Finite Group Databasebeta

← #30573756

Subgroups — #30573756

Order 15616.

1786 conjugacy classes of subgroups.

The subgroup lattice has 1738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460287C211yesmaximal, characteristic, complemented
2#21459920C211yesmaximal, characteristic, complemented
3#21458905C211yesmaximal, characteristic, complemented
4#21458873C211yesmaximal, characteristic, complemented
5#21458620C211yesmaximal, characteristic, complemented
6#21458592C211yesmaximal, characteristic, complemented
7#21458010C211yesmaximal, characteristic, complemented
8#21457988C211yesmaximal, characteristic, complemented
9#21457918C211yesmaximal, characteristic, complemented
10#21457828C211yesmaximal, characteristic, complemented
11#21457749C211yesmaximal, characteristic, complemented
12#21457704C211yesmaximal, characteristic, complemented
13#21457561C211yesmaximal, characteristic, complemented
14#21457542C211yesmaximal, characteristic, complemented
15#21457402C211yesmaximal, characteristic, complemented
16#21457397C211yesmaximal, characteristic, complemented
17#21457387C211yesmaximal, characteristic, complemented
18#21457376C211yesmaximal, characteristic, complemented
19#21457284C211yesmaximal, characteristic, complemented
20#21457237C211yesmaximal, characteristic, complemented
21#21457158C211yesmaximal, characteristic, complemented
22#21456930C211yesmaximal, characteristic, complemented
23#21456877C211yesmaximal, characteristic, complemented
24#21456855C211yesmaximal, characteristic, complemented
25#21456053C211yesmaximal, characteristic, complemented
26#21455984C211yesmaximal, characteristic, complemented
27#21455369C211yesmaximal, characteristic, complemented
28#21455347C211yesmaximal, characteristic, complemented
29#21455273C211yesmaximal, characteristic, complemented
30#21454953C211yesmaximal, characteristic, complemented
31C61×#3124C211yesmaximal, characteristic, complemented
32C2×#14519807C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C2×#14519800C2211yescharacteristic
35C2×#14519798C2211yescharacteristic
36C2×#14519797C2211yescharacteristic
37C2×Q16×D61C2211yescharacteristic
38#16840508—21no—
39#16840506—21no—
40#16840495—21no—
41#16840495C2211yescharacteristic
42#16840495C2211yescharacteristic
43#16840494—21no—
44#16840491C2211yescharacteristic
45#16840490C2211yescharacteristic
46#16840477—21no—
47#16840477C2211yescharacteristic
48#16840470—21no—
49#16840460—21no—
50#16840460C2211yescharacteristic
51#16840447—21no—
52#16840447C2211yescharacteristic
53#16840431C2211yescharacteristic
54#16840430C2211yescharacteristic
55#16840425C2211yescharacteristic
56#16840424C2211yescharacteristic
57#16840424C2211yescharacteristic
58#16840419C2211yescharacteristic
59#16840418C2211yescharacteristic
60#16840416C2211yescharacteristic
61#16840414C2211yescharacteristic
62#16840386C2211yescharacteristic
63#16840383—21no—
64#16840383C2211yescharacteristic
65#16840378—21no—
66#16840364—21no—
67#16840363—21no—
68#16840363C2211yescharacteristic
69#16840356—21no—
70#16840353—21no—
71#16840338C2211yescharacteristic
72#16840332C2211yescharacteristic
73#16840317C2211yescharacteristic
74#16840311C2211yescharacteristic
75#16840294—21no—
76#16840294C2211yescharacteristic
77#16840290—21no—
78#16840290C2211yescharacteristic
79#16840238C2211yescharacteristic
80C4×#11758226C2211yescharacteristic
81#16840156C2211yescharacteristic
82#16840153C2211yescharacteristic
83#16840150C2211yescharacteristic
84#16840150C2211yescharacteristic
85#16840146C2211yescharacteristic
86#16840133C2211yescharacteristic
87#16840129C2211yescharacteristic
88#16840129C2211yescharacteristic
89#16840125C2211yescharacteristic
90#16840122C2211yescharacteristic
91#16840115C2211yescharacteristic
92#16840113C2211yescharacteristic
93#16840105C2211yescharacteristic
94#16840105C2211yescharacteristic
95#16840105C2211yescharacteristic
96#16840089C2211yescharacteristic
97#16840068C2211yescharacteristic
98#16840068C2211yescharacteristic
99#16840068C2211yescharacteristic
100#16840065C2211yescharacteristic
101#16840052C2211yescharacteristic
102#16840049C2211yescharacteristic
