Finite Group Databasebeta

← #30565866

Subgroups — #30565866

Order 15616.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460042C211yesmaximal, characteristic, complemented
2#21459490C211yesmaximal, characteristic, complemented
3#21458132C211yesmaximal, characteristic, complemented
4#21458131C211yesmaximal, characteristic, complemented
5#21457929C211yesmaximal, characteristic, complemented
6#21457928C211yesmaximal, characteristic, complemented
7#21457776C211yesmaximal, characteristic, complemented
8#21457682C211yesmaximal, characteristic, complemented
9#21457678C211yesmaximal, characteristic, complemented
10#21457530C211yesmaximal, characteristic, complemented
11#21457522C211yesmaximal, characteristic, complemented
12#21457457C211yesmaximal, characteristic, complemented
13#21457456C211yesmaximal, characteristic, complemented
14#21457394C211yesmaximal, characteristic, complemented
15#21457386C211yesmaximal, characteristic, complemented
16#21457346C211yesmaximal, characteristic, complemented
17#21457337C211yesmaximal, characteristic, complemented
18#21456929C211yesmaximal, characteristic, complemented
19#21456925C211yesmaximal, characteristic, complemented
20#21456732C211yesmaximal, characteristic, complemented
21#21456730C211yesmaximal, characteristic, complemented
22#21456642C211yesmaximal, characteristic, complemented
23#21456571C211yesmaximal, characteristic, complemented
24#21456101C211yesmaximal, characteristic, complemented
25#21456100C211yesmaximal, characteristic, complemented
26#21455136C211yesmaximal, characteristic, complemented
27#21455132C211yesmaximal, characteristic, complemented
28#21455066C211yesmaximal, characteristic, complemented
29C2×#16839925C211yesmaximal, characteristic, complemented
30#21454868C211yesmaximal, characteristic, complemented
31C61×#3306C211yesmaximal, characteristic, complemented
32C2×#14519824C2211yescharacteristic, complemented
33C22×#11758224C2211yescharacteristic
34C2×#14519810C2211yescharacteristic, complemented
35C2×#14519806C2211yescharacteristic, complemented
36C2×#14519801C2211yescharacteristic
37C2×#14519801C2211yescharacteristic
38C2×#14519797C2211yescharacteristic, complemented
39C2×#14519796C2211yescharacteristic, complemented
40C22×Dic244C2211yescharacteristic, complemented
41C22×#11758200C2211yescharacteristic, complemented
42#16840509—21no—
43#16840508—21no—
44#16840473C2211yescharacteristic, complemented
45#16840467C2211yescharacteristic, complemented
46D4×Dic122C2211yescharacteristic, complemented
47#16840425C2211yescharacteristic, complemented
48#16840421C2211yescharacteristic
49#16840420C2211yescharacteristic
50#16840418C2211yescharacteristic
51#16840418C2211yescharacteristic
52#16840416C2211yescharacteristic
53#16840413C2211yescharacteristic
54#16840412—21no—
55#16840411C2211yescharacteristic
56#16840410—21no—
57#16840409C2211yescharacteristic, complemented
58#16840407C2211yescharacteristic, complemented
59#16840406C2211yescharacteristic, complemented
60#16840404—21no—
61#16840402—21no—
62#16840400—21no—
63#16840399—21no—
64#16840387—21no—
65#16840386C2211yescharacteristic, complemented
66#16840377C2211yescharacteristic, complemented
67#16840356—21no—
68#16840348—21no—
69#16840343C2211yescharacteristic, complemented
70#16840341C2211yescharacteristic, complemented
71#16840341C2211yescharacteristic, complemented
72#16840340—21no—
73#16840339—21no—
74#16840334—21no—
75#16840332C2211yescharacteristic, complemented
76#16840271C2211yescharacteristic
77#16840268—21no—
78C2×#14519757C2211yescharacteristic
79C2×#14519754—21no—
80C22⋊Q8×D61C2211yescharacteristic
81#121×D61C2211yescharacteristic
82#16840241C2211yescharacteristic, complemented
83#16840156C2211yescharacteristic, complemented
84#16840153C2211yescharacteristic, complemented
85#16840145C2211yescharacteristic, complemented
86#16840144C2211yescharacteristic, complemented
87#16840120C2211yescharacteristic, complemented
88#16840114C2211yescharacteristic, complemented
89#16840111C2211yescharacteristic, complemented
90#16840094C2211yescharacteristic, complemented
91#16840094C2211yescharacteristic, complemented
92#16840094C2211yescharacteristic, complemented
93#16840094C2211yescharacteristic, complemented
94#16840092C2211yescharacteristic, complemented
95#16840092C2211yescharacteristic, complemented
96#16840091C2211yescharacteristic, complemented
97#16840082C2211yescharacteristic, complemented
98#16840079C2211yescharacteristic, complemented
99#16840079C2211yescharacteristic, complemented
100#16840050C2211yescharacteristic, complemented
101#16840046C2211yescharacteristic, complemented
102#16840044C2211yescharacteristic, complemented
103#16840021C2211yescharacteristic, complemented
104#16840021C2211yescharacteristic, complemented
105#16840021C2211yescharacteristic, complemented
106#16840020C2211yescharacteristic, complemented
107#16840019C2211yescharacteristic, complemented
108#16840019C2211yescharacteristic, complemented
109#16840014C2211yescharacteristic, complemented
110#16839993C2211yescharacteristic
111#16839992C2211yescharacteristic, complemented
112#16839991C2211yescharacteristic
113#16839990C2211yescharacteristic, complemented
114#16839989C2211yescharacteristic
115#16839989C2211yescharacteristic, complemented
116#16839989C2211yescharacteristic, complemented
117#16839985C2211yescharacteristic, complemented
118#16839983C2211yescharacteristic, complemented
119#16839983C2211yescharacteristic, complemented
120#16839981C2211yescharacteristic, complemented
121#16839977C2211yescharacteristic, complemented
122#16839976C2211yescharacteristic, complemented
123#16839975C2211yescharacteristic, complemented
