Finite Group Databasebeta

← #30556779

Subgroups — #30556779

Order 15616.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459372C211yesmaximal, characteristic, complemented
2D4×#11758224C211yesmaximal, characteristic, complemented
3#21458008C211yesmaximal, characteristic, complemented
4#21457992C211yesmaximal, characteristic, complemented
5#21457976C211yesmaximal, characteristic, complemented
6#21457960C211yesmaximal, characteristic, complemented
7#21457952C211yesmaximal, characteristic, complemented
8#21457936C211yesmaximal, characteristic, complemented
9#21457920C211yesmaximal, characteristic, complemented
10#21457904C211yesmaximal, characteristic, complemented
11#21457880C211yesmaximal, characteristic, complemented
12#21457864C211yesmaximal, characteristic, complemented
13#21457848C211yesmaximal, characteristic, complemented
14#21457824C211yesmaximal, characteristic, complemented
15#21457808C211yesmaximal, characteristic, complemented
16#21457792C211yesmaximal, characteristic, complemented
17#21457776C211yesmaximal, characteristic, complemented
18#21456163C211yesmaximal, characteristic, complemented
19#21455731C211yesmaximal, characteristic, complemented
20#21455727C211yesmaximal, characteristic, complemented
21#21455604C211yesmaximal, characteristic, complemented
22#21455423C211yesmaximal, characteristic, complemented
23#21455395C211yesmaximal, characteristic, complemented
24#21455269C211yesmaximal, characteristic, complemented
25#21455038C211yesmaximal, characteristic, complemented
26#21455038C211yesmaximal, characteristic, complemented
27#21454614C211yesmaximal, characteristic, complemented
28#435×D61C211yesmaximal, characteristic, complemented
29#21454333C211yesmaximal, characteristic, complemented
30C2×#16839755C211yesmaximal, characteristic, complemented
31C61×#3310C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic
33C22×#11758224C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35C2×#14519798C2211yescharacteristic, complemented
36C2×#14519798C2211yescharacteristic, complemented
37C2×M16×D61C2211yescharacteristic, complemented
38C22×C8×D61C2211yescharacteristic, complemented
39#16840483C2211yescharacteristic, complemented
40#16840475C2211yescharacteristic, complemented
41#16840470C2211yescharacteristic, complemented
42#16840465C2211yescharacteristic, complemented
43#16840458C2211yescharacteristic
44#16840453C2211yescharacteristic, complemented
45#16840444—21no—
46#16840437—21no—
47#16840436—21no—
48#16840432C2211yescharacteristic
49D4×Dic122C2211yescharacteristic
50#16840418C2211yescharacteristic
51#16840418C2211yescharacteristic
52#16840416C2211yescharacteristic
53#16840413C2211yescharacteristic, complemented
54#16840412—21no—
55#16840406C2211yescharacteristic
56#16840406C2211yescharacteristic
57#16840404—21no—
58#16840399—21no—
59#16840399—21no—
60D4×C22⋊D61—21no—
61#16840318C2211yescharacteristic, complemented
62#16840310C2211yescharacteristic
63#16840307—21no—
64#16840297—21no—
65#16840295—21no—
66#16840289—21no—
67#16840275C2211yescharacteristic, complemented
68#16840275C2211yescharacteristic, complemented
69#16840272C2211yescharacteristic
70#16840272C2211yescharacteristic
71#16840268—21no—
72#16840268—21no—
73C4×#11758226C2211yescharacteristic, complemented
74#16840230—21no—
75C4×#11758224C2211yescharacteristic
76C2×D4×Dic61—21no—
77C4×D4×D61C2211yescharacteristic
78C2×#14519735C2211yescharacteristic, complemented
79#117×D61C2211yescharacteristic, complemented
80#16840132C2211yescharacteristic, complemented
81#16840131C2211yescharacteristic, complemented
82#16840126C2211yescharacteristic, complemented
83#16840120C2211yescharacteristic, complemented
84#16840120C2211yescharacteristic, complemented
85#16840120C2211yescharacteristic, complemented
86#16840120C2211yescharacteristic, complemented
87#16840105C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840104C2211yescharacteristic, complemented
90#16840103C2211yescharacteristic, complemented
91#16840099C2211yescharacteristic, complemented
92#16840098C2211yescharacteristic, complemented
93#16840094C2211yescharacteristic, complemented
94#16840092C2211yescharacteristic, complemented
95#16840084C2211yescharacteristic, complemented
96#16840084C2211yescharacteristic, complemented
97#16840083C2211yescharacteristic, complemented
98#16840079C2211yescharacteristic, complemented
99#16840078C2211yescharacteristic, complemented
100#16840074C2211yescharacteristic, complemented
101#16840070C2211yescharacteristic, complemented
102#16840066C2211yescharacteristic, complemented
103#16840062C2211yescharacteristic, complemented
104#16840056C2211yescharacteristic, complemented
105#16840050C2211yescharacteristic, complemented
106#16840046C2211yescharacteristic, complemented
107#16840040C2211yescharacteristic, complemented
108#16840019C2211yescharacteristic, complemented
109#16840018C2211yescharacteristic, complemented
110#16840014C2211yescharacteristic, complemented
111#16840013C2211yescharacteristic, complemented
112#16840009C2211yescharacteristic, complemented
113#16840008C2211yescharacteristic, complemented
114#16840005C2211yescharacteristic, complemented
115#16840002C2211yescharacteristic, complemented
116#16840001C2211yescharacteristic, complemented
117#16839997C2211yescharacteristic, complemented
118#16839996C2211yescharacteristic, complemented
119#16839992C2211yescharacteristic, complemented
120#16839991C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839982C2211yescharacteristic, complemented
123#16839982C2211yescharacteristic, complemented
