Finite Group Databasebeta

← #30575503

Subgroups — #30575503

Order 15616.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460337C211yesmaximal, characteristic, complemented
2#21459832C211yesmaximal, characteristic, complemented
3#21458891C211yesmaximal, characteristic, complemented
4#21458880C211yesmaximal, characteristic, complemented
5#21458638C211yesmaximal, characteristic, complemented
6#21458630C211yesmaximal, characteristic, complemented
7#21458049C211yesmaximal, characteristic, complemented
8#21458043C211yesmaximal, characteristic, complemented
9#21457979C211yesmaximal, characteristic, complemented
10#21457968C211yesmaximal, characteristic, complemented
11#21457889C211yesmaximal, characteristic, complemented
12#21457884C211yesmaximal, characteristic, complemented
13#21457474C211yesmaximal, characteristic, complemented
14#21457469C211yesmaximal, characteristic, complemented
15#21457333C211yesmaximal, characteristic, complemented
16#21457327C211yesmaximal, characteristic, complemented
17#21457318C211yesmaximal, characteristic, complemented
18#21457313C211yesmaximal, characteristic, complemented
19#21457277C211yesmaximal, characteristic, complemented
20#21457275C211yesmaximal, characteristic, complemented
21#21457204C211yesmaximal, characteristic, complemented
22#21456910C211yesmaximal, characteristic, complemented
23#21456820C211yesmaximal, characteristic, complemented
24#21456050C211yesmaximal, characteristic, complemented
25#21456045C211yesmaximal, characteristic, complemented
26#21455967C211yesmaximal, characteristic, complemented
27#21455336C211yesmaximal, characteristic, complemented
28#21455335C211yesmaximal, characteristic, complemented
29#21455308C211yesmaximal, characteristic, complemented
30#21454984C211yesmaximal, characteristic, complemented
31C61×#3224C211yesmaximal, characteristic, complemented
32C2×#14519807C2211yescharacteristic, complemented
33C2×#14519806C2211yescharacteristic, complemented
34C2×#14519806C2211yescharacteristic, complemented
35C2×#14519801C2211yescharacteristic
36C22×#11758200C2211yescharacteristic, complemented
37C2×SD16×D61C2211yescharacteristic, complemented
38#16840507—21no—
39#16840505—21no—
40#16840498C2211yescharacteristic
41#16840494C2211yescharacteristic
42#16840492C2211yescharacteristic, complemented
43#16840486C2211yescharacteristic, complemented
44#16840483C2211yescharacteristic, complemented
45#16840481—21no—
46#16840481C2211yescharacteristic, complemented
47#16840479—21no—
48#16840479—21no—
49#16840476C2211yescharacteristic, complemented
50#16840474—21no—
51#16840425C2211yescharacteristic, complemented
52#16840420C2211yescharacteristic
53#16840420C2211yescharacteristic, complemented
54#16840419C2211yescharacteristic
55#16840418C2211yescharacteristic, complemented
56#16840406C2211yescharacteristic
57#16840401—21no—
58#16840400C2211yescharacteristic
59#16840399—21no—
60#16840397C2211yescharacteristic
61D4×C22⋊D61C2211yescharacteristic
62#16840383C2211yescharacteristic
63#16840382—21no—
64#16840381C2211yescharacteristic
65#16840380—21no—
66#16840377C2211yescharacteristic, complemented
67#16840349—21no—
68#16840347—21no—
69#16840344—21no—
70#16840325C2211yescharacteristic
71#16840322—21no—
72#16840316C2211yescharacteristic, complemented
73#16840314—21no—
74#16840310C2211yescharacteristic
75#16840290C2211yescharacteristic
76#16840289—21no—
77#124×D61C2211yescharacteristic
78#16840239C2211yescharacteristic, complemented
79#16840238C2211yescharacteristic, complemented
80C4×#11758224C2211yescharacteristic, complemented
81#16840155C2211yescharacteristic, complemented
82#16840153C2211yescharacteristic, complemented
83#16840150C2211yescharacteristic
84#16840145C2211yescharacteristic, complemented
85#16840123C2211yescharacteristic, complemented
86#16840120C2211yescharacteristic, complemented
87#16840120C2211yescharacteristic, complemented
88#16840107C2211yescharacteristic
89#16840104C2211yescharacteristic, complemented
90#16840101C2211yescharacteristic, complemented
91#16840087C2211yescharacteristic
92#16840085C2211yescharacteristic
93#16840085C2211yescharacteristic, complemented
94#16840085C2211yescharacteristic, complemented
95#16840058C2211yescharacteristic, complemented
96#16840057C2211yescharacteristic, complemented
97#16840055C2211yescharacteristic, complemented
98#16840054C2211yescharacteristic, complemented
99#16840048C2211yescharacteristic, complemented
100#16840042C2211yescharacteristic, complemented
101#16840040C2211yescharacteristic, complemented
102#16840040C2211yescharacteristic, complemented
103#16840040C2211yescharacteristic, complemented
104#16840039C2211yescharacteristic, complemented
105#16840010C2211yescharacteristic
106#16840007C2211yescharacteristic
107#16840007C2211yescharacteristic, complemented
108#16840007C2211yescharacteristic, complemented
109#16840006C2211yescharacteristic, complemented
110#16840005C2211yescharacteristic, complemented
111#16840005C2211yescharacteristic, complemented
112#16840005C2211yescharacteristic, complemented
