Finite Group Databasebeta

← #30556787

Subgroups — #30556787

Order 15616.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459385C211yesmaximal, characteristic, complemented
2#21459303C211yesmaximal, characteristic, complemented
3#21458004C211yesmaximal, characteristic, complemented
4#21457988C211yesmaximal, characteristic, complemented
5#21457972C211yesmaximal, characteristic, complemented
6#21457956C211yesmaximal, characteristic, complemented
7#21457940C211yesmaximal, characteristic, complemented
8#21457924C211yesmaximal, characteristic, complemented
9#21457908C211yesmaximal, characteristic, complemented
10#21457892C211yesmaximal, characteristic, complemented
11#21457876C211yesmaximal, characteristic, complemented
12#21457860C211yesmaximal, characteristic, complemented
13#21457844C211yesmaximal, characteristic, complemented
14#21457828C211yesmaximal, characteristic, complemented
15#21457812C211yesmaximal, characteristic, complemented
16#21457796C211yesmaximal, characteristic, complemented
17#21457780C211yesmaximal, characteristic, complemented
18#21456161C211yesmaximal, characteristic, complemented
19#21455735C211yesmaximal, characteristic, complemented
20#21455727C211yesmaximal, characteristic, complemented
21#21455600C211yesmaximal, characteristic, complemented
22#21455423C211yesmaximal, characteristic, complemented
23#21455402C211yesmaximal, characteristic, complemented
24#21455273C211yesmaximal, characteristic, complemented
25#21455040C211yesmaximal, characteristic, complemented
26#21455038C211yesmaximal, characteristic, complemented
27#21454614C211yesmaximal, characteristic, complemented
28#435×D61C211yesmaximal, characteristic, complemented
29#21454335C211yesmaximal, characteristic, complemented
30C2×#16839755C211yesmaximal, characteristic, complemented
31C61×#3314C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519800C2211yescharacteristic, complemented
35C2×#14519798C2211yescharacteristic
36C2×#14519798C2211yescharacteristic, complemented
37C2×M16×D61C2211yescharacteristic, complemented
38C22×C8×D61C2211yescharacteristic, complemented
39#16840485C2211yescharacteristic, complemented
40#16840478C2211yescharacteristic, complemented
41#16840460C2211yescharacteristic
42#16840460C2211yescharacteristic, complemented
43#16840454C2211yescharacteristic
44#16840454C2211yescharacteristic, complemented
45#16840450—21no—
46#16840439—21no—
47#16840439—21no—
48#16840430C2211yescharacteristic
49#16840425C2211yescharacteristic
50#16840421C2211yescharacteristic
51#16840420C2211yescharacteristic
52#16840416C2211yescharacteristic, complemented
53#16840411C2211yescharacteristic
54#16840410—21no—
55#16840407—21no—
56#16840407C2211yescharacteristic
57#16840402—21no—
58#16840401—21no—
59D4×C22⋊D61C2211yescharacteristic
60#16840394—21no—
61#16840317C2211yescharacteristic, complemented
62#16840311C2211yescharacteristic
63#16840307—21no—
64#16840298—21no—
65#16840298—21no—
66#16840297—21no—
67#16840275C2211yescharacteristic
68#16840275C2211yescharacteristic, complemented
69#16840275C2211yescharacteristic, complemented
70#16840272C2211yescharacteristic
71#16840270—21no—
72#16840268—21no—
73C4×#11758226C2211yescharacteristic, complemented
74C4×#11758224—21no—
75C4×#11758224C2211yescharacteristic
76C2×#14519737—21no—
77C4×D4×D61C2211yescharacteristic
78C2×#14519735C2211yescharacteristic, complemented
79C2×#14519735C2211yescharacteristic, complemented
80#16840129C2211yescharacteristic, complemented
81#16840129C2211yescharacteristic, complemented
82#16840125C2211yescharacteristic, complemented
83#16840125C2211yescharacteristic, complemented
84#16840124C2211yescharacteristic, complemented
85#16840122C2211yescharacteristic, complemented
86#16840121C2211yescharacteristic, complemented
87#16840105C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840102C2211yescharacteristic, complemented
90#16840102C2211yescharacteristic, complemented
91#16840098C2211yescharacteristic, complemented
92#16840092C2211yescharacteristic, complemented
93#16840090C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840089C2211yescharacteristic, complemented
96#16840084C2211yescharacteristic, complemented