124#16839973C2211yescharacteristic, complemented
125#16839971C2211yescharacteristic, complemented
126#16839967C2211yescharacteristic, complemented
127#16839966C2211yescharacteristic, complemented
128#16839926C2211yescharacteristic, complemented
129#16839925C2211yescharacteristic
130#16839925C2211yescharacteristic
131#16839925C2211yescharacteristic
132#16839925C2211yescharacteristic
133#16839925C2211yescharacteristic, complemented
134#16839925C2211yescharacteristic, complemented
135#16839925C2211yescharacteristic, complemented
136#16839925C2211yescharacteristic, complemented
137#16839925C2211yescharacteristic, complemented
138#16839925C2211yescharacteristic, complemented
139#16839924C2211yescharacteristic, complemented
140#16839920C2211yescharacteristic, complemented
141#16839920C2211yescharacteristic, complemented
142#16839919C2211yescharacteristic, complemented
143#16839919C2211yescharacteristic, complemented
144#16839919C2211yescharacteristic, complemented
145#16839917C2211yescharacteristic, complemented
146#16839914C2211yescharacteristic, complemented
147#16839911C2211yescharacteristic, complemented
148#16839908C2211yescharacteristic
149#16839908C2211yescharacteristic
150#16839908C2211yescharacteristic, complemented
151#16839905C2211yescharacteristic, complemented
152#16839904C2211yescharacteristic
153#16839904C2211yescharacteristic
154#16839904C2211yescharacteristic, complemented
155#16839903C2211yescharacteristic
156#16839902C2211yescharacteristic, complemented
157#16839902C2211yescharacteristic, complemented
158#16839900C2211yescharacteristic
159#16839900C2211yescharacteristic, complemented
160#16839899C2211yescharacteristic, complemented
161#16839896C2211yescharacteristic
162#16839871C2211yescharacteristic, complemented
163#16839870C2211yescharacteristic, complemented
164#16839868C2211yescharacteristic, complemented
165#16839853C2211yescharacteristic, complemented
166#16839849C2211yescharacteristic, complemented
167C4×#11758200C2211yescharacteristic, complemented
168C4×#11758200C2211yescharacteristic, complemented
169#16839839C2211yescharacteristic, complemented
170#16839838C2211yescharacteristic, complemented
171#16839835C2211yescharacteristic, complemented
172#16839833C2211yescharacteristic, complemented
173#16839830C2211yescharacteristic, complemented
174D4×#92418C2211yescharacteristic, complemented
175#16839825C2211yescharacteristic, complemented
176#16839824C2211yescharacteristic, complemented
177#16839822C2211yescharacteristic, complemented
178#16839760C2211yescharacteristic
179#16839760C2211yescharacteristic
180#16839760C2211yescharacteristic, complemented
181C2×#14519700C2211yescharacteristic, complemented
182C2×#14519700C2211yescharacteristic, complemented
183#103×D61C2211yescharacteristic, complemented
184#16839730C2211yescharacteristic, complemented
185#16839727C2211yescharacteristic, complemented
186#16839724C2211yescharacteristic
187C2×#14519689C2211yescharacteristic
188C61×#547C2211yescharacteristic
189C61×#546C2211yescharacteristic, complemented
190C61×#489C2211yescharacteristic, complemented
191C61×#483C2211yescharacteristic, complemented
192C61×#481C2211yescharacteristic, complemented
193C61×#476C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic, complemented
198C61×#447C2211yescharacteristic
199C61×#442C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C2×#102×C61C2211yescharacteristic, complemented
203#14519824—42no—
204#14519824—42no—
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758222C2311yescharacteristic
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224—21no—
212C2×#11758224—21no—
213C2×#11758224—42no—
214C2×#11758224—42no—
215C2×#11758224C2311yescharacteristic
216C2×#11758224C2311yescharacteristic
217C2×#11758224C2311yescharacteristic
218C2×#11758224C2311yescharacteristic
219C2×#11758224C2311yescharacteristic
220C2×#11758224C2311yescharacteristic
221C22×Dic122—21no—
222C22×Dic122C2311yescharacteristic
223C22×Dic122C2311yescharacteristic
224C22×Dic122C2311yescharacteristic
225C2×Q8×D61C2311yescharacteristic
226C2×Q8×D61C2311yescharacteristic
227C22×C22⋊D61—21no—
228C2×D4×D61—21no—
229C2×D4×D61C2311yescharacteristic
230C23×Dic61—21no—
231C22×C4×D61C2311yescharacteristic
232#14519810—42no—
233#14519806—42no—
234#14519801—42no—
235#14519801—42no—
236#14519797—42no—
237#14519796—42no—
238C2×Dic244—42no—
239C2×Dic244C2311yescharacteristic
240C2×Dic244C2311yescharacteristic
241C2×Dic244C2311yescharacteristic
242C2×Dic244C2311yescharacteristic
243C2×Dic244C2311yescharacteristic
244C2×Dic244C2311yescharacteristic
245C2×#11758202C2311yescharacteristic
246C2×#11758202C2311yescharacteristic
247C2×#11758190C2311yescharacteristic
248C2×#11758190C2311yescharacteristic
249C2×#11758190C2311yescharacteristic
250C2×#11758200—42no—
251C2×#11758200C2311yescharacteristic
252C2×#11758200C2311yescharacteristic
253C2×#11758200C2311yescharacteristic
254C2×#11758200C2311yescharacteristic
255C2×#11758200C2311yescharacteristic
256C2×#11758200C2311yescharacteristic
257C2×#11758200C2311yescharacteristic
258C2×#11758201C2311yescharacteristic
259C2×#11758199C2311yescharacteristic
260C2×#11758199C2311yescharacteristic
261C2×#11758189C2311yescharacteristic
262C2×#11758189C2311yescharacteristic
263C2×#11758189C2311yescharacteristic
264C22×#92418C2311yescharacteristic
265C22×#92418C2311yescharacteristic
266C2×C8×D61C2311yescharacteristic
267#14519777C2311yescharacteristic
268#14519776—21no—
269#14519776—21no—
270#14519776C2311yescharacteristic
271#14519775C2311yescharacteristic
272#14519772—21no—
273#14519770—21no—
274#14519768—21no—
275#14519767—21no—
276#14519766—21no—
