Finite Group Databasebeta

← #30573754

Subgroups — #30573754

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#21460290C211yesmaximal, characteristic, complemented
2#21459928C211yesmaximal, characteristic, complemented
3#21458908C211yesmaximal, characteristic, complemented
4#21458873C211yesmaximal, characteristic, complemented
5#21458623C211yesmaximal, characteristic, complemented
6#21458588C211yesmaximal, characteristic, complemented
7#21458003C211yesmaximal, characteristic, complemented
8#21457995C211yesmaximal, characteristic, complemented
9#21457913C211yesmaximal, characteristic, complemented
10#21457830C211yesmaximal, characteristic, complemented
11#21457745C211yesmaximal, characteristic, complemented
12#21457709C211yesmaximal, characteristic, complemented
13#21457558C211yesmaximal, characteristic, complemented
14#21457542C211yesmaximal, characteristic, complemented
15#21457408C211yesmaximal, characteristic, complemented
16#21457406C211yesmaximal, characteristic, complemented
17#21457391C211yesmaximal, characteristic, complemented
18#21457367C211yesmaximal, characteristic, complemented
19#21457291C211yesmaximal, characteristic, complemented
20#21457229C211yesmaximal, characteristic, complemented
21#21457150C211yesmaximal, characteristic, complemented
22#21456927C211yesmaximal, characteristic, complemented
23#21456879C211yesmaximal, characteristic, complemented
24#21456858C211yesmaximal, characteristic, complemented
25#21456088C211yesmaximal, characteristic, complemented
26#21456053C211yesmaximal, characteristic, complemented
27#21455366C211yesmaximal, characteristic, complemented
28#21455344C211yesmaximal, characteristic, complemented
29#21455274C211yesmaximal, characteristic, complemented
30#21454960C211yesmaximal, characteristic, complemented
31C61×#3116C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519809C2211yescharacteristic
34C2×#14519800C2211yescharacteristic
35C2×#14519797C2211yescharacteristic
36C2×#14519797C2211yescharacteristic
37C2×Q16×D61C2211yescharacteristic
38#16840508—21no—
39#16840508—21no—
40#16840497—21no—
41#16840497C2211yescharacteristic
42#16840495—21no—
43#16840495C2211yescharacteristic
44#16840490C2211yescharacteristic
45#16840488C2211yescharacteristic
46#16840475—21no—
47#16840475C2211yescharacteristic
48#16840472—21no—
49#16840462—21no—
50#16840462C2211yescharacteristic
51#16840451—21no—
52#16840451C2211yescharacteristic
53#16840434C2211yescharacteristic
54#16840431C2211yescharacteristic
55Q8×D244C2211yescharacteristic
56#16840424C2211yescharacteristic
57#16840422C2211yescharacteristic
58#16840422C2211yescharacteristic
59#16840419C2211yescharacteristic
60#16840414C2211yescharacteristic
61#16840414C2211yescharacteristic
62#16840386C2211yescharacteristic
63#16840386C2211yescharacteristic
64#16840383—21no—
65#16840377—21no—
66#16840377C2211yescharacteristic
67#16840367—21no—
68#16840363—21no—
69#16840363C2211yescharacteristic
70#16840360—21no—
71#16840360—21no—
72#16840337C2211yescharacteristic
73#16840337C2211yescharacteristic
74#16840312C2211yescharacteristic
75#16840296—21no—
76#16840296—21no—
77#16840296C2211yescharacteristic
78#16840296C2211yescharacteristic
79#16840244C2211yescharacteristic
80#16840238C2211yescharacteristic
81#16840156C2211yescharacteristic
82#16840153C2211yescharacteristic
83#16840151C2211yescharacteristic
84#16840148C2211yescharacteristic
85#16840143C2211yescharacteristic
86#16840133C2211yescharacteristic
87#16840131C2211yescharacteristic
88#16840129C2211yescharacteristic
89#16840127C2211yescharacteristic
90#16840123C2211yescharacteristic
91#16840118C2211yescharacteristic
92#16840111C2211yescharacteristic
93#16840105C2211yescharacteristic
94#16840099C2211yescharacteristic
95#16840089C2211yescharacteristic
96#16840077C2211yescharacteristic
97#16840072C2211yescharacteristic
