Finite Group Databasebeta

← #30558213

Subgroups — #30558213

Order 15616.

2090 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459665C211yesmaximal, characteristic, complemented
2#21459587C211yesmaximal, characteristic, complemented
3#21458142C211yesmaximal, characteristic, complemented
4#21458141C211yesmaximal, characteristic, complemented
5#21458109C211yesmaximal, characteristic, complemented
6#21458108C211yesmaximal, characteristic, complemented
7#21458077C211yesmaximal, characteristic, complemented
8#21458074C211yesmaximal, characteristic, complemented
9#21458071C211yesmaximal, characteristic, complemented
10#21457767C211yesmaximal, characteristic, complemented
11#21457762C211yesmaximal, characteristic, complemented
12#21457728C211yesmaximal, characteristic, complemented
13#21457721C211yesmaximal, characteristic, complemented
14#21457718C211yesmaximal, characteristic, complemented
15#21457715C211yesmaximal, characteristic, complemented
16#21457682C211yesmaximal, characteristic, complemented
17#21457677C211yesmaximal, characteristic, complemented
18#21456140C211yesmaximal, characteristic, complemented
19#21455811C211yesmaximal, characteristic, complemented
20#21455803C211yesmaximal, characteristic, complemented
21#21455622C211yesmaximal, characteristic, complemented
22#21455496C211yesmaximal, characteristic, complemented
23#21455494C211yesmaximal, characteristic, complemented
24#21455281C211yesmaximal, characteristic, complemented
25#21455102C211yesmaximal, characteristic, complemented
26#21455100C211yesmaximal, characteristic, complemented
27C4×SD16×D61C211yesmaximal, characteristic, complemented
28#21454528C211yesmaximal, characteristic, complemented
29#21454351C211yesmaximal, characteristic, complemented
30#21454350C211yesmaximal, characteristic, complemented
31C61×#3326C211yesmaximal, characteristic, complemented
32C2×#14519825C2211yescharacteristic
33C2×#14519824C2211yescharacteristic
34C2×#14519804C2211yescharacteristic
35C2×#14519801C2211yescharacteristic
36C2×SD16×D61C2211yescharacteristic
37C2×#14519785C2211yescharacteristic
38C2×#14519785C2211yescharacteristic
39#16840496—21no—
40#16840495—21no—
41#16840479—21no—
42#16840476C2211yescharacteristic
43#16840475C2211yescharacteristic
44#16840465C2211yescharacteristic
45#16840462C2211yescharacteristic
46#16840458C2211yescharacteristic
47#16840431C2211yescharacteristic, complemented
48#16840430—21no—
49#16840430—21no—
50#16840430C2211yescharacteristic, complemented
51Q8×C22⋊D61C2211yescharacteristic, complemented
52#16840425—21no—
53#16840425C2211yescharacteristic, complemented
54#16840424C2211yescharacteristic, complemented
55#16840421—21no—
56#16840421C2211yescharacteristic, complemented
57#16840420—21no—
58#16840420C2211yescharacteristic, complemented
59#16840413C2211yescharacteristic
60#16840412C2211yescharacteristic
61#16840351—21no—
62#16840344—21no—
63#16840342—21no—
64#16840342C2211yescharacteristic
65#16840341—21no—
66#16840341C2211yescharacteristic
67#16840328C2211yescharacteristic
68#16840328C2211yescharacteristic
69#16840318C2211yescharacteristic
70#16840311—21no—
71#16840311C2211yescharacteristic
72#16840309—21no—
73#16840309C2211yescharacteristic
74#16840271—21no—
75#16840270—21no—
76#16840243C2211yescharacteristic
77#16840242C2211yescharacteristic
78C4×Q8×D61C2211yescharacteristic
79C4×D4×D61C2211yescharacteristic
80#16840119C2211yescharacteristic, complemented
81#16840117C2211yescharacteristic, complemented
82#16840116C2211yescharacteristic, complemented
83#16840111C2211yescharacteristic, complemented
84#16840111C2211yescharacteristic, complemented
85#16840107C2211yescharacteristic, complemented
86#16840107C2211yescharacteristic, complemented
87#16840105C2211yescharacteristic, complemented
88#16840103C2211yescharacteristic, complemented
89#16840102C2211yescharacteristic, complemented
90#16840100C2211yescharacteristic, complemented
91#16840094C2211yescharacteristic, complemented
92#16840093C2211yescharacteristic, complemented
93#16840091C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic, complemented
95#16840087C2211yescharacteristic, complemented
96#16840085C2211yescharacteristic, complemented
97#16840082C2211yescharacteristic, complemented
98#16840080C2211yescharacteristic, complemented
99#16840079C2211yescharacteristic, complemented
100#16840078C2211yescharacteristic, complemented
101#16840070C2211yescharacteristic, complemented
102#16840069C2211yescharacteristic, complemented
103#16840066C2211yescharacteristic, complemented
104#16840056C2211yescharacteristic, complemented
105#16840055C2211yescharacteristic, complemented
106#16840046C2211yescharacteristic, complemented
107#16840045C2211yescharacteristic, complemented
108#16840015C2211yescharacteristic
109#16840014C2211yescharacteristic
110#16840014C2211yescharacteristic
111#16840011C2211yescharacteristic
112#16840008C2211yescharacteristic
113#16840007C2211yescharacteristic
114#16839999C2211yescharacteristic
115#16839996C2211yescharacteristic
116#16839996C2211yescharacteristic
117#16839995C2211yescharacteristic
118#16839993C2211yescharacteristic
119#16839992C2211yescharacteristic
120#16839989C2211yescharacteristic
121#16839988C2211yescharacteristic
122#16839978C2211yescharacteristic
