Finite Group Databasebeta

← #30573462

Subgroups — #30573462

Order 15616.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460411C211yesmaximal, characteristic, complemented
2#21459836C211yesmaximal, characteristic, complemented
3#21458897C211yesmaximal, characteristic, complemented
4#21458882C211yesmaximal, characteristic, complemented
5#21458628C211yesmaximal, characteristic, complemented
6#21458554C211yesmaximal, characteristic, complemented
7#21458012C211yesmaximal, characteristic, complemented
8#21457982C211yesmaximal, characteristic, complemented
9#21457881C211yesmaximal, characteristic, complemented
10#21457851C211yesmaximal, characteristic, complemented
11#21457754C211yesmaximal, characteristic, complemented
12#21457732C211yesmaximal, characteristic, complemented
13#21457554C211yesmaximal, characteristic, complemented
14#21457520C211yesmaximal, characteristic, complemented
15#21457404C211yesmaximal, characteristic, complemented
16#21457384C211yesmaximal, characteristic, complemented
17#21457374C211yesmaximal, characteristic, complemented
18#21457324C211yesmaximal, characteristic, complemented
19#21457241C211yesmaximal, characteristic, complemented
20#21457226C211yesmaximal, characteristic, complemented
21#21457157C211yesmaximal, characteristic, complemented
22#21456927C211yesmaximal, characteristic, complemented
23#21456910C211yesmaximal, characteristic, complemented
24#21456830C211yesmaximal, characteristic, complemented
25#21456117C211yesmaximal, characteristic, complemented
26#21456108C211yesmaximal, characteristic, complemented
27#21455928C211yesmaximal, characteristic, complemented
28#21455344C211yesmaximal, characteristic, complemented
29#21455335C211yesmaximal, characteristic, complemented
30#21454955C211yesmaximal, characteristic, complemented
31C61×#3035C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C2×Q16×D61C2211yescharacteristic, complemented
35C2×SD16×D61C2211yescharacteristic
36#16840507—21no—
37#16840500—21no—
38#16840494C2211yescharacteristic
39Q8×Dic122C2211yescharacteristic, complemented
40#16840482—21no—
41#16840482C2211yescharacteristic, complemented
42#16840481C2211yescharacteristic
43#16840480—21no—
44#16840480—21no—
45#16840480C2211yescharacteristic
46#16840480C2211yescharacteristic, complemented
47#16840477—21no—
48#16840477C2211yescharacteristic
49#16840461—21no—
50#16840441—21no—
51#16840431C2211yescharacteristic
52Q8×D244C2211yescharacteristic
53#16840420C2211yescharacteristic
54#16840419C2211yescharacteristic
55#16840419C2211yescharacteristic
56#16840419C2211yescharacteristic, complemented
57#16840411C2211yescharacteristic
58#16840405C2211yescharacteristic
59#16840400C2211yescharacteristic
60#16840377—21no—
61#16840377—21no—
62#16840377C2211yescharacteristic
63#16840377C2211yescharacteristic, complemented
64#16840373C2211yescharacteristic
65#16840366C2211yescharacteristic
66#16840362—21no—
67#16840354—21no—
68#16840345—21no—
69#16840344—21no—
70#16840337C2211yescharacteristic
71#16840325C2211yescharacteristic
72#16840319—21no—
73#16840319C2211yescharacteristic, complemented
74#16840296—21no—
75#16840296C2211yescharacteristic
76#16840296C2211yescharacteristic
77#16840238C2211yescharacteristic
78#16840238C2211yescharacteristic, complemented
79#16840157C2211yescharacteristic
80#16840157C2211yescharacteristic, complemented
81#16840153C2211yescharacteristic, complemented
82#16840150C2211yescharacteristic
83#16840145C2211yescharacteristic
84#16840143C2211yescharacteristic
85#16840123C2211yescharacteristic
86#16840121C2211yescharacteristic
87#16840121C2211yescharacteristic, complemented
88#16840120C2211yescharacteristic
89#16840111C2211yescharacteristic, complemented
90#16840107C2211yescharacteristic
91#16840103C2211yescharacteristic, complemented
92#16840102C2211yescharacteristic
93#16840101C2211yescharacteristic
94#16840086C2211yescharacteristic
95#16840085C2211yescharacteristic, complemented
96#16840084C2211yescharacteristic
97#16840070C2211yescharacteristic, complemented
98#16840070C2211yescharacteristic, complemented
99#16840069C2211yescharacteristic, complemented
100#16840062C2211yescharacteristic, complemented
101#16840055C2211yescharacteristic, complemented
102#16840050C2211yescharacteristic