103#16840047C2211yescharacteristic
104#16840044C2211yescharacteristic
105#16840018C2211yescharacteristic
106#16840014C2211yescharacteristic
107#16840013C2211yescharacteristic
108#16840009C2211yescharacteristic
109#16840004C2211yescharacteristic
110#16840004C2211yescharacteristic
111#16839999C2211yescharacteristic
112#16839993C2211yescharacteristic
113#16839990C2211yescharacteristic
114#16839990C2211yescharacteristic
115#16839990C2211yescharacteristic
116#16839989C2211yescharacteristic
117#16839985C2211yescharacteristic
118#16839984C2211yescharacteristic
119#16839984C2211yescharacteristic
120#16839984C2211yescharacteristic
121#16839983C2211yescharacteristic
122#16839983C2211yescharacteristic
123#16839983C2211yescharacteristic
124#16839982C2211yescharacteristic
125#16839981C2211yescharacteristic
126#16839978C2211yescharacteristic
127#16839977C2211yescharacteristic
128#16839977C2211yescharacteristic
129#16839977C2211yescharacteristic
130#16839974C2211yescharacteristic
131#16839973C2211yescharacteristic
132#16839972C2211yescharacteristic
133#16839972C2211yescharacteristic
134#16839971C2211yescharacteristic
135#16839970C2211yescharacteristic
136#16839970C2211yescharacteristic
137#16839968C2211yescharacteristic
138#16839967C2211yescharacteristic
139#16839967C2211yescharacteristic
140#16839966C2211yescharacteristic
141#16839961C2211yescharacteristic
142#16839960C2211yescharacteristic
143#16839956C2211yescharacteristic
144#16839956C2211yescharacteristic
145#16839927C2211yescharacteristic
146#16839927C2211yescharacteristic
147#16839927C2211yescharacteristic
148#16839926C2211yescharacteristic
149#16839925C2211yescharacteristic
150#16839920C2211yescharacteristic
151#16839919C2211yescharacteristic
152#16839909C2211yescharacteristic
153#16839908C2211yescharacteristic
154#16839906C2211yescharacteristic
155#16839904C2211yescharacteristic
156#16839904C2211yescharacteristic
157#16839903C2211yescharacteristic
158#16839902C2211yescharacteristic
159#16839902C2211yescharacteristic
160#16839899C2211yescharacteristic
161#16839892C2211yescharacteristic
162#16839890C2211yescharacteristic
163#16839866C2211yescharacteristic
164#16839866C2211yescharacteristic
165#16839866C2211yescharacteristic
166#16839861C2211yescharacteristic
167#16839861C2211yescharacteristic
168#16839861C2211yescharacteristic
169#16839856C2211yescharacteristic
170#16839847C2211yescharacteristic
171#16839836C2211yescharacteristic
172#16839836C2211yescharacteristic
173#16839835C2211yescharacteristic
174#16839830C2211yescharacteristic
175C8×D244C2211yescharacteristic
176#16839825C2211yescharacteristic
177#16839822C2211yescharacteristic
178#16839818C2211yescharacteristic
179#16839789C2211yescharacteristic
180#16839787C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839769C2211yescharacteristic
183#16839761C2211yescharacteristic
184#16839757C2211yescharacteristic
185#16839755C2211yescharacteristic
186#16839755C2211yescharacteristic
187C2×#14519700C2211yescharacteristic
188C61×#542C2211yescharacteristic
189C61×#520C2211yescharacteristic
190C61×#484C2211yescharacteristic
191C61×#480C2211yescharacteristic
192C61×#477C2211yescharacteristic
193C61×#474C2211yescharacteristic
194C61×#464C2211yescharacteristic
195C61×#463C2211yescharacteristic
196C61×#452C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#440C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C4×Q16×C61C2211yescharacteristic
201C4×D8×C61C2211yescharacteristic
202C61×#433C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C2×#11758224C2311yescharacteristic
208C22×Dic122C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211#14519807—42no—
212#14519806—42no—
213#14519800—42no—
214#14519798—42no—
215#14519797—42no—
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×Dic244C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223Q16×D61—42no—
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234C2×D488C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758194C2311yescharacteristic
238C2×#11758189C2311yescharacteristic
239C22×#92418C2311yescharacteristic
240C2×C8×D61C2311yescharacteristic
241C2×C8×D61C2311yescharacteristic
