Finite Group Databasebeta

← #30572207

Subgroups — #30572207

Order 15616.

1932 conjugacy classes of subgroups.

The subgroup lattice has 1802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459687C211yesmaximal, characteristic, complemented
2#21459409C211yesmaximal, characteristic, complemented
3#21458828C211yesmaximal, characteristic, complemented
4#21458826C211yesmaximal, characteristic, complemented
5#21458516C211yesmaximal, characteristic, complemented
6#21458510C211yesmaximal, characteristic, complemented
7#21457753C211yesmaximal, characteristic, complemented
8#21457751C211yesmaximal, characteristic, complemented
9#21457675C211yesmaximal, characteristic, complemented
10#21457673C211yesmaximal, characteristic, complemented
11#21457671C211yesmaximal, characteristic, complemented
12#21457669C211yesmaximal, characteristic, complemented
13#21457573C211yesmaximal, characteristic, complemented
14#21457572C211yesmaximal, characteristic, complemented
15#21457527C211yesmaximal, characteristic, complemented
16#21457526C211yesmaximal, characteristic, complemented
17#21457519C211yesmaximal, characteristic, complemented
18#21457142C211yesmaximal, characteristic, complemented
19#21457140C211yesmaximal, characteristic, complemented
20#21457130C211yesmaximal, characteristic, complemented
21#21456798C211yesmaximal, characteristic, complemented
22#21456790C211yesmaximal, characteristic, complemented
23#21456735C211yesmaximal, characteristic, complemented
24#21455877C211yesmaximal, characteristic, complemented
25#21455872C211yesmaximal, characteristic, complemented
26#21455853C211yesmaximal, characteristic, complemented
27#21455273C211yesmaximal, characteristic, complemented
28#21455270C211yesmaximal, characteristic, complemented
29C2×#16839960C211yesmaximal, characteristic, complemented
30#21454926C211yesmaximal, characteristic, complemented
31C61×#3282C211yesmaximal, characteristic, complemented
32C2×#14519800C2211yescharacteristic, complemented
33C2×#14519798C2211yescharacteristic, complemented
34C2×#14519797C2211yescharacteristic, complemented
35C22×#11758201C2211yescharacteristic
36#16840496—21no—
37#16840495C2211yescharacteristic
38#16840494—21no—
39#16840494C2211yescharacteristic
40#16840494C2211yescharacteristic, complemented
41#16840488C2211yescharacteristic, complemented
42#16840483—21no—
43#16840483C2211yescharacteristic, complemented
44#16840464—21no—
45#16840464C2211yescharacteristic
46#16840458—21no—
47#16840458C2211yescharacteristic
48#16840431C2211yescharacteristic
49#16840431C2211yescharacteristic, complemented
50#16840430—21no—
51#16840430C2211yescharacteristic
52#16840423C2211yescharacteristic
53#16840408C2211yescharacteristic
54#16840406C2211yescharacteristic
55#16840403C2211yescharacteristic
56#16840402—21no—
57#16840399—21no—
58#16840364—21no—
59#16840362—21no—
60#16840327—21no—
61#16840314C2211yescharacteristic
62#16840311C2211yescharacteristic
63#16840309C2211yescharacteristic
64#16840308C2211yescharacteristic
65#16840307—21no—
66#16840307C2211yescharacteristic
67#16840307C2211yescharacteristic
68C2×#14519773C2211yescharacteristic
69#16840298—21no—
70#16840298C2211yescharacteristic, complemented
71#16840291—21no—
72#16840291C2211yescharacteristic, complemented
73#16840235—21no—
74#41×Dic61C2211yescharacteristic, complemented
75C4×#11758226C2211yescharacteristic, complemented
76C4×#11758224—21no—
77C4×#11758224C2211yescharacteristic
78C2×Q8×Dic61C2211yescharacteristic
79#16840147C2211yescharacteristic, complemented
80#16840144C2211yescharacteristic, complemented
81#16840143C2211yescharacteristic, complemented
82#16840137C2211yescharacteristic
83#16840137C2211yescharacteristic
84#16840118C2211yescharacteristic, complemented
85#16840117C2211yescharacteristic, complemented
86#16840116C2211yescharacteristic, complemented
87#16840115C2211yescharacteristic, complemented
88#16840107C2211yescharacteristic
89#16840107C2211yescharacteristic
90#16840098C2211yescharacteristic
91#16840095C2211yescharacteristic
92#16840088C2211yescharacteristic, complemented
93#16840087C2211yescharacteristic, complemented
94#16840084C2211yescharacteristic, complemented
95#16840083C2211yescharacteristic, complemented
96#16840063C2211yescharacteristic, complemented
97#16840062C2211yescharacteristic, complemented
98#16840061C2211yescharacteristic, complemented
99#16840060C2211yescharacteristic, complemented
100#16840055C2211yescharacteristic, complemented
101#16840055C2211yescharacteristic, complemented
102#16840051C2211yescharacteristic, complemented
103#16840050C2211yescharacteristic, complemented
104#16840046C2211yescharacteristic, complemented
105#16840045C2211yescharacteristic, complemented
106#16839998C2211yescharacteristic, complemented
107#16839997C2211yescharacteristic, complemented
108#16839996C2211yescharacteristic, complemented
109#16839995C2211yescharacteristic, complemented
110#16839994C2211yescharacteristic, complemented
111#16839993C2211yescharacteristic
112#16839993C2211yescharacteristic, complemented
113#16839991C2211yescharacteristic
114#16839989C2211yescharacteristic
115#16839988C2211yescharacteristic, complemented
116#16839986C2211yescharacteristic, complemented
