386#14519737—21no—
387#14519737D411yescharacteristic
388#14519737D411yescharacteristic
389#14519735—21no—
390#14519735—21no—
391#14519735C2311yescharacteristic
392#14519735C2311yescharacteristic
393#14519735C2311yescharacteristic
394#14519733—21no—
395C2×C4⋊Dic61—21no—
396C2×#11758196—21no—
397C4⋊C4×D61—21no—
398C4⋊C4×D61D411yescharacteristic
399C2×#11758198—21no—
400C22⋊C4×D61D411yescharacteristic
401C22⋊C4×D61D411yescharacteristic
402C2×C4×Dic61—21no—
403C42×D61C2311yescharacteristic
404#14519711C2311yescharacteristic
405#14519710C2311yescharacteristic
406#14519708C2311yescharacteristic
407#14519708C2311yescharacteristic
408#14519708C2311yescharacteristic
409C4⋊#92418C2311yescharacteristic
410#14519706C2311yescharacteristic
411#14519706C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519702C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434C22⋊#92418C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519689C2311yescharacteristic
443#14519689C2311yescharacteristic
444#14519688C2311yescharacteristic
445C8×Dic61C2311yescharacteristic
446C8×Dic61C2311yescharacteristic
447C2×#41×C61C2311yescharacteristic
448C22×D4×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×D8×C61C2311yescharacteristic
451C2×D8×C61C2311yescharacteristic
452C2×M16×C61C2311yescharacteristic
453C22×C8×C61C2311yescharacteristic
454C4⋊Q8×C61C2311yescharacteristic
455#124×C61—21no—
456#124×C61—21no—
457#124×C61C2311yescharacteristic
458#123×C61—21no—
459C22⋊Q8×C61C2311yescharacteristic
460#121×C61—21no—
461#121×C61—21no—
462#121×C61C2311yescharacteristic
463#121×C61C2311yescharacteristic
464#121×C61C2311yescharacteristic
465#120×C61—21no—
466C4×D4×C61C2311yescharacteristic
467C4×D4×C61C2311yescharacteristic
468C4×D4×C61C2311yescharacteristic
469#117×C61—21no—
470#117×C61C2311yescharacteristic
471#117×C61C2311yescharacteristic
472C2×C22⋊C4×C61—21no—
473#107×C61C2311yescharacteristic
474#107×C61C2311yescharacteristic
475#106×C61C2311yescharacteristic
476C4⋊C8×C61C2311yescharacteristic
477#103×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
486#102×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic
489#97×C61C2311yescharacteristic
490C24×C61—21no—
491C23×D61—21no—
492C23×D61C2×D411yescharacteristic
493C23×D61C2×D411yescharacteristic
494#41×C61—22no—
495#41×C61—41no—
496C2×Q8×C61—21no—
497C2×Q8×C61C2411yescharacteristic
498C2×D4×C61—22no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—41no—
505C2×D4×C61C2×D411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C2×D4×C61C2411yescharacteristic
508C2×D4×C61C2411yescharacteristic
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61—21no—
512C22×C4×C61C2411yescharacteristic
513C22×C4×C61C2411yescharacteristic
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
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—44no—
532C2×C22⋊D61—44no—
533C2×C22⋊D61C2×D411yescharacteristic
534C2×C22⋊D61C2×D411yescharacteristic
535C22×Dic61—21no—
536C22×Dic61—21no—
537C22×Dic61—21no—
538C22×Dic61—21no—
539C22×Dic61—21no—
540C22×Dic61—21no—
541C22×Dic61—21no—
542C22×Dic61—21no—
543C22×Dic61—44no—
544C22×Dic61C2×D411yescharacteristic
545C22×Dic61C2×D411yescharacteristic
546#11758226—41no—
547#11758226—41no—
548Q8×D61—22no—
549Q8×D61—41no—
550#11758224—22no—
551#11758224—22no—
552#11758224—22no—
553#11758224—22no—
554#11758224—41no—
555#11758224—41no—
556#11758224—41no—
557#11758224—41no—
558#11758224—41no—
559#11758224—41no—
560#11758224—41no—
561#11758224—41no—
562#11758224—44no—
563#11758224—44no—
564#11758224—44no—
565D4×D61—22no—
566D4×D61—41no—
567D4×D61—42no—
568D4×D61—44no—
569#11758222—22no—
570#11758222—41no—
571#11758222—41no—
572#11758222—41no—
573#11758222—41no—
574#11758222—41no—
575#11758222—44no—
576#11758222—44no—
577C2×D244—21no—
578C2×D244—21no—
579C2×D244—21no—
580C2×D244—21no—
581C2×D244—21no—
582C2×D244C2×D411yescharacteristic
583C2×D244C2411yescharacteristic
584C2×D244C2411yescharacteristic
585C2×C4×D61—21no—
586C2×C4×D61—21no—
587C2×C4×D61—21no—
588C2×C4×D61—21no—
589C2×C4×D61—21no—
590C2×C4×D61—21no—
591C2×C4×D61—41no—
592C2×C4×D61—41no—
593C2×C4×D61—41no—
594C2×C4×D61—41no—
595C2×C4×D61—44no—
596C2×C4×D61C2×D411yescharacteristic
597C2×C4×D61C2×D411yescharacteristic