113#16840002C2211yescharacteristic, complemented
114#16840001C2211yescharacteristic, complemented
115#16839996C2211yescharacteristic
116#16839995C2211yescharacteristic
117#16839987C2211yescharacteristic, complemented
118#16839985C2211yescharacteristic, complemented
119#16839985C2211yescharacteristic, complemented
120#16839984C2211yescharacteristic, complemented
121#16839983C2211yescharacteristic, complemented
122#16839983C2211yescharacteristic, complemented
123#16839982C2211yescharacteristic, complemented
124#16839982C2211yescharacteristic, complemented
125#16839981C2211yescharacteristic, complemented
126#16839981C2211yescharacteristic, complemented
127#16839981C2211yescharacteristic, complemented
128#16839981C2211yescharacteristic, complemented
129#16839981C2211yescharacteristic, complemented
130#16839979C2211yescharacteristic, complemented
131#16839977C2211yescharacteristic, complemented
132#16839975C2211yescharacteristic, complemented
133#16839975C2211yescharacteristic, complemented
134#16839974C2211yescharacteristic, complemented
135#16839965C2211yescharacteristic, complemented
136#16839965C2211yescharacteristic, complemented
137#16839961C2211yescharacteristic
138#16839960C2211yescharacteristic
139#16839959C2211yescharacteristic
140#16839959C2211yescharacteristic
141#16839959C2211yescharacteristic, complemented
142#16839959C2211yescharacteristic, complemented
143#16839925C2211yescharacteristic, complemented
144#16839920C2211yescharacteristic, complemented
145#16839919C2211yescharacteristic, complemented
146#16839916C2211yescharacteristic, complemented
147#16839916C2211yescharacteristic, complemented
148#16839914C2211yescharacteristic
149#16839914C2211yescharacteristic, complemented
150#16839911C2211yescharacteristic
151#16839904C2211yescharacteristic, complemented
152#16839904C2211yescharacteristic, complemented
153#16839904C2211yescharacteristic, complemented
154#16839903C2211yescharacteristic
155#16839899C2211yescharacteristic
156#16839894C2211yescharacteristic, complemented
157#16839892C2211yescharacteristic, complemented
158#16839890C2211yescharacteristic, complemented
159#16839874C2211yescharacteristic, complemented
160#16839874C2211yescharacteristic, complemented
161#16839870C2211yescharacteristic, complemented
162#16839869C2211yescharacteristic, complemented
163#16839864C2211yescharacteristic, complemented
164#16839859C2211yescharacteristic, complemented
165#16839859C2211yescharacteristic, complemented
166#16839859C2211yescharacteristic, complemented
167C4×Dic244C2211yescharacteristic, complemented
168#16839854C2211yescharacteristic, complemented
169C4×#11758190C2211yescharacteristic, complemented
170SD16×Dic61C2211yescharacteristic, complemented
171#16839841C2211yescharacteristic, complemented
172#16839837C2211yescharacteristic, complemented
173#16839836C2211yescharacteristic, complemented
174#16839835C2211yescharacteristic, complemented
175#16839830C2211yescharacteristic, complemented
176#16839830C2211yescharacteristic, complemented
177#16839822C2211yescharacteristic, complemented
178#16839818C2211yescharacteristic, complemented
179#16839789C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839784C2211yescharacteristic, complemented
182#16839769C2211yescharacteristic, complemented
183#16839767C2211yescharacteristic, complemented
184#16839765C2211yescharacteristic
185#16839765C2211yescharacteristic, complemented
186#16839758C2211yescharacteristic, complemented
187#16839755C2211yescharacteristic, complemented
188C61×#542C2211yescharacteristic, complemented
189C61×#535C2211yescharacteristic
190C61×#496C2211yescharacteristic
191C61×#495C2211yescharacteristic, complemented
192C61×#489C2211yescharacteristic, complemented
193C61×#486C2211yescharacteristic
194C61×#464C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic, complemented
197C61×#459C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic, complemented
199C61×#450C2211yescharacteristic, complemented
200C61×#449C2211yescharacteristic, complemented
201C61×#447C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203C2×#11758224—21no—
204C2×#11758224C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C22×Dic122C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C22×C22⋊D61—21no—
210C2×D4×D61—21no—
211C2×D4×D61C2311yescharacteristic
212C2×D4×D61C2311yescharacteristic
213#14519807—42no—
214#14519806—42no—
215#14519806—42no—
216#14519801—42no—
217C2×Dic244C2311yescharacteristic
218C2×Dic244C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758190C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758200—42no—
225C2×#11758200C2311yescharacteristic
226C2×#11758200C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233SD16×D61—42no—
234C2×#11758199C2311yescharacteristic
235C2×#11758194C2311yescharacteristic
236C2×#11758189C2311yescharacteristic
237C2×#11758189C2311yescharacteristic
238C2×#11758189C2311yescharacteristic
239C22×#92418C2311yescharacteristic
240C2×C8×D61C2311yescharacteristic