124#16839976C2211yescharacteristic, complemented
125#16839976C2211yescharacteristic, complemented
126#16839972C2211yescharacteristic, complemented
127#16839968C2211yescharacteristic, complemented
128#16839954C2211yescharacteristic, complemented
129#16839921C2211yescharacteristic, complemented
130#16839921C2211yescharacteristic, complemented
131#16839921C2211yescharacteristic, complemented
132#16839921C2211yescharacteristic, complemented
133#16839917C2211yescharacteristic, complemented
134#16839917C2211yescharacteristic, complemented
135#16839908C2211yescharacteristic, complemented
136#16839908C2211yescharacteristic, complemented
137#16839908C2211yescharacteristic, complemented
138#16839908C2211yescharacteristic, complemented
139#16839903C2211yescharacteristic, complemented
140#16839903C2211yescharacteristic, complemented
141#16839896C2211yescharacteristic, complemented
142#16839896C2211yescharacteristic, complemented
143#16839872C2211yescharacteristic, complemented
144#16839871C2211yescharacteristic, complemented
145#16839867C2211yescharacteristic, complemented
146#16839866C2211yescharacteristic, complemented
147#16839864C2211yescharacteristic, complemented
148#16839863C2211yescharacteristic, complemented
149#16839861C2211yescharacteristic, complemented
150#16839836C2211yescharacteristic, complemented
151#16839835C2211yescharacteristic, complemented
152#16839834C2211yescharacteristic
153#16839833C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic, complemented
155#16839831C2211yescharacteristic, complemented
156#16839830C2211yescharacteristic, complemented
157#16839799C2211yescharacteristic, complemented
158#16839799C2211yescharacteristic, complemented
159#16839797C2211yescharacteristic, complemented
160C4⋊C8×D61C2211yescharacteristic, complemented
161#16839772C2211yescharacteristic, complemented
162#16839770C2211yescharacteristic, complemented
163#16839767C2211yescharacteristic, complemented
164#16839760C2211yescharacteristic, complemented
165#16839760C2211yescharacteristic, complemented
166#16839760C2211yescharacteristic, complemented
167#16839760C2211yescharacteristic, complemented
168#16839757C2211yescharacteristic, complemented
169#16839755C2211yescharacteristic
170#16839755C2211yescharacteristic
171#16839755C2211yescharacteristic
172#16839755C2211yescharacteristic, complemented
173#16839755C2211yescharacteristic, complemented
174#16839755C2211yescharacteristic, complemented
175#16839755C2211yescharacteristic, complemented
176#16839755C2211yescharacteristic, complemented
177#16839755C2211yescharacteristic, complemented
178#16839755C2211yescharacteristic, complemented
179#16839755C2211yescharacteristic, complemented
180#16839755C2211yescharacteristic, complemented
181#16839755C2211yescharacteristic, complemented
182C2×#14519702C2211yescharacteristic, complemented
183C2×#14519700C2211yescharacteristic, complemented
184C2×#14519698C2211yescharacteristic, complemented
185C22⋊C8×D61C2211yescharacteristic, complemented
186C22⋊C8×D61C2211yescharacteristic, complemented
187#97×D61C2211yescharacteristic, complemented
188C61×#552C2211yescharacteristic
189D42×C61C2211yescharacteristic
190C61×#490C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#480C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic, complemented
197C61×#450C2211yescharacteristic, complemented
198C61×#450C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic
201C61×#418C2211yescharacteristic, complemented
202C2×#102×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758224—24no—
206C2×#11758224—24no—
207C2×#11758224—21no—
208C2×#11758224—21no—
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224—42no—
212C2×#11758224—42no—
213C2×#11758224C2311yescharacteristic
214C2×#11758224C2311yescharacteristic
215C2×#11758224C2311yescharacteristic
216C2×#11758224C2311yescharacteristic
217C2×#11758224C2311yescharacteristic
218C2×#11758224C2311yescharacteristic
219C2×#11758224C2311yescharacteristic
220C22×Dic122C2311yescharacteristic
221C22×Dic122C2311yescharacteristic
222C22×C22⋊D61—21no—
223C22×C22⋊D61—21no—
224C2×D4×D61D411yescharacteristic
225C23×Dic61—21no—
226C23×Dic61—21no—
227C22×C4×D61C2311yescharacteristic
228C22×C4×D61C2311yescharacteristic
229#14519798—24no—
230#14519798—42no—
231#14519798—42no—
232C2×#11758202C2311yescharacteristic
233C2×#11758202C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758190C2311yescharacteristic
236C2×#11758190C2311yescharacteristic
237C2×#11758190C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758199C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241C2×#11758194C2311yescharacteristic
242C2×#11758189C2311yescharacteristic
243C2×#11758189C2311yescharacteristic
244M16×D61—42no—
245C22×#92418C2311yescharacteristic
246C2×C8×D61—42no—
247C2×C8×D61C2311yescharacteristic
248C2×C8×D61C2311yescharacteristic
249C2×C8×D61C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253#14519777C2311yescharacteristic
254#14519776—21no—
255#14519776C2311yescharacteristic
256#14519776C2311yescharacteristic
257#14519773—21no—
258#14519772—21no—
259#14519772—21no—
260#14519772—21no—
261#14519771—21no—
262#14519770—21no—
263#14519769C2311yescharacteristic
264#14519767—21no—
265#14519767—21no—
266#14519765—21no—
267#14519764C2311yescharacteristic
268#14519764C2311yescharacteristic
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519762—21no—
274#14519762—21no—
275#14519762—21no—
276#14519762—21no—
277#14519762—21no—
278#14519761—21no—
279#14519761—21no—
280#14519760—21no—
281#14519759—21no—
282#14519759—21no—