598C2×C4×D61C2×D411yescharacteristic
599C2×C4×D61C2×D411yescharacteristic
600C2×C4×D61C2×D411yescharacteristic
601C2×C4×D61C2×D411yescharacteristic
602C2×C4×D61C2411yescharacteristic
603C2×C4×D61C2411yescharacteristic
604C2×C4×D61C2411yescharacteristic
605C2×Dic122—22no—
606C2×Dic122—21no—
607C2×Dic122—21no—
608C2×Dic122—21no—
609C2×Dic122—41no—
610C2×Dic122C2411yescharacteristic
611C2×Dic122C2411yescharacteristic
612C2×Dic122C2411yescharacteristic
613C2×Dic122C2411yescharacteristic
614SD16×C61—41no—
615D8×C61—22no—
616D8×C61—41no—
617M16×C61—41no—
618C2×C8×C61—41no—
619C2×C8×C61C2411yescharacteristic
620C2×C8×C61C2411yescharacteristic
621C2×C8×C61C2411yescharacteristic
622C2×C8×C61C2411yescharacteristic
623C4⋊C4×C61—21no—
624C4⋊C4×C61—21no—
625C4⋊C4×C61C2×D411yescharacteristic
626C4⋊C4×C61C2411yescharacteristic
627C4⋊C4×C61C2411yescharacteristic
628C4⋊C4×C61C2411yescharacteristic
629C4⋊C4×C61C2411yescharacteristic
630C22⋊C4×C61—21no—
631C22⋊C4×C61—21no—
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×C61C2×D411yescharacteristic
641C22⋊C4×C61C2×D411yescharacteristic
642C42×C61—21no—
643C42×C61—21no—
644C42×C61C2411yescharacteristic
645C22⋊Dic61—21no—
646C22⋊Dic61—21no—
647C22⋊Dic61—21no—
648C22⋊Dic61—21no—
649C22⋊Dic61—21no—
650C22⋊Dic61—21no—
651C22⋊Dic61C2×D411yescharacteristic
652C22⋊Dic61C2×D411yescharacteristic
653#11758202—41no—
654#11758202—41no—
655#11758201—41no—
656#11758200—22no—
657#11758200—22no—
658#11758200—22no—
659#11758200—41no—
660#11758200—41no—
661#11758200—41no—
662#11758199—22no—
663#11758199—41no—
664#11758199—41no—
665#11758198—21no—
666#11758198—21no—
667#11758198—21no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198—21no—
672#11758198—21no—
673#11758198—21no—
674#11758198—21no—
675#11758198—21no—
676#11758198—21no—
677#11758198—21no—
678#11758198—21no—
679#11758198—21no—
680#11758198—21no—
681#11758198—21no—
682#11758198C2×D411yescharacteristic
683#11758198C2×D411yescharacteristic
684#11758198C2×D411yescharacteristic
685#11758198C2×D411yescharacteristic
686C4⋊Dic61—21no—
687C4⋊Dic61—21no—
688C4⋊Dic61—21no—
689C4⋊Dic61—21no—
690C4⋊Dic61—21no—
691C4⋊Dic61—21no—
692C4⋊Dic61—21no—
693C4⋊Dic61C2×D411yescharacteristic
694C4⋊Dic61C2411yescharacteristic
695C4⋊Dic61C2411yescharacteristic
696#11758196—21no—
697#11758196—21no—
698#11758196—21no—
699#11758196—21no—
700#11758196—21no—
701#11758196—21no—
702#11758196—21no—
703#11758196—21no—
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196C2×D411yescharacteristic
708#11758196C2×D411yescharacteristic
709C4×Dic61—21no—
710C4×Dic61—21no—
711C4×Dic61—21no—
712C4×Dic61—21no—
713C4×Dic61—21no—
714C4×Dic61—21no—
715C4×Dic61—21no—
716C4×Dic61C2×D411yescharacteristic
717C4×Dic61C2×D411yescharacteristic
718C4×Dic61C2411yescharacteristic
719#11758194—41no—
720C2×#92418—41no—
721C2×#92418C2411yescharacteristic
722C2×#92418C2411yescharacteristic
723C2×#92418C2411yescharacteristic
724C2×#92418C2411yescharacteristic
725Dic244—22no—
726Dic244—22no—
727Dic244—41no—
728Dic244—41no—
729D488—41no—
730#11758190—22no—
731#11758190—41no—
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—42no—
742C23×C61—42no—
743C23×C61—81no—
744C23×C61C22×D411yescharacteristic
745C23×C61C22×D411yescharacteristic
746C22×D61—21no—
747C22×D61—21no—
748C22×D61—41no—
749C22×D61—41no—
750C22×D61—41no—
751C22×D61—41no—
752C22×D61—41no—
753C22×D61—41no—
754C22×D61—42no—
755C22×D61—42no—
756C22×D61—81no—
757C22×D61C22×D411yescharacteristic
758C22×D61C22×D411yescharacteristic
759C22×D61C22×D411yescharacteristic
760Q8×C61—21no—
761Q8×C61—21no—
762Q8×C61—81no—
763D4×C61—21no—
764D4×C61—21no—
765D4×C61—21no—
766D4×C61—21no—
767D4×C61—21no—
768D4×C61—41no—
769D4×C61—42no—
770D4×C61—42no—
771D4×C61—81no—
772D4×C61—81no—
773D4×C61—81no—
774D4×C61H(5,𝔽2)12yes—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—21no—
781C2×C4×C61—21no—
782C2×C4×C61—21no—
783C2×C4×C61—21no—
784C2×C4×C61—42no—
785C2×C4×C61—42no—
786C2×C4×C61—81no—
787C2×C4×C61C22×D411yescharacteristic
788C2×C4×C61C22×D411yescharacteristic
789C2×C4×C61C22×D411yescharacteristic
790C2×C4×C61C22×D411yescharacteristic
791C2×C4×C61C2511yescharacteristic
792C22⋊D61—24no—
793C22⋊D61—22no—
794C22⋊D61—22no—
795C22⋊D61—42no—
796C22⋊D61—42no—