241#14519777C2311yescharacteristic
242#14519776—21no—
243#14519776—21no—
244#14519776C2311yescharacteristic
245#14519776C2311yescharacteristic
246#14519775—21no—
247#14519775—21no—
248#14519775C2311yescharacteristic
249#14519773C2311yescharacteristic
250#14519772—21no—
251#14519772—21no—
252#14519772—21no—
253#14519772—21no—
254#14519772D411yescharacteristic
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519770—21no—
259#14519770—21no—
260#14519770D411yescharacteristic
261#14519767—21no—
262#14519767D411yescharacteristic
263#14519766—21no—
264#14519766C2311yescharacteristic
265#14519765C2311yescharacteristic
266#14519764—21no—
267#14519764—21no—
268#14519764—21no—
269#14519764—21no—
270#14519764C2311yescharacteristic
271#14519764C2311yescharacteristic
272#14519764C2311yescharacteristic
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763D411yescharacteristic
285#14519762D411yescharacteristic
286#14519761—21no—
287#14519761—21no—
288#14519760—21no—
289#14519760—21no—
290#14519759—21no—
291#14519759—21no—
292#14519759D411yescharacteristic
293#14519758—21no—
294#14519758—21no—
295#14519758—21no—
296#14519757C2311yescharacteristic
297#14519757C2311yescharacteristic
298#14519756—21no—
299#14519756—21no—
300#14519756C2311yescharacteristic
301#14519755—21no—
302#14519755—21no—
303#14519755—21no—
304#14519755D411yescharacteristic
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754—21no—
310#14519754—21no—
311#14519753C2311yescharacteristic
312#14519753C2311yescharacteristic
313#14519751C2311yescharacteristic
314#14519750—21no—
315#14519750—21no—
316#14519750D411yescharacteristic
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749—21no—
321#14519749—21no—
322#14519749—21no—
323#14519749—21no—
324#14519748—21no—
325#14519748—21no—
326#14519748—21no—
327#14519748C2311yescharacteristic
328#14519748C2311yescharacteristic
329#14519748C2311yescharacteristic
330#14519748C2311yescharacteristic
331#14519746—21no—
332#14519746—21no—
333#14519745—21no—
334#14519745—21no—
335#14519745—21no—
336#14519745—21no—
337#14519745—21no—
338#14519745—21no—
339Q8×Dic61—21no—
340Q8×Dic61C2311yescharacteristic
341Q8×Dic61C2311yescharacteristic
342C4×Dic122—21no—
343C4×Dic122—21no—
344C4×Dic122C2311yescharacteristic
345C4×Dic122C2311yescharacteristic
346C4×Dic122C2311yescharacteristic
347C4×Dic122C2311yescharacteristic
348C4×Dic122C2311yescharacteristic
349C4×Dic122C2311yescharacteristic
350#14519742—21no—
351#14519742—21no—
352#14519742—21no—
353#14519742—21no—
354#14519742—21no—
355#14519742C2311yescharacteristic
356#14519742C2311yescharacteristic
357C4×D244C2311yescharacteristic
358C4×D244C2311yescharacteristic
359D4×Dic61—21no—
360D4×Dic61—21no—
361D4×Dic61—21no—
362D4×Dic61C2311yescharacteristic
363D4×Dic61C2311yescharacteristic
364D4×Dic61C2311yescharacteristic
365D4×Dic61C2311yescharacteristic
366C4×C22⋊D61—21no—
367C4×C22⋊D61—21no—
368C4×C22⋊D61C2311yescharacteristic
369C4×C22⋊D61C2311yescharacteristic
370#14519737—21no—
371#14519737—21no—
372#14519737—21no—
373#14519737—21no—
374#14519737—21no—
375#14519736C2311yescharacteristic
376#14519735—21no—
377#14519735C2311yescharacteristic
378#14519735C2311yescharacteristic
379#14519734—21no—
380#14519734—21no—
381#14519734C2311yescharacteristic
382#14519733—21no—
383#14519733—21no—
384#14519733—21no—
385#14519733—21no—
386#14519733—21no—
387C2×C22⋊Dic61—21no—
388C2×#11758198—21no—
389C22⋊C4×D61—21no—
390C22⋊C4×D61—21no—
391C2×C4×Dic61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519709C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404C4⋊#92418C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439#14519687C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C22×D4×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×D8×C61C2311yescharacteristic
449C2×D8×C61C2311yescharacteristic
450C2×D8×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic
452#127×C61C2311yescharacteristic
453#127×C61C2311yescharacteristic
454#126×C61—21no—
455#124×C61—21no—
456#124×C61C2311yescharacteristic
457#124×C61C2311yescharacteristic
458#124×C61C2311yescharacteristic
459#123×C61—21no—
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61C2311yescharacteristic
462#121×C61—21no—
463#121×C61—21no—
464#121×C61C2311yescharacteristic
465#120×C61—21no—
466#120×C61—21no—
467C4×Q8×C61C2311yescharacteristic
468C4×D4×C61C2311yescharacteristic
469#117×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C24×C61—21no—
485C23×D61—21no—
486C23×D61—21no—
487#41×C61—41no—
488#41×C61—41no—
489C2×Q8×C61—21no—
490C2×Q8×C61C2411yescharacteristic
491C2×Q8×C61C2411yescharacteristic
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—41no—
500C2×D4×C61—41no—
501C2×D4×C61C2411yescharacteristic
502C2×D4×C61C2411yescharacteristic
503C2×D4×C61C2411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C22×C4×C61—21no—
506C22×C4×C61—21no—
507C22×C4×C61C2411yescharacteristic
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—82no—
520C2×C22⋊D61C2×D411yescharacteristic
521C2×C22⋊D61C2×D411yescharacteristic
