Finite Group Databasebeta

← #30565795

Subgroups — #30565795

Order 15616.

2224 conjugacy classes of subgroups.

The subgroup lattice has 1986 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460050C211yesmaximal, characteristic, complemented
2#21459479C211yesmaximal, characteristic, complemented
3#21458025C211yesmaximal, characteristic, complemented
4#21458024C211yesmaximal, characteristic, complemented
5#21457964C211yesmaximal, characteristic, complemented
6#21457960C211yesmaximal, characteristic, complemented
7#21457832C211yesmaximal, characteristic, complemented
8#21457831C211yesmaximal, characteristic, complemented
9#21457727C211yesmaximal, characteristic, complemented
10#21457723C211yesmaximal, characteristic, complemented
11D8×C22⋊D61C211yesmaximal, characteristic, complemented
12#21457438C211yesmaximal, characteristic, complemented
13#21457437C211yesmaximal, characteristic, complemented
14#21457318C211yesmaximal, characteristic, complemented
15#21457310C211yesmaximal, characteristic, complemented
16#21457299C211yesmaximal, characteristic, complemented
17#21457294C211yesmaximal, characteristic, complemented
18#21456868C211yesmaximal, characteristic, complemented
19#21456862C211yesmaximal, characteristic, complemented
20#21456667C211yesmaximal, characteristic, complemented
21#21456664C211yesmaximal, characteristic, complemented
22#21456617C211yesmaximal, characteristic, complemented
23#21456566C211yesmaximal, characteristic, complemented
24#21456015C211yesmaximal, characteristic, complemented
25#21456014C211yesmaximal, characteristic, complemented
26#21455083C211yesmaximal, characteristic, complemented
27#21455082C211yesmaximal, characteristic, complemented
28#21455066C211yesmaximal, characteristic, complemented
29C2×#16839904C211yesmaximal, characteristic, complemented
30#21454861C211yesmaximal, characteristic, complemented
31D4×D8×C61C211yesmaximal, characteristic, complemented
32C2×#14519822C2211yescharacteristic, complemented
33C22×#11758224C2211yescharacteristic, complemented
34C2×#14519803C2211yescharacteristic, complemented
35C2×#14519801C2211yescharacteristic, complemented
36C2×#14519801C2211yescharacteristic, complemented
37C2×#14519801C2211yescharacteristic, complemented
38C22×#11758200C2211yescharacteristic, complemented
39C2×D8×D61C2211yescharacteristic, complemented
40#16840501—21no—
41#16840500—21no—
42#16840464C2211yescharacteristic, complemented
43#16840462C2211yescharacteristic, complemented
44#16840459C2211yescharacteristic, complemented
45#16840458C2211yescharacteristic, complemented
46#16840432C2211yescharacteristic, complemented
47#16840430C2211yescharacteristic, complemented
48#16840421C2211yescharacteristic, complemented
49#16840418C2211yescharacteristic, complemented
50#16840407C2211yescharacteristic, complemented
51#16840406C2211yescharacteristic, complemented
52#16840401—21no—
53#16840399—21no—
54#16840397C2211yescharacteristic, complemented
55D4×C22⋊D61—21no—
56D4×C22⋊D61—21no—
57D4×C22⋊D61C2211yescharacteristic, complemented
58D4×C22⋊D61C2211yescharacteristic, complemented
59D4×C22⋊D61C2211yescharacteristic, complemented
60#16840394—21no—
61#16840394—21no—
62#16840366C2211yescharacteristic, complemented
63#16840363C2211yescharacteristic, complemented
64#16840347—21no—
65#16840344—21no—
66#16840341C2211yescharacteristic, complemented
67#16840339—21no—
68#16840329C2211yescharacteristic, complemented
69#16840328C2211yescharacteristic, complemented
70#16840327—21no—
71#16840325C2211yescharacteristic, complemented
72#16840322—21no—
73#16840321—21no—
74#16840271C2211yescharacteristic
75#16840268—21no—
76C2×#14519749—21no—
77C2×#14519748C2211yescharacteristic, complemented
78#121×D61C2211yescharacteristic, complemented
79#121×D61C2211yescharacteristic, complemented
80#16840241C2211yescharacteristic, complemented
81#16840150C2211yescharacteristic, complemented
82#16840149C2211yescharacteristic, complemented
83#16840137C2211yescharacteristic, complemented
84#16840126C2211yescharacteristic, complemented
85#16840125C2211yescharacteristic, complemented
86#16840117C2211yescharacteristic, complemented
87#16840115C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840104C2211yescharacteristic, complemented
90#16840085C2211yescharacteristic, complemented
91#16840083C2211yescharacteristic, complemented
92#16840081C2211yescharacteristic, complemented
93#16840079C2211yescharacteristic, complemented
94#16840079C2211yescharacteristic, complemented
95#16840078C2211yescharacteristic, complemented
96#16840077C2211yescharacteristic, complemented
97#16840077C2211yescharacteristic, complemented
98#16840074C2211yescharacteristic, complemented
99#16840074C2211yescharacteristic, complemented
100#16840070C2211yescharacteristic, complemented
101#16840068C2211yescharacteristic, complemented
102#16840064C2211yescharacteristic, complemented
103#16840062C2211yescharacteristic, complemented
104#16840014C2211yescharacteristic, complemented
105#16840014C2211yescharacteristic, complemented
106#16840013C2211yescharacteristic, complemented
107#16840012C2211yescharacteristic, complemented
108#16840012C2211yescharacteristic, complemented
109#16840012C2211yescharacteristic, complemented
110#16840007C2211yescharacteristic, complemented
111#16840006C2211yescharacteristic, complemented
112#16839998C2211yescharacteristic, complemented
113#16839996C2211yescharacteristic, complemented
114#16839996C2211yescharacteristic, complemented
115#16839995C2211yescharacteristic, complemented
116#16839991C2211yescharacteristic, complemented
117#16839990C2211yescharacteristic, complemented
118#16839978C2211yescharacteristic, complemented
119#16839977C2211yescharacteristic, complemented
120#16839975C2211yescharacteristic, complemented
121#16839975C2211yescharacteristic, complemented
122#16839961C2211yescharacteristic, complemented
123#16839959C2211yescharacteristic, complemented
124#16839955C2211yescharacteristic, complemented
125#16839955C2211yescharacteristic, complemented
126#16839955C2211yescharacteristic, complemented
127#16839954C2211yescharacteristic, complemented
128#16839914C2211yescharacteristic, complemented
129#16839913C2211yescharacteristic, complemented
130#16839909C2211yescharacteristic, complemented
131#16839908C2211yescharacteristic, complemented