123#16839977C2211yescharacteristic
124#16839974C2211yescharacteristic
125#16839966C2211yescharacteristic
126#16839965C2211yescharacteristic
127#16839956C2211yescharacteristic
128#16839955C2211yescharacteristic
129#16839910C2211yescharacteristic
130#16839909C2211yescharacteristic
131#16839908C2211yescharacteristic
132#16839907C2211yescharacteristic
133#16839906C2211yescharacteristic
134#16839905C2211yescharacteristic
135#16839904C2211yescharacteristic
136#16839903C2211yescharacteristic
137#16839902C2211yescharacteristic
138#16839902C2211yescharacteristic
139#16839901C2211yescharacteristic
140#16839900C2211yescharacteristic
141#16839899C2211yescharacteristic
142#16839899C2211yescharacteristic
143#16839853C2211yescharacteristic
144C4×#11758190C2211yescharacteristic
145SD16×Dic61C2211yescharacteristic
146C4×#11758201C2211yescharacteristic
147#16839849C2211yescharacteristic
148C4×#11758200C2211yescharacteristic
149#16839847C2211yescharacteristic
150#16839841C2211yescharacteristic, complemented
151#16839838C2211yescharacteristic, complemented
152#16839838C2211yescharacteristic, complemented
153D4×#92418C2211yescharacteristic, complemented
154#16839827C2211yescharacteristic, complemented
155#16839825C2211yescharacteristic, complemented
156#16839825C2211yescharacteristic, complemented
157#16839803C2211yescharacteristic
158#16839801C2211yescharacteristic
159#106×D61C2211yescharacteristic
160#16839784C2211yescharacteristic
161#16839772C2211yescharacteristic, complemented
162#16839769C2211yescharacteristic
163#16839769C2211yescharacteristic
164#16839769C2211yescharacteristic, complemented
165#16839769C2211yescharacteristic, complemented
166#16839764C2211yescharacteristic, complemented
167#16839762C2211yescharacteristic
168#16839762C2211yescharacteristic, complemented
169#16839760C2211yescharacteristic
170#16839760C2211yescharacteristic, complemented
171#16839758C2211yescharacteristic, complemented
172#16839757C2211yescharacteristic
173#16839757C2211yescharacteristic
174#16839757C2211yescharacteristic, complemented
175#16839756C2211yescharacteristic, complemented
176#16839755C2211yescharacteristic
177#16839755C2211yescharacteristic
178#16839755C2211yescharacteristic, complemented
179C2×#14519701C2211yescharacteristic, complemented
180C2×#14519700C2211yescharacteristic, complemented
181#103×D61C2211yescharacteristic
182#103×D61C2211yescharacteristic, complemented
183#103×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic
185#16839727C2211yescharacteristic
186#16839727C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic
188C61×#553C2211yescharacteristic
189C61×#548C2211yescharacteristic, complemented
190C61×#488C2211yescharacteristic, complemented
191C61×#483C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic
195C61×#468C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#448C2211yescharacteristic
199C4×SD16×C61C2211yescharacteristic
200C61×#436C2211yescharacteristic, complemented
201C61×#419C2211yescharacteristic, complemented
202C61×#417C2211yescharacteristic, complemented
203#14519825—24no—
204#14519825—42no—
205#14519824—24no—
206#14519824—42no—
207C2×#11758226—21no—
208C2×#11758226C2311yescharacteristic
209C2×#11758226C2311yescharacteristic
210C2×#11758222—21no—
211C2×#11758222—21no—
212C2×#11758222—21no—
213C2×#11758222—21no—
214C2×#11758222C2311yescharacteristic
215C2×#11758222C2311yescharacteristic
216C2×#11758222C2311yescharacteristic
217C2×#11758224—21no—
218C2×#11758224—21no—
219C2×#11758224—21no—
220C2×#11758224C2311yescharacteristic
221C2×#11758224C2311yescharacteristic
222C22×Dic122—21no—
223C22×Dic122C2311yescharacteristic
224C2×Q8×D61—21no—
225C2×Q8×D61C2311yescharacteristic
226C2×Q8×D61C2311yescharacteristic
227C2×Q8×D61C2311yescharacteristic
228C2×D4×D61C2311yescharacteristic
229C22×C4×D61—21no—
230#14519804—42no—
231#14519801—42no—
232C2×#11758190C2311yescharacteristic
233C2×#11758190C2311yescharacteristic
234C2×#11758200C2311yescharacteristic
235C2×#11758200C2311yescharacteristic
236C2×#11758201C2311yescharacteristic
237C2×#11758201C2311yescharacteristic
238SD16×D61—24no—
239C2×D488C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241C2×#11758199C2311yescharacteristic
242#14519785—42no—
243#14519785—42no—
244C2×#11758189C2311yescharacteristic
245C2×#11758189C2311yescharacteristic
246C2×#11758189C2311yescharacteristic
247C2×#11758189C2311yescharacteristic
248C22×#92418C2311yescharacteristic
249C22×#92418C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic
254#14519776—21no—
255#14519776D411yescharacteristic
256#14519776C2311yescharacteristic
257#14519776C2311yescharacteristic
258#14519775—21no—
259#14519775C2311yescharacteristic
260#14519773—21no—
261#14519773—21no—
262#14519773—21no—
263#14519773—21no—
264#14519773D411yescharacteristic
265#14519773C2311yescharacteristic
266#14519772—21no—
267#14519772—21no—
268#14519770—21no—
269#14519769C2311yescharacteristic
270#14519765—21no—
271#14519765—21no—
272#14519765C2311yescharacteristic
273#14519764—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763D411yescharacteristic
281#14519763D411yescharacteristic
282#14519762—21no—
283#14519762—21no—
284#14519760—21no—
285#14519760—21no—
286#14519759—21no—
287#14519759—21no—
288#14519758—21no—
289#14519757—21no—