283#14519759—21no—
284#14519758—21no—
285#14519758—21no—
286#14519757—21no—
287#14519757C2311yescharacteristic
288#14519757C2311yescharacteristic
289#14519756C2311yescharacteristic
290#14519756C2311yescharacteristic
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519753C2311yescharacteristic
300#14519753C2311yescharacteristic
301#14519752—21no—
302#14519752C2311yescharacteristic
303#14519752C2311yescharacteristic
304#14519751—21no—
305#14519751C2311yescharacteristic
306#14519751C2311yescharacteristic
307#14519750—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749—21no—
311#14519749—21no—
312#14519749—21no—
313#14519749—21no—
314#14519749—21no—
315#14519748—21no—
316#14519748—21no—
317#14519748C2311yescharacteristic
318#14519748C2311yescharacteristic
319#14519747—21no—
320#14519747—21no—
321#14519746—21no—
322#14519746—21no—
323#14519745—21no—
324#14519745—21no—
325Q8×Dic61C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327#14519742—21no—
328#14519742—21no—
329#14519742—21no—
330#14519742C2311yescharacteristic
331C4×D244—21no—
332C4×D244C2311yescharacteristic
333C4×D244C2311yescharacteristic
334D4×Dic61—21no—
335D4×Dic61—21no—
336D4×Dic61—21no—
337D4×Dic61—21no—
338D4×Dic61—21no—
339D4×Dic61—21no—
340D4×Dic61—21no—
341D4×Dic61—21no—
342D4×Dic61D411yescharacteristic
343D4×Dic61C2311yescharacteristic
344#14519739—21no—
345#14519739—21no—
346#14519739—21no—
347#14519739—21no—
348#14519739D411yescharacteristic
349#14519739C2311yescharacteristic
350C4×C22⋊D61—21no—
351C4×C22⋊D61C2311yescharacteristic
352C4×C22⋊D61C2311yescharacteristic
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519737—21no—
359#14519737—21no—
360#14519737D411yescharacteristic
361#14519737D411yescharacteristic
362#14519736C2311yescharacteristic
363#14519735—21no—
364#14519735—21no—
365#14519735—21no—
366#14519735C2311yescharacteristic
367#14519735C2311yescharacteristic
368#14519735C2311yescharacteristic
369#14519735C2311yescharacteristic
370#14519735C2311yescharacteristic
371#14519735C2311yescharacteristic
372#14519734—21no—
373#14519734—21no—
374#14519734—21no—
375#14519733—21no—
376#14519733—21no—
377C2×C4⋊Dic61—21no—
378C2×C4⋊Dic61C2311yescharacteristic
379C4⋊C4×D61D411yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic
382C2×C22⋊Dic61—21no—
383C2×C22⋊Dic61—21no—
384C2×#11758198—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61D411yescharacteristic
387C22⋊C4×D61D411yescharacteristic
388C2×C4×Dic61—21no—
389C2×C4×Dic61—21no—
390C42×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519698C2311yescharacteristic
433#14519698C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519687C2311yescharacteristic
443#14519687C2311yescharacteristic
444C22×D4×C61—21no—
445C22×D4×C61C2311yescharacteristic
446C22×D4×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×M16×C61C2311yescharacteristic
451C22×C8×C61C2311yescharacteristic
452#127×C61C2311yescharacteristic
453#126×C61—21no—
454#125×C61—21no—
455#125×C61C2311yescharacteristic
456#123×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459#121×C61—21no—
460#121×C61C2311yescharacteristic
461#121×C61C2311yescharacteristic
462#120×C61—21no—
463#120×C61—21no—
464C4×Q8×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61—21no—
468#117×C61C2311yescharacteristic
469C2×C4⋊C4×C61C2311yescharacteristic
470#107×C61C2311yescharacteristic
471#107×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487C24×C61—21no—
488C24×C61—21no—
489C23×D61C2×D411yescharacteristic
490C23×D61C2×D411yescharacteristic
491C2×Q8×C61C2411yescharacteristic
492C2×D4×C61—22no—
493C2×D4×C61—22no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—41no—
501C2×D4×C61—41no—
502C2×D4×C61—44no—
503C2×D4×C61C2×D411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61C2411yescharacteristic
510C22×C4×C61C2411yescharacteristic
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—44no—
523C2×C22⋊D61—44no—
524C2×C22⋊D61C2×D411yescharacteristic
525C2×C22⋊D61C2×D411yescharacteristic
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61—21no—
530C22×Dic61—21no—
531C22×Dic61—21no—
532C22×Dic61—21no—
533C22×Dic61—21no—
534C22×Dic61—21no—
535C22×Dic61—21no—
536C22×Dic61—21no—
537C22×Dic61—44no—
538C22×Dic61—44no—
539C22×Dic61C2×D411yescharacteristic
540C22×Dic61C2×D411yescharacteristic
541#11758226—22no—
542#11758226—22no—
543#11758224—22no—
544#11758224—22no—
545#11758224—22no—
546#11758224—22no—
547#11758224—22no—
548#11758224—22no—
549#11758224—22no—
550#11758224—22no—
551#11758224—22no—
552#11758224—41no—
553#11758224—41no—
554#11758224—41no—
555#11758224—41no—
556#11758224—44no—
557#11758224—44no—
558#11758224—44no—
559#11758224—44no—
560#11758224#4114yescomplemented
561D4×D61—42no—
562#11758222—44no—
563C2×D244—21no—
564C2×D244—21no—
565C2×D244—21no—
566C2×D244C2×D411yescharacteristic
567C2×D244C2411yescharacteristic
568C2×C4×D61—22no—
569C2×C4×D61—22no—
570C2×C4×D61—22no—
571C2×C4×D61—22no—
572C2×C4×D61—21no—
573C2×C4×D61—21no—
574C2×C4×D61—21no—
575C2×C4×D61—21no—
576C2×C4×D61—21no—
577C2×C4×D61C2×D411yescharacteristic
578C2×C4×D61C2×D411yescharacteristic
579C2×C4×D61C2×D411yescharacteristic
580C2×C4×D61C2×D411yescharacteristic
581C2×C4×D61C2×D411yescharacteristic
582C2×C4×D61C2×D411yescharacteristic
583C2×C4×D61C2411yescharacteristic
584C2×C4×D61C2411yescharacteristic
585C2×C4×D61C2411yescharacteristic
586C2×Dic122—22no—
587C2×Dic122—22no—
588C2×Dic122—21no—
589C2×Dic122—21no—
590C2×Dic122—21no—
591C2×Dic122—21no—
592C2×Dic122—41no—
593C2×Dic122—41no—
594C2×Dic122C2411yescharacteristic
595C2×Dic122C2411yescharacteristic