132#16839908C2211yescharacteristic, complemented
133#16839905C2211yescharacteristic, complemented
134#16839904C2211yescharacteristic, complemented
135#16839904C2211yescharacteristic, complemented
136#16839904C2211yescharacteristic, complemented
137#16839904C2211yescharacteristic, complemented
138#16839904C2211yescharacteristic, complemented
139#16839904C2211yescharacteristic, complemented
140#16839904C2211yescharacteristic, complemented
141#16839904C2211yescharacteristic, complemented
142#16839904C2211yescharacteristic, complemented
143#16839904C2211yescharacteristic, complemented
144#16839904C2211yescharacteristic, complemented
145#16839904C2211yescharacteristic, complemented
146#16839903C2211yescharacteristic, complemented
147#16839900C2211yescharacteristic, complemented
148#16839897C2211yescharacteristic, complemented
149#16839897C2211yescharacteristic, complemented
150#16839896C2211yescharacteristic, complemented
151#16839896C2211yescharacteristic, complemented
152#16839896C2211yescharacteristic, complemented
153#16839894C2211yescharacteristic, complemented
154#16839894C2211yescharacteristic, complemented
155#16839894C2211yescharacteristic, complemented
156#16839894C2211yescharacteristic, complemented
157#16839894C2211yescharacteristic, complemented
158#16839894C2211yescharacteristic, complemented
159#16839894C2211yescharacteristic, complemented
160#16839874C2211yescharacteristic, complemented
161#16839872C2211yescharacteristic, complemented
162#16839862C2211yescharacteristic, complemented
163#16839859C2211yescharacteristic, complemented
164#16839853C2211yescharacteristic, complemented
165C4×#11758190C2211yescharacteristic, complemented
166D8×Dic61C2211yescharacteristic, complemented
167#16839841C2211yescharacteristic, complemented
168#16839837C2211yescharacteristic, complemented
169#16839834C2211yescharacteristic, complemented
170#16839833C2211yescharacteristic, complemented
171#16839832C2211yescharacteristic, complemented
172#16839830C2211yescharacteristic, complemented
173C8×C22⋊D61C2211yescharacteristic, complemented
174#16839822C2211yescharacteristic, complemented
175#16839821C2211yescharacteristic, complemented
176#16839767C2211yescharacteristic, complemented
177#16839765C2211yescharacteristic, complemented
178#16839760C2211yescharacteristic, complemented
179#16839760C2211yescharacteristic, complemented
180#16839759C2211yescharacteristic, complemented
181#16839755C2211yescharacteristic, complemented
182C2×#14519702C2211yescharacteristic, complemented
183C2×#14519698C2211yescharacteristic, complemented
184#16839728C2211yescharacteristic, complemented
185#16839727C2211yescharacteristic, complemented
186#16839724C2211yescharacteristic, complemented
187C2×#14519689C2211yescharacteristic, complemented
188C22×D8×C61C2211yescharacteristic, complemented
189C22×D8×C61C2211yescharacteristic, complemented
190D42×C61C2211yescharacteristic, complemented
191D42×C61C2211yescharacteristic, complemented
192C61×#493C2211yescharacteristic, complemented
193C61×#466C2211yescharacteristic, complemented
194C61×#466C2211yescharacteristic, complemented
195C61×#459C2211yescharacteristic, complemented
196C61×#459C2211yescharacteristic, complemented
197C61×#447C2211yescharacteristic, complemented
198C61×#447C2211yescharacteristic, complemented
199C61×#447C2211yescharacteristic, complemented
200C61×#447C2211yescharacteristic, complemented
201C4×D8×C61C2211yescharacteristic, complemented
202C8×D4×C61C2211yescharacteristic, complemented
203#14519822—42no—
204#14519822—42no—
205C2×#11758222C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758224—21no—
208C2×#11758224—21no—
209C2×#11758224—21no—
210C2×#11758224—42no—
211C2×#11758224—42no—
212C2×#11758224C2311yescharacteristic
213C2×#11758224C2311yescharacteristic
214C2×#11758224C2311yescharacteristic
215C2×#11758224C2311yescharacteristic
216C2×#11758224C2311yescharacteristic
217C22×Dic122C2311yescharacteristic
218C22×C22⋊D61—21no—
219C22×C22⋊D61—21no—
220C22×C22⋊D61—21no—
221C22×C22⋊D61—21no—
222C22×C22⋊D61—21no—
223C22×C22⋊D61—21no—
224C22×C22⋊D61—21no—
225C2×D4×D61—21no—
226C2×D4×D61—21no—
227C2×D4×D61—21no—
228C2×D4×D61—21no—
229C2×D4×D61C2311yescharacteristic
230C2×D4×D61C2311yescharacteristic
231C2×D4×D61C2311yescharacteristic
232C2×D4×D61C2311yescharacteristic
233C23×Dic61—21no—
234C22×C4×D61C2311yescharacteristic
235#14519803—42no—
236#14519801—42no—
237#14519801—42no—
238#14519801—42no—
239C2×#11758190C2311yescharacteristic
240C2×#11758190C2311yescharacteristic
241C2×#11758200—42no—
242C2×#11758200C2311yescharacteristic
243C2×#11758200C2311yescharacteristic
244C2×#11758200C2311yescharacteristic
245C2×#11758200C2311yescharacteristic
246C2×#11758200C2311yescharacteristic
247C2×#11758200C2311yescharacteristic
248C2×D488C2311yescharacteristic
249C2×#11758199C2311yescharacteristic
250C2×#11758199C2311yescharacteristic
251C2×#11758199C2311yescharacteristic
252C2×#11758199C2311yescharacteristic
253C2×#11758199C2311yescharacteristic
254C2×#11758199C2311yescharacteristic
255D8×D61—42no—
256C2×#11758194C2311yescharacteristic
257C2×#11758189C2311yescharacteristic
258C2×#11758189C2311yescharacteristic
259C2×#11758189C2311yescharacteristic
260C22×#92418C2311yescharacteristic
261C2×C8×D61C2311yescharacteristic
262#14519773—21no—
263#14519773—21no—
264#14519773—21no—
265#14519773—21no—
266#14519773C2311yescharacteristic
267#14519773C2311yescharacteristic
268#14519772—21no—
269#14519770—21no—
270#14519770—21no—
271#14519770—21no—
272#14519769C2311yescharacteristic
273#14519768C2311yescharacteristic
274#14519765C2311yescharacteristic
275#14519764—21no—
276#14519764C2311yescharacteristic
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519762D411yescharacteristic
281#14519761—21no—
282#14519761—21no—
283#14519760—21no—
284#14519760—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759D411yescharacteristic
288#14519758—21no—
289#14519758—21no—
290#14519758—21no—
291#14519758—21no—
292#14519757C2311yescharacteristic
293#14519756C2311yescharacteristic
294#14519755—21no—
295#14519755D411yescharacteristic
296#14519754—21no—
297#14519754—21no—
298#14519754D411yescharacteristic
299#14519752C2311yescharacteristic
300#14519752C2311yescharacteristic
301#14519751—21no—
302#14519751—21no—