103#16840048C2211yescharacteristic, complemented
104#16840045C2211yescharacteristic, complemented
105#16840043C2211yescharacteristic
106#16840040C2211yescharacteristic, complemented
107#16840019C2211yescharacteristic
108#16840012C2211yescharacteristic, complemented
109#16840007C2211yescharacteristic
110#16840005C2211yescharacteristic
111#16840003C2211yescharacteristic, complemented
112#16840003C2211yescharacteristic, complemented
113#16840002C2211yescharacteristic
114#16839995C2211yescharacteristic
115#16839991C2211yescharacteristic
116#16839991C2211yescharacteristic
117#16839990C2211yescharacteristic, complemented
118#16839988C2211yescharacteristic
119#16839987C2211yescharacteristic
120#16839986C2211yescharacteristic
121#16839985C2211yescharacteristic
122#16839985C2211yescharacteristic
123#16839984C2211yescharacteristic
124#16839983C2211yescharacteristic
125#16839982C2211yescharacteristic
126#16839982C2211yescharacteristic, complemented
127#16839982C2211yescharacteristic, complemented
128#16839977C2211yescharacteristic
129#16839975C2211yescharacteristic
130#16839975C2211yescharacteristic, complemented
131#16839973C2211yescharacteristic, complemented
132#16839971C2211yescharacteristic, complemented
133#16839970C2211yescharacteristic, complemented
134#16839969C2211yescharacteristic, complemented
135#16839969C2211yescharacteristic, complemented
136#16839968C2211yescharacteristic
137#16839961C2211yescharacteristic
138#16839960C2211yescharacteristic
139#16839959C2211yescharacteristic
140#16839959C2211yescharacteristic
141#16839927C2211yescharacteristic
142#16839925C2211yescharacteristic
143#16839924C2211yescharacteristic
144#16839924C2211yescharacteristic
145#16839924C2211yescharacteristic, complemented
146#16839924C2211yescharacteristic, complemented
147#16839924C2211yescharacteristic, complemented
148#16839919C2211yescharacteristic, complemented
149#16839916C2211yescharacteristic
150#16839916C2211yescharacteristic
151#16839914C2211yescharacteristic
152#16839907C2211yescharacteristic
153#16839906C2211yescharacteristic
154#16839904C2211yescharacteristic
155#16839899C2211yescharacteristic
156#16839899C2211yescharacteristic, complemented
157#16839899C2211yescharacteristic, complemented
158#16839894C2211yescharacteristic
159#16839891C2211yescharacteristic, complemented
160#16839891C2211yescharacteristic, complemented
161#16839872C2211yescharacteristic
162#16839869C2211yescharacteristic, complemented
163#16839867C2211yescharacteristic, complemented
164#16839866C2211yescharacteristic, complemented
165#16839863C2211yescharacteristic, complemented
166#16839862C2211yescharacteristic, complemented
167#16839860C2211yescharacteristic
168#16839859C2211yescharacteristic
169Q16×Dic61C2211yescharacteristic, complemented
170#16839854C2211yescharacteristic, complemented
171#16839853C2211yescharacteristic, complemented
172SD16×Dic61C2211yescharacteristic
173#16839833C2211yescharacteristic
174#16839833C2211yescharacteristic, complemented
175#16839832C2211yescharacteristic
176#16839832C2211yescharacteristic
177C8×C22⋊D61C2211yescharacteristic
178C8×C22⋊D61C2211yescharacteristic, complemented
179#16839822C2211yescharacteristic
180#16839822C2211yescharacteristic, complemented
181#16839819C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic
183#16839787C2211yescharacteristic, complemented
184#16839769C2211yescharacteristic, complemented
185#16839765C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839755C2211yescharacteristic
188C2×#135×C61C2211yescharacteristic
189C2×#135×C61C2211yescharacteristic, complemented
190C61×#532C2211yescharacteristic
191C4×#41×C61C2211yescharacteristic, complemented
192C61×#464C2211yescharacteristic
193C61×#464C2211yescharacteristic, complemented
194C61×#463C2211yescharacteristic
195C61×#463C2211yescharacteristic, complemented
196C61×#462C2211yescharacteristic, complemented
197C61×#461C2211yescharacteristic, complemented
198C61×#460C2211yescharacteristic
199C61×#459C2211yescharacteristic
200C2×C4⋊C8×C61C2211yescharacteristic, complemented
201C61×#416C2211yescharacteristic
202C61×#416C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C2×Q8×D61C2311yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×D4×D61C2311yescharacteristic
209#14519809—42no—
210#14519806—42no—