797C22⋊D61—42no—
798C22⋊D61—42no—
799C22⋊D61—42no—
800C22⋊D61—42no—
801C22⋊D61—42no—
802C22⋊D61—42no—
803C22⋊D61—42no—
804C22⋊D61—42no—
805C22⋊D61—81no—
806C22⋊D61—81no—
807C22⋊D61—81no—
808C22⋊D61—81no—
809C22⋊D61—81no—
810C22⋊D61—81no—
811C2×Dic61—24no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—21no—
815C2×Dic61—21no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—41no—
819C2×Dic61—41no—
820C2×Dic61—42no—
821C2×Dic61—42no—
822C2×Dic61—42no—
823C2×Dic61—42no—
824C2×Dic61—42no—
825C2×Dic61—81no—
826C2×Dic61—81no—
827C2×Dic61C22×D411yescharacteristic
828C2×Dic61C22×D411yescharacteristic
829C2×Dic61C22×D411yescharacteristic
830C2×Dic61C22×D411yescharacteristic
831C2×Dic61C22×D411yescharacteristic
832D244—21no—
833D244—21no—
834D244—21no—
835D244—21no—
836D244—41no—
837D244—42no—
838D244—42no—
839D244—81no—
840D244—81no—
841D244—81no—
842C4×D61—21no—
843C4×D61—21no—
844C4×D61—21no—
845C4×D61—21no—
846C4×D61—21no—
847C4×D61—21no—
848C4×D61—22no—
849C4×D61—41no—
850C4×D61—41no—
851C4×D61—41no—
852C4×D61—41no—
853C4×D61—41no—
854C4×D61—42no—
855C4×D61—42no—
856C4×D61—42no—
857C4×D61—42no—
858C4×D61—81no—
859C4×D61—81no—
860Dic122—21no—
861Dic122—21no—
862Dic122—21no—
863Dic122—21no—
864Dic122—21no—
865Dic122—21no—
866Dic122—21no—
867Dic122—42no—
868Dic122—42no—
869Dic122—42no—
870Dic122H(5,𝔽2)12yes—
871C8×C61—21no—
872C8×C61—21no—
873C8×C61—21no—
874C8×C61—21no—
875#92418—21no—
876#92418—21no—
877#92418—21no—
878#92418—21no—
879#61608—611nomaximal, Sylow
880C22×C61—21no—
881C22×C61—21no—
882C22×C61—22no—
883C22×C61—21no—
884C22×C61—21no—
885C22×C61—21no—
886C22×C61—21no—
887C22×C61—41no—
888C22×C61—41no—
889C22×C61—41no—
890C22×C61—41no—
891C22×C61—41no—
892C22×C61—41no—
893C22×C61—41no—
894C22×C61—41no—
895C22×C61—84no—
896C22×C61C23×D411yescharacteristic
897C2×D61—21no—
898C2×D61—21no—
899C2×D61—21no—
900C2×D61—21no—
901C2×D61—21no—
902C2×D61—21no—
903C2×D61—21no—
904C2×D61—21no—
905C2×D61—21no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—41no—
912C2×D61—82no—
913C2×D61—82no—
914C2×D61—84no—
915C4×C61—21no—
916C4×C61—21no—
917C4×C61—21no—
918C4×C61—21no—
919C4×C61—41no—
920C4×C61—41no—
921C4×C61—41no—
922C4×C61—41no—
923C4×C61—41no—
924C4×C61C2×H(5,𝔽2)11yescharacteristic
925C4×C61C2×H(5,𝔽2)11yescharacteristic
926Dic61—21no—
927Dic61—22no—
928Dic61—21no—
929Dic61—21no—
930Dic61—21no—
931Dic61—41no—
932Dic61—41no—
933Dic61—41no—
934Dic61—41no—
935Dic61—41no—
936Dic61#57512yes—
937#3506—611no—
938D4×#41—611no—
939#3328—611no—
940#3324—611no—
941#3321—611no—
942#3321—611no—
943#3319—611no—
944#3319D6111yescharacteristic, complemented
945#3304—611no—
946#3302—611no—
947#3287—611no—
948#3284—611no—
949#3278—611no—
950#3274—611no—
951#3269—611no—
952#3269—611no—
953#3267—611no—
954#3267—611no—
955#3216—611no—
956#3207—611no—
957#3197—611no—
958#3197—611no—
959#3191—611no—
960#3191—611no—
961#3115—611no—
962#3107—611no—
963#3005—611no—
964#3005—611no—
965#3002—611no—
966#3002—611no—
967#2974—611no—
968C2×C61—41no—
969C2×C61—41no—
970C2×C61—42no—
971C2×C61—81no—
972C2×C61—81no—
973C2×C61#348411yescharacteristic
974C2×C61C2×#57511yescharacteristic
975C2×C61#358411yescharacteristic
976D61—41no—
977D61—41no—
978D61—41no—
979D61—81no—
980D61—81no—
981C22×#41—611no—
982C22×#41—611no—
983C2×#137—611no—
984C2×#137—611no—
985C2×AGL(1,ℤ/8)—611no—
986C2×AGL(1,ℤ/8)—611no—
987C2×#135—611no—
988C2×#135—611no—
989C2×#135—611no—
990C2×#135—611no—
991#559—1221no—
992#559—1221no—
993#556—611no—
994#556—611no—
995#555—611no—
996#555C2×D6111yescharacteristic, complemented
997#553—1221no—
998#553—1221no—
999#550—611no—
1000#550—611no—
1001#550—611no—
1002D4×Q8—611no—
1003#548—611no—
1004#548—611no—
1005#547—611no—
1006#547—611no—
1007#547—611no—
1008#547—1221no—
1009#546—611no—
1010#546—1221no—
1011#546—1221no—
1012#546C2×D6111yescharacteristic
1013D42—611no—
1014D42—1221no—
1015#538—1221no—
1016#538—1221no—
1017#535—1221no—
1018#533—611no—
1019#532—611no—
1020#532—611no—
1021#532—1221no—
1022#525—611no—
1023#525—611no—
1024#525—611no—
1025#525—611no—
1026#525—611no—
1027#525—611no—
1028#525—1221no—
1029#525—1221no—
1030#520—1221no—
1031C4×#41—611no—
1032C2×C4×D4—611no—
1033C2×C4×D4—1221no—
1034#497—611no—
1035#497—611no—
