Finite Group Databasebeta

← #30557139

Subgroups — #30557139

Order 15616.

2124 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D61C211yesmaximal, characteristic, complemented
2#21459309C211yesmaximal, characteristic
3#21458088C211yesmaximal, characteristic, complemented
4#21458080C211yesmaximal, characteristic, complemented
5#21458038C211yesmaximal, characteristic, complemented
6#21458030C211yesmaximal, characteristic, complemented
7#21457945C211yesmaximal, characteristic, complemented
8#21457917C211yesmaximal, characteristic, complemented
9#21457909C211yesmaximal, characteristic, complemented
10#21457875C211yesmaximal, characteristic, complemented
11#21457867C211yesmaximal, characteristic, complemented
12#21457847C211yesmaximal, characteristic, complemented
13#21457839C211yesmaximal, characteristic, complemented
14#21457707C211yesmaximal, characteristic, complemented
15#21457699C211yesmaximal, characteristic, complemented
16#21457657C211yesmaximal, characteristic, complemented
17#21457649C211yesmaximal, characteristic, complemented
18#21456218C211yesmaximal, characteristic, complemented
19#21455747C211yesmaximal, characteristic, complemented
20#21455741C211yesmaximal, characteristic, complemented
21#21455638C211yesmaximal, characteristic, complemented
22#21455444C211yesmaximal, characteristic, complemented
23#21455442C211yesmaximal, characteristic, complemented
24#21455286C211yesmaximal, characteristic, complemented
25#21455076C211yesmaximal, characteristic, complemented
26#21455076C211yesmaximal, characteristic, complemented
27#21454635C211yesmaximal, characteristic, complemented
28#21454552C211yesmaximal, characteristic, complemented
29#21454334C211yesmaximal, characteristic, complemented
30#417×D61C211yesmaximal, characteristic, complemented
31C61×#3317C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519809C2211yescharacteristic
35C2×#14519806C2211yescharacteristic, complemented
36C2×#14519806C2211yescharacteristic, complemented
37C22×#11758189C2211yescharacteristic, complemented
38C2×M16×D61C2211yescharacteristic, complemented
39#16840454C2211yescharacteristic, complemented
40#16840453C2211yescharacteristic
41#16840452C2211yescharacteristic, complemented
42#16840451C2211yescharacteristic, complemented
43#16840450C2211yescharacteristic
44#16840449—21no—
45#16840448—21no—
46#16840447C2211yescharacteristic, complemented
47#16840446C2211yescharacteristic, complemented
48#16840445—21no—
49#16840444—21no—
50Q8×D244C2211yescharacteristic
51#16840419C2211yescharacteristic
52#16840419C2211yescharacteristic
53#16840417—21no—
54#16840417C2211yescharacteristic
55#16840409—21no—
56#16840409—21no—
57#16840409C2211yescharacteristic
58#16840409C2211yescharacteristic
59#16840397—21no—
60#16840397C2211yescharacteristic
61#16840310—21no—
62#16840310C2211yescharacteristic
63#126×D61—21no—
64#125×D61—21no—
65#125×D61C2211yescharacteristic, complemented
66#16840272—21no—
67#16840272—21no—
68#16840272C2211yescharacteristic
69#16840272C2211yescharacteristic
70#123×D61—21no—
71C22⋊Q8×D61C2211yescharacteristic, complemented
72C22⋊Q8×D61C2211yescharacteristic, complemented
73C4×#11758226C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic, complemented
75C4×D4×D61—21no—
76C4×D4×D61C2211yescharacteristic
77#117×D61—21no—
78#117×D61C2211yescharacteristic, complemented
79C2×C4⋊C4×D61C2211yescharacteristic, complemented
80#16840132C2211yescharacteristic, complemented
81#16840131C2211yescharacteristic, complemented
82#16840126C2211yescharacteristic, complemented
83#16840115C2211yescharacteristic, complemented
84#16840115C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840115C2211yescharacteristic, complemented
87#16840106C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840104C2211yescharacteristic, complemented
90#16840103C2211yescharacteristic, complemented
91#16840098C2211yescharacteristic, complemented
92#16840097C2211yescharacteristic, complemented
93#16840094C2211yescharacteristic, complemented
94#16840094C2211yescharacteristic, complemented
95#16840085C2211yescharacteristic, complemented
96#16840084C2211yescharacteristic, complemented
97#16840083C2211yescharacteristic, complemented
98#16840078C2211yescharacteristic, complemented
99#16840074C2211yescharacteristic, complemented
100#16840074C2211yescharacteristic, complemented
101#16840071C2211yescharacteristic, complemented
102#16840069C2211yescharacteristic, complemented
103#16840067C2211yescharacteristic, complemented
104#16840065C2211yescharacteristic, complemented
105#16840063C2211yescharacteristic, complemented
106#16840061C2211yescharacteristic, complemented
107#16840059C2211yescharacteristic, complemented
108#16840021C2211yescharacteristic, complemented
109#16840020C2211yescharacteristic, complemented
110#16840019C2211yescharacteristic, complemented
111#16840018C2211yescharacteristic, complemented
112#16840007C2211yescharacteristic, complemented
113#16840006C2211yescharacteristic, complemented
114#16840005C2211yescharacteristic, complemented
115#16840004C2211yescharacteristic, complemented
116#16840003C2211yescharacteristic, complemented
117#16840002C2211yescharacteristic, complemented
118#16840001C2211yescharacteristic, complemented
119#16839990C2211yescharacteristic, complemented
120#16839989C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839983C2211yescharacteristic, complemented
123#16839983C2211yescharacteristic, complemented
124#16839982C2211yescharacteristic, complemented