596C2×Dic122C2411yescharacteristic
597SD16×C61—22no—
598SD16×C61—41no—
599SD16×C61—41no—
600M16×C61—41no—
601C2×C8×C61—41no—
602C2×C8×C61C2411yescharacteristic
603C2×C8×C61C2411yescharacteristic
604C2×C8×C61C2411yescharacteristic
605C2×C8×C61C2411yescharacteristic
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61—21no—
609C4⋊C4×C61—21no—
610C4⋊C4×C61—21no—
611C4⋊C4×C61—21no—
612C4⋊C4×C61C2×D411yescharacteristic
613C4⋊C4×C61C2411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C4⋊C4×C61C2411yescharacteristic
616C4⋊C4×C61C2411yescharacteristic
617C22⋊C4×C61—21no—
618C22⋊C4×C61—21no—
619C22⋊C4×C61—21no—
620C22⋊C4×C61—21no—
621C22⋊C4×C61—21no—
622C22⋊C4×C61—21no—
623C22⋊C4×C61C2×D411yescharacteristic
624C22⋊C4×C61C2×D411yescharacteristic
625C42×C61—21no—
626C42×C61—21no—
627C42×C61C2411yescharacteristic
628C22⋊Dic61—21no—
629C22⋊Dic61—21no—
630C22⋊Dic61—21no—
631C22⋊Dic61—21no—
632C22⋊Dic61—21no—
633C22⋊Dic61—21no—
634C22⋊Dic61—21no—
635C22⋊Dic61—21no—
636C22⋊Dic61—21no—
637C22⋊Dic61—21no—
638C22⋊Dic61C2×D411yescharacteristic
639C22⋊Dic61C2×D411yescharacteristic
640#11758202—22no—
641#11758202—41no—
642#11758202—41no—
643#11758199—22no—
644#11758199—41no—
645#11758199—41no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198C2×D411yescharacteristic
663#11758198C2×D411yescharacteristic
664#11758198C2×D411yescharacteristic
665#11758198C2×D411yescharacteristic
666C4⋊Dic61—21no—
667C4⋊Dic61—21no—
668C4⋊Dic61—21no—
669C4⋊Dic61—21no—
670C4⋊Dic61—21no—
671C4⋊Dic61—21no—
672C4⋊Dic61C2×D411yescharacteristic
673C4⋊Dic61C2411yescharacteristic
674C4⋊Dic61C2411yescharacteristic
675C4⋊Dic61C2411yescharacteristic
676C4⋊Dic61C2411yescharacteristic
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196C2×D411yescharacteristic
690#11758196C2×D411yescharacteristic
691C4×Dic61—21no—
692C4×Dic61—21no—
693C4×Dic61—21no—
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61C2×D411yescharacteristic
702C4×Dic61C2×D411yescharacteristic
703C4×Dic61C2411yescharacteristic
704#11758194—41no—
705C2×#92418—41no—
706C2×#92418C2411yescharacteristic
707C2×#92418C2411yescharacteristic
708C2×#92418C2411yescharacteristic
709C2×#92418C2411yescharacteristic
710#11758190—22no—
711#11758190—41no—
712#11758190—41no—
713#11758189—41no—
714#11758189—41no—
715C8×D61—22no—
716C8×D61—22no—
717C8×D61—22no—
718C8×D61—22no—
719C8×D61—41no—
720C8×D61—41no—
721C23×C61—21no—
722C23×C61—21no—
723C23×C61—21no—
724C23×C61—42no—
725C23×C61—42no—
726C23×C61—42no—
727C23×C61—42no—
728C23×C61—81no—
729C23×C61—81no—
730C23×C61C22×D411yescharacteristic
731C23×C61C22×D411yescharacteristic
732C22×D61—22no—
733C22×D61—22no—
734C22×D61—22no—
735C22×D61—21no—
736C22×D61—41no—
737C22×D61—41no—
738C22×D61—41no—
739C22×D61C22×D411yescharacteristic
740C22×D61C22×D411yescharacteristic
741C22×D61C22×D411yescharacteristic
742Q8×C61—21no—
743Q8×C61—21no—
744D4×C61—22no—
745D4×C61—21no—
746D4×C61—21no—
747D4×C61—21no—
748D4×C61—21no—
749D4×C61—21no—
750D4×C61—42no—
751D4×C61—42no—
752D4×C61—42no—
753D4×C61—42no—
754D4×C61—42no—
755D4×C61—81no—
756D4×C61C2×#4112yes—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—42no—
767C2×C4×C61—42no—
768C2×C4×C61C22×D411yescharacteristic
769C2×C4×C61C22×D411yescharacteristic
770C2×C4×C61C22×D411yescharacteristic
771C2×C4×C61C22×D411yescharacteristic
772C2×C4×C61C2511yescharacteristic
773C22⋊D61—22no—
774C22⋊D61—24no—
775C22⋊D61—41no—
776C22⋊D61—42no—
777C22⋊D61—42no—
778C22⋊D61—42no—
779C22⋊D61—42no—
780C22⋊D61—42no—
781C22⋊D61—42no—
782C22⋊D61—42no—
783C22⋊D61—81no—
784C22⋊D61—81no—
785C22⋊D61—81no—
786C2×Dic61—21no—
787C2×Dic61—22no—
788C2×Dic61—22no—
789C2×Dic61—24no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—42no—
797C2×Dic61—42no—
798C2×Dic61—42no—
799C2×Dic61—42no—
800C2×Dic61—42no—
801C2×Dic61—42no—
802C2×Dic61—42no—
803C2×Dic61—42no—
804C2×Dic61—81no—
805C2×Dic61—81no—
806C2×Dic61C22×D411yescharacteristic
807C2×Dic61C22×D411yescharacteristic
808C2×Dic61C22×D411yescharacteristic
809C2×Dic61C22×D411yescharacteristic
810C2×Dic61C22×D411yescharacteristic
811D244—21no—
812D244—21no—
813D244—41no—
814D244—42no—
815D244—42no—
816D244—81no—
817C4×D61—22no—
818C4×D61—22no—
819C4×D61—21no—
820C4×D61—21no—
821C4×D61—21no—
822C4×D61—21no—
823C4×D61—22no—
824C4×D61—22no—
825C4×D61—41no—
826C4×D61—41no—
827C4×D61—42no—
828C4×D61—42no—
829C4×D61—42no—
830C4×D61—81no—
831C4×D61—81no—
832C4×D61C2×#4112yes—
833C4×D61H(5,𝔽2)12yes—
834Dic122—21no—
835Dic122—21no—
836Dic122—21no—
837Dic122—21no—
838Dic122—21no—
839Dic122—42no—
840Dic122—42no—
841Dic122—42no—
842Dic122—81no—
843Dic122C2×#4112yes—
844C8×C61—21no—
845C8×C61—21no—
846C8×C61—21no—
847C8×C61—21no—
848#92418—21no—
849#92418—21no—
850#92418—21no—
851#92418—21no—
852#61141—611nomaximal, Sylow
853C22×C61—21no—
854C22×C61—21no—
855C22×C61—21no—
856C22×C61—22no—
857C22×C61—21no—
858C22×C61—21no—
859C22×C61—41no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61—41no—
865C22×C61—41no—
866C22×C61—41no—
867C22×C61—84no—
868C22×C61—84no—
869C22×C61#57512yes—
870C22×C61C23×D411yescharacteristic
871C2×D61—21no—
872C2×D61—21no—
873C2×D61—21no—
874C2×D61—21no—
875C2×D61—21no—
876C2×D61—21no—
877C2×D61—21no—
878C2×D61—21no—
879C2×D61—44no—
880C2×D61—41no—
881C2×D61—41no—
882C2×D61—41no—
883C2×D61—82no—
884C2×D61#54612yes—
885C4×C61—21no—
886C4×C61—21no—
887C4×C61—21no—
888C4×C61—21no—
889C4×C61—41no—
890C4×C61—41no—
891C4×C61—41no—
892C4×C61—41no—
893C4×C61—41no—
894C4×C61C22×#4111yescharacteristic
895C4×C61C2×H(5,𝔽2)11yescharacteristic
896Dic61—21no—
897Dic61—22no—
898Dic61—21no—