98#16840069C2211yescharacteristic
99#16840069C2211yescharacteristic
100#16840061C2211yescharacteristic
101#16840051C2211yescharacteristic
102#16840046C2211yescharacteristic
103#16840044C2211yescharacteristic
104#16840039C2211yescharacteristic
105#16840021C2211yescharacteristic
106#16840016C2211yescharacteristic
107#16840014C2211yescharacteristic
108#16840007C2211yescharacteristic
109#16840001C2211yescharacteristic
110#16840001C2211yescharacteristic
111#16839997C2211yescharacteristic
112#16839993C2211yescharacteristic
113#16839993C2211yescharacteristic
114#16839992C2211yescharacteristic
115#16839992C2211yescharacteristic
116#16839990C2211yescharacteristic
117#16839987C2211yescharacteristic
118#16839986C2211yescharacteristic
119#16839986C2211yescharacteristic
120#16839985C2211yescharacteristic
121#16839985C2211yescharacteristic
122#16839984C2211yescharacteristic
123#16839984C2211yescharacteristic
124#16839984C2211yescharacteristic
125#16839984C2211yescharacteristic
126#16839983C2211yescharacteristic
127#16839980C2211yescharacteristic
128#16839978C2211yescharacteristic
129#16839978C2211yescharacteristic
130#16839977C2211yescharacteristic
131#16839977C2211yescharacteristic
132#16839976C2211yescharacteristic
133#16839972C2211yescharacteristic
134#16839971C2211yescharacteristic
135#16839970C2211yescharacteristic
136#16839970C2211yescharacteristic
137#16839969C2211yescharacteristic
138#16839967C2211yescharacteristic
139#16839966C2211yescharacteristic
140#16839964C2211yescharacteristic
141#16839962C2211yescharacteristic
142#16839961C2211yescharacteristic
143#16839957C2211yescharacteristic
144#16839956C2211yescharacteristic
145#16839927C2211yescharacteristic
146#16839927C2211yescharacteristic
147#16839926C2211yescharacteristic
148#16839926C2211yescharacteristic
149#16839919C2211yescharacteristic
150#16839919C2211yescharacteristic
151#16839910C2211yescharacteristic
152#16839910C2211yescharacteristic
153#16839909C2211yescharacteristic
154#16839909C2211yescharacteristic
155#16839906C2211yescharacteristic
156#16839906C2211yescharacteristic
157#16839902C2211yescharacteristic
158#16839902C2211yescharacteristic
159#16839899C2211yescharacteristic
160#16839899C2211yescharacteristic
161#16839890C2211yescharacteristic
162#16839890C2211yescharacteristic
163#16839866C2211yescharacteristic
164#16839865C2211yescharacteristic
165#16839861C2211yescharacteristic
166#16839861C2211yescharacteristic
167#16839856C2211yescharacteristic
168#16839854C2211yescharacteristic
169#16839847C2211yescharacteristic
170#16839844C2211yescharacteristic
171#16839835C2211yescharacteristic
172#16839835C2211yescharacteristic
173#16839830C2211yescharacteristic
174#16839830C2211yescharacteristic
175#16839825C2211yescharacteristic
176#16839825C2211yescharacteristic
177#16839822C2211yescharacteristic
178#16839822C2211yescharacteristic
179#16839787C2211yescharacteristic
180#16839787C2211yescharacteristic
181C2×C4⋊#92418C2211yescharacteristic
182#16839769C2211yescharacteristic
183#16839762C2211yescharacteristic
184#16839757C2211yescharacteristic
185#16839756C2211yescharacteristic
186#16839756C2211yescharacteristic
187#103×D61C2211yescharacteristic
188C61×#533C2211yescharacteristic
189C4×#41×C61C2211yescharacteristic
190C61×#485C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#477C2211yescharacteristic
193C61×#476C2211yescharacteristic
194C61×#462C2211yescharacteristic
195C61×#461C2211yescharacteristic
196C61×#452C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#441C2211yescharacteristic
199C61×#441C2211yescharacteristic
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C61×#432C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758222C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211#14519809—42no—
212#14519809—42no—
213#14519800—42no—
214#14519797—42no—