242C2×C8×D61C2311yescharacteristic
243#14519777—21no—
244#14519777C2311yescharacteristic
245#14519777C2311yescharacteristic
246#14519777C2311yescharacteristic
247#14519776—21no—
248#14519775C2311yescharacteristic
249#14519775C2311yescharacteristic
250#14519773—21no—
251#14519773—21no—
252#14519773C2311yescharacteristic
253#14519773C2311yescharacteristic
254#14519772—21no—
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519772D411yescharacteristic
259#14519770—21no—
260#14519770D411yescharacteristic
261#14519769—21no—
262#14519768—21no—
263#14519768—21no—
264#14519768—21no—
265#14519768C2311yescharacteristic
266#14519768C2311yescharacteristic
267#14519767—21no—
268#14519767—21no—
269#14519767—21no—
270#14519767D411yescharacteristic
271#14519766—21no—
272#14519765—21no—
273#14519765—21no—
274#14519765C2311yescharacteristic
275#14519765C2311yescharacteristic
276#14519765C2311yescharacteristic
277#14519764—21no—
278#14519764C2311yescharacteristic
279#14519764C2311yescharacteristic
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519763—21no—
286#14519763D411yescharacteristic
287#14519762—21no—
288#14519762—21no—
289#14519762—21no—
290#14519762D411yescharacteristic
291#14519761—21no—
292#14519761—21no—
293#14519761—21no—
294#14519761—21no—
295#14519760—21no—
296#14519760—21no—
297#14519760—21no—
298#14519760—21no—
299#14519759—21no—
300#14519759—21no—
301#14519759—21no—
302#14519759—21no—
303#14519759—21no—
304#14519759—21no—
305#14519759—21no—
306#14519759—21no—
307#14519759D411yescharacteristic
308#14519757—21no—
309#14519757—21no—
310#14519757—21no—
311#14519757—21no—
312#14519757C2311yescharacteristic
313#14519757C2311yescharacteristic
314#14519757C2311yescharacteristic
315#14519757C2311yescharacteristic
316#14519756—21no—
317#14519756C2311yescharacteristic
318#14519755—21no—
319#14519755—21no—
320#14519755D411yescharacteristic
321#14519754—21no—
322#14519754—21no—
323#14519754—21no—
324#14519754—21no—
325#14519753—21no—
326#14519753—21no—
327#14519752—21no—
328#14519752—21no—
329#14519752C2311yescharacteristic
330#14519752C2311yescharacteristic
331#14519751—21no—
332#14519751—21no—
333#14519751—21no—
334#14519751—21no—
335#14519751—21no—
336#14519751C2311yescharacteristic
337#14519750—21no—
338#14519750—21no—
339#14519750—21no—
340#14519750—21no—
341#14519750—21no—
342#14519750D411yescharacteristic
343#14519749—21no—
344#14519749—21no—
345#14519748—21no—
346#14519748—21no—
347#14519748C2311yescharacteristic
348#14519748C2311yescharacteristic
349Q8×Dic61—21no—
350Q8×Dic61C2311yescharacteristic
351Q8×Dic61C2311yescharacteristic
352C4×Dic122—21no—
353C4×Dic122—21no—
354C4×Dic122—21no—
355C4×Dic122C2311yescharacteristic
356C4×Dic122C2311yescharacteristic
357#14519742—21no—
358#14519742C2311yescharacteristic
359#14519742C2311yescharacteristic
360#14519742C2311yescharacteristic
361#14519742C2311yescharacteristic
362C4×D244—21no—
363C4×D244—21no—
364C4×D244—21no—
365C4×D244C2311yescharacteristic
366C4×D244C2311yescharacteristic
367D4×Dic61—21no—
368#14519739—21no—
369#14519739C2311yescharacteristic
370#14519739C2311yescharacteristic
371C4×C22⋊D61—21no—
372C4×C22⋊D61—21no—
373C4×C22⋊D61—21no—
374C4×C22⋊D61—21no—
375C4×C22⋊D61—21no—
376C4×C22⋊D61—21no—
377C4×C22⋊D61C2311yescharacteristic
378C4×C22⋊D61C2311yescharacteristic
379#14519737—21no—
380#14519737—21no—
381#14519737—21no—
382#14519737—21no—
383#14519736—21no—
384#14519736—21no—
385#14519736—21no—
386#14519735—21no—
387#14519735—21no—
388#14519735—21no—
389#14519735C2311yescharacteristic
390#14519735C2311yescharacteristic
391#14519734—21no—
392#14519734C2311yescharacteristic
393C2×C4⋊Dic61—21no—
394C4⋊C4×D61—21no—
395C42×D61—21no—
396C42×D61C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
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#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439#14519687C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C2×Q16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446C4⋊Q8×C61C2311yescharacteristic
447#126×C61—21no—
448#124×C61—21no—
449#124×C61C2311yescharacteristic
450#123×C61—21no—
451C22⋊Q8×C61—21no—
