Finite Group Databasebeta

← #30548492

Subgroups — #30548492

Order 15616.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459203C211yesmaximal, characteristic, complemented
2#520×D61C211yesmaximal, characteristic, complemented
3#21456102C211yesmaximal, characteristic, complemented
4#21456100C211yesmaximal, characteristic, complemented
5#21456099C211yesmaximal, characteristic, complemented
6#21456097C211yesmaximal, characteristic, complemented
7#21456079C211yesmaximal, characteristic, complemented
8#21456077C211yesmaximal, characteristic, complemented
9#21456076C211yesmaximal, characteristic, complemented
10#21456074C211yesmaximal, characteristic, complemented
11#21456040C211yesmaximal, characteristic, complemented
12#21456038C211yesmaximal, characteristic, complemented
13#21456035C211yesmaximal, characteristic, complemented
14#21456033C211yesmaximal, characteristic, complemented
15#21456017C211yesmaximal, characteristic, complemented
16#21456015C211yesmaximal, characteristic, complemented
17#21456012C211yesmaximal, characteristic, complemented
18#21455741C211yesmaximal, characteristic, complemented
19#21455738C211yesmaximal, characteristic, complemented
20#21455622C211yesmaximal, characteristic, complemented
21#21455614C211yesmaximal, characteristic, complemented
22#21455286C211yesmaximal, characteristic, complemented
23#21455278C211yesmaximal, characteristic, complemented
24#21455057C211yesmaximal, characteristic, complemented
25#21455057C211yesmaximal, characteristic, complemented
26#21454641C211yesmaximal, characteristic, complemented
27C4×#14519806C211yesmaximal, characteristic, complemented
28#21454630C211yesmaximal, characteristic, complemented
29C4×#14519801C211yesmaximal, characteristic, complemented
30#21454453C211yesmaximal, characteristic, complemented
31C61×#3119C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C2×#14519806C2211yescharacteristic
35C2×#14519801C2211yescharacteristic
36C2×#14519801C2211yescharacteristic
37#16840379C2211yescharacteristic, complemented
38#16840379C2211yescharacteristic, complemented
39#16840377C2211yescharacteristic, complemented
40#16840377C2211yescharacteristic, complemented
41#16840375C2211yescharacteristic, complemented
42#16840374C2211yescharacteristic, complemented
43#16840366C2211yescharacteristic, complemented
44#16840355—21no—
45#16840355—21no—
46#16840344—21no—
47#16840344—21no—
48#16840318C2211yescharacteristic
49#16840310C2211yescharacteristic
50#16840293—21no—
51#16840293—21no—
52#16840289—21no—
53#16840289—21no—
54#16840272C2211yescharacteristic
55#16840272C2211yescharacteristic
56#16840245C2211yescharacteristic
57#16840244C2211yescharacteristic
58#16840244C2211yescharacteristic
59#16840243—21no—
60#16840243C2211yescharacteristic
61#16840242—21no—
62#16840242C2211yescharacteristic
63#16840241—21no—
64#16840241—21no—
65#16840241C2211yescharacteristic
66#16840241C2211yescharacteristic
67C4×#11758224C2211yescharacteristic
68C4×#11758224C2211yescharacteristic
69C4×Q8×D61C2211yescharacteristic
70C4×Q8×D61C2211yescharacteristic
71C4×D4×D61—21no—
72C4×D4×D61—21no—
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#117×D61—21no—
76#117×D61C2211yescharacteristic
77C2×C4⋊C4×D61—21no—
78C2×C4⋊C4×D61C2211yescharacteristic
79#16840099C2211yescharacteristic, complemented
80#16840099C2211yescharacteristic, complemented
81#16840098C2211yescharacteristic, complemented
82#16840097C2211yescharacteristic, complemented
83#16840094C2211yescharacteristic, complemented
84#16840094C2211yescharacteristic, complemented
85#16840093C2211yescharacteristic, complemented
86#16840092C2211yescharacteristic, complemented
87#16840079C2211yescharacteristic, complemented
88#16840079C2211yescharacteristic, complemented
89#16840078C2211yescharacteristic, complemented
90#16840074C2211yescharacteristic, complemented
91#16840074C2211yescharacteristic, complemented
92#16840073C2211yescharacteristic, complemented
93#16840070C2211yescharacteristic, complemented
94#16840069C2211yescharacteristic, complemented
95#16840066C2211yescharacteristic, complemented
96#16840063C2211yescharacteristic, complemented
97#16840062C2211yescharacteristic, complemented
98#16840059C2211yescharacteristic, complemented
99#16840056C2211yescharacteristic, complemented
100#16840055C2211yescharacteristic, complemented
101#16840051C2211yescharacteristic, complemented
102#16840050C2211yescharacteristic, complemented
103#16840046C2211yescharacteristic, complemented
104#16840045C2211yescharacteristic, complemented
105#16840041C2211yescharacteristic, complemented
106#16840040C2211yescharacteristic, complemented
107#16839983C2211yescharacteristic, complemented
108#16839983C2211yescharacteristic, complemented
109#16839982C2211yescharacteristic, complemented
110#16839982C2211yescharacteristic, complemented
111#16839976C2211yescharacteristic, complemented