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61—21no—
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61—21no—
529Q8×D61—22no—
530Q8×D61—41no—
531Q8×D61—41no—
532Q8×D61—41no—
533#11758224—22no—
534#11758224—41no—
535#11758224—41no—
536#11758224—41no—
537#11758224—82no—
538D4×D61—41no—
539D4×D61—41no—
540D4×D61—41no—
541D4×D61—41no—
542D4×D61—82no—
543C2×D244C2×D411yescharacteristic
544C2×D244C2411yescharacteristic
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61C2×D411yescharacteristic
549C2×C4×D61C2×D411yescharacteristic
550C2×C4×D61C2411yescharacteristic
551C2×C4×D61C2411yescharacteristic
552C2×Dic122—22no—
553C2×Dic122—21no—
554C2×Dic122—21no—
555C2×Dic122—21no—
556C2×Dic122—21no—
557C2×Dic122—21no—
558C2×Dic122—21no—
559C2×Dic122—41no—
560C2×Dic122C2×D411yescharacteristic
561C2×Dic122C2411yescharacteristic
562C2×Dic122C2411yescharacteristic
563C2×Dic122C2411yescharacteristic
564Q16×C61—41no—
565SD16×C61—41no—
566SD16×C61—41no—
567SD16×C61—41no—
568SD16×C61—41no—
569D8×C61—41no—
570D8×C61—41no—
571D8×C61—41no—
572C2×C8×C61C2411yescharacteristic
573C2×C8×C61C2411yescharacteristic
574C2×C8×C61C2411yescharacteristic
575C2×C8×C61C2411yescharacteristic
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61C2×D411yescharacteristic
580C4⋊C4×C61C2×D411yescharacteristic
581C4⋊C4×C61C2411yescharacteristic
582C4⋊C4×C61C2411yescharacteristic
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C22⋊C4×C61C2×D411yescharacteristic
593C22⋊C4×C61C2×D411yescharacteristic
594C42×C61—21no—
595C42×C61C2411yescharacteristic
596C42×C61C2411yescharacteristic
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61C2×D411yescharacteristic
614C22⋊Dic61C2×D411yescharacteristic
615#11758202—22no—
616#11758202—41no—
617#11758202—41no—
618#11758201—41no—
619#11758200—22no—
620#11758200—22no—
621#11758200—22no—
622#11758200—41no—
623#11758200—41no—
624#11758200—41no—
625#11758200—41no—
626#11758199—41no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198C2×D411yescharacteristic
640#11758198C2×D411yescharacteristic
641#11758198C2×D411yescharacteristic
642#11758198C2×D411yescharacteristic
643#11758198C2×D411yescharacteristic
644#11758198C2×D411yescharacteristic
645C4⋊Dic61—21no—
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61C2×D411yescharacteristic
651C4⋊Dic61C2×D411yescharacteristic
652C4⋊Dic61C2411yescharacteristic
653C4⋊Dic61C2411yescharacteristic
654C4⋊Dic61C2411yescharacteristic
655C4⋊Dic61C2411yescharacteristic
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61—21no—
688C4×Dic61C2×D411yescharacteristic
689C4×Dic61C2×D411yescharacteristic
690C4×Dic61C2411yescharacteristic
691C4×Dic61C2411yescharacteristic
692#11758194—41no—
693C2×#92418—41no—
694C2×#92418C2411yescharacteristic
695C2×#92418C2411yescharacteristic
696C2×#92418C2411yescharacteristic
697C2×#92418C2411yescharacteristic
698Dic244—22no—
699Dic244—41no—
700#11758190—22no—
701#11758190—41no—
702#11758189—41no—
703#11758189—41no—
704#11758189—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61—21no—
710C23×C61—81no—
711C23×C61—81no—
712C23×C61—81no—
713C23×C61C22×D411yescharacteristic
714C22×D61—21no—
715C22×D61—42no—
716C22×D61—81no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61—81no—
720C22×D61—81no—
721C22×D61C22×D411yescharacteristic
722C22×D61C22×D411yescharacteristic
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—21no—
726Q8×C61—21no—
727Q8×C61—81no—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—21no—
733D4×C61—21no—
734D4×C61—21no—
735D4×C61—21no—
736D4×C61—81no—
737D4×C61—81no—
738D4×C61—81no—
739D4×C61—81no—
740D4×C61—81no—
741D4×C61—81no—
742D4×C61—81no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—81no—
750C2×C4×C61—81no—
751C2×C4×C61C22×D411yescharacteristic
752C2×C4×C61C22×D411yescharacteristic
753C2×C4×C61C22×D411yescharacteristic
754C2×C4×C61C22×D411yescharacteristic
755C2×C4×C61C22×D411yescharacteristic
756C2×C4×C61C2511yescharacteristic
757C22⋊D61—41no—
758C22⋊D61—41no—
759C22⋊D61—42no—
760C22⋊D61—42no—
761C22⋊D61—42no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C22⋊D61—81no—
765C22⋊D61—81no—
766C22⋊D61—81no—
767C22⋊D61—81no—
768C22⋊D61—81no—
769C22⋊D61—81no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—42no—
778C2×Dic61—42no—
779C2×Dic61—42no—
780C2×Dic61—81no—
781C2×Dic61—81no—
782C2×Dic61—81no—
783C2×Dic61—81no—
784C2×Dic61C22×D411yescharacteristic
785C2×Dic61C22×D411yescharacteristic
786C2×Dic61C22×D411yescharacteristic
787C2×Dic61C22×D411yescharacteristic
788C2×Dic61C22×D411yescharacteristic
789C2×Dic61C22×D411yescharacteristic
790D244—21no—
791D244—21no—
792D244—41no—
793C4×D61—21no—
794C4×D61—21no—
795C4×D61—21no—
796C4×D61—21no—
797C4×D61—41no—
798C4×D61—41no—
799C4×D61—42no—
800C4×D61—81no—
801C4×D61—81no—
802Dic122—21no—
803Dic122—21no—
804Dic122—21no—
805Dic122—21no—
806Dic122—21no—
807Dic122—41no—
808Dic122—42no—
809Dic122—42no—
810Dic122—81no—
811Dic122—81no—
812Dic122—81no—
813Dic122—81no—
814Dic122H(5,𝔽2)12yes—
815C8×C61—21no—
816C8×C61—21no—