452C22⋊Q8×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×D4×C61—21no—
458C4×D4×C61—21no—
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462#117×C61—21no—
463#117×C61C2311yescharacteristic
464C2×C4⋊C4×C61—21no—
465C2×C4⋊C4×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#107×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×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
484#41×C61—22no—
485#41×C61—41no—
486C2×Q8×C61—21no—
487C2×Q8×C61C2411yescharacteristic
488C2×Q8×C61C2411yescharacteristic
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61C2411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61C2411yescharacteristic
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61C2×D411yescharacteristic
510C2×C22⋊D61C2×D411yescharacteristic
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514#11758226—22no—
515#11758226—41no—
516#11758226—41no—
517#11758226—41no—
518Q8×D61—22no—
519Q8×D61—41no—
520Q8×D61—41no—
521Q8×D61—41no—
522#11758224—41no—
523#11758224—41no—
524#11758224—41no—
525#11758224—41no—
526#11758222—41no—
527#11758222—41no—
528C2×D244—21no—
529C2×D244—21no—
530C2×D244—21no—
531C2×D244—21no—
532C2×D244C2×D411yescharacteristic
533C2×D244C2411yescharacteristic
534C2×D244C2411yescharacteristic
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61C2×D411yescharacteristic
544C2×C4×D61C2×D411yescharacteristic
545C2×C4×D61C2411yescharacteristic
546C2×C4×D61C2411yescharacteristic
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—41no—
552C2×Dic122—41no—
553C2×Dic122C2×D411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556C2×Dic122C2411yescharacteristic
557C2×Dic122C2411yescharacteristic
558Q16×C61—22no—
559SD16×C61—22no—
560SD16×C61—41no—
561D8×C61—41no—
562C2×C8×C61C2411yescharacteristic
563C2×C8×C61C2411yescharacteristic
564C2×C8×C61C2411yescharacteristic
565C2×C8×C61C2411yescharacteristic
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61C2×D411yescharacteristic
573C4⋊C4×C61C2×D411yescharacteristic
574C4⋊C4×C61C2411yescharacteristic
575C4⋊C4×C61C2411yescharacteristic
576C4⋊C4×C61C2411yescharacteristic
577C4⋊C4×C61C2411yescharacteristic
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61C2×D411yescharacteristic
586C22⋊C4×C61C2×D411yescharacteristic
587C42×C61—21no—
588C42×C61—21no—
589C42×C61—21no—
590C42×C61C2411yescharacteristic
591C42×C61C2411yescharacteristic
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61C2×D411yescharacteristic
600C22⋊Dic61C2×D411yescharacteristic
601#11758202—22no—
602#11758202—22no—
603#11758202—22no—
604#11758202—41no—
605#11758201—22no—
606#11758201—41no—
607#11758200—41no—
608#11758200—41no—
609#11758200—41no—
610#11758200—41no—
611#11758199—41no—
612#11758199—41no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198C2×D411yescharacteristic
632#11758198C2×D411yescharacteristic
633#11758198C2×D411yescharacteristic
634#11758198C2×D411yescharacteristic
635#11758198C2×D411yescharacteristic
636#11758198C2×D411yescharacteristic
637C4⋊Dic61—21no—
638C4⋊Dic61—21no—
639C4⋊Dic61—21no—
640C4⋊Dic61—21no—
641C4⋊Dic61—21no—
642C4⋊Dic61—21no—
643C4⋊Dic61—21no—
644C4⋊Dic61—21no—
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
654#11758196—21no—
655#11758196—21no—
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#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61C2×D411yescharacteristic
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2411yescharacteristic
684C4×Dic61C2411yescharacteristic
685#11758194—41no—
686C2×#92418—41no—
687C2×#92418C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691Dic244—41no—
692Dic244—41no—
693Dic244—41no—
694D488—41no—
695#11758190—41no—
696#11758190—41no—
697#11758190—41no—
698#11758190—41no—
699#11758189—41no—
700C8×D61—41no—
701C8×D61—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61C22×D411yescharacteristic
706C22×D61—21no—
707C22×D61—21no—
708C22×D61C22×D411yescharacteristic
709C22×D61C22×D411yescharacteristic
710Q8×C61—21no—
711Q8×C61—21no—
712Q8×C61—21no—
713Q8×C61—81no—
714Q8×C61H(5,𝔽2)12yes—
715D4×C61—21no—
716D4×C61—21no—
717D4×C61—21no—
718D4×C61—21no—
719D4×C61—42no—
720D4×C61—81no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—42no—