112#16839976C2211yescharacteristic, complemented
113#16839975C2211yescharacteristic, complemented
114#16839975C2211yescharacteristic, complemented
115#16839973C2211yescharacteristic, complemented
116#16839972C2211yescharacteristic, complemented
117#16839968C2211yescharacteristic, complemented
118#16839967C2211yescharacteristic, complemented
119#16839959C2211yescharacteristic, complemented
120#16839954C2211yescharacteristic, complemented
121#16839927C2211yescharacteristic
122#16839927C2211yescharacteristic
123#16839926C2211yescharacteristic
124#16839926C2211yescharacteristic
125#16839925C2211yescharacteristic
126#16839925C2211yescharacteristic
127#16839924C2211yescharacteristic
128#16839924C2211yescharacteristic
129#16839906C2211yescharacteristic
130#16839906C2211yescharacteristic
131#16839905C2211yescharacteristic
132#16839905C2211yescharacteristic
133#16839904C2211yescharacteristic
134#16839904C2211yescharacteristic
135#16839874C2211yescharacteristic, complemented
136#16839872C2211yescharacteristic, complemented
137#16839871C2211yescharacteristic, complemented
138#16839870C2211yescharacteristic, complemented
139#16839868C2211yescharacteristic, complemented
140#16839867C2211yescharacteristic, complemented
141#16839866C2211yescharacteristic, complemented
142#16839864C2211yescharacteristic, complemented
143#16839863C2211yescharacteristic, complemented
144#16839862C2211yescharacteristic, complemented
145#16839862C2211yescharacteristic, complemented
146#16839861C2211yescharacteristic, complemented
147#16839859C2211yescharacteristic, complemented
148#16839859C2211yescharacteristic, complemented
149C4×Dic244C2211yescharacteristic, complemented
150#16839856C2211yescharacteristic, complemented
151C4×#11758202C2211yescharacteristic, complemented
152#16839854C2211yescharacteristic, complemented
153#16839853C2211yescharacteristic, complemented
154#16839853C2211yescharacteristic, complemented
155C4×#11758190C2211yescharacteristic, complemented
156SD16×Dic61C2211yescharacteristic, complemented
157#16839849C2211yescharacteristic, complemented
158C4×#11758200C2211yescharacteristic, complemented
159C4×#11758200C2211yescharacteristic, complemented
160D8×Dic61C2211yescharacteristic, complemented
161C4×#11758199C2211yescharacteristic, complemented
162#16839842C2211yescharacteristic, complemented
163#16839824C2211yescharacteristic, complemented
164#16839823C2211yescharacteristic, complemented
165#16839822C2211yescharacteristic, complemented
166#16839822C2211yescharacteristic, complemented
167#16839821C2211yescharacteristic, complemented
168#16839820C2211yescharacteristic, complemented
169#16839820C2211yescharacteristic, complemented
170#16839803C2211yescharacteristic
171#16839803C2211yescharacteristic
172#16839801C2211yescharacteristic
173#16839801C2211yescharacteristic
174#16839784C2211yescharacteristic
175#16839784C2211yescharacteristic
176#16839769C2211yescharacteristic
177#16839769C2211yescharacteristic
178#16839765C2211yescharacteristic
179#16839765C2211yescharacteristic
180#16839760C2211yescharacteristic
181#16839760C2211yescharacteristic
182#16839760C2211yescharacteristic
183#16839760C2211yescharacteristic
184#16839724C2211yescharacteristic
185#16839724C2211yescharacteristic
186#16839714C2211yescharacteristic
187C4×#11758189C2211yescharacteristic
188C61×#540C2211yescharacteristic, complemented
189C61×#520C2211yescharacteristic
190C61×#481C2211yescharacteristic, complemented
191C61×#480C2211yescharacteristic, complemented
192C61×#479C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#460C2211yescharacteristic, complemented
195C61×#459C2211yescharacteristic, complemented
196C61×#449C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#442C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C4×SD16×C61C2211yescharacteristic, complemented
201C4×D8×C61C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224C2311yescharacteristic
208C2×#11758224C2311yescharacteristic
209C2×#11758224C2311yescharacteristic
210#41×D61—24no—
211#41×D61—24no—
212C2×Q8×D61C2311yescharacteristic
213C2×D4×D61—21no—
214C2×D4×D61C2311yescharacteristic
215C22×C4×D61—21no—
216C22×C4×D61—21no—
217C22×C4×D61—21no—
218C22×C4×D61—21no—
219C22×C4×D61C2311yescharacteristic
220#14519806—24no—
221#14519806—24no—
222#14519801—24no—
223#14519801—24no—
224C2×Dic244C2311yescharacteristic
225C2×Dic244C2311yescharacteristic
226C2×#11758202C2311yescharacteristic
227C2×#11758202C2311yescharacteristic
228C2×#11758190C2311yescharacteristic
229C2×#11758190C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758200C2311yescharacteristic
233C2×#11758200C2311yescharacteristic
234C2×#11758199C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758189C2311yescharacteristic
237C2×#11758189C2311yescharacteristic
238C2×#11758189C2311yescharacteristic
239C2×#11758189C2311yescharacteristic
240#14519777C2311yescharacteristic