290#14519757C2311yescharacteristic
291#14519756—21no—
292#14519756C2311yescharacteristic
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519753—21no—
304#14519753C2311yescharacteristic
305#14519752—21no—
306#14519752—21no—
307#14519752—21no—
308#14519752D411yescharacteristic
309#14519752C2311yescharacteristic
310#14519752C2311yescharacteristic
311#14519752C2311yescharacteristic
312#14519751—21no—
313#14519751C2311yescharacteristic
314#14519751C2311yescharacteristic
315#14519751C2311yescharacteristic
316#14519750—21no—
317#14519750—21no—
318#14519750—21no—
319#14519750—21no—
320#14519750—21no—
321#14519750—21no—
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519750D411yescharacteristic
326#14519750D411yescharacteristic
327#14519749—21no—
328#14519749—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519748—21no—
333#14519748—21no—
334#14519748D411yescharacteristic
335#14519748C2311yescharacteristic
336#14519748C2311yescharacteristic
337#14519748C2311yescharacteristic
338#14519747—21no—
339#14519747—21no—
340#14519745—21no—
341#14519745—21no—
342Q8×Dic61C2311yescharacteristic
343C4×Dic122—21no—
344C4×Dic122—21no—
345C4×Dic122C2311yescharacteristic
346#14519742—21no—
347#14519742—21no—
348#14519742—21no—
349#14519742—21no—
350#14519742C2311yescharacteristic
351C4×D244—21no—
352C4×D244—21no—
353C4×D244C2311yescharacteristic
354C4×D244C2311yescharacteristic
355D4×Dic61C2311yescharacteristic
356#14519739—21no—
357#14519739—21no—
358#14519739C2311yescharacteristic
359C4×C22⋊D61—21no—
360C4×C22⋊D61—21no—
361C4×C22⋊D61—21no—
362C4×C22⋊D61—21no—
363C4×C22⋊D61—21no—
364C4×C22⋊D61—21no—
365C4×C22⋊D61C2311yescharacteristic
366C4×C22⋊D61C2311yescharacteristic
367#14519737—21no—
368#14519737—21no—
369#14519737—21no—
370#14519737—21no—
371#14519737—21no—
372#14519737—21no—
373#14519737—21no—
374#14519737—21no—
375#14519737—21no—
376#14519737—21no—
377#14519736C2311yescharacteristic
378#14519735C2311yescharacteristic
379#14519735C2311yescharacteristic
380#14519735C2311yescharacteristic
381#14519735C2311yescharacteristic
382#14519734—21no—
383#14519733—21no—
384C2×C4⋊Dic61C2311yescharacteristic
385C4⋊C4×D61—21no—
386C4⋊C4×D61C2311yescharacteristic
387C4⋊C4×D61C2311yescharacteristic
388C4⋊C4×D61C2311yescharacteristic
389C4⋊C4×D61C2311yescharacteristic
390C22⋊C4×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519709C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441C4×#92418C2311yescharacteristic
442C8×Dic61C2311yescharacteristic
443C8×Dic61C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C22×Q8×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×D8×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C2×M16×C61C2311yescharacteristic
451#126×C61—21no—
452#125×C61C2311yescharacteristic
453#124×C61—21no—
454#124×C61C2311yescharacteristic
455#123×C61—21no—
456C22⋊Q8×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458#121×C61—21no—
459#121×C61—21no—
460#121×C61C2311yescharacteristic
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61—21no—
465C4×D4×C61—21no—
466C4×D4×C61C2311yescharacteristic
467C4×D4×C61C2311yescharacteristic
468#117×C61C2311yescharacteristic
469C2×C4⋊C4×C61C2311yescharacteristic
470#107×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486C4×C8×C61C2311yescharacteristic
487C23×D61—21no—
488#41×C61—22no—
489#41×C61—41no—
490C2×Q8×C61—21no—
491C2×Q8×C61—22no—
492C2×Q8×C61—41no—
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61C2×D411yescharacteristic
500C2×D4×C61C2411yescharacteristic
501C2×D4×C61C2411yescharacteristic
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61C2411yescharacteristic
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—21no—
520C2×C22⋊D61C2×D411yescharacteristic
521C2×C22⋊D61C2×D411yescharacteristic
522C2×C22⋊D61C2×D411yescharacteristic
523C2×C22⋊D61C2×D411yescharacteristic
524C2×C22⋊D61C2×D411yescharacteristic
525C2×C22⋊D61C2×D411yescharacteristic
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61—21no—
530C22×Dic61—21no—
531#11758226—22no—
532#11758226—22no—
533#11758226—22no—
534#11758226—41no—
535#11758226—44no—
536Q8×D61—22no—
537Q8×D61—22no—
538Q8×D61—22no—
539Q8×D61—44no—
540Q8×D61—41no—
541Q8×D61—41no—
542Q8×D61#4114yescomplemented
543#11758224—22no—
544#11758224—22no—
545#11758224—22no—
546#11758224—41no—
547#11758224—44no—
548#11758224—44no—
549#11758224—82no—
550D4×D61—22no—
551D4×D61—22no—
552#11758222—22no—
553#11758222—22no—
554#11758222—22no—
555#11758222—22no—
556#11758222—22no—
557#11758222—41no—
558#11758222—44no—
559#11758222—44no—
560#11758222—44no—
561#11758222—82no—
562C2×D244—21no—
563C2×D244—21no—
564C2×D244—21no—
565C2×D244—21no—
566C2×D244—21no—
567C2×D244C2×D411yescharacteristic
568C2×D244C2×D411yescharacteristic
569C2×D244C2×D411yescharacteristic
570C2×D244C2411yescharacteristic
571C2×D244C2411yescharacteristic
572C2×C4×D61—21no—
573C2×C4×D61—21no—
574C2×C4×D61—21no—
575C2×C4×D61—21no—
576C2×C4×D61—21no—
577C2×C4×D61—21no—
578C2×C4×D61—21no—
579C2×C4×D61—21no—
580C2×C4×D61—21no—
581C2×C4×D61—21no—
582C2×C4×D61—21no—
583C2×C4×D61—21no—
584C2×C4×D61—82no—
585C2×C4×D61C2×D411yescharacteristic
586C2×C4×D61C2×D411yescharacteristic
587C2×C4×D61C2411yescharacteristic
588C2×C4×D61C2411yescharacteristic
589C2×C4×D61C2411yescharacteristic