97#16840084C2211yescharacteristic, complemented
98#16840080C2211yescharacteristic, complemented
99#16840078C2211yescharacteristic, complemented
100#16840076C2211yescharacteristic, complemented
101#16840068C2211yescharacteristic, complemented
102#16840068C2211yescharacteristic, complemented
103#16840060C2211yescharacteristic, complemented
104#16840060C2211yescharacteristic, complemented
105#16840058C2211yescharacteristic, complemented
106#16840052C2211yescharacteristic, complemented
107#16840044C2211yescharacteristic, complemented
108#16840019C2211yescharacteristic, complemented
109#16840018C2211yescharacteristic, complemented
110#16840014C2211yescharacteristic, complemented
111#16840013C2211yescharacteristic, complemented
112#16840009C2211yescharacteristic, complemented
113#16840008C2211yescharacteristic, complemented
114#16840005C2211yescharacteristic, complemented
115#16840000C2211yescharacteristic, complemented
116#16839999C2211yescharacteristic, complemented
117#16839998C2211yescharacteristic, complemented
118#16839994C2211yescharacteristic, complemented
119#16839994C2211yescharacteristic, complemented
120#16839993C2211yescharacteristic, complemented
121#16839993C2211yescharacteristic, complemented
122#16839984C2211yescharacteristic, complemented
123#16839978C2211yescharacteristic, complemented
124#16839974C2211yescharacteristic, complemented
125#16839970C2211yescharacteristic, complemented
126#16839966C2211yescharacteristic, complemented
127#16839960C2211yescharacteristic, complemented
128#16839956C2211yescharacteristic, complemented
129#16839922C2211yescharacteristic, complemented
130#16839921C2211yescharacteristic, complemented
131#16839921C2211yescharacteristic, complemented
132#16839917C2211yescharacteristic, complemented
133#16839916C2211yescharacteristic, complemented
134#16839911C2211yescharacteristic, complemented
135#16839909C2211yescharacteristic, complemented
136#16839908C2211yescharacteristic, complemented
137#16839908C2211yescharacteristic, complemented
138#16839907C2211yescharacteristic, complemented
139#16839903C2211yescharacteristic, complemented
140#16839902C2211yescharacteristic, complemented
141#16839897C2211yescharacteristic, complemented
142#16839896C2211yescharacteristic, complemented
143#16839872C2211yescharacteristic, complemented
144#16839871C2211yescharacteristic, complemented
145#16839867C2211yescharacteristic, complemented
146#16839866C2211yescharacteristic, complemented
147#16839864C2211yescharacteristic, complemented
148#16839863C2211yescharacteristic, complemented
149#16839861C2211yescharacteristic, complemented
150#16839836C2211yescharacteristic, complemented
151#16839835C2211yescharacteristic, complemented
152#16839834C2211yescharacteristic, complemented
153#16839833C2211yescharacteristic
154#16839832C2211yescharacteristic, complemented
155#16839831C2211yescharacteristic, complemented
156#16839830C2211yescharacteristic
157#16839799C2211yescharacteristic, complemented
158#16839799C2211yescharacteristic, complemented
159#16839799C2211yescharacteristic, complemented
160C4⋊C8×D61C2211yescharacteristic, complemented
161#16839769C2211yescharacteristic, complemented
162#16839769C2211yescharacteristic, complemented
163#16839765C2211yescharacteristic, complemented
164#16839765C2211yescharacteristic, complemented
165#16839764C2211yescharacteristic, complemented
166#16839763C2211yescharacteristic, complemented
167#16839761C2211yescharacteristic, complemented
168#16839757C2211yescharacteristic, complemented
169#16839757C2211yescharacteristic, complemented
170#16839757C2211yescharacteristic, complemented
171#16839757C2211yescharacteristic, complemented
172#16839755C2211yescharacteristic
173#16839755C2211yescharacteristic
174#16839755C2211yescharacteristic
175#16839755C2211yescharacteristic, complemented
176#16839755C2211yescharacteristic, complemented
177#16839755C2211yescharacteristic, complemented
178#16839755C2211yescharacteristic, complemented
179#16839755C2211yescharacteristic, complemented
180#16839755C2211yescharacteristic, complemented
181#16839755C2211yescharacteristic, complemented
182C2×#14519702C2211yescharacteristic, complemented
183C2×#14519700C2211yescharacteristic, complemented