211C2×Dic244C2311yescharacteristic
212C2×Dic244C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218Q16×D61—42no—
219C2×#11758190C2311yescharacteristic
220C2×#11758190C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227SD16×D61—42no—
228C2×#11758199C2311yescharacteristic
229C2×#11758189C2311yescharacteristic
230C2×#11758189C2311yescharacteristic
231C2×C8×D61C2311yescharacteristic
232C2×C8×D61C2311yescharacteristic
233#14519777—21no—
234#14519777—21no—
235#14519777C2311yescharacteristic
236#14519777C2311yescharacteristic
237#14519776—21no—
238#14519776—21no—
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519775C2311yescharacteristic
242#14519773—21no—
243#14519773C2311yescharacteristic
244#14519772—21no—
245#14519772—21no—
246#14519771—21no—
247#14519771—21no—
248#14519771—21no—
249#14519771D411yescharacteristic
250#14519771D411yescharacteristic
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519770—21no—
259#14519769—21no—
260#14519769D411yescharacteristic
261#14519769C2311yescharacteristic
262#14519767—21no—
263#14519767—21no—
264#14519766C2311yescharacteristic
265#14519765D411yescharacteristic
266#14519765C2311yescharacteristic
267#14519764—21no—
268#14519764—21no—
269#14519764—21no—
270#14519764C2311yescharacteristic
271#14519764C2311yescharacteristic
272#14519764C2311yescharacteristic
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519762—21no—
282#14519762—21no—
283#14519761—21no—
284#14519760—21no—
285#14519760—21no—
286#14519760—21no—
287#14519760—21no—
288#14519760—21no—
289#14519760D411yescharacteristic
290#14519760D411yescharacteristic
291#14519759—21no—
292#14519759—21no—
293#14519758—21no—
294#14519758—21no—
295#14519758—21no—
296#14519757—21no—
297#14519757—21no—
298#14519757C2311yescharacteristic
299#14519757C2311yescharacteristic
300#14519756—21no—
301#14519756—21no—
302#14519756—21no—
303#14519756—21no—
304#14519756—21no—
305#14519756—21no—
306#14519756—21no—
307#14519756D411yescharacteristic
308#14519756C2311yescharacteristic
309#14519756C2311yescharacteristic
310#14519756C2311yescharacteristic
311#14519755—21no—
312#14519755—21no—
313#14519754—21no—
314#14519754—21no—
315#14519753C2311yescharacteristic
316#14519753C2311yescharacteristic
317#14519751—21no—
318#14519751—21no—
319#14519751D411yescharacteristic
320#14519751C2311yescharacteristic
321#14519750—21no—
322#14519750—21no—
323#14519749—21no—
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749—21no—
328#14519749—21no—
329#14519748—21no—
330#14519748—21no—
331#14519748—21no—
332#14519748—21no—
333#14519748C2311yescharacteristic
334#14519748C2311yescharacteristic
335#14519748C2311yescharacteristic
336#14519748C2311yescharacteristic
337#14519747—21no—
338#14519745—21no—
339#14519745—21no—
340#14519745—21no—
341Q8×Dic61C2311yescharacteristic
342Q8×Dic61C2311yescharacteristic
343Q8×Dic61C2311yescharacteristic
344Q8×Dic61C2311yescharacteristic
345C4×Dic122—21no—
346C4×Dic122—21no—
347C4×Dic122—21no—
348C4×Dic122—21no—
349C4×Dic122—21no—
350C4×Dic122—21no—
351C4×Dic122C2311yescharacteristic
352C4×Dic122C2311yescharacteristic
353C4×Dic122C2311yescharacteristic
354C4×Dic122C2311yescharacteristic
355#14519742—21no—
356#14519742—21no—
357#14519742C2311yescharacteristic
358#14519742C2311yescharacteristic
359C4×D244—21no—
360C4×D244C2311yescharacteristic
361C4×D244C2311yescharacteristic
362D4×Dic61C2311yescharacteristic
363D4×Dic61C2311yescharacteristic
364C4×C22⋊D61—21no—
365C4×C22⋊D61—21no—
366C4×C22⋊D61—21no—
367C4×C22⋊D61—21no—
368C4×C22⋊D61—21no—
369C4×C22⋊D61C2311yescharacteristic
370C4×C22⋊D61C2311yescharacteristic
371#14519737—21no—
372#14519737—21no—
373#14519736—21no—
374#14519736—21no—
375#14519736—21no—
376#14519735—21no—
377#14519735—21no—
378#14519735C2311yescharacteristic
379#14519735C2311yescharacteristic
380#14519734—21no—
381#14519734—21no—
382#14519734—21no—
383#14519734C2311yescharacteristic
384#14519734C2311yescharacteristic
385#14519733—21no—
386C2×#11758196—21no—
387C2×#11758198—21no—
388C22⋊C4×D61—21no—
389#14519711C2311yescharacteristic
390#14519711C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519710C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519709C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428C22⋊#92418C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519688C2311yescharacteristic