303#14519751C2311yescharacteristic
304#14519751C2311yescharacteristic
305#14519751C2311yescharacteristic
306#14519750—21no—
307#14519750—21no—
308#14519750—21no—
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750D411yescharacteristic
313#14519749—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749—21no—
321#14519749—21no—
322#14519749—21no—
323#14519749—21no—
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749—21no—
328#14519749—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749D411yescharacteristic
332#14519748—21no—
333#14519748—21no—
334#14519748—21no—
335#14519748—21no—
336#14519748—21no—
337#14519748C2311yescharacteristic
338#14519748C2311yescharacteristic
339#14519748C2311yescharacteristic
340#14519748C2311yescharacteristic
341#14519748C2311yescharacteristic
342#14519748C2311yescharacteristic
343#14519748C2311yescharacteristic
344#14519748C2311yescharacteristic
345#14519748C2311yescharacteristic
346#14519747—21no—
347#14519747—21no—
348#14519747D411yescharacteristic
349#14519746—21no—
350#14519746—21no—
351#14519746—21no—
352#14519746—21no—
353#14519746—21no—
354#14519746—21no—
355#14519745—21no—
356#14519745—21no—
357#14519745—21no—
358#14519745—21no—
359#14519745—21no—
360#14519745—21no—
361#14519745—21no—
362#14519745—21no—
363#14519745D411yescharacteristic
364C4×Dic122C2311yescharacteristic
365#14519742C2311yescharacteristic
366C4×D244C2311yescharacteristic
367C4×D244C2311yescharacteristic
368D4×Dic61—21no—
369D4×Dic61—21no—
370D4×Dic61—21no—
371D4×Dic61C2311yescharacteristic
372D4×Dic61C2311yescharacteristic
373D4×Dic61C2311yescharacteristic
374C4×C22⋊D61—21no—
375C4×C22⋊D61—21no—
376C4×C22⋊D61C2311yescharacteristic
377C4×C22⋊D61C2311yescharacteristic
378#14519737—21no—
379#14519737—21no—
380#14519737—21no—
381#14519737—21no—
382#14519737—21no—
383#14519736C2311yescharacteristic
384#14519735C2311yescharacteristic
385#14519734C2311yescharacteristic
386#14519733—21no—
387C2×C4⋊Dic61C2311yescharacteristic
388C2×#11758196—21no—
389C4⋊C4×D61C2311yescharacteristic
390C4⋊C4×D61C2311yescharacteristic
391C2×C22⋊Dic61—21no—
392C2×C22⋊Dic61—21no—
393C2×#11758198—21no—
394C22⋊C4×D61—21no—
395C22⋊C4×D61—21no—
396#14519711C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519709C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519688C2311yescharacteristic
443#14519687C2311yescharacteristic
444C8×Dic61C2311yescharacteristic
445C22×D4×C61—21no—
446C22×D4×C61—21no—
447C22×D4×C61C2311yescharacteristic
448C22×D4×C61C2311yescharacteristic
449C22×D4×C61C2311yescharacteristic
450C22×D4×C61C2311yescharacteristic
451C2×D8×C61—42no—
452C2×D8×C61—42no—
453C2×D8×C61C2311yescharacteristic
454C2×D8×C61C2311yescharacteristic
455C2×D8×C61C2311yescharacteristic
456C2×D8×C61C2311yescharacteristic
457C2×D8×C61C2311yescharacteristic
458C2×D8×C61C2311yescharacteristic
459C2×D8×C61C2311yescharacteristic
460C2×D8×C61C2311yescharacteristic
461C2×D8×C61C2311yescharacteristic
462C22×C8×C61C2311yescharacteristic
463C22×C8×C61C2311yescharacteristic
464#127×C61C2311yescharacteristic
465#127×C61C2311yescharacteristic
466#121×C61—21no—
467#121×C61—21no—
468#121×C61C2311yescharacteristic
469#121×C61C2311yescharacteristic
470#121×C61C2311yescharacteristic
471#121×C61C2311yescharacteristic
472#120×C61—21no—
473#120×C61—21no—
474#120×C61—21no—
475#120×C61—21no—
476C4×D4×C61C2311yescharacteristic
477C4×D4×C61C2311yescharacteristic
478C4×D4×C61C2311yescharacteristic
479#107×C61C2311yescharacteristic
480C4⋊C8×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
489C4×C8×C61C2311yescharacteristic
490C24×C61—21no—
491C24×C61—21no—
492C24×C61—21no—
493C24×C61—21no—
494C23×D61—21no—
495C23×D61—21no—
496C23×D61—21no—
497C23×D61—21no—
498C23×D61C2×D411yescharacteristic
499C2×D4×C61—22no—
500C2×D4×C61—22no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
511C2×D4×C61—21no—
512C2×D4×C61—21no—
513C2×D4×C61—41no—
514C2×D4×C61—41no—
515C2×D4×C61—41no—
516C2×D4×C61—41no—
517C2×D4×C61—41no—
518C2×D4×C61—41no—
519C2×D4×C61—82no—
520C2×D4×C61—82no—
521C2×D4×C61C2×D411yescharacteristic
522C2×D4×C61C2411yescharacteristic
523C2×D4×C61C2411yescharacteristic
524C2×D4×C61C2411yescharacteristic
525C2×D4×C61C2411yescharacteristic
526C2×D4×C61C2411yescharacteristic
527C2×D4×C61C2411yescharacteristic
528C22×C4×C61—21no—
529C22×C4×C61—21no—
530C22×C4×C61C2411yescharacteristic
531C22×C4×C61C2411yescharacteristic
532C2×C22⋊D61—21no—
533C2×C22⋊D61—21no—
534C2×C22⋊D61—21no—
535C2×C22⋊D61—21no—
536C2×C22⋊D61—21no—
537C2×C22⋊D61—21no—
538C2×C22⋊D61—21no—
539C2×C22⋊D61—21no—
540C2×C22⋊D61—21no—
541C2×C22⋊D61—21no—
542C2×C22⋊D61—21no—
543C2×C22⋊D61—21no—
544C2×C22⋊D61—21no—
545C2×C22⋊D61—21no—
546C2×C22⋊D61—21no—
547C2×C22⋊D61—21no—
548C2×C22⋊D61—21no—
549C2×C22⋊D61—21no—
550C2×C22⋊D61—21no—
551C2×C22⋊D61—21no—
552C2×C22⋊D61—21no—
553C2×C22⋊D61—21no—
554C2×C22⋊D61—21no—
555C2×C22⋊D61—21no—
556C2×C22⋊D61—21no—
557C2×C22⋊D61—21no—
558C2×C22⋊D61—44no—
559C2×C22⋊D61—44no—
560C2×C22⋊D61—44no—
561C2×C22⋊D61—82no—
562C2×C22⋊D61—82no—
563C2×C22⋊D61—82no—
564C2×C22⋊D61—82no—
565C2×C22⋊D61C2×D411yescharacteristic
566C2×C22⋊D61C2×D411yescharacteristic
567C2×C22⋊D61C2×D411yescharacteristic
568C2×C22⋊D61C2×D411yescharacteristic
569C22×Dic61—21no—
570C22×Dic61—21no—
571C22×Dic61—21no—
572C22×Dic61—21no—
573C22×Dic61—21no—
574C22×Dic61—21no—
575C22×Dic61—21no—
576C22×Dic61—21no—
577C22×Dic61—21no—
578C22×Dic61—21no—
579C22×Dic61—44no—
580C22×Dic61C2×D411yescharacteristic
581#11758224—22no—
582#11758224—22no—
583#11758224—22no—
584#11758224—22no—
585#11758224—22no—
586#11758224—41no—
587#11758224—41no—
588#11758224—41no—
589#11758224—41no—
590#11758224—41no—
591#11758224—44no—
592#11758224—44no—
593#11758224—44no—
594D4×D61—22no—
595D4×D61—41no—
596D4×D61—41no—
597D4×D61—41no—
598D4×D61—41no—
599D4×D61—41no—
600D4×D61—41no—
601D4×D61—41no—
602D4×D61—44no—
603D4×D61—82no—
604D4×D61—82no—
605D4×D61—82no—
606#11758222—22no—
607#11758222—41no—
608#11758222—41no—
609#11758222—41no—
610C2×D244—21no—
611C2×D244—21no—
612C2×D244C2×D411yescharacteristic
613C2×D244C2×D411yescharacteristic
614C2×D244C2411yescharacteristic
615C2×D244C2411yescharacteristic
616C2×C4×D61—21no—
617C2×C4×D61—21no—
618C2×C4×D61—21no—
619C2×C4×D61—21no—
620C2×C4×D61—41no—
621C2×C4×D61—41no—
622C2×C4×D61C2×D411yescharacteristic