125#16839982C2211yescharacteristic, complemented
126#16839973C2211yescharacteristic, complemented
127#16839972C2211yescharacteristic, complemented
128#16839959C2211yescharacteristic, complemented
129#16839926C2211yescharacteristic, complemented
130#16839926C2211yescharacteristic, complemented
131#16839924C2211yescharacteristic, complemented
132#16839924C2211yescharacteristic, complemented
133#16839922C2211yescharacteristic, complemented
134#16839922C2211yescharacteristic, complemented
135#16839919C2211yescharacteristic, complemented
136#16839919C2211yescharacteristic, complemented
137#16839916C2211yescharacteristic, complemented
138#16839916C2211yescharacteristic, complemented
139#16839914C2211yescharacteristic, complemented
140#16839914C2211yescharacteristic, complemented
141#16839911C2211yescharacteristic, complemented
142#16839911C2211yescharacteristic, complemented
143#16839867C2211yescharacteristic, complemented
144#16839864C2211yescharacteristic, complemented
145#16839860C2211yescharacteristic, complemented
146Q16×Dic61C2211yescharacteristic, complemented
147#16839854C2211yescharacteristic, complemented
148#16839849C2211yescharacteristic, complemented
149#16839847C2211yescharacteristic, complemented
150#16839838C2211yescharacteristic, complemented
151#16839837C2211yescharacteristic, complemented
152#16839835C2211yescharacteristic
153#16839834C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic
155C8×C22⋊D61C2211yescharacteristic, complemented
156#16839825C2211yescharacteristic, complemented
157#16839803C2211yescharacteristic, complemented
158#16839801C2211yescharacteristic, complemented
159#16839801C2211yescharacteristic, complemented
160#16839784C2211yescharacteristic, complemented
161#16839769C2211yescharacteristic, complemented
162#16839769C2211yescharacteristic, complemented
163#16839769C2211yescharacteristic, complemented
164#16839765C2211yescharacteristic, complemented
165#16839765C2211yescharacteristic, complemented
166#16839764C2211yescharacteristic, complemented
167#16839763C2211yescharacteristic, complemented
168#16839762C2211yescharacteristic
169#16839762C2211yescharacteristic
170#16839762C2211yescharacteristic
171#16839761C2211yescharacteristic, complemented
172#16839760C2211yescharacteristic, complemented
173#16839760C2211yescharacteristic, complemented
174#16839760C2211yescharacteristic, complemented
175#16839760C2211yescharacteristic, complemented
176#16839760C2211yescharacteristic, complemented
177#16839760C2211yescharacteristic, complemented
178#16839759C2211yescharacteristic, complemented
179#16839758C2211yescharacteristic, complemented
180#16839756C2211yescharacteristic, complemented
181#103×D61C2211yescharacteristic, complemented
182#103×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic, complemented
185#16839724C2211yescharacteristic, complemented
186#16839724C2211yescharacteristic, complemented
187#16839714C2211yescharacteristic, complemented
188C61×#552C2211yescharacteristic, complemented
189C61×#550C2211yescharacteristic
190C61×#490C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#481C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic, complemented
199C61×#441C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222—21no—
206C2×#11758222C2311yescharacteristic
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209C2×#11758224—21no—
210C2×#11758224C2311yescharacteristic
211C2×#11758224C2311yescharacteristic
212#41×D61—24no—
213#41×D61—24no—
214#41×D61—42no—
215#41×D61—42no—
216C2×Q8×D61C2311yescharacteristic
217C2×Q8×D61C2311yescharacteristic
218C2×Q8×D61C2311yescharacteristic
219C2×D4×D61—21no—
220C2×D4×D61—21no—
221C2×D4×D61—21no—
222C2×D4×D61D411yescharacteristic
223C2×D4×D61C2311yescharacteristic
224C2×D4×D61C2311yescharacteristic
225C22×C4×D61—21no—
226C22×C4×D61—21no—
227C22×C4×D61—21no—
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230#14519809—24no—
231#14519806—42no—
232#14519806—42no—
233C2×Dic244C2311yescharacteristic
234C2×Dic244C2311yescharacteristic
235C2×#11758202C2311yescharacteristic
236C2×#11758202C2311yescharacteristic
237C2×#11758202C2311yescharacteristic
238C2×#11758190C2311yescharacteristic
239C2×#11758200C2311yescharacteristic
240C2×#11758200C2311yescharacteristic
241C2×#11758201C2311yescharacteristic
242C2×#11758194C2311yescharacteristic
243C2×#11758189—42no—
244C2×#11758189C2311yescharacteristic
245C2×#11758189C2311yescharacteristic
246C2×#11758189C2311yescharacteristic
247C2×#11758189C2311yescharacteristic
248C2×#11758189C2311yescharacteristic
249C2×#11758189C2311yescharacteristic
250M16×D61—42no—
251C22×#92418C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic
254#14519777—21no—
255#14519777C2311yescharacteristic
256#14519772—21no—
257#14519772—21no—
258#14519772—21no—
259#14519771—21no—
260#14519770—21no—
261#14519770—21no—
262#14519770—21no—
263#14519769—21no—
264#14519769C2311yescharacteristic
265#14519768—21no—
266#14519768—21no—
267#14519768C2311yescharacteristic
268#14519768C2311yescharacteristic
269#14519767—21no—
270#14519767—21no—
271#14519767—21no—
272#14519767—21no—
273#14519767—21no—
274#14519767—21no—
275#14519764—21no—
276#14519764—21no—
277#14519764C2311yescharacteristic
278#14519764C2311yescharacteristic
279#14519762—21no—
280#14519762—21no—
281#14519761—21no—
282#14519760—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759—21no—
288#14519759—21no—
289#14519759—21no—
290#14519759—21no—
291#14519758—21no—
292#14519757—21no—
293#14519757—21no—