434#14519688C2311yescharacteristic
435#14519687C2311yescharacteristic
436#14519687C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C2×#41×C61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442#135×C61—42no—
443#135×C61—42no—
444C2×Q16×C61C2311yescharacteristic
445C2×Q16×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×D8×C61C2311yescharacteristic
451C2×D8×C61C2311yescharacteristic
452C22×C8×C61C2311yescharacteristic
453C22×C8×C61C2311yescharacteristic
454C4⋊Q8×C61C2311yescharacteristic
455#127×C61C2311yescharacteristic
456#124×C61C2311yescharacteristic
457#124×C61C2311yescharacteristic
458#121×C61—21no—
459#121×C61—21no—
460C4×Q8×C61C2311yescharacteristic
461C4×Q8×C61C2311yescharacteristic
462C4×D4×C61—21no—
463C4×D4×C61—21no—
464C4×D4×C61—21no—
465C4×D4×C61—21no—
466C4×D4×C61C2311yescharacteristic
467C4×D4×C61C2311yescharacteristic
468#117×C61—21no—
469#117×C61C2311yescharacteristic
470C2×C42×C61—21no—
471C2×C42×C61C2311yescharacteristic
472C4⋊C8×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475C4⋊C8×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
484C23×D61—21no—
485#41×C61—22no—
486#41×C61—41no—
487#41×C61—41no—
488#41×C61—41no—
489#41×C61—41no—
490#41×C61—41no—
491C2×Q8×C61C2411yescharacteristic
492C2×Q8×C61C2411yescharacteristic
493C2×Q8×C61C2411yescharacteristic
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61C2411yescharacteristic
500C2×D4×C61C2411yescharacteristic
501C2×D4×C61C2411yescharacteristic
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61—21no—
507C22×C4×C61C2×D411yescharacteristic
508C22×C4×C61C2×D411yescharacteristic
509C22×C4×C61C2411yescharacteristic
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⋊D61C2×D411yescharacteristic
520C2×C22⋊D61C2×D411yescharacteristic
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61—21no—
524#11758226—41no—
525#11758226—41no—
526Q8×D61—22no—
527Q8×D61—22no—
528Q8×D61—41no—
529Q8×D61—41no—
530Q8×D61—41no—
531Q8×D61—41no—
532#11758224—41no—
533#11758224—41no—
534D4×D61—41no—
535D4×D61—41no—
536C2×D244—21no—
537C2×D244C2×D411yescharacteristic
538C2×D244C2411yescharacteristic
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61C2411yescharacteristic
545C2×C4×D61C2411yescharacteristic
546C2×Dic122—21no—
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122C2×D411yescharacteristic
553C2×Dic122C2411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556Q16×C61—22no—
557Q16×C61—22no—
558SD16×C61—22no—
559SD16×C61—22no—
560SD16×C61—41no—
561SD16×C61—41no—
562D8×C61—41no—
563D8×C61—41no—
564C2×C8×C61—41no—
565C2×C8×C61—41no—
566C2×C8×C61C2411yescharacteristic
567C2×C8×C61C2411yescharacteristic
568C2×C8×C61C2411yescharacteristic
569C2×C8×C61C2411yescharacteristic
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61C2411yescharacteristic
575C4⋊C4×C61C2411yescharacteristic
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C42×C61—21no—
584C42×C61—21no—
585C42×C61—21no—
586C42×C61C2×D411yescharacteristic
587C42×C61C2×D411yescharacteristic
588C42×C61C2411yescharacteristic
589C42×C61C2411yescharacteristic
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61C2×D411yescharacteristic
606C22⋊Dic61C2×D411yescharacteristic
607#11758202—22no—
608#11758202—41no—
609#11758202—41no—
610#11758202—41no—
611#11758202—41no—
612#11758201—22no—
613#11758200—41no—
614#11758200—41no—
615#11758200—41no—
616#11758200—41no—
617#11758200—41no—
618#11758199—41no—
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
637#11758198C2×D411yescharacteristic
638#11758198C2×D411yescharacteristic
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⋊Dic61C2×D411yescharacteristic
649C4⋊Dic61C2×D411yescharacteristic
650C4⋊Dic61C2411yescharacteristic
651C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
669#11758196—21no—
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61—21no—
688C4×Dic61—21no—
689C4×Dic61C2411yescharacteristic
690C4×Dic61C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695Dic244—41no—
696Dic244—41no—
697#11758190—41no—
698#11758190—41no—
699#11758189—41no—
700#11758189—41no—
701C8×D61—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61—21no—
706C23×C61C22×D411yescharacteristic
