Finite Group Databasebeta

← #30575976

Subgroups — #30575976

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459791C211yesmaximal, characteristic, complemented
2#21459425C211yesmaximal, characteristic, complemented
3#21458780C211yesmaximal, characteristic, complemented
4#21458770C211yesmaximal, characteristic, complemented
5#21458593C211yesmaximal, characteristic, complemented
6#21458578C211yesmaximal, characteristic, complemented
7#21458423C211yesmaximal, characteristic, complemented
8#21458378C211yesmaximal, characteristic, complemented
9#21458308C211yesmaximal, characteristic, complemented
10#21458302C211yesmaximal, characteristic, complemented
11#21458293C211yesmaximal, characteristic, complemented
12#21458278C211yesmaximal, characteristic, complemented
13#21458034C211yesmaximal, characteristic, complemented
14#21458019C211yesmaximal, characteristic, complemented
15#21457958C211yesmaximal, characteristic, complemented
16#21457898C211yesmaximal, characteristic, complemented
17#21457838C211yesmaximal, characteristic, complemented
18#21457778C211yesmaximal, characteristic, complemented
19#21457222C211yesmaximal, characteristic, complemented
20#21457180C211yesmaximal, characteristic, complemented
21#21457166C211yesmaximal, characteristic, complemented
22#21457064C211yesmaximal, characteristic, complemented
23#21457007C211yesmaximal, characteristic, complemented
24#21455962C211yesmaximal, characteristic, complemented
25#21455935C211yesmaximal, characteristic, complemented
26#21455868C211yesmaximal, characteristic, complemented
27#21455638C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29C2×#16840059C211yesmaximal, characteristic, complemented
30#21454932C211yesmaximal, characteristic, complemented
31C61×#3232C211yesmaximal, characteristic, complemented
32#16840494C2211yescharacteristic
33#16840489C2211yescharacteristic, complemented
34#16840470C2211yescharacteristic
35#16840468C2211yescharacteristic
36#16840468C2211yescharacteristic, complemented
37#16840467C2211yescharacteristic, complemented
38#16840465C2211yescharacteristic
39#16840465C2211yescharacteristic, complemented
40#16840464C2211yescharacteristic
41#16840463—21no—
42#16840460C2211yescharacteristic
43#16840450C2211yescharacteristic, complemented
44#16840447—21no—
45#16840447C2211yescharacteristic
46#16840444—21no—
47#16840444—21no—
48#16840437—21no—
49#16840435—21no—
50#16840413—21no—
51#16840413C2211yescharacteristic, complemented
52#16840405C2211yescharacteristic
53#16840404—21no—
54#16840403C2211yescharacteristic
55#16840396C2211yescharacteristic
56#16840371—21no—
57#16840360—21no—
58#16840359—21no—
59#16840318C2211yescharacteristic, complemented
60#16840309C2211yescharacteristic
61#16840299C2211yescharacteristic
62#16840297C2211yescharacteristic, complemented
63#16840297C2211yescharacteristic, complemented
64#16840296C2211yescharacteristic, complemented
65#16840290—21no—
66#125×D61C2211yescharacteristic, complemented
67#16840274—21no—
68#16840271—21no—
69#16840243—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758222C2211yescharacteristic
72C2×C4×D244C2211yescharacteristic
73C4×D4×D61—21no—
74C4×D4×D61C2211yescharacteristic
75#16840170C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840125C2211yescharacteristic
80#16840125C2211yescharacteristic
81#16840123C2211yescharacteristic, complemented
82#16840123C2211yescharacteristic, complemented
83#16840106C2211yescharacteristic, complemented
84#16840102C2211yescharacteristic, complemented
85#16840101C2211yescharacteristic, complemented
86#16840098C2211yescharacteristic, complemented
87#16840094C2211yescharacteristic, complemented
88#16840089C2211yescharacteristic
89#16840089C2211yescharacteristic, complemented
90#16840088C2211yescharacteristic
91#16840082C2211yescharacteristic, complemented
92#16840081C2211yescharacteristic, complemented