590C2×Dic122—21no—
591C2×Dic122—22no—
592C2×Dic122—21no—
593C2×Dic122—21no—
594C2×Dic122—21no—
595C2×Dic122—21no—
596C2×Dic122—21no—
597C2×Dic122—41no—
598C2×Dic122—44no—
599C2×Dic122C2×D411yescharacteristic
600C2×Dic122C2×D411yescharacteristic
601C2×Dic122C2411yescharacteristic
602C2×Dic122C2411yescharacteristic
603SD16×C61—22no—
604SD16×C61—41no—
605D8×C61—41no—
606M16×C61—41no—
607M16×C61—41no—
608C2×C8×C61C2411yescharacteristic
609C2×C8×C61C2411yescharacteristic
610C2×C8×C61C2411yescharacteristic
611C2×C8×C61C2411yescharacteristic
612C4⋊C4×C61—21no—
613C4⋊C4×C61—21no—
614C4⋊C4×C61—21no—
615C4⋊C4×C61—21no—
616C4⋊C4×C61—21no—
617C4⋊C4×C61C2×D411yescharacteristic
618C4⋊C4×C61C2411yescharacteristic
619C4⋊C4×C61C2411yescharacteristic
620C4⋊C4×C61C2411yescharacteristic
621C4⋊C4×C61C2411yescharacteristic
622C22⋊C4×C61—21no—
623C22⋊C4×C61—21no—
624C22⋊C4×C61—21no—
625C22⋊C4×C61—21no—
626C22⋊C4×C61—21no—
627C22⋊C4×C61—21no—
628C22⋊C4×C61—21no—
629C22⋊C4×C61—21no—
630C22⋊C4×C61C2×D411yescharacteristic
631C22⋊C4×C61C2×D411yescharacteristic
632C42×C61—21no—
633C42×C61—21no—
634C42×C61C2411yescharacteristic
635C22⋊Dic61—21no—
636C22⋊Dic61—21no—
637C22⋊Dic61—21no—
638C22⋊Dic61—21no—
639C22⋊Dic61—21no—
640C22⋊Dic61—21no—
641C22⋊Dic61C2×D411yescharacteristic
642C22⋊Dic61C2×D411yescharacteristic
643#11758201—22no—
644#11758201—41no—
645#11758200—22no—
646#11758200—41no—
647#11758199—41no—
648#11758199—41no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198—21no—
663#11758198—21no—
664#11758198—21no—
665#11758198C2×D411yescharacteristic
666#11758198C2×D411yescharacteristic
667#11758198C2×D411yescharacteristic
668#11758198C2×D411yescharacteristic
669C4⋊Dic61—21no—
670C4⋊Dic61—21no—
671C4⋊Dic61—21no—
672C4⋊Dic61C2×D411yescharacteristic
673C4⋊Dic61C2411yescharacteristic
674C4⋊Dic61C2411yescharacteristic
675C4⋊Dic61C2411yescharacteristic
676C4⋊Dic61C2411yescharacteristic
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196C2×D411yescharacteristic
692#11758196C2×D411yescharacteristic
693C4×Dic61—21no—
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61C2×D411yescharacteristic
702C4×Dic61C2×D411yescharacteristic
703C4×Dic61C2411yescharacteristic
704C2×#92418—41no—
705C2×#92418—41no—
706C2×#92418C2411yescharacteristic
707C2×#92418C2411yescharacteristic
708C2×#92418C2411yescharacteristic
709C2×#92418C2411yescharacteristic
710D488—41no—
711#11758190—22no—
712#11758190—41no—
713#11758189—22no—
714#11758189—22no—
715#11758189—41no—
716#11758189—41no—
717C8×D61—22no—
718C8×D61—22no—
719C8×D61—41no—
720C8×D61—41no—
721C23×C61—21no—
722C23×C61—21no—
723C23×C61C22×D411yescharacteristic
724C23×C61C22×D411yescharacteristic
725C22×D61—21no—
726C22×D61—21no—
727C22×D61—42no—
728C22×D61—81no—
729C22×D61—81no—
730C22×D61C22×D411yescharacteristic
731C22×D61C22×D411yescharacteristic
732C22×D61C22×D411yescharacteristic
733Q8×C61—21no—
734Q8×C61—21no—
735Q8×C61—21no—
736Q8×C61—42no—
737Q8×C61C2×#4112yes—
738D4×C61—21no—
739D4×C61—21no—
740D4×C61—21no—
741D4×C61—21no—
742D4×C61—41no—
743D4×C61—42no—
744D4×C61—81no—
745D4×C61—81no—
746D4×C61—81no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—42no—
758C2×C4×C61—42no—
759C2×C4×C61—81no—
760C2×C4×C61—81no—
761C2×C4×C61C22×D411yescharacteristic
762C2×C4×C61C22×D411yescharacteristic
763C2×C4×C61C22×D411yescharacteristic
764C2×C4×C61C22×D411yescharacteristic
765C2×C4×C61C2511yescharacteristic
766C22⋊D61—22no—
767C22⋊D61—22no—
768C22⋊D61—22no—
769C22⋊D61—22no—
770C22⋊D61—22no—
771C22⋊D61—22no—
772C22⋊D61—42no—
773C22⋊D61—42no—
774C22⋊D61—42no—
775C22⋊D61—42no—
776C22⋊D61—42no—
777C22⋊D61—81no—
778C22⋊D61—81no—
779C22⋊D61—81no—
780C22⋊D61—81no—
781C22⋊D61—81no—
782C22⋊D61—81no—
783C22⋊D61—81no—
784C2×Dic61—21no—
785C2×Dic61—21no—
786C2×Dic61—21no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—42no—
791C2×Dic61—42no—
792C2×Dic61—42no—
793C2×Dic61—42no—
794C2×Dic61—81no—
795C2×Dic61C22×D411yescharacteristic
796C2×Dic61C22×D411yescharacteristic
797C2×Dic61C22×D411yescharacteristic
798C2×Dic61C22×D411yescharacteristic
799C2×Dic61C22×D411yescharacteristic
800D244—22no—
801D244—22no—
802D244—21no—
803D244—21no—
804D244—21no—
805D244—21no—
806D244—41no—
807D244—42no—
808D244—42no—
809D244—81no—
810D244—81no—
811D244—81no—
812C4×D61—24no—
813C4×D61—21no—
814C4×D61—21no—
815C4×D61—21no—
816C4×D61—21no—
817C4×D61—22no—
818C4×D61—41no—
819C4×D61—42no—
820C4×D61—42no—
821C4×D61—42no—
822C4×D61—42no—
823C4×D61—42no—
824C4×D61—42no—
825C4×D61—81no—
826C4×D61—81no—
827C4×D61—81no—
828C4×D61—81no—
829C4×D61—81no—
830C4×D61C2×#4112yes—
831C4×D61H(5,𝔽2)12yes—
832Dic122—21no—
833Dic122—24no—
834Dic122—22no—
835Dic122—22no—
836Dic122—21no—
837Dic122—21no—
838Dic122—42no—
839Dic122—42no—
840Dic122—42no—
841Dic122—42no—
842Dic122—81no—
843Dic122C2×#4112yes—
844C8×C61—21no—
845C8×C61—21no—
846C8×C61—21no—
847C8×C61—21no—
848#92418—21no—
849#92418—21no—
850#92418—21no—
851#92418—21no—
852#61213—611nomaximal, Sylow
853C22×C61—21no—
854C22×C61—21no—
855C22×C61—21no—
856C22×C61—21no—
857C22×C61—21no—
858C22×C61—21no—
859C22×C61—41no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61—41no—
865C22×C61C23×D411yescharacteristic
866C2×D61—21no—
867C2×D61—21no—
868C2×D61—21no—
869C2×D61—21no—
870C2×D61—21no—
871C2×D61—21no—