707C22×D61—21no—
708C22×D61—81no—
709C22×D61—81no—
710C22×D61—81no—
711C22×D61C22×D411yescharacteristic
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61H(5,𝔽2)12yes—
719D4×C61—21no—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—21no—
723D4×C61—21no—
724D4×C61—21no—
725D4×C61—42no—
726D4×C61—81no—
727D4×C61—81no—
728D4×C61—81no—
729D4×C61—81no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—41no—
738C2×C4×C61—41no—
739C2×C4×C61—42no—
740C2×C4×C61—42no—
741C2×C4×C61—81no—
742C2×C4×C61—81no—
743C2×C4×C61—81no—
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C22×D411yescharacteristic
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C22×D411yescharacteristic
749C2×C4×C61C2511yescharacteristic
750C22⋊D61—41no—
751C22⋊D61—41no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C22⋊D61—81no—
756C22⋊D61—81no—
757C22⋊D61—81no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—81no—
769C2×Dic61—81no—
770C2×Dic61—81no—
771C2×Dic61C22×D411yescharacteristic
772C2×Dic61C22×D411yescharacteristic
773C2×Dic61C22×D411yescharacteristic
774C2×Dic61C22×D411yescharacteristic
775C2×Dic61C22×D411yescharacteristic
776C2×Dic61C22×D411yescharacteristic
777D244—21no—
778D244—21no—
779D244—41no—
780D244—81no—
781C4×D61—21no—
782C4×D61—21no—
783C4×D61—21no—
784C4×D61—21no—
785C4×D61—42no—
786C4×D61—42no—
787C4×D61—81no—
788C4×D61—81no—
789C4×D61—81no—
790Dic122—21no—
791Dic122—21no—
792Dic122—21no—
793Dic122—21no—
794Dic122—21no—
795Dic122—21no—
796Dic122—41no—
797Dic122—42no—
798Dic122—42no—
799Dic122—81no—
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#62013—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×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61C23×D411yescharacteristic
825C2×D61—21no—
826C2×D61—21no—
827C2×D61—21no—
828C2×D61—21no—
829C2×D61—21no—
830C2×D61—21no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—162no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61—22no—
840C4×C61—21no—
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—
859Dic61—41no—
860#3562—611no—
861#3518—611no—
862#3402—611no—
863#3401—611no—
864#3375—611no—
865#3369—611no—
866#3321—611no—
867#3319—611no—
868#3313—611no—
869#3311—611no—
870#3304—611no—
871#3302—611no—
872#3285—611no—
873#3282—611no—
874#3271—611no—
875#3270—611no—
876#3269—611no—
877#3266—611no—
878#3258—611no—
879#3257—611no—
880#3248—611no—
881#3225—611no—
882#3224—611no—
883#3216—611no—
884#3127—611no—
885#3126—611no—
886#3111—611no—
887#3044—611no—
888#3043—611no—
889#3035D6111yescharacteristic, complemented
890#2992—611no—
891C2×C61—41no—
892C2×C61—81no—
893C2×C61—81no—
894C2×C61—81no—
895C2×C61#348811yescharacteristic
896C2×C61#358411yescharacteristic
897C2×C61#358611yescharacteristic
898D61—41no—
899D61—41no—
900D61—81no—
901C2×#137—611no—
902C2×#137—611no—
903C2×#135C2×D6111yescharacteristic
904C2×#135C2×D6111yescharacteristic, complemented
905C22×Q16—611no—
906C22×SD16—611no—
907#562—1221no—
908#560—1221no—
909#559—611no—
910Q82—611no—
911#556—611no—
912#556—611no—
913#556—611no—
914#556—611no—
915#556—1221no—
916#556—1221no—
917#556—1221no—
918#555—611no—
919#555—1221no—
920#553—1221no—
921#551—1221no—
922#550—611no—
923D4×Q8—611no—
924#548—611no—
925#548—611no—
926#548—611no—
927#548—611no—
928#547—611no—
929#546—611no—
930#546—611no—
931#542—611no—
932#542—611no—
933#542—1221no—
934#542—1221no—
935#541—611no—
936#540—611no—
937#540—1221no—
938#539—1221no—
939#538—1221no—
940#538—1221no—
941#536—611no—
942#535—611no—
943#533—611no—
944#533—1221no—
945#532C2×D6111yescharacteristic
946#529—611no—
947#529—611no—
948#529—1221no—
949#519—611no—
950#519—611no—
951C4×#41C2×D6111yescharacteristic, complemented
952#497—611no—
953#497—611no—
954#497—611no—
955#496—611no—
956#495—611no—
957#495—611no—
958#489—611no—
959#489—611no—
960#489—611no—
961#489—611no—
962#487—611no—
963#486—611no—
964#485—611no—
965#485—611no—
966#485—611no—
967#482—611no—
968#482—611no—
969#482—611no—
970#479—611no—
971#479—611no—
972#479—611no—
973#478—611no—
974#477—611no—
975#476—611no—
976#475—611no—
977#475—611no—
978#474—611no—
979#474—611no—
980#470—611no—
981#469—611no—
982#468—611no—
983#468—611no—
984#467—611no—
985#467—611no—
986#467—611no—
987#466—611no—
988#465—611no—
989#465—611no—
990#465—611no—