241#14519776C2311yescharacteristic
242#14519776C2311yescharacteristic
243#14519772—21no—
244#14519772—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770—21no—
249#14519770—21no—
250#14519770—21no—
251#14519769C2311yescharacteristic
252#14519768—21no—
253#14519768—21no—
254#14519767—21no—
255#14519767—21no—
256#14519764—21no—
257#14519764—21no—
258#14519764C2311yescharacteristic
259#14519764C2311yescharacteristic
260#14519763—21no—
261#14519763—21no—
262#14519760—21no—
263#14519760—21no—
264#14519759—21no—
265#14519759—21no—
266#14519758—21no—
267#14519758—21no—
268#14519758—21no—
269#14519758—21no—
270#14519757C2311yescharacteristic
271#14519757C2311yescharacteristic
272#14519756—21no—
273#14519756—21no—
274#14519756C2311yescharacteristic
275#14519756C2311yescharacteristic
276#14519755—21no—
277#14519755—21no—
278#14519754—21no—
279#14519754—21no—
280#14519749—21no—
281#14519749—21no—
282#14519748—21no—
283#14519748—21no—
284#14519748C2311yescharacteristic
285#14519748C2311yescharacteristic
286#14519745—21no—
287#14519745—21no—
288Q8×Dic61C2311yescharacteristic
289Q8×Dic61C2311yescharacteristic
290C4×Dic122—21no—
291C4×Dic122—21no—
292C4×Dic122C2311yescharacteristic
293C4×Dic122C2311yescharacteristic
294C4×Dic122C2311yescharacteristic
295C4×Dic122C2311yescharacteristic
296#14519742—21no—
297#14519742—21no—
298#14519742—21no—
299#14519742—21no—
300#14519742C2311yescharacteristic
301#14519742C2311yescharacteristic
302#14519742C2311yescharacteristic
303#14519742C2311yescharacteristic
304C4×D244—21no—
305C4×D244—21no—
306C4×D244C2311yescharacteristic
307C4×D244C2311yescharacteristic
308D4×Dic61—21no—
309D4×Dic61—21no—
310D4×Dic61—21no—
311D4×Dic61—21no—
312D4×Dic61—21no—
313D4×Dic61—21no—
314D4×Dic61C2311yescharacteristic
315D4×Dic61C2311yescharacteristic
316D4×Dic61C2311yescharacteristic
317D4×Dic61C2311yescharacteristic
318#14519739—21no—
319#14519739—21no—
320#14519739C2311yescharacteristic
321#14519739C2311yescharacteristic
322C4×C22⋊D61—21no—
323C4×C22⋊D61—21no—
324C4×C22⋊D61—21no—
325C4×C22⋊D61—21no—
326C4×C22⋊D61—21no—
327C4×C22⋊D61—21no—
328C4×C22⋊D61—21no—
329C4×C22⋊D61—21no—
330#14519737—21no—
331#14519737—21no—
332#14519737—21no—
333#14519737—21no—
334#14519737—21no—
335#14519737—21no—
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519736—21no—
341#14519736C2311yescharacteristic
342#14519735—21no—
343#14519735—21no—
344#14519735D411yescharacteristic
345#14519735D411yescharacteristic
346#14519735C2311yescharacteristic
347#14519735C2311yescharacteristic
348#14519734—21no—
349#14519734—21no—
350#14519734C2311yescharacteristic
351#14519734C2311yescharacteristic
352#14519733—21no—
353#14519733—21no—
354#14519733—21no—
355#14519733—21no—
356#14519733D411yescharacteristic
357#14519733D411yescharacteristic
358C2×C4⋊Dic61—21no—
359C2×C4⋊Dic61C2311yescharacteristic
360C2×#11758196—21no—
361C2×#11758196—21no—
362C2×#11758196—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61D411yescharacteristic
372C4⋊C4×D61D411yescharacteristic
373C4⋊C4×D61C2311yescharacteristic
374C4⋊C4×D61C2311yescharacteristic
375C4⋊C4×D61C2311yescharacteristic
376C4⋊C4×D61C2311yescharacteristic
377C22⋊C4×D61—21no—
378C22⋊C4×D61—21no—
379C22⋊C4×D61D411yescharacteristic
380C22⋊C4×D61D411yescharacteristic
381C2×C4×Dic61—21no—
382C2×C4×Dic61—21no—
383C42×D61—21no—
384C42×D61—21no—
385C42×D61C2311yescharacteristic
386C42×D61C2311yescharacteristic
387#14519711C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519710C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519709C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429C22⋊#92418C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519688C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438C4×#92418C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446#127×C61C2311yescharacteristic
447#125×C61C2311yescharacteristic
448#123×C61—21no—
449#123×C61—21no—
450#121×C61—21no—
451#121×C61—21no—
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×D4×C61—21no—
457C4×D4×C61—21no—
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462#117×C61—21no—
463#117×C61C2311yescharacteristic
464C2×C4⋊C4×C61—21no—
465C2×C4⋊C4×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61C2×D411yescharacteristic
486#41×C61—22no—
487#41×C61—22no—
488C2×Q8×C61C2411yescharacteristic
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61C2411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61C2411yescharacteristic
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61C2×D411yescharacteristic
520#11758226—22no—
521#11758226—22no—
522Q8×D61—22no—
523Q8×D61#4114yes—
524#11758224—28no—
525#11758224—22no—
526#11758224—22no—
527#11758224—22no—
528#11758224—22no—
529#11758224—22no—
530#11758224—22no—
531D4×D61—28no—
532D4×D61—22no—
533D4×D61#4114yes—
534#11758222—28no—
535#11758222—22no—
536#11758222—22no—
537C2×D244—21no—