93#16840079C2211yescharacteristic, complemented
94#16840077C2211yescharacteristic, complemented
95#16840077C2211yescharacteristic, complemented
96#16840074C2211yescharacteristic, complemented
97#16840072C2211yescharacteristic, complemented
98#16840071C2211yescharacteristic, complemented
99#16840069C2211yescharacteristic, complemented
100#16840067C2211yescharacteristic, complemented
101#16840066C2211yescharacteristic, complemented
102#16840065C2211yescharacteristic
103#16840065C2211yescharacteristic, complemented
104#16840063C2211yescharacteristic
105#16840063C2211yescharacteristic, complemented
106#16840062C2211yescharacteristic, complemented
107#16840061C2211yescharacteristic
108#16840059C2211yescharacteristic
109#16840059C2211yescharacteristic
110#16840059C2211yescharacteristic
111#16840059C2211yescharacteristic
112#16840059C2211yescharacteristic, complemented
113#16840059C2211yescharacteristic, complemented
114#16840059C2211yescharacteristic, complemented
115#16840059C2211yescharacteristic, complemented
116#16840059C2211yescharacteristic, complemented
117#16840051C2211yescharacteristic
118#16840050C2211yescharacteristic, complemented
119#16840046C2211yescharacteristic, complemented
120#16840041C2211yescharacteristic
121#16840041C2211yescharacteristic, complemented
122#16840040C2211yescharacteristic, complemented
123#16840019C2211yescharacteristic, complemented
124#16840016C2211yescharacteristic
125#16840016C2211yescharacteristic, complemented
126#16840014C2211yescharacteristic, complemented
127#16840011C2211yescharacteristic, complemented
128#16840009C2211yescharacteristic
129#16840009C2211yescharacteristic, complemented
130#16840007C2211yescharacteristic, complemented
131#16840001C2211yescharacteristic, complemented
132#16839996C2211yescharacteristic
133#16839993C2211yescharacteristic, complemented
134#16839989C2211yescharacteristic
135#16839987C2211yescharacteristic, complemented
136#16839984C2211yescharacteristic, complemented
137#16839981C2211yescharacteristic, complemented
138#16839980C2211yescharacteristic, complemented
139#16839978C2211yescharacteristic
140#16839978C2211yescharacteristic, complemented
141#16839977C2211yescharacteristic, complemented
142#16839974C2211yescharacteristic, complemented
143#16839961C2211yescharacteristic
144#16839956C2211yescharacteristic
145#16839927C2211yescharacteristic
146#16839915C2211yescharacteristic
147#16839914C2211yescharacteristic
148#16839910C2211yescharacteristic
149#16839898C2211yescharacteristic
150#16839897C2211yescharacteristic
151#16839892C2211yescharacteristic, complemented
152#16839892C2211yescharacteristic, complemented
153#16839873C2211yescharacteristic
154#16839873C2211yescharacteristic
155#16839871C2211yescharacteristic, complemented
156#16839866C2211yescharacteristic, complemented
157#16839865C2211yescharacteristic, complemented
158#16839861C2211yescharacteristic
159#16839861C2211yescharacteristic
160#16839859C2211yescharacteristic, complemented
161C4×#11758190C2211yescharacteristic
162C4×#11758190C2211yescharacteristic, complemented
163C4×D488C2211yescharacteristic
164C4×D488C2211yescharacteristic, complemented
165#16839841C2211yescharacteristic, complemented
166#16839841C2211yescharacteristic, complemented
167#16839830C2211yescharacteristic
168#16839830C2211yescharacteristic
169#16839830C2211yescharacteristic, complemented
170#16839830C2211yescharacteristic, complemented
171#16839818C2211yescharacteristic, complemented
172#16839818C2211yescharacteristic, complemented
173#16839803C2211yescharacteristic, complemented
174#16839803C2211yescharacteristic, complemented
175#16839801C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177C2×#14519710C2211yescharacteristic, complemented
178C2×#14519708C2211yescharacteristic, complemented