1036#493—611no—
1037#492—611no—
1038#489—611no—
1039#489C2×D6111yescharacteristic, complemented
1040#487—611no—
1041#486—611no—
1042#485—611no—
1043#485—611no—
1044#485—611no—
1045#485—611no—
1046#485—611no—
1047#485C2×D6111yescharacteristic, complemented
1048#482—611no—
1049#482—611no—
1050#482—611no—
1051#482—611no—
1052#482—611no—
1053#482C2×D6111yescharacteristic, complemented
1054#475—611no—
1055#475—611no—
1056#474—611no—
1057#474C2×D6111yescharacteristic, complemented
1058#470—611no—
1059#470—611no—
1060#469—611no—
1061#469—611no—
1062#468—611no—
1063#468—611no—
1064#468—611no—
1065#468C2×D6111yescharacteristic, complemented
1066#467—611no—
1067#467—611no—
1068#466—611no—
1069#466C2×D6111yescharacteristic, complemented
1070#465—611no—
1071#465—611no—
1072#465—611no—
1073#465—611no—
1074#463—611no—
1075#463—611no—
1076#463—611no—
1077#463C2×D6111yescharacteristic, complemented
1078#462—611no—
1079#462—611no—
1080#462—611no—
1081#461—611no—
1082#460—611no—
1083#460—611no—
1084#460—611no—
1085#459—611no—
1086#452—611no—
1087#452—611no—
1088#452—611no—
1089#452—611no—
1090#452—611no—
1091#452—611no—
1092#452—611no—
1093#452—611no—
1094#452—611no—
1095#452—611no—
1096#452—611no—
1097#452—611no—
1098#452—611no—
1099#452—611no—
1100#451—611no—
1101#451—611no—
1102#450—611no—
1103#450—611no—
1104#449—611no—
1105#449—611no—
1106#449—611no—
1107#449—611no—
1108#449—611no—
1109#449—611no—
1110#449—611no—
1111#449—611no—
1112#449—611no—
1113#449—611no—
1114#449—611no—
1115#449—611no—
1116#449—611no—
1117#449C2×D6111yescharacteristic, complemented
1118#448—611no—
1119#448—611no—
1120#447—611no—
1121#447C2×D6111yescharacteristic, complemented
1122#442—611no—
1123#442C2×D6111yescharacteristic, complemented
1124#440—611no—
1125#440—611no—
1126C4×Q16—611no—
1127C4×Q16—611no—
1128C4×SD16—611no—
1129C4×SD16—611no—
1130#436—611no—
1131#436—611no—
1132#435—611no—
1133#435—611no—
1134#435—611no—
1135#435C2×D6111yescharacteristic, complemented
1136C8×D4—611no—
1137C8×D4—611no—
1138#432—611no—
1139#431—611no—
1140#419—611no—
1141#419—611no—
1142#418—611no—
1143#418C2×D6111yescharacteristic, complemented
1144#416—611no—
1145#416—611no—
1146#416—611no—
1147#416C2×D6111yescharacteristic, complemented
1148#407—611no—
1149#407—611no—
1150C2×C22⋊C8—611no—
1151C2×C22⋊C8—611no—
1152C61#6160811yescharacteristic, complemented, Sylow
1153C2×#41—611no—
1154C2×#41—611no—
1155C2×#41—611no—
1156C2×#41—611no—
1157C2×#41—611no—
1158C2×#41—611no—
1159C2×#41—611no—
1160C2×#41—611no—
1161C2×#41—611no—
1162C2×#41—611no—
1163C2×#41—1221no—
1164C2×#41—1221no—
1165C2×#41—1221no—
1166C2×#41—1221no—
1167C2×#41—1221no—
1168C2×#41—2442no—
1169C2×#41—2442no—
1170C2×#41—2442no—
1171C2×#41—2442no—
1172C2×#41C22×D6111yescharacteristic
1173C22×Q8—611no—
1174C22×Q8—611no—
1175C22×D4—611no—
1176C22×D4—611no—
1177C22×D4—1221no—
1178C22×D4—1221no—
1179C22×D4—1221no—
1180C22×D4C22×D6111yescharacteristic
1181C23×C4—611no—
1182C23×C4—611no—
1183C23×C4—1221no—
1184C23×C4—1221no—
1185#137—2442no—
1186#137—2442no—
1187AGL(1,ℤ/8)—2442no—
1188AGL(1,ℤ/8)—2442no—
1189#135—2442no—
1190#135—2442no—
1191#135—2442no—
1192#135—2442no—
1193C2×Q16—611no—
1194C2×Q16—611no—
1195C2×Q16—611no—
1196C2×Q16—611no—
1197C2×Q16—611no—
1198C2×Q16—611no—
1199C2×SD16—611no—
1200C2×SD16—611no—
1201C2×SD16—611no—
1202C2×SD16—611no—
1203C2×SD16—611no—
1204C2×SD16—611no—
1205C2×SD16—611no—
1206C2×SD16—611no—
1207C2×SD16—611no—
1208C2×SD16—611no—
1209C2×SD16—611no—
1210C2×SD16C22×D6111yescharacteristic
1211C2×D8—611no—
1212C2×D8—611no—
1213C2×D8—611no—
1214C2×D8—611no—
1215C2×D8C22×D6111yescharacteristic
1216C2×D8C22×D6111yescharacteristic
1217C2×M16—611no—
1218C2×M16—611no—
1219C2×M16—611no—
1220C2×M16C22×D6111yescharacteristic
1221C22×C8—611no—
1222C22×C8—611no—
1223C22×C8—611no—
1224C22×C8C22×D6111yescharacteristic
1225C4⋊Q8—611no—
1226C4⋊Q8—611no—
1227C4⋊Q8—611no—
1228C4⋊Q8—1221no—
1229C4⋊Q8C22×D6111yescharacteristic
1230#127—611no—
1231#127—611no—
1232#127—1221no—
1233#127—1221no—
1234#127—1221no—
1235#126—1221no—
1236#126—1221no—
1237#126—1221no—
1238#126—1221no—
1239#125—1221no—
1240#124—21no—
1241#124—21no—
1242#124—611no—
1243#124—1221no—
1244#124—1221no—
1245#124—1221no—
1246#124—1221no—
1247#124—1221no—