538C2×D244C2411yescharacteristic
539C2×C4×D61—28no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—22no—
544C2×C4×D61—22no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61—21no—
549C2×C4×D61—21no—
550C2×C4×D61—21no—
551C2×C4×D61—21no—
552C2×C4×D61—21no—
553C2×C4×D61—82no—
554C2×C4×D61—82no—
555C2×C4×D61—82no—
556C2×C4×D61C2×D411yescharacteristic
557C2×C4×D61C2×D411yescharacteristic
558C2×C4×D61C2×D411yescharacteristic
559C2×C4×D61C2×D411yescharacteristic
560C2×C4×D61C2×D411yescharacteristic
561C2×C4×D61C2×D411yescharacteristic
562C2×C4×D61C2411yescharacteristic
563C2×C4×D61C2411yescharacteristic
564C2×Dic122—21no—
565C2×Dic122—21no—
566C2×Dic122—21no—
567C2×Dic122C2411yescharacteristic
568C2×Dic122C2411yescharacteristic
569C2×Dic122C2411yescharacteristic
570SD16×C61—22no—
571SD16×C61—22no—
572D8×C61—22no—
573D8×C61—22no—
574C2×C8×C61C2411yescharacteristic
575C2×C8×C61C2411yescharacteristic
576C2×C8×C61C2411yescharacteristic
577C2×C8×C61C2411yescharacteristic
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61C2×D411yescharacteristic
584C4⋊C4×C61C2×D411yescharacteristic
585C4⋊C4×C61C2411yescharacteristic
586C4⋊C4×C61C2411yescharacteristic
587C4⋊C4×C61C2411yescharacteristic
588C4⋊C4×C61C2411yescharacteristic
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61C2×D411yescharacteristic
596C22⋊C4×C61C2×D411yescharacteristic
597C42×C61—21no—
598C42×C61—21no—
599C42×C61C2411yescharacteristic
600C42×C61C2411yescharacteristic
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61C2×D411yescharacteristic
614C22⋊Dic61C2×D411yescharacteristic
615#11758202—22no—
616#11758202—22no—
617#11758200—22no—
618#11758200—22no—
619#11758200—22no—
620#11758200—22no—
621#11758199—22no—
622#11758199—22no—
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
635C4⋊Dic61—21no—
636C4⋊Dic61—21no—
637C4⋊Dic61—21no—
638C4⋊Dic61—21no—
639C4⋊Dic61—21no—
640C4⋊Dic61—21no—
641C4⋊Dic61—21no—
642C4⋊Dic61C2×D411yescharacteristic
643C4⋊Dic61C2×D411yescharacteristic
644C4⋊Dic61C2411yescharacteristic
645C4⋊Dic61C2411yescharacteristic
646C4⋊Dic61C2411yescharacteristic
647C4⋊Dic61C2411yescharacteristic
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670C4×Dic61—21no—
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2×D411yescharacteristic
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C4×Dic61C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692Dic244—22no—
693Dic244—22no—
694#11758190—22no—
695#11758190—22no—
696#11758189—22no—
697#11758189—22no—
698#11758189—22no—
699#11758189—22no—
700C23×C61—21no—
701C23×C61—21no—
702C23×C61—21no—
703C23×C61C22×D411yescharacteristic
704C22×D61—21no—
705C22×D61—22no—
706C22×D61—24no—
707C22×D61—41no—
708C22×D61—41no—
709C22×D61—42no—
710C22×D61—42no—
711C22×D61C22×D411yescharacteristic
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61C2×#4112yes—
715D4×C61—24no—
716D4×C61—21no—
717D4×C61—21no—
718D4×C61—21no—
719D4×C61—21no—
720D4×C61—21no—
721D4×C61—81no—
722D4×C61—81no—
723D4×C61—81no—
724D4×C61—81no—
725D4×C61C2×#4112yes—
726C2×C4×C61—24no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—81no—
735C2×C4×C61—81no—
736C2×C4×C61—81no—
737C2×C4×C61—81no—
738C2×C4×C61—81no—
739C2×C4×C61C22×D411yescharacteristic
740C2×C4×C61C22×D411yescharacteristic
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C2511yescharacteristic
745C22⋊D61—24no—
746C22⋊D61—24no—
747C22⋊D61—24no—
748C22⋊D61—42no—
749C22⋊D61—42no—
750C22⋊D61—81no—
751C22⋊D61—81no—
752C2×Dic61—24no—
753C2×Dic61—21no—
754C2×Dic61—22no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—42no—
762C2×Dic61—42no—
763C2×Dic61—81no—
764C2×Dic61—81no—
765C2×Dic61—81no—
766C2×Dic61—81no—
767C2×Dic61—81no—
768C2×Dic61C22×D411yescharacteristic
769C2×Dic61C22×D411yescharacteristic
770C2×Dic61C22×D411yescharacteristic
771C2×Dic61C22×D411yescharacteristic
772C2×Dic61C22×D411yescharacteristic
773C2×Dic61C22×D411yescharacteristic
774D244—24no—
775D244—21no—
776D244C2×#4112yes—
777C4×D61—24no—
778C4×D61—24no—
779C4×D61—22no—
780C4×D61—24no—
781C4×D61—21no—
782C4×D61—21no—
783C4×D61—22no—
784C4×D61—41no—
785C4×D61—41no—
786C4×D61—41no—
787C4×D61—41no—
788C4×D61—42no—
789C4×D61—42no—
790C4×D61—81no—
791C4×D61—81no—
792C4×D61—81no—
793C4×D61—81no—
794C4×D61—81no—
795C4×D61—81no—
796C4×D61C2×#4112yes—
797C4×D61C2×#4112yes—
798Dic122—21no—
799Dic122—24no—
800Dic122—21no—
801Dic122—21no—
802Dic122—21no—
803Dic122—21no—
804Dic122—81no—
805Dic122—81no—
806Dic122C2×#4112yes—
807C8×C61—21no—
808C8×C61—21no—
809C8×C61—21no—
810C8×C61—21no—
811#92418—21no—
812#92418—21no—
813#92418—21no—
814#92418—21no—
815#60565—611nomaximal, Sylow
816C22×C61—21no—
817C22×C61—21no—
818C22×C61—21no—
819C22×C61—22no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61C23×D411yescharacteristic
829C2×D61—21no—
830C2×D61—21no—
831C2×D61—21no—
832C2×D61—21no—
833C2×D61—21no—
834C2×D61—22no—
835C2×D61—44no—