179#16839784C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C2×C4⋊#92418C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839762C2211yescharacteristic
185#16839762C2211yescharacteristic
186C2×#14519697C2211yescharacteristic
187C2×#14519697C2211yescharacteristic
188C61×#529C2211yescharacteristic
189C2×#125×C61C2211yescharacteristic, complemented
190C61×#499C2211yescharacteristic, complemented
191C61×#499C2211yescharacteristic, complemented
192C61×#488C2211yescharacteristic, complemented
193C61×#488C2211yescharacteristic, complemented
194C61×#484C2211yescharacteristic, complemented
195C61×#483C2211yescharacteristic, complemented
196C61×#481C2211yescharacteristic
197C61×#480C2211yescharacteristic
198C61×#479C2211yescharacteristic, complemented
199C61×#479C2211yescharacteristic, complemented
200C61×#478C2211yescharacteristic, complemented
201C61×#478C2211yescharacteristic, complemented
202C61×#431C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222—21no—
206C2×#11758222D411yescharacteristic
207C22×D244C2311yescharacteristic
208C2×D4×D61—21no—
209C2×D4×D61C2311yescharacteristic
210C22×C4×D61—21no—
211C22×C4×D61—21no—
212C2×#11758202C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758201C2311yescharacteristic
217C2×D488C2311yescharacteristic
218C2×D488C2311yescharacteristic
219C2×#11758199C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×#11758189C2311yescharacteristic
222C2×#11758189C2311yescharacteristic
223C2×#11758189C2311yescharacteristic
224C22×#92418C2311yescharacteristic
225C22×#92418C2311yescharacteristic
226#14519776—21no—
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519773C2311yescharacteristic
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519771—21no—
240#14519770—21no—
241#14519769C2311yescharacteristic
242#14519768—21no—
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519767—21no—
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519766C2311yescharacteristic
254#14519765C2311yescharacteristic
255#14519763—21no—
256#14519763—21no—
257#14519762—21no—
258#14519762—21no—
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519762—21no—
265#14519762—21no—
266#14519761—21no—
267#14519761—21no—
268#14519760—21no—
269#14519760—21no—
270#14519760—21no—
271#14519759—21no—
272#14519759—21no—
273#14519757—21no—
274#14519757—21no—
275#14519757—21no—
276#14519757C2311yescharacteristic
277#14519757C2311yescharacteristic
278#14519756—21no—
279#14519756C2311yescharacteristic
280#14519755—21no—
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519754—21no—
289#14519753C2311yescharacteristic
290#14519752—21no—
291#14519752—21no—
292#14519752—21no—
293#14519752C2311yescharacteristic
294#14519752C2311yescharacteristic
295#14519752C2311yescharacteristic
296#14519752C2311yescharacteristic
297#14519751—21no—
298#14519751C2311yescharacteristic
299#14519750—21no—
300#14519750—21no—
301#14519750—21no—
302#14519749—21no—
303#14519748C2311yescharacteristic
304#14519747—21no—
305#14519747—21no—
306#14519747—21no—
307#14519745—21no—
308Q8×Dic61C2311yescharacteristic
309C4×Dic122D411yescharacteristic
310C4×Dic122C2311yescharacteristic
311C4×Dic122C2311yescharacteristic
312#14519742—21no—
313#14519742—21no—
314#14519742—21no—
315#14519742C2311yescharacteristic
316#14519742C2311yescharacteristic
317C4×D244—21no—
318C4×D244—21no—
319C4×D244—21no—
320C4×D244—21no—
321C4×D244D411yescharacteristic
322C4×D244C2311yescharacteristic
323C4×D244C2311yescharacteristic
324C4×D244C2311yescharacteristic
325C4×D244C2311yescharacteristic
326C4×D244C2311yescharacteristic
327C4×D244C2311yescharacteristic
328D4×Dic61—21no—
329D4×Dic61C2311yescharacteristic
330#14519739—21no—
331#14519739—21no—
332#14519739—21no—
333#14519739—21no—
334#14519739—21no—
335#14519739C2311yescharacteristic
336#14519739C2311yescharacteristic
337#14519739C2311yescharacteristic