117#16839984C2211yescharacteristic, complemented
118#16839982C2211yescharacteristic, complemented
119#16839980C2211yescharacteristic, complemented
120#16839979C2211yescharacteristic, complemented
121#16839979C2211yescharacteristic, complemented
122#16839978C2211yescharacteristic, complemented
123#16839975C2211yescharacteristic, complemented
124#16839974C2211yescharacteristic, complemented
125#16839974C2211yescharacteristic, complemented
126#16839970C2211yescharacteristic, complemented
127#16839970C2211yescharacteristic, complemented
128#16839966C2211yescharacteristic, complemented
129#16839965C2211yescharacteristic, complemented
130#16839961C2211yescharacteristic, complemented
131#16839960C2211yescharacteristic
132#16839960C2211yescharacteristic
133#16839960C2211yescharacteristic
134#16839960C2211yescharacteristic
135#16839960C2211yescharacteristic
136#16839960C2211yescharacteristic
137#16839960C2211yescharacteristic
138#16839960C2211yescharacteristic
139#16839960C2211yescharacteristic, complemented
140#16839956C2211yescharacteristic
141#16839956C2211yescharacteristic
142#16839955C2211yescharacteristic
143#16839955C2211yescharacteristic
144#16839923C2211yescharacteristic, complemented
145#16839922C2211yescharacteristic, complemented
146#16839921C2211yescharacteristic, complemented
147#16839918C2211yescharacteristic
148#16839910C2211yescharacteristic, complemented
149#16839909C2211yescharacteristic, complemented
150#16839907C2211yescharacteristic, complemented
151#16839907C2211yescharacteristic, complemented
152#16839906C2211yescharacteristic, complemented
153#16839906C2211yescharacteristic, complemented
154#16839904C2211yescharacteristic, complemented
155#16839898C2211yescharacteristic
156#16839896C2211yescharacteristic
157#16839895C2211yescharacteristic
158C8×Dic122C2211yescharacteristic, complemented
159#16839886C2211yescharacteristic, complemented
160Q16×Dic61C2211yescharacteristic, complemented
161Q16×Dic61C2211yescharacteristic, complemented
162#16839854C2211yescharacteristic, complemented
163#16839854C2211yescharacteristic, complemented
164SD16×Dic61C2211yescharacteristic, complemented
165C4×#11758201C2211yescharacteristic, complemented
166#16839847C2211yescharacteristic, complemented
167C4×D488C2211yescharacteristic, complemented
168D8×Dic61C2211yescharacteristic, complemented
169C4×#11758199C2211yescharacteristic, complemented
170#16839842C2211yescharacteristic, complemented
171D4×#92418C2211yescharacteristic
172C8×C22⋊D61C2211yescharacteristic
173C8×C22⋊D61C2211yescharacteristic, complemented
174#16839825C2211yescharacteristic
175#16839825C2211yescharacteristic, complemented
176#16839813C2211yescharacteristic, complemented
177#16839812C2211yescharacteristic
178#16839812C2211yescharacteristic, complemented
179C2×#14519706C2211yescharacteristic
180C2×#14519706C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839759C2211yescharacteristic, complemented
183#16839758C2211yescharacteristic, complemented
184#16839757C2211yescharacteristic, complemented
185#16839755C2211yescharacteristic, complemented
186C2×#14519699C2211yescharacteristic
187C2×#14519698C2211yescharacteristic
188C2×#135×C61C2211yescharacteristic, complemented
189C22×SD16×C61C2211yescharacteristic
190C61×#548C2211yescharacteristic
191C61×#546C2211yescharacteristic
192C61×#495C2211yescharacteristic, complemented
193C61×#465C2211yescharacteristic
194C61×#465C2211yescharacteristic, complemented
195C61×#464C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#451C2211yescharacteristic
199C61×#449C2211yescharacteristic, complemented
200C61×#447C2211yescharacteristic
201C4×SD16×C61C2211yescharacteristic, complemented
202C8×D4×C61C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222C2311yescharacteristic
207C2×#11758224—21no—
208C2×#11758224—21no—
209C2×#11758224D411yescharacteristic
210C2×#11758224C2311yescharacteristic
211C22×D244C2311yescharacteristic
212C22×C22⋊D61—21no—
213C22×C22⋊D61—21no—
214#14519800—42no—
215#14519798—42no—
216#14519797—42no—
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758190C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758201—42no—
222C2×#11758201C2311yescharacteristic
223C2×#11758201C2311yescharacteristic
224C2×#11758201C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227C2×D488C2311yescharacteristic
228C2×D488C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230C2×#11758199C2311yescharacteristic
231C2×#11758199C2311yescharacteristic
232C2×#11758199C2311yescharacteristic
233C22×#92418C2311yescharacteristic
234C22×#92418C2311yescharacteristic
235C2×C8×D61C2311yescharacteristic
236C2×C8×D61C2311yescharacteristic
237#14519776—21no—
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519775C2311yescharacteristic
241#14519773—21no—
242#14519773—21no—
243#14519773—21no—
244#14519773—21no—
245#14519773—21no—
246#14519773C2311yescharacteristic
247#14519773C2311yescharacteristic
248#14519773C2311yescharacteristic
249#14519773C2311yescharacteristic
250#14519773C2311yescharacteristic
251#14519772—21no—
252#14519772—21no—
253#14519772—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519769—21no—
258#14519769C2311yescharacteristic