836C2×D61—48no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61#52512yes—
840C4×C61—21no—
841C4×C61—21no—
842C4×C61—21no—
843C4×C61—21no—
844C4×C61—22no—
845C4×C61—21no—
846C4×C61—41no—
847C4×C61—41no—
848C4×C61—41no—
849C4×C61—41no—
850C4×C61C22×#4111yescharacteristic
851C4×C61C22×#4111yescharacteristic
852Dic61—21no—
853Dic61—21no—
854Dic61—21no—
855Dic61—21no—
856Dic61—22no—
857Dic61—21no—
858Dic61—41no—
859Dic61—41no—
860Dic61—41no—
861Dic61—41no—
862Dic61—41no—
863Dic61—41no—
864Dic61#52512yes—
865#3455—611no—
866C2×#520—611no—
867#3125—611no—
868#3125—611no—
869#3125—611no—
870#3125—611no—
871#3124—611no—
872#3124—611no—
873#3124—611no—
874#3124—611no—
875#3120—611no—
876#3120—611no—
877#3120—611no—
878#3120—611no—
879#3119—611no—
880#3119—611no—
881#3119—611no—
882#3119D6111yescharacteristic, complemented
883#3092—611no—
884#3092—611no—
885#3078—611no—
886#3077—611no—
887#3037—611no—
888#3036—611no—
889#3005—611no—
890#3005—611no—
891C4×#137—611no—
892C4×#137—611no—
893C4×AGL(1,ℤ/8)—611no—
894C4×AGL(1,ℤ/8)—611no—
895#2921—611no—
896C2×C61—41no—
897C2×C61—42no—
898C2×C61—81no—
899C2×C61—81no—
900C2×C61C2×#52511yescharacteristic
901C2×C61#358511yescharacteristic
902C2×C61#358611yescharacteristic
903D61—22no—
904D61—41no—
905D61—42no—
906C22×#41—611no—
907C2×#137—611no—
908C2×#137—611no—
909C2×AGL(1,ℤ/8)—611no—
910C2×AGL(1,ℤ/8)—611no—
911#542—611no—
912#542—611no—
913#542—611no—
914#542—611no—
915#541—611no—
916#541—611no—
917#540—611no—
918#540C2×D6111yescharacteristic, complemented
919#539—1221no—
920#539—1221no—
921#538—1221no—
922#538—1221no—
923#533—611no—
924#532—611no—
925#529—1221no—
926#529—1221no—
927#529—1221no—
928#529—1221no—
929#525—611no—
930#525—611no—
931#520—611no—
932#520—611no—
933#520—611no—
934#520—611no—
935#520—611no—
936#520—611no—
937#520—611no—
938#520—1221no—
939#520—1221no—
940#520—1221no—
941#520—1221no—
942#520C2×D6111yescharacteristic
943C4×#41—611no—
944C4×#41—611no—
945C2×C4×Q8—611no—
946C2×C4×Q8—611no—
947C2×C4×D4—611no—
948C2×C4×D4—611no—
949C2×C4×D4—1221no—
950C2×C4×D4—1221no—
951C2×#117—611no—
952C2×#117—1221no—
953C22×C4⋊C4—611no—
954C22×C4⋊C4—1221no—
955#484—611no—
956#484—611no—
957#484—611no—
958#484—611no—
959#483—611no—
960#483—611no—
961#483—611no—
962#483—611no—
963#481—611no—
964#481—611no—
965#481—611no—
966#481C2×D6111yescharacteristic, complemented
967#480—611no—
968#480—611no—
969#480—611no—
970#480C2×D6111yescharacteristic, complemented
971#479—611no—
972#479—611no—
973#479—611no—
974#479C2×D6111yescharacteristic, complemented
975#478—611no—
976#478—611no—
977#478—611no—
978#478C2×D6111yescharacteristic, complemented
979#477—611no—
980#477—611no—
981#476—611no—
982#476—611no—
983#475—611no—
984#475—611no—
985#474—611no—
986#474—611no—
987#464—611no—
988#464—611no—
989#464—611no—
990#464—611no—
991#463—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#462—611no—
996#462—611no—
997#461—611no—
998#461—611no—
999#460—611no—
1000#460C2×D6111yescharacteristic, complemented
1001#459—611no—
1002#459C2×D6111yescharacteristic, complemented
1003#452—611no—
1004#452—611no—
1005#452—611no—
1006#452—611no—
1007#452—611no—
1008#452—611no—
1009#452—611no—
1010#452—611no—
1011#449—611no—
1012#449—611no—
1013#449—611no—
1014#449—611no—
1015#449—611no—
1016#449—611no—
1017#449C2×D6111yescharacteristic
1018#449C2×D6111yescharacteristic
1019#442—611no—
1020#442—611no—
1021#442—611no—
1022#442C2×D6111yescharacteristic, complemented
1023#441—611no—
1024#441—611no—
1025#441—611no—
1026#441—611no—
1027#440—611no—
1028#440—611no—
1029#440—611no—
1030#440—611no—
1031#440—611no—
1032#440—611no—
1033#440—611no—
1034#440C2×D6111yescharacteristic, complemented
1035C4×Q16—611no—
1036C4×Q16—611no—
1037C4×Q16—611no—
1038C4×Q16—611no—
1039C4×SD16—611no—
1040C4×SD16—611no—
1041C4×SD16—611no—
1042C4×SD16—611no—
1043C4×SD16—611no—
1044C4×SD16—611no—
1045C4×SD16—611no—
1046C4×SD16C2×D6111yescharacteristic, complemented
1047C4×D8—611no—
1048C4×D8—611no—
1049C4×D8—611no—
1050C4×D8C2×D6111yescharacteristic, complemented
1051#433—611no—
1052#433—611no—
1053#433—611no—
1054#433—611no—
1055#433—611no—
1056#433—611no—
1057#433—611no—
1058#433C2×D6111yescharacteristic, complemented
1059#428—611no—
1060#428—611no—
1061#428—611no—
1062#428—611no—
1063#423—611no—
1064#423—611no—
1065#419—611no—
1066#419—611no—
1067#418—611no—
1068#418—611no—
1069#417—611no—
1070#417—611no—
1071#417—611no—
1072#417—611no—
1073#407—611no—
1074#407—611no—
1075C4×M16—611no—
1076C4×M16—611no—
1077C61#6056511yescharacteristic, complemented, Sylow
1078C2×#41—611no—
1079C2×#41—611no—
1080C2×#41—611no—
1081C2×#41—611no—
1082C2×#41—611no—
1083C2×#41—1221no—
1084C2×#41—1221no—
1085C2×#41—1224no—
1086C2×#41—1224no—
1087C2×#41C22×D6111yescharacteristic
1088C22×Q8—611no—
1089C22×D4—611no—
1090C22×D4—1221no—
1091C23×C4—611no—
1092C23×C4—1221no—
1093C23×C4—1221no—