294#14519757C2311yescharacteristic
295#14519757C2311yescharacteristic
296#14519757C2311yescharacteristic
297#14519757C2311yescharacteristic
298#14519756—21no—
299#14519756—21no—
300#14519756C2311yescharacteristic
301#14519756C2311yescharacteristic
302#14519756C2311yescharacteristic
303#14519756C2311yescharacteristic
304#14519755—21no—
305#14519755—21no—
306#14519754—21no—
307#14519754—21no—
308#14519753C2311yescharacteristic
309#14519753C2311yescharacteristic
310#14519748—21no—
311#14519748—21no—
312#14519748—21no—
313#14519748—21no—
314#14519748—21no—
315#14519748—21no—
316#14519748—21no—
317#14519748—21no—
318#14519748C2311yescharacteristic
319#14519748C2311yescharacteristic
320#14519745—21no—
321#14519745—21no—
322#14519745—21no—
323#14519745—21no—
324#14519745—21no—
325#14519745—21no—
326Q8×Dic61C2311yescharacteristic
327Q8×Dic61C2311yescharacteristic
328C4×Dic122—21no—
329C4×Dic122C2311yescharacteristic
330#14519742—21no—
331#14519742C2311yescharacteristic
332C4×D244—21no—
333C4×D244—21no—
334C4×D244C2311yescharacteristic
335C4×D244C2311yescharacteristic
336D4×Dic61—21no—
337D4×Dic61—21no—
338D4×Dic61—21no—
339D4×Dic61—21no—
340D4×Dic61D411yescharacteristic
341#14519739—21no—
342#14519739D411yescharacteristic
343#14519739C2311yescharacteristic
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61C2311yescharacteristic
347C4×C22⋊D61C2311yescharacteristic
348#14519737—21no—
349#14519737—21no—
350#14519737D411yescharacteristic
351#14519737D411yescharacteristic
352#14519736—21no—
353#14519736C2311yescharacteristic
354#14519735—21no—
355#14519735—21no—
356#14519735—21no—
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519735C2311yescharacteristic
360#14519734—21no—
361#14519734—21no—
362#14519734—21no—
363#14519733—21no—
364#14519733—21no—
365#14519733—21no—
366C2×C4⋊Dic61C2311yescharacteristic
367C2×#11758196—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61—21no—
374C4⋊C4×D61—21no—
375C4⋊C4×D61—21no—
376C4⋊C4×D61D411yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C4⋊C4×D61C2311yescharacteristic
379C4⋊C4×D61C2311yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic
382C22⋊C4×D61—21no—
383C22⋊C4×D61—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61D411yescharacteristic
388C22⋊C4×D61D411yescharacteristic
389C42×D61—21no—
390C42×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442C8×Dic61C2311yescharacteristic
443C8×Dic61C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C2×#41×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451#127×C61—21no—
452#127×C61C2311yescharacteristic
453#126×C61—21no—
454#125×C61—21no—
455#125×C61C2311yescharacteristic
456#123×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459#121×C61—21no—
460#121×C61—21no—
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×Q8×C61C2311yescharacteristic
465C4×D4×C61—21no—
466C4×D4×C61C2311yescharacteristic
467#117×C61—21no—
468#117×C61C2311yescharacteristic
469C2×C4⋊C4×C61C2311yescharacteristic
470#107×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487C23×D61—21no—
488C23×D61—21no—
489C23×D61C2×D411yescharacteristic
490C23×D61C2×D411yescharacteristic
491#41×C61—22no—
492#41×C61—22no—
493#41×C61—41no—
494#41×C61—41no—
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61C2×D411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61C2411yescharacteristic
510C22×C4×C61C2411yescharacteristic
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61C2×D411yescharacteristic
520C2×C22⋊D61C2×D411yescharacteristic
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61C2×D411yescharacteristic
525C22×Dic61C2×D411yescharacteristic
526#11758226—22no—
527#11758226#4114yes—
528Q8×D61—22no—
529Q8×D61—22no—
530Q8×D61—22no—
531Q8×D61—22no—
532Q8×D61—41no—
533Q8×D61—41no—
534#11758224—22no—
535#11758224—22no—
536#11758224—22no—
537#11758224—22no—
538#11758224—44no—
539#11758224—44no—
540D4×D61—22no—
541D4×D61—22no—
542D4×D61—41no—
543D4×D61—41no—
544D4×D61—42no—
545D4×D61—44no—
546D4×D61—44no—
547D4×D61—44no—
548#11758222—22no—
549#11758222—22no—
550#11758222—41no—
551#11758222—41no—
552#11758222—44no—
553#11758222—44no—
554C2×D244—21no—
555C2×D244C2×D411yescharacteristic
556C2×D244C2411yescharacteristic
557C2×C4×D61—21no—
558C2×C4×D61—22no—
559C2×C4×D61—22no—
560C2×C4×D61—22no—
561C2×C4×D61—22no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
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×D61—21no—
572C2×C4×D61—21no—
573C2×C4×D61—21no—
574C2×C4×D61—44no—
575C2×C4×D61—44no—
576C2×C4×D61—44no—
577C2×C4×D61C2×D411yescharacteristic
578C2×C4×D61C2×D411yescharacteristic
579C2×C4×D61C2×D411yescharacteristic
580C2×C4×D61C2×D411yescharacteristic
581C2×C4×D61C2×D411yescharacteristic
582C2×C4×D61C2×D411yescharacteristic
583C2×C4×D61C2411yescharacteristic
584C2×C4×D61C2411yescharacteristic
585C2×C4×D61C2411yescharacteristic
586C2×Dic122—21no—
587C2×Dic122—21no—
588C2×Dic122—21no—
589C2×Dic122C2411yescharacteristic
590C2×Dic122C2411yescharacteristic
591C2×Dic122C2411yescharacteristic
592Q16×C61—22no—
593SD16×C61—41no—
594SD16×C61—41no—
595M16×C61—41no—
596C2×C8×C61—41no—
597C2×C8×C61C2411yescharacteristic
598C2×C8×C61C2411yescharacteristic
599C2×C8×C61C2411yescharacteristic
600C2×C8×C61C2411yescharacteristic
601C4⋊C4×C61—21no—
602C4⋊C4×C61—21no—
603C4⋊C4×C61—21no—
604C4⋊C4×C61—21no—
605C4⋊C4×C61—21no—
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61C2×D411yescharacteristic
609C4⋊C4×C61C2411yescharacteristic
610C4⋊C4×C61C2411yescharacteristic