872C2×D61—21no—
873C2×D61—21no—
874C2×D61—41no—
875C2×D61—41no—
876C2×D61—41no—
877C2×D61—41no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—84no—
881C2×D61#54612yes—
882C4×C61—21no—
883C4×C61—21no—
884C4×C61—22no—
885C4×C61—21no—
886C4×C61—21no—
887C4×C61—41no—
888C4×C61—41no—
889C4×C61—41no—
890C4×C61—41no—
891C4×C61—41no—
892C4×C61C22×#4111yescharacteristic
893C4×C61C2×H(5,𝔽2)11yescharacteristic
894Dic61—21no—
895Dic61—22no—
896Dic61—21no—
897Dic61—21no—
898Dic61—41no—
899Dic61—41no—
900Dic61—41no—
901Dic61—41no—
902Dic61—41no—
903Dic61#54612yes—
904Dic61#57712yes—
905#3506—611no—
906#3497—611no—
907#3332—611no—
908#3332—611no—
909#3329—611no—
910#3329—611no—
911#3326—611no—
912#3326—611no—
913#3326—611no—
914#3326D6111yescharacteristic, complemented
915#3305—611no—
916#3305—611no—
917#3301—611no—
918#3301—611no—
919#3301—611no—
920#3301—611no—
921#3298—611no—
922#3298—611no—
923#3131—611no—
924#3099—611no—
925#3099—611no—
926#3078—611no—
927#3062—611no—
928#3062—611no—
929#3036—611no—
930#3010—611no—
931#3010—611no—
932C2×C4×SD16—611no—
933#2931—611no—
934#2898—611no—
935#2898—611no—
936C2×C61—41no—
937C2×C61—41no—
938C2×C61—81no—
939C2×C61—81no—
940C2×C61C2×#54611yescharacteristic
941C2×C61C2×#57711yescharacteristic
942C2×C61#358411yescharacteristic
943D61—22no—
944D61—41no—
945D61—41no—
946D61—81no—
947D61—81no—
948C2×2−1+4—611no—
949C2×2−1+4—611no—
950C2×AGL(1,ℤ/8)—611no—
951C2×AGL(1,ℤ/8)—611no—
952C22×SD16—611no—
953C2×#131—611no—
954C2×#131—611no—
955#559—1221no—
956#559—1221no—
957#556—1221no—
958#555—611no—
959#555—611no—
960#553—611no—
961#553—611no—
962#553—611no—
963#553C2×D6111yescharacteristic
964#550—611no—
965#550—611no—
966#550—1221no—
967#550—1221no—
968D4×Q8—611no—
969D4×Q8—611no—
970D4×Q8—1221no—
971#548—611no—
972#548—611no—
973#548—611no—
974#548—1221no—
975#548—1221no—
976#548C2×D6111yescharacteristic, complemented
977#547—611no—
978#547—611no—
979#538—1221no—
980#538—1221no—
981#537—611no—
982#537—611no—
983#537—1221no—
984#537—1221no—
985#535—611no—
986#535—611no—
987#533—611no—
988#532—611no—
989#532—611no—
990#532—1221no—
991#532—1221no—
992#525—1221no—
993#525—1221no—
994#520—611no—
995#520—611no—
996C2×C4×Q8—611no—
997C2×C4×D4—611no—
998#488—611no—
999#488—611no—
1000#488—611no—
1001#488C2×D6111yescharacteristic, complemented
1002#487—611no—
1003#487—611no—
1004#486—611no—
1005#486—611no—
1006#485—611no—
1007#485—611no—
1008#485—611no—
1009#485—611no—
1010#483—611no—
1011#483—611no—
1012#483—611no—
1013#483C2×D6111yescharacteristic, complemented
1014#482—611no—
1015#482—611no—
1016#482—611no—
1017#482C2×D6111yescharacteristic, complemented
1018#481—611no—
1019#481—611no—
1020#481—611no—
1021#481—611no—
1022#479—611no—
1023#479—611no—
1024#479—611no—
1025#479C2×D6111yescharacteristic, complemented
1026#477—611no—
1027#477—611no—
1028#475—611no—
1029#475—611no—
1030#469—611no—
1031#469—611no—
1032#469—611no—
1033#469C2×D6111yescharacteristic
1034#468—611no—
1035#468—611no—
1036#468—611no—
1037#468C2×D6111yescharacteristic
1038#466—611no—
1039#466—611no—
1040#466—611no—
1041#466—611no—
1042#465—611no—
1043#465—611no—
1044#465—611no—
1045#465—611no—
1046#463—611no—
1047#463—611no—
1048#463—611no—
1049#463C2×D6111yescharacteristic
1050#461—611no—
1051#461—611no—
1052#459—611no—
1053#459—611no—
1054#449—611no—
1055#449—611no—
1056#449—611no—
1057#449—611no—
1058#449—611no—
1059#449—611no—
1060#449—611no—
1061#449C2×D6111yescharacteristic
1062#448—611no—
1063#448—611no—
1064#448—611no—
1065#448—611no—
1066#448—611no—
1067#448—611no—
1068#448—611no—
1069#448C2×D6111yescharacteristic
1070C4×SD16—611no—
1071C4×SD16—611no—
1072C4×SD16—611no—
1073C4×SD16—611no—
1074C4×SD16—611no—
1075C4×SD16—611no—
1076C4×SD16—611no—
1077C4×SD16C2×D6111yescharacteristic
1078#436—611no—
1079#436—611no—
1080#436—611no—
1081#436C2×D6111yescharacteristic, complemented
1082C8×D4—611no—
1083C8×D4—611no—
1084C8×D4—611no—
1085C8×D4—611no—
1086#428—611no—
1087#428—611no—
1088C2×#106—611no—
1089#423—611no—
1090#419—611no—
1091#419—611no—
1092#419—611no—
1093#419—611no—
1094#419—611no—
1095#419C2×D6111yescharacteristic, complemented
1096#417—611no—
1097#417—611no—
1098#417—611no—
1099#417—611no—
1100#417—611no—
1101#417C2×D6111yescharacteristic, complemented
1102#416—611no—
1103#416—611no—
1104#416—611no—
1105#416—611no—
1106#416—611no—
1107#416—611no—
1108#416—611no—
1109#416—611no—
1110C2×#103—611no—
1111C2×#103—611no—
1112C2×#103—611no—
1113C2×#103—611no—
1114C2×#103—611no—
1115C2×#102—611no—
1116#408—611no—
1117#408—611no—
1118C2×C4×C8—611no—
1119C61#6121311yescharacteristic, complemented, Sylow
11202−1+4—1224no—
11212−1+4—1224no—
11222−1+4—2442no—
11232−1+4—2442no—
1124C2×#41—611no—
1125C2×#41—611no—
1126C2×#41—611no—
1127C2×#41—611no—
1128C2×#41—611no—
1129C2×#41—611no—
1130C2×#41—611no—
1131C2×#41—1221no—
1132C2×#41—1221no—
1133C2×#41—1221no—
1134C2×#41—1221no—
1135C2×#41—1221no—
1136C2×#41—1221no—
1137C2×#41—1221no—
1138C2×#41—1221no—
1139C2×#41C22×D6111yescharacteristic
1140C22×Q8—611no—
1141C22×Q8—611no—
1142C22×Q8—611no—
1143C22×Q8—611no—
1144C22×Q8—1221no—
1145C22×Q8—1221no—
1146C22×Q8C22×D6111yescharacteristic
1147C22×D4—611no—
1148C23×C4—1221no—
1149AGL(1,ℤ/8)—2442no—
1150AGL(1,ℤ/8)—2442no—
1151C2×SD16—611no—
1152C2×SD16—611no—