1094C23×C4—1221no—
1095C23×C4—1221no—
1096#137—1224no—
1097#137—1224no—
1098AGL(1,ℤ/8)—1224no—
1099AGL(1,ℤ/8)—1224no—
1100C2×Q16—611no—
1101C2×Q16—611no—
1102C2×Q16—611no—
1103C2×Q16—611no—
1104C2×SD16—611no—
1105C2×SD16—611no—
1106C2×SD16—611no—
1107C2×SD16—611no—
1108C2×SD16—611no—
1109C2×SD16—611no—
1110C2×SD16C22×D6111yescharacteristic
1111C2×SD16C22×D6111yescharacteristic
1112C2×D8—611no—
1113C2×D8—611no—
1114C2×D8C22×D6111yescharacteristic
1115C2×D8C22×D6111yescharacteristic
1116C2×M16—611no—
1117C2×M16—611no—
1118C2×M16—611no—
1119C2×M16—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—611no—
1123#127C22×D6111yescharacteristic
1124#126—1221no—
1125#126—1221no—
1126#126—1221no—
1127#126—1221no—
1128#126—1221no—
1129#126—1221no—
1130#126—1221no—
1131#126—1221no—
1132#125—611no—
1133#125—1221no—
1134#125—1221no—
1135#125—1221no—
1136#125—1221no—
1137#125C22×D6111yescharacteristic
1138#124—611no—
1139#124—611no—
1140#124—1221no—
1141#124—1221no—
1142#124—1221no—
1143#124—1221no—
1144#123—21no—
1145#123—21no—
1146#123—1221no—
1147#123—1221no—
1148#123—1221no—
1149#123—1221no—
1150#123—1221no—
1151#123—1221no—
1152#123—1221no—
1153#123—1221no—
1154C22⋊Q8—611no—
1155C22⋊Q8—611no—
1156C22⋊Q8—611no—
1157C22⋊Q8—611no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161C22⋊Q8—1221no—
1162C22⋊Q8—1221no—
1163C22⋊Q8—1221no—
1164#121—21no—
1165#121—21no—
1166#121—611no—
1167#121—611no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121C22×D6111yescharacteristic
1173#121C22×D6111yescharacteristic
1174#120—1221no—
1175#120—1221no—
1176C4×Q8—611no—
1177C4×Q8—611no—
1178C4×Q8—611no—
1179C4×Q8—611no—
1180C4×Q8—611no—
1181C4×Q8—611no—
1182C4×Q8—611no—
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—1221no—
1187C4×Q8—1221no—
1188C4×Q8—1221no—
1189C4×Q8—1221no—
1190C4×Q8—1221no—
1191C4×Q8—1221no—
1192C4×Q8C22×D6111yescharacteristic
1193C4×Q8C22×D6111yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—611no—
1197C4×D4—611no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4—1221no—
1228C4×D4—1221no—
1229C4×D4—1221no—
1230C4×D4—1221no—
1231C4×D4—1221no—
1232C4×D4C22×D6111yescharacteristic
1233C4×D4C22×D6111yescharacteristic
1234C4×D4C22×D6111yescharacteristic
1235C4×D4C22×D6111yescharacteristic
1236#117—21no—
1237#117—611no—
1238#117—611no—
1239#117—611no—
1240#117—611no—
1241#117—611no—
1242#117—611no—
1243#117—611no—
1244#117—611no—
1245#117—611no—
1246#117—1221no—
1247#117—1221no—
1248#117—1221no—
1249#117—1221no—
1250#117—1221no—
1251#117—1221no—
1252#117—1221no—
1253#117—1221no—
1254#117—1221no—
1255#117C22×D6111yescharacteristic
1256C2×C4⋊C4—21no—
1257C2×C4⋊C4—611no—
1258C2×C4⋊C4—611no—
1259C2×C4⋊C4—611no—
1260C2×C4⋊C4—611no—
1261C2×C4⋊C4—611no—
1262C2×C4⋊C4—611no—
1263C2×C4⋊C4—611no—
1264C2×C4⋊C4—1221no—
1265C2×C4⋊C4—1221no—
1266C2×C4⋊C4—1221no—
1267C2×C4⋊C4—1221no—
1268C2×C4⋊C4—1221no—
1269C2×C4⋊C4—1221no—
1270C2×C4⋊C4—1221no—
1271C2×C4⋊C4—1221no—
1272C2×C4⋊C4—1221no—
1273C2×C4⋊C4—1221no—
1274C2×C4⋊C4—1221no—
1275C2×C4⋊C4—1221no—
1276C2×C4⋊C4C22×D6111yescharacteristic
1277C2×C22⋊C4—611no—
1278C2×C22⋊C4—611no—
1279C2×C22⋊C4—1221no—
1280C2×C22⋊C4—1221no—
1281C2×C42—611no—
1282C2×C42—611no—
1283C2×C42—1221no—
1284C2×C42—1221no—
1285C2×C42—1221no—
1286C2×C42—1221no—
1287#107—611no—
1288#107—611no—
1289#107—611no—
1290#107—611no—
1291#107—611no—
1292#107—611no—
1293#107C22×D6111yescharacteristic
1294#107C22×D6111yescharacteristic
1295#106—611no—
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106—611no—
1300#106—611no—
1301#106C22×D6111yescharacteristic
1302#106C22×D6111yescharacteristic
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8—611no—
1308C4⋊C8—611no—
1309C4⋊C8C22×D6111yescharacteristic
1310C4⋊C8C22×D6111yescharacteristic
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103—611no—
1323#103—611no—
1324#103—611no—
1325#103C22×D6111yescharacteristic
1326#103C22×D6111yescharacteristic
1327#102—611no—
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#102C22×D6111yescharacteristic
1338#102C22×D6111yescharacteristic
1339#102C22×D6111yescharacteristic
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342#102C22×D6111yescharacteristic
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8—611no—
1347C22⋊C8—611no—
1348C22⋊C8—611no—
1349C22⋊C8C22×D6111yescharacteristic
1350C22⋊C8C22×D6111yescharacteristic
1351#97—611no—
1352#97—611no—
1353#97—611no—
1354#97C22×D6111yescharacteristic
1355C4×C8—611no—
1356C4×C8—611no—
1357C4×C8—611no—
1358C4×C8C22×D6111yescharacteristic
1359C24—611no—
1360C24—1221no—
1361#41—22no—
1362#41—22no—
1363#41—1222no—
1364#41—1222no—
1365#41—1228no—
1366#41—1222no—
1367#41—1222no—
1368#41—1222no—
1369#41—1222no—
1370#41—1222no—
1371#41—1228no—
1372#41—1222no—
1373#41—1222no—
1374#41—1222no—
1375C2×Q8—614no—
1376C2×Q8—611no—
1377C2×Q8—611no—
1378C2×Q8—611no—
1379C2×Q8—1221no—
1380C2×Q8—1221no—