623C2×C4×D61C2×D411yescharacteristic
624C2×C4×D61C2411yescharacteristic
625C2×C4×D61C2411yescharacteristic
626C2×C4×D61C2411yescharacteristic
627C2×Dic122—22no—
628C2×Dic122—21no—
629C2×Dic122—41no—
630C2×Dic122C2×D411yescharacteristic
631C2×Dic122C2411yescharacteristic
632C2×Dic122C2411yescharacteristic
633D8×C61—22no—
634D8×C61—22no—
635D8×C61—22no—
636D8×C61—41no—
637D8×C61—41no—
638D8×C61—41no—
639D8×C61—41no—
640D8×C61—41no—
641D8×C61—41no—
642C2×C8×C61—41no—
643C2×C8×C61—41no—
644C2×C8×C61C2411yescharacteristic
645C2×C8×C61C2411yescharacteristic
646C2×C8×C61C2411yescharacteristic
647C2×C8×C61C2411yescharacteristic
648C4⋊C4×C61C2×D411yescharacteristic
649C4⋊C4×C61C2411yescharacteristic
650C4⋊C4×C61C2411yescharacteristic
651C22⋊C4×C61—21no—
652C22⋊C4×C61—21no—
653C22⋊C4×C61—21no—
654C22⋊C4×C61—21no—
655C22⋊C4×C61—21no—
656C22⋊C4×C61—21no—
657C22⋊C4×C61C2×D411yescharacteristic
658C22⋊C4×C61C2×D411yescharacteristic
659C42×C61C2411yescharacteristic
660C22⋊Dic61—21no—
661C22⋊Dic61—21no—
662C22⋊Dic61—21no—
663C22⋊Dic61—21no—
664C22⋊Dic61—21no—
665C22⋊Dic61—21no—
666C22⋊Dic61—21no—
667C22⋊Dic61—21no—
668C22⋊Dic61—21no—
669C22⋊Dic61—21no—
670C22⋊Dic61—21no—
671C22⋊Dic61—21no—
672C22⋊Dic61—21no—
673C22⋊Dic61—21no—
674C22⋊Dic61—21no—
675C22⋊Dic61—21no—
676C22⋊Dic61C2×D411yescharacteristic
677C22⋊Dic61C2×D411yescharacteristic
678#11758200—22no—
679#11758200—22no—
680#11758200—22no—
681#11758200—41no—
682#11758200—41no—
683#11758200—41no—
684#11758199—22no—
685#11758199—41no—
686#11758199—41no—
687#11758199—41no—
688#11758199—41no—
689#11758199—41no—
690#11758198—21no—
691#11758198—21no—
692#11758198—21no—
693#11758198—21no—
694#11758198—21no—
695#11758198—21no—
696#11758198—21no—
697#11758198—21no—
698#11758198—21no—
699#11758198—21no—
700#11758198C2×D411yescharacteristic
701#11758198C2×D411yescharacteristic
702#11758198C2×D411yescharacteristic
703#11758198C2×D411yescharacteristic
704#11758198C2×D411yescharacteristic
705#11758198C2×D411yescharacteristic
706C4⋊Dic61—21no—
707C4⋊Dic61—21no—
708C4⋊Dic61—21no—
709C4⋊Dic61C2×D411yescharacteristic
710C4⋊Dic61C2411yescharacteristic
711C4⋊Dic61C2411yescharacteristic
712C4⋊Dic61C2411yescharacteristic
713C4⋊Dic61C2411yescharacteristic
714#11758196—21no—
715#11758196—21no—
716#11758196—21no—
717#11758196—21no—
718#11758196—21no—
719#11758196—21no—
720#11758196—21no—
721#11758196—21no—
722#11758196C2×D411yescharacteristic
723#11758196C2×D411yescharacteristic
724#11758196C2×D411yescharacteristic
725#11758196C2×D411yescharacteristic
726C4×Dic61—21no—
727C4×Dic61—21no—
728C4×Dic61—21no—
729C4×Dic61—21no—
730C4×Dic61C2411yescharacteristic
731#11758194—41no—
732C2×#92418—41no—
733C2×#92418C2411yescharacteristic
734C2×#92418C2411yescharacteristic
735C2×#92418C2411yescharacteristic
736C2×#92418C2411yescharacteristic
737D488—41no—
738#11758190—22no—
739#11758190—41no—
740#11758189—41no—
741#11758189—41no—
742#11758189—41no—
743C8×D61—41no—
744C23×C61—21no—
745C23×C61—21no—
746C23×C61—21no—
747C23×C61—21no—
748C23×C61—21no—
749C23×C61—21no—
750C23×C61—42no—
751C23×C61—42no—
752C23×C61—42no—
753C23×C61—42no—
754C23×C61—81no—
755C23×C61—81no—
756C23×C61—81no—
757C23×C61—81no—
758C23×C61—81no—
759C23×C61—81no—
760C23×C61—81no—
761C23×C61—81no—
762C23×C61C22×D411yescharacteristic
763C23×C61C22×D411yescharacteristic
764C22×D61—22no—
765C22×D61—21no—
766C22×D61—21no—
767C22×D61—41no—
768C22×D61—41no—
769C22×D61—42no—
770C22×D61—42no—
771C22×D61—42no—
772C22×D61—81no—
773C22×D61—81no—
774C22×D61—81no—
775C22×D61—81no—
776C22×D61—81no—
777C22×D61—81no—
778C22×D61—81no—
779C22×D61—81no—
780C22×D61—81no—
781C22×D61C22×D411yescharacteristic
782C22×D61C22×D411yescharacteristic
783C22×D61C22×D411yescharacteristic
784D4×C61—22no—
785D4×C61—21no—
786D4×C61—21no—
787D4×C61—21no—
788D4×C61—21no—
789D4×C61—21no—
790D4×C61—21no—
791D4×C61—21no—
792D4×C61—21no—
793D4×C61—21no—
794D4×C61—21no—
795D4×C61—21no—
796D4×C61—42no—
797D4×C61—42no—
798D4×C61—42no—
799D4×C61—42no—
800D4×C61—81no—
801D4×C61—81no—
802D4×C61—81no—
803D4×C61—81no—
804D4×C61—81no—
805D4×C61—81no—
806D4×C61—81no—
807D4×C61—81no—
808D4×C61H(5,𝔽2)12yes—
809C2×C4×C61—21no—
810C2×C4×C61—21no—
811C2×C4×C61—21no—
812C2×C4×C61—21no—
813C2×C4×C61—21no—
814C2×C4×C61—21no—
815C2×C4×C61—81no—
816C2×C4×C61—81no—
817C2×C4×C61C22×D411yescharacteristic
818C2×C4×C61C22×D411yescharacteristic
819C2×C4×C61C22×D411yescharacteristic
820C2×C4×C61C22×D411yescharacteristic
821C2×C4×C61C2511yescharacteristic
822C22⋊D61—24no—
823C22⋊D61—22no—
824C22⋊D61—41no—
825C22⋊D61—41no—
826C22⋊D61—41no—
827C22⋊D61—42no—
828C22⋊D61—42no—
829C22⋊D61—42no—
830C22⋊D61—42no—
831C22⋊D61—42no—
832C22⋊D61—42no—
833C22⋊D61—42no—
834C22⋊D61—42no—
835C22⋊D61—42no—
836C22⋊D61—42no—
837C22⋊D61—42no—
838C22⋊D61—81no—
839C22⋊D61—81no—
840C22⋊D61—81no—
841C22⋊D61—81no—
842C22⋊D61—81no—
843C22⋊D61—81no—
844C22⋊D61—81no—
845C22⋊D61—81no—
846C22⋊D61—81no—
847C22⋊D61—81no—
848C22⋊D61—81no—
849C22⋊D61—81no—
850C22⋊D61—81no—
851C22⋊D61—81no—
852C2×Dic61—24no—
853C2×Dic61—21no—
854C2×Dic61—21no—
855C2×Dic61—21no—
856C2×Dic61—21no—
857C2×Dic61—21no—
858C2×Dic61—21no—
859C2×Dic61—41no—
860C2×Dic61—42no—
861C2×Dic61—42no—
862C2×Dic61—42no—
863C2×Dic61—42no—
864C2×Dic61—42no—
865C2×Dic61—81no—
866C2×Dic61—81no—
867C2×Dic61—81no—
868C2×Dic61—81no—
869C2×Dic61C22×D411yescharacteristic
870C2×Dic61C22×D411yescharacteristic
871C2×Dic61C22×D411yescharacteristic
872C2×Dic61C22×D411yescharacteristic
873C2×Dic61C22×D411yescharacteristic
874D244—21no—
875D244—21no—
876D244—21no—
877D244—21no—
878D244—41no—
879D244—41no—
880D244—81no—
881D244—81no—
882C4×D61—21no—
883C4×D61—21no—
884C4×D61—21no—
885C4×D61—21no—
886C4×D61—21no—
887C4×D61—21no—
888C4×D61—41no—
889C4×D61—41no—
890C4×D61—42no—
891C4×D61—81no—
892C4×D61—81no—
893C4×D61—81no—
894Dic122—21no—
895Dic122—21no—
896Dic122—21no—
897Dic122—41no—
898Dic122—42no—
899Dic122H(5,𝔽2)12yes—
900C8×C61—21no—
901C8×C61—21no—
902C8×C61—21no—
903C8×C61—21no—
904#92418—21no—
905#92418—21no—
906#92418—21no—
907#92418—21no—
908#61617—611nomaximal, Sylow
909C22×C61—21no—
910C22×C61—21no—
911C22×C61—21no—
912C22×C61—22no—
913C22×C61—21no—
914C22×C61—21no—
915C22×C61—41no—
916C22×C61—41no—
917C22×C61—41no—
918C22×C61—41no—
919C22×C61—41no—
920C22×C61—41no—
921C22×C61—41no—
922C22×C61—41no—