817C8×C61—21no—
818C8×C61—21no—
819#92418—21no—
820#92418—21no—
821#92418—21no—
822#92418—21no—
823#62092—611nomaximal, Sylow
824C22×C61—21no—
825C22×C61—21no—
826C22×C61—21no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—162no—
840C22×C61C23×D411yescharacteristic
841C2×D61—21no—
842C2×D61—21no—
843C2×D61—21no—
844C2×D61—21no—
845C2×D61—21no—
846C2×D61—21no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—162no—
851C2×D61—162no—
852C4×C61—21no—
853C4×C61—21no—
854C4×C61—21no—
855C4×C61—21no—
856C4×C61—21no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61—41no—
861C4×C61C2×H(5,𝔽2)11yescharacteristic
862C4×C61#58511yescharacteristic
863Dic61—21no—
864Dic61—21no—
865Dic61—21no—
866Dic61—21no—
867Dic61—22no—
868Dic61—21no—
869Dic61—21no—
870Dic61—41no—
871Dic61—41no—
872Dic61—41no—
873Dic61—41no—
874Dic61—41no—
875Dic61—41no—
876#3558—611no—
877#3518—611no—
878#3401—611no—
879#3401—611no—
880#3375—611no—
881#3375—611no—
882#3324—611no—
883#3324—611no—
884#3319—611no—
885#3319—611no—
886#3313—611no—
887#3313—611no—
888#3277—611no—
889#3277—611no—
890#3266—611no—
891#3266—611no—
892#3265—611no—
893#3265—611no—
894#3262—611no—
895#3262—611no—
896#3254—611no—
897#3224—611no—
898#3224D6111yescharacteristic, complemented
899#3215—611no—
900#3121—611no—
901#3121—611no—
902#3115—611no—
903#3043—611no—
904#3043—611no—
905#3040—611no—
906#2995—611no—
907C2×C61—41no—
908C2×C61—81no—
909C2×C61—81no—
910C2×C61—81no—
911C2×C61—81no—
912C2×C61#348811yescharacteristic
913C2×C61#358511yescharacteristic
914C2×C61#358611yescharacteristic
915D61—41no—
916D61—41no—
917D61—81no—
918C2×#137—611no—
919C2×#137—611no—
920C2×#137—611no—
921C2×AGL(1,ℤ/8)—611no—
922C22×SD16—611no—
923C22×SD16—611no—
924#562—1221no—
925H(3,𝔽4)—1221no—
926#559—611no—
927#559—611no—
928Q82—611no—
929#556—611no—
930#556—611no—
931#556—611no—
932#556—1221no—
933#556—1221no—
934#556—1221no—
935#555—611no—
936#555—1221no—
937D4×Q8—611no—
938#548—611no—
939#548—611no—
940#548—611no—
941#548—611no—
942#546—611no—
943#546—611no—
944#546—1221no—
945#546—1221no—
946D42—611no—
947D42—611no—
948#542—611no—
949#542—611no—
950#542—611no—
951#542—1221no—
952#542—1221no—
953#542C2×D6111yescharacteristic, complemented
954#538—1221no—
955#538—1221no—
956#538—1221no—
957#535—611no—
958#535C2×D6111yescharacteristic
959#534—1221no—
960#533—611no—
961#533—1221no—
962#532—611no—
963#529—611no—
964#529—1221no—
965C2×#124—611no—
966#519—611no—
967#519—611no—
968C4×#41—611no—
969#497—611no—
970#497—611no—
971#496—611no—
972#496C2×D6111yescharacteristic
973#495—611no—
974#495C2×D6111yescharacteristic, complemented
975#489—611no—
976#489—611no—
977#489—611no—
978#489C2×D6111yescharacteristic, complemented
979#486—611no—
980#486C2×D6111yescharacteristic
981#485—611no—
982#485—611no—
983#482—611no—
984#482—611no—
985#482—611no—
986#482—611no—
987#477—611no—
988#477—611no—
989#477—611no—
990#477—611no—
991#475—611no—
992#474—611no—
993#474—611no—
994#474—611no—
995#474—611no—
996#474—611no—
997#468—611no—
998#468—611no—
999#468—611no—
1000#468—611no—
1001#468—611no—
1002#468—611no—
1003#468—611no—
1004#468—611no—
1005#467—611no—
1006#467—611no—
1007#466—611no—
1008#466—611no—
1009#464—611no—
1010#464—611no—
1011#464—611no—
1012#464—611no—
1013#464—611no—
1014#464—611no—
1015#464—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#464—611no—
1021#464—611no—
1022#464C2×D6111yescharacteristic, complemented
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463C2×D6111yescharacteristic, complemented
1029#461—611no—
1030#461—611no—
1031#460—611no—
1032#460—611no—
1033#460—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460C2×D6111yescharacteristic, complemented
1038#459C2×D6111yescharacteristic, complemented
1039#452—611no—
1040#452C2×D6111yescharacteristic, complemented
1041#451—611no—
1042#451—611no—
1043#451—611no—
1044#451—611no—
1045#450—611no—
1046#450—611no—
1047#450—611no—
1048#450C2×D6111yescharacteristic, complemented
1049#449—611no—
1050#449—611no—
1051#449—611no—
1052#449C2×D6111yescharacteristic, complemented
1053#448—611no—
1054#448—611no—
1055#447—611no—
1056#447C2×D6111yescharacteristic, complemented
1057#446—611no—
1058#446—611no—
1059#442—611no—
1060#442—611no—
1061#441—611no—
1062#441—611no—
1063#440—611no—
1064#440—611no—
1065#440—611no—
1066#440—611no—
1067C4×Q16—611no—
1068C4×Q16—611no—
1069C4×SD16—611no—
1070C4×SD16—611no—
1071#436—611no—
1072#436—611no—
1073#435—611no—
1074#435—611no—
1075#435—611no—
1076#435—611no—
1077#433—611no—
1078#433C2×D6111yescharacteristic, complemented
1079#432—611no—
1080#424—611no—
1081#424—611no—
1082#423—611no—
1083#419—611no—
1084#418—611no—
1085#418—611no—
1086#418—611no—
1087#416—611no—
1088#416—611no—
1089C61#6209211yescharacteristic, complemented, Sylow
1090C2×#41—611no—
1091C2×#41—611no—
1092C2×#41—1221no—
1093C2×#41C22×D6111yescharacteristic
1094C22×Q8—611no—
1095C22×Q8—611no—
1096C22×Q8—611no—
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—1221no—
1100C22×D4—1221no—