338#14519739C2311yescharacteristic
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61D411yescharacteristic
345C4×C22⋊D61D411yescharacteristic
346C4×C22⋊D61C2311yescharacteristic
347C4×C22⋊D61C2311yescharacteristic
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519736—21no—
352#14519736D411yescharacteristic
353#14519735—21no—
354#14519735—21no—
355#14519735—21no—
356#14519735—21no—
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519735C2311yescharacteristic
360#14519734—21no—
361#14519734—21no—
362#14519734D411yescharacteristic
363#14519734D411yescharacteristic
364C2×C4⋊Dic61C2311yescharacteristic
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61C2311yescharacteristic
370C4⋊C4×D61C2311yescharacteristic
371C4⋊C4×D61C2311yescharacteristic
372C2×#11758198—21no—
373C22⋊C4×D61—21no—
374C22⋊C4×D61—21no—
375C22⋊C4×D61—21no—
376C42×D61—21no—
377C42×D61C2311yescharacteristic
378C42×D61C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434#14519687C2311yescharacteristic
435#126×C61—21no—
436#125×C61—21no—
437#125×C61—21no—
438#125×C61C2311yescharacteristic
439#125×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#124×C61C2311yescharacteristic
444#123×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446#121×C61C2311yescharacteristic
447C4×Q8×C61C2311yescharacteristic
448C4×D4×C61—21no—
449C4×D4×C61C2311yescharacteristic
450#117×C61—21no—
451C2×C4⋊C4×C61—21no—
452C2×C4⋊C4×C61—21no—
453C2×C4⋊C4×C61C2311yescharacteristic
454C2×C4⋊C4×C61C2311yescharacteristic
455C2×C42×C61C2311yescharacteristic
456#107×C61C2311yescharacteristic
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C4×C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—21no—
482C2×D4×C61C2411yescharacteristic
483C22×C4×C61—21no—
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61C2×D411yescharacteristic
487C22×C4×C61C2×D411yescharacteristic
488C22×C4×C61C2411yescharacteristic
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61C2×D411yescharacteristic
495C2×C22⋊D61C2×D411yescharacteristic
496C22×Dic61—21no—
497C22×Dic61—21no—
498#11758226—22no—
499#11758226—41no—
500D4×D61—22no—
501D4×D61—41no—
502D4×D61—44no—
503#11758222—42no—
504#11758222—44no—
505#11758222—82no—
506C2×D244—22no—
507C2×D244—21no—
508C2×D244—21no—
509C2×D244—21no—
510C2×D244—21no—
511C2×D244—21no—
512C2×D244—21no—
513C2×D244—41no—
514C2×D244C2×D411yescharacteristic
515C2×D244C2411yescharacteristic
516C2×D244C2411yescharacteristic
517C2×D244C2411yescharacteristic
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—82no—
532C2×C4×D61—82no—
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122C2×D411yescharacteristic
543C2×Dic122C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C42×C61—21no—
574C42×C61C2×D411yescharacteristic
575C42×C61C2×D411yescharacteristic
576C42×C61C2411yescharacteristic
577C42×C61C2411yescharacteristic
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61C2×D411yescharacteristic
582C22⋊Dic61C2×D411yescharacteristic
583#11758202—41no—
584#11758201—41no—
585#11758200—41no—
586#11758199—41no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198C2×D411yescharacteristic
612#11758198C2×D411yescharacteristic
613#11758198C2×D411yescharacteristic
614#11758198C2×D411yescharacteristic
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61C2×D411yescharacteristic
623C4⋊Dic61C2×D411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C2×#92418—41no—
662C2×#92418—41no—
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667D488—22no—
668D488—41no—
669#11758190—22no—
670#11758190—41no—
671#11758189—41no—
672#11758189—41no—
673#11758189—41no—
674#11758189—41no—
675C23×C61—21no—
676C23×C61C22×D411yescharacteristic
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—42no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—42no—
684C22×D61—81no—
685C22×D61—81no—
686C22×D61C22×D411yescharacteristic