730C2×C4×C61—81no—
731C2×C4×C61—81no—
732C2×C4×C61—81no—
733C2×C4×C61—81no—
734C2×C4×C61C22×D411yescharacteristic
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C2511yescharacteristic
740C22⋊D61—41no—
741C22⋊D61—41no—
742C22⋊D61—42no—
743C22⋊D61—81no—
744C22⋊D61—81no—
745C22⋊D61—81no—
746C22⋊D61—81no—
747C22⋊D61—81no—
748C22⋊D61—81no—
749C22⋊D61—81no—
750C22⋊D61—81no—
751C22⋊D61—81no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—81no—
759C2×Dic61—81no—
760C2×Dic61—81no—
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763C2×Dic61C22×D411yescharacteristic
764C2×Dic61C22×D411yescharacteristic
765C2×Dic61C22×D411yescharacteristic
766C2×Dic61C22×D411yescharacteristic
767D244—21no—
768D244—21no—
769D244—21no—
770D244—21no—
771D244—41no—
772D244—42no—
773D244—81no—
774D244—81no—
775D244—81no—
776C4×D61—21no—
777C4×D61—21no—
778C4×D61—21no—
779C4×D61—21no—
780C4×D61—41no—
781C4×D61—41no—
782C4×D61—42no—
783C4×D61—42no—
784C4×D61—81no—
785C4×D61—81no—
786C4×D61—81no—
787C4×D61—81no—
788C4×D61—81no—
789C4×D61—81no—
790Dic122—21no—
791Dic122—21no—
792Dic122—21no—
793Dic122—21no—
794Dic122—21no—
795Dic122—21no—
796Dic122—21no—
797Dic122—21no—
798Dic122—41no—
799Dic122—42no—
800Dic122—81no—
801Dic122—81no—
802Dic122—81no—
803C8×C61—21no—
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807#92418—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#62025—611nomaximal, Sylow
812C22×C61—21no—
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61C23×D411yescharacteristic
822C2×D61—21no—
823C2×D61—21no—
824C2×D61—21no—
825C2×D61—21no—
826C2×D61—21no—
827C2×D61—21no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C4×C61—21no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—22no—
839C4×C61—21no—
840C4×C61—41no—
841C4×C61—41no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61—41no—
845C4×C61C2×H(5,𝔽2)11yescharacteristic
846C4×C61#58511yescharacteristic
847Dic61—21no—
848Dic61—21no—
849Dic61—21no—
850Dic61—21no—
851Dic61—21no—
852Dic61—21no—
853Dic61—41no—
854Dic61—41no—
855Dic61—41no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859#3554—611no—
860#3524—611no—
861#3403—611no—
862#3400—611no—
863#3374—611no—
864#3371—611no—
865#3321—611no—
866#3320—611no—
867#3315—611no—
868#3309—611no—
869#3303—611no—
870#3300—611no—
871#3285—611no—
872#3284—611no—
873#3271—611no—
874#3271—611no—
875#3270—611no—
876#3269—611no—
877#3263—611no—
878#3257—611no—
879#3248—611no—
880#3225—611no—
881#3221—611no—
882#3219—611no—
883#3124D6111yescharacteristic, complemented
884#3121—611no—
885#3116—611no—
886#3046—611no—
887#3044—611no—
888#3035—611no—
889#2992—611no—
890C2×C61—41no—
891C2×C61—81no—
892C2×C61—81no—
893C2×C61#348811yescharacteristic
894C2×C61#358411yescharacteristic
895C2×C61#358611yescharacteristic
896D61—41no—
897D61—41no—
898D61—81no—
899D61—81no—
900C2×#137—611no—
901C2×#137—611no—
902C2×#135—611no—
903C2×#135—611no—
904C2×#135—611no—
905C22×Q16—611no—
906#562—1221no—
907#562—1221no—
908#559—611no—
909#559—611no—
910#559—1221no—
911#559—1221no—
912#557—611no—
913#557—611no—
914#555—611no—
915#555—1221no—
916#554—1221no—
917#553—611no—
918#553—1221no—
919#552—611no—
920#552—1221no—
921#550—611no—
922#550—611no—
923D4×Q8—611no—
924#548—611no—
925#548—611no—
926#548—611no—
927#548—611no—
928#547—611no—
929#547—611no—
930#542—611no—
931#542—611no—
932#542—1221no—
933#542—1221no—
934#542C2×D6111yescharacteristic
935#540—611no—
936#540—1221no—
937#540—1221no—
938#539—1221no—
939#539—1221no—
940#536—611no—
941#536—611no—
942#533—611no—
943#532—611no—
944#529—611no—
945#529—611no—
946#529—1221no—
947#529—1221no—
948#520C2×D6111yescharacteristic
949#519—611no—
950C4×#41—611no—
951#497—611no—
952#497—611no—
953#496—611no—
954#496—611no—
955#495—611no—
956#492—611no—
957#491—611no—
958#491—611no—
959#490—611no—
960#489—611no—
961#488—611no—
962#487—611no—
963#485—611no—
964#485—611no—
965#485—611no—
966#484C2×D6111yescharacteristic
967#482—611no—
968#480C2×D6111yescharacteristic
969#479—611no—
970#479—611no—
971#479—611no—
972#478—611no—
973#477C2×D6111yescharacteristic
974#476—611no—