991#465—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#464C2×D6111yescharacteristic
1002#464C2×D6111yescharacteristic, complemented
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463C2×D6111yescharacteristic
1007#463C2×D6111yescharacteristic, complemented
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#462C2×D6111yescharacteristic, complemented
1014#461—611no—
1015#461C2×D6111yescharacteristic, complemented
1016#460—611no—
1017#460—611no—
1018#460—611no—
1019#460—611no—
1020#460C2×D6111yescharacteristic
1021#459C2×D6111yescharacteristic
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452—611no—
1028#452—611no—
1029#451—611no—
1030#451—611no—
1031#451—611no—
1032#450—611no—
1033#449—611no—
1034#449—611no—
1035#449—611no—
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#447—611no—
1040#446—611no—
1041#446—611no—
1042#442—611no—
1043#441—611no—
1044#441—611no—
1045#441—611no—
1046#440—611no—
1047#440—611no—
1048#440—611no—
1049#440—611no—
1050C4×Q16—611no—
1051C4×Q16—611no—
1052C4×SD16—611no—
1053C4×SD16—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058C8×D4—611no—
1059C8×D4—611no—
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424—611no—
1065C2×C4⋊C8C2×D6111yescharacteristic, complemented
1066#419—611no—
1067#418—611no—
1068#416—611no—
1069#416—611no—
1070#416C2×D6111yescharacteristic
1071#416C2×D6111yescharacteristic, complemented
1072C61#6201311yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41C22×D6111yescharacteristic
1076C2×#41C22×D6111yescharacteristic
1077C2×#41C22×D6111yescharacteristic
1078C22×Q8—611no—
1079C22×Q8—611no—
1080C22×Q8—611no—
1081C22×D4—611no—
1082#137—2442no—
1083#137—2442no—
1084#135—42no—
1085#135—42no—
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×Q16C22×D6111yescharacteristic
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—2442no—
1105C2×SD16C22×D6111yescharacteristic
1106C2×SD16C22×D6111yescharacteristic
1107C2×SD16C22×D6111yescharacteristic
1108C2×SD16C22×D6111yescharacteristic
1109C2×D8—611no—
1110C2×D8C22×D6111yescharacteristic
1111C2×D8C22×D6111yescharacteristic
1112C2×M16—611no—
1113C2×M16—611no—
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8C22×D6111yescharacteristic
1117C22×C8C22×D6111yescharacteristic
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—611no—
1123C4⋊Q8—1221no—
1124C4⋊Q8—1221no—
1125C4⋊Q8—1221no—
1126C4⋊Q8—1221no—
1127C4⋊Q8C22×D6111yescharacteristic
1128#127—611no—
1129#127—1221no—
1130#127C22×D6111yescharacteristic
1131#126—611no—
1132#126—611no—
1133#126—1221no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#126—1221no—
1143#126—1221no—
1144#126—1221no—
1145#126—1221no—
1146#125—611no—
1147#125—611no—
1148#125—1221no—
1149#125—1221no—
1150#125—1221no—
1151#124—611no—
1152#124—611no—
1153#124—611no—
1154#124—611no—
1155#124—611no—
1156#124—611no—
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#124—1221no—
1166#124—1221no—
1167#124—1221no—
1168#124C22×D6111yescharacteristic
1169#124C22×D6111yescharacteristic
1170#123—611no—
1171#123—611no—
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—
1185C22⋊Q8—611no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
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—
1206#121—21no—
1207#121—21no—
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#120—1221no—
1229#120—1221no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—611no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—611no—
1240C4×Q8—611no—
1241C4×Q8—611no—
1242C4×Q8—1221no—
1243C4×Q8—1221no—
1244C4×Q8—1221no—
1245C4×Q8—1221no—
1246C4×Q8—1221no—
1247C4×Q8—1221no—
1248C4×Q8—1221no—
1249C4×Q8—1221no—
1250C4×Q8C22×D6111yescharacteristic
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—611no—
1259C4×D4—611no—
1260C4×D4—611no—
1261C4×D4—611no—
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
1272#117—21no—
1273#117—611no—
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#117—1221no—
1285#117—1221no—
1286#117C22×D6111yescharacteristic
1287C2×C4⋊C4—1221no—
1288C2×C22⋊C4—1221no—
1289C2×C22⋊C4—1221no—
1290C2×C42—21no—
1291C2×C42C22×D6111yescharacteristic
1292#107—611no—
1293#107—611no—
1294#107—611no—
1295#107—611no—
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106—611no—