611C4⋊C4×C61C2411yescharacteristic
612C4⋊C4×C61C2411yescharacteristic
613C22⋊C4×C61—21no—
614C22⋊C4×C61—21no—
615C22⋊C4×C61—21no—
616C22⋊C4×C61—21no—
617C22⋊C4×C61—21no—
618C22⋊C4×C61C2×D411yescharacteristic
619C22⋊C4×C61C2×D411yescharacteristic
620C42×C61—21no—
621C42×C61—21no—
622C42×C61—21no—
623C42×C61C2411yescharacteristic
624C22⋊Dic61—21no—
625C22⋊Dic61—21no—
626C22⋊Dic61—21no—
627C22⋊Dic61—21no—
628C22⋊Dic61—21no—
629C22⋊Dic61—21no—
630C22⋊Dic61—21no—
631C22⋊Dic61—21no—
632C22⋊Dic61—21no—
633C22⋊Dic61—21no—
634C22⋊Dic61—21no—
635C22⋊Dic61C2×D411yescharacteristic
636C22⋊Dic61C2×D411yescharacteristic
637#11758202—22no—
638#11758202—41no—
639#11758202—41no—
640#11758201—22no—
641#11758200—41no—
642#11758200—41no—
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#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198C2×D411yescharacteristic
655#11758198C2×D411yescharacteristic
656#11758198C2×D411yescharacteristic
657#11758198C2×D411yescharacteristic
658C4⋊Dic61—21no—
659C4⋊Dic61—21no—
660C4⋊Dic61—21no—
661C4⋊Dic61—21no—
662C4⋊Dic61—21no—
663C4⋊Dic61—21no—
664C4⋊Dic61—21no—
665C4⋊Dic61—21no—
666C4⋊Dic61—21no—
667C4⋊Dic61—21no—
668C4⋊Dic61—21no—
669C4⋊Dic61C2×D411yescharacteristic
670C4⋊Dic61C2411yescharacteristic
671C4⋊Dic61C2411yescharacteristic
672C4⋊Dic61C2411yescharacteristic
673C4⋊Dic61C2411yescharacteristic
674#11758196—21no—
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196C2×D411yescharacteristic
692#11758196C2×D411yescharacteristic
693C4×Dic61—21no—
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61C2×D411yescharacteristic
702C4×Dic61C2×D411yescharacteristic
703C4×Dic61C2411yescharacteristic
704#11758194—41no—
705C2×#92418—41no—
706C2×#92418C2411yescharacteristic
707C2×#92418C2411yescharacteristic
708C2×#92418C2411yescharacteristic
709C2×#92418C2411yescharacteristic
710Dic244—41no—
711Dic244—41no—
712#11758190—22no—
713#11758189—22no—
714#11758189—22no—
715#11758189—22no—
716#11758189—22no—
717#11758189—41no—
718#11758189—41no—
719C8×D61—41no—
720C8×D61—41no—
721C23×C61—21no—
722C23×C61—21no—
723C23×C61C22×D411yescharacteristic
724C23×C61C22×D411yescharacteristic
725C22×D61—21no—
726C22×D61—22no—
727C22×D61—22no—
728C22×D61—22no—
729C22×D61—41no—
730C22×D61—41no—
731C22×D61—41no—
732C22×D61—42no—
733C22×D61—42no—
734C22×D61—42no—
735C22×D61—42no—
736C22×D61—81no—
737C22×D61—81no—
738C22×D61C22×D411yescharacteristic
739C22×D61C22×D411yescharacteristic
740C22×D61C22×D411yescharacteristic
741Q8×C61—21no—
742Q8×C61—21no—
743Q8×C61—21no—
744Q8×C61C2×#4112yes—
745D4×C61—21no—
746D4×C61—21no—
747D4×C61—21no—
748D4×C61—21no—
749D4×C61—41no—
750D4×C61—42no—
751D4×C61—42no—
752D4×C61—42no—
753D4×C61—81no—
754D4×C61—81no—
755D4×C61—81no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—42no—
767C2×C4×C61—42no—
768C2×C4×C61—42no—
769C2×C4×C61C22×D411yescharacteristic
770C2×C4×C61C22×D411yescharacteristic
771C2×C4×C61C22×D411yescharacteristic
772C2×C4×C61C22×D411yescharacteristic
773C2×C4×C61C2511yescharacteristic
774C22⋊D61—22no—
775C22⋊D61—41no—
776C22⋊D61—42no—
777C22⋊D61—42no—
778C22⋊D61—42no—
779C22⋊D61—42no—
780C22⋊D61—42no—
781C22⋊D61—42no—
782C22⋊D61—42no—
783C22⋊D61—42no—
784C2×Dic61—22no—
785C2×Dic61—22no—
786C2×Dic61—21no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—42no—
794C2×Dic61—42no—
795C2×Dic61—42no—
796C2×Dic61C22×D411yescharacteristic
797C2×Dic61C22×D411yescharacteristic
798C2×Dic61C22×D411yescharacteristic
799C2×Dic61C22×D411yescharacteristic
800C2×Dic61C22×D411yescharacteristic
801D244—24no—
802D244—22no—
803D244—21no—
804D244C2×#4112yes—
805C4×D61—22no—
806C4×D61—22no—
807C4×D61—21no—
808C4×D61—21no—
809C4×D61—21no—
810C4×D61—21no—
811C4×D61—22no—
812C4×D61—22no—
813C4×D61—24no—
814C4×D61—41no—
815C4×D61—41no—
816C4×D61—42no—
817C4×D61—42no—
818C4×D61—42no—
819C4×D61—42no—
820C4×D61—42no—
821C4×D61—42no—
822C4×D61—42no—
823C4×D61—42no—
824C4×D61—42no—
825C4×D61—42no—
826C4×D61—42no—
827C4×D61—81no—
828C4×D61C2×#4112yes—
829C4×D61H(5,𝔽2)12yes—
830Dic122—21no—
831Dic122—21no—
832Dic122—21no—
833Dic122—21no—
834Dic122—21no—
835Dic122—21no—
836Dic122—42no—
837Dic122—42no—
838Dic122—42no—
839C8×C61—21no—
840C8×C61—21no—
841C8×C61—21no—
842C8×C61—21no—
843#92418—21no—
844#92418—21no—
845#92418—21no—
846#92418—21no—
847#61163—611nomaximal, Sylow
848C22×C61—21no—
849C22×C61—21no—
850C22×C61—21no—
851C22×C61—21no—
852C22×C61—21no—
853C22×C61—21no—
854C22×C61—41no—
855C22×C61—41no—
856C22×C61—41no—
857C22×C61—41no—
858C22×C61—41no—
859C22×C61—41no—
860C22×C61C23×D411yescharacteristic
861C2×D61—21no—
862C2×D61—21no—
863C2×D61—21no—
864C2×D61—21no—
865C2×D61—21no—
866C2×D61—21no—
867C2×D61—22no—
868C2×D61—21no—
869C2×D61—44no—
870C2×D61—41no—
871C2×D61—41no—
872C2×D61—82no—
873C2×D61—84no—
874C2×D61—84no—
875C2×D61#54612yes—
876C2×D61#57512yes—
877C4×C61—21no—
878C4×C61—22no—
879C4×C61—21no—
880C4×C61—21no—
881C4×C61—21no—
882C4×C61—41no—
883C4×C61—41no—
884C4×C61—41no—
885C4×C61—41no—
886C4×C61—41no—
887C4×C61C22×#4111yescharacteristic
888C4×C61C2×H(5,𝔽2)11yescharacteristic
889Dic61—21no—
890Dic61—21no—
891Dic61—21no—
892Dic61—21no—
893Dic61—41no—
894Dic61—41no—
895Dic61—41no—
896Dic61—41no—
897Dic61—41no—
898Dic61—41no—
899Dic61—41no—
900Dic61#54612yes—
901C2×#552—611no—
902D4×#41—611no—
903#3327—611no—
904#3327—611no—
905#3323—611no—
906#3323—611no—
907#3317—611no—
908#3317D6111yescharacteristic, complemented
909#3315—611no—
910#3315—611no—
911#3312—611no—
912#3312—611no—
913#3310—611no—
914#3310—611no—
915#3300—611no—