259#14519768—21no—
260#14519768C2311yescharacteristic
261#14519767—21no—
262#14519766—21no—
263#14519766C2311yescharacteristic
264#14519766C2311yescharacteristic
265#14519765C2311yescharacteristic
266#14519764C2311yescharacteristic
267#14519763—21no—
268#14519763—21no—
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519762—21no—
275#14519762—21no—
276#14519761—21no—
277#14519761—21no—
278#14519761—21no—
279#14519761—21no—
280#14519760—21no—
281#14519759—21no—
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759—21no—
286#14519758—21no—
287#14519756C2311yescharacteristic
288#14519754—21no—
289#14519753—21no—
290#14519753C2311yescharacteristic
291#14519752—21no—
292#14519752C2311yescharacteristic
293#14519751—21no—
294#14519751—21no—
295#14519751—21no—
296#14519751C2311yescharacteristic
297#14519751C2311yescharacteristic
298#14519751C2311yescharacteristic
299#14519750—21no—
300#14519750—21no—
301#14519750—21no—
302#14519750—21no—
303#14519750—21no—
304#14519749—21no—
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749—21no—
311#14519749—21no—
312#14519748—21no—
313#14519748—21no—
314#14519748C2311yescharacteristic
315#14519748C2311yescharacteristic
316#14519747—21no—
317#14519746—21no—
318#14519745—21no—
319Q8×Dic61—21no—
320Q8×Dic61—21no—
321Q8×Dic61C2311yescharacteristic
322Q8×Dic61C2311yescharacteristic
323Q8×Dic61C2311yescharacteristic
324Q8×Dic61C2311yescharacteristic
325Q8×Dic61C2311yescharacteristic
326Q8×Dic61C2311yescharacteristic
327C4×Dic122—21no—
328C4×Dic122C2311yescharacteristic
329#14519742—21no—
330#14519742—21no—
331#14519742D411yescharacteristic
332#14519742C2311yescharacteristic
333C4×D244—21no—
334C4×D244C2311yescharacteristic
335C4×D244C2311yescharacteristic
336D4×Dic61—21no—
337D4×Dic61—21no—
338D4×Dic61—21no—
339D4×Dic61D411yescharacteristic
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342D4×Dic61C2311yescharacteristic
343#14519739—21no—
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61—21no—
352C4×C22⋊D61—21no—
353C4×C22⋊D61C2311yescharacteristic
354C4×C22⋊D61C2311yescharacteristic
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519737—21no—
359#14519737—21no—
360#14519737—21no—
361#14519737—21no—
362#14519737—21no—
363#14519737—21no—
364#14519737—21no—
365#14519737D411yescharacteristic
366#14519737D411yescharacteristic
367#14519736—21no—
368#14519736C2311yescharacteristic
369#14519735—21no—
370#14519735—21no—
371#14519735D411yescharacteristic
372#14519735C2311yescharacteristic
373#14519733—21no—
374#14519733—21no—
375#14519733D411yescharacteristic
376#14519733D411yescharacteristic
377C2×C4⋊Dic61—21no—
378C2×C4⋊Dic61C2311yescharacteristic
379C2×C22⋊Dic61—21no—
380C22⋊C4×D61—21no—
381C22⋊C4×D61—21no—
382C2×C4×Dic61—21no—
383C2×C4×Dic61—21no—
384C2×C4×Dic61C2311yescharacteristic
385C2×C4×Dic61C2311yescharacteristic
386C42×D61—21no—
387C42×D61C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519711C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431C22⋊#92418C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C2×#41×C61C2311yescharacteristic
441C22×Q8×C61C2311yescharacteristic
442C22×D4×C61C2311yescharacteristic
443#135×C61—42no—
444C2×Q16×C61C2311yescharacteristic
445C2×Q16×C61C2311yescharacteristic
446C2×SD16×C61—42no—
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×D8×C61C2311yescharacteristic
453C2×D8×C61C2311yescharacteristic
454C22×C8×C61C2311yescharacteristic
455C22×C8×C61C2311yescharacteristic
456#124×C61—21no—
457#124×C61C2311yescharacteristic
458#124×C61C2311yescharacteristic
459#123×C61—21no—
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61C2311yescharacteristic
462C22⋊Q8×C61C2311yescharacteristic
463#121×C61—21no—
464#121×C61—21no—
465#121×C61C2311yescharacteristic
466#121×C61C2311yescharacteristic
467#120×C61—21no—
468C4×Q8×C61C2311yescharacteristic
469C4×D4×C61—21no—
470C4×D4×C61C2311yescharacteristic
471C4×D4×C61C2311yescharacteristic
472C2×C22⋊C4×C61—21no—
473#106×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C24×C61—21no—
485C23×D61—21no—
486#41×C61—22no—
487#41×C61—41no—
488#41×C61—41no—
489#41×C61—41no—
490C2×Q8×C61—21no—
491C2×Q8×C61—22no—
492C2×Q8×C61—41no—
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—41no—
502C2×D4×C61—41no—
503C2×D4×C61C2×D411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61C2411yescharacteristic
512C22×C4×C61C2411yescharacteristic
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⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—21no—
528C2×C22⋊D61—21no—
529C2×C22⋊D61—21no—
530C2×C22⋊D61—44no—
531C2×C22⋊D61—82no—
532C2×C22⋊D61C2×D411yescharacteristic
533C2×C22⋊D61C2×D411yescharacteristic
534C22×Dic61—21no—
535C22×Dic61—21no—
536C22×Dic61—21no—
537C22×Dic61—21no—
538C22×Dic61—21no—
539C22×Dic61C2×D411yescharacteristic
540C22×Dic61C2×D411yescharacteristic
541C22×Dic61C2×D411yescharacteristic
542C22×Dic61C2×D411yescharacteristic
543#11758226—22no—
544#11758226—41no—
545#11758226—41no—
546#11758226—41no—
547#11758224—24no—
548#11758224—41no—
549#11758224—41no—
550#11758224—44no—
551#11758224—82no—
552#11758222—41no—
553#11758222—41no—
554#11758222—82no—
555C2×D244—21no—
556C2×D244—21no—
557C2×D244—21no—