1153C2×SD16—611no—
1154C2×SD16—611no—
1155C2×SD16—611no—
1156C2×SD16—611no—
1157C2×SD16—1224no—
1158C2×SD16C22×D6111yescharacteristic
1159C2×SD16C22×D6111yescharacteristic
1160C2×D8—611no—
1161C2×D8—611no—
1162C2×D8—611no—
1163C2×D8C22×D6111yescharacteristic
1164#131—2442no—
1165#131—2442no—
1166C2×M16—611no—
1167C2×M16—611no—
1168C2×M16—611no—
1169C2×M16—611no—
1170C2×M16C22×D6111yescharacteristic
1171C2×M16C22×D6111yescharacteristic
1172C22×C8—611no—
1173C22×C8—611no—
1174C22×C8—611no—
1175C22×C8—611no—
1176C22×C8—611no—
1177C22×C8—611no—
1178C4⋊Q8—611no—
1179C4⋊Q8—611no—
1180C4⋊Q8—611no—
1181C4⋊Q8—611no—
1182C4⋊Q8—1221no—
1183C4⋊Q8—1221no—
1184#127—611no—
1185#127—611no—
1186#127—1221no—
1187#127—1221no—
1188#127—1221no—
1189#127—1221no—
1190#126—21no—
1191#126—1221no—
1192#126—1221no—
1193#126—1221no—
1194#125—611no—
1195#125C22×D6111yescharacteristic
1196#124—21no—
1197#124—611no—
1198#124—611no—
1199#124—611no—
1200#124—1221no—
1201#124—1221no—
1202#124—1221no—
1203#124—1221no—
1204#124—1221no—
1205#124—1221no—
1206#124—1221no—
1207#124—1221no—
1208#124—1221no—
1209#124C22×D6111yescharacteristic
1210#123—21no—
1211#123—1221no—
1212#123—1221no—
1213#123—1221no—
1214#123—1221no—
1215#123—1221no—
1216#123—1221no—
1217#123—1221no—
1218C22⋊Q8—21no—
1219C22⋊Q8—611no—
1220C22⋊Q8—611no—
1221C22⋊Q8—611no—
1222C22⋊Q8—1221no—
1223C22⋊Q8—1221no—
1224C22⋊Q8—1221no—
1225C22⋊Q8—1221no—
1226C22⋊Q8—1221no—
1227C22⋊Q8—1221no—
1228C22⋊Q8—1221no—
1229C22⋊Q8—1221no—
1230C22⋊Q8—1221no—
1231C22⋊Q8—1221no—
1232C22⋊Q8—1221no—
1233C22⋊Q8—1221no—
1234C22⋊Q8—1221no—
1235C22⋊Q8C22×D6111yescharacteristic
1236#121—21no—
1237#121—21no—
1238#121—611no—
1239#121—611no—
1240#121—611no—
1241#121—611no—
1242#121—611no—
1243#121—611no—
1244#121—611no—
1245#121—611no—
1246#121—611no—
1247#121—611no—
1248#121—611no—
1249#121—611no—
1250#121—611no—
1251#121—1221no—
1252#121—1221no—
1253#121—1221no—
1254#121—1221no—
1255#121—1221no—
1256#121—1221no—
1257#121—1221no—
1258#121—1221no—
1259#121—1221no—
1260#121—1221no—
1261#121—1221no—
1262#121—1221no—
1263#121—1221no—
1264#121—1221no—
1265#121—1221no—
1266#121—1221no—
1267#121—1221no—
1268#121—1221no—
1269#121—1221no—
1270#121—1221no—
1271#121C22×D6111yescharacteristic
1272#121C22×D6111yescharacteristic
1273#121C22×D6111yescharacteristic
1274#120—1221no—
1275#120—1221no—
1276#120—1221no—
1277#120—1221no—
1278C4×Q8—611no—
1279C4×Q8—611no—
1280C4×Q8—611no—
1281C4×Q8—1221no—
1282C4×Q8—1221no—
1283C4×Q8—1221no—
1284C4×Q8—1221no—
1285C4×Q8—1221no—
1286C4×Q8—1221no—
1287C4×Q8C22×D6111yescharacteristic
1288C4×D4—21no—
1289C4×D4—21no—
1290C4×D4—611no—
1291C4×D4—611no—
1292C4×D4—611no—
1293C4×D4—611no—
1294C4×D4—611no—
1295C4×D4—611no—
1296C4×D4—1221no—
1297C4×D4—1221no—
1298C4×D4—1221no—
1299C4×D4—1221no—
1300C4×D4—1221no—
1301C4×D4—1221no—
1302C4×D4—1221no—
1303C4×D4—1221no—
1304C4×D4—1221no—
1305C4×D4—1221no—
1306C4×D4—1221no—
1307C4×D4—1221no—
1308C4×D4—1221no—
1309C4×D4—1221no—
1310C4×D4—1221no—
1311C4×D4—1221no—
1312C4×D4—1221no—
1313C4×D4—1221no—
1314C4×D4—1221no—
1315C4×D4—1221no—
1316C4×D4C22×D6111yescharacteristic
1317C4×D4C22×D6111yescharacteristic
1318#117—611no—
1319#117—611no—
1320#117—611no—
1321#117—611no—
1322#117—611no—
1323#117—1221no—
1324#117—1221no—
1325#117C22×D6111yescharacteristic
1326C2×C4⋊C4—611no—
1327C2×C4⋊C4—611no—
1328C2×C4⋊C4—611no—
1329C2×C4⋊C4—611no—
1330C2×C4⋊C4—611no—
1331C2×C4⋊C4—1221no—
1332C2×C4⋊C4C22×D6111yescharacteristic
1333C2×C22⋊C4—1221no—
1334C2×C42—611no—
1335C2×C42—1221no—
1336#107—611no—
1337#107—611no—
1338#107—611no—
1339#107C22×D6111yescharacteristic
1340#106—611no—
1341#106—611no—
1342#106—611no—
1343#106—611no—
1344#106—611no—
1345#106—611no—
1346#106C22×D6111yescharacteristic
1347#106C22×D6111yescharacteristic
1348C4⋊C8—611no—
1349C4⋊C8—611no—
1350C4⋊C8—611no—
1351C4⋊C8C22×D6111yescharacteristic
1352#103—611no—
1353#103—611no—
1354#103—611no—
1355#103—611no—
1356#103—611no—
1357#103—611no—
1358#103—611no—
1359#103—611no—
1360#103—611no—
1361#103—611no—
1362#103—611no—
1363#103—611no—
1364#103—611no—
1365#103—611no—
1366#103—611no—
1367#103—611no—
1368#103—611no—
1369#103—611no—
1370#103C22×D6111yescharacteristic
1371#103C22×D6111yescharacteristic
1372#103C22×D6111yescharacteristic
1373#103C22×D6111yescharacteristic
1374#103C22×D6111yescharacteristic
1375#103C22×D6111yescharacteristic
1376#102—611no—
1377#102—611no—
1378#102—611no—
1379#102—611no—
1380#102—611no—
1381#102—611no—
1382#102—611no—
1383#102—611no—
1384#102—611no—
1385#102—611no—
1386#102—611no—
1387#102—611no—
1388#102C22×D6111yescharacteristic
1389#102C22×D6111yescharacteristic
1390#102C22×D6111yescharacteristic
1391#102C22×D6111yescharacteristic
1392C22⋊C8—611no—
1393C22⋊C8—611no—
1394C22⋊C8—611no—
1395C22⋊C8—611no—
1396C22⋊C8—611no—
1397C22⋊C8—611no—
1398C22⋊C8C22×D6111yescharacteristic
1399C22⋊C8C22×D6111yescharacteristic
1400C4×C8—611no—
1401C4×C8—611no—
1402C4×C8—611no—
1403C4×C8C22×D6111yescharacteristic
1404C24—1221no—
1405#41—22no—
1406#41—41no—
1407#41—1222no—
1408#41—1222no—
1409#41—1222no—
1410#41—1222no—
1411#41—1222no—
1412#41—1222no—
1413#41—1222no—
1414#41—1222no—
1415#41—1222no—
1416#41—1222no—
1417#41—1222no—
1418#41—4882no—
1419#41—4882no—
1420#41—2441no—
1421#41—2444no—
1422#41—2444no—