916#3300—611no—
917#3296—611no—
918#3296—611no—
919#3142—611no—
920#3093—611no—
921#3092—611no—
922#3080—611no—
923#3056—611no—
924#3056—611no—
925#3037—611no—
926#3007—611no—
927#3007—611no—
928C4×#137—611no—
929D4×M16—611no—
930#2896—611no—
931C2×#417—611no—
932C2×C61—41no—
933C2×C61—41no—
934C2×C61—81no—
935C2×C61—81no—
936C2×C61C2×#54611yescharacteristic
937C2×C61C2×#57511yescharacteristic
938C2×C61#358611yescharacteristic
939D61—22no—
940D61—22no—
941D61—41no—
942D61—42no—
943C22×#41—611no—
944C22×#41—611no—
945C2×#137—611no—
946C2×#137—611no—
947C2×#137—611no—
948C22×M16—611no—
949C22×M16—611no—
950#552—611no—
951#552—611no—
952#552—611no—
953#552—611no—
954#552—611no—
955#552—611no—
956#552—611no—
957#552—1221no—
958#552—1221no—
959#552—1221no—
960#552—1221no—
961#552C2×D6111yescharacteristic, complemented
962#550C2×D6111yescharacteristic
963D4×Q8—611no—
964#548—611no—
965#548—611no—
966#547—611no—
967#547—1221no—
968#546—611no—
969#546—611no—
970#546—1221no—
971#546—1221no—
972D42—611no—
973D42—1221no—
974#532—611no—
975#532—1221no—
976C2×#126—1221no—
977C2×#125—611no—
978C2×#125—1221no—
979#525—611no—
980#525—611no—
981#525—1221no—
982#525—1221no—
983C2×#123—1221no—
984C2×C22⋊Q8—611no—
985C2×C22⋊Q8—611no—
986C4×#41—611no—
987C2×C4×Q8—611no—
988C2×C4×D4—611no—
989C2×C4×D4—1221no—
990C2×#117—611no—
991C2×#117—1221no—
992C22×C4⋊C4—611no—
993#491—611no—
994#491—611no—
995#490—611no—
996#490C2×D6111yescharacteristic, complemented
997#488—611no—
998#488—611no—
999#488—611no—
1000#488—611no—
1001#485—611no—
1002#485—611no—
1003#485—611no—
1004#485—611no—
1005#484—611no—
1006#484—611no—
1007#483—611no—
1008#483—611no—
1009#482—611no—
1010#482—611no—
1011#482—611no—
1012#482C2×D6111yescharacteristic, complemented
1013#481—611no—
1014#481C2×D6111yescharacteristic, complemented
1015#480—611no—
1016#480—611no—
1017#479—611no—
1018#479—611no—
1019#479—611no—
1020#479C2×D6111yescharacteristic, complemented
1021#478—611no—
1022#478—611no—
1023#478—611no—
1024#478—611no—
1025#470—611no—
1026#470—611no—
1027#470—611no—
1028#470—611no—
1029#468—611no—
1030#468—611no—
1031#468—611no—
1032#468C2×D6111yescharacteristic, complemented
1033#467—611no—
1034#467—611no—
1035#467—611no—
1036#467—611no—
1037#465—611no—
1038#465—611no—
1039#465—611no—
1040#465C2×D6111yescharacteristic, complemented
1041#464—611no—
1042#464—611no—
1043#464—611no—
1044#464—611no—
1045#462—611no—
1046#462—611no—
1047#460—611no—
1048#460C2×D6111yescharacteristic, complemented
1049#452—611no—
1050#452—611no—
1051#452—611no—
1052#452—611no—
1053#452—611no—
1054#452—611no—
1055#452C2×D6111yescharacteristic, complemented
1056#452C2×D6111yescharacteristic, complemented
1057#451—611no—
1058#451—611no—
1059#451—611no—
1060#451—611no—
1061#450—611no—
1062#450—611no—
1063#450—611no—
1064#450—611no—
1065#441—611no—
1066#441C2×D6111yescharacteristic, complemented
1067#440—611no—
1068#440—611no—
1069C4×Q16—611no—
1070C4×Q16—611no—
1071C4×SD16—611no—
1072C4×SD16—611no—
1073#436—611no—
1074#436—611no—
1075#435—611no—
1076#435—611no—
1077#435—611no—
1078#435C2×D6111yescharacteristic, complemented
1079C8×D4—611no—
1080C8×D4—611no—
1081#428—611no—
1082#428—611no—
1083#428—611no—
1084#423—611no—
1085#419—611no—
1086#419—611no—
1087#419—611no—
1088#418—611no—
1089#418—611no—
1090#417—611no—
1091#417—611no—
1092#417—611no—
1093#417—611no—
1094#417—611no—
1095#417—611no—
1096#417—611no—
1097#417—611no—
1098#417—611no—
1099#417—611no—
1100#417—611no—
1101#417—611no—
1102#417C2×D6111yescharacteristic, complemented
1103#416—611no—
1104#416—611no—
1105#416—611no—
1106#416C2×D6111yescharacteristic, complemented
1107C2×#103—611no—
1108C2×#103—611no—
1109C2×#102—611no—
1110C2×#102—611no—
1111#407—611no—
1112#407—611no—
1113C4×M16—611no—
1114C61#6116311yescharacteristic, complemented, Sylow
1115C2×#41—611no—
1116C2×#41—611no—
1117C2×#41—611no—
1118C2×#41—611no—
1119C2×#41—611no—
1120C2×#41—1221no—
1121C2×#41—1221no—
1122C2×#41—1221no—
1123C2×#41—1221no—
1124C2×#41—1224no—
1125C2×#41—1224no—
1126C2×#41—2442no—
1127C2×#41—2442no—
1128C2×#41C22×D6111yescharacteristic
1129C2×#41C22×D6111yescharacteristic
1130C22×Q8—611no—
1131C22×Q8—611no—
1132C22×Q8—611no—
1133C22×D4—611no—
1134C22×D4—611no—
1135C22×D4—611no—
1136C22×D4—1221no—
1137C22×D4—1221no—
1138C22×D4—1221no—
1139C23×C4—611no—
1140C23×C4—611no—
1141C23×C4—1221no—
1142C23×C4—1221no—
1143C23×C4—1221no—
1144#137—1224no—
1145#137—2442no—
1146#137—2442no—
1147C2×Q16—611no—
1148C2×Q16—611no—
1149C2×Q16—611no—
1150C2×Q16—611no—
1151C2×Q16—611no—
1152C2×Q16C22×D6111yescharacteristic
1153C2×SD16—611no—
1154C2×SD16—611no—
1155C2×SD16—611no—
1156C2×SD16—611no—
1157C2×SD16C22×D6111yescharacteristic
1158C2×SD16C22×D6111yescharacteristic
1159C2×M16—611no—
1160C2×M16—611no—
1161C2×M16—611no—
1162C2×M16—611no—
1163C2×M16—611no—
1164C2×M16—611no—
1165C2×M16—611no—
1166C2×M16—2442no—
1167C2×M16—2442no—
1168C2×M16C22×D6111yescharacteristic
1169C22×C8—611no—
1170C22×C8—611no—
1171C22×C8—611no—
1172C22×C8C22×D6111yescharacteristic
1173C4⋊Q8—611no—
1174C4⋊Q8—1221no—
1175#127—21no—
1176#127C22×D6111yescharacteristic
1177#126—21no—
1178#126—1221no—
1179#126—1221no—
1180#126—1221no—
1181#126—1221no—
1182#126—1221no—
1183#126—1221no—
1184#126—1221no—
1185#125—21no—
1186#125—611no—
1187#125—611no—
1188#125—611no—
1189#125—1221no—
1190#125—1221no—
1191#125—1221no—
1192#125—1221no—
1193#125—1221no—
1194#125—1221no—
1195#125—1221no—
1196#125—1221no—
1197#125—1221no—
1198#125C22×D6111yescharacteristic