687C22×D61C22×D411yescharacteristic
688Q8×C61—21no—
689Q8×C61—21no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—42no—
693C2×C4×C61—22no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—41no—
704C2×C4×C61—42no—
705C2×C4×C61—42no—
706C2×C4×C61—81no—
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C2511yescharacteristic
713C22⋊D61—22no—
714C22⋊D61—22no—
715C22⋊D61—42no—
716C22⋊D61—42no—
717C22⋊D61—42no—
718C22⋊D61—81no—
719C22⋊D61—81no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—81no—
726C2×Dic61—81no—
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733D244—21no—
734D244—21no—
735D244—21no—
736D244—21no—
737D244—21no—
738D244—41no—
739D244—42no—
740D244—42no—
741D244—42no—
742D244—42no—
743D244—81no—
744D244—81no—
745D2442−1+412yes—
746C4×D61—21no—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—41no—
751C4×D61—41no—
752C4×D61—41no—
753C4×D61—41no—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—42no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—42no—
760C4×D61—81no—
761C4×D61—81no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767Dic122—21no—
768Dic122—21no—
769Dic122—41no—
770Dic122—42no—
771Dic122—81no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62119—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61#57512yes—
788C22×C61C23×D411yescharacteristic
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—21no—
793C2×D61—22no—
794C2×D61—21no—
795C2×D61—21no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—84no—
805C2×D61—84no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61—41no—
818C4×C61C2×2−1+411yescharacteristic
819C4×C61#58511yescharacteristic
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—21no—
825Dic61—21no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515—611no—
832#3481—611no—
833#3389—611no—
834#3388—611no—
835#3371—611no—
836#3370—611no—
837#3355—611no—
838#3351—611no—
839#3346—611no—
840#3346—611no—
841#3345—611no—
842#3344—611no—
843#3323—611no—
844#3322—611no—
845#3318—611no—
846#3314—611no—
847#3310—611no—
848#3306—611no—
849#3256—611no—
850#3251—611no—
851#3250—611no—
852#3240—611no—
853#3234—611no—
854#3232D6111yescharacteristic, complemented
855#3114—611no—
856#3111—611no—
857#3105—611no—
858#3080—611no—
859#3077—611no—
860C2×#478—611no—
861#2989—611no—
862C2×C61—22no—
863C2×C61—81no—
864C2×C61#348911yescharacteristic
865C2×C61C2×#57511yescharacteristic
866C2×C61#358511yescharacteristic
867D61—41no—
868D61—41no—
869D61—42no—
870D61—81no—
871D61—81no—
872#559—611no—
873#557—611no—
874#554—611no—
875#554—611no—
876#554—611no—
877#554—611no—
878#553—611no—
879#553—611no—
880#553—611no—
881#553—611no—
882#553—1221no—
883#552—611no—
884#552—611no—
885#552—1221no—
886#552—1221no—
887#552—1221no—
888#551—1221no—
889#551—1221no—
890#547—611no—
891#547—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#541—1221no—
897#539—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#529—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#529—1221no—
906#529C2×D6111yescharacteristic
907C2×#125—611no—
908C2×#125C2×D6111yescharacteristic, complemented
909#525—1221no—
910#525—1221no—
911#520—1221no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—1221no—
917#501—611no—
918#501—611no—
919#501—611no—
920#501—611no—
921#499C2×D6111yescharacteristic, complemented
922#499C2×D6111yescharacteristic, complemented
923#490—611no—
924#490—611no—
925#489—611no—
926#489—611no—
927#488C2×D6111yescharacteristic, complemented
928#488C2×D6111yescharacteristic, complemented
929#485—611no—
930#485—611no—
931#485—611no—
932#484—611no—
933#484C2×D6111yescharacteristic, complemented
934#483—611no—
935#483C2×D6111yescharacteristic, complemented
936#482—611no—
937#482—611no—
938#482—611no—
939#481—611no—
940#481—611no—
941#481—611no—
942#481C2×D6111yescharacteristic