923C22×C61—41no—
924C22×C61—41no—
925C22×C61—41no—
926C22×C61—41no—
927C22×C61—41no—
928C22×C61—41no—
929C22×C61—41no—
930C22×C61—41no—
931C22×C61—41no—
932C22×C61—84no—
933C22×C61—162no—
934C22×C61—162no—
935C22×C61—162no—
936C22×C61#57612yes—
937C22×C61C23×D411yescharacteristic
938C2×D61—21no—
939C2×D61—21no—
940C2×D61—21no—
941C2×D61—21no—
942C2×D61—21no—
943C2×D61—21no—
944C2×D61—21no—
945C2×D61—21no—
946C2×D61—21no—
947C2×D61—41no—
948C2×D61—41no—
949C2×D61—41no—
950C2×D61—41no—
951C2×D61—41no—
952C2×D61—41no—
953C2×D61—82no—
954C2×D61—162no—
955C2×D61—162no—
956C2×D61—162no—
957C2×D61—162no—
958C4×C61—21no—
959C4×C61—21no—
960C4×C61—21no—
961C4×C61—21no—
962C4×C61—41no—
963C4×C61—41no—
964C4×C61C2×H(5,𝔽2)11yescharacteristic
965C4×C61C2×H(5,𝔽2)11yescharacteristic
966Dic61—21no—
967Dic61—22no—
968Dic61—21no—
969Dic61—21no—
970Dic61—21no—
971Dic61—21no—
972Dic61—41no—
973Dic61—41no—
974Dic61—41no—
975Dic61—41no—
976Dic61—41no—
977#3537—611no—
978#3488—611no—
979#3322—611no—
980#3322—611no—
981#3318—611no—
982#3318—611no—
983#3309—611no—
984#3309—611no—
985#3301—611no—
986#3301—611no—
987D4×D8—611no—
988D4×D8D6111yescharacteristic, complemented
989#3274—611no—
990#3274—611no—
991#3265—611no—
992#3265—611no—
993#3264—611no—
994#3264—611no—
995#3220—611no—
996#3220—611no—
997#3198—611no—
998#3198—611no—
999#3192—611no—
1000#3186—611no—
1001#3119—611no—
1002#3119—611no—
1003#3008—611no—
1004#3008—611no—
1005#3006—611no—
1006C2×#449—611no—
1007#2976—611no—
1008C2×C61—22no—
1009C2×C61—42no—
1010C2×C61—41no—
1011C2×C61—81no—
1012C2×C61—81no—
1013C2×C61—81no—
1014C2×C61—81no—
1015C2×C61—81no—
1016C2×C61#348411yescharacteristic
1017C2×C61C2×#57611yescharacteristic
1018C2×C61#358511yescharacteristic
1019D61—41no—
1020D61—41no—
1021D61—41no—
1022D61—81no—
1023D61—81no—
1024C2×H(5,𝔽2)—611no—
1025C22×#41—611no—
1026C2×AGL(1,ℤ/8)—611no—
1027C2×AGL(1,ℤ/8)—611no—
1028C2×AGL(1,ℤ/8)—611no—
1029C2×AGL(1,ℤ/8)—611no—
1030C22×SD16—611no—
1031C22×D8—611no—
1032C22×D8C2×D6111yescharacteristic, complemented
1033C22×D8C2×D6111yescharacteristic, complemented
1034#560—1221no—
1035#560—1221no—
1036#553—611no—
1037#553—611no—
1038#553—611no—
1039#553—611no—
1040#550—611no—
1041#550—611no—
1042#548—611no—
1043#548—611no—
1044#546—611no—
1045#546—611no—
1046#546—1221no—
1047#546—1221no—
1048D42—611no—
1049D42—611no—
1050D42—611no—
1051D42—611no—
1052D42—1221no—
1053D42—1221no—
1054D42—1221no—
1055D42—1221no—
1056D42C2×D6111yescharacteristic, complemented
1057D42C2×D6111yescharacteristic, complemented
1058#540—611no—
1059#540—611no—
1060#538—1221no—
1061#538—1221no—
1062#537—611no—
1063#537—1221no—
1064#535—611no—
1065#535—611no—
1066#535—611no—
1067#535—1221no—
1068#534—1221no—
1069#534—1221no—
1070#525—611no—
1071#525—1221no—
1072C2×#121—611no—
1073C2×#121—611no—
1074C2×#121—611no—
1075C2×#121—1221no—
1076#520—611no—
1077#496—611no—
1078#496—611no—
1079#493—611no—
1080#493C2×D6111yescharacteristic, complemented
1081#490—611no—
1082#490—611no—
1083#488—611no—
1084#488—611no—
1085#485—611no—
1086#485—611no—
1087#482—611no—
1088#482—611no—
1089#481—611no—
1090#481—611no—
1091#481—611no—
1092#481—611no—
1093#480—611no—
1094#480—611no—
1095#480—611no—
1096#480—611no—
1097#479—611no—
1098#479—611no—
1099#478—611no—
1100#478—611no—
1101#469—611no—
1102#469—611no—
1103#469—611no—
1104#469—611no—
1105#469—611no—
1106#469—611no—
1107#468—611no—
1108#468—611no—
1109#466—611no—
1110#466—611no—
1111#466—611no—
1112#466—611no—
1113#466C2×D6111yescharacteristic, complemented
1114#466C2×D6111yescharacteristic, complemented
1115#465—611no—
1116#465—611no—
1117#463—611no—
1118#463—611no—
1119#463—611no—
1120#463—611no—
1121#460—611no—
1122#460—611no—
1123#459—611no—
1124#459—611no—
1125#459—611no—
1126#459—611no—
1127#459C2×D6111yescharacteristic, complemented
1128#459C2×D6111yescharacteristic, complemented
1129#450—611no—
1130#450—611no—
1131#449—611no—
1132#449—611no—
1133#449—611no—
1134#449—611no—
1135#449—611no—
1136#449—611no—
1137#449—611no—
1138#449—611no—
1139#449—611no—
1140#449—611no—
1141#449—611no—
1142#449—611no—
1143#449—611no—
1144#449—611no—
1145#449—611no—
1146#449—611no—
1147#448—611no—
1148#448—611no—
1149#447—611no—
1150#447—611no—
1151#447—611no—
1152#447—611no—
1153#447—611no—
1154#447—611no—
1155#447—611no—
1156#447—611no—
1157#447—611no—
1158#447—611no—
1159#447—611no—
1160#447—611no—
1161#447C2×D6111yescharacteristic, complemented
1162#447C2×D6111yescharacteristic, complemented
1163#447C2×D6111yescharacteristic, complemented
1164#447C2×D6111yescharacteristic, complemented
1165#442—611no—
1166#442—611no—
1167#440—611no—
1168#440—611no—
1169C4×SD16—611no—
1170C4×SD16—611no—
1171C4×D8—611no—
1172C4×D8C2×D6111yescharacteristic, complemented
1173#436—611no—
1174#436—611no—
1175#435—611no—
1176#435—611no—
1177#435—611no—
1178#435—611no—
1179C8×D4—611no—
1180C8×D4C2×D6111yescharacteristic, complemented
1181#433—611no—
1182#433—611no—
1183#418—611no—
1184#418—611no—
1185#417—611no—
1186#417—611no—
1187#416—611no—
1188#416—611no—
1189C2×#103—611no—
1190C2×#102—611no—
1191#408—611no—
1192#408—611no—
1193#407—611no—
1194C2×C22⋊C8—611no—
1195C61#6161711yescharacteristic, complemented, Sylow
1196H(5,𝔽2)—2442no—
1197H(5,𝔽2)—2442no—
1198C2×#41—611no—
1199C2×#41—611no—
1200C2×#41—611no—
1201C2×#41—611no—
1202C2×#41—611no—
1203C2×#41—611no—
1204C2×#41—611no—
1205C2×#41—1221no—
1206C2×#41—1221no—
1207C2×#41—1221no—
1208C2×#41—2442no—
1209C2×#41—2442no—
1210C22×Q8—611no—
1211C22×D4—21no—
1212C22×D4—21no—
1213C22×D4—611no—
1214C22×D4—611no—
1215C22×D4—611no—
1216C22×D4—611no—
1217C22×D4—1221no—
1218C22×D4—1221no—
1219C22×D4—1221no—
1220C22×D4—1221no—
1221C22×D4—1221no—
1222C22×D4—1221no—
1223C22×D4—1221no—
1224C22×D4—1221no—
1225C22×D4—1221no—
1226C22×D4—1221no—
1227C22×D4—1221no—
1228C22×D4C22×D6111yescharacteristic
1229C22×D4C22×D6111yescharacteristic
1230C22×D4C22×D6111yescharacteristic
1231C22×D4C22×D6111yescharacteristic
1232C23×C4—611no—
1233C23×C4—1221no—
1234AGL(1,ℤ/8)—2442no—
1235AGL(1,ℤ/8)—2442no—
1236AGL(1,ℤ/8)—2442no—
1237AGL(1,ℤ/8)—2442no—
1238C2×SD16—611no—
1239C2×SD16—611no—
1240C2×SD16—611no—
1241C2×SD16—611no—
1242C2×SD16—611no—
1243C2×SD16—611no—
1244C2×SD16—611no—
1245C2×SD16—611no—
1246C2×SD16—2442no—
1247C2×D8—42no—
1248C2×D8—42no—
1249C2×D8—611no—