1199#124—611no—
1200#124—611no—
1201#124—1221no—
1202#124—1221no—
1203#123—21no—
1204#123—1221no—
1205#123—1221no—
1206#123—1221no—
1207#123—1221no—
1208#123—1221no—
1209#123—1221no—
1210#123—1221no—
1211#123—1221no—
1212#123—1221no—
1213#123—1221no—
1214#123—1221no—
1215#123—1221no—
1216#123—1221no—
1217C22⋊Q8—611no—
1218C22⋊Q8—611no—
1219C22⋊Q8—611no—
1220C22⋊Q8—611no—
1221C22⋊Q8—611no—
1222C22⋊Q8—611no—
1223C22⋊Q8—611no—
1224C22⋊Q8—611no—
1225C22⋊Q8—611no—
1226C22⋊Q8—611no—
1227C22⋊Q8—1221no—
1228C22⋊Q8—1221no—
1229C22⋊Q8—1221no—
1230C22⋊Q8—1221no—
1231C22⋊Q8—1221no—
1232C22⋊Q8—1221no—
1233C22⋊Q8—1221no—
1234C22⋊Q8—1221no—
1235C22⋊Q8C22×D6111yescharacteristic
1236C22⋊Q8C22×D6111yescharacteristic
1237#121—21no—
1238#121—21no—
1239#121—611no—
1240#121—611no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121C22×D6111yescharacteristic
1250#121C22×D6111yescharacteristic
1251#120—1221no—
1252#120—1221no—
1253#120—1221no—
1254#120—1221no—
1255#120—1221no—
1256#120—1221no—
1257C4×Q8—611no—
1258C4×Q8—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—1221no—
1262C4×Q8—1221no—
1263C4×Q8C22×D6111yescharacteristic
1264C4×Q8C22×D6111yescharacteristic
1265C4×D4—21no—
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—1221no—
1276C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1287#117—21no—
1288#117—611no—
1289#117—611no—
1290#117—611no—
1291#117—611no—
1292#117—1221no—
1293#117—1221no—
1294#117—1221no—
1295#117—1221no—
1296#117—1221no—
1297#117—1221no—
1298#117—1221no—
1299#117—1221no—
1300#117—1221no—
1301#117—1221no—
1302#117C22×D6111yescharacteristic
1303C2×C4⋊C4—611no—
1304C2×C4⋊C4—611no—
1305C2×C4⋊C4—611no—
1306C2×C4⋊C4—611no—
1307C2×C4⋊C4—611no—
1308C2×C4⋊C4—611no—
1309C2×C4⋊C4—611no—
1310C2×C4⋊C4—1221no—
1311C2×C4⋊C4—1221no—
1312C2×C4⋊C4—1221no—
1313C2×C4⋊C4—1221no—
1314C2×C4⋊C4—1221no—
1315C2×C4⋊C4—1221no—
1316C2×C4⋊C4—1221no—
1317C2×C4⋊C4—1221no—
1318C2×C4⋊C4—1221no—
1319C2×C4⋊C4C22×D6111yescharacteristic
1320C2×C22⋊C4—611no—
1321C2×C22⋊C4—611no—
1322C2×C22⋊C4—1221no—
1323C2×C22⋊C4—1221no—
1324C2×C22⋊C4—1221no—
1325C2×C22⋊C4—1221no—
1326C2×C22⋊C4—1221no—
1327C2×C42—611no—
1328C2×C42—1221no—
1329C2×C42—1221no—
1330C2×C42—1221no—
1331#107—611no—
1332#107—611no—
1333#107—611no—
1334#107—611no—
1335#107—611no—
1336#107C22×D6111yescharacteristic
1337#106—611no—
1338#106—611no—
1339#106—611no—
1340#106—611no—
1341#106C22×D6111yescharacteristic
1342#106C22×D6111yescharacteristic
1343C4⋊C8—611no—
1344C4⋊C8—611no—
1345C4⋊C8—611no—
1346C4⋊C8C22×D6111yescharacteristic
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103—611no—
1351#103—611no—
1352#103—611no—
1353#103—611no—
1354#103—611no—
1355#103—611no—
1356#103—611no—
1357#103—611no—
1358#103—611no—
1359#103—611no—
1360#103—611no—
1361#103—611no—
1362#103—611no—
1363#103—611no—
1364#103—611no—
1365#103C22×D6111yescharacteristic
1366#103C22×D6111yescharacteristic
1367#103C22×D6111yescharacteristic
1368#103C22×D6111yescharacteristic
1369#102—611no—
1370#102—611no—
1371#102—611no—
1372#102—611no—
1373#102—611no—
1374#102—611no—
1375#102—611no—
1376#102—611no—
1377#102—611no—
1378#102—611no—
1379#102—611no—
1380#102—611no—
1381#102C22×D6111yescharacteristic
1382#102C22×D6111yescharacteristic
1383#102C22×D6111yescharacteristic
1384#102C22×D6111yescharacteristic
1385#102C22×D6111yescharacteristic
1386#102C22×D6111yescharacteristic
1387C22⋊C8—611no—
1388C22⋊C8—611no—
1389C22⋊C8—611no—
1390C22⋊C8—611no—
1391C22⋊C8—611no—
1392C22⋊C8—611no—
1393C22⋊C8C22×D6111yescharacteristic
1394C22⋊C8C22×D6111yescharacteristic
1395#97—611no—
1396#97C22×D6111yescharacteristic
1397C4×C8—611no—
1398C4×C8—611no—
1399C24—611no—
1400C24—611no—
1401C24—1221no—
1402C24—1221no—
1403#41—22no—
1404#41—22no—
1405#41—41no—
1406#41—41no—
1407#41—614no—
1408#41—1222no—
1409#41—1222no—
1410#41—1222no—
1411#41—1222no—
1412#41—1222no—
1413#41—1222no—
1414#41—1222no—
1415#41—2441no—
1416#41—2441no—
1417#41—2444no—
1418#41—2444no—
1419#41—2444no—
1420#41—2444no—
1421C2×Q8—611no—
1422C2×Q8—611no—
1423C2×Q8—611no—
1424C2×Q8—1221no—
1425C2×Q8—1221no—
1426C2×Q8—1221no—
1427C2×Q8—1222no—
1428C2×Q8—1222no—
1429C2×Q8—1222no—
1430C2×Q8—1222no—
1431C2×Q8—2441no—
1432C2×Q8—2441no—
1433C2×Q8C23×D6111yescharacteristic
1434C2×Q8C23×D6111yescharacteristic
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—611no—
1442C2×D4—611no—
1443C2×D4—611no—
1444C2×D4—611no—
1445C2×D4—1221no—
1446C2×D4—1221no—
1447C2×D4—1221no—
1448C2×D4—1222no—
1449C2×D4—1222no—
1450C2×D4—1221no—
1451C2×D4—1221no—
1452C2×D4—1221no—
1453C2×D4—1221no—
1454C2×D4—1221no—
1455C2×D4—1221no—
1456C2×D4—2441no—
1457C2×D4—2441no—
1458C2×D4—2442no—
1459C2×D4—2444no—
1460C2×D4—2444no—
1461C2×D4—2444no—
1462C2×D4D4×D6111yescharacteristic
1463C2×D4C23×D6111yescharacteristic
1464C2×D4C23×D6111yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—611no—
1469C22×C4—611no—
1470C22×C4—611no—
1471C22×C4—611no—
1472C22×C4—611no—
1473C22×C4—611no—
1474C22×C4—611no—
1475C22×C4—611no—
1476C22×C4—611no—
1477C22×C4—611no—
1478C22×C4—611no—
1479C22×C4—1221no—
1480C22×C4—1222no—
1481C22×C4—1222no—
1482C22×C4—1222no—
1483C22×C4—1222no—
1484C22×C4—1221no—
1485C22×C4—1221no—
1486C22×C4—1221no—
1487C22×C4—1221no—
1488C22×C4—1221no—
1489C22×C4—1221no—
1490C22×C4—1221no—
1491C22×C4—1221no—
1492C22×C4—1221no—
1493C22×C4—1221no—
1494C22×C4—1221no—
1495C22×C4—1221no—
1496C22×C4—1221no—
1497C22×C4—1221no—
1498C22×C4—1221no—
1499C22×C4—2444no—
1500C22×C4—2444no—
1501C22×C4—2444no—
1502C22×C4C23×D6111yescharacteristic