1381C2×Q8—1221no—
1382C2×Q8—1222no—
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—614no—
1390C2×D4—611no—
1391C2×D4—1221no—
1392C2×D4—1222no—
1393C2×D4—1221no—
1394C2×D4—1228no—
1395C2×D4—1221no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4C23×D6111yescharacteristic
1402C2×D4C23×D6111yescharacteristic
1403C2×D4C23×D6111yescharacteristic
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—611no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—611no—
1415C22×C4—611no—
1416C22×C4—611no—
1417C22×C4—611no—
1418C22×C4—611no—
1419C22×C4—1221no—
1420C22×C4—1222no—
1421C22×C4—1222no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4—1221no—
1425C22×C4—1228no—
1426C22×C4—1221no—
1427C22×C4—1221no—
1428C22×C4—1221no—
1429C22×C4—1221no—
1430C22×C4—1221no—
1431C22×C4—1221no—
1432C22×C4—1221no—
1433C22×C4—1221no—
1434C22×C4—1221no—
1435C22×C4—1221no—
1436C22×C4—1221no—
1437C22×C4—1221no—
1438C22×C4—1221no—
1439C22×C4—1221no—
1440C22×C4—1221no—
1441C22×C4—4882no—
1442C22×C4—4882no—
1443C22×C4—4882no—
1444C22×C4C23×D6111yescharacteristic
1445Q16—1222no—
1446Q16—1222no—
1447Q16—1222no—
1448Q16—1222no—
1449SD16—22no—
1450SD16—22no—
1451SD16—1222no—
1452SD16—1222no—
1453SD16—1222no—
1454SD16—1222no—
1455SD16—1222no—
1456SD16—1222no—
1457D8—22no—
1458D8—22no—
1459D8—1222no—
1460D8—1222no—
1461M16—1222no—
1462M16—1222no—
1463M16—1222no—
1464M16—1222no—
1465C2×C8—611no—
1466C2×C8—611no—
1467C2×C8—611no—
1468C2×C8—611no—
1469C2×C8C23×D6111yescharacteristic
1470C2×C8C23×D6111yescharacteristic
1471C2×C8C23×D6111yescharacteristic
1472C2×C8C23×D6111yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
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—611no—
1487C4⋊C4—611no—
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⋊C4—1221no—
1509C4⋊C4—1221no—
1510C4⋊C4—1221no—
1511C4⋊C4—1221no—
1512C4⋊C4—1221no—
1513C4⋊C4D4×D6111yescharacteristic
1514C4⋊C4D4×D6111yescharacteristic
1515C4⋊C4C23×D6111yescharacteristic
1516C4⋊C4C23×D6111yescharacteristic
1517C4⋊C4C23×D6111yescharacteristic
1518C4⋊C4C23×D6111yescharacteristic
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—611no—
1526C22⋊C4—611no—
1527C22⋊C4—611no—
1528C22⋊C4—611no—
1529C22⋊C4—611no—
1530C22⋊C4—611no—
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⋊C4D4×D6111yescharacteristic
1552C22⋊C4D4×D6111yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—611no—
1556C42—611no—
1557C42—611no—
1558C42—611no—
1559C42—611no—
1560C42—611no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42—1221no—
1570C42—1221no—
1571C42—1221no—
1572C42—1221no—
1573C42C23×D6111yescharacteristic
1574C42C23×D6111yescharacteristic
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—611no—
1579C23—611no—
1580C23—1224no—
1581C23—1222no—
1582C23—1221no—
1583C23—2441no—
1584C23—2441no—
1585C23—2442no—
1586C23—2442no—
1587C23C2×D4×D6111yescharacteristic
1588Q8—21no—
1589Q8—612no—
1590Q8—1224no—
1591Q8—1221no—
1592Q8—1221no—
1593Q8—1221no—
1594Q8—1221no—
1595Q8—1221no—
1596Q8—4881no—
1597Q8—4881no—
1598Q8#41×D6112yes—
1599D4—24no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—612no—
1610D4—1224no—
1611D4—1224no—
1612D4—1224no—
1613D4—1224no—
1614D4—1221no—
1615D4—4881no—
1616D4—4881no—
1617D4—2442no—
1618D4—2442no—
1619D4#41×D6112yes—
1620C2×C4—24no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—611no—
1634C2×C4—612no—
1635C2×C4—612no—
1636C2×C4—611no—
1637C2×C4—611no—
1638C2×C4—611no—
1639C2×C4—611no—
1640C2×C4—611no—
1641C2×C4—1222no—
1642C2×C4—1222no—
1643C2×C4—1224no—
1644C2×C4—1224no—
1645C2×C4—1224no—
1646C2×C4—1222no—
1647C2×C4—1224no—
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—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—4881no—
1662C2×C4—4881no—
1663C2×C4—4881no—
1664C2×C4—4881no—
1665C2×C4—4881no—
1666C2×C4—4881no—
1667C2×C4—4881no—
1668C2×C4—2441no—
1669C2×C4—2441no—
1670C2×C4—2441no—
1671C2×C4—2441no—
1672C2×C4—2442no—
1673C2×C4—2442no—
1674C2×C4—2442no—
1675C2×C4—2442no—
1676C2×C4C2×D4×D6111yescharacteristic
1677C2×C4C2×D4×D6111yescharacteristic
1678C2×C4C2×D4×D6111yescharacteristic
1679C2×C4C2×D4×D6111yescharacteristic
1680C2×C4C2×D4×D6111yescharacteristic
1681C2×C4C24×D6111yescharacteristic
1682C8—21no—
1683C8—21no—
1684C8—21no—
1685C8—21no—
1686C8—1221no—
1687C8—1221no—
1688C8—1221no—
1689C8—1221no—
1690C22—21no—
1691C22—22no—
1692C22—21no—
1693C22—21no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—612no—
1703C22—1221no—
1704C22—1221no—
1705C22—1222no—
1706C22—1221no—
1707C22—1221no—
1708C22—1221no—
1709C22—2444no—
1710C22—2448no—
1711C22—2441no—
1712C22—2441no—
1713C22C22×D4×D6111yescharacteristic
1714C4—21no—
1715C4—22no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—21no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—612no—
1725C4—1221no—
1726C4—1222no—
1727C4—1221no—
1728C4—1221no—
1729C4—1221no—
1730C4—1221no—
1731C4—2441no—
1732C4—2441no—