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8C22×D6111yescharacteristic
1307C4⋊C8C22×D6111yescharacteristic
1308C4⋊C8C22×D6111yescharacteristic
1309C4⋊C8C22×D6111yescharacteristic
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#103C22×D6111yescharacteristic
1325#103C22×D6111yescharacteristic
1326#103C22×D6111yescharacteristic
1327#103C22×D6111yescharacteristic
1328#102—611no—
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#102C22×D6111yescharacteristic
1339#102C22×D6111yescharacteristic
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8—611no—
1347C22⋊C8—611no—
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97—611no—
1352C4×C8—611no—
1353C4×C8—611no—
1354C24—1221no—
1355#41—22no—
1356#41—41no—
1357#41—41no—
1358#41—41no—
1359#41—41no—
1360#41—41no—
1361#41—2441no—
1362#41—2441no—
1363#41—2441no—
1364#41—2441no—
1365C2×Q8—611no—
1366C2×Q8—611no—
1367C2×Q8—611no—
1368C2×Q8—611no—
1369C2×Q8—1221no—
1370C2×Q8—1221no—
1371C2×Q8—1221no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1221no—
1375C2×Q8—1222no—
1376C2×Q8—1222no—
1377C2×Q8—2441no—
1378C2×Q8—2441no—
1379C2×Q8—2441no—
1380C2×Q8—2441no—
1381C2×Q8C23×D6111yescharacteristic
1382C2×Q8C23×D6111yescharacteristic
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—611no—
1390C2×D4—611no—
1391C2×D4—611no—
1392C2×D4—611no—
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—2441no—
1404C2×D4—2441no—
1405C2×D4C23×D6111yescharacteristic
1406C2×D4C23×D6111yescharacteristic
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
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×C4D4×D6111yescharacteristic
1424C22×C4D4×D6111yescharacteristic
1425C22×C4C23×D6111yescharacteristic
1426Q16—22no—
1427Q16—22no—
1428Q16—1222no—
1429Q16—2441no—
1430Q16—2441no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—22no—
1436SD16—22no—
1437SD16—41no—
1438SD16—41no—
1439SD16—1222no—
1440SD16—2441no—
1441SD16—2441no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—41no—
1448D8—41no—
1449D8—2441no—
1450M16—2441no—
1451M16—2441no—
1452C2×C8—41no—
1453C2×C8—41no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—611no—
1457C2×C8—611no—
1458C2×C8—2441no—
1459C2×C8—2441no—
1460C2×C8C23×D6111yescharacteristic
1461C2×C8C23×D6111yescharacteristic
1462C2×C8C23×D6111yescharacteristic
1463C2×C8C23×D6111yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—611no—
1469C4⋊C4—611no—
1470C4⋊C4—611no—
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—611no—
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⋊C4—1221no—
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—611no—
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—1221no—
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—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—611no—
1557C42—611no—
1558C42—1221no—
1559C42—1221no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42D4×D6111yescharacteristic
1570C42D4×D6111yescharacteristic
1571C42C23×D6111yescharacteristic
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—611no—
1577C23—611no—
1578C23—1221no—
1579C23—4881no—
1580C23—4881no—
1581C23—4881no—
1582C23C2×D4×D6111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—1221no—
1589Q8—1221no—
1590Q8—1221no—
1591Q8—1221no—
1592Q8—1221no—
1593Q8—1221no—
1594Q8—4881no—
1595Q8—4881no—
1596Q8—4881no—
1597Q8—4881no—
1598Q8—2441no—
1599Q8—2442no—
1600Q8—2442no—
1601Q8#1451982212yes—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—42no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—1221no—
1614D4—1221no—
1615D4—4881no—
1616D4—4881no—
1617D4—4881no—
1618D4—4881no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—4881no—
1625D4—2441no—
1626D4—2441no—
1627D4—2441no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—42no—
1638C2×C4—42no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—611no—
1643C2×C4—611no—
1644C2×C4—611no—
1645C2×C4—611no—
1646C2×C4—611no—
1647C2×C4—611no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—1221no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—4881no—
1662C2×C4—4881no—
1663C2×C4—4881no—
1664C2×C4—4881no—
1665C2×C4—2442no—
1666C2×C4—2442no—
1667C2×C4C2×D4×D6111yescharacteristic
1668C2×C4C2×D4×D6111yescharacteristic
1669C2×C4C2×D4×D6111yescharacteristic
1670C2×C4C2×D4×D6111yescharacteristic