277#14519765C2311yescharacteristic
278#14519764C2311yescharacteristic
279#14519764C2311yescharacteristic
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519762—21no—
286#14519762—21no—
287#14519762D411yescharacteristic
288#14519761—21no—
289#14519761—21no—
290#14519761—21no—
291#14519760—21no—
292#14519760—21no—
293#14519760—21no—
294#14519759—21no—
295#14519759—21no—
296#14519759—21no—
297#14519759D411yescharacteristic
298#14519758—21no—
299#14519758—21no—
300#14519757—21no—
301#14519757—21no—
302#14519757—21no—
303#14519757C2311yescharacteristic
304#14519757C2311yescharacteristic
305#14519757C2311yescharacteristic
306#14519757C2311yescharacteristic
307#14519757C2311yescharacteristic
308#14519757C2311yescharacteristic
309#14519757C2311yescharacteristic
310#14519756—21no—
311#14519756—21no—
312#14519756C2311yescharacteristic
313#14519756C2311yescharacteristic
314#14519756C2311yescharacteristic
315#14519755—21no—
316#14519755—21no—
317#14519755—21no—
318#14519755—21no—
319#14519755—21no—
320#14519755D411yescharacteristic
321#14519754—21no—
322#14519754—21no—
323#14519754—21no—
324#14519754—21no—
325#14519754—21no—
326#14519754—21no—
327#14519754—21no—
328#14519754—21no—
329#14519754—21no—
330#14519754—21no—
331#14519754—21no—
332#14519754D411yescharacteristic
333#14519753—21no—
334#14519753—21no—
335#14519753—21no—
336#14519753C2311yescharacteristic
337#14519752—21no—
338#14519752C2311yescharacteristic
339#14519752C2311yescharacteristic
340#14519751—21no—
341#14519751—21no—
342#14519751—21no—
343#14519751—21no—
344#14519751C2311yescharacteristic
345#14519750—21no—
346#14519750—21no—
347#14519750—21no—
348#14519750—21no—
349#14519750D411yescharacteristic
350#14519749—21no—
351#14519749—21no—
352#14519749—21no—
353#14519749—21no—
354#14519749—21no—
355#14519749—21no—
356#14519749—21no—
357#14519749—21no—
358#14519749D411yescharacteristic
359#14519748—21no—
360#14519748—21no—
361#14519748—21no—
362#14519748C2311yescharacteristic
363#14519748C2311yescharacteristic
364#14519747—21no—
365#14519747D411yescharacteristic
366#14519746—21no—
367#14519745—21no—
368#14519745D411yescharacteristic
369C4×Dic122C2311yescharacteristic
370C4×Dic122C2311yescharacteristic
371#14519742C2311yescharacteristic
372#14519742C2311yescharacteristic
373C4×D244C2311yescharacteristic
374D4×Dic61—21no—
375D4×Dic61—21no—
376D4×Dic61—21no—
377D4×Dic61C2311yescharacteristic
378#14519739—21no—
379#14519739C2311yescharacteristic
380C4×C22⋊D61—21no—
381C4×C22⋊D61—21no—
382C4×C22⋊D61C2311yescharacteristic
383C4×C22⋊D61C2311yescharacteristic
384#14519737—21no—
385#14519737—21no—
386#14519737—21no—
387#14519737—21no—
388#14519734C2311yescharacteristic
389#14519733—21no—
390C2×C4⋊Dic61—21no—
391C2×C4⋊Dic61—21no—
392C2×#11758196—21no—
393C2×#11758196—21no—
394C4⋊C4×D61—21no—
395C4⋊C4×D61C2311yescharacteristic
396C4⋊C4×D61C2311yescharacteristic
397C4⋊C4×D61C2311yescharacteristic
398C2×C22⋊Dic61—21no—
399C2×#11758198—21no—
400C2×#11758198—21no—
401C22⋊C4×D61—21no—
402C22⋊C4×D61—21no—
403C22⋊C4×D61—21no—
404#14519709C2311yescharacteristic
405#14519708C2311yescharacteristic
406#14519708C2311yescharacteristic
407#14519708C2311yescharacteristic
408#14519708C2311yescharacteristic
409C4⋊#92418C2311yescharacteristic
410#14519706C2311yescharacteristic
411#14519706C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519702C2311yescharacteristic
416#14519702C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519700C2311yescharacteristic
426#14519700C2311yescharacteristic
427#14519700C2311yescharacteristic
428#14519700C2311yescharacteristic
429#14519699C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519698C2311yescharacteristic
433#14519697C2311yescharacteristic
434C22⋊#92418C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519689C2311yescharacteristic
443#14519689C2311yescharacteristic
444#14519687C2311yescharacteristic
445C4×#92418C2311yescharacteristic
446C8×Dic61C2311yescharacteristic
447C2×#41×C61—21no—
448C2×#41×C61C2311yescharacteristic
449C22×D4×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×D8×C61C2311yescharacteristic
452C2×D8×C61C2311yescharacteristic
453C2×M16×C61C2311yescharacteristic
454C22×C8×C61C2311yescharacteristic
455C4⋊Q8×C61C2311yescharacteristic
456#124×C61C2311yescharacteristic
457#123×C61—21no—
458#123×C61—21no—
459#123×C61—21no—
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61C2311yescharacteristic
462#121×C61—21no—
463#121×C61C2311yescharacteristic
464#121×C61C2311yescharacteristic
465#121×C61C2311yescharacteristic
466#120×C61—21no—
467C4×D4×C61C2311yescharacteristic
468C4×D4×C61C2311yescharacteristic
469C4×D4×C61C2311yescharacteristic
470C2×C4⋊C4×C61C2311yescharacteristic
471C2×C4⋊C4×C61C2311yescharacteristic
472C2×C22⋊C4×C61—21no—
473#106×C61C2311yescharacteristic
474#106×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
493#41×C61—22no—
494#41×C61—41no—
495#41×C61—82no—
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×C61—21no—
513C22×C4×C61—21no—
514C22×C4×C61C2411yescharacteristic
515C22×C4×C61C2411yescharacteristic
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—44no—
528C2×C22⋊D61C2×D411yescharacteristic
529C2×C22⋊D61C2×D411yescharacteristic
530C2×C22⋊D61C2×D411yescharacteristic
531C2×C22⋊D61C2×D411yescharacteristic
532C22×Dic61—21no—
533C22×Dic61—21no—
534C22×Dic61—21no—
535C22×Dic61—21no—
536C22×Dic61—21no—
537C22×Dic61—21no—
538C22×Dic61—21no—
539C22×Dic61—21no—
540C22×Dic61—21no—
541C22×Dic61—21no—
542C22×Dic61—44no—
543C22×Dic61C2×D411yescharacteristic
544Q8×D61—22no—
545Q8×D61—41no—
546Q8×D61—41no—
547Q8×D61—41no—
548#11758224—22no—
549#11758224—22no—
550#11758224—22no—
551#11758224—22no—