1733C4—2441no—
1734C4—2441no—
1735C4—2441no—
1736C4—2441no—
1737C4C2×#41×D6111yescharacteristic
1738C4C2×#41×D6111yescharacteristic
1739C2—41no—
1740C2—42no—
1741C2—81no—
1742C2—81no—
1743C2—1222no—
1744C2—2441no—
1745C2—2442no—
1746C2#525×D6111yescharacteristic
1747C2#2146059411yescharacteristic
1748C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3119C2
socleC22×C61C23×D4
hypercenter#3119D61
hypocenterC61#60565
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3119

Complements

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

NH ≅ G/Ntype
1. #21459203C2semidirect
2. #520×D61C2semidirect
3. #21456102C2semidirect
4. #21456100C2semidirect
5. #21456099C2semidirect
6. #21456097C2semidirect
7. #21456079C2semidirect
8. #21456077C2semidirect
9. #21456076C2semidirect
10. #21456074C2semidirect
11. #21456040C2semidirect
12. #21456038C2semidirect
13. #21456035C2semidirect
14. #21456033C2semidirect
15. #21456017C2semidirect
16. #21456015C2semidirect
17. #21456012C2semidirect
18. #21455741C2semidirect
19. #21455738C2semidirect
20. #21455622C2semidirect
21. #21455614C2semidirect
22. #21455286C2semidirect
23. #21455278C2semidirect
24. #21455057C2semidirect
25. #21455057C2semidirect
26. #21454641C2semidirect
27. C4×#14519806C2semidirect
28. #21454630C2semidirect
29. C4×#14519801C2semidirect
30. #21454453C2semidirect
31. C61×#3119C2semidirect
37. #16840379C22semidirect
38. #16840379C22semidirect
39. #16840377C22semidirect
40. #16840377C22semidirect
41. #16840375C22semidirect
42. #16840374C22semidirect
43. #16840366C22semidirect
79. #16840099C22semidirect
80. #16840099C22semidirect
81. #16840098C22semidirect
82. #16840097C22semidirect
83. #16840094C22semidirect
84. #16840094C22semidirect
85. #16840093C22semidirect
86. #16840092C22semidirect
87. #16840079C22semidirect
88. #16840079C22semidirect
89. #16840078C22semidirect
90. #16840074C22semidirect
91. #16840074C22semidirect
92. #16840073C22semidirect
93. #16840070C22semidirect
94. #16840069C22semidirect
95. #16840066C22semidirect
96. #16840063C22semidirect
97. #16840062C22semidirect
98. #16840059C22semidirect
99. #16840056C22semidirect
100. #16840055C22semidirect
101. #16840051C22semidirect
102. #16840050C22semidirect
103. #16840046C22semidirect
104. #16840045C22semidirect
105. #16840041C22semidirect
106. #16840040C22semidirect
107. #16839983C22semidirect
108. #16839983C22semidirect
109. #16839982C22semidirect
110. #16839982C22semidirect
111. #16839976C22semidirect
112. #16839976C22semidirect
113. #16839975C22semidirect
114. #16839975C22semidirect
115. #16839973C22semidirect
116. #16839972C22semidirect
117. #16839968C22semidirect
118. #16839967C22semidirect
119. #16839959C22semidirect
120. #16839954C22semidirect
135. #16839874C22semidirect
136. #16839872C22semidirect
137. #16839871C22semidirect
138. #16839870C22semidirect
139. #16839868C22semidirect
140. #16839867C22semidirect
141. #16839866C22semidirect
142. #16839864C22semidirect
143. #16839863C22semidirect
144. #16839862C22semidirect
145. #16839862C22semidirect
146. #16839861C22semidirect
147. #16839859C22semidirect
148. #16839859C22semidirect
149. C4×Dic244C22semidirect
150. #16839856C22semidirect
151. C4×#11758202C22semidirect
152. #16839854C22semidirect
153. #16839853C22semidirect
154. #16839853C22semidirect
155. C4×#11758190C22semidirect
156. SD16×Dic61C22semidirect
157. #16839849C22semidirect
158. C4×#11758200C22semidirect
159. C4×#11758200C22semidirect
160. D8×Dic61C22semidirect
161. C4×#11758199C22semidirect
162. #16839842C22semidirect
163. #16839824C22semidirect
164. #16839823C22semidirect
165. #16839822C22semidirect
166. #16839822C22semidirect
167. #16839821C22semidirect
168. #16839820C22semidirect
169. #16839820C22semidirect
188. C61×#540C22semidirect
190. C61×#481C22semidirect
191. C61×#480C22semidirect
192. C61×#479C22semidirect
193. C61×#478C22semidirect
194. C61×#460C22semidirect
195. C61×#459C22semidirect
198. C61×#442C22semidirect
199. C61×#440C22semidirect
200. C4×SD16×C61C22semidirect
201. C4×D8×C61C22semidirect
202. C61×#433C22semidirect
882. #3119D61semidirect
918. #540C2×D61semidirect
966. #481C2×D61semidirect
970. #480C2×D61semidirect
974. #479C2×D61semidirect
978. #478C2×D61semidirect
1000. #460C2×D61semidirect
1002. #459C2×D61semidirect
1022. #442C2×D61semidirect
1034. #440C2×D61semidirect
1046. C4×SD16C2×D61semidirect
1050. C4×D8C2×D61semidirect
1058. #433C2×D61semidirect
1077. C61#60565semidirect

Maximal subgroups

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

subgroupindex
#214592032
#520×D612
#214561022
#214561002
#214560992
#214560972
#214560792
#214560772
#214560762
#214560742
#214560402
#214560382
#214560352
#214560332
#214560172
#214560152
#214560122
#214557412
#214557382
#214556222
#214556142
#214552862
#214552782
#214550572
#214546412
C4×#145198062
#214546302
C4×#145198012
#214544532
C61×#31192
#6056561