1248#124—1221no—
1249#124—1221no—
1250#124C22×D6111yescharacteristic
1251#123—21no—
1252#123—1221no—
1253#123—1221no—
1254#123—1221no—
1255#123—1221no—
1256#123—1221no—
1257#123—1221no—
1258#123—1221no—
1259#123—1221no—
1260#123—1221no—
1261#123—1221no—
1262#123—1221no—
1263#123—1221no—
1264#123—1221no—
1265C22⋊Q8—611no—
1266C22⋊Q8—611no—
1267C22⋊Q8—611no—
1268C22⋊Q8—611no—
1269C22⋊Q8—611no—
1270C22⋊Q8—611no—
1271C22⋊Q8—611no—
1272C22⋊Q8—611no—
1273C22⋊Q8—611no—
1274C22⋊Q8—1221no—
1275C22⋊Q8—1221no—
1276C22⋊Q8—1221no—
1277C22⋊Q8—1221no—
1278C22⋊Q8—1221no—
1279C22⋊Q8C22×D6111yescharacteristic
1280#121—21no—
1281#121—21no—
1282#121—611no—
1283#121—611no—
1284#121—611no—
1285#121—611no—
1286#121—611no—
1287#121—611no—
1288#121—611no—
1289#121—1221no—
1290#121—1221no—
1291#121—1221no—
1292#121—1221no—
1293#121—1221no—
1294#121—1221no—
1295#121—1221no—
1296#121—1221no—
1297#121—1221no—
1298#121—1221no—
1299#121—1221no—
1300#121—1221no—
1301#121—1221no—
1302#121—1221no—
1303#121—1221no—
1304#121—1221no—
1305#121—1221no—
1306#121C22×D6111yescharacteristic
1307#121C22×D6111yescharacteristic
1308#121C22×D6111yescharacteristic
1309#120—21no—
1310#120—1221no—
1311#120—1221no—
1312#120—1221no—
1313#120—1221no—
1314#120—1221no—
1315#120—1221no—
1316#120—1221no—
1317#120—1221no—
1318#120—1221no—
1319C4×Q8—611no—
1320C4×Q8—611no—
1321C4×Q8—611no—
1322C4×Q8—611no—
1323C4×Q8—1221no—
1324C4×Q8—1221no—
1325C4×Q8—1221no—
1326C4×D4—611no—
1327C4×D4—611no—
1328C4×D4—611no—
1329C4×D4—611no—
1330C4×D4—611no—
1331C4×D4—611no—
1332C4×D4—611no—
1333C4×D4—611no—
1334C4×D4—611no—
1335C4×D4—1221no—
1336C4×D4—1221no—
1337C4×D4—1221no—
1338C4×D4—1221no—
1339C4×D4—1221no—
1340C4×D4—1221no—
1341C4×D4—1221no—
1342C4×D4—1221no—
1343C4×D4—1221no—
1344C4×D4—1221no—
1345C4×D4—1221no—
1346C4×D4—1221no—
1347C4×D4—1221no—
1348C4×D4—1221no—
1349C4×D4—1221no—
1350C4×D4—1221no—
1351C4×D4—1221no—
1352C4×D4—1221no—
1353C4×D4—1221no—
1354C4×D4—1221no—
1355C4×D4—1221no—
1356C4×D4—1221no—
1357C4×D4—1221no—
1358C4×D4C22×D6111yescharacteristic
1359C4×D4C22×D6111yescharacteristic
1360C4×D4C22×D6111yescharacteristic
1361#117—21no—
1362#117—611no—
1363#117—611no—
1364#117—611no—
1365#117—1221no—
1366#117—1221no—
1367#117—1221no—
1368#117C22×D6111yescharacteristic
1369#117C22×D6111yescharacteristic
1370C2×C4⋊C4—611no—
1371C2×C4⋊C4—1221no—
1372C2×C4⋊C4—1221no—
1373C2×C4⋊C4—1221no—
1374C2×C22⋊C4—21no—
1375C2×C22⋊C4—611no—
1376C2×C22⋊C4—611no—
1377C2×C22⋊C4—1221no—
1378C2×C42—611no—
1379C2×C42—1221no—
1380#107—611no—
1381#107—611no—
1382#107C22×D6111yescharacteristic
1383#107C22×D6111yescharacteristic
1384#106—611no—
1385#106—611no—
1386#106—611no—
1387#106C22×D6111yescharacteristic
1388C4⋊C8—611no—
1389C4⋊C8—611no—
1390C4⋊C8—611no—
1391C4⋊C8C22×D6111yescharacteristic
1392#103—611no—
1393#103—611no—
1394#103—611no—
1395#103—611no—
1396#103—611no—
1397#103—611no—
1398#103—611no—
1399#103—611no—
1400#103—611no—
1401#103—611no—
1402#103—611no—
1403#103—611no—
1404#103—611no—
1405#103C22×D6111yescharacteristic
1406#103C22×D6111yescharacteristic
1407#103C22×D6111yescharacteristic
1408#102—611no—
1409#102—611no—
1410#102—611no—
1411#102—611no—
1412#102—611no—
1413#102—611no—
1414#102—611no—
1415#102—611no—
1416#102—611no—
1417#102C22×D6111yescharacteristic
1418#102C22×D6111yescharacteristic
1419#102C22×D6111yescharacteristic
1420#102C22×D6111yescharacteristic
1421#102C22×D6111yescharacteristic
1422#102C22×D6111yescharacteristic
1423#102C22×D6111yescharacteristic
1424C22⋊C8—611no—
1425C22⋊C8—611no—
1426C22⋊C8—611no—
1427C22⋊C8—611no—
1428C22⋊C8—611no—
1429C22⋊C8—611no—
1430C22⋊C8—611no—
1431C22⋊C8—611no—
1432C22⋊C8—611no—
1433C22⋊C8—611no—
1434C22⋊C8C22×D6111yescharacteristic
1435C22⋊C8C22×D6111yescharacteristic
1436#97—611no—
1437#97C22×D6111yescharacteristic
1438C4×C8—611no—
1439C4×C8—611no—
1440C24—21no—
1441C24—611no—
1442C24—611no—
1443C24—1221no—
1444#41—22no—
1445#41—41no—
1446#41—1222no—
1447#41—1222no—
1448#41—1222no—
1449#41—1222no—
1450#41—1222no—
1451#41—2441no—
1452#41—2441no—
1453#41—2441no—
1454#41—2441no—
1455#41—2441no—
1456#41—2444no—
1457#41—2444no—
1458#41—2441no—
1459#41—2441no—
1460#41—2441no—
1461#41—2441no—
1462#41—2441no—
1463#41—2441no—
1464#41—2441no—