1101C22×D4C22×D6111yescharacteristic
1102#137—2442no—
1103#137—2442no—
1104#137—2442no—
1105AGL(1,ℤ/8)—2442no—
1106C2×Q16—611no—
1107C2×Q16—611no—
1108C2×Q16—611no—
1109C2×Q16—611no—
1110C2×Q16—611no—
1111C2×Q16C22×D6111yescharacteristic
1112C2×SD16—611no—
1113C2×SD16—611no—
1114C2×SD16—611no—
1115C2×SD16—611no—
1116C2×SD16—611no—
1117C2×SD16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—611no—
1122C2×SD16—2442no—
1123C2×SD16—2442no—
1124C2×SD16C22×D6111yescharacteristic
1125C2×SD16C22×D6111yescharacteristic
1126C2×SD16C22×D6111yescharacteristic
1127C2×SD16C22×D6111yescharacteristic
1128C2×D8—611no—
1129C2×D8C22×D6111yescharacteristic
1130C2×D8C22×D6111yescharacteristic
1131C2×D8C22×D6111yescharacteristic
1132C2×M16—611no—
1133C2×M16—611no—
1134C2×M16—611no—
1135C2×M16—611no—
1136C22×C8—611no—
1137C22×C8—611no—
1138C4⋊Q8—611no—
1139C4⋊Q8—611no—
1140C4⋊Q8—611no—
1141C4⋊Q8—611no—
1142C4⋊Q8—1221no—
1143C4⋊Q8—1221no—
1144C4⋊Q8—1221no—
1145C4⋊Q8—1221no—
1146C4⋊Q8C22×D6111yescharacteristic
1147#127—611no—
1148#127C22×D6111yescharacteristic
1149#127C22×D6111yescharacteristic
1150#126—21no—
1151#126—611no—
1152#126—611no—
1153#126—1221no—
1154#126—1221no—
1155#126—1221no—
1156#126—1221no—
1157#126—1221no—
1158#126—1221no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#125—611no—
1163#125—1221no—
1164#124—21no—
1165#124—611no—
1166#124—611no—
1167#124—611no—
1168#124—611no—
1169#124—611no—
1170#124—611no—
1171#124—1221no—
1172#124—1221no—
1173#124—1221no—
1174#124—1221no—
1175#124—1221no—
1176#124—1221no—
1177#124—1221no—
1178#124—1221no—
1179#124—1221no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#124—1221no—
1186#124—1221no—
1187#124C22×D6111yescharacteristic
1188#124C22×D6111yescharacteristic
1189#124C22×D6111yescharacteristic
1190#123—21no—
1191#123—611no—
1192#123—611no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202C22⋊Q8—21no—
1203C22⋊Q8—611no—
1204C22⋊Q8—611no—
1205C22⋊Q8—611no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218C22⋊Q8—1221no—
1219C22⋊Q8—1221no—
1220C22⋊Q8C22×D6111yescharacteristic
1221#121—21no—
1222#121—21no—
1223#121—611no—
1224#121—611no—
1225#121—611no—
1226#121—611no—
1227#121—611no—
1228#121—611no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121C22×D6111yescharacteristic
1242#120—21no—
1243#120—21no—
1244#120—1221no—
1245#120—1221no—
1246#120—1221no—
1247#120—1221no—
1248#120—1221no—
1249#120—1221no—
1250#120—1221no—
1251#120—1221no—
1252C4×Q8—611no—
1253C4×Q8—611no—
1254C4×Q8—611no—
1255C4×Q8—611no—
1256C4×Q8—611no—
1257C4×Q8—611no—
1258C4×Q8—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—1221no—
1263C4×Q8—1221no—
1264C4×Q8—1221no—
1265C4×Q8—1221no—
1266C4×Q8—1221no—
1267C4×Q8—1221no—
1268C4×Q8—1221no—
1269C4×Q8—1221no—
1270C4×Q8C22×D6111yescharacteristic
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4C22×D6111yescharacteristic
1290#117—611no—
1291#117—611no—
1292#117—611no—
1293#117—611no—
1294#117—1221no—
1295#117—1221no—
1296#117—1221no—
1297#117—1221no—
1298#117—1221no—
1299#117—1221no—
1300#117—1221no—
1301#117—1221no—
1302#117C22×D6111yescharacteristic
1303C2×C22⋊C4—1221no—
1304C2×C22⋊C4—1221no—
1305C2×C22⋊C4—1221no—
1306C2×C22⋊C4—1221no—
1307C2×C42—611no—
1308C2×C42—1221no—
1309#107—611no—
1310#107—611no—
1311#107—611no—
1312#107—611no—
1313#107—611no—
1314#107—611no—
1315#106—611no—
1316#106—611no—
1317C4⋊C8—611no—
1318C4⋊C8—611no—
1319C4⋊C8—611no—
1320C4⋊C8—611no—
1321C4⋊C8—611no—
1322C4⋊C8—611no—
1323C4⋊C8—611no—
1324C4⋊C8—611no—
1325C4⋊C8C22×D6111yescharacteristic
1326C4⋊C8C22×D6111yescharacteristic
1327#103—611no—
1328#103—611no—
1329#103—611no—
1330#103—611no—
1331#103—611no—
1332#103—611no—
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103C22×D6111yescharacteristic
1340#103C22×D6111yescharacteristic
1341#102—611no—
1342#102—611no—
1343#102—611no—
1344#102—611no—
1345#102—611no—
1346#102—611no—
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102C22×D6111yescharacteristic
1354#102C22×D6111yescharacteristic
1355#102C22×D6111yescharacteristic
1356#102C22×D6111yescharacteristic
1357#102C22×D6111yescharacteristic
1358#102C22×D6111yescharacteristic
1359C22⋊C8—611no—
1360C22⋊C8—611no—
1361C22⋊C8—611no—
1362C22⋊C8—611no—
1363C22⋊C8C22×D6111yescharacteristic
1364C22⋊C8C22×D6111yescharacteristic
1365#97—611no—
1366#97—611no—
1367#97—611no—
1368#97C22×D6111yescharacteristic
1369C4×C8—611no—
1370C4×C8C22×D6111yescharacteristic
1371C24—21no—
1372C24—1221no—
1373C24—1221no—
1374#41—41no—
1375#41—41no—
1376#41—1222no—
1377#41—4882no—
1378#41—2441no—
1379#41—2441no—
1380#41—2441no—
1381C2×Q8—21no—
1382C2×Q8—611no—
1383C2×Q8—611no—
1384C2×Q8—611no—
1385C2×Q8—611no—
1386C2×Q8—1221no—
1387C2×Q8—1221no—
1388C2×Q8—1221no—
1389C2×Q8—1221no—
1390C2×Q8—1222no—
1391C2×Q8—1221no—
1392C2×Q8—1221no—
1393C2×Q8—1222no—
1394C2×Q8—2441no—
1395C2×Q8—2441no—
1396C2×Q8—2441no—
1397C2×Q8—2441no—
1398C2×Q8C23×D6111yescharacteristic
1399C2×Q8C23×D6111yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—611no—
1410C2×D4—611no—
1411C2×D4—611no—