1423#41—2444no—
1424#41—2441no—
1425#41—2444no—
1426#41—2441no—
1427#41—2444no—
1428#41—2444no—
1429C2×Q8—21no—
1430C2×Q8—22no—
1431C2×Q8—41no—
1432C2×Q8—611no—
1433C2×Q8—611no—
1434C2×Q8—614no—
1435C2×Q8—611no—
1436C2×Q8—611no—
1437C2×Q8—1221no—
1438C2×Q8—1221no—
1439C2×Q8—1221no—
1440C2×Q8—1221no—
1441C2×Q8—1221no—
1442C2×Q8—1222no—
1443C2×Q8—1222no—
1444C2×Q8—1221no—
1445C2×Q8—1222no—
1446C2×Q8—1222no—
1447C2×Q8—2441no—
1448C2×Q8—2444no—
1449C2×Q8—2441no—
1450C2×Q8—2441no—
1451C2×Q8—2444no—
1452C2×Q8C23×D6111yescharacteristic
1453C2×Q8C23×D6111yescharacteristic
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—611no—
1459C2×D4—611no—
1460C2×D4—611no—
1461C2×D4—611no—
1462C2×D4—611no—
1463C2×D4—611no—
1464C2×D4—611no—
1465C2×D4—611no—
1466C2×D4—611no—
1467C2×D4—611no—
1468C2×D4—611no—
1469C2×D4—1221no—
1470C2×D4—1221no—
1471C2×D4—1221no—
1472C2×D4—1221no—
1473C2×D4—1221no—
1474C2×D4—1222no—
1475C2×D4—1222no—
1476C2×D4—1221no—
1477C2×D4—1221no—
1478C2×D4—1221no—
1479C2×D4—1221no—
1480C2×D4—1221no—
1481C2×D4—1221no—
1482C2×D4—1221no—
1483C2×D4—1221no—
1484C2×D4—1221no—
1485C2×D4—1221no—
1486C2×D4—1221no—
1487C2×D4—1221no—
1488C2×D4D4×D6111yescharacteristic
1489C2×D4C23×D6111yescharacteristic
1490C2×D4C23×D6111yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—611no—
1496C22×C4—611no—
1497C22×C4—611no—
1498C22×C4—611no—
1499C22×C4—611no—
1500C22×C4—1221no—
1501C22×C4—1221no—
1502C22×C4—1221no—
1503C22×C4—1221no—
1504C22×C4—1221no—
1505C22×C4—1221no—
1506C22×C4—1221no—
1507C22×C4—1221no—
1508C22×C4—1221no—
1509C22×C4—1221no—
1510C22×C4—1221no—
1511C22×C4—1221no—
1512C22×C4—1221no—
1513C22×C4—1221no—
1514C22×C4—1221no—
1515C22×C4—1221no—
1516C22×C4—1221no—
1517C22×C4—4882no—
1518C22×C4C23×D6111yescharacteristic
1519C22×C4C23×D6111yescharacteristic
1520SD16—22no—
1521SD16—41no—
1522SD16—1222no—
1523SD16—1222no—
1524SD16—1222no—
1525SD16—2441no—
1526SD16—2441no—
1527SD16—2441no—
1528D8—41no—
1529D8—2441no—
1530D8—2441no—
1531D8—2441no—
1532M16—41no—
1533M16—41no—
1534M16—1222no—
1535M16—1222no—
1536M16—2441no—
1537M16—2441no—
1538C2×C8—611no—
1539C2×C8—611no—
1540C2×C8—611no—
1541C2×C8—611no—
1542C2×C8—1222no—
1543C2×C8—1222no—
1544C2×C8—2441no—
1545C2×C8—2441no—
1546C2×C8—2441no—
1547C2×C8—2441no—
1548C2×C8C23×D6111yescharacteristic
1549C2×C8C23×D6111yescharacteristic
1550C2×C8C23×D6111yescharacteristic
1551C2×C8C23×D6111yescharacteristic
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—611no—
1558C4⋊C4—611no—
1559C4⋊C4—611no—
1560C4⋊C4—611no—
1561C4⋊C4—611no—
1562C4⋊C4—611no—
1563C4⋊C4—611no—
1564C4⋊C4—1221no—
1565C4⋊C4—1221no—
1566C4⋊C4—1221no—
1567C4⋊C4—1221no—
1568C4⋊C4—1221no—
1569C4⋊C4—1221no—
1570C4⋊C4—1221no—
1571C4⋊C4—1221no—
1572C4⋊C4—1221no—
1573C4⋊C4—1221no—
1574C4⋊C4—1221no—
1575C4⋊C4—1221no—
1576C4⋊C4—1221no—
1577C4⋊C4—1221no—
1578C4⋊C4—1221no—
1579C4⋊C4—1221no—
1580C4⋊C4—1221no—
1581C4⋊C4D4×D6111yescharacteristic
1582C4⋊C4C23×D6111yescharacteristic
1583C4⋊C4C23×D6111yescharacteristic
1584C4⋊C4C23×D6111yescharacteristic
1585C4⋊C4C23×D6111yescharacteristic
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—611no—
1595C22⋊C4—611no—
1596C22⋊C4—611no—
1597C22⋊C4—611no—
1598C22⋊C4—611no—
1599C22⋊C4—611no—
1600C22⋊C4—1221no—
1601C22⋊C4—1221no—
1602C22⋊C4—1221no—
1603C22⋊C4—1221no—
1604C22⋊C4—1221no—
1605C22⋊C4—1221no—
1606C22⋊C4—1221no—
1607C22⋊C4—1221no—
1608C22⋊C4—1221no—
1609C22⋊C4—1221no—
1610C22⋊C4—1221no—
1611C22⋊C4—1221no—
1612C22⋊C4—1221no—
1613C22⋊C4—1221no—
1614C22⋊C4—1221no—
1615C22⋊C4—1221no—
1616C22⋊C4—1221no—
1617C22⋊C4—1221no—
1618C22⋊C4—1221no—
1619C22⋊C4—1221no—
1620C22⋊C4—1221no—
1621C22⋊C4—1221no—
1622C22⋊C4D4×D6111yescharacteristic
1623C22⋊C4D4×D6111yescharacteristic
1624C42—21no—
1625C42—21no—
1626C42—611no—
1627C42—611no—
1628C42—611no—
1629C42—1221no—
1630C42—1221no—
1631C42—1221no—
1632C42—1221no—
1633C42—1221no—
1634C42—1221no—
1635C42—1221no—
1636C42—1221no—
1637C42C23×D6111yescharacteristic
1638C23—21no—
1639C23—21no—
1640C23—611no—
1641C23—611no—
1642C23—611no—
1643C23—1221no—
1644C23—1221no—
1645C23—4881no—
1646C23—4881no—
1647C23—2442no—
1648C23C2×D4×D6111yescharacteristic
1649C23C2×D4×D6111yescharacteristic
1650Q8—21no—
1651Q8—21no—
1652Q8—21no—
1653Q8—42no—
1654Q8—612no—
1655Q8—1224no—
1656Q8—1222no—
1657Q8—1222no—
1658Q8—1221no—
1659Q8—1221no—
1660Q8—1221no—
1661Q8—4881no—
1662Q8—2442no—
1663Q8—2442no—
1664Q8—2442no—
1665Q8—2442no—
1666Q8#41×D6112yes—
1667D4—21no—
1668D4—21no—
1669D4—21no—
1670D4—21no—
1671D4—41no—
1672D4—42no—
1673D4—81no—
1674D4—81no—
1675D4—81no—
1676D4—1222no—
1677D4—1222no—
1678D4—1222no—
1679D4—1222no—
1680D4—1222no—
1681D4—1222no—
1682D4—1222no—
1683D4—1222no—
1684D4—1221no—
1685D4—1221no—
1686D4—1221no—
1687D4—1221no—
1688D4—4881no—
1689D4—4881no—
1690D4—4881no—
1691D4—4881no—
1692D4—4881no—
1693D4—4881no—
1694D4—4881no—
1695D4—4881no—
1696D4—4881no—
1697D4—4881no—
1698D4—2441no—
1699D4—2442no—
1700D4—2442no—
1701D4—2442no—
1702D4—2442no—
1703D4—2442no—
1704D4—2442no—
1705D4—2442no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—81no—
1719C2×C4—81no—
1720C2×C4—611no—
1721C2×C4—611no—
1722C2×C4—612no—
1723C2×C4—612no—
1724C2×C4—611no—
1725C2×C4—611no—
1726C2×C4—611no—
1727C2×C4—1222no—
1728C2×C4—1224no—
1729C2×C4—1221no—
1730C2×C4—1221no—
1731C2×C4—1221no—