552#11758224—22no—
553#11758224—41no—
554#11758224—41no—
555#11758224—41no—
556#11758224—41no—
557#11758224—41no—
558#11758224—41no—
559#11758224—41no—
560#11758224—44no—
561#11758224—44no—
562#11758224—44no—
563#11758224—44no—
564D4×D61—41no—
565D4×D61—41no—
566D4×D61—82no—
567#11758222—41no—
568#11758222—41no—
569#11758222—41no—
570#11758222—41no—
571#11758222—44no—
572#11758222—82no—
573C2×D244—21no—
574C2×D244—21no—
575C2×D244C2×D411yescharacteristic
576C2×D244C2×D411yescharacteristic
577C2×D244C2411yescharacteristic
578C2×C4×D61—21no—
579C2×C4×D61—21no—
580C2×C4×D61—21no—
581C2×C4×D61—21no—
582C2×C4×D61—21no—
583C2×C4×D61—21no—
584C2×C4×D61—21no—
585C2×C4×D61—41no—
586C2×C4×D61—41no—
587C2×C4×D61C2×D411yescharacteristic
588C2×C4×D61C2×D411yescharacteristic
589C2×C4×D61C2411yescharacteristic
590C2×C4×D61C2411yescharacteristic
591C2×C4×D61C2411yescharacteristic
592C2×Dic122—22no—
593C2×Dic122—22no—
594C2×Dic122—21no—
595C2×Dic122—21no—
596C2×Dic122—21no—
597C2×Dic122—21no—
598C2×Dic122—21no—
599C2×Dic122—21no—
600C2×Dic122—41no—
601C2×Dic122—41no—
602C2×Dic122—41no—
603C2×Dic122—41no—
604C2×Dic122—44no—
605C2×Dic122C2×D411yescharacteristic
606C2×Dic122C2411yescharacteristic
607C2×Dic122C2411yescharacteristic
608C2×Dic122C2411yescharacteristic
609C2×Dic122C2411yescharacteristic
610C2×Dic122C2411yescharacteristic
611SD16×C61—41no—
612D8×C61—22no—
613D8×C61—41no—
614M16×C61—41no—
615C2×C8×C61—41no—
616C2×C8×C61C2411yescharacteristic
617C2×C8×C61C2411yescharacteristic
618C2×C8×C61C2411yescharacteristic
619C2×C8×C61C2411yescharacteristic
620C4⋊C4×C61—21no—
621C4⋊C4×C61—21no—
622C4⋊C4×C61—21no—
623C4⋊C4×C61—21no—
624C4⋊C4×C61C2×D411yescharacteristic
625C4⋊C4×C61C2411yescharacteristic
626C4⋊C4×C61C2411yescharacteristic
627C4⋊C4×C61C2411yescharacteristic
628C4⋊C4×C61C2411yescharacteristic
629C22⋊C4×C61—21no—
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×C61C2×D411yescharacteristic
638C22⋊C4×C61C2×D411yescharacteristic
639C42×C61C2411yescharacteristic
640C22⋊Dic61—21no—
641C22⋊Dic61—21no—
642C22⋊Dic61—21no—
643C22⋊Dic61—21no—
644C22⋊Dic61—21no—
645C22⋊Dic61—21no—
646C22⋊Dic61—21no—
647C22⋊Dic61—21no—
648C22⋊Dic61—21no—
649C22⋊Dic61—21no—
650C22⋊Dic61C2×D411yescharacteristic
651C22⋊Dic61C2×D411yescharacteristic
652#11758202—41no—
653#11758202—41no—
654#11758201—41no—
655#11758200—22no—
656#11758200—22no—
657#11758200—22no—
658#11758200—41no—
659#11758200—41no—
660#11758200—41no—
661#11758200—41no—
662#11758199—22no—
663#11758199—41no—
664#11758198—21no—
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#11758198C2×D411yescharacteristic
679#11758198C2×D411yescharacteristic
680#11758198C2×D411yescharacteristic
681#11758198C2×D411yescharacteristic
682#11758198C2×D411yescharacteristic
683#11758198C2×D411yescharacteristic
684C4⋊Dic61—21no—
685C4⋊Dic61—21no—
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#11758196—21no—
708#11758196—21no—
709#11758196—21no—
710#11758196C2×D411yescharacteristic
711#11758196C2×D411yescharacteristic
712#11758196C2×D411yescharacteristic
713#11758196C2×D411yescharacteristic
714C4×Dic61—21no—
715C4×Dic61—21no—
716C4×Dic61—21no—
717C4×Dic61—21no—
718C4×Dic61C2411yescharacteristic
719C2×#92418—41no—
720C2×#92418—41no—
721C2×#92418C2411yescharacteristic
722C2×#92418C2411yescharacteristic
723C2×#92418C2411yescharacteristic
724C2×#92418C2411yescharacteristic
725Dic244—22no—
726Dic244—22no—
727Dic244—41no—
728Dic244—41no—
729Dic244—41no—
730Dic244—41no—
731#11758190—22no—
732#11758190—41no—
733#11758190—41no—
734#11758189—41no—
735#11758189—41no—
736#11758189—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—22no—
747C22×D61—21no—
748C22×D61—41no—
749C22×D61—41no—
750C22×D61—42no—
751C22×D61—81no—
752C22×D61—81no—
753C22×D61C22×D411yescharacteristic
754C22×D61C22×D411yescharacteristic
755C22×D61C22×D411yescharacteristic
756Q8×C61—21no—
757Q8×C61—21no—
758Q8×C61—81no—
759D4×C61—22no—
760D4×C61—21no—
761D4×C61—21no—
762D4×C61—21no—
763D4×C61—21no—
764D4×C61—21no—
765D4×C61—42no—
766D4×C61—42no—
767D4×C61—42no—
768D4×C61—81no—
769D4×C61—81no—
770D4×C61H(5,𝔽2)12yes—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—42no—
781C2×C4×C61—42no—
782C2×C4×C61—81no—
783C2×C4×C61—81no—
784C2×C4×C61—81no—
785C2×C4×C61C22×D411yescharacteristic
786C2×C4×C61C22×D411yescharacteristic
787C2×C4×C61C22×D411yescharacteristic
788C2×C4×C61C22×D411yescharacteristic
789C2×C4×C61C2511yescharacteristic
790C22⋊D61—24no—
791C22⋊D61—22no—
792C22⋊D61—41no—
793C22⋊D61—41no—
794C22⋊D61—41no—
795C22⋊D61—42no—
796C22⋊D61—42no—
797C22⋊D61—42no—
798C22⋊D61—42no—
799C22⋊D61—42no—
800C22⋊D61—81no—
801C22⋊D61—81no—
802C22⋊D61—81no—
803C22⋊D61—81no—
804C22⋊D61—81no—
805C2×Dic61—24no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—41no—
814C2×Dic61—42no—
815C2×Dic61—42no—
816C2×Dic61—42no—
817C2×Dic61—42no—
818C2×Dic61—42no—
819C2×Dic61—42no—
820C2×Dic61—81no—
821C2×Dic61—81no—
822C2×Dic61—81no—
823C2×Dic61C22×D411yescharacteristic
824C2×Dic61C22×D411yescharacteristic
825C2×Dic61C22×D411yescharacteristic
826C2×Dic61C22×D411yescharacteristic
827C2×Dic61C22×D411yescharacteristic
828D244—21no—
829D244—21no—
830D244—41no—
831D244—41no—
832D244—81no—
833D244—81no—
834C4×D61—21no—
835C4×D61—21no—
836C4×D61—21no—
837C4×D61—21no—
838C4×D61—21no—
839C4×D61—21no—
840C4×D61—41no—
841C4×D61—41no—
842C4×D61—42no—
843C4×D61—42no—
844C4×D61—81no—
845C4×D61—81no—
846C4×D61—81no—
847C4×D61—81no—
848C4×D61—81no—
849Dic122—21no—
850Dic122—21no—
851Dic122—21no—
852Dic122—21no—
853Dic122—21no—
854Dic122—21no—
855Dic122—21no—
856Dic122—21no—
857Dic122—21no—
858Dic122—41no—
859Dic122—42no—
860Dic122—42no—
861Dic122—42no—
862Dic122—42no—