1465#41—2441no—
1466#41—2444no—
1467#41—2444no—
1468#41—2441no—
1469#41—2441no—
1470#41—2444no—
1471C2×Q8—21no—
1472C2×Q8—611no—
1473C2×Q8—611no—
1474C2×Q8—611no—
1475C2×Q8—611no—
1476C2×Q8—1221no—
1477C2×Q8—1221no—
1478C2×Q8—1222no—
1479C2×Q8—1221no—
1480C2×Q8—1222no—
1481C2×Q8—2441no—
1482C2×Q8—2441no—
1483C2×Q8C23×D6111yescharacteristic
1484C2×D4—22no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—41no—
1491C2×D4—611no—
1492C2×D4—611no—
1493C2×D4—611no—
1494C2×D4—611no—
1495C2×D4—611no—
1496C2×D4—1221no—
1497C2×D4—1221no—
1498C2×D4—1221no—
1499C2×D4—1221no—
1500C2×D4—1221no—
1501C2×D4—1221no—
1502C2×D4—1221no—
1503C2×D4—1221no—
1504C2×D4—1221no—
1505C2×D4—1221no—
1506C2×D4—1221no—
1507C2×D4—1222no—
1508C2×D4—1221no—
1509C2×D4—1221no—
1510C2×D4—1221no—
1511C2×D4—1221no—
1512C2×D4—1221no—
1513C2×D4—1221no—
1514C2×D4—1221no—
1515C2×D4—1221no—
1516C2×D4—1221no—
1517C2×D4—1221no—
1518C2×D4—1221no—
1519C2×D4—2441no—
1520C2×D4—2442no—
1521C2×D4—2444no—
1522C2×D4—2444no—
1523C2×D4—2444no—
1524C2×D4D4×D6111yescharacteristic
1525C2×D4C23×D6111yescharacteristic
1526C2×D4C23×D6111yescharacteristic
1527C2×D4C23×D6111yescharacteristic
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—611no—
1532C22×C4—611no—
1533C22×C4—611no—
1534C22×C4—611no—
1535C22×C4—611no—
1536C22×C4—611no—
1537C22×C4—611no—
1538C22×C4—611no—
1539C22×C4—611no—
1540C22×C4—611no—
1541C22×C4—611no—
1542C22×C4—1221no—
1543C22×C4—1221no—
1544C22×C4—1221no—
1545C22×C4—1221no—
1546C22×C4—1221no—
1547C22×C4—1221no—
1548C22×C4—1221no—
1549C22×C4—1221no—
1550C22×C4—1221no—
1551C22×C4—1221no—
1552C22×C4—1221no—
1553C22×C4—1221no—
1554C22×C4—1221no—
1555C22×C4—1221no—
1556C22×C4—2441no—
1557C22×C4—2441no—
1558C22×C4—2441no—
1559C22×C4—2441no—
1560C22×C4—2444no—
1561C22×C4—2444no—
1562C22×C4C23×D6111yescharacteristic
1563C22×C4C23×D6111yescharacteristic
1564Q16—1222no—
1565Q16—1222no—
1566Q16—2441no—
1567Q16—2441no—
1568Q16—2441no—
1569Q16—2441no—
1570SD16—41no—
1571SD16—1222no—
1572SD16—1222no—
1573SD16—1222no—
1574SD16—1222no—
1575SD16—2441no—
1576SD16—2441no—
1577SD16—2441no—
1578SD16—2441no—
1579SD16—2441no—
1580SD16—2441no—
1581SD16—2441no—
1582D8—22no—
1583D8—41no—
1584D8—1222no—
1585D8—2441no—
1586D8—2441no—
1587D8—2441no—
1588M16—41no—
1589M16—2441no—
1590M16—2441no—
1591M16—2441no—
1592C2×C8—41no—
1593C2×C8—611no—
1594C2×C8—611no—
1595C2×C8—611no—
1596C2×C8—611no—
1597C2×C8—2441no—
1598C2×C8—2441no—
1599C2×C8—2441no—
1600C2×C8C23×D6111yescharacteristic
1601C2×C8C23×D6111yescharacteristic
1602C2×C8C23×D6111yescharacteristic
1603C2×C8C23×D6111yescharacteristic
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—611no—
1607C4⋊C4—611no—
1608C4⋊C4—611no—
1609C4⋊C4—611no—
1610C4⋊C4—611no—
1611C4⋊C4—1221no—
1612C4⋊C4—1221no—
1613C4⋊C4—1221no—
1614C4⋊C4—1221no—
1615C4⋊C4—1221no—
1616C4⋊C4—1221no—
1617C4⋊C4—1221no—
1618C4⋊C4—1221no—
1619C4⋊C4—1221no—
1620C4⋊C4—1221no—
1621C4⋊C4—1221no—
1622C4⋊C4—1221no—
1623C4⋊C4—1221no—
1624C4⋊C4—1221no—
1625C4⋊C4—1221no—
1626C4⋊C4—1221no—
1627C4⋊C4—1221no—
1628C4⋊C4—1221no—
1629C4⋊C4D4×D6111yescharacteristic
1630C4⋊C4C23×D6111yescharacteristic
1631C4⋊C4C23×D6111yescharacteristic
1632C4⋊C4C23×D6111yescharacteristic
1633C4⋊C4C23×D6111yescharacteristic
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—611no—
1645C22⋊C4—611no—
1646C22⋊C4—611no—
1647C22⋊C4—611no—
1648C22⋊C4—611no—
1649C22⋊C4—611no—
1650C22⋊C4—1221no—
1651C22⋊C4—1221no—
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⋊C4—1221no—
1671C22⋊C4—1221no—
1672C22⋊C4—1221no—
1673C22⋊C4D4×D6111yescharacteristic
1674C22⋊C4D4×D6111yescharacteristic
1675C42—21no—
1676C42—21no—
1677C42—611no—
1678C42—611no—
1679C42—611no—
1680C42—1221no—
1681C42—1221no—
1682C42—1221no—
1683C42—1221no—
1684C42—1221no—
1685C42—1221no—
1686C42—1221no—
1687C42C23×D6111yescharacteristic
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—42no—
1692C23—42no—
1693C23—81no—
1694C23—611no—
1695C23—611no—
1696C23—611no—
1697C23—1221no—
1698C23—1221no—
1699C23—4881no—
1700C23—2441no—
1701C23—2441no—
1702C23—2441no—
1703C23—2441no—
1704C23—2441no—
1705C23—2441no—
1706C23—2442no—
1707C23—2442no—
1708C23C2×D4×D6111yescharacteristic
1709C23C2×D4×D6111yescharacteristic
1710Q8—21no—
1711Q8—21no—