975#476—611no—
976#475—611no—
977#475—611no—
978#474C2×D6111yescharacteristic
979#470—611no—
980#469—611no—
981#469—611no—
982#468—611no—
983#467—611no—
984#467—611no—
985#466—611no—
986#465—611no—
987#465—611no—
988#465—611no—
989#465—611no—
990#465—611no—
991#464—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#464—611no—
1000#464C2×D6111yescharacteristic
1001#463—611no—
1002#463—611no—
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463C2×D6111yescharacteristic
1007#462—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#461—611no—
1014#461—611no—
1015#461—611no—
1016#461—611no—
1017#460—611no—
1018#460—611no—
1019#459—611no—
1020#459—611no—
1021#452—611no—
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452C2×D6111yescharacteristic
1027#451—611no—
1028#451—611no—
1029#449—611no—
1030#449—611no—
1031#449—611no—
1032#449—611no—
1033#449—611no—
1034#449C2×D6111yescharacteristic
1035#448—611no—
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#446—611no—
1040#446—611no—
1041#441—611no—
1042#441—611no—
1043#441—611no—
1044#440—611no—
1045#440—611no—
1046#440—611no—
1047#440C2×D6111yescharacteristic
1048#440C2×D6111yescharacteristic
1049C4×Q16—611no—
1050C4×Q16C2×D6111yescharacteristic
1051C4×SD16—611no—
1052C4×D8C2×D6111yescharacteristic
1053#435—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057C8×D4—611no—
1058C8×D4—611no—
1059#433—611no—
1060#433C2×D6111yescharacteristic
1061#432—611no—
1062#424—611no—
1063#424—611no—
1064C2×C4⋊C8—611no—
1065#419—611no—
1066#417—611no—
1067#416—611no—
1068#416—611no—
1069#416—611no—
1070C2×#103—611no—
1071C61#6202511yescharacteristic, complemented, Sylow
1072C2×#41—611no—
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41—611no—
1077C2×#41C22×D6111yescharacteristic
1078C22×Q8—611no—
1079C22×Q8—611no—
1080C22×Q8—611no—
1081#137—2442no—
1082#137—2442no—
1083#135—2442no—
1084#135—2442no—
1085#135—2442no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16—611no—
1093C2×Q16—2442no—
1094C2×Q16C22×D6111yescharacteristic
1095C2×SD16—611no—
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16—611no—
1104C2×SD16—611no—
1105C2×SD16C22×D6111yescharacteristic
1106C2×SD16C22×D6111yescharacteristic
1107C2×D8—611no—
1108C2×D8—611no—
1109C2×D8—611no—
1110C2×D8C22×D6111yescharacteristic
1111C2×M16—611no—
1112C2×M16—611no—
1113C22×C8—611no—
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8—611no—
1117C4⋊Q8—611no—
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—1221no—
1123C4⋊Q8—1221no—
1124C4⋊Q8C22×D6111yescharacteristic
1125#127—611no—
1126#127—611no—
1127#127—1221no—
1128#127—1221no—
1129#126—21no—
1130#126—611no—
1131#126—611no—
1132#126—1221no—
1133#126—1221no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#125—611no—
1138#125—611no—
1139#125—611no—
1140#125—1221no—
1141#125—1221no—
1142#125—1221no—
1143#125—1221no—
1144#125—1221no—
1145#125—1221no—
1146#125—1221no—
1147#124—21no—
1148#124—611no—
1149#124—611no—
1150#124—611no—
1151#124—611no—
1152#124—611no—
1153#124—611no—
1154#124—1221no—
1155#124—1221no—
1156#124—1221no—
1157#124—1221no—
1158#124—1221no—
1159#124—1221no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124C22×D6111yescharacteristic
1165#123—21no—
1166#123—611no—
1167#123—611no—
1168#123—1221no—
1169#123—1221no—
1170#123—1221no—
1171#123—1221no—
1172#123—1221no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185#123—1221no—
1186#123—1221no—
1187C22⋊Q8—21no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
1191C22⋊Q8—611no—
1192C22⋊Q8—611no—
1193C22⋊Q8—611no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206C22⋊Q8—1221no—
1207C22⋊Q8C22×D6111yescharacteristic
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—611no—
1212#121—611no—
1213#121—611no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#121—1221no—
1229#121—1221no—
1230#121C22×D6111yescharacteristic
1231C4×Q8—611no—
1232C4×Q8—611no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—1221no—
1240C4×Q8—1221no—
1241C4×Q8—1221no—
1242C4×Q8—1221no—
1243C4×Q8—1221no—
1244C4×Q8C22×D6111yescharacteristic
1245C4×Q8C22×D6111yescharacteristic
1246C4×Q8C22×D6111yescharacteristic