1250C2×D8—611no—
1251C2×D8—611no—
1252C2×D8—611no—
1253C2×D8—611no—
1254C2×D8—611no—
1255C2×D8—611no—
1256C2×D8—2442no—
1257C2×D8C22×D6111yescharacteristic
1258C2×D8C22×D6111yescharacteristic
1259C2×D8C22×D6111yescharacteristic
1260C2×D8C22×D6111yescharacteristic
1261C2×D8C22×D6111yescharacteristic
1262C2×D8C22×D6111yescharacteristic
1263C2×D8C22×D6111yescharacteristic
1264C2×D8C22×D6111yescharacteristic
1265C2×D8C22×D6111yescharacteristic
1266C2×M16—611no—
1267C2×M16—611no—
1268C2×M16—611no—
1269C2×M16—611no—
1270C22×C8—611no—
1271C22×C8—611no—
1272C22×C8C22×D6111yescharacteristic
1273C22×C8C22×D6111yescharacteristic
1274#127—611no—
1275#127—611no—
1276#127—1221no—
1277#127—1221no—
1278#127—1221no—
1279#127—1221no—
1280#127C22×D6111yescharacteristic
1281#127C22×D6111yescharacteristic
1282#126—1221no—
1283#126—1221no—
1284#126—1221no—
1285#126—1221no—
1286#125—611no—
1287#125—611no—
1288#124—611no—
1289#124—611no—
1290#124—1221no—
1291#124—1221no—
1292#124—1221no—
1293#124—1221no—
1294#123—611no—
1295#123—611no—
1296#123—1221no—
1297#123—1221no—
1298#123—1221no—
1299#123—1221no—
1300#123—1221no—
1301#123—1221no—
1302#123—1221no—
1303#123—1221no—
1304#123—1221no—
1305#123—1221no—
1306C22⋊Q8—611no—
1307C22⋊Q8—611no—
1308C22⋊Q8—611no—
1309C22⋊Q8—611no—
1310C22⋊Q8—1221no—
1311C22⋊Q8—1221no—
1312C22⋊Q8—1221no—
1313#121—21no—
1314#121—21no—
1315#121—611no—
1316#121—611no—
1317#121—611no—
1318#121—611no—
1319#121—611no—
1320#121—611no—
1321#121—611no—
1322#121—611no—
1323#121—611no—
1324#121—611no—
1325#121—611no—
1326#121—611no—
1327#121—611no—
1328#121—611no—
1329#121—611no—
1330#121—611no—
1331#121—1221no—
1332#121—1221no—
1333#121—1221no—
1334#121—1221no—
1335#121—1221no—
1336#121—1221no—
1337#121—1221no—
1338#121—1221no—
1339#121—1221no—
1340#121—1221no—
1341#121—1221no—
1342#121—1221no—
1343#121—1221no—
1344#121—1221no—
1345#121—1221no—
1346#121—1221no—
1347#121—1221no—
1348#121—1221no—
1349#121—1221no—
1350#121—1221no—
1351#121—1221no—
1352#121—1221no—
1353#121—1221no—
1354#121—1221no—
1355#121—1221no—
1356#121—1221no—
1357#121—1221no—
1358#121—1221no—
1359#121—1221no—
1360#121—1221no—
1361#121—1221no—
1362#121C22×D6111yescharacteristic
1363#121C22×D6111yescharacteristic
1364#121C22×D6111yescharacteristic
1365#121C22×D6111yescharacteristic
1366#120—21no—
1367#120—21no—
1368#120—21no—
1369#120—21no—
1370#120—611no—
1371#120—611no—
1372#120—1221no—
1373#120—1221no—
1374#120—1221no—
1375#120—1221no—
1376#120—1221no—
1377#120—1221no—
1378#120—1221no—
1379#120—1221no—
1380#120—1221no—
1381#120—1221no—
1382#120—1221no—
1383#120—1221no—
1384#120—1221no—
1385#120—1221no—
1386#120—1221no—
1387#120—1221no—
1388C4×Q8—611no—
1389C4×Q8—611no—
1390C4×D4—611no—
1391C4×D4—611no—
1392C4×D4—611no—
1393C4×D4—611no—
1394C4×D4—611no—
1395C4×D4—611no—
1396C4×D4—611no—
1397C4×D4—1221no—
1398C4×D4—1221no—
1399C4×D4—1221no—
1400C4×D4—1221no—
1401C4×D4—1221no—
1402C4×D4—1221no—
1403C4×D4—1221no—
1404C4×D4—1221no—
1405C4×D4—1221no—
1406C4×D4—1221no—
1407C4×D4C22×D6111yescharacteristic
1408C4×D4C22×D6111yescharacteristic
1409C4×D4C22×D6111yescharacteristic
1410#117—611no—
1411#117—611no—
1412#117—611no—
1413#117—1221no—
1414C2×C4⋊C4—611no—
1415C2×C4⋊C4—611no—
1416C2×C4⋊C4—611no—
1417C2×C4⋊C4—1221no—
1418C2×C22⋊C4—1221no—
1419C2×C22⋊C4—1221no—
1420C2×C22⋊C4—1221no—
1421C2×C22⋊C4—1221no—
1422C2×C22⋊C4—1221no—
1423#107—611no—
1424#107—611no—
1425#107—611no—
1426#107C22×D6111yescharacteristic
1427#106—611no—
1428#106—611no—
1429#106—611no—
1430#106—611no—
1431C4⋊C8—611no—
1432C4⋊C8—611no—
1433C4⋊C8—611no—
1434C4⋊C8C22×D6111yescharacteristic
1435#103—611no—
1436#103—611no—
1437#103—611no—
1438#103—611no—
1439#103—611no—
1440#103—611no—
1441#103—611no—
1442#103—611no—
1443#102—611no—
1444#102—611no—
1445#102—611no—
1446#102—611no—
1447#102—611no—
1448#102—611no—
1449#102—611no—
1450#102—611no—
1451#102—611no—
1452#102—611no—
1453#102—611no—
1454#102—611no—
1455#102—611no—
1456#102—611no—
1457#102—611no—
1458#102—611no—
1459#102—611no—
1460#102—611no—
1461#102C22×D6111yescharacteristic
1462#102C22×D6111yescharacteristic
1463#102C22×D6111yescharacteristic
1464#102C22×D6111yescharacteristic
1465#102C22×D6111yescharacteristic
1466#102C22×D6111yescharacteristic
1467C22⋊C8—611no—
1468C22⋊C8—611no—
1469C22⋊C8—611no—
1470C22⋊C8—611no—
1471C22⋊C8—611no—
1472C22⋊C8—611no—
1473C22⋊C8—611no—
1474C22⋊C8—611no—
1475C22⋊C8—611no—
1476C22⋊C8—611no—
1477C22⋊C8C22×D6111yescharacteristic
1478C22⋊C8C22×D6111yescharacteristic
1479#97—611no—
1480#97—611no—
1481C4×C8—611no—
1482C4×C8C22×D6111yescharacteristic
1483C24—21no—
1484C24—21no—
1485C24—21no—
1486C24—21no—
1487C24—611no—
1488C24—1221no—
1489C24—1221no—
1490C24—1221no—
1491C24—1221no—
1492#41—1222no—
1493#41—1222no—
1494#41—1222no—
1495#41—1222no—
1496#41—1222no—
1497#41—1222no—
1498#41—2441no—
1499#41—2441no—
1500#41—2441no—
1501#41—2441no—
1502#41—2441no—
1503#41—2441no—
1504#41—2441no—
1505#41—2441no—
1506#41—2444no—
1507#41—2444no—
1508#41—2444no—
1509C2×Q8—611no—
1510C2×Q8—611no—
1511C2×Q8—611no—
1512C2×Q8—1222no—
1513C2×Q8—1221no—
1514C2×Q8—2441no—
1515C2×D4—22no—
1516C2×D4—22no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—41no—
1530C2×D4—41no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—41no—
1534C2×D4—41no—
1535C2×D4—82no—
1536C2×D4—82no—
1537C2×D4—611no—
1538C2×D4—611no—
1539C2×D4—611no—
1540C2×D4—611no—
1541C2×D4—611no—
1542C2×D4—611no—
1543C2×D4—611no—
1544C2×D4—611no—
1545C2×D4—1221no—
1546C2×D4—1221no—
1547C2×D4—1221no—
1548C2×D4—1221no—
1549C2×D4—1221no—
1550C2×D4—1221no—
1551C2×D4—1221no—
1552C2×D4—1221no—
1553C2×D4—1221no—
1554C2×D4—1221no—
1555C2×D4—1221no—
1556C2×D4—1222no—
1557C2×D4—1221no—
1558C2×D4—1221no—
1559C2×D4—1221no—
1560C2×D4—1221no—
1561C2×D4—1221no—
1562C2×D4—1221no—
1563C2×D4—1221no—
1564C2×D4—1221no—
1565C2×D4—1221no—
1566C2×D4—1221no—
1567C2×D4—1221no—
1568C2×D4—1221no—
1569C2×D4—1221no—
1570C2×D4—1221no—
1571C2×D4—1221no—
1572C2×D4—1221no—
1573C2×D4—1221no—
1574C2×D4—4882no—
1575C2×D4—4882no—
1576C2×D4—4882no—
1577C2×D4—4882no—
1578C2×D4—4882no—
1579C2×D4—4882no—
1580C2×D4—4882no—
1581C2×D4—2441no—
1582C2×D4—2441no—
1583C2×D4—2441no—
1584C2×D4—2441no—
1585C2×D4—2441no—
1586C2×D4—2441no—
1587C2×D4—2441no—
1588C2×D4—2444no—
1589C2×D4—2444no—
1590C2×D4—2444no—
1591C2×D4—2444no—