558C2×D244—21no—
559C2×D244—41no—
560C2×D244—41no—
561C2×D244C2411yescharacteristic
562C2×D244C2411yescharacteristic
563C2×D244C2411yescharacteristic
564C2×C4×D61—21no—
565C2×C4×D61—21no—
566C2×C4×D61—21no—
567C2×C4×D61—21no—
568C2×C4×D61—21no—
569C2×C4×D61—21no—
570C2×C4×D61—21no—
571C2×C4×D61C2×D411yescharacteristic
572C2×C4×D61C2×D411yescharacteristic
573C2×C4×D61C2411yescharacteristic
574C2×Dic122—21no—
575C2×Dic122—21no—
576C2×Dic122C2×D411yescharacteristic
577C2×Dic122C2411yescharacteristic
578Q16×C61—22no—
579Q16×C61—41no—
580SD16×C61—22no—
581SD16×C61—22no—
582SD16×C61—41no—
583SD16×C61—41no—
584SD16×C61—41no—
585D8×C61—41no—
586D8×C61—41no—
587C2×C8×C61—41no—
588C2×C8×C61—41no—
589C2×C8×C61C2411yescharacteristic
590C2×C8×C61C2411yescharacteristic
591C2×C8×C61C2411yescharacteristic
592C2×C8×C61C2411yescharacteristic
593C4⋊C4×C61—21no—
594C4⋊C4×C61—21no—
595C4⋊C4×C61—21no—
596C4⋊C4×C61C2×D411yescharacteristic
597C4⋊C4×C61C2411yescharacteristic
598C4⋊C4×C61C2411yescharacteristic
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61—21no—
602C22⋊C4×C61—21no—
603C22⋊C4×C61—21no—
604C22⋊C4×C61—21no—
605C22⋊C4×C61—21no—
606C22⋊C4×C61—21no—
607C22⋊C4×C61—21no—
608C22⋊C4×C61C2×D411yescharacteristic
609C22⋊C4×C61C2×D411yescharacteristic
610C42×C61—21no—
611C42×C61C2411yescharacteristic
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61—21no—
615C22⋊Dic61—21no—
616C22⋊Dic61—21no—
617C22⋊Dic61—21no—
618C22⋊Dic61—21no—
619C22⋊Dic61—21no—
620C22⋊Dic61—21no—
621C22⋊Dic61C2×D411yescharacteristic
622C22⋊Dic61C2×D411yescharacteristic
623#11758202—22no—
624#11758202—41no—
625#11758201—22no—
626#11758201—22no—
627#11758201—41no—
628#11758201—41no—
629#11758201—41no—
630#11758200—41no—
631#11758199—41no—
632#11758199—41no—
633#11758199—41no—
634#11758199—41no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198C2×D411yescharacteristic
652#11758198C2×D411yescharacteristic
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61—21no—
657C4⋊Dic61—21no—
658C4⋊Dic61—21no—
659C4⋊Dic61—21no—
660C4⋊Dic61—21no—
661C4⋊Dic61C2×D411yescharacteristic
662C4⋊Dic61C2411yescharacteristic
663C4⋊Dic61C2411yescharacteristic
664C4⋊Dic61C2411yescharacteristic
665C4⋊Dic61C2411yescharacteristic
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678#11758196C2×D411yescharacteristic
679#11758196C2×D411yescharacteristic
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×Dic61C2×D411yescharacteristic
690C4×Dic61C2×D411yescharacteristic
691C4×Dic61C2×D411yescharacteristic
692C4×Dic61C2×D411yescharacteristic
693C4×Dic61C2×D411yescharacteristic
694C4×Dic61C2×D411yescharacteristic
695C4×Dic61C2411yescharacteristic
696C4×Dic61C2411yescharacteristic
697C4×Dic61C2411yescharacteristic
698C2×#92418—41no—
699C2×#92418—41no—
700C2×#92418C2411yescharacteristic
701C2×#92418C2411yescharacteristic
702C2×#92418C2411yescharacteristic
703C2×#92418C2411yescharacteristic
704D488—41no—
705D488—41no—
706#11758190—41no—
707C8×D61—41no—
708C8×D61—41no—
709C23×C61—21no—
710C23×C61—21no—
711C23×C61—21no—
712C23×C61—42no—
713C23×C61—81no—
714C23×C61—81no—
715C23×C61C22×D411yescharacteristic
716C23×C61C22×D411yescharacteristic
717C22×D61—21no—
718C22×D61—21no—
719C22×D61—21no—
720C22×D61—42no—
721C22×D61—81no—
722C22×D61—81no—
723C22×D61C22×D411yescharacteristic
724Q8×C61—21no—
725Q8×C61—21no—
726Q8×C61—21no—
727Q8×C61—21no—
728Q8×C61—21no—
729Q8×C61—42no—
730Q8×C61H(5,𝔽2)12yes—
731D4×C61—22no—
732D4×C61—21no—
733D4×C61—21no—
734D4×C61—21no—
735D4×C61—21no—
736D4×C61—21no—
737D4×C61—21no—
738D4×C61—42no—
739D4×C61—42no—
740D4×C61—81no—
741D4×C61—81no—
742D4×C61—81no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—42no—
753C2×C4×C61—42no—
754C2×C4×C61—81no—
755C2×C4×C61—81no—
756C2×C4×C61C22×D411yescharacteristic
757C2×C4×C61C22×D411yescharacteristic
758C2×C4×C61C22×D411yescharacteristic
759C2×C4×C61C22×D411yescharacteristic
760C2×C4×C61C2511yescharacteristic
761C22⋊D61—22no—
762C22⋊D61—22no—
763C22⋊D61—42no—
764C22⋊D61—42no—
765C22⋊D61—42no—
766C22⋊D61—42no—
767C22⋊D61—42no—
768C22⋊D61—42no—
769C22⋊D61—42no—
770C22⋊D61—42no—
771C22⋊D61—81no—
772C22⋊D61—81no—
773C22⋊D61—81no—
774C22⋊D61—81no—
775C22⋊D61—81no—
776C22⋊D61—81no—
777C22⋊D61—81no—
778C22⋊D61—81no—
779C22⋊D61—81no—
780C2×Dic61—22no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—21no—
786C2×Dic61—41no—
787C2×Dic61—41no—
788C2×Dic61—42no—
789C2×Dic61—81no—
790C2×Dic61—81no—
791C2×Dic61—81no—
792C2×Dic61—81no—
793C2×Dic61#13514yescomplemented
794C2×Dic61C22×D411yescharacteristic
795C2×Dic61C22×D411yescharacteristic
796C2×Dic61C22×D411yescharacteristic
797C2×Dic61C22×D411yescharacteristic
798C2×Dic61C22×D411yescharacteristic
799C2×Dic61C22×D411yescharacteristic
800C2×Dic61C22×D411yescharacteristic
801D244—21no—
802D244—21no—
803D244—21no—
804D244—21no—
805D244—21no—
806D244—21no—
807D244—42no—
808D244—81no—
809D244—81no—
810D244—81no—
811C4×D61—21no—
812C4×D61—21no—
813C4×D61—22no—
814C4×D61—41no—
815C4×D61—42no—
816C4×D61—42no—
817C4×D61—81no—
818C4×D61—81no—
819C4×D61—81no—
820C4×D61—81no—
821C4×D61—81no—
822Dic122—22no—
823Dic122—21no—
824Dic122—21no—
825Dic122—42no—
826Dic122—42no—
827C8×C61—21no—
828C8×C61—21no—
829C8×C61—21no—