943#480—611no—
944#480—611no—
945#480—611no—
946#480C2×D6111yescharacteristic
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479C2×D6111yescharacteristic, complemented
953#479C2×D6111yescharacteristic, complemented
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478C2×D6111yescharacteristic, complemented
970#478C2×D6111yescharacteristic, complemented
971#476—611no—
972#476—611no—
973#475—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#469—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#467—611no—
986#466—611no—
987#465—611no—
988#465—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463—611no—
996#463—611no—
997#460—611no—
998#459—611no—
999#452—611no—
1000#450—611no—
1001#450—611no—
1002#449—611no—
1003#447—611no—
1004#447—611no—
1005#446—611no—
1006#446—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019#436—611no—
1020#436—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435—611no—
1025#432—611no—
1026#432—611no—
1027#431C2×D6111yescharacteristic, complemented
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428—611no—
1032C2×#107—611no—
1033C2×#106—611no—
1034#423—611no—
1035#423—611no—
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102—611no—
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C22×D4—611no—
1049C22×D4—611no—
1050C22×D4—1221no—
1051C23×C4—1221no—
1052C23×C4—1221no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16—611no—
1057C2×SD16—611no—
1058C2×D8—611no—
1059C2×D8—611no—
1060C2×D8—611no—
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C2×M16—611no—
1065C22×C8—611no—
1066C22×C8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—1221no—
1071#127—611no—
1072#126—21no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—21no—
1084#125—21no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—1221no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125C22×D6111yescharacteristic
1098#125C22×D6111yescharacteristic
1099#125C22×D6111yescharacteristic
1100#125C22×D6111yescharacteristic
1101#125C22×D6111yescharacteristic
1102#124—611no—
1103#124—611no—
1104#124—1221no—
1105#124—1221no—
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—1221no—
1109#123—1221no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8C22×D6111yescharacteristic
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121C22×D6111yescharacteristic
1157#120—1221no—
1158#120—1221no—
1159#120—1221no—
1160#120—1221no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—21no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4C22×D6111yescharacteristic
1207#117—21no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—21no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4C22×D6111yescharacteristic
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—1221no—
1240C2×C42C22×D6111yescharacteristic
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107C22×D6111yescharacteristic
1250#107C22×D6111yescharacteristic
1251#107C22×D6111yescharacteristic
1252#107C22×D6111yescharacteristic
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106C22×D6111yescharacteristic
1262#106C22×D6111yescharacteristic
1263#106C22×D6111yescharacteristic
1264#106C22×D6111yescharacteristic
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8—611no—
1273C4⋊C8C22×D6111yescharacteristic
1274C4⋊C8C22×D6111yescharacteristic
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103C22×D6111yescharacteristic
1282#103C22×D6111yescharacteristic
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305#102C22×D6111yescharacteristic
1306#102C22×D6111yescharacteristic
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8C22×D6111yescharacteristic
1312C22⋊C8C22×D6111yescharacteristic
1313#97—611no—
1314#97—611no—
1315#97—611no—
1316#97—611no—
1317C4×C8C22×D6111yescharacteristic
1318C4×C8C22×D6111yescharacteristic
1319C24—1221no—
1320C24—1221no—