215#14519797—42no—
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222Q16×D61—42no—
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×D488C2311yescharacteristic
234C2×D488C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758189C2311yescharacteristic
238C2×#11758189C2311yescharacteristic
239C22×#92418C2311yescharacteristic
240C22×#92418C2311yescharacteristic
241C2×C8×D61C2311yescharacteristic
242C2×C8×D61C2311yescharacteristic
243#14519777—21no—
244#14519777C2311yescharacteristic
245#14519776—21no—
246#14519776C2311yescharacteristic
247#14519775C2311yescharacteristic
248#14519775C2311yescharacteristic
249#14519774—21no—
250#14519774C2311yescharacteristic
251#14519773—21no—
252#14519773C2311yescharacteristic
253#14519772—21no—
254#14519772—21no—
255#14519771—21no—
256#14519771D411yescharacteristic
257#14519771D411yescharacteristic
258#14519770—21no—
259#14519770—21no—
260#14519770—21no—
261#14519769—21no—
262#14519769—21no—
263#14519769—21no—
264#14519769D411yescharacteristic
265#14519769C2311yescharacteristic
266#14519768—21no—
267#14519768C2311yescharacteristic
268#14519767—21no—
269#14519767—21no—
270#14519766—21no—
271#14519766—21no—
272#14519766C2311yescharacteristic
273#14519766C2311yescharacteristic
274#14519765—21no—
275#14519765—21no—
276#14519765—21no—
277#14519765D411yescharacteristic
278#14519765C2311yescharacteristic
279#14519765C2311yescharacteristic
280#14519765C2311yescharacteristic
281#14519764—21no—
282#14519764C2311yescharacteristic
283#14519763—21no—
284#14519763—21no—
285#14519763—21no—
286#14519763—21no—
287#14519763—21no—
288#14519762—21no—
289#14519762—21no—
290#14519762—21no—
291#14519762—21no—
292#14519762—21no—
293#14519762—21no—
294#14519762—21no—
295#14519762—21no—
296#14519762—21no—
297#14519762—21no—
298#14519760—21no—
299#14519760—21no—
300#14519760—21no—
301#14519760—21no—
302#14519760—21no—
303#14519760D411yescharacteristic
304#14519760D411yescharacteristic
305#14519759—21no—
306#14519759—21no—
307#14519759—21no—
308#14519759—21no—
309#14519759—21no—
310#14519757—21no—
311#14519757—21no—
312#14519757—21no—
313#14519757C2311yescharacteristic
314#14519757C2311yescharacteristic
315#14519757C2311yescharacteristic
316#14519756—21no—
317#14519756—21no—
318#14519756D411yescharacteristic
319#14519756C2311yescharacteristic
320#14519755—21no—
321#14519755—21no—
322#14519755—21no—
323#14519755—21no—
324#14519755—21no—
325#14519755—21no—
326#14519753—21no—
327#14519753—21no—
328#14519752—21no—
329#14519752—21no—
330#14519752—21no—
331#14519752C2311yescharacteristic
332#14519752C2311yescharacteristic
333#14519752C2311yescharacteristic
334#14519751—21no—
335#14519751—21no—
336#14519751—21no—
337#14519751—21no—
338#14519751D411yescharacteristic
339#14519751C2311yescharacteristic
340#14519750—21no—
341#14519750—21no—
342#14519750—21no—
343#14519750—21no—
344#14519750—21no—
345#14519750—21no—
346#14519750—21no—
347#14519748—21no—
348#14519748—21no—
349#14519748C2311yescharacteristic
350#14519748C2311yescharacteristic
351Q8×Dic61C2311yescharacteristic
352Q8×Dic61C2311yescharacteristic
353C4×Dic122—21no—
354C4×Dic122—21no—
355C4×Dic122—21no—
356C4×Dic122C2311yescharacteristic
357C4×Dic122C2311yescharacteristic
358#14519742—21no—
359#14519742C2311yescharacteristic
360#14519742C2311yescharacteristic
361#14519742C2311yescharacteristic
362C4×D244—21no—
363C4×D244—21no—
364C4×D244—21no—
365C4×D244—21no—
366C4×D244—21no—
367C4×D244—21no—
368C4×D244—21no—
369C4×D244C2311yescharacteristic
370C4×D244C2311yescharacteristic
371#14519739—21no—
372#14519739—21no—
373#14519739—21no—
374#14519739C2311yescharacteristic
375#14519739C2311yescharacteristic
376#14519739C2311yescharacteristic
377C4×C22⋊D61—21no—
378C4×C22⋊D61—21no—
379C4×C22⋊D61—21no—
380C4×C22⋊D61—21no—
381C4×C22⋊D61—21no—
382C4×C22⋊D61C2311yescharacteristic