899Dic61—21no—
900Dic61—21no—
901Dic61—41no—
902Dic61—41no—
903Dic61—41no—
904Dic61—41no—
905Dic61—41no—
906Dic61—41no—
907Dic61#54612yes—
908#3475—611no—
909D4×#41—611no—
910#3321—611no—
911#3320—611no—
912#3319—611no—
913#3318—611no—
914#3317—611no—
915#3316—611no—
916#3315—611no—
917#3314—611no—
918#3313—611no—
919#3312—611no—
920#3311—611no—
921#3310D6111yescharacteristic, complemented
922#3309—611no—
923#3308—611no—
924#3307—611no—
925#3306—611no—
926#3135—611no—
927#3091—611no—
928#3091—611no—
929#3076—611no—
930#3054—611no—
931#3050—611no—
932#3035—611no—
933#3002—611no—
934#3002—611no—
935#2943—611no—
936C2×#435—611no—
937#2896—611no—
938C2×#416—611no—
939C2×C61—22no—
940C2×C61—41no—
941C2×C61—42no—
942C2×C61—81no—
943C2×C61—81no—
944C2×C61C2×#54611yescharacteristic
945C2×C61C2×#57511yescharacteristic
946C2×C61#358411yescharacteristic
947D61—22no—
948D61—41no—
949D61—41no—
950D61—81no—
951C22×#41—611no—
952C22×#41—611no—
953C2×#135—611no—
954C2×#135—611no—
955C2×#135—611no—
956C22×M16—611no—
957C23×C8—611no—
958#556—611no—
959#555—611no—
960#554—611no—
961#553—611no—
962#553—611no—
963#552—611no—
964#552—1221no—
965#552C2×D6111yescharacteristic
966#551—1221no—
967#551—1221no—
968#550—611no—
969D4×Q8—611no—
970#548—611no—
971#548—611no—
972#547—611no—
973#547—611no—
974#547—1221no—
975#546—611no—
976#546—611no—
977#546—1221no—
978#546—1221no—
979#546—1221no—
980D42—1221no—
981D42C2×D6111yescharacteristic
982#533—611no—
983#532—611no—
984#532—1221no—
985#529—1221no—
986#529—1221no—
987#529—1221no—
988#525—611no—
989#525—611no—
990#525—611no—
991#525—611no—
992#525—1221no—
993#525—1221no—
994C4×#41—611no—
995C4×#41—611no—
996C4×#41—1221no—
997C2×C4×D4—611no—
998C2×C4×D4—1221no—
999C2×#117—611no—
1000C2×#117—611no—
1001#491—611no—
1002#491—611no—
1003#490—611no—
1004#490C2×D6111yescharacteristic, complemented
1005#489—611no—
1006#489—611no—
1007#489—611no—
1008#489—611no—
1009#485—611no—
1010#485—611no—
1011#485—611no—
1012#485—611no—
1013#484—611no—
1014#484—611no—
1015#483—611no—
1016#483—611no—
1017#482—611no—
1018#482—611no—
1019#482—611no—
1020#482C2×D6111yescharacteristic, complemented
1021#481—611no—
1022#481—611no—
1023#480—611no—
1024#480C2×D6111yescharacteristic, complemented
1025#479—611no—
1026#479—611no—
1027#478—611no—
1028#478C2×D6111yescharacteristic, complemented
1029#477—611no—
1030#476—611no—
1031#475—611no—
1032#474—611no—
1033#470—611no—
1034#470—611no—
1035#469—611no—
1036#469—611no—
1037#468—611no—
1038#468—611no—
1039#468—611no—
1040#468C2×D6111yescharacteristic, complemented
1041#467—611no—
1042#467—611no—
1043#466—611no—
1044#466—611no—
1045#465—611no—
1046#465—611no—
1047#465—611no—
1048#465C2×D6111yescharacteristic, complemented
1049#464—611no—
1050#464—611no—
1051#463—611no—
1052#463—611no—
1053#462—611no—
1054#461—611no—
1055#460C2×D6111yescharacteristic, complemented
1056#459—611no—
1057#452—611no—
1058#452—611no—
1059#452—611no—
1060#452—611no—
1061#451—611no—
1062#451—611no—
1063#450C2×D6111yescharacteristic, complemented
1064#450C2×D6111yescharacteristic, complemented
1065#449—611no—
1066#449—611no—
1067#449—611no—
1068#449—611no—
1069#448—611no—
1070#448—611no—
1071#447—611no—
1072#447—611no—
1073#442—611no—
1074#442—611no—
1075#441—611no—
1076#441—611no—
1077#440—611no—
1078#440—611no—
1079#440—611no—
1080#440C2×D6111yescharacteristic, complemented
1081#435—611no—
1082#435—611no—
1083#435—611no—
1084#435—611no—
1085#435—611no—
1086#435—611no—
1087#435—611no—
1088#435C2×D6111yescharacteristic
1089#427—611no—
1090#427—611no—
1091#427—611no—
1092C2×C4⋊C8—611no—
1093#419—611no—
1094#419—611no—
1095#418—611no—
1096#418C2×D6111yescharacteristic, complemented
1097#417—611no—
1098#417—611no—
1099#417—611no—
1100#417—611no—
1101#416—611no—
1102#416—611no—
1103#416—611no—
1104#416—611no—
1105#416—611no—
1106#416—611no—
1107#416—611no—
1108#416—611no—
1109#416—611no—
1110#416—611no—
1111#416—611no—
1112#416—611no—
1113#416—611no—
1114#416—611no—
1115C2×#103—611no—
1116C2×#103—611no—
1117C2×#102—611no—
1118C2×#102C2×D6111yescharacteristic, complemented
1119C2×C22⋊C8—611no—
1120C2×C22⋊C8—611no—
1121C2×#97—611no—
1122C61#6114111yescharacteristic, complemented, Sylow
1123C2×#41—611no—
1124C2×#41—611no—
1125C2×#41—611no—
1126C2×#41—611no—
1127C2×#41—611no—
1128C2×#41—611no—
1129C2×#41—611no—
1130C2×#41—611no—
1131C2×#41—1221no—
1132C2×#41—1221no—
1133C2×#41—1221no—
1134C2×#41—1221no—
1135C2×#41—1221no—
1136C2×#41—1224no—
1137C2×#41—1224no—
1138C2×#41—2442no—
1139C2×#41—2442no—
1140C22×Q8—611no—
1141C22×Q8—611no—
1142C22×D4—21no—
1143C22×D4—611no—
1144C22×D4—1221no—
1145C22×D4—1221no—
1146C22×D4C22×D6111yescharacteristic
1147C22×D4C22×D6111yescharacteristic
1148C23×C4—611no—
1149C23×C4—611no—
1150C23×C4—1221no—
1151C23×C4—1221no—
1152#135—1224no—
1153#135—2442no—
1154#135—2442no—
1155C2×Q16—611no—
1156C2×Q16—611no—
1157C2×Q16—611no—
1158C2×SD16—611no—
1159C2×SD16—611no—
1160C2×SD16—611no—
1161C2×SD16C22×D6111yescharacteristic
1162C2×SD16C22×D6111yescharacteristic
1163C2×SD16C22×D6111yescharacteristic
1164C2×D8—611no—
1165C2×D8—611no—
1166C2×D8—611no—
1167C2×M16—611no—
1168C2×M16—611no—
1169C2×M16—611no—
1170C2×M16—2442no—
1171C2×M16C22×D6111yescharacteristic
1172C22×C8—611no—
1173C22×C8—611no—
1174C22×C8—611no—
1175C22×C8—611no—
1176C22×C8—611no—
1177C22×C8—611no—
1178C22×C8—611no—
1179C22×C8—2442no—
1180C22×C8C22×D6111yescharacteristic
1181C4⋊Q8—611no—
1182C4⋊Q8—611no—
1183C4⋊Q8—611no—
1184C4⋊Q8—1221no—
1185#127—1221no—
1186#127C22×D6111yescharacteristic
1187#126—21no—
1188#126—1221no—