1732C2×C4—1221no—
1733C2×C4—1221no—
1734C2×C4—1221no—
1735C2×C4—1221no—
1736C2×C4—1221no—
1737C2×C4—1221no—
1738C2×C4—1221no—
1739C2×C4—4881no—
1740C2×C4—4881no—
1741C2×C4—4881no—
1742C2×C4—4881no—
1743C2×C4—4881no—
1744C2×C4—4881no—
1745C2×C4—2441no—
1746C2×C4—2442no—
1747C2×C4—2442no—
1748C2×C4—2442no—
1749C2×C4—2442no—
1750C2×C4—2442no—
1751C2×C4—2442no—
1752C2×C4—2442no—
1753C2×C4—2442no—
1754C2×C4—2442no—
1755C2×C4—2442no—
1756C2×C4C2×D4×D6111yescharacteristic
1757C2×C4C2×D4×D6111yescharacteristic
1758C2×C4C2×D4×D6111yescharacteristic
1759C2×C4C2×D4×D6111yescharacteristic
1760C2×C4C24×D6111yescharacteristic
1761C8—21no—
1762C8—21no—
1763C8—21no—
1764C8—21no—
1765C8—1221no—
1766C8—1221no—
1767C8—1221no—
1768C8—1221no—
1769C22—21no—
1770C22—21no—
1771C22—21no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—612no—
1782C22—1221no—
1783C22—1221no—
1784C22—1221no—
1785C22—1221no—
1786C22—1221no—
1787C22—1221no—
1788C22—1221no—
1789C22—1221no—
1790C22—4884no—
1791C22—2441no—
1792C22—2441no—
1793C22—2441no—
1794C22—2441no—
1795C22—2441no—
1796C22—2441no—
1797C22C22×D4×D6111yescharacteristic
1798C4—21no—
1799C4—21no—
1800C4—22no—
1801C4—21no—
1802C4—21no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—612no—
1809C4—612no—
1810C4—1221no—
1811C4—1221no—
1812C4—1222no—
1813C4—1221no—
1814C4—2441no—
1815C4—2441no—
1816C4—2441no—
1817C4—2441no—
1818C4—2441no—
1819C4C2×#41×D6111yescharacteristic
1820C4H(5,𝔽2)×D6111yescharacteristic
1821C2—41no—
1822C2—41no—
1823C2—81no—
1824C2—81no—
1825C2—1222no—
1826C2—4881no—
1827C2—4881no—
1828C2—2441no—
1829C2—2441no—
1830C2#546×D6111yescharacteristic
1831C2#577×D6111yescharacteristic
1832C2#2146059211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3326C2
socleC22×C61C23×D4
hypercenter#3326D61
hypocenterC61#61213
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3326

Complements

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

NH ≅ G/Ntype
1. #21459665C2semidirect
2. #21459587C2semidirect
3. #21458142C2semidirect
4. #21458141C2semidirect
5. #21458109C2semidirect
6. #21458108C2semidirect
7. #21458077C2semidirect
8. #21458074C2semidirect
9. #21458071C2semidirect
10. #21457767C2semidirect
11. #21457762C2semidirect
12. #21457728C2semidirect
13. #21457721C2semidirect
14. #21457718C2semidirect
15. #21457715C2semidirect
16. #21457682C2semidirect
17. #21457677C2semidirect
18. #21456140C2semidirect
19. #21455811C2semidirect
20. #21455803C2semidirect
21. #21455622C2semidirect
22. #21455496C2semidirect
23. #21455494C2semidirect
24. #21455281C2semidirect
25. #21455102C2semidirect
26. #21455100C2semidirect
27. C4×SD16×D61C2semidirect
28. #21454528C2semidirect
29. #21454351C2semidirect
30. #21454350C2semidirect
31. C61×#3326C2semidirect
47. #16840431C22semidirect
50. #16840430C22semidirect
51. Q8×C22⋊D61C22semidirect
53. #16840425C22semidirect
54. #16840424C22semidirect
56. #16840421C22semidirect
58. #16840420C22semidirect
80. #16840119C22semidirect
81. #16840117C22semidirect
82. #16840116C22semidirect
83. #16840111C22semidirect
84. #16840111C22semidirect
85. #16840107C22semidirect
86. #16840107C22semidirect
87. #16840105C22semidirect
88. #16840103C22semidirect
89. #16840102C22semidirect
90. #16840100C22semidirect
91. #16840094C22semidirect
92. #16840093C22semidirect
93. #16840091C22semidirect
94. #16840088C22semidirect
95. #16840087C22semidirect
96. #16840085C22semidirect
97. #16840082C22semidirect
98. #16840080C22semidirect
99. #16840079C22semidirect
100. #16840078C22semidirect
101. #16840070C22semidirect
102. #16840069C22semidirect
103. #16840066C22semidirect
104. #16840056C22semidirect
105. #16840055C22semidirect
106. #16840046C22semidirect
107. #16840045C22semidirect
150. #16839841C22semidirect
151. #16839838C22semidirect
152. #16839838C22semidirect
153. D4×#92418C22semidirect
154. #16839827C22semidirect
155. #16839825C22semidirect
156. #16839825C22semidirect
161. #16839772C22semidirect
164. #16839769C22semidirect
165. #16839769C22semidirect
166. #16839764C22semidirect
168. #16839762C22semidirect
170. #16839760C22semidirect
171. #16839758C22semidirect
174. #16839757C22semidirect
175. #16839756C22semidirect
178. #16839755C22semidirect
179. C2×#14519701C22semidirect
180. C2×#14519700C22semidirect
182. #103×D61C22semidirect
183. #103×D61C22semidirect
189. C61×#548C22semidirect
190. C61×#488C22semidirect
191. C61×#483C22semidirect
192. C61×#482C22semidirect
193. C61×#479C22semidirect
200. C61×#436C22semidirect
201. C61×#419C22semidirect
202. C61×#417C22semidirect
542. Q8×D61#41semidirect
914. #3326D61semidirect
976. #548C2×D61semidirect
1001. #488C2×D61semidirect
1013. #483C2×D61semidirect
1017. #482C2×D61semidirect
1025. #479C2×D61semidirect
1081. #436C2×D61semidirect
1095. #419C2×D61semidirect
1101. #417C2×D61semidirect
1119. C61#61213semidirect

Maximal subgroups

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

subgroupindex
#214596652
#214595872
#214581422
#214581412
#214581092
#214581082
#214580772
#214580742
#214580712
#214577672
#214577622
#214577282
#214577212
#214577182
#214577152
#214576822
#214576772
#214561402
#214558112
#214558032
#214556222
#214554962
#214554942
#214552812
#214551022
#214551002
C4×SD16×D612
#214545282
#214543512
#214543502
C61×#33262
#6121361