1712Q8—81no—
1713Q8—612no—
1714Q8—1221no—
1715Q8—1221no—
1716Q8—1221no—
1717Q8—1221no—
1718Q8—1221no—
1719Q8—1221no—
1720Q8—1221no—
1721Q8—2442no—
1722Q8—2442no—
1723Q8—2442no—
1724D4—21no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—41no—
1730D4—42no—
1731D4—42no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—1222no—
1736D4—1222no—
1737D4—1224no—
1738D4—1221no—
1739D4—1221no—
1740D4—1221no—
1741D4—1221no—
1742D4—4881no—
1743D4—4881no—
1744D4—4881no—
1745D4—4881no—
1746D4—4881no—
1747D4—4881no—
1748D4—4881no—
1749D4—4881no—
1750D4—4881no—
1751D4—2441no—
1752D4—2442no—
1753D4—2442no—
1754D4—2442no—
1755D4—2442no—
1756D4—2442no—
1757D4—2442no—
1758D4—2442no—
1759D4—2442no—
1760D4—2442no—
1761D4—2442no—
1762D4—2442no—
1763D4—2442no—
1764D4#1451982312yes—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—42no—
1775C2×C4—42no—
1776C2×C4—81no—
1777C2×C4—611no—
1778C2×C4—611no—
1779C2×C4—611no—
1780C2×C4—611no—
1781C2×C4—611no—
1782C2×C4—1222no—
1783C2×C4—1224no—
1784C2×C4—1221no—
1785C2×C4—1221no—
1786C2×C4—1221no—
1787C2×C4—1221no—
1788C2×C4—1221no—
1789C2×C4—1221no—
1790C2×C4—1221no—
1791C2×C4—1221no—
1792C2×C4—1221no—
1793C2×C4—1221no—
1794C2×C4—1221no—
1795C2×C4—1221no—
1796C2×C4—4881no—
1797C2×C4—4881no—
1798C2×C4—4881no—
1799C2×C4—4881no—
1800C2×C4—2441no—
1801C2×C4—2441no—
1802C2×C4—2441no—
1803C2×C4—2441no—
1804C2×C4—2441no—
1805C2×C4—2442no—
1806C2×C4—2442no—
1807C2×C4—2442no—
1808C2×C4—2442no—
1809C2×C4—2442no—
1810C2×C4—2441no—
1811C2×C4—2441no—
1812C2×C4—2442no—
1813C2×C4—2442no—
1814C2×C4—2442no—
1815C2×C4—2442no—
1816C2×C4C2×D4×D6111yescharacteristic
1817C2×C4C2×D4×D6111yescharacteristic
1818C2×C4C2×D4×D6111yescharacteristic
1819C2×C4C2×D4×D6111yescharacteristic
1820C2×C4C24×D6111yescharacteristic
1821C8—21no—
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—1221no—
1826C8—1221no—
1827C8—1221no—
1828C8—1221no—
1829C22—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—22no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—84no—
1845C22—1221no—
1846C22—1221no—
1847C22—1221no—
1848C22—1221no—
1849C22—1221no—
1850C22—1221no—
1851C22—1221no—
1852C22—1221no—
1853C22—1221no—
1854C22—4884no—
1855C22—4882no—
1856C22—4882no—
1857C22—2441no—
1858C22—2441no—
1859C22—2441no—
1860C22—2441no—
1861C22—2441no—
1862C22—2441no—
1863C22C22×D4×D6111yescharacteristic
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—21no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—612no—
1874C4—1221no—
1875C4—1221no—
1876C4—1221no—
1877C4—1221no—
1878C4—1222no—
1879C4—2441no—
1880C4—2441no—
1881C4—2441no—
1882C4—2441no—
1883C4—2441no—
1884C4H(5,𝔽2)×D6111yescharacteristic
1885C4C2×#1451982311yescharacteristic
1886C2—41no—
1887C2—41no—
1888C2—42no—
1889C2—81no—
1890C2—81no—
1891C2—4881no—
1892C2—4881no—
1893C2—2441no—
1894C2—2441no—
1895C2—2441no—
1896C2#2145944911yescharacteristic
1897C2#575×D6111yescharacteristic
1898C2#2146058711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3319C2
socleC22×C61C23×D4
hypercenter#3319D61
hypocenterC61#61608
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #21459661C2semidirect
2. #21459303C2semidirect
3. #21458100C2semidirect
4. #21458046C2semidirect
5. #21458004C2semidirect
6. #21457999C2semidirect
7. #21457972C2semidirect
8. #21457756C2semidirect
9. #21457732C2semidirect
10. #21457576C2semidirect
11. #21457547C2semidirect
12. #21457482C2semidirect
13. #21457437C2semidirect
14. #21457380C2semidirect
15. #21457379C2semidirect
16. #21457346C2semidirect
17. #21457340C2semidirect
18. #21456831C2semidirect
19. #21456751C2semidirect
20. #21456659C2semidirect
21. #21456657C2semidirect
22. #21456614C2semidirect
23. #21456606C2semidirect
24. #21455966C2semidirect
25. #21455892C2semidirect
26. #21455063C2semidirect
27. #21455057C2semidirect
28. #21455039C2semidirect
29. #21455032C2semidirect
30. #21454849C2semidirect
31. C61×#3319C2semidirect
34. C2×#14519810C22semidirect
35. C2×#14519806C22semidirect
36. C2×#14519803C22semidirect
37. C2×#14519801C22semidirect
38. C2×#14519799C22semidirect
39. C2×#14519797C22semidirect
40. C2×#14519796C22semidirect
41. C2×#14519796C22semidirect
45. #16840480C22semidirect
46. #16840478C22semidirect
51. #16840430C22semidirect
55. #16840417C22semidirect