1592C2×D4D4×D6111yescharacteristic
1593C2×D4C23×D6111yescharacteristic
1594C2×D4C23×D6111yescharacteristic
1595C2×D4C23×D6111yescharacteristic
1596C2×D4C23×D6111yescharacteristic
1597C2×D4C23×D6111yescharacteristic
1598C2×D4C23×D6111yescharacteristic
1599C22×C4—21no—
1600C22×C4—21no—
1601C22×C4—611no—
1602C22×C4—611no—
1603C22×C4—611no—
1604C22×C4—611no—
1605C22×C4—611no—
1606C22×C4—611no—
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—2441no—
1622C22×C4—2441no—
1623C22×C4—2444no—
1624C22×C4C23×D6111yescharacteristic
1625C22×C4C23×D6111yescharacteristic
1626SD16—1222no—
1627SD16—1222no—
1628SD16—1222no—
1629SD16—1222no—
1630SD16—2441no—
1631SD16—2441no—
1632SD16—2441no—
1633SD16—2441no—
1634D8—22no—
1635D8—22no—
1636D8—22no—
1637D8—41no—
1638D8—41no—
1639D8—41no—
1640D8—41no—
1641D8—41no—
1642D8—41no—
1643D8—1222no—
1644D8—2441no—
1645D8—2441no—
1646D8—2441no—
1647D8—2441no—
1648D8—2441no—
1649D8—2441no—
1650M16—2441no—
1651M16—2441no—
1652M16—2441no—
1653M16—2441no—
1654C2×C8—41no—
1655C2×C8—41no—
1656C2×C8—611no—
1657C2×C8—611no—
1658C2×C8—611no—
1659C2×C8—611no—
1660C2×C8—2441no—
1661C2×C8—2441no—
1662C2×C8C23×D6111yescharacteristic
1663C2×C8C23×D6111yescharacteristic
1664C2×C8C23×D6111yescharacteristic
1665C2×C8C23×D6111yescharacteristic
1666C4⋊C4—611no—
1667C4⋊C4—611no—
1668C4⋊C4—611no—
1669C4⋊C4—611no—
1670C4⋊C4—611no—
1671C4⋊C4—611no—
1672C4⋊C4—611no—
1673C4⋊C4—611no—
1674C4⋊C4—611no—
1675C4⋊C4—1221no—
1676C4⋊C4—1221no—
1677C4⋊C4—1221no—
1678C4⋊C4—1221no—
1679C4⋊C4—1221no—
1680C4⋊C4—1221no—
1681C4⋊C4—1221no—
1682C4⋊C4—1221no—
1683C4⋊C4—1221no—
1684C4⋊C4—1221no—
1685C4⋊C4—1221no—
1686C4⋊C4D4×D6111yescharacteristic
1687C4⋊C4C23×D6111yescharacteristic
1688C4⋊C4C23×D6111yescharacteristic
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—611no—
1696C22⋊C4—611no—
1697C22⋊C4—611no—
1698C22⋊C4—611no—
1699C22⋊C4—611no—
1700C22⋊C4—611no—
1701C22⋊C4—611no—
1702C22⋊C4—611no—
1703C22⋊C4—1221no—
1704C22⋊C4—1221no—
1705C22⋊C4—1221no—
1706C22⋊C4—1221no—
1707C22⋊C4—1221no—
1708C22⋊C4—1221no—
1709C22⋊C4—1221no—
1710C22⋊C4—1221no—
1711C22⋊C4—1221no—
1712C22⋊C4—1221no—
1713C22⋊C4—1221no—
1714C22⋊C4—1221no—
1715C22⋊C4—1221no—
1716C22⋊C4—1221no—
1717C22⋊C4—1221no—
1718C22⋊C4—1221no—
1719C22⋊C4—1221no—
1720C22⋊C4—1221no—
1721C22⋊C4—1221no—
1722C22⋊C4—1221no—
1723C22⋊C4—1221no—
1724C22⋊C4—1221no—
1725C22⋊C4—1221no—
1726C22⋊C4—1221no—
1727C22⋊C4—1221no—
1728C22⋊C4—1221no—
1729C22⋊C4D4×D6111yescharacteristic
1730C22⋊C4D4×D6111yescharacteristic
1731C42—611no—
1732C42—1221no—
1733C42—1221no—
1734C42—1221no—
1735C42—1221no—
1736C42C23×D6111yescharacteristic
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—42no—
1744C23—42no—
1745C23—42no—
1746C23—42no—
1747C23—81no—
1748C23—81no—
1749C23—81no—
1750C23—81no—
1751C23—81no—
1752C23—81no—
1753C23—81no—
1754C23—81no—
1755C23—611no—
1756C23—611no—
1757C23—611no—
1758C23—1222no—
1759C23—1221no—
1760C23—1221no—
1761C23—4881no—
1762C23—4881no—
1763C23—4881no—
1764C23—4881no—
1765C23—4881no—
1766C23—4881no—
1767C23—4881no—
1768C23—4881no—
1769C23—4881no—
1770C23—2441no—
1771C23—2441no—
1772C23—2442no—
1773C23—2442no—
1774C23—2442no—
1775C23C2×D4×D6111yescharacteristic
1776C23C2×D4×D6111yescharacteristic
1777Q8—612no—
1778Q8—1221no—
1779Q8—1221no—
1780Q8—1221no—
1781Q8—2441no—
1782Q8—2442no—
1783D4—22no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—21no—
1792D4—21no—
1793D4—21no—
1794D4—21no—
1795D4—42no—
1796D4—42no—
1797D4—42no—
1798D4—42no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4—81no—
1807D4—1224no—
1808D4—1222no—
1809D4—1221no—
1810D4—1221no—
1811D4—1221no—
1812D4—1221no—
1813D4—4881no—
1814D4—4881no—
1815D4—4881no—
1816D4—4881no—
1817D4—4881no—
1818D4—4881no—
1819D4—4881no—
1820D4—4881no—
1821D4—4881no—
1822D4—4881no—
1823D4—4881no—
1824D4—4881no—
1825D4—4881no—
1826D4—4881no—
1827D4—4881no—
1828D4—4881no—
1829D4—2441no—
1830D4—2441no—
1831D4—2441no—
1832D4—2441no—
1833D4—2441no—
1834D4—2442no—
1835D4—2442no—
1836D4—2442no—
1837D4—2442no—
1838D4—2442no—
1839D4—2442no—
1840D4—2442no—
1841D4—2442no—
1842D4—2442no—
1843D4—2442no—
1844D4—2442no—
1845D4#1451982212yes—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—81no—
1853C2×C4—81no—
1854C2×C4—611no—
1855C2×C4—611no—
1856C2×C4—611no—
1857C2×C4—611no—
1858C2×C4—611no—
1859C2×C4—1224no—
1860C2×C4—1221no—
1861C2×C4—1221no—
1862C2×C4—1221no—
1863C2×C4—1221no—
1864C2×C4—1221no—
1865C2×C4—1221no—
1866C2×C4—1221no—
1867C2×C4—1221no—
1868C2×C4—1221no—
1869C2×C4—1221no—
1870C2×C4—1221no—
1871C2×C4—1221no—
1872C2×C4—4881no—
1873C2×C4—4881no—
1874C2×C4—4881no—
1875C2×C4—4881no—
1876C2×C4—4881no—
1877C2×C4—4881no—
1878C2×C4—4881no—
1879C2×C4—2441no—
1880C2×C4—2441no—
1881C2×C4—2442no—
1882C2×C4—2441no—
1883C2×C4—2442no—
1884C2×C4—2442no—
1885C2×C4—2442no—
1886C2×C4—2442no—
1887C2×C4—2442no—
1888C2×C4C2×D4×D6111yescharacteristic
1889C2×C4C2×D4×D6111yescharacteristic
1890C2×C4C2×D4×D6111yescharacteristic
1891C2×C4C2×D4×D6111yescharacteristic
1892C2×C4C24×D6111yescharacteristic
1893C8—21no—
1894C8—21no—
1895C8—21no—
1896C8—21no—
1897C8—1221no—
1898C8—1221no—
1899C8—1221no—
1900C8—1221no—
1901C22—21no—
1902C22—21no—
1903C22—21no—
1904C22—21no—
1905C22—21no—
1906C22—22no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—84no—
1925C22—162no—
1926C22—162no—
1927C22—162no—
1928C22—1221no—
1929C22—1221no—
1930C22—1221no—
1931C22—1221no—
1932C22—1221no—
1933C22—1221no—
1934C22—1221no—
1935C22—1221no—
1936C22—1221no—
1937C22—9762no—
1938C22—9762no—
1939C22—9762no—
1940C22—9762no—
1941C22—4882no—
1942C22—2441no—
1943C22—2441no—
1944C22—2441no—
1945C22—2441no—
1946C22—2441no—
1947C22—2441no—
1948C22#1684056312yes—
1949C22C22×D4×D6111yescharacteristic
1950C4—21no—
1951C4—21no—
1952C4—21no—
1953C4—21no—
1954C4—41no—
1955C4—41no—
1956C4—1221no—
1957C4—1221no—
1958C4—1221no—
1959C4—1221no—
1960C4—1221no—
1961C4—1222no—
1962C4—2441no—
1963C4—2441no—
1964C4—2441no—
1965C4—2441no—
1966C4—2441no—
1967C4H(5,𝔽2)×D6111yescharacteristic
1968C4C2×#1451982211yescharacteristic
1969C2—22no—
1970C2—41no—
1971C2—42no—
1972C2—81no—
1973C2—81no—
1974C2—81no—
1975C2—81no—
1976C2—81no—
1977C2—4881no—
1978C2—4881no—
1979C2—2441no—
1980C2—2441no—
1981C2—2441no—
1982C2#2145944711yescharacteristic
1983C2C2×#1684056311yescharacteristic