863Dic122—81no—
864Dic122—81no—
865Dic122H(5,𝔽2)12yes—
866C8×C61—21no—
867C8×C61—21no—
868C8×C61—21no—
869C8×C61—21no—
870#92418—21no—
871#92418—21no—
872#92418—21no—
873#92418—21no—
874#61620—611nomaximal, Sylow
875C22×C61—21no—
876C22×C61—21no—
877C22×C61—21no—
878C22×C61—22no—
879C22×C61—21no—
880C22×C61—21no—
881C22×C61—41no—
882C22×C61—41no—
883C22×C61—41no—
884C22×C61—41no—
885C22×C61—41no—
886C22×C61—41no—
887C22×C61—41no—
888C22×C61—41no—
889C22×C61—84no—
890C22×C61#57712yes—
891C22×C61C23×D411yescharacteristic
892C2×D61—21no—
893C2×D61—21no—
894C2×D61—21no—
895C2×D61—21no—
896C2×D61—21no—
897C2×D61—21no—
898C2×D61—21no—
899C2×D61—21no—
900C2×D61—21no—
901C2×D61—41no—
902C2×D61—41no—
903C2×D61—41no—
904C2×D61—82no—
905C2×D61—162no—
906C4×C61—21no—
907C4×C61—21no—
908C4×C61—21no—
909C4×C61—21no—
910C4×C61—41no—
911C4×C61—41no—
912C4×C61—41no—
913C4×C61—41no—
914C4×C61—41no—
915C4×C61C2×H(5,𝔽2)11yescharacteristic
916C4×C61C2×H(5,𝔽2)11yescharacteristic
917Dic61—21no—
918Dic61—22no—
919Dic61—21no—
920Dic61—21no—
921Dic61—21no—
922Dic61—21no—
923Dic61—41no—
924Dic61—41no—
925Dic61—41no—
926Dic61—41no—
927Dic61—41no—
928Dic61—41no—
929#3536—611no—
930#3489—611no—
931#3331—611no—
932#3331—611no—
933#3316—611no—
934#3316—611no—
935#3306—611no—
936#3306D6111yescharacteristic, complemented
937#3298—611no—
938#3298—611no—
939#3282—611no—
940#3282—611no—
941#3275—611no—
942#3275—611no—
943#3270—611no—
944#3270—611no—
945#3267—611no—
946#3267—611no—
947#3225—611no—
948#3225—611no—
949#3204—611no—
950#3204—611no—
951#3195—611no—
952#3187—611no—
953#3125—611no—
954#3125—611no—
955#3013—611no—
956#3013—611no—
957#3006—611no—
958C2×#452—611no—
959#2976—611no—
960C2×C61—22no—
961C2×C61—41no—
962C2×C61—42no—
963C2×C61—81no—
964C2×C61—81no—
965C2×C61#348411yescharacteristic
966C2×C61C2×#57711yescharacteristic
967C2×C61#358611yescharacteristic
968D61—41no—
969D61—41no—
970D61—41no—
971D61—81no—
972C2×2−1+4—611no—
973C22×#41—611no—
974C2×#137—611no—
975C2×#137—611no—
976C2×AGL(1,ℤ/8)—611no—
977C2×AGL(1,ℤ/8)—611no—
978C2×#135—611no—
979C2×#135—611no—
980C22×Q16—611no—
981C22×SD16—611no—
982#562—1221no—
983#562—1221no—
984#554—611no—
985#554—611no—
986D4×Q8—611no—
987D4×Q8—611no—
988#548—611no—
989#548—611no—
990#548—611no—
991#548—611no—
992#547—611no—
993#547—611no—
994#547—611no—
995#547—1221no—
996#547—1221no—
997#547C2×D6111yescharacteristic
998#546—611no—
999#546—611no—
1000#546—611no—
1001#546—1221no—
1002#546—1221no—
1003#546—1221no—
1004#546—1221no—
1005#546C2×D6111yescharacteristic, complemented
1006#543—1221no—
1007#542—611no—
1008#542—611no—
1009#539—1221no—
1010#538—1221no—
1011#537—611no—
1012#537—611no—
1013#537—611no—
1014#537—1221no—
1015#537—1221no—
1016#536—611no—
1017#536—1221no—
1018#525—611no—
1019#525—1221no—
1020C2×C22⋊Q8—611no—
1021C2×C22⋊Q8—611no—
1022C2×C22⋊Q8—1221no—
1023C2×#121—611no—
1024#520—611no—
1025#497—611no—
1026#497—611no—
1027#495—611no—
1028#495—611no—
1029#489—611no—
1030#489C2×D6111yescharacteristic, complemented
1031#487—611no—
1032#487—611no—
1033#483—611no—
1034#483—611no—
1035#483—611no—
1036#483—611no—
1037#483—611no—
1038#483—611no—
1039#483—611no—
1040#483C2×D6111yescharacteristic, complemented
1041#481—611no—
1042#481—611no—
1043#481—611no—
1044#481C2×D6111yescharacteristic, complemented
1045#476—611no—
1046#476C2×D6111yescharacteristic, complemented
1047#475—611no—
1048#475—611no—
1049#470—611no—
1050#470—611no—
1051#470—611no—
1052#470—611no—
1053#470—611no—
1054#470—611no—
1055#469—611no—
1056#469C2×D6111yescharacteristic, complemented
1057#465—611no—
1058#465—611no—
1059#465—611no—
1060#465—611no—
1061#465—611no—
1062#465—611no—
1063#465—611no—
1064#465C2×D6111yescharacteristic
1065#464—611no—
1066#464—611no—
1067#464—611no—
1068#464—611no—
1069#463—611no—
1070#463—611no—
1071#463—611no—
1072#463C2×D6111yescharacteristic, complemented
1073#462—611no—
1074#462—611no—
1075#461—611no—
1076#461—611no—
1077#452—611no—
1078#452—611no—
1079#452—611no—
1080#452—611no—
1081#452—611no—
1082#452—611no—
1083#452—611no—
1084#452—611no—
1085#452—611no—
1086#452—611no—
1087#452—611no—
1088#452—611no—
1089#451—611no—
1090#451—611no—
1091#451—611no—
1092#451—611no—
1093#451—611no—
1094#451—611no—
1095#450—611no—
1096#450—611no—
1097#449—611no—
1098#449—611no—
1099#449—611no—
1100#449—611no—
1101#449—611no—
1102#449—611no—
1103#449—611no—
1104#449C2×D6111yescharacteristic, complemented
1105#448—611no—
1106#448—611no—
1107#448—611no—
1108#448—611no—
1109#448—611no—
1110#448—611no—
1111#447—611no—
1112#447C2×D6111yescharacteristic
1113#442—611no—
1114#442C2×D6111yescharacteristic, complemented
1115#441—611no—
1116#441—611no—
1117C4×SD16—611no—
1118C4×SD16—611no—
1119C4×SD16—611no—
1120C4×SD16—611no—
1121#436—611no—
1122#436—611no—
1123#435—611no—
1124#435—611no—
1125#435—611no—
1126#435C2×D6111yescharacteristic, complemented
1127C8×D4—611no—
1128C8×D4—611no—
1129#433—611no—
1130#433—611no—
1131#417—611no—
1132#417—611no—
1133#417—611no—
1134#417C2×D6111yescharacteristic, complemented
1135C2×#103—611no—
1136C2×#103—611no—
1137C2×#103—611no—
1138C2×#102C2×D6111yescharacteristic, complemented
1139#408—611no—
1140#408—611no—
1141#407—611no—
1142C2×C22⋊C8—611no—
1143C61#6162011yescharacteristic, complemented, Sylow
11442−1+4—2442no—
11452−1+4—2442no—
1146C2×#41—21no—
1147C2×#41—611no—
1148C2×#41—611no—
1149C2×#41—611no—
1150C2×#41—611no—
1151C2×#41—611no—
1152C2×#41—611no—
1153C2×#41—611no—
1154C2×#41—611no—
1155C2×#41—1221no—
1156C2×#41—1221no—
1157C2×#41—1221no—
1158C2×#41—1221no—
1159C2×#41—1221no—
1160C2×#41—1221no—
1161C2×#41—2442no—
1162C2×#41—2442no—
1163C2×#41C22×D6111yescharacteristic