383C4×C22⋊D61C2311yescharacteristic
384#14519735—21no—
385#14519735C2311yescharacteristic
386#14519734—21no—
387#14519734—21no—
388#14519734—21no—
389#14519734—21no—
390#14519734—21no—
391#14519734C2311yescharacteristic
392#14519734C2311yescharacteristic
393C4⋊C4×D61—21no—
394C4⋊C4×D61—21no—
395C4⋊C4×D61—21no—
396C4⋊C4×D61C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
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#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#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C2×Q16×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C4⋊Q8×C61C2311yescharacteristic
447C4⋊Q8×C61C2311yescharacteristic
448#125×C61—21no—
449C22⋊Q8×C61—21no—
450C22⋊Q8×C61C2311yescharacteristic
451C22⋊Q8×C61C2311yescharacteristic
452C4×Q8×C61—21no—
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×D4×C61—21no—
458C4×D4×C61—21no—
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461#117×C61—21no—
462#117×C61—21no—
463#117×C61C2311yescharacteristic
464C2×C42×C61—21no—
465C2×C42×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483#97×C61C2311yescharacteristic
484#41×C61—22no—
485#41×C61—41no—
486C2×Q8×C61—21no—
487C2×Q8×C61C2411yescharacteristic
488C2×Q8×C61C2411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×D4×C61—21no—
491C2×D4×C61C2411yescharacteristic
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61C2×D411yescharacteristic
496C22×C4×C61C2×D411yescharacteristic
497C22×C4×C61C2411yescharacteristic
498C2×C22⋊D61—21no—
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⋊D61C2×D411yescharacteristic
506C2×C22⋊D61C2×D411yescharacteristic
507#11758226—22no—
508#11758226—41no—
509#11758226—41no—
510#11758226—41no—
511#11758226—41no—
512#11758226—41no—
513Q8×D61—22no—
514Q8×D61—41no—
515Q8×D61—41no—
516Q8×D61—41no—
517Q8×D61—41no—
518Q8×D61—41no—
519#11758222—41no—
520#11758222—41no—
521#11758222—41no—
522#11758222—41no—
523C2×D244—21no—
524C2×D244—21no—
525C2×D244—21no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244—21no—
530C2×D244—21no—
531C2×D244C2×D411yescharacteristic
532C2×D244C2411yescharacteristic
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×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61C2411yescharacteristic
549C2×C4×D61C2411yescharacteristic
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—21no—
554C2×Dic122C2×D411yescharacteristic
555C2×Dic122C2411yescharacteristic
556C2×Dic122C2411yescharacteristic
557C2×Dic122C2411yescharacteristic
558Q16×C61—22no—
559Q16×C61—22no—
560SD16×C61—41no—
561SD16×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×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61C2411yescharacteristic
576C4⋊C4×C61C2411yescharacteristic
577C4⋊C4×C61C2411yescharacteristic
578C4⋊C4×C61C2411yescharacteristic
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C42×C61—21no—
585C42×C61—21no—
586C42×C61—21no—
587C42×C61—21no—
588C42×C61—21no—
589C42×C61C2×D411yescharacteristic
590C42×C61C2×D411yescharacteristic
591C42×C61C2411yescharacteristic
592C42×C61C2411yescharacteristic
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61C2×D411yescharacteristic
599C22⋊Dic61C2×D411yescharacteristic
600#11758202—22no—
601#11758202—22no—
602#11758202—41no—
603#11758202—41no—
604#11758201—22no—
605#11758201—22no—
606#11758201—41no—
607#11758201—41no—
608#11758200—41no—
609#11758200—41no—
610#11758199—41no—
611#11758199—41no—
612#11758198—21no—
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#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198C2×D411yescharacteristic
635#11758198C2×D411yescharacteristic
636#11758198C2×D411yescharacteristic
637#11758198C2×D411yescharacteristic
638#11758198C2×D411yescharacteristic
639#11758198C2×D411yescharacteristic
640#11758198C2×D411yescharacteristic
641#11758198C2×D411yescharacteristic