184C2×#14519698C2211yescharacteristic, complemented
185C22⋊C8×D61C2211yescharacteristic, complemented
186C22⋊C8×D61C2211yescharacteristic, complemented
187#97×D61C2211yescharacteristic, complemented
188C61×#554C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#484C2211yescharacteristic, complemented
192C61×#480C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#467C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#450C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C2×#102×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222C2311yescharacteristic
207C2×#11758224—24no—
208C2×#11758224—21no—
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224—21no—
212C2×#11758224—42no—
213C2×#11758224C2311yescharacteristic
214C2×#11758224C2311yescharacteristic
215C2×#11758224C2311yescharacteristic
216C2×#11758224C2311yescharacteristic
217#41×D61—24no—
218#41×D61—42no—
219C22×Dic122C2311yescharacteristic
220C2×Q8×D61C2311yescharacteristic
221C22×C22⋊D61—21no—
222C22×C22⋊D61—21no—
223C2×D4×D61—21no—
224C2×D4×D61D411yescharacteristic
225C2×D4×D61C2311yescharacteristic
226C23×Dic61—21no—
227C22×C4×D61—21no—
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230#14519800—42no—
231#14519798—24no—
232#14519798—42no—
233C2×#11758202C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758190C2311yescharacteristic
236C2×#11758190C2311yescharacteristic
237C2×#11758201C2311yescharacteristic
238C2×#11758201C2311yescharacteristic
239C2×D488C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241C2×#11758199C2311yescharacteristic
242C2×#11758194C2311yescharacteristic
243C2×#11758189C2311yescharacteristic
244C2×#11758189C2311yescharacteristic
245M16×D61—42no—
246C22×#92418C2311yescharacteristic
247C2×C8×D61—42no—
248C2×C8×D61C2311yescharacteristic
249C2×C8×D61C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic
254#14519777C2311yescharacteristic
255#14519776—21no—
256#14519775C2311yescharacteristic
257#14519773—21no—
258#14519773C2311yescharacteristic
259#14519772—21no—
260#14519772—21no—
261#14519772—21no—
262#14519772—21no—
263#14519772—21no—
264#14519772—21no—
265#14519768—21no—
266#14519768—21no—
267#14519768C2311yescharacteristic
268#14519768C2311yescharacteristic
269#14519766—21no—
270#14519766—21no—
271#14519765—21no—
272#14519765C2311yescharacteristic
273#14519763—21no—
274#14519763—21no—
275#14519762—21no—
276#14519762—21no—
277#14519762—21no—
278#14519762—21no—
279#14519762—21no—
280#14519761—21no—
281#14519761—21no—
282#14519761—21no—
283#14519761—21no—
284#14519761—21no—
285#14519760—21no—
286#14519759—21no—
287#14519758—21no—
288#14519757—21no—
289#14519757—21no—
290#14519757C2311yescharacteristic
291#14519756C2311yescharacteristic
292#14519755—21no—
293#14519755—21no—
294#14519754—21no—
295#14519754—21no—
296#14519753—21no—
297#14519753C2311yescharacteristic
298#14519753C2311yescharacteristic
299#14519753C2311yescharacteristic
300#14519752—21no—
301#14519752C2311yescharacteristic
302#14519752C2311yescharacteristic
303#14519752C2311yescharacteristic
304#14519751—21no—
305#14519751—21no—
306#14519751—21no—
307#14519751C2311yescharacteristic
308#14519751C2311yescharacteristic
309#14519751C2311yescharacteristic
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519748C2311yescharacteristic
319#14519747—21no—
320#14519747—21no—
321#14519747—21no—
322#14519747—21no—
323#14519746—21no—
324#14519745—21no—
325#14519745—21no—
326Q8×Dic61—21no—
327Q8×Dic61C2311yescharacteristic
328C4×Dic122—21no—
329C4×Dic122C2311yescharacteristic
330#14519742—21no—
331#14519742C2311yescharacteristic
332C4×D244—21no—
333C4×D244C2311yescharacteristic
334C4×D244C2311yescharacteristic
335D4×Dic61—21no—
336D4×Dic61D411yescharacteristic
337D4×Dic61C2311yescharacteristic
338#14519739—21no—
339#14519739—21no—
340#14519739—21no—
341#14519739—21no—
342#14519739D411yescharacteristic
343#14519739C2311yescharacteristic
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61C2311yescharacteristic
348C4×C22⋊D61C2311yescharacteristic
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519737—21no—
359#14519737—21no—
360#14519737D411yescharacteristic
361#14519737D411yescharacteristic
362#14519735—21no—