1189#126—1221no—
1190#126—1221no—
1191#126—1221no—
1192#126—1221no—
1193#125—21no—
1194#125—611no—
1195#125—1221no—
1196#125—1221no—
1197#125C22×D6111yescharacteristic
1198#124—611no—
1199#124—611no—
1200#124—1221no—
1201#124—1221no—
1202#124—1221no—
1203#124—1221no—
1204#124—1221no—
1205#123—21no—
1206#123—1221no—
1207#123—1221no—
1208#123—1221no—
1209#123—1221no—
1210#123—1221no—
1211#123—1221no—
1212#123—1221no—
1213#123—1221no—
1214#123—1221no—
1215#123—1221no—
1216#123—1221no—
1217#123—1221no—
1218#123—1221no—
1219C22⋊Q8—611no—
1220C22⋊Q8—611no—
1221C22⋊Q8—611no—
1222C22⋊Q8—611no—
1223C22⋊Q8—611no—
1224C22⋊Q8—611no—
1225C22⋊Q8—1221no—
1226C22⋊Q8—1221no—
1227C22⋊Q8—1221no—
1228C22⋊Q8—1221no—
1229C22⋊Q8—1221no—
1230C22⋊Q8—1221no—
1231C22⋊Q8—1221no—
1232C22⋊Q8—1221no—
1233C22⋊Q8—1221no—
1234C22⋊Q8C22×D6111yescharacteristic
1235C22⋊Q8C22×D6111yescharacteristic
1236#121—21no—
1237#121—611no—
1238#121—611no—
1239#121—611no—
1240#121—611no—
1241#121—611no—
1242#121—611no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121—1221no—
1251#121—1221no—
1252#121—1221no—
1253#121—1221no—
1254#121—1221no—
1255#121C22×D6111yescharacteristic
1256#121C22×D6111yescharacteristic
1257#120—21no—
1258#120—21no—
1259#120—1221no—
1260#120—1221no—
1261#120—1221no—
1262#120—1221no—
1263#120—1221no—
1264#120—1221no—
1265C4×Q8—611no—
1266C4×Q8—611no—
1267C4×Q8—611no—
1268C4×Q8—1221no—
1269C4×Q8—1221no—
1270C4×Q8—1221no—
1271C4×Q8C22×D6111yescharacteristic
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—611no—
1280C4×D4—611no—
1281C4×D4—611no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4—1221no—
1297C4×D4—1221no—
1298C4×D4—1221no—
1299C4×D4—1221no—
1300C4×D4—1221no—
1301C4×D4—1221no—
1302C4×D4—1221no—
1303C4×D4C22×D6111yescharacteristic
1304C4×D4C22×D6111yescharacteristic
1305#117—21no—
1306#117—611no—
1307#117—611no—
1308#117—611no—
1309#117—611no—
1310#117—611no—
1311#117—611no—
1312#117—611no—
1313#117—1221no—
1314#117—1221no—
1315#117—1221no—
1316#117—1221no—
1317#117—1221no—
1318#117—1221no—
1319#117—1221no—
1320#117—1221no—
1321#117C22×D6111yescharacteristic
1322C2×C4⋊C4—611no—
1323C2×C4⋊C4—611no—
1324C2×C4⋊C4—611no—
1325C2×C4⋊C4—611no—
1326C2×C4⋊C4—1221no—
1327C2×C4⋊C4C22×D6111yescharacteristic
1328C2×C22⋊C4—611no—
1329C2×C22⋊C4—611no—
1330C2×C22⋊C4—1221no—
1331C2×C22⋊C4—1221no—
1332C2×C22⋊C4—1221no—
1333C2×C22⋊C4—1221no—
1334C2×C42—611no—
1335C2×C42—1221no—
1336C2×C42—1221no—
1337C2×C42—1221no—
1338C2×C42—1221no—
1339#107—611no—
1340#107—611no—
1341#107—611no—
1342#107—611no—
1343#107C22×D6111yescharacteristic
1344#107C22×D6111yescharacteristic
1345#106—611no—
1346#106—611no—
1347#106—611no—
1348#106—611no—
1349#106—611no—
1350#106C22×D6111yescharacteristic
1351C4⋊C8—611no—
1352C4⋊C8—611no—
1353C4⋊C8—611no—
1354C4⋊C8C22×D6111yescharacteristic
1355#103—611no—
1356#103—611no—
1357#103—611no—
1358#103—611no—
1359#103—611no—
1360#103—611no—
1361#103—611no—
1362#103—611no—
1363#103—611no—
1364#103—611no—
1365#103—611no—
1366#103—611no—
1367#103—611no—
1368#103—611no—
1369#103—611no—
1370#103—611no—
1371#103—611no—
1372#103—611no—
1373#103—611no—
1374#103C22×D6111yescharacteristic
1375#102—611no—
1376#102—611no—
1377#102—611no—
1378#102—611no—
1379#102—611no—
1380#102—611no—
1381#102—611no—
1382#102—611no—
1383#102—611no—
1384#102—611no—
1385#102—611no—
1386#102C22×D6111yescharacteristic
1387#102C22×D6111yescharacteristic
1388#102C22×D6111yescharacteristic
1389#102C22×D6111yescharacteristic
1390#102C22×D6111yescharacteristic
1391#102C22×D6111yescharacteristic
1392#102C22×D6111yescharacteristic
1393#102C22×D6111yescharacteristic
1394#102C22×D6111yescharacteristic
1395C22⋊C8—611no—
1396C22⋊C8—611no—
1397C22⋊C8—611no—
1398C22⋊C8—611no—
1399C22⋊C8—611no—
1400C22⋊C8—611no—
1401C22⋊C8C22×D6111yescharacteristic
1402C22⋊C8C22×D6111yescharacteristic
1403#97—611no—
1404#97—611no—
1405#97—611no—
1406#97C22×D6111yescharacteristic
1407C24—21no—
1408C24—21no—
1409C24—611no—
1410C24—611no—
1411#41—614no—
1412#41—1222no—
1413#41—1222no—
1414#41—1222no—
1415#41—1222no—
1416#41—1222no—
1417#41—1222no—
1418#41—1222no—
1419#41—1222no—
1420#41—1222no—
1421#41—1222no—
1422#41—1222no—
1423#41—2444no—
1424#41—2444no—
1425#41—2444no—
1426#41—2441no—
1427#41—2441no—
1428#41—2441no—
1429#41—2441no—
1430#41—2444no—
1431#41—2444no—
1432C2×Q8—611no—
1433C2×Q8—611no—
1434C2×Q8—611no—
1435C2×Q8—1221no—
1436C2×Q8—1221no—
1437C2×Q8—1222no—
1438C2×Q8—1222no—
1439C2×Q8—1221no—
1440C2×Q8—1221no—
1441C2×Q8—2441no—
1442C2×Q8—2441no—
1443C2×Q8C23×D6111yescharacteristic
1444C2×D4—22no—
1445C2×D4—22no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—41no—
1453C2×D4—41no—
1454C2×D4—44no—
1455C2×D4—611no—
1456C2×D4—611no—
1457C2×D4—611no—
1458C2×D4—611no—
1459C2×D4—1221no—
1460C2×D4—1221no—
1461C2×D4—1221no—
1462C2×D4—1221no—
1463C2×D4—1221no—
1464C2×D4—1221no—
1465C2×D4—1221no—
1466C2×D4—1221no—
1467C2×D4—1221no—
1468C2×D4—1221no—
1469C2×D4—1221no—
1470C2×D4—1221no—
1471C2×D4—1221no—
1472C2×D4—1221no—
1473C2×D4—2442no—
1474C2×D4—2444no—
1475C2×D4—2444no—
1476C2×D4D4×D6111yescharacteristic
1477C2×D4C23×D6111yescharacteristic
1478C2×D4C23×D6111yescharacteristic
1479C2×D4C23×D6111yescharacteristic
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—611no—
1483C22×C4—611no—
1484C22×C4—611no—
1485C22×C4—611no—
1486C22×C4—611no—
1487C22×C4—611no—
1488C22×C4—611no—
1489C22×C4—611no—
1490C22×C4—611no—
1491C22×C4—611no—
1492C22×C4—611no—
1493C22×C4—1222no—
1494C22×C4—1222no—
1495C22×C4—1222no—
1496C22×C4—1222no—
1497C22×C4—1221no—
1498C22×C4—1221no—
1499C22×C4—1221no—