1164C22×Q8—611no—
1165C22×Q8—611no—
1166C22×Q8—611no—
1167C22×Q8—611no—
1168C22×Q8—611no—
1169C22×Q8—1221no—
1170C22×D4—611no—
1171C22×D4—1221no—
1172C22×D4—1221no—
1173C22×D4C22×D6111yescharacteristic
1174C23×C4—611no—
1175C23×C4—1221no—
1176#137—2442no—
1177#137—2442no—
1178AGL(1,ℤ/8)—2442no—
1179AGL(1,ℤ/8)—2442no—
1180#135—2442no—
1181#135—2442no—
1182C2×Q16—611no—
1183C2×Q16—611no—
1184C2×Q16—611no—
1185C2×Q16—611no—
1186C2×Q16—611no—
1187C2×Q16—611no—
1188C2×Q16—611no—
1189C2×Q16—611no—
1190C2×Q16—2442no—
1191C2×SD16—611no—
1192C2×SD16—611no—
1193C2×SD16—611no—
1194C2×SD16—611no—
1195C2×SD16—611no—
1196C2×SD16—611no—
1197C2×SD16—611no—
1198C2×SD16—611no—
1199C2×SD16—611no—
1200C2×SD16—611no—
1201C2×SD16—611no—
1202C2×SD16—2442no—
1203C2×SD16C22×D6111yescharacteristic
1204C2×D8—611no—
1205C2×D8—611no—
1206C2×D8C22×D6111yescharacteristic
1207C2×D8C22×D6111yescharacteristic
1208C2×M16—611no—
1209C2×M16—611no—
1210C2×M16—611no—
1211C2×M16C22×D6111yescharacteristic
1212C22×C8—611no—
1213C22×C8—611no—
1214C22×C8—611no—
1215C22×C8C22×D6111yescharacteristic
1216C4⋊Q8—611no—
1217C4⋊Q8—611no—
1218C4⋊Q8—611no—
1219C4⋊Q8—1221no—
1220C4⋊Q8—1221no—
1221C4⋊Q8C22×D6111yescharacteristic
1222#126—1221no—
1223#126—1221no—
1224#125—1221no—
1225#125—1221no—
1226#124—611no—
1227#124—611no—
1228#124—611no—
1229#124—1221no—
1230#124—1221no—
1231#124—1221no—
1232#124—1221no—
1233#124—1221no—
1234#124—1221no—
1235#124C22×D6111yescharacteristic
1236#123—21no—
1237#123—21no—
1238#123—21no—
1239#123—611no—
1240#123—611no—
1241#123—1221no—
1242#123—1221no—
1243#123—1221no—
1244#123—1221no—
1245#123—1221no—
1246#123—1221no—
1247#123—1221no—
1248#123—1221no—
1249#123—1221no—
1250#123—1221no—
1251#123—1221no—
1252#123—1221no—
1253#123—1221no—
1254C22⋊Q8—21no—
1255C22⋊Q8—611no—
1256C22⋊Q8—611no—
1257C22⋊Q8—611no—
1258C22⋊Q8—611no—
1259C22⋊Q8—611no—
1260C22⋊Q8—611no—
1261C22⋊Q8—611no—
1262C22⋊Q8—611no—
1263C22⋊Q8—611no—
1264C22⋊Q8—611no—
1265C22⋊Q8—611no—
1266C22⋊Q8—611no—
1267C22⋊Q8—611no—
1268C22⋊Q8—1221no—
1269C22⋊Q8—1221no—
1270C22⋊Q8—1221no—
1271C22⋊Q8—1221no—
1272C22⋊Q8—1221no—
1273C22⋊Q8—1221no—
1274C22⋊Q8—1221no—
1275C22⋊Q8—1221no—
1276C22⋊Q8—1221no—
1277C22⋊Q8—1221no—
1278C22⋊Q8—1221no—
1279C22⋊Q8—1221no—
1280C22⋊Q8—1221no—
1281C22⋊Q8—1221no—
1282C22⋊Q8—1221no—
1283C22⋊Q8—1221no—
1284C22⋊Q8—1221no—
1285C22⋊Q8—1221no—
1286C22⋊Q8—1221no—
1287C22⋊Q8—1221no—
1288C22⋊Q8—1221no—
1289C22⋊Q8—1221no—
1290C22⋊Q8—1221no—
1291C22⋊Q8—1221no—
1292C22⋊Q8C22×D6111yescharacteristic
1293#121—21no—
1294#121—611no—
1295#121—611no—
1296#121—611no—
1297#121—611no—
1298#121—611no—
1299#121—611no—
1300#121—611no—
1301#121—1221no—
1302#121—1221no—
1303#121—1221no—
1304#121—1221no—
1305#121—1221no—
1306#121—1221no—
1307#121—1221no—
1308#121—1221no—
1309#121—1221no—
1310#121—1221no—
1311#121—1221no—
1312#121—1221no—
1313#121—1221no—
1314#121—1221no—
1315#121—1221no—
1316#121—1221no—
1317#121—1221no—
1318#121—1221no—
1319#121—1221no—
1320#121—1221no—
1321#121C22×D6111yescharacteristic
1322#121C22×D6111yescharacteristic
1323#121C22×D6111yescharacteristic
1324#120—21no—
1325#120—611no—
1326#120—611no—
1327#120—1221no—
1328#120—1221no—
1329#120—1221no—
1330C4×Q8—611no—
1331C4×Q8—611no—
1332C4×Q8—611no—
1333C4×Q8—611no—
1334C4×D4—611no—
1335C4×D4—611no—
1336C4×D4—611no—
1337C4×D4—611no—
1338C4×D4—611no—
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×D4C22×D6111yescharacteristic
1350C4×D4C22×D6111yescharacteristic
1351C4×D4C22×D6111yescharacteristic
1352#117—611no—
1353#117—1221no—
1354C2×C4⋊C4—611no—
1355C2×C4⋊C4—611no—
1356C2×C4⋊C4—611no—
1357C2×C4⋊C4—1221no—
1358C2×C4⋊C4—1221no—
1359C2×C4⋊C4—1221no—
1360C2×C4⋊C4—1221no—
1361C2×C4⋊C4—1221no—
1362C2×C4⋊C4C22×D6111yescharacteristic
1363C2×C4⋊C4C22×D6111yescharacteristic
1364C2×C22⋊C4—21no—
1365C2×C22⋊C4—1221no—
1366C2×C22⋊C4—1221no—
1367C2×C22⋊C4—1221no—
1368C2×C22⋊C4—1221no—
1369C2×C22⋊C4—1221no—
1370C2×C22⋊C4—1221no—
1371#106—611no—
1372#106—611no—
1373#106—611no—
1374#106—611no—
1375#106—611no—
1376#106C22×D6111yescharacteristic
1377#106C22×D6111yescharacteristic
1378#106C22×D6111yescharacteristic
1379C4⋊C8—611no—
1380C4⋊C8—611no—
1381C4⋊C8—611no—
1382C4⋊C8C22×D6111yescharacteristic
1383#103—611no—
1384#103—611no—
1385#103—611no—
1386#103—611no—
1387#103—611no—
1388#103—611no—
1389#103—611no—
1390#103—611no—
1391#103—611no—
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#103C22×D6111yescharacteristic
1401#103C22×D6111yescharacteristic
1402#103C22×D6111yescharacteristic
1403#102—611no—
1404#102—611no—
1405#102—611no—
1406#102—611no—
1407#102—611no—
1408#102C22×D6111yescharacteristic
1409#102C22×D6111yescharacteristic
1410#102C22×D6111yescharacteristic
1411#102C22×D6111yescharacteristic
1412#102C22×D6111yescharacteristic
1413#102C22×D6111yescharacteristic
1414#102C22×D6111yescharacteristic
1415C22⋊C8—611no—
1416C22⋊C8—611no—
1417C22⋊C8—611no—
1418C22⋊C8—611no—
1419C22⋊C8—611no—
1420C22⋊C8—611no—
1421C22⋊C8—611no—
1422C22⋊C8—611no—
1423C22⋊C8—611no—
1424C22⋊C8—611no—
1425C22⋊C8C22×D6111yescharacteristic
1426C22⋊C8C22×D6111yescharacteristic
1427#97—611no—
1428#97C22×D6111yescharacteristic
1429C4×C8—611no—
1430C4×C8—611no—
1431C24—21no—
1432C24—611no—
1433C24—1221no—
1434#41—22no—
1435#41—41no—
1436#41—82no—
1437#41—1222no—
1438#41—1222no—
1439#41—1222no—
1440#41—1222no—
1441#41—1222no—
1442#41—4882no—
1443#41—2441no—
1444#41—2441no—
1445#41—2441no—
1446#41—2441no—
1447#41—2444no—
1448#41—2441no—
1449#41—2441no—
1450#41—2441no—
1451#41—2441no—
1452#41—2441no—
1453#41—2441no—
1454#41—2441no—
1455#41—2444no—
1456#41—2444no—
1457#41—2444no—
1458#41—2444no—
1459C2×Q8—21no—
1460C2×Q8—611no—