1984C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingD4×D8×C61C2
socleC22×C61C23×D4
hypercenterD4×D8D61
hypocenterC61#61617
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×D8

Complements

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

NH ≅ G/Ntype
1. #21460050C2semidirect
2. #21459479C2semidirect
3. #21458025C2semidirect
4. #21458024C2semidirect
5. #21457964C2semidirect
6. #21457960C2semidirect
7. #21457832C2semidirect
8. #21457831C2semidirect
9. #21457727C2semidirect
10. #21457723C2semidirect
11. D8×C22⋊D61C2semidirect
12. #21457438C2semidirect
13. #21457437C2semidirect
14. #21457318C2semidirect
15. #21457310C2semidirect
16. #21457299C2semidirect
17. #21457294C2semidirect
18. #21456868C2semidirect
19. #21456862C2semidirect
20. #21456667C2semidirect
21. #21456664C2semidirect
22. #21456617C2semidirect
23. #21456566C2semidirect
24. #21456015C2semidirect
25. #21456014C2semidirect
26. #21455083C2semidirect
27. #21455082C2semidirect
28. #21455066C2semidirect
29. C2×#16839904C2semidirect
30. #21454861C2semidirect
31. D4×D8×C61C2semidirect
32. C2×#14519822C22semidirect
33. C22×#11758224C22semidirect
34. C2×#14519803C22semidirect
35. C2×#14519801C22semidirect
36. C2×#14519801C22semidirect
37. C2×#14519801C22semidirect
38. C22×#11758200C22semidirect
39. C2×D8×D61C22semidirect
42. #16840464C22semidirect
43. #16840462C22semidirect
44. #16840459C22semidirect
45. #16840458C22semidirect
46. #16840432C22semidirect
47. #16840430C22semidirect
48. #16840421C22semidirect
49. #16840418C22semidirect
50. #16840407C22semidirect
51. #16840406C22semidirect
54. #16840397C22semidirect
57. D4×C22⋊D61C22semidirect
58. D4×C22⋊D61C22semidirect
59. D4×C22⋊D61C22semidirect
62. #16840366C22semidirect
63. #16840363C22semidirect
66. #16840341C22semidirect
68. #16840329C22semidirect
69. #16840328C22semidirect
71. #16840325C22semidirect
77. C2×#14519748C22semidirect
78. #121×D61C22semidirect
79. #121×D61C22semidirect
80. #16840241C22semidirect
81. #16840150C22semidirect
82. #16840149C22semidirect
83. #16840137C22semidirect
84. #16840126C22semidirect
85. #16840125C22semidirect
86. #16840117C22semidirect
87. #16840115C22semidirect
88. #16840105C22semidirect
89. #16840104C22semidirect
90. #16840085C22semidirect
91. #16840083C22semidirect
92. #16840081C22semidirect
93. #16840079C22semidirect
94. #16840079C22semidirect
95. #16840078C22semidirect
96. #16840077C22semidirect
97. #16840077C22semidirect
98. #16840074C22semidirect
99. #16840074C22semidirect
100. #16840070C22semidirect
101. #16840068C22semidirect
102. #16840064C22semidirect
103. #16840062C22semidirect
104. #16840014C22semidirect
105. #16840014C22semidirect
106. #16840013C22semidirect
107. #16840012C22semidirect
108. #16840012C22semidirect
109. #16840012C22semidirect
110. #16840007C22semidirect
111. #16840006C22semidirect
112. #16839998C22semidirect
113. #16839996C22semidirect
114. #16839996C22semidirect
115. #16839995C22semidirect
116. #16839991C22semidirect
117. #16839990C22semidirect
118. #16839978C22semidirect
119. #16839977C22semidirect
120. #16839975C22semidirect
121. #16839975C22semidirect
122. #16839961C22semidirect
123. #16839959C22semidirect
124. #16839955C22semidirect
125. #16839955C22semidirect
126. #16839955C22semidirect
127. #16839954C22semidirect
128. #16839914C22semidirect
129. #16839913C22semidirect
130. #16839909C22semidirect
131. #16839908C22semidirect
132. #16839908C22semidirect
133. #16839905C22semidirect
134. #16839904C22semidirect
135. #16839904C22semidirect
136. #16839904C22semidirect
137. #16839904C22semidirect
138. #16839904C22semidirect
139. #16839904C22semidirect
140. #16839904C22semidirect
141. #16839904C22semidirect
142. #16839904C22semidirect
143. #16839904C22semidirect
144. #16839904C22semidirect
145. #16839904C22semidirect
146. #16839903C22semidirect
147. #16839900C22semidirect
148. #16839897C22semidirect
149. #16839897C22semidirect
150. #16839896C22semidirect
151. #16839896C22semidirect
152. #16839896C22semidirect
153. #16839894C22semidirect
154. #16839894C22semidirect
155. #16839894C22semidirect
156. #16839894C22semidirect
157. #16839894C22semidirect
158. #16839894C22semidirect
159. #16839894C22semidirect
160. #16839874C22semidirect
161. #16839872C22semidirect
162. #16839862C22semidirect
163. #16839859C22semidirect
164. #16839853C22semidirect
165. C4×#11758190C22semidirect
166. D8×Dic61C22semidirect
167. #16839841C22semidirect
168. #16839837C22semidirect
169. #16839834C22semidirect
170. #16839833C22semidirect
171. #16839832C22semidirect
172. #16839830C22semidirect
173. C8×C22⋊D61C22semidirect
174. #16839822C22semidirect
175. #16839821C22semidirect
176. #16839767C22semidirect
177. #16839765C22semidirect
178. #16839760C22semidirect
179. #16839760C22semidirect
180. #16839759C22semidirect
181. #16839755C22semidirect
182. C2×#14519702C22semidirect
183. C2×#14519698C22semidirect
184. #16839728C22semidirect
185. #16839727C22semidirect
186. #16839724C22semidirect
187. C2×#14519689C22semidirect
188. C22×D8×C61C22semidirect
189. C22×D8×C61C22semidirect
190. D42×C61C22semidirect
191. D42×C61C22semidirect
192. C61×#493C22semidirect
193. C61×#466C22semidirect
194. C61×#466C22semidirect
195. C61×#459C22semidirect
196. C61×#459C22semidirect
197. C61×#447C22semidirect
198. C61×#447C22semidirect
199. C61×#447C22semidirect
200. C61×#447C22semidirect
201. C4×D8×C61C22semidirect
202. C8×D4×C61C22semidirect
988. D4×D8D61semidirect
1032. C22×D8C2×D61semidirect
1033. C22×D8C2×D61semidirect
1056. D42C2×D61semidirect
1057. D42C2×D61semidirect
1080. #493C2×D61semidirect
1113. #466C2×D61semidirect
1114. #466C2×D61semidirect
1127. #459C2×D61semidirect
1128. #459C2×D61semidirect
1161. #447C2×D61semidirect
1162. #447C2×D61semidirect
1163. #447C2×D61semidirect
1164. #447C2×D61semidirect
1172. C4×D8C2×D61semidirect
1180. C8×D4C2×D61semidirect
1195. C61#61617semidirect

Maximal subgroups

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

subgroupindex
#214600502
#214594792
#214580252
#214580242
#214579642
#214579602
#214578322
#214578312
#214577272
#214577232
D8×C22⋊D612
#214574382
#214574372
#214573182
#214573102
#214572992
#214572942
#214568682
#214568622
#214566672
#214566642
#214566172
#214565662
#214560152
#214560142
#214550832
#214550822
#214550662
C2×#168399042
#214548612
D4×D8×C612
#6161761