1500C22×C4—1221no—
1501C22×C4—1221no—
1502C22×C4—1221no—
1503C22×C4—1221no—
1504C22×C4—1221no—
1505C22×C4—1221no—
1506C22×C4—1221no—
1507C22×C4—1221no—
1508C22×C4—1221no—
1509C22×C4—1221no—
1510C22×C4—1221no—
1511C22×C4—1221no—
1512C22×C4—1221no—
1513C22×C4—2444no—
1514C22×C4—2444no—
1515C22×C4C23×D6111yescharacteristic
1516C22×C4C23×D6111yescharacteristic
1517Q16—1222no—
1518Q16—2441no—
1519Q16—2441no—
1520SD16—22no—
1521SD16—41no—
1522SD16—41no—
1523SD16—1222no—
1524SD16—2441no—
1525SD16—2441no—
1526D8—1222no—
1527D8—2441no—
1528D8—2441no—
1529M16—41no—
1530M16—2441no—
1531M16—2441no—
1532M16—2441no—
1533C2×C8—41no—
1534C2×C8—611no—
1535C2×C8—611no—
1536C2×C8—611no—
1537C2×C8—611no—
1538C2×C8—1222no—
1539C2×C8—1222no—
1540C2×C8—1222no—
1541C2×C8—1222no—
1542C2×C8—2441no—
1543C2×C8—2441no—
1544C2×C8—2441no—
1545C2×C8C23×D6111yescharacteristic
1546C2×C8C23×D6111yescharacteristic
1547C2×C8C23×D6111yescharacteristic
1548C2×C8C23×D6111yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—611no—
1556C4⋊C4—611no—
1557C4⋊C4—611no—
1558C4⋊C4—611no—
1559C4⋊C4—611no—
1560C4⋊C4—611no—
1561C4⋊C4—611no—
1562C4⋊C4—1221no—
1563C4⋊C4—1221no—
1564C4⋊C4—1221no—
1565C4⋊C4—1221no—
1566C4⋊C4—1221no—
1567C4⋊C4—1221no—
1568C4⋊C4—1221no—
1569C4⋊C4—1221no—
1570C4⋊C4—1221no—
1571C4⋊C4—1221no—
1572C4⋊C4—1221no—
1573C4⋊C4—1221no—
1574C4⋊C4—1221no—
1575C4⋊C4—1221no—
1576C4⋊C4—1221no—
1577C4⋊C4—1221no—
1578C4⋊C4—1221no—
1579C4⋊C4—1221no—
1580C4⋊C4D4×D6111yescharacteristic
1581C4⋊C4C23×D6111yescharacteristic
1582C4⋊C4C23×D6111yescharacteristic
1583C4⋊C4C23×D6111yescharacteristic
1584C4⋊C4C23×D6111yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—611no—
1592C22⋊C4—611no—
1593C22⋊C4—611no—
1594C22⋊C4—611no—
1595C22⋊C4—611no—
1596C22⋊C4—611no—
1597C22⋊C4—1221no—
1598C22⋊C4—1221no—
1599C22⋊C4—1221no—
1600C22⋊C4—1221no—
1601C22⋊C4—1221no—
1602C22⋊C4—1221no—
1603C22⋊C4—1221no—
1604C22⋊C4—1221no—
1605C22⋊C4—1221no—
1606C22⋊C4—1221no—
1607C22⋊C4—1221no—
1608C22⋊C4—1221no—
1609C22⋊C4—1221no—
1610C22⋊C4—1221no—
1611C22⋊C4—1221no—
1612C22⋊C4—1221no—
1613C22⋊C4—1221no—
1614C22⋊C4—1221no—
1615C22⋊C4—1221no—
1616C22⋊C4—1221no—
1617C22⋊C4—1221no—
1618C22⋊C4—1221no—
1619C22⋊C4—1221no—
1620C22⋊C4—1221no—
1621C22⋊C4—1221no—
1622C22⋊C4—1221no—
1623C22⋊C4D4×D6111yescharacteristic
1624C22⋊C4D4×D6111yescharacteristic
1625C42—21no—
1626C42—21no—
1627C42—611no—
1628C42—611no—
1629C42—611no—
1630C42—1221no—
1631C42—1221no—
1632C42—1221no—
1633C42—1221no—
1634C42—1221no—
1635C42—1221no—
1636C42—1221no—
1637C42—1221no—
1638C42—1221no—
1639C42—1221no—
1640C42C23×D6111yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—42no—
1645C23—42no—
1646C23—42no—
1647C23—42no—
1648C23—81no—
1649C23—81no—
1650C23—611no—
1651C23—611no—
1652C23—611no—
1653C23—1222no—
1654C23—1222no—
1655C23—1222no—
1656C23—1221no—
1657C23—2441no—
1658C23—2441no—
1659C23—2441no—
1660C23C2×D4×D6111yescharacteristic
1661C23C2×D4×D6111yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—612no—
1665Q8—1221no—
1666Q8—1221no—
1667Q8—1221no—
1668Q8—1221no—
1669Q8—1221no—
1670Q8—4881no—
1671Q8—2442no—
1672Q8—2442no—
1673Q8—2442no—
1674D4—22no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—42no—
1681D4—42no—
1682D4—42no—
1683D4—42no—
1684D4—42no—
1685D4—81no—
1686D4—1224no—
1687D4—1222no—
1688D4—1221no—
1689D4—1221no—
1690D4—4881no—
1691D4—4881no—
1692D4—4881no—
1693D4—4881no—
1694D4—2441no—
1695D4—2442no—
1696D4—2442no—
1697D4—2441no—
1698D4—2442no—
1699D4—2442no—
1700D4—2442no—
1701D4—2442no—
1702D4—2442no—
1703D4—2442no—
1704D4—2442no—
1705D4#41×D6112yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—42no—
1716C2×C4—42no—
1717C2×C4—611no—
1718C2×C4—612no—
1719C2×C4—612no—
1720C2×C4—611no—
1721C2×C4—611no—
1722C2×C4—611no—
1723C2×C4—611no—
1724C2×C4—1222no—
1725C2×C4—1222no—
1726C2×C4—1222no—
1727C2×C4—1222no—
1728C2×C4—1222no—
1729C2×C4—1222no—
1730C2×C4—1224no—
1731C2×C4—1221no—
1732C2×C4—1221no—
1733C2×C4—1221no—
1734C2×C4—1221no—
1735C2×C4—1221no—
1736C2×C4—1221no—
1737C2×C4—1221no—
1738C2×C4—1221no—
1739C2×C4—1221no—
1740C2×C4—1221no—
1741C2×C4—1221no—
1742C2×C4—4881no—
1743C2×C4—4881no—
1744C2×C4—4881no—
1745C2×C4—4881no—
1746C2×C4—2441no—
1747C2×C4—2441no—
1748C2×C4—2442no—
1749C2×C4—2442no—
1750C2×C4—2442no—
1751C2×C4—2442no—
1752C2×C4—2442no—
1753C2×C4—2442no—
1754C2×C4—2442no—
1755C2×C4—2442no—
1756C2×C4—2442no—
1757C2×C4—2442no—
1758C2×C4—2442no—
1759C2×C4C2×D4×D6111yescharacteristic
1760C2×C4C2×D4×D6111yescharacteristic
1761C2×C4C2×D4×D6111yescharacteristic
1762C2×C4C2×D4×D6111yescharacteristic
1763C2×C4C24×D6111yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1221no—
1769C8—1221no—
1770C8—1221no—
1771C8—1221no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—22no—
1776C22—21no—
1777C22—21no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—84no—
1787C22—84no—
1788C22—612no—
1789C22—1221no—
1790C22—1221no—
1791C22—1221no—
1792C22—1221no—
1793C22—1221no—
1794C22—1221no—
1795C22—1221no—
1796C22—1221no—
1797C22—4882no—
1798C22—2444no—
1799C22—2441no—
1800C22—2441no—
1801C22—2441no—
1802C22#1684055812yes—
1803C22C22×D4×D6111yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—612no—
1814C4—1221no—
1815C4—1221no—
1816C4—1222no—
1817C4—1221no—
1818C4—1221no—
1819C4—2441no—
1820C4—2441no—
1821C4—2441no—
1822C4—2441no—
1823C4—2441no—
1824C4—2441no—
1825C4C2×#41×D6111yescharacteristic
1826C4H(5,𝔽2)×D6111yescharacteristic
1827C2—22no—
1828C2—41no—
1829C2—42no—
1830C2—81no—
1831C2—81no—
1832C2—1222no—
1833C2—4881no—
1834C2—2441no—
1835C2—2441no—
1836C2#546×D6111yescharacteristic