1671C2×C4C2×D4×D6111yescharacteristic
1672C2×C4C24×D6111yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C8—1221no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—1221no—
1694C22—1221no—
1695C22—1221no—
1696C22—1221no—
1697C22—1221no—
1698C22—1221no—
1699C22—9762no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22C22×D4×D6111yescharacteristic
1704C4—21no—
1705C4—22no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
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—
1725C4—2441no—
1726C4—2441no—
1727C4C2×#1451982211yescharacteristic
1728C4#1684059811yescharacteristic
1729C2—41no—
1730C2—81no—
1731C2—81no—
1732C2—81no—
1733C2—4881no—
1734C2—2441no—
1735C2—2441no—
1736C2#2145948411yescharacteristic
1737C2#2146058811yescharacteristic
1738C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3035C2
socleC22×C61C23×D4
hypercenter#3035D61
hypocenterC61#62013
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3035

Complements

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

NH ≅ G/Ntype
1. #21460411C2semidirect
2. #21459836C2semidirect
3. #21458897C2semidirect
4. #21458882C2semidirect
5. #21458628C2semidirect
6. #21458554C2semidirect
7. #21458012C2semidirect
8. #21457982C2semidirect
9. #21457881C2semidirect
10. #21457851C2semidirect
11. #21457754C2semidirect
12. #21457732C2semidirect
13. #21457554C2semidirect
14. #21457520C2semidirect
15. #21457404C2semidirect
16. #21457384C2semidirect
17. #21457374C2semidirect
18. #21457324C2semidirect
19. #21457241C2semidirect
20. #21457226C2semidirect
21. #21457157C2semidirect
22. #21456927C2semidirect
23. #21456910C2semidirect
24. #21456830C2semidirect
25. #21456117C2semidirect
26. #21456108C2semidirect
27. #21455928C2semidirect
28. #21455344C2semidirect
29. #21455335C2semidirect
30. #21454955C2semidirect
31. C61×#3035C2semidirect
34. C2×Q16×D61C22semidirect
39. Q8×Dic122C22semidirect
41. #16840482C22semidirect
46. #16840480C22semidirect
56. #16840419C22semidirect
63. #16840377C22semidirect
73. #16840319C22semidirect
78. #16840238C22semidirect
80. #16840157C22semidirect
81. #16840153C22semidirect
87. #16840121C22semidirect
89. #16840111C22semidirect
91. #16840103C22semidirect
95. #16840085C22semidirect
97. #16840070C22semidirect
98. #16840070C22semidirect
99. #16840069C22semidirect
100. #16840062C22semidirect
101. #16840055C22semidirect
103. #16840048C22semidirect
104. #16840045C22semidirect
106. #16840040C22semidirect
108. #16840012C22semidirect
111. #16840003C22semidirect
112. #16840003C22semidirect
117. #16839990C22semidirect
126. #16839982C22semidirect
127. #16839982C22semidirect
130. #16839975C22semidirect
131. #16839973C22semidirect
132. #16839971C22semidirect
133. #16839970C22semidirect
134. #16839969C22semidirect
135. #16839969C22semidirect
145. #16839924C22semidirect
146. #16839924C22semidirect
147. #16839924C22semidirect
148. #16839919C22semidirect
156. #16839899C22semidirect
157. #16839899C22semidirect
159. #16839891C22semidirect
160. #16839891C22semidirect
162. #16839869C22semidirect
163. #16839867C22semidirect
164. #16839866C22semidirect
165. #16839863C22semidirect
166. #16839862C22semidirect
169. Q16×Dic61C22semidirect
170. #16839854C22semidirect
171. #16839853C22semidirect
174. #16839833C22semidirect
178. C8×C22⋊D61C22semidirect
180. #16839822C22semidirect
181. #16839819C22semidirect
183. #16839787C22semidirect
184. #16839769C22semidirect
189. C2×#135×C61C22semidirect
191. C4×#41×C61C22semidirect
193. C61×#464C22semidirect
195. C61×#463C22semidirect
196. C61×#462C22semidirect
197. C61×#461C22semidirect
200. C2×C4⋊C8×C61C22semidirect
202. C61×#416C22semidirect
889. #3035D61semidirect
904. C2×#135C2×D61semidirect
951. C4×#41C2×D61semidirect
1002. #464C2×D61semidirect
1007. #463C2×D61semidirect
1013. #462C2×D61semidirect
1015. #461C2×D61semidirect
1065. C2×C4⋊C8C2×D61semidirect
1071. #416C2×D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214604112
#214598362
#214588972
#214588822
#214586282
#214585542
#214580122
#214579822
#214578812
#214578512
#214577542
#214577322
#214575542
#214575202
#214574042
#214573842
#214573742
#214573242
#214572412
#214572262
#214571572
#214569272
#214569102
#214568302
#214561172
#214561082
#214559282
#214553442
#214553352
#214549552
C61×#30352
#6201361