1503C22×C4C23×D6111yescharacteristic
1504Q16—22no—
1505Q16—1222no—
1506Q16—2441no—
1507Q16—2441no—
1508Q16—2441no—
1509Q16—2441no—
1510SD16—41no—
1511SD16—41no—
1512SD16—1222no—
1513SD16—1222no—
1514SD16—2441no—
1515SD16—2441no—
1516M16—41no—
1517M16—1222no—
1518M16—1222no—
1519M16—1222no—
1520M16—1222no—
1521M16—2441no—
1522M16—2441no—
1523M16—2441no—
1524C2×C8—41no—
1525C2×C8—611no—
1526C2×C8—611no—
1527C2×C8—611no—
1528C2×C8—611no—
1529C2×C8—2441no—
1530C2×C8—2441no—
1531C2×C8—2441no—
1532C2×C8C23×D6111yescharacteristic
1533C2×C8C23×D6111yescharacteristic
1534C2×C8C23×D6111yescharacteristic
1535C2×C8C23×D6111yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—611no—
1544C4⋊C4—611no—
1545C4⋊C4—611no—
1546C4⋊C4—611no—
1547C4⋊C4—611no—
1548C4⋊C4—611no—
1549C4⋊C4—611no—
1550C4⋊C4—1221no—
1551C4⋊C4—1221no—
1552C4⋊C4—1221no—
1553C4⋊C4—1221no—
1554C4⋊C4—1221no—
1555C4⋊C4—1221no—
1556C4⋊C4—1221no—
1557C4⋊C4—1221no—
1558C4⋊C4—1221no—
1559C4⋊C4—1221no—
1560C4⋊C4—1221no—
1561C4⋊C4—1221no—
1562C4⋊C4—1221no—
1563C4⋊C4—1221no—
1564C4⋊C4—1221no—
1565C4⋊C4—1221no—
1566C4⋊C4—1221no—
1567C4⋊C4—1221no—
1568C4⋊C4—1221no—
1569C4⋊C4—1221no—
1570C4⋊C4—1221no—
1571C4⋊C4—1221no—
1572C4⋊C4—1221no—
1573C4⋊C4—1221no—
1574C4⋊C4—1221no—
1575C4⋊C4—1221no—
1576C4⋊C4—1221no—
1577C4⋊C4—1221no—
1578C4⋊C4D4×D6111yescharacteristic
1579C4⋊C4C23×D6111yescharacteristic
1580C4⋊C4C23×D6111yescharacteristic
1581C4⋊C4C23×D6111yescharacteristic
1582C4⋊C4C23×D6111yescharacteristic
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—611no—
1589C22⋊C4—611no—
1590C22⋊C4—611no—
1591C22⋊C4—611no—
1592C22⋊C4—611no—
1593C22⋊C4—611no—
1594C22⋊C4—1221no—
1595C22⋊C4—1221no—
1596C22⋊C4—1221no—
1597C22⋊C4—1221no—
1598C22⋊C4—1221no—
1599C22⋊C4—1221no—
1600C22⋊C4—1221no—
1601C22⋊C4—1221no—
1602C22⋊C4—1221no—
1603C22⋊C4—1221no—
1604C22⋊C4—1221no—
1605C22⋊C4—1221no—
1606C22⋊C4—1221no—
1607C22⋊C4—1221no—
1608C22⋊C4—1221no—
1609C22⋊C4—1221no—
1610C22⋊C4—1221no—
1611C22⋊C4—1221no—
1612C22⋊C4—1221no—
1613C22⋊C4—1221no—
1614C22⋊C4—1221no—
1615C22⋊C4—1221no—
1616C22⋊C4D4×D6111yescharacteristic
1617C22⋊C4D4×D6111yescharacteristic
1618C42—21no—
1619C42—21no—
1620C42—21no—
1621C42—611no—
1622C42—611no—
1623C42—611no—
1624C42—1221no—
1625C42—1221no—
1626C42—1221no—
1627C42—1221no—
1628C42—1221no—
1629C42—1221no—
1630C42—1221no—
1631C42—1221no—
1632C42C23×D6111yescharacteristic
1633C23—21no—
1634C23—21no—
1635C23—611no—
1636C23—611no—
1637C23—611no—
1638C23—1222no—
1639C23—1222no—
1640C23—1222no—
1641C23—1221no—
1642C23—4881no—
1643C23—4881no—
1644C23—2441no—
1645C23—2441no—
1646C23—2441no—
1647C23—2442no—
1648C23—2442no—
1649C23—2442no—
1650C23—2442no—
1651C23C2×D4×D6111yescharacteristic
1652C23C2×D4×D6111yescharacteristic
1653Q8—21no—
1654Q8—21no—
1655Q8—21no—
1656Q8—1221no—
1657Q8—1221no—
1658Q8—1221no—
1659Q8—1221no—
1660Q8—1221no—
1661Q8—1221no—
1662Q8—2442no—
1663Q8—2442no—
1664Q8—2442no—
1665Q8#41×D6112yes—
1666D4—21no—
1667D4—21no—
1668D4—21no—
1669D4—21no—
1670D4—41no—
1671D4—42no—
1672D4—42no—
1673D4—42no—
1674D4—81no—
1675D4—81no—
1676D4—81no—
1677D4—612no—
1678D4—1222no—
1679D4—1224no—
1680D4—1222no—
1681D4—1221no—
1682D4—2441no—
1683D4—2442no—
1684D4—2442no—
1685D4—2442no—
1686D4—2442no—
1687D4—2442no—
1688D4—2442no—
1689D4—2442no—
1690D4—2442no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—42no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—611no—
1705C2×C4—612no—
1706C2×C4—612no—
1707C2×C4—611no—
1708C2×C4—611no—
1709C2×C4—611no—
1710C2×C4—611no—
1711C2×C4—1222no—
1712C2×C4—1222no—
1713C2×C4—1224no—
1714C2×C4—1222no—
1715C2×C4—1222no—
1716C2×C4—1222no—
1717C2×C4—1222no—
1718C2×C4—1221no—
1719C2×C4—1221no—
1720C2×C4—1221no—
1721C2×C4—1221no—
1722C2×C4—1221no—
1723C2×C4—1221no—
1724C2×C4—1221no—
1725C2×C4—1221no—
1726C2×C4—1221no—
1727C2×C4—1221no—
1728C2×C4—1221no—
1729C2×C4—4881no—
1730C2×C4—2441no—
1731C2×C4—2441no—
1732C2×C4—2442no—
1733C2×C4—2442no—
1734C2×C4—2442no—
1735C2×C4—2442no—
1736C2×C4—2442no—
1737C2×C4—2442no—
1738C2×C4—2442no—
1739C2×C4—2442no—
1740C2×C4—2442no—
1741C2×C4—2442no—
1742C2×C4—2442no—
1743C2×C4—2442no—
1744C2×C4—2442no—
1745C2×C4—2442no—
1746C2×C4C2×D4×D6111yescharacteristic
1747C2×C4C2×D4×D6111yescharacteristic
1748C2×C4C2×D4×D6111yescharacteristic
1749C2×C4C2×D4×D6111yescharacteristic
1750C2×C4C24×D6111yescharacteristic
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—1221no—
1756C8—1221no—
1757C8—1221no—
1758C8—1221no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—21no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—612no—
1772C22—612no—
1773C22—1221no—
1774C22—1221no—
1775C22—1221no—
1776C22—1221no—
1777C22—1221no—
1778C22—1222no—
1779C22—1221no—
1780C22—1221no—
1781C22—4882no—
1782C22—4884no—
1783C22—4884no—
1784C22—2444no—
1785C22—2441no—
1786C22—2441no—
1787C22C22×D4×D6111yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—22no—
1791C4—21no—
1792C4—21no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—612no—
1799C4—1221no—
1800C4—1221no—
1801C4—1221no—
1802C4—1221no—
1803C4—2441no—
1804C4—2441no—
1805C4—2441no—
1806C4—2441no—
1807C4—2441no—
1808C4—2441no—
1809C4—2441no—
1810C4C2×#41×D6111yescharacteristic
1811C4H(5,𝔽2)×D6111yescharacteristic
1812C2—41no—
1813C2—41no—
1814C2—81no—
1815C2—81no—
1816C2—1222no—
1817C2—1222no—
1818C2—2441no—
1819C2—2442no—
1820C2#546×D6111yescharacteristic
1821C2#575×D6111yescharacteristic
1822C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3317C2
socleC22×C61C23×D4
prime radical#21459309C2