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—611no—
1250C4×D4—611no—
1251C4×D4—611no—
1252C4×D4—611no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—1221no—
1256C4×D4—1221no—
1257C4×D4—1221no—
1258C4×D4—1221no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4C22×D6111yescharacteristic
1271C4×D4C22×D6111yescharacteristic
1272C4×D4C22×D6111yescharacteristic
1273#117—21no—
1274#117—611no—
1275#117—611no—
1276#117—611no—
1277#117—1221no—
1278#117—1221no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117C22×D6111yescharacteristic
1285C2×C4⋊C4—21no—
1286C2×C4⋊C4—1221no—
1287C2×C4⋊C4—1221no—
1288C2×C4⋊C4C22×D6111yescharacteristic
1289C2×C42—611no—
1290C2×C42—1221no—
1291#107C22×D6111yescharacteristic
1292#107C22×D6111yescharacteristic
1293#107C22×D6111yescharacteristic
1294#107C22×D6111yescharacteristic
1295#106—611no—
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299C4⋊C8—611no—
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8C22×D6111yescharacteristic
1308C4⋊C8C22×D6111yescharacteristic
1309#103—611no—
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103—611no—
1323#103—611no—
1324#103—611no—
1325#103C22×D6111yescharacteristic
1326#103C22×D6111yescharacteristic
1327#103C22×D6111yescharacteristic
1328#103C22×D6111yescharacteristic
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102—611no—
1337#102C22×D6111yescharacteristic
1338#102C22×D6111yescharacteristic
1339#102C22×D6111yescharacteristic
1340#102C22×D6111yescharacteristic
1341C22⋊C8—611no—
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8C22×D6111yescharacteristic
1346C22⋊C8C22×D6111yescharacteristic
1347#97—611no—
1348#97—611no—
1349#97—611no—
1350#97C22×D6111yescharacteristic
1351C4×C8—611no—
1352C4×C8C22×D6111yescharacteristic
1353#41—22no—
1354#41—41no—
1355#41—1222no—
1356#41—2441no—
1357#41—2441no—
1358#41—2441no—
1359#41—2441no—
1360#41—2441no—
1361#41—2441no—
1362#41—2441no—
1363#41—2441no—
1364#41—2441no—
1365C2×Q8—21no—
1366C2×Q8—611no—
1367C2×Q8—611no—
1368C2×Q8—611no—
1369C2×Q8—611no—
1370C2×Q8—611no—
1371C2×Q8—1221no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1221no—
1375C2×Q8—1222no—
1376C2×Q8—2441no—
1377C2×Q8—2441no—
1378C2×Q8—2441no—
1379C2×Q8—2441no—
1380C2×Q8—2441no—
1381C2×Q8C23×D6111yescharacteristic
1382C2×Q8C23×D6111yescharacteristic
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—611no—
1386C2×D4—611no—
1387C2×D4—611no—
1388C2×D4—611no—
1389C2×D4—611no—
1390C2×D4—1221no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4—1221no—
1394C2×D4—1221no—
1395C2×D4—1221no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4C23×D6111yescharacteristic
1405C2×D4C23×D6111yescharacteristic
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—611no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4—1221no—
1425C22×C4—1221no—
1426C22×C4C23×D6111yescharacteristic
1427Q16—22no—
1428Q16—1222no—
1429Q16—1222no—
1430Q16—1222no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—22no—
1436SD16—41no—
1437SD16—1222no—
1438SD16—2441no—
1439SD16—2441no—
1440SD16—2441no—
1441SD16—2441no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—41no—
1448D8—2441no—
1449D8—2441no—
1450D8—2441no—
1451M16—2441no—
1452M16—2441no—
1453C2×C8—611no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—611no—
1457C2×C8—2441no—
1458C2×C8—2441no—
1459C2×C8—2441no—
1460C2×C8—2441no—
1461C2×C8C23×D6111yescharacteristic
1462C2×C8C23×D6111yescharacteristic
1463C2×C8C23×D6111yescharacteristic
1464C2×C8C23×D6111yescharacteristic
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—611no—
1472C4⋊C4—611no—
1473C4⋊C4—611no—
1474C4⋊C4—611no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—611no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4—1221no—
1506C4⋊C4D4×D6111yescharacteristic
1507C4⋊C4D4×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C4⋊C4C23×D6111yescharacteristic
1510C4⋊C4C23×D6111yescharacteristic
1511C4⋊C4C23×D6111yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—611no—
1524C22⋊C4—611no—
1525C22⋊C4—611no—
1526C22⋊C4—611no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4—1221no—
1552C22⋊C4D4×D6111yescharacteristic