1837C2C2×#1684055811yescharacteristic
1838C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3310C2
socleC22×C61C23×D4
hypercenter#3310D61
hypocenterC61#61141
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #21459372C2semidirect
2. D4×#11758224C2semidirect
3. #21458008C2semidirect
4. #21457992C2semidirect
5. #21457976C2semidirect
6. #21457960C2semidirect
7. #21457952C2semidirect
8. #21457936C2semidirect
9. #21457920C2semidirect
10. #21457904C2semidirect
11. #21457880C2semidirect
12. #21457864C2semidirect
13. #21457848C2semidirect
14. #21457824C2semidirect
15. #21457808C2semidirect
16. #21457792C2semidirect
17. #21457776C2semidirect
18. #21456163C2semidirect
19. #21455731C2semidirect
20. #21455727C2semidirect
21. #21455604C2semidirect
22. #21455423C2semidirect
23. #21455395C2semidirect
24. #21455269C2semidirect
25. #21455038C2semidirect
26. #21455038C2semidirect
27. #21454614C2semidirect
28. #435×D61C2semidirect
29. #21454333C2semidirect
30. C2×#16839755C2semidirect
31. C61×#3310C2semidirect
35. C2×#14519798C22semidirect
36. C2×#14519798C22semidirect
37. C2×M16×D61C22semidirect
38. C22×C8×D61C22semidirect
39. #16840483C22semidirect
40. #16840475C22semidirect
41. #16840470C22semidirect
42. #16840465C22semidirect
44. #16840453C22semidirect
53. #16840413C22semidirect
61. #16840318C22semidirect
67. #16840275C22semidirect
68. #16840275C22semidirect
73. C4×#11758226C22semidirect
78. C2×#14519735C22semidirect
79. #117×D61C22semidirect
80. #16840132C22semidirect
81. #16840131C22semidirect
82. #16840126C22semidirect
83. #16840120C22semidirect
84. #16840120C22semidirect
85. #16840120C22semidirect
86. #16840120C22semidirect
87. #16840105C22semidirect
88. #16840105C22semidirect
89. #16840104C22semidirect
90. #16840103C22semidirect
91. #16840099C22semidirect
92. #16840098C22semidirect
93. #16840094C22semidirect
94. #16840092C22semidirect
95. #16840084C22semidirect
96. #16840084C22semidirect
97. #16840083C22semidirect
98. #16840079C22semidirect
99. #16840078C22semidirect
100. #16840074C22semidirect
101. #16840070C22semidirect
102. #16840066C22semidirect
103. #16840062C22semidirect
104. #16840056C22semidirect
105. #16840050C22semidirect
106. #16840046C22semidirect
107. #16840040C22semidirect
108. #16840019C22semidirect
109. #16840018C22semidirect
110. #16840014C22semidirect
111. #16840013C22semidirect
112. #16840009C22semidirect
113. #16840008C22semidirect
114. #16840005C22semidirect
115. #16840002C22semidirect
116. #16840001C22semidirect
117. #16839997C22semidirect
118. #16839996C22semidirect
119. #16839992C22semidirect
120. #16839991C22semidirect
121. #16839988C22semidirect
122. #16839982C22semidirect
123. #16839982C22semidirect
124. #16839976C22semidirect
125. #16839976C22semidirect
126. #16839972C22semidirect
127. #16839968C22semidirect
128. #16839954C22semidirect
129. #16839921C22semidirect
130. #16839921C22semidirect
131. #16839921C22semidirect
132. #16839921C22semidirect
133. #16839917C22semidirect
134. #16839917C22semidirect
135. #16839908C22semidirect
136. #16839908C22semidirect
137. #16839908C22semidirect
138. #16839908C22semidirect
139. #16839903C22semidirect
140. #16839903C22semidirect
141. #16839896C22semidirect
142. #16839896C22semidirect
143. #16839872C22semidirect
144. #16839871C22semidirect
145. #16839867C22semidirect
146. #16839866C22semidirect
147. #16839864C22semidirect
148. #16839863C22semidirect
149. #16839861C22semidirect
150. #16839836C22semidirect
151. #16839835C22semidirect
153. #16839833C22semidirect
154. #16839832C22semidirect
155. #16839831C22semidirect
156. #16839830C22semidirect
157. #16839799C22semidirect
158. #16839799C22semidirect
159. #16839797C22semidirect
160. C4⋊C8×D61C22semidirect
161. #16839772C22semidirect
162. #16839770C22semidirect
163. #16839767C22semidirect
164. #16839760C22semidirect
165. #16839760C22semidirect
166. #16839760C22semidirect
167. #16839760C22semidirect
168. #16839757C22semidirect
172. #16839755C22semidirect
173. #16839755C22semidirect
174. #16839755C22semidirect
175. #16839755C22semidirect
176. #16839755C22semidirect
177. #16839755C22semidirect
178. #16839755C22semidirect
179. #16839755C22semidirect
180. #16839755C22semidirect
181. #16839755C22semidirect
182. C2×#14519702C22semidirect
183. C2×#14519700C22semidirect
184. C2×#14519698C22semidirect
185. C22⋊C8×D61C22semidirect
186. C22⋊C8×D61C22semidirect
187. #97×D61C22semidirect
190. C61×#490C22semidirect
191. C61×#482C22semidirect
192. C61×#480C22semidirect
193. C61×#478C22semidirect
194. C61×#468C22semidirect
195. C61×#465C22semidirect
196. C61×#460C22semidirect
197. C61×#450C22semidirect
198. C61×#450C22semidirect
199. C61×#440C22semidirect
201. C61×#418C22semidirect
202. C2×#102×C61C22semidirect
560. #11758224#41semidirect
921. #3310D61semidirect
1004. #490C2×D61semidirect
1020. #482C2×D61semidirect
1024. #480C2×D61semidirect
1028. #478C2×D61semidirect
1040. #468C2×D61semidirect
1048. #465C2×D61semidirect
1055. #460C2×D61semidirect
1063. #450C2×D61semidirect
1064. #450C2×D61semidirect
1080. #440C2×D61semidirect
1096. #418C2×D61semidirect
1118. C2×#102C2×D61semidirect
1122. C61#61141semidirect

Maximal subgroups

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

subgroupindex
#214593722
D4×#117582242
#214580082
#214579922
#214579762
#214579602
#214579522
#214579362
#214579202
#214579042
#214578802
#214578642
#214578482
#214578242
#214578082
#214577922
#214577762
#214561632
#214557312
#214557272
#214556042
#214554232
#214553952
#214552692
#214550382
#214546142
#435×D612
#214543332
C2×#168397552
C61×#33102
#6114161