1321#41—1222no—
1322#41—4882no—
1323#41—2442no—
1324#41—2444no—
1325#41—2441no—
1326C2×Q8—611no—
1327C2×Q8—611no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—21no—
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—611no—
1337C2×D4—611no—
1338C2×D4—611no—
1339C2×D4—1222no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1222no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—2441no—
1353C2×D4—2441no—
1354C2×D4—2444no—
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—4882no—
1381C22×C4—4882no—
1382C22×C4D4×D6111yescharacteristic
1383C22×C4D4×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—2441no—
1386SD16—1222no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—1222no—
1391D8—2441no—
1392D8—2441no—
1393M16—2441no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—611no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—2441no—
1402C2×C8—2441no—
1403C2×C8C23×D6111yescharacteristic
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—611no—
1426C4⋊C4—611no—
1427C4⋊C4—611no—
1428C4⋊C4—611no—
1429C4⋊C4—611no—
1430C4⋊C4—611no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C4⋊C4C23×D6111yescharacteristic
1459C4⋊C4C23×D6111yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
1467C22⋊C4—611no—
1468C22⋊C4—611no—
1469C22⋊C4—611no—
1470C22⋊C4—611no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C42—21no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42D4×D6111yescharacteristic
1513C42D4×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—611no—
1518C23—611no—
1519C23—1221no—
1520C23—1221no—
1521C23—1221no—
1522C23—4881no—
1523C23—4881no—
1524C23—2442no—
1525C23—2442no—
1526C23—2442no—
1527C23—2442no—
1528C23C2×D4×D6111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—1221no—
1532Q8—1221no—
1533Q8—4881no—
1534Q8—4881no—
1535Q8—2441no—
1536Q8—2442no—
1537D4—21no—
1538D4—21no—
1539D4—42no—
1540D4—612no—
1541D4—1222no—
1542D4—1222no—
1543D4—1221no—
1544D4—1221no—
1545D4—1221no—
1546D4—1221no—
1547D4—1221no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—2441no—
1553D4—2442no—
1554D4—2442no—
1555D4—2442no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4—2442no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—41no—
1571C2×C4—42no—
1572C2×C4—42no—
1573C2×C4—81no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—4881no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—2441no—
1599C2×C4—2441no—
1600C2×C4—2441no—
1601C2×C4—2441no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4—2442no—
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—21no—
1623C22—21no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—1221no—
1628C22—1221no—
1629C22—1222no—
1630C22—1221no—
1631C22—1221no—
1632C22—1221no—
1633C22—1221no—
1634C22—4884no—
1635C22—4884no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22#1684055912yes—
1645C22C22×D4×D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—1221no—
1663C4—1221no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C42−1+4×D6111yescharacteristic
1670C4#1684059911yescharacteristic
1671C2—22no—
1672C2—81no—
1673C2—4881no—
1674C2—4881no—
1675C2—2441no—
1676C2—2441no—
1677C2—2442no—
1678C2#2145949711yescharacteristic
1679C2C2×#1684055911yescharacteristic
1680C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3232C2
socleC22×C61C23×D4
hypercenter#3232D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3232

Complements

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

NH ≅ G/Ntype
1. #21459791C2semidirect
2. #21459425C2semidirect
3. #21458780C2semidirect
4. #21458770C2semidirect
5. #21458593C2semidirect
6. #21458578C2semidirect
7. #21458423C2semidirect
8. #21458378C2semidirect
9. #21458308C2semidirect
10. #21458302C2semidirect
11. #21458293C2semidirect
12. #21458278C2semidirect
13. #21458034C2semidirect
14. #21458019C2semidirect