1461C2×Q8—611no—
1462C2×Q8—611no—
1463C2×Q8—611no—
1464C2×Q8—611no—
1465C2×Q8—611no—
1466C2×Q8—1221no—
1467C2×Q8—1221no—
1468C2×Q8—1221no—
1469C2×Q8—1222no—
1470C2×Q8—1222no—
1471C2×Q8—1221no—
1472C2×Q8—1221no—
1473C2×Q8—1221no—
1474C2×Q8—1222no—
1475C2×Q8—2441no—
1476C2×Q8—2441no—
1477C2×Q8—2441no—
1478C2×Q8—2441no—
1479C2×Q8—2444no—
1480C2×Q8—2441no—
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—611no—
1497C2×D4—611no—
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—1221no—
1508C2×D4—1221no—
1509C2×D4—1221no—
1510C2×D4—1221no—
1511C2×D4—4882no—
1512C2×D4—2441no—
1513C2×D4—2441no—
1514C2×D4—2444no—
1515C2×D4D4×D6111yescharacteristic
1516C2×D4C23×D6111yescharacteristic
1517C2×D4C23×D6111yescharacteristic
1518C2×D4C23×D6111yescharacteristic
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—611no—
1525C22×C4—611no—
1526C22×C4—611no—
1527C22×C4—611no—
1528C22×C4—611no—
1529C22×C4—611no—
1530C22×C4—1221no—
1531C22×C4—1221no—
1532C22×C4—1221no—
1533C22×C4—1221no—
1534C22×C4—1221no—
1535C22×C4—1221no—
1536C22×C4—1221no—
1537C22×C4—1221no—
1538C22×C4—1221no—
1539C22×C4—1221no—
1540C22×C4—1221no—
1541C22×C4—1221no—
1542C22×C4—1221no—
1543C22×C4—1221no—
1544C22×C4—1221no—
1545C22×C4—1221no—
1546C22×C4—1221no—
1547C22×C4—2441no—
1548C22×C4—2441no—
1549C22×C4—2444no—
1550C22×C4C23×D6111yescharacteristic
1551C22×C4C23×D6111yescharacteristic
1552Q16—1222no—
1553Q16—1222no—
1554Q16—2441no—
1555Q16—2441no—
1556Q16—2441no—
1557Q16—2441no—
1558Q16—2441no—
1559Q16—2441no—
1560SD16—41no—
1561SD16—1222no—
1562SD16—1222no—
1563SD16—1222no—
1564SD16—1222no—
1565SD16—2441no—
1566SD16—2441no—
1567SD16—2441no—
1568SD16—2441no—
1569SD16—2441no—
1570SD16—2441no—
1571SD16—2441no—
1572D8—22no—
1573D8—41no—
1574D8—1222no—
1575D8—2441no—
1576M16—41no—
1577M16—2441no—
1578M16—2441no—
1579M16—2441no—
1580C2×C8—41no—
1581C2×C8—611no—
1582C2×C8—611no—
1583C2×C8—611no—
1584C2×C8—611no—
1585C2×C8—2441no—
1586C2×C8—2441no—
1587C2×C8—2441no—
1588C2×C8C23×D6111yescharacteristic
1589C2×C8C23×D6111yescharacteristic
1590C2×C8C23×D6111yescharacteristic
1591C2×C8C23×D6111yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—611no—
1597C4⋊C4—611no—
1598C4⋊C4—611no—
1599C4⋊C4—611no—
1600C4⋊C4—611no—
1601C4⋊C4—611no—
1602C4⋊C4—611no—
1603C4⋊C4—1221no—
1604C4⋊C4—1221no—
1605C4⋊C4—1221no—
1606C4⋊C4—1221no—
1607C4⋊C4—1221no—
1608C4⋊C4—1221no—
1609C4⋊C4—1221no—
1610C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1627C4⋊C4C23×D6111yescharacteristic
1628C4⋊C4C23×D6111yescharacteristic
1629C4⋊C4C23×D6111yescharacteristic
1630C4⋊C4C23×D6111yescharacteristic
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—611no—
1640C22⋊C4—611no—
1641C22⋊C4—611no—
1642C22⋊C4—611no—
1643C22⋊C4—611no—
1644C22⋊C4—611no—
1645C22⋊C4—611no—
1646C22⋊C4—611no—
1647C22⋊C4—1221no—
1648C22⋊C4—1221no—
1649C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1672C22⋊C4D4×D6111yescharacteristic
1673C42—611no—
1674C42—1221no—
1675C42—1221no—
1676C42—1221no—
1677C42—1221no—
1678C42C23×D6111yescharacteristic
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—42no—
1683C23—42no—
1684C23—81no—
1685C23—611no—
1686C23—611no—
1687C23—611no—
1688C23—1222no—
1689C23—1221no—
1690C23—4881no—
1691C23—4881no—
1692C23—2441no—
1693C23—2441no—
1694C23—2442no—
1695C23C2×D4×D6111yescharacteristic
1696C23C2×D4×D6111yescharacteristic
1697Q8—21no—
1698Q8—21no—
1699Q8—81no—
1700Q8—612no—
1701Q8—1221no—
1702Q8—1221no—
1703Q8—1221no—
1704Q8—1221no—
1705Q8—1221no—
1706Q8—1221no—
1707Q8—1221no—
1708Q8—1221no—
1709Q8—1221no—
1710Q8—4881no—
1711Q8—4881no—
1712Q8—2441no—
1713Q8—2442no—
1714Q8—2442no—
1715Q8—2442no—
1716Q8—2442no—
1717D4—22no—
1718D4—21no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—42no—
1724D4—42no—
1725D4—42no—
1726D4—81no—
1727D4—81no—
1728D4—1224no—
1729D4—1222no—
1730D4—1221no—
1731D4—1221no—
1732D4—4881no—
1733D4—4881no—
1734D4—4881no—
1735D4—4881no—
1736D4—4881no—
1737D4—4881no—
1738D4—4881no—
1739D4—2441no—
1740D4—2441no—
1741D4—2441no—
1742D4—2441no—
1743D4—2441no—
1744D4—2442no—
1745D4—2442no—
1746D4—2442no—
1747D4—2442no—
1748D4—2442no—
1749D4#1451982312yes—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—42no—
1760C2×C4—42no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—611no—
1765C2×C4—611no—
1766C2×C4—611no—
1767C2×C4—611no—
1768C2×C4—611no—
1769C2×C4—1224no—
1770C2×C4—1221no—
1771C2×C4—1221no—
1772C2×C4—1221no—
1773C2×C4—1221no—
1774C2×C4—1221no—
1775C2×C4—1221no—
1776C2×C4—1221no—
1777C2×C4—1221no—
1778C2×C4—1221no—
1779C2×C4—1221no—
1780C2×C4—1221no—
1781C2×C4—1221no—
1782C2×C4—1221no—
1783C2×C4—4881no—
1784C2×C4—4881no—
1785C2×C4—4881no—
1786C2×C4—4881no—
1787C2×C4—4881no—
1788C2×C4—4881no—
1789C2×C4—4881no—
1790C2×C4—4881no—
1791C2×C4—2441no—
1792C2×C4—2441no—
1793C2×C4—2442no—
1794C2×C4—2442no—
1795C2×C4—2441no—
1796C2×C4—2442no—
1797C2×C4—2442no—
1798C2×C4—2442no—
1799C2×C4—2442no—
1800C2×C4—2442no—
1801C2×C4—2442no—
1802C2×C4C2×D4×D6111yescharacteristic
1803C2×C4C2×D4×D6111yescharacteristic
1804C2×C4C2×D4×D6111yescharacteristic
1805C2×C4C2×D4×D6111yescharacteristic
1806C2×C4C24×D6111yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—1221no—
1812C8—1221no—
1813C8—1221no—
1814C8—1221no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—22no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—84no—
1830C22—1221no—
1831C22—1221no—
1832C22—1221no—
1833C22—1221no—
1834C22—1221no—
1835C22—1221no—
1836C22—1221no—
1837C22—1221no—
1838C22—1221no—
1839C22—9762no—
1840C22—4882no—
1841C22—2441no—
1842C22—2441no—
1843C22—2441no—
1844C22#1684057212yes—
1845C22C22×D4×D6111yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—21no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—1221no—