1412C2×D4—611no—
1413C2×D4—1221no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—4882no—
1425C2×D4—4882no—
1426C2×D4—2441no—
1427C2×D4—2441no—
1428C2×D4—2441no—
1429C2×D4—2441no—
1430C2×D4C23×D6111yescharacteristic
1431C2×D4C23×D6111yescharacteristic
1432C2×D4C23×D6111yescharacteristic
1433C2×D4C23×D6111yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—611no—
1437C22×C4—611no—
1438C22×C4—611no—
1439C22×C4—611no—
1440C22×C4—1221no—
1441C22×C4—1221no—
1442C22×C4—1221no—
1443C22×C4—1221no—
1444C22×C4—1221no—
1445C22×C4—1221no—
1446C22×C4—1221no—
1447C22×C4—1221no—
1448C22×C4—1221no—
1449C22×C4—1221no—
1450C22×C4C23×D6111yescharacteristic
1451Q16—41no—
1452Q16—1222no—
1453Q16—1222no—
1454Q16—2441no—
1455Q16—2441no—
1456Q16—2441no—
1457SD16—41no—
1458SD16—41no—
1459SD16—41no—
1460SD16—41no—
1461SD16—1222no—
1462SD16—1222no—
1463SD16—1222no—
1464SD16—1222no—
1465SD16—2441no—
1466SD16—2441no—
1467SD16—2441no—
1468SD16—2441no—
1469SD16—2441no—
1470SD16—2441no—
1471D8—41no—
1472D8—41no—
1473D8—41no—
1474D8—2441no—
1475M16—2441no—
1476M16—2441no—
1477M16—2441no—
1478M16—2441no—
1479C2×C8—611no—
1480C2×C8—611no—
1481C2×C8—611no—
1482C2×C8—611no—
1483C2×C8—2441no—
1484C2×C8—2441no—
1485C2×C8C23×D6111yescharacteristic
1486C2×C8C23×D6111yescharacteristic
1487C2×C8C23×D6111yescharacteristic
1488C2×C8C23×D6111yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—611no—
1493C4⋊C4—611no—
1494C4⋊C4—611no—
1495C4⋊C4—611no—
1496C4⋊C4—611no—
1497C4⋊C4—611no—
1498C4⋊C4—611no—
1499C4⋊C4—611no—
1500C4⋊C4—611no—
1501C4⋊C4—611no—
1502C4⋊C4—611no—
1503C4⋊C4—611no—
1504C4⋊C4—1221no—
1505C4⋊C4—1221no—
1506C4⋊C4—1221no—
1507C4⋊C4—1221no—
1508C4⋊C4—1221no—
1509C4⋊C4—1221no—
1510C4⋊C4—1221no—
1511C4⋊C4—1221no—
1512C4⋊C4—1221no—
1513C4⋊C4—1221no—
1514C4⋊C4—1221no—
1515C4⋊C4—1221no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4D4×D6111yescharacteristic
1524C4⋊C4D4×D6111yescharacteristic
1525C4⋊C4C23×D6111yescharacteristic
1526C4⋊C4C23×D6111yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—611no—
1537C22⋊C4—611no—
1538C22⋊C4—611no—
1539C22⋊C4—611no—
1540C22⋊C4—611no—
1541C22⋊C4—611no—
1542C22⋊C4—611no—
1543C22⋊C4—611no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4—1221no—
1552C22⋊C4—1221no—
1553C22⋊C4—1221no—
1554C22⋊C4—1221no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4D4×D6111yescharacteristic
1573C22⋊C4D4×D6111yescharacteristic
1574C42—21no—
1575C42—611no—
1576C42—611no—
1577C42—611no—
1578C42—611no—
1579C42—1221no—
1580C42—1221no—
1581C42—1221no—
1582C42—1221no—
1583C42—1221no—
1584C42—1221no—
1585C42—1221no—
1586C42—1221no—
1587C42—1221no—
1588C42—1221no—
1589C42—1221no—
1590C42—1221no—
1591C42C23×D6111yescharacteristic
1592C42C23×D6111yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—81no—
1598C23—81no—
1599C23—81no—
1600C23—611no—
1601C23—611no—
1602C23—1221no—
1603C23—4881no—
1604C23—4881no—
1605C23—4881no—
1606C23—4881no—
1607C23—4881no—
1608C23—2442no—
1609C23C2×D4×D6111yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—81no—
1615Q8—612no—
1616Q8—1221no—
1617Q8—1221no—
1618Q8—1221no—
1619Q8—1221no—
1620Q8—1221no—
1621Q8—4881no—
1622Q8—4881no—
1623Q8—4881no—
1624Q8—4881no—
1625Q8—2441no—
1626Q8—2442no—
1627Q8—2442no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—1221no—
1644D4—1221no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—2441no—
1654D4—2441no—
1655D4—2441no—
1656D4—2442no—
1657D4—2442no—
1658D4—2442no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—611no—
1668C2×C4—611no—
1669C2×C4—611no—
1670C2×C4—611no—
1671C2×C4—611no—
1672C2×C4—611no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—4881no—
1685C2×C4—4881no—
1686C2×C4—4881no—
1687C2×C4—4881no—
1688C2×C4—4881no—
1689C2×C4—4881no—
1690C2×C4—2441no—
1691C2×C4—2441no—
1692C2×C4—2442no—
1693C2×C4—2442no—
1694C2×C4—2442no—
1695C2×C4—2442no—
1696C2×C4C2×D4×D6111yescharacteristic
1697C2×C4C2×D4×D6111yescharacteristic
1698C2×C4C2×D4×D6111yescharacteristic
1699C2×C4C2×D4×D6111yescharacteristic
1700C2×C4C2×D4×D6111yescharacteristic
1701C2×C4C24×D6111yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1221no—
1707C8—1221no—
1708C8—1221no—
1709C8—1221no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—162no—
1726C22—1221no—
1727C22—1221no—
1728C22—1221no—
1729C22—1221no—
1730C22—1221no—
1731C22—1221no—
1732C22—9762no—
1733C22—9762no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22C22×D4×D6111yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—1221no—
1748C4—1221no—
1749C4—1222no—
1750C4—1221no—
1751C4—1221no—
1752C4—1221no—
1753C4—1221no—
1754C4—2441no—
1755C4—2441no—
1756C4—2441no—
1757C4—2441no—
1758C4—2441no—
1759C4—2441no—
1760C4H(5,𝔽2)×D6111yescharacteristic
1761C4#1684059711yescharacteristic
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—4881no—
1768C2—2441no—
1769C2—2441no—
1770C2#2145948611yescharacteristic
1771C2#2146059411yescharacteristic
1772C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3224C2
socleC22×C61C23×D4
hypercenter#3224D61
hypocenterC61#62092