15. #21457958C2semidirect
16. #21457898C2semidirect
17. #21457838C2semidirect
18. #21457778C2semidirect
19. #21457222C2semidirect
20. #21457180C2semidirect
21. #21457166C2semidirect
22. #21457064C2semidirect
23. #21457007C2semidirect
24. #21455962C2semidirect
25. #21455935C2semidirect
26. #21455868C2semidirect
27. #21455638C2semidirect
28. #21455614C2semidirect
29. C2×#16840059C2semidirect
30. #21454932C2semidirect
31. C61×#3232C2semidirect
33. #16840489C22semidirect
36. #16840468C22semidirect
37. #16840467C22semidirect
39. #16840465C22semidirect
43. #16840450C22semidirect
51. #16840413C22semidirect
59. #16840318C22semidirect
62. #16840297C22semidirect
63. #16840297C22semidirect
64. #16840296C22semidirect
66. #125×D61C22semidirect
75. #16840170C22semidirect
76. #16840170C22semidirect
77. #16840169C22semidirect
78. #16840169C22semidirect
81. #16840123C22semidirect
82. #16840123C22semidirect
83. #16840106C22semidirect
84. #16840102C22semidirect
85. #16840101C22semidirect
86. #16840098C22semidirect
87. #16840094C22semidirect
89. #16840089C22semidirect
91. #16840082C22semidirect
92. #16840081C22semidirect
93. #16840079C22semidirect
94. #16840077C22semidirect
95. #16840077C22semidirect
96. #16840074C22semidirect
97. #16840072C22semidirect
98. #16840071C22semidirect
99. #16840069C22semidirect
100. #16840067C22semidirect
101. #16840066C22semidirect
103. #16840065C22semidirect
105. #16840063C22semidirect
106. #16840062C22semidirect
112. #16840059C22semidirect
113. #16840059C22semidirect
114. #16840059C22semidirect
115. #16840059C22semidirect
116. #16840059C22semidirect
118. #16840050C22semidirect
119. #16840046C22semidirect
121. #16840041C22semidirect
122. #16840040C22semidirect
123. #16840019C22semidirect
125. #16840016C22semidirect
126. #16840014C22semidirect
127. #16840011C22semidirect
129. #16840009C22semidirect
130. #16840007C22semidirect
131. #16840001C22semidirect
133. #16839993C22semidirect
135. #16839987C22semidirect
136. #16839984C22semidirect
137. #16839981C22semidirect
138. #16839980C22semidirect
140. #16839978C22semidirect
141. #16839977C22semidirect
142. #16839974C22semidirect
151. #16839892C22semidirect
152. #16839892C22semidirect
155. #16839871C22semidirect
156. #16839866C22semidirect
157. #16839865C22semidirect
160. #16839859C22semidirect
162. C4×#11758190C22semidirect
164. C4×D488C22semidirect
165. #16839841C22semidirect
166. #16839841C22semidirect
169. #16839830C22semidirect
170. #16839830C22semidirect
171. #16839818C22semidirect
172. #16839818C22semidirect
173. #16839803C22semidirect
174. #16839803C22semidirect
175. #16839801C22semidirect
176. #16839801C22semidirect
177. C2×#14519710C22semidirect
178. C2×#14519708C22semidirect
179. #16839784C22semidirect
180. #16839784C22semidirect
181. C2×C4⋊#92418C22semidirect
189. C2×#125×C61C22semidirect
190. C61×#499C22semidirect
191. C61×#499C22semidirect
192. C61×#488C22semidirect
193. C61×#488C22semidirect
194. C61×#484C22semidirect
195. C61×#483C22semidirect
198. C61×#479C22semidirect
199. C61×#479C22semidirect
200. C61×#478C22semidirect
201. C61×#478C22semidirect
202. C61×#431C22semidirect
854. #3232D61semidirect
908. C2×#125C2×D61semidirect
921. #499C2×D61semidirect
922. #499C2×D61semidirect
927. #488C2×D61semidirect
928. #488C2×D61semidirect
933. #484C2×D61semidirect
935. #483C2×D61semidirect
952. #479C2×D61semidirect
953. #479C2×D61semidirect
969. #478C2×D61semidirect
970. #478C2×D61semidirect
1027. #431C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597912
#214594252
#214587802
#214587702
#214585932
#214585782
#214584232
#214583782
#214583082
#214583022
#214582932
#214582782
#214580342
#214580192
#214579582
#214578982
#214578382
#214577782
#214572222
#214571802
#214571662
#214570642
#214570072
#214559622
#214559352
#214558682
#214556382
#214556142
C2×#168400592
#214549322
C61×#32322
#6211961