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#11758196—21no—
667#11758196—21no—
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61C2411yescharacteristic
684C4×Dic61C2411yescharacteristic
685C2×#92418—41no—
686C2×#92418—41no—
687C2×#92418C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691Dic244—41no—
692Dic244—41no—
693D488—41no—
694D488—41no—
695#11758190—41no—
696#11758190—41no—
697#11758190—41no—
698#11758190—41no—
699#11758189—41no—
700#11758189—41no—
701C8×D61—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61C22×D411yescharacteristic
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61C22×D411yescharacteristic
709C22×D61C22×D411yescharacteristic
710Q8×C61—21no—
711Q8×C61—21no—
712Q8×C61—21no—
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—81no—
716Q8×C61H(5,𝔽2)12yes—
717D4×C61—21no—
718D4×C61—21no—
719D4×C61—42no—
720C2×C4×C61—21no—
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—41no—
730C2×C4×C61—41no—
731C2×C4×C61—42no—
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—81no—
743C22⋊D61—81no—
744C22⋊D61—81no—
745C22⋊D61—81no—
746C22⋊D61—81no—
747C22⋊D61—81no—
748C22⋊D61—81no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759C2×Dic61C22×D411yescharacteristic
760D244—21no—
761D244—21no—
762D244—21no—
763D244—21no—
764D244—21no—
765D244—21no—
766D244—41no—
767D244—42no—
768D244—42no—
769D244—81no—
770D244—81no—
771D244—81no—
772D244—81no—
773D244—81no—
774D244—81no—
775C4×D61—21no—
776C4×D61—21no—
777C4×D61—21no—
778C4×D61—21no—
779C4×D61—42no—
780C4×D61—42no—
781C4×D61—81no—
782C4×D61—81no—
783C4×D61—81no—
784C4×D61—81no—
785C4×D61—81no—
786C4×D61—81no—
787C4×D61—81no—
788C4×D61—81no—
789C4×D61—81no—
790C4×D61—81no—
791C4×D61—81no—
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×C61C23×D411yescharacteristic
819C2×D61—21no—
820C2×D61—21no—
821C2×D61—21no—
822C2×D61—21no—
823C2×D61—21no—
824C2×D61—21no—
825C2×D61—41no—
826C2×D61—41no—
827C2×D61—41no—
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×C61—41no—
846C4×C61C2×H(5,𝔽2)11yescharacteristic
847C4×C61#58511yescharacteristic
848Dic61—21no—
849Dic61—21no—
850Dic61—21no—
851Dic61—21no—
852Dic61—21no—
853Dic61—21no—
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#3124—611no—
884#3121—611no—
885#3116D6111yescharacteristic, complemented
886#3046—611no—
887#3044—611no—
888#3035—611no—
889#2992—611no—
890C2×C61—41no—
891C2×C61—81no—
892C2×C61#348811yescharacteristic
893C2×C61#358411yescharacteristic
894C2×C61#358611yescharacteristic
895D61—41no—
896D61—41no—
897D61—81no—
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—611no—
933#542—1221no—
934#542—1221no—
935#540—611no—
936#540—1221no—
937#540—1221no—
938#539—1221no—
939#539—1221no—
940#536—611no—
941#536—611no—
942#533C2×D6111yescharacteristic
943#532—611no—
944#529—611no—
945#529—611no—
946#529—1221no—
947#529—1221no—
948#520—611no—
949#519—611no—
950C4×#41C2×D6111yescharacteristic
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#485C2×D6111yescharacteristic
965#485C2×D6111yescharacteristic
966#484—611no—
967#482—611no—
968#480—611no—
969#479—611no—
970#479—611no—
971#479—611no—
972#478—611no—
973#477C2×D6111yescharacteristic
974#476—611no—
975#476C2×D6111yescharacteristic
976#475—611no—
977#475—611no—
978#474—611no—
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#464—611no—
1001#463—611no—
1002#463—611no—
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#462—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462C2×D6111yescharacteristic
1013#461—611no—
1014#461—611no—
1015#461—611no—
1016#461C2×D6111yescharacteristic
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#452C2×D6111yescharacteristic
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#449—611no—
1035#448—611no—
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#446—611no—