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #21460337C2semidirect
2. #21459832C2semidirect
3. #21458891C2semidirect
4. #21458880C2semidirect
5. #21458638C2semidirect
6. #21458630C2semidirect
7. #21458049C2semidirect
8. #21458043C2semidirect
9. #21457979C2semidirect
10. #21457968C2semidirect
11. #21457889C2semidirect
12. #21457884C2semidirect
13. #21457474C2semidirect
14. #21457469C2semidirect
15. #21457333C2semidirect
16. #21457327C2semidirect
17. #21457318C2semidirect
18. #21457313C2semidirect
19. #21457277C2semidirect
20. #21457275C2semidirect
21. #21457204C2semidirect
22. #21456910C2semidirect
23. #21456820C2semidirect
24. #21456050C2semidirect
25. #21456045C2semidirect
26. #21455967C2semidirect
27. #21455336C2semidirect
28. #21455335C2semidirect
29. #21455308C2semidirect
30. #21454984C2semidirect
31. C61×#3224C2semidirect
32. C2×#14519807C22semidirect
33. C2×#14519806C22semidirect
34. C2×#14519806C22semidirect
36. C22×#11758200C22semidirect
37. C2×SD16×D61C22semidirect
42. #16840492C22semidirect
43. #16840486C22semidirect
44. #16840483C22semidirect
46. #16840481C22semidirect
49. #16840476C22semidirect
51. #16840425C22semidirect
53. #16840420C22semidirect
55. #16840418C22semidirect
66. #16840377C22semidirect
72. #16840316C22semidirect
78. #16840239C22semidirect
79. #16840238C22semidirect
80. C4×#11758224C22semidirect
81. #16840155C22semidirect
82. #16840153C22semidirect
84. #16840145C22semidirect
85. #16840123C22semidirect
86. #16840120C22semidirect
87. #16840120C22semidirect
89. #16840104C22semidirect
90. #16840101C22semidirect
93. #16840085C22semidirect
94. #16840085C22semidirect
95. #16840058C22semidirect
96. #16840057C22semidirect
97. #16840055C22semidirect
98. #16840054C22semidirect
99. #16840048C22semidirect
100. #16840042C22semidirect
101. #16840040C22semidirect
102. #16840040C22semidirect
103. #16840040C22semidirect
104. #16840039C22semidirect
107. #16840007C22semidirect
108. #16840007C22semidirect
109. #16840006C22semidirect
110. #16840005C22semidirect
111. #16840005C22semidirect
112. #16840005C22semidirect
113. #16840002C22semidirect
114. #16840001C22semidirect
117. #16839987C22semidirect
118. #16839985C22semidirect
119. #16839985C22semidirect
120. #16839984C22semidirect
121. #16839983C22semidirect
122. #16839983C22semidirect
123. #16839982C22semidirect
124. #16839982C22semidirect
125. #16839981C22semidirect
126. #16839981C22semidirect
127. #16839981C22semidirect
128. #16839981C22semidirect
129. #16839981C22semidirect
130. #16839979C22semidirect
131. #16839977C22semidirect
132. #16839975C22semidirect
133. #16839975C22semidirect
134. #16839974C22semidirect
135. #16839965C22semidirect
136. #16839965C22semidirect
141. #16839959C22semidirect
142. #16839959C22semidirect
143. #16839925C22semidirect
144. #16839920C22semidirect
145. #16839919C22semidirect
146. #16839916C22semidirect
147. #16839916C22semidirect
149. #16839914C22semidirect
151. #16839904C22semidirect
152. #16839904C22semidirect
153. #16839904C22semidirect
156. #16839894C22semidirect
157. #16839892C22semidirect
158. #16839890C22semidirect
159. #16839874C22semidirect
160. #16839874C22semidirect
161. #16839870C22semidirect
162. #16839869C22semidirect
163. #16839864C22semidirect
164. #16839859C22semidirect
165. #16839859C22semidirect
166. #16839859C22semidirect
167. C4×Dic244C22semidirect
168. #16839854C22semidirect
169. C4×#11758190C22semidirect
170. SD16×Dic61C22semidirect
171. #16839841C22semidirect
172. #16839837C22semidirect
173. #16839836C22semidirect
174. #16839835C22semidirect
175. #16839830C22semidirect
176. #16839830C22semidirect
177. #16839822C22semidirect
178. #16839818C22semidirect
179. #16839789C22semidirect
180. #16839787C22semidirect
181. #16839784C22semidirect
182. #16839769C22semidirect
183. #16839767C22semidirect
185. #16839765C22semidirect
186. #16839758C22semidirect
187. #16839755C22semidirect
188. C61×#542C22semidirect
191. C61×#495C22semidirect
192. C61×#489C22semidirect
194. C61×#464C22semidirect
195. C61×#463C22semidirect
196. C61×#460C22semidirect
197. C61×#459C22semidirect
198. C61×#452C22semidirect
199. C61×#450C22semidirect
200. C61×#449C22semidirect
201. C61×#447C22semidirect
202. C61×#433C22semidirect
898. #3224D61semidirect
953. #542C2×D61semidirect
974. #495C2×D61semidirect
978. #489C2×D61semidirect
1022. #464C2×D61semidirect
1028. #463C2×D61semidirect
1037. #460C2×D61semidirect
1038. #459C2×D61semidirect
1040. #452C2×D61semidirect
1048. #450C2×D61semidirect
1052. #449C2×D61semidirect
1056. #447C2×D61semidirect
1078. #433C2×D61semidirect
1089. C61#62092semidirect

Maximal subgroups

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

subgroupindex
#214603372
#214598322
#214588912
#214588802
#214586382
#214586302
#214580492
#214580432
#214579792
#214579682
#214578892
#214578842
#214574742
#214574692
#214573332
#214573272
#214573182
#214573132
#214572772
#214572752
#214572042
#214569102
#214568202
#214560502
#214560452
#214559672
#214553362
#214553352
#214553082
#214549842
C61×#32242
#6209261