830C8×C61—21no—
831#92418—21no—
832#92418—21no—
833#92418—21no—
834#92418—21no—
835#61953—611nomaximal, Sylow
836C22×C61—21no—
837C22×C61—21no—
838C22×C61—21no—
839C22×C61—21no—
840C22×C61—21no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61—41no—
845C22×C61—41no—
846C22×C61—41no—
847C22×C61—41no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61—162no—
851C22×C61C2×#13512yes—
852C22×C61C23×D411yescharacteristic
853C2×D61—21no—
854C2×D61—21no—
855C2×D61—21no—
856C2×D61—41no—
857C2×D61—41no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—162no—
866C4×C61—21no—
867C4×C61—22no—
868C4×C61—21no—
869C4×C61—21no—
870C4×C61—21no—
871C4×C61—41no—
872C4×C61—41no—
873C4×C61—41no—
874C4×C61—41no—
875C4×C61C2×H(5,𝔽2)11yescharacteristic
876C4×C61#58511yescharacteristic
877Dic61—21no—
878Dic61—21no—
879Dic61—21no—
880Dic61—21no—
881Dic61—21no—
882Dic61—41no—
883Dic61—41no—
884Dic61—41no—
885Dic61—41no—
886Dic61—41no—
887Dic61C2×#13512yes—
888Dic61C2×#13512yes—
889#3508—611no—
890#3480—611no—
891#3396—611no—
892#3396—611no—
893#3365—611no—
894#3365—611no—
895#3304—611no—
896#3304—611no—
897#3297—611no—
898#3297—611no—
899#3297—611no—
900#3297—611no—
901#3287—611no—
902#3287—611no—
903#3282—611no—
904#3282—611no—
905#3282—611no—
906#3282D6111yescharacteristic, complemented
907#3247—611no—
908#3247—611no—
909#3246—611no—
910#3212—611no—
911#3212—611no—
912#3205—611no—
913#3106—611no—
914#3106—611no—
915#3104—611no—
916#3035—611no—
917#3035—611no—
918C2×#460—611no—
919#2988—611no—
920C2×C61—22no—
921C2×C61—41no—
922C2×C61—81no—
923C2×C61—81no—
924C2×C61—81no—
925C2×C61#348811yescharacteristic
926C2×C61C22×#13511yescharacteristic
927C2×C61#358511yescharacteristic
928D61—41no—
929D61—81no—
930D61—81no—
931D61—81no—
932C2×#135—611no—
933C2×#135—611no—
934C2×#135—611no—
935C2×#135C2×D6111yescharacteristic, complemented
936C22×SD16—611no—
937C22×SD16C2×D6111yescharacteristic
938#559—611no—
939#559—611no—
940#559—611no—
941#559—1221no—
942#559—1221no—
943#557—611no—
944#556—611no—
945#556—1221no—
946#553—611no—
947#553—611no—
948#553—1221no—
949#553—1221no—
950#550—611no—
951#550—611no—
952#550—611no—
953#550—1221no—
954#548—611no—
955#548C2×D6111yescharacteristic
956#546—611no—
957#546—611no—
958#546—611no—
959#546—1221no—
960#546—1221no—
961#546C2×D6111yescharacteristic
962#540—1221no—
963#540—1221no—
964#535—1221no—
965#533—611no—
966#532—611no—
967#532—611no—
968#532—611no—
969#532—611no—
970#532—611no—
971#532—1221no—
972C2×#127—611no—
973#529—611no—
974#529—611no—
975#529—1221no—
976#529—1221no—
977#518—1221no—
978C4×#41—611no—
979C4×#41—611no—
980C4×#41—611no—
981C4×#41—1221no—
982C2×C4×Q8—611no—
983#495—611no—
984#495—611no—
985#495—611no—
986#495C2×D6111yescharacteristic, complemented
987#493—611no—
988#493—611no—
989#488—611no—
990#488—611no—
991#488—611no—
992#488—611no—
993#486—611no—
994#486—611no—
995#484—611no—
996#484—611no—
997#482—611no—
998#482—611no—
999#482—611no—
1000#482—611no—
1001#478—611no—
1002#478—611no—
1003#478—611no—
1004#478—611no—
1005#477—611no—
1006#477—611no—
1007#476—611no—
1008#476—611no—
1009#475—611no—
1010#475—611no—
1011#466—611no—
1012#466—611no—
1013#466—611no—
1014#466—611no—
1015#465—611no—
1016#465—611no—
1017#465—611no—
1018#465—611no—
1019#465—611no—
1020#465—611no—
1021#465C2×D6111yescharacteristic
1022#465C2×D6111yescharacteristic, complemented
1023#464—611no—
1024#464—611no—
1025#464—611no—
1026#464C2×D6111yescharacteristic, complemented
1027#463—611no—
1028#463—611no—
1029#463—611no—
1030#463—611no—
1031#463—611no—
1032#463—611no—
1033#463—611no—
1034#463C2×D6111yescharacteristic, complemented
1035#462—611no—
1036#462—611no—
1037#461—611no—
1038#461—611no—
1039#460—611no—
1040#460—611no—
1041#460—611no—
1042#460—611no—
1043#460—611no—
1044#460—611no—
1045#460—611no—
1046#460—611no—
1047#460—611no—
1048#460—611no—
1049#459—611no—
1050#459—611no—
1051#459—611no—
1052#459—611no—
1053#452—611no—
1054#452—611no—
1055#452—611no—
1056#452C2×D6111yescharacteristic, complemented
1057#451—611no—
1058#451C2×D6111yescharacteristic
1059#449—611no—
1060#449—611no—
1061#449—611no—
1062#449—611no—
1063#449—611no—
1064#449—611no—
1065#449—611no—
1066#449C2×D6111yescharacteristic, complemented
1067#447—611no—
1068#447—611no—
1069#447—611no—
1070#447C2×D6111yescharacteristic
1071C8×Q8—611no—
1072C8×Q8—611no—
1073C4×Q16—611no—
1074C4×Q16—611no—
1075C4×Q16—611no—
1076C4×Q16—611no—
1077C4×SD16—611no—
1078C4×SD16—611no—
1079C4×SD16—611no—
1080C4×SD16C2×D6111yescharacteristic, complemented
1081C4×D8—611no—
1082C4×D8—611no—
1083C4×D8—611no—
1084C4×D8—611no—
1085C8×D4—611no—
1086C8×D4—611no—
1087C8×D4—611no—
1088C8×D4—611no—
1089C8×D4—611no—
1090C8×D4C2×D6111yescharacteristic
1091#431—611no—
1092#431—611no—
1093#431—611no—
1094C2×C4⋊C8—611no—
1095C2×C4⋊C8—611no—
1096C2×C4⋊C8—611no—
1097#416—611no—
1098#416—611no—
1099#416—611no—
1100#416—611no—
1101C2×#102—611no—
1102C2×#102—611no—
1103C61#6195311yescharacteristic, complemented, Sylow
1104C2×#41—611no—
1105C2×#41—611no—
1106C2×#41—611no—
1107C2×#41—611no—
1108C2×#41—611no—
1109C2×#41—1221no—
1110C2×#41—1221no—
1111C2×#41—1221no—
1112C2×#41C22×D6111yescharacteristic
1113C2×#41C22×D6111yescharacteristic