1040#446—611no—
1041#441—611no—
1042#441C2×D6111yescharacteristic
1043#441C2×D6111yescharacteristic
1044#440—611no—
1045#440—611no—
1046#440—611no—
1047#440C2×D6111yescharacteristic
1048#440C2×D6111yescharacteristic
1049C4×Q16—611no—
1050C4×Q16—611no—
1051C4×SD16—611no—
1052C4×D8—611no—
1053#435—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057C8×D4—611no—
1058C8×D4—611no—
1059#433—611no—
1060#433—611no—
1061#432C2×D6111yescharacteristic
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—2442no—
1093C2×Q16C22×D6111yescharacteristic
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×D8—611no—
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—1221no—
1122C4⋊Q8—1221no—
1123C4⋊Q8C22×D6111yescharacteristic
1124C4⋊Q8C22×D6111yescharacteristic
1125#127—611no—
1126#127—611no—
1127#127—1221no—
1128#127—1221no—
1129#126—611no—
1130#126—611no—
1131#126—1221no—
1132#126—1221no—
1133#126—1221no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#125—21no—
1138#125—611no—
1139#125—611no—
1140#125—611no—
1141#125—1221no—
1142#125—1221no—
1143#125—1221no—
1144#125—1221no—
1145#125—1221no—
1146#125—1221no—
1147#124—611no—
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#124—1221no—
1165#123—611no—
1166#123—611no—
1167#123—1221no—
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—1221no—
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⋊Q8C22×D6111yescharacteristic
1207C22⋊Q8C22×D6111yescharacteristic
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—611no—
1212#121—611no—
1213#121—611no—
1214#121—611no—
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#121—1221no—
1231C4×Q8—21no—
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×Q8C22×D6111yescharacteristic
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—611no—
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×D4—1221no—
1271C4×D4C22×D6111yescharacteristic
1272C4×D4C22×D6111yescharacteristic
1273#117—21no—
1274#117—21no—
1275#117—611no—
1276#117—611no—
1277#117—611no—
1278#117—1221no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117C22×D6111yescharacteristic
1285C2×C4⋊C4—611no—
1286C2×C4⋊C4—1221no—
1287C2×C4⋊C4—1221no—
1288C2×C4⋊C4—1221no—
1289C2×C42—21no—
1290C2×C42C22×D6111yescharacteristic
1291#107—611no—
1292#107—611no—
1293#107C22×D6111yescharacteristic
1294#107C22×D6111yescharacteristic
1295#106—611no—
1296#106—611no—
1297#106C22×D6111yescharacteristic
1298#106C22×D6111yescharacteristic
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#103C22×D6111yescharacteristic
1324#103C22×D6111yescharacteristic
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#102—611no—
1338#102—611no—
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#97C22×D6111yescharacteristic
1350#97C22×D6111yescharacteristic
1351C4×C8—611no—
1352C4×C8—611no—
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—1221no—
1371C2×Q8—1221no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1222no—
1375C2×Q8—2441no—
1376C2×Q8—2441no—
1377C2×Q8—2441no—
1378C2×Q8—2441no—
1379C2×Q8—2441no—
1380C2×Q8C23×D6111yescharacteristic
1381C2×Q8C23×D6111yescharacteristic
1382C2×Q8C23×D6111yescharacteristic
1383C2×D4—21no—
1384C2×D4—611no—
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×D4—1221no—
1405C2×D4C23×D6111yescharacteristic
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—611no—
1410C22×C4—611no—
1411C22×C4—1221no—
1412C22×C4—1221no—
1413C22×C4—1221no—
1414C22×C4—1221no—
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×C4D4×D6111yescharacteristic
1425C22×C4D4×D6111yescharacteristic
1426C22×C4C23×D6111yescharacteristic
1427Q16—22no—
1428Q16—22no—
1429Q16—1222no—
1430Q16—1222no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—41no—
1436SD16—41no—
1437SD16—1222no—
1438SD16—1222no—
1439SD16—2441no—
1440SD16—2441no—