hypercenter#3317D61
hypocenterC61#61163
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3317

Complements

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

NH ≅ G/Ntype
1. #552×D61C2semidirect
3. #21458088C2semidirect
4. #21458080C2semidirect
5. #21458038C2semidirect
6. #21458030C2semidirect
7. #21457945C2semidirect
8. #21457917C2semidirect
9. #21457909C2semidirect
10. #21457875C2semidirect
11. #21457867C2semidirect
12. #21457847C2semidirect
13. #21457839C2semidirect
14. #21457707C2semidirect
15. #21457699C2semidirect
16. #21457657C2semidirect
17. #21457649C2semidirect
18. #21456218C2semidirect
19. #21455747C2semidirect
20. #21455741C2semidirect
21. #21455638C2semidirect
22. #21455444C2semidirect
23. #21455442C2semidirect
24. #21455286C2semidirect
25. #21455076C2semidirect
26. #21455076C2semidirect
27. #21454635C2semidirect
28. #21454552C2semidirect
29. #21454334C2semidirect
30. #417×D61C2semidirect
31. C61×#3317C2semidirect
35. C2×#14519806C22semidirect
36. C2×#14519806C22semidirect
37. C22×#11758189C22semidirect
38. C2×M16×D61C22semidirect
39. #16840454C22semidirect
41. #16840452C22semidirect
42. #16840451C22semidirect
46. #16840447C22semidirect
47. #16840446C22semidirect
65. #125×D61C22semidirect
71. C22⋊Q8×D61C22semidirect
72. C22⋊Q8×D61C22semidirect
74. C4×Q8×D61C22semidirect
78. #117×D61C22semidirect
79. C2×C4⋊C4×D61C22semidirect
80. #16840132C22semidirect
81. #16840131C22semidirect
82. #16840126C22semidirect
83. #16840115C22semidirect
84. #16840115C22semidirect
85. #16840115C22semidirect
86. #16840115C22semidirect
87. #16840106C22semidirect
88. #16840105C22semidirect
89. #16840104C22semidirect
90. #16840103C22semidirect
91. #16840098C22semidirect
92. #16840097C22semidirect
93. #16840094C22semidirect
94. #16840094C22semidirect
95. #16840085C22semidirect
96. #16840084C22semidirect
97. #16840083C22semidirect
98. #16840078C22semidirect
99. #16840074C22semidirect
100. #16840074C22semidirect
101. #16840071C22semidirect
102. #16840069C22semidirect
103. #16840067C22semidirect
104. #16840065C22semidirect
105. #16840063C22semidirect
106. #16840061C22semidirect
107. #16840059C22semidirect
108. #16840021C22semidirect
109. #16840020C22semidirect
110. #16840019C22semidirect
111. #16840018C22semidirect
112. #16840007C22semidirect
113. #16840006C22semidirect
114. #16840005C22semidirect
115. #16840004C22semidirect
116. #16840003C22semidirect
117. #16840002C22semidirect
118. #16840001C22semidirect
119. #16839990C22semidirect
120. #16839989C22semidirect
121. #16839988C22semidirect
122. #16839983C22semidirect
123. #16839983C22semidirect
124. #16839982C22semidirect
125. #16839982C22semidirect
126. #16839973C22semidirect
127. #16839972C22semidirect
128. #16839959C22semidirect
129. #16839926C22semidirect
130. #16839926C22semidirect
131. #16839924C22semidirect
132. #16839924C22semidirect
133. #16839922C22semidirect
134. #16839922C22semidirect
135. #16839919C22semidirect
136. #16839919C22semidirect
137. #16839916C22semidirect
138. #16839916C22semidirect
139. #16839914C22semidirect
140. #16839914C22semidirect
141. #16839911C22semidirect
142. #16839911C22semidirect
143. #16839867C22semidirect
144. #16839864C22semidirect
145. #16839860C22semidirect
146. Q16×Dic61C22semidirect
147. #16839854C22semidirect
148. #16839849C22semidirect
149. #16839847C22semidirect
150. #16839838C22semidirect
151. #16839837C22semidirect
153. #16839834C22semidirect
155. C8×C22⋊D61C22semidirect
156. #16839825C22semidirect
157. #16839803C22semidirect
158. #16839801C22semidirect
159. #16839801C22semidirect
160. #16839784C22semidirect
161. #16839769C22semidirect
162. #16839769C22semidirect
163. #16839769C22semidirect
164. #16839765C22semidirect
165. #16839765C22semidirect
166. #16839764C22semidirect
167. #16839763C22semidirect
171. #16839761C22semidirect
172. #16839760C22semidirect
173. #16839760C22semidirect
174. #16839760C22semidirect
175. #16839760C22semidirect
176. #16839760C22semidirect
177. #16839760C22semidirect
178. #16839759C22semidirect
179. #16839758C22semidirect
180. #16839756C22semidirect
181. #103×D61C22semidirect
182. #103×D61C22semidirect
183. #102×D61C22semidirect
184. #102×D61C22semidirect
185. #16839724C22semidirect
186. #16839724C22semidirect
187. #16839714C22semidirect
188. C61×#552C22semidirect
190. C61×#490C22semidirect
191. C61×#482C22semidirect
192. C61×#481C22semidirect
193. C61×#479C22semidirect
194. C61×#468C22semidirect
195. C61×#465C22semidirect
196. C61×#460C22semidirect
197. C61×#452C22semidirect
198. C61×#452C22semidirect
199. C61×#441C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
202. C61×#416C22semidirect
908. #3317D61semidirect
961. #552C2×D61semidirect
996. #490C2×D61semidirect
1012. #482C2×D61semidirect
1014. #481C2×D61semidirect
1020. #479C2×D61semidirect
1032. #468C2×D61semidirect
1040. #465C2×D61semidirect
1048. #460C2×D61semidirect
1055. #452C2×D61semidirect
1056. #452C2×D61semidirect
1066. #441C2×D61semidirect
1078. #435C2×D61semidirect
1102. #417C2×D61semidirect
1106. #416C2×D61semidirect
1114. C61#61163semidirect

Maximal subgroups

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

subgroupindex
#552×D612
#214593092
#214580882
#214580802
#214580382
#214580302
#214579452
#214579172
#214579092
#214578752
#214578672
#214578472
#214578392
#214577072
#214576992
#214576572
#214576492
#214562182
#214557472
#214557412
#214556382
#214554442
#214554422
#214552862
#214550762
#214546352
#214545522
#214543342
#417×D612
C61×#33172
#6116361