1114C22×Q8C22×D6111yescharacteristic
1115C22×D4—611no—
1116C22×D4—1221no—
1117C22×D4—1221no—
1118C22×D4C22×D6111yescharacteristic
1119#135—42no—
1120#135—2442no—
1121#135—2442no—
1122#135—2442no—
1123C2×Q16—611no—
1124C2×Q16—611no—
1125C2×Q16C22×D6111yescharacteristic
1126C2×Q16C22×D6111yescharacteristic
1127C2×SD16—42no—
1128C2×SD16—611no—
1129C2×SD16—611no—
1130C2×SD16—611no—
1131C2×SD16—611no—
1132C2×SD16—611no—
1133C2×SD16—611no—
1134C2×SD16—611no—
1135C2×SD16—2442no—
1136C2×SD16C22×D6111yescharacteristic
1137C2×SD16C22×D6111yescharacteristic
1138C2×SD16C22×D6111yescharacteristic
1139C2×SD16C22×D6111yescharacteristic
1140C2×SD16C22×D6111yescharacteristic
1141C2×D8—611no—
1142C2×D8—611no—
1143C2×D8—611no—
1144C2×D8—611no—
1145C2×D8—611no—
1146C2×D8—611no—
1147C2×D8C22×D6111yescharacteristic
1148C2×D8C22×D6111yescharacteristic
1149C22×C8—611no—
1150C22×C8—611no—
1151C22×C8—611no—
1152C22×C8—611no—
1153C22×C8C22×D6111yescharacteristic
1154C22×C8C22×D6111yescharacteristic
1155C4⋊Q8—611no—
1156C4⋊Q8—611no—
1157C4⋊Q8—611no—
1158C4⋊Q8—1221no—
1159#127—611no—
1160#127—611no—
1161#127—611no—
1162#127—611no—
1163#127—611no—
1164#127—1221no—
1165#127—1221no—
1166#127—1221no—
1167#127—1221no—
1168#127—1221no—
1169#126—1221no—
1170#126—1221no—
1171#126—1221no—
1172#126—1221no—
1173#126—1221no—
1174#126—1221no—
1175#125—611no—
1176#125—611no—
1177#125—1221no—
1178#125—1221no—
1179#125—1221no—
1180#124—21no—
1181#124—611no—
1182#124—611no—
1183#124—611no—
1184#124—611no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124—1221no—
1189#124—1221no—
1190#124—1221no—
1191#124—1221no—
1192#124—1221no—
1193#124C22×D6111yescharacteristic
1194#124C22×D6111yescharacteristic
1195#123—21no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205#123—1221no—
1206#123—1221no—
1207#123—1221no—
1208#123—1221no—
1209C22⋊Q8—21no—
1210C22⋊Q8—611no—
1211C22⋊Q8—611no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8C22×D6111yescharacteristic
1215C22⋊Q8C22×D6111yescharacteristic
1216#121—21no—
1217#121—21no—
1218#121—611no—
1219#121—611no—
1220#121—611no—
1221#121—611no—
1222#121—611no—
1223#121—611no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121C22×D6111yescharacteristic
1244#121C22×D6111yescharacteristic
1245#120—21no—
1246#120—1221no—
1247#120—1221no—
1248#120—1221no—
1249C4×Q8—611no—
1250C4×Q8—611no—
1251C4×Q8—611no—
1252C4×Q8—611no—
1253C4×Q8—611no—
1254C4×Q8—611no—
1255C4×Q8—611no—
1256C4×Q8—611no—
1257C4×Q8—611no—
1258C4×Q8—1221no—
1259C4×Q8—1221no—
1260C4×Q8—1221no—
1261C4×Q8—1221no—
1262C4×Q8—1221no—
1263C4×Q8C22×D6111yescharacteristic
1264C4×D4—21no—
1265C4×D4—611no—
1266C4×D4—611no—
1267C4×D4—611no—
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—1221no—
1278C4×D4—1221no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4—1221no—
1297C4×D4—1221no—
1298C4×D4—1221no—
1299C4×D4C22×D6111yescharacteristic
1300C4×D4C22×D6111yescharacteristic
1301#117—611no—
1302#117—611no—
1303#117—611no—
1304#117—611no—
1305#117—611no—
1306#117—1221no—
1307#117—1221no—
1308#117—1221no—
1309#117—1221no—
1310#117—1221no—
1311C2×C4⋊C4—611no—
1312C2×C4⋊C4—1221no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—1221no—
1315C2×C22⋊C4—1221no—
1316C2×C22⋊C4—1221no—
1317C2×C42—611no—
1318C2×C42—611no—
1319C2×C42—611no—
1320C2×C42—1221no—
1321C2×C42—1221no—
1322C2×C42—1221no—
1323#107—611no—
1324#107—611no—
1325#107—611no—
1326#107—611no—
1327#106—611no—
1328#106—611no—
1329#106—611no—
1330#106C22×D6111yescharacteristic
1331C4⋊C8—611no—
1332C4⋊C8—611no—
1333C4⋊C8—611no—
1334C4⋊C8—611no—
1335C4⋊C8—611no—
1336C4⋊C8—611no—
1337C4⋊C8—611no—
1338C4⋊C8—611no—
1339C4⋊C8—611no—
1340C4⋊C8C22×D6111yescharacteristic
1341#103—611no—
1342#103—611no—
1343#103—611no—
1344#103—611no—
1345#103—611no—
1346#103—611no—
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103C22×D6111yescharacteristic
1351#103C22×D6111yescharacteristic
1352#103C22×D6111yescharacteristic
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102—611no—
1361#102—611no—
1362#102—611no—
1363#102—611no—
1364#102—611no—
1365#102—611no—
1366#102—611no—
1367#102—611no—
1368#102—611no—
1369#102—611no—
1370#102C22×D6111yescharacteristic
1371#102C22×D6111yescharacteristic
1372#102C22×D6111yescharacteristic
1373C22⋊C8—611no—
1374C22⋊C8—611no—
1375C22⋊C8—611no—
1376C22⋊C8—611no—
1377C22⋊C8C22×D6111yescharacteristic
1378C22⋊C8C22×D6111yescharacteristic
1379C4×C8—611no—
1380C4×C8—611no—
1381C4×C8—611no—
1382C4×C8—611no—
1383C4×C8—611no—
1384C4×C8C22×D6111yescharacteristic
1385C24—21no—
1386C24—1221no—
1387#41—22no—
1388#41—41no—
1389#41—41no—
1390#41—41no—
1391#41—1224no—
1392#41—1222no—
1393#41—4882no—
1394#41—4882no—
1395#41—2441no—
1396#41—2441no—
1397#41—2444no—
1398#41—2441no—
1399#41—2441no—
1400#41—2441no—
1401#41—2441no—
1402#41—2441no—
1403C2×Q8—21no—
1404C2×Q8—22no—
1405C2×Q8—41no—
1406C2×Q8—611no—
1407C2×Q8—611no—
1408C2×Q8—1221no—
1409C2×Q8—1221no—
1410C2×Q8C23×D6111yescharacteristic
1411C2×Q8C23×D6111yescharacteristic
1412C2×Q8C23×D6111yescharacteristic
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—611no—
1421C2×D4—611no—
1422C2×D4—611no—
1423C2×D4—611no—
1424C2×D4—611no—
1425C2×D4—1221no—