1441SD16—2441no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—2441no—
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—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—611no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—611no—
1481C4⋊C4—611no—
1482C4⋊C4—611no—
1483C4⋊C4—611no—
1484C4⋊C4—611no—
1485C4⋊C4—611no—
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⋊C4—1221no—
1507C4⋊C4—1221no—
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—611no—
1518C22⋊C4—611no—
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⋊C4—1221no—
1553C22⋊C4—1221no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—611no—
1560C42—611no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42D4×D6111yescharacteristic
1569C42D4×D6111yescharacteristic
1570C42C23×D6111yescharacteristic
1571C42C23×D6111yescharacteristic
1572C23—21no—
1573C23—611no—
1574C23—611no—
1575C23—1221no—
1576C23—1221no—
1577C23—1221no—
1578C23C2×D4×D6111yescharacteristic
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—81no—
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—42no—
1600D4—1221no—
1601D4—1221no—
1602D4—1221no—
1603D4—1221no—
1604D4—1221no—
1605D4—1221no—
1606D4—4881no—
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—2442no—
1622D4—2441no—
1623D4—2441no—
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—21no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—42no—
1636C2×C4—81no—
1637C2×C4—81no—
1638C2×C4—611no—
1639C2×C4—611no—
1640C2×C4—611no—
1641C2×C4—611no—
1642C2×C4—611no—
1643C2×C4—611no—
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—4881no—
1663C2×C4—4881no—
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—1221no—
1687C22—1221no—
1688C22—1221no—
1689C22—1221no—
1690C22—1221no—
1691C22—1221no—
1692C22—2441no—
1693C22—2441no—
1694C22—2441no—
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—41no—
1714C4—1221no—
1715C4—1221no—
1716C4—1221no—
1717C4—1221no—
1718C4—1221no—
1719C4—1221no—
1720C4—2441no—
1721C4—2441no—
1722C4—2441no—
1723C4—2441no—
1724C4—2441no—
1725C4C2×#1451982311yescharacteristic
1726C4#1684059811yescharacteristic
1727C2—41no—
1728C2—81no—
1729C2—4881no—
1730C2—4881no—
1731C2—4881no—
1732C2—2441no—
1733C2—2441no—
1734C2#2145948011yescharacteristic
1735C2#2146059211yescharacteristic
1736C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3116C2
socleC22×C61C23×D4
hypercenter#3116D61
hypocenterC61#62025
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3116

Complements

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

NH ≅ G/Ntype
1. #21460290C2semidirect
2. #21459928C2semidirect
3. #21458908C2semidirect
4. #21458873C2semidirect
5. #21458623C2semidirect
6. #21458588C2semidirect
7. #21458003C2semidirect
8. #21457995C2semidirect
9. #21457913C2semidirect
10. #21457830C2semidirect
11. #21457745C2semidirect
12. #21457709C2semidirect
13. #21457558C2semidirect
14. #21457542C2semidirect
15. #21457408C2semidirect
16. #21457406C2semidirect
17. #21457391C2semidirect
18. #21457367C2semidirect
19. #21457291C2semidirect
20. #21457229C2semidirect
21. #21457150C2semidirect
22. #21456927C2semidirect
23. #21456879C2semidirect
24. #21456858C2semidirect
25. #21456088C2semidirect
26. #21456053C2semidirect
27. #21455366C2semidirect
28. #21455344C2semidirect
29. #21455274C2semidirect
30. #21454960C2semidirect
31. C61×#3116C2semidirect
885. #3116D61semidirect
1071. C61#62025semidirect

Maximal subgroups

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

subgroupindex
#214602902
#214599282
#214589082
#214588732
#214586232
#214585882
#214580032
#214579952
#214579132
#214578302
#214577452
#214577092
#214575582
#214575422
#214574082
#214574062
#214573912
#214573672
#214572912
#214572292
#214571502
#214569272
#214568792
#214568582
#214560882
#214560532
#214553662
#214553442
#214552742
#214549602
C61×#31162
#6202561