1856C4—1221no—
1857C4—1221no—
1858C4—1221no—
1859C4—1221no—
1860C4—1222no—
1861C4—2441no—
1862C4—2441no—
1863C4—2441no—
1864C4—2441no—
1865C4—2441no—
1866C4—2441no—
1867C4H(5,𝔽2)×D6111yescharacteristic
1868C4C2×#1451982311yescharacteristic
1869C2—22no—
1870C2—41no—
1871C2—42no—
1872C2—81no—
1873C2—81no—
1874C2—4881no—
1875C2—2441no—
1876C2—2441no—
1877C2—2441no—
1878C2#2145944911yescharacteristic
1879C2C2×#1684057211yescharacteristic
1880C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3306C2
socleC22×C61C23×D4
hypercenter#3306D61
hypocenterC61#61620
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #21460042C2semidirect
2. #21459490C2semidirect
3. #21458132C2semidirect
4. #21458131C2semidirect
5. #21457929C2semidirect
6. #21457928C2semidirect
7. #21457776C2semidirect
8. #21457682C2semidirect
9. #21457678C2semidirect
10. #21457530C2semidirect
11. #21457522C2semidirect
12. #21457457C2semidirect
13. #21457456C2semidirect
14. #21457394C2semidirect
15. #21457386C2semidirect
16. #21457346C2semidirect
17. #21457337C2semidirect
18. #21456929C2semidirect
19. #21456925C2semidirect
20. #21456732C2semidirect
21. #21456730C2semidirect
22. #21456642C2semidirect
23. #21456571C2semidirect
24. #21456101C2semidirect
25. #21456100C2semidirect
26. #21455136C2semidirect
27. #21455132C2semidirect
28. #21455066C2semidirect
29. C2×#16839925C2semidirect
30. #21454868C2semidirect
31. C61×#3306C2semidirect
32. C2×#14519824C22semidirect
34. C2×#14519810C22semidirect
35. C2×#14519806C22semidirect
38. C2×#14519797C22semidirect
39. C2×#14519796C22semidirect
40. C22×Dic244C22semidirect
41. C22×#11758200C22semidirect
44. #16840473C22semidirect
45. #16840467C22semidirect
46. D4×Dic122C22semidirect
47. #16840425C22semidirect
57. #16840409C22semidirect
58. #16840407C22semidirect
59. #16840406C22semidirect
65. #16840386C22semidirect
66. #16840377C22semidirect
69. #16840343C22semidirect
70. #16840341C22semidirect
71. #16840341C22semidirect
75. #16840332C22semidirect
82. #16840241C22semidirect
83. #16840156C22semidirect
84. #16840153C22semidirect
85. #16840145C22semidirect
86. #16840144C22semidirect
87. #16840120C22semidirect
88. #16840114C22semidirect
89. #16840111C22semidirect
90. #16840094C22semidirect
91. #16840094C22semidirect
92. #16840094C22semidirect
93. #16840094C22semidirect
94. #16840092C22semidirect
95. #16840092C22semidirect
96. #16840091C22semidirect
97. #16840082C22semidirect
98. #16840079C22semidirect
99. #16840079C22semidirect
100. #16840050C22semidirect
101. #16840046C22semidirect
102. #16840044C22semidirect
103. #16840021C22semidirect
104. #16840021C22semidirect
105. #16840021C22semidirect
106. #16840020C22semidirect
107. #16840019C22semidirect
108. #16840019C22semidirect
109. #16840014C22semidirect
111. #16839992C22semidirect
113. #16839990C22semidirect
115. #16839989C22semidirect
116. #16839989C22semidirect
117. #16839985C22semidirect
118. #16839983C22semidirect
119. #16839983C22semidirect
120. #16839981C22semidirect
121. #16839977C22semidirect
122. #16839976C22semidirect
123. #16839975C22semidirect
124. #16839973C22semidirect
125. #16839971C22semidirect
126. #16839967C22semidirect
127. #16839966C22semidirect
128. #16839926C22semidirect
133. #16839925C22semidirect
134. #16839925C22semidirect
135. #16839925C22semidirect
136. #16839925C22semidirect
137. #16839925C22semidirect
138. #16839925C22semidirect
139. #16839924C22semidirect
140. #16839920C22semidirect
141. #16839920C22semidirect
142. #16839919C22semidirect
143. #16839919C22semidirect
144. #16839919C22semidirect
145. #16839917C22semidirect
146. #16839914C22semidirect
147. #16839911C22semidirect
150. #16839908C22semidirect
151. #16839905C22semidirect
154. #16839904C22semidirect
156. #16839902C22semidirect
157. #16839902C22semidirect
159. #16839900C22semidirect
160. #16839899C22semidirect
162. #16839871C22semidirect
163. #16839870C22semidirect
164. #16839868C22semidirect
165. #16839853C22semidirect
166. #16839849C22semidirect
167. C4×#11758200C22semidirect
168. C4×#11758200C22semidirect
169. #16839839C22semidirect
170. #16839838C22semidirect
171. #16839835C22semidirect
172. #16839833C22semidirect
173. #16839830C22semidirect
174. D4×#92418C22semidirect
175. #16839825C22semidirect
176. #16839824C22semidirect
177. #16839822C22semidirect
180. #16839760C22semidirect
181. C2×#14519700C22semidirect
182. C2×#14519700C22semidirect
183. #103×D61C22semidirect
184. #16839730C22semidirect
185. #16839727C22semidirect
189. C61×#546C22semidirect
190. C61×#489C22semidirect
191. C61×#483C22semidirect
192. C61×#481C22semidirect
193. C61×#476C22semidirect
194. C61×#469C22semidirect
196. C61×#463C22semidirect
197. C61×#449C22semidirect
199. C61×#442C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
202. C2×#102×C61C22semidirect
936. #3306D61semidirect
1005. #546C2×D61semidirect
1030. #489C2×D61semidirect
1040. #483C2×D61semidirect
1044. #481C2×D61semidirect
1046. #476C2×D61semidirect
1056. #469C2×D61semidirect
1072. #463C2×D61semidirect
1104. #449C2×D61semidirect
1114. #442C2×D61semidirect
1126. #435C2×D61semidirect
1134. #417C2×D61semidirect
1138. C2×#102C2×D61semidirect
1143. C61#61620semidirect

Maximal subgroups

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

subgroupindex
#214600422
#214594902
#214581322
#214581312
#214579292
#214579282
#214577762
#214576822
#214576782
#214575302
#214575222
#214574572
#214574562
#214573942
#214573862
#214573462
#214573372
#214569292
#214569252
#214567322
#214567302
#214566422
#214565712
#214561012
#214561002
#214551362
#214551322
#214550662
C2×#168399252
#214548682
C61×#33062
#6162061