1426C2×D4—1221no—
1427C2×D4—1221no—
1428C2×D4—1221no—
1429C2×D4—1221no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—1221no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—1221no—
1437C2×D4—1221no—
1438C2×D4—1221no—
1439C2×D4—1221no—
1440C2×D4—1221no—
1441C2×D4—1221no—
1442C2×D4—1221no—
1443C2×D4—1221no—
1444C2×D4—1221no—
1445C2×D4—1221no—
1446C2×D4—4882no—
1447C2×D4—2441no—
1448C2×D4—2441no—
1449C2×D4—2444no—
1450C2×D4D4×D6111yescharacteristic
1451C2×D4C23×D6111yescharacteristic
1452C2×D4C23×D6111yescharacteristic
1453C2×D4C23×D6111yescharacteristic
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—611no—
1459C22×C4—611no—
1460C22×C4—611no—
1461C22×C4—611no—
1462C22×C4—611no—
1463C22×C4—611no—
1464C22×C4—611no—
1465C22×C4—1221no—
1466C22×C4—1221no—
1467C22×C4—1221no—
1468C22×C4—1221no—
1469C22×C4—1221no—
1470C22×C4—1221no—
1471C22×C4—1221no—
1472C22×C4—1221no—
1473C22×C4—1221no—
1474C22×C4—1221no—
1475C22×C4—1221no—
1476C22×C4—1221no—
1477C22×C4C23×D6111yescharacteristic
1478C22×C4C23×D6111yescharacteristic
1479Q16—22no—
1480Q16—41no—
1481Q16—1222no—
1482Q16—2441no—
1483SD16—22no—
1484SD16—22no—
1485SD16—41no—
1486SD16—41no—
1487SD16—41no—
1488SD16—1222no—
1489SD16—1222no—
1490SD16—2441no—
1491SD16—2441no—
1492SD16—2441no—
1493SD16—2441no—
1494SD16—2441no—
1495D8—41no—
1496D8—41no—
1497D8—2441no—
1498D8—2441no—
1499D8—2441no—
1500D8—2441no—
1501D8—2441no—
1502D8—2441no—
1503C2×C8—41no—
1504C2×C8—41no—
1505C2×C8—611no—
1506C2×C8—611no—
1507C2×C8—611no—
1508C2×C8—611no—
1509C2×C8—2441no—
1510C2×C8—2441no—
1511C2×C8—2441no—
1512C2×C8—2441no—
1513C2×C8C23×D6111yescharacteristic
1514C2×C8C23×D6111yescharacteristic
1515C2×C8C23×D6111yescharacteristic
1516C2×C8C23×D6111yescharacteristic
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—611no—
1521C4⋊C4—611no—
1522C4⋊C4—611no—
1523C4⋊C4—611no—
1524C4⋊C4—611no—
1525C4⋊C4—611no—
1526C4⋊C4—611no—
1527C4⋊C4—611no—
1528C4⋊C4—611no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4—1221no—
1536C4⋊C4—1221no—
1537C4⋊C4—1221no—
1538C4⋊C4—1221no—
1539C4⋊C4—1221no—
1540C4⋊C4—1221no—
1541C4⋊C4—1221no—
1542C4⋊C4—1221no—
1543C4⋊C4—1221no—
1544C4⋊C4—1221no—
1545C4⋊C4—1221no—
1546C4⋊C4—1221no—
1547C4⋊C4D4×D6111yescharacteristic
1548C4⋊C4C23×D6111yescharacteristic
1549C4⋊C4C23×D6111yescharacteristic
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—611no—
1560C22⋊C4—611no—
1561C22⋊C4—611no—
1562C22⋊C4—611no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4—1221no—
1583C22⋊C4—1221no—
1584C22⋊C4—1221no—
1585C22⋊C4—1221no—
1586C22⋊C4—1221no—
1587C22⋊C4—1221no—
1588C22⋊C4D4×D6111yescharacteristic
1589C22⋊C4D4×D6111yescharacteristic
1590C42—21no—
1591C42—611no—
1592C42—611no—
1593C42—611no—
1594C42—611no—
1595C42—611no—
1596C42—611no—
1597C42—611no—
1598C42—611no—
1599C42—611no—
1600C42—1221no—
1601C42—1221no—
1602C42—1221no—
1603C42—1221no—
1604C42—1221no—
1605C42—1221no—
1606C42—1221no—
1607C42—1221no—
1608C42—1221no—
1609C42C23×D6111yescharacteristic
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—42no—
1614C23—81no—
1615C23—81no—
1616C23—611no—
1617C23—1221no—
1618C23—1221no—
1619C23—1221no—
1620C23—4881no—
1621C23—4881no—
1622C23—2442no—
1623C23C2×D4×D6111yescharacteristic
1624C23C2×D4×D6111yescharacteristic
1625Q8—21no—
1626Q8—21no—
1627Q8—21no—
1628Q8—21no—
1629Q8—21no—
1630Q8—42no—
1631Q8—1222no—
1632Q8—1221no—
1633Q8—1221no—
1634Q8—2442no—
1635Q8—2442no—
1636Q8#1451982212yes—
1637D4—22no—
1638D4—21no—
1639D4—21no—
1640D4—21no—
1641D4—21no—
1642D4—21no—
1643D4—21no—
1644D4—42no—
1645D4—42no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—1222no—
1650D4—1222no—
1651D4—1221no—
1652D4—1221no—
1653D4—1221no—
1654D4—1221no—
1655D4—1221no—
1656D4—1221no—
1657D4—4881no—
1658D4—4881no—
1659D4—4881no—
1660D4—4881no—
1661D4—4881no—
1662D4—4881no—
1663D4—4881no—
1664D4—4881no—
1665D4—4881no—
1666D4—4881no—
1667D4—4881no—
1668D4—4881no—
1669D4—2442no—
1670D4—2442no—
1671D4—2442no—
1672D4—2442no—
1673D4—2442no—
1674D4—2442no—
1675D4—2442no—
1676D4—2442no—
1677D4—2442no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—42no—
1688C2×C4—42no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—614no—
1692C2×C4—611no—
1693C2×C4—611no—
1694C2×C4—611no—
1695C2×C4—611no—
1696C2×C4—611no—
1697C2×C4—611no—
1698C2×C4—611no—
1699C2×C4—1222no—
1700C2×C4—1222no—
1701C2×C4—1221no—
1702C2×C4—1221no—
1703C2×C4—1221no—
1704C2×C4—1221no—
1705C2×C4—1221no—
1706C2×C4—1221no—
1707C2×C4—1221no—
1708C2×C4—4881no—
1709C2×C4—4881no—
1710C2×C4—4881no—
1711C2×C4—4881no—
1712C2×C4—4881no—
1713C2×C4—4881no—
1714C2×C4—4881no—
1715C2×C4—4881no—
1716C2×C4—4881no—
1717C2×C4—2441no—
1718C2×C4—2442no—
1719C2×C4—2442no—
1720C2×C4—2442no—
1721C2×C4—2441no—
1722C2×C4—2441no—
1723C2×C4C2×D4×D6111yescharacteristic
1724C2×C4C2×D4×D6111yescharacteristic
1725C2×C4C2×D4×D6111yescharacteristic
1726C2×C4C2×D4×D6111yescharacteristic
1727C2×C4C24×D6111yescharacteristic
1728C8—21no—
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—1221no—
1733C8—1221no—
1734C8—1221no—
1735C8—1221no—
1736C22—21no—
1737C22—21no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—162no—
1751C22—1221no—
1752C22—1221no—
1753C22—1221no—
1754C22—9762no—