56. #16840416C22semidirect
67. #16840317C22semidirect
69. #16840309C22semidirect
72. #16840274C22semidirect
73. #16840274C22semidirect
75. #16840272C22semidirect
76. #16840272C22semidirect
83. #16840157C22semidirect
84. #16840156C22semidirect
85. #16840137C22semidirect
86. #16840133C22semidirect
87. #16840124C22semidirect
88. #16840111C22semidirect
89. #16840107C22semidirect
90. #16840105C22semidirect
91. #16840105C22semidirect
92. #16840105C22semidirect
93. #16840103C22semidirect
94. #16840102C22semidirect
95. #16840089C22semidirect
96. #16840088C22semidirect
97. #16840086C22semidirect
98. #16840084C22semidirect
99. #16840084C22semidirect
100. #16840046C22semidirect
101. #16840044C22semidirect
102. #16840040C22semidirect
103. #16840021C22semidirect
104. #16840018C22semidirect
105. #16840014C22semidirect
106. #16840013C22semidirect
107. #16840009C22semidirect
108. #16840008C22semidirect
109. #16840007C22semidirect
110. #16840003C22semidirect
111. #16840002C22semidirect
112. #16839999C22semidirect
113. #16839994C22semidirect
114. #16839992C22semidirect
115. #16839989C22semidirect
116. #16839989C22semidirect
117. #16839978C22semidirect
118. #16839977C22semidirect
119. #16839974C22semidirect
120. #16839973C22semidirect
121. #16839971C22semidirect
122. #16839971C22semidirect
123. #16839967C22semidirect
124. #16839961C22semidirect
125. #16839961C22semidirect
126. #16839961C22semidirect
127. #16839955C22semidirect
128. #16839927C22semidirect
129. #16839927C22semidirect
130. #16839926C22semidirect
131. #16839926C22semidirect
134. #16839925C22semidirect
135. #16839925C22semidirect
136. #16839925C22semidirect
137. #16839925C22semidirect
138. #16839925C22semidirect
139. #16839924C22semidirect
140. #16839922C22semidirect
141. #16839921C22semidirect
142. #16839920C22semidirect
143. #16839919C22semidirect
144. #16839914C22semidirect
145. #16839913C22semidirect
146. #16839910C22semidirect
147. #16839909C22semidirect
149. #16839908C22semidirect
150. #16839908C22semidirect
151. #16839908C22semidirect
152. #16839908C22semidirect
153. #16839906C22semidirect
154. #16839905C22semidirect
155. #16839905C22semidirect
157. #16839904C22semidirect
158. #16839904C22semidirect
159. #16839902C22semidirect
160. #16839900C22semidirect
161. #16839897C22semidirect
162. #16839872C22semidirect
163. #16839864C22semidirect
164. #16839862C22semidirect
165. #16839856C22semidirect
166. #16839856C22semidirect
167. #16839853C22semidirect
168. #16839853C22semidirect
171. #16839835C22semidirect
172. #16839834C22semidirect
173. #16839832C22semidirect
174. C8×C22⋊D61C22semidirect
175. #16839825C22semidirect
176. #16839817C22semidirect
177. #16839814C22semidirect
178. #16839770C22semidirect
179. #16839769C22semidirect
180. #16839765C22semidirect
181. #16839756C22semidirect
182. #16839755C22semidirect
183. #16839755C22semidirect
184. #16839725C22semidirect
185. #16839724C22semidirect
186. C2×#14519689C22semidirect
187. C22⋊C8×D61C22semidirect
188. C61×#555C22semidirect
190. C61×#489C22semidirect
191. C61×#485C22semidirect
192. C61×#482C22semidirect
193. C61×#474C22semidirect
194. C61×#468C22semidirect
195. C61×#466C22semidirect
196. C61×#463C22semidirect
197. C61×#449C22semidirect
198. C61×#447C22semidirect
199. C61×#442C22semidirect
200. C61×#435C22semidirect
201. C61×#418C22semidirect
202. C61×#416C22semidirect
944. #3319D61semidirect
996. #555C2×D61semidirect
1039. #489C2×D61semidirect
1047. #485C2×D61semidirect
1053. #482C2×D61semidirect
1057. #474C2×D61semidirect
1065. #468C2×D61semidirect
1069. #466C2×D61semidirect
1077. #463C2×D61semidirect
1117. #449C2×D61semidirect
1121. #447C2×D61semidirect
1123. #442C2×D61semidirect
1135. #435C2×D61semidirect
1143. #418C2×D61semidirect
1147. #416C2×D61semidirect
1152. C61#61608semidirect

Maximal subgroups

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

subgroupindex
#214596612
#214593032
#214581002
#214580462
#214580042
#214579992
#214579722
#214577562
#214577322
#214575762
#214575472
#214574822
#214574372
#214573802
#214573792
#214573462
#214573402
#214568312
#214567512
#214566592
#214566572
#214566142
#214566062
#214559662
#214558922
#214550632
#214550572
#214550392
#214550322
#214548492
C61×#33192
#6160861