1553C22⋊C4D4×D6111yescharacteristic
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—611no—
1558C42—611no—
1559C42—611no—
1560C42—611no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42—1221no—
1570C42C23×D6111yescharacteristic
1571C42C23×D6111yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—611no—
1575C23—611no—
1576C23—1221no—
1577C23—1221no—
1578C23C2×D4×D6111yescharacteristic
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—81no—
1583Q8—1221no—
1584Q8—1221no—
1585Q8—1221no—
1586Q8—1221no—
1587Q8—1221no—
1588Q8—1221no—
1589Q8—1221no—
1590Q8—1221no—
1591Q8—4881no—
1592Q8—4881no—
1593Q8—4881no—
1594Q8—2441no—
1595Q8—2442no—
1596Q8#1451982312yes—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—42no—
1602D4—81no—
1603D4—1221no—
1604D4—1221no—
1605D4—1221no—
1606D4—1221no—
1607D4—4881no—
1608D4—4881no—
1609D4—4881no—
1610D4—4881no—
1611D4—4881no—
1612D4—4881no—
1613D4—4881no—
1614D4—4881no—
1615D4—4881no—
1616D4—4881no—
1617D4—4881no—
1618D4—4881no—
1619D4—2441no—
1620D4—2442no—
1621D4—2441no—
1622D4—2441no—
1623D4—2442no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—42no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—81no—
1637C2×C4—611no—
1638C2×C4—611no—
1639C2×C4—611no—
1640C2×C4—611no—
1641C2×C4—611no—
1642C2×C4—611no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—4881no—
1654C2×C4—4881no—
1655C2×C4—4881no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—4881no—
1662C2×C4—2441no—
1663C2×C4—2441no—
1664C2×C4—2442no—
1665C2×C4—2442no—
1666C2×C4C2×D4×D6111yescharacteristic
1667C2×C4C2×D4×D6111yescharacteristic
1668C2×C4C2×D4×D6111yescharacteristic
1669C2×C4C2×D4×D6111yescharacteristic
1670C2×C4C2×D4×D6111yescharacteristic
1671C2×C4C24×D6111yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—1221no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—1221no—
1690C22—1221no—
1691C22—1221no—
1692C22—1221no—
1693C22—1221no—
1694C22—1221no—
1695C22—2441no—
1696C22—2441no—
1697C22—2441no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22C22×D4×D6111yescharacteristic
1702C4—21no—
1703C4—22no—
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—1221no—
1714C4—1221no—
1715C4—1221no—
1716C4—1221no—
1717C4—1221no—
1718C4—1221no—
1719C4—2441no—
1720C4—2441no—
1721C4—2441no—
1722C4—2441no—
1723C4—2441no—
1724C4—2441no—
1725C4C2×#1451982311yescharacteristic
1726C4#1684059811yescharacteristic
1727C2—41no—
1728C2—81no—
1729C2—81no—
1730C2—4881no—
1731C2—4881no—
1732C2—2441no—
1733C2—2441no—
1734C2#2145948011yescharacteristic
1735C2#2146058711yescharacteristic
1736C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3124C2
socleC22×C61C23×D4
hypercenter#3124D61
hypocenterC61#62025
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3124

Complements

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

NH ≅ G/Ntype
1. #21460287C2semidirect
2. #21459920C2semidirect
3. #21458905C2semidirect
4. #21458873C2semidirect
5. #21458620C2semidirect
6. #21458592C2semidirect
7. #21458010C2semidirect
8. #21457988C2semidirect
9. #21457918C2semidirect
10. #21457828C2semidirect
11. #21457749C2semidirect
12. #21457704C2semidirect
13. #21457561C2semidirect
14. #21457542C2semidirect
15. #21457402C2semidirect
16. #21457397C2semidirect
17. #21457387C2semidirect
18. #21457376C2semidirect
19. #21457284C2semidirect
20. #21457237C2semidirect
21. #21457158C2semidirect
22. #21456930C2semidirect
23. #21456877C2semidirect
24. #21456855C2semidirect
25. #21456053C2semidirect
26. #21455984C2semidirect
27. #21455369C2semidirect
28. #21455347C2semidirect
29. #21455273C2semidirect
30. #21454953C2semidirect
31. C61×#3124C2semidirect
883. #3124D61semidirect
1071. C61#62025semidirect

Maximal subgroups

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

subgroupindex
#214602872
#214599202
#214589052
#214588732
#214586202
#214585922
#214580102
#214579882
#214579182
#214578282
#214577492
#214577042
#214575612
#214575422
#214574022
#214573972
#214573872
#214573762
#214572842
#214572372
#214571582
#214569302
#214568772
#214568552
#214560532
#214559842
#214553692
#214553472
#214552732
#214549532
C61×#31242
#6202561