1755C22—2441no—
1756C22—2441no—
1757C22—2441no—
1758C22—2441no—
1759C22—2441no—
1760C22—2441no—
1761C22—2441no—
1762C22—2441no—
1763C22—2441no—
1764C22#135×D6112yes—
1765C22C22×D4×D6111yescharacteristic
1766C4—21no—
1767C4—21no—
1768C4—22no—
1769C4—21no—
1770C4—21no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—612no—
1776C4—612no—
1777C4—1221no—
1778C4—1221no—
1779C4—1221no—
1780C4—1221no—
1781C4—1221no—
1782C4—2441no—
1783C4—2441no—
1784C4—2441no—
1785C4—2441no—
1786C4—2441no—
1787C4C2×#1451982211yescharacteristic
1788C4#1684059711yescharacteristic
1789C2—22no—
1790C2—41no—
1791C2—81no—
1792C2—81no—
1793C2—81no—
1794C2—4881no—
1795C2—4881no—
1796C2—4881no—
1797C2—2441no—
1798C2#2145947911yescharacteristic
1799C2C2×#135×D6111yescharacteristic
1800C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3282C2
socleC22×C61C23×D4
hypercenter#3282D61
hypocenterC61#61953
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #21459687C2semidirect
2. #21459409C2semidirect
3. #21458828C2semidirect
4. #21458826C2semidirect
5. #21458516C2semidirect
6. #21458510C2semidirect
7. #21457753C2semidirect
8. #21457751C2semidirect
9. #21457675C2semidirect
10. #21457673C2semidirect
11. #21457671C2semidirect
12. #21457669C2semidirect
13. #21457573C2semidirect
14. #21457572C2semidirect
15. #21457527C2semidirect
16. #21457526C2semidirect
17. #21457519C2semidirect
18. #21457142C2semidirect
19. #21457140C2semidirect
20. #21457130C2semidirect
21. #21456798C2semidirect
22. #21456790C2semidirect
23. #21456735C2semidirect
24. #21455877C2semidirect
25. #21455872C2semidirect
26. #21455853C2semidirect
27. #21455273C2semidirect
28. #21455270C2semidirect
29. C2×#16839960C2semidirect
30. #21454926C2semidirect
31. C61×#3282C2semidirect
32. C2×#14519800C22semidirect
33. C2×#14519798C22semidirect
34. C2×#14519797C22semidirect
40. #16840494C22semidirect
41. #16840488C22semidirect
43. #16840483C22semidirect
49. #16840431C22semidirect
70. #16840298C22semidirect
72. #16840291C22semidirect
74. #41×Dic61C22semidirect
75. C4×#11758226C22semidirect
79. #16840147C22semidirect
80. #16840144C22semidirect
81. #16840143C22semidirect
84. #16840118C22semidirect
85. #16840117C22semidirect
86. #16840116C22semidirect
87. #16840115C22semidirect
92. #16840088C22semidirect
93. #16840087C22semidirect
94. #16840084C22semidirect
95. #16840083C22semidirect
96. #16840063C22semidirect
97. #16840062C22semidirect
98. #16840061C22semidirect
99. #16840060C22semidirect
100. #16840055C22semidirect
101. #16840055C22semidirect
102. #16840051C22semidirect
103. #16840050C22semidirect
104. #16840046C22semidirect
105. #16840045C22semidirect
106. #16839998C22semidirect
107. #16839997C22semidirect
108. #16839996C22semidirect
109. #16839995C22semidirect
110. #16839994C22semidirect
112. #16839993C22semidirect
115. #16839988C22semidirect
116. #16839986C22semidirect
117. #16839984C22semidirect
118. #16839982C22semidirect
119. #16839980C22semidirect
120. #16839979C22semidirect
121. #16839979C22semidirect
122. #16839978C22semidirect
123. #16839975C22semidirect
124. #16839974C22semidirect
125. #16839974C22semidirect
126. #16839970C22semidirect
127. #16839970C22semidirect
128. #16839966C22semidirect
129. #16839965C22semidirect
130. #16839961C22semidirect
139. #16839960C22semidirect
144. #16839923C22semidirect
145. #16839922C22semidirect
146. #16839921C22semidirect
148. #16839910C22semidirect
149. #16839909C22semidirect
150. #16839907C22semidirect
151. #16839907C22semidirect
152. #16839906C22semidirect
153. #16839906C22semidirect
154. #16839904C22semidirect
158. C8×Dic122C22semidirect
159. #16839886C22semidirect
160. Q16×Dic61C22semidirect
161. Q16×Dic61C22semidirect
162. #16839854C22semidirect
163. #16839854C22semidirect
164. SD16×Dic61C22semidirect
165. C4×#11758201C22semidirect
166. #16839847C22semidirect
167. C4×D488C22semidirect
168. D8×Dic61C22semidirect
169. C4×#11758199C22semidirect
170. #16839842C22semidirect
173. C8×C22⋊D61C22semidirect
175. #16839825C22semidirect
176. #16839813C22semidirect
178. #16839812C22semidirect
180. C2×#14519706C22semidirect
181. C4⋊C8×D61C22semidirect
182. #16839759C22semidirect
183. #16839758C22semidirect
184. #16839757C22semidirect
185. #16839755C22semidirect
188. C2×#135×C61C22semidirect
192. C61×#495C22semidirect
194. C61×#465C22semidirect
195. C61×#464C22semidirect
196. C61×#463C22semidirect
197. C61×#452C22semidirect
199. C61×#449C22semidirect
201. C4×SD16×C61C22semidirect
793. C2×Dic61#135semidirect
906. #3282D61semidirect
935. C2×#135C2×D61semidirect
986. #495C2×D61semidirect
1022. #465C2×D61semidirect
1026. #464C2×D61semidirect
1034. #463C2×D61semidirect
1056. #452C2×D61semidirect
1066. #449C2×D61semidirect
1080. C4×SD16C2×D61semidirect
1103. C61#61953semidirect

Maximal subgroups

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

subgroupindex
#214596872
#214594092
#214588282
#214588262
#214585162
#214585102
#214577532
#214577512
#214576752
#214576732
#214576712
#214576692
#214575732
#214575722
#214575272
#214575262
#214575192
#214571422
#214571402
#214571302
#214567982
#214567902
#214567352
#214558772
#214558722
#214558532
#214552732
#214552702
C2×#168399602
#214549262
C61×#32822
#6195361