363#14519735—21no—
364#14519735—21no—
365#14519735—21no—
366#14519735—21no—
367#14519735—21no—
368#14519735C2311yescharacteristic
369#14519735C2311yescharacteristic
370#14519735C2311yescharacteristic
371#14519735C2311yescharacteristic
372#14519735C2311yescharacteristic
373#14519735C2311yescharacteristic
374#14519735C2311yescharacteristic
375#14519735C2311yescharacteristic
376#14519733—21no—
377#14519733—21no—
378#14519733—21no—
379C2×C4⋊Dic61C2311yescharacteristic
380C2×C4⋊Dic61C2311yescharacteristic
381C2×#11758196—21no—
382C4⋊C4×D61D411yescharacteristic
383C2×#11758198—21no—
384C2×#11758198—21no—
385C2×#11758198—21no—
386C22⋊C4×D61D411yescharacteristic
387C22⋊C4×D61D411yescharacteristic
388C2×C4×Dic61—21no—
389C2×C4×Dic61—21no—
390C2×C4×Dic61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519711C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
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#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519687C2311yescharacteristic
443#14519687C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C22×D4×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic
452#125×C61—21no—
453#124×C61C2311yescharacteristic
454#123×C61—21no—
455C22⋊Q8×C61—21no—
456C22⋊Q8×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460#121×C61—21no—
461#121×C61C2311yescharacteristic
462#120×C61—21no—
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61—21no—
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467C2×C4⋊C4×C61C2311yescharacteristic
468C2×C4⋊C4×C61C2311yescharacteristic
469C2×C22⋊C4×C61—21no—
470#107×C61C2311yescharacteristic
471#107×C61C2311yescharacteristic
472#107×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
487C24×C61—21no—
488C23×D61—21no—
489C23×D61C2×D411yescharacteristic
490C23×D61C2×D411yescharacteristic
491#41×C61—22no—
492#41×C61—41no—
493C2×Q8×C61—21no—
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×D4×C61—22no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—41no—
501C2×D4×C61C2×D411yescharacteristic
502C2×D4×C61C2411yescharacteristic
503C2×D4×C61C2411yescharacteristic
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61C2411yescharacteristic
509C22×C4×C61C2411yescharacteristic
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—44no—
523C2×C22⋊D61—44no—
524C2×C22⋊D61C2×D411yescharacteristic
525C2×C22⋊D61C2×D411yescharacteristic
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61—21no—
530C22×Dic61—21no—
531C22×Dic61—21no—
532C22×Dic61—21no—
533C22×Dic61—21no—
534C22×Dic61—44no—
535C22×Dic61C2×D411yescharacteristic
536C22×Dic61C2×D411yescharacteristic
537#11758226—22no—
538#11758226—22no—
539#11758226—22no—
540#11758226—22no—
541Q8×D61—22no—
542Q8×D61—41no—
543#11758224—22no—
544#11758224—22no—
545#11758224—22no—
546#11758224—22no—
547#11758224—22no—
548#11758224—41no—
549#11758224—41no—
550#11758224—44no—
551#11758224—44no—
552#11758224—44no—
553#11758224—44no—
554#11758224#4114yescomplemented
555D4×D61—22no—
556D4×D61—41no—
557D4×D61—42no—
558D4×D61—44no—
559#11758222—22no—
560#11758222—41no—
561#11758222—44no—
562C2×D244—21no—
563C2×D244—21no—
564C2×D244—21no—
565C2×D244—21no—
566C2×D244—21no—
567C2×D244C2×D411yescharacteristic
568C2×D244C2411yescharacteristic
569C2×D244C2411yescharacteristic
570C2×C4×D61—22no—
571C2×C4×D61—22no—
572C2×C4×D61—22no—
573C2×C4×D61—22no—
574C2×C4×D61—21no—
575C2×C4×D61—21no—
576C2×C4×D61—21no—
577C2×C4×D61—21no—
578C2×C4×D61—21no—
579C2×C4×D61—21no—
580C2×C4×D61—44no—
581C2×C4×D61C2×D411yescharacteristic
582C2×C4×D61C2×D411yescharacteristic
583C2×C4×D61C2×D411yescharacteristic
584C2×C4×D61C2×D411yescharacteristic
585C2×C4×D61C2×D411yescharacteristic
586C2×C4×D61C2×D411yescharacteristic
587C2×C4×D61C2411yescharacteristic
588C2×C4×D61C2411yescharacteristic
589C2×C4×D61C2411yescharacteristic
590C2×Dic122—22no—
591C2×Dic122—21no—
592C2×Dic122—21no—
593C2×Dic122—21no—
594C2×Dic122—41no—
595C2×Dic122C2411yescharacteristic
596C2×Dic122C2411yescharacteristic
597Q16×C61—41no—
598SD16×C61—22no—
599SD16×C61—41no—
600M16×C61—41no—
601C2×C8×C61—41no—
602C2×C8×C61C2411yescharacteristic
603C2×C8×C61C2411yescharacteristic
604C2×C8×C61C2411yescharacteristic
605C2×C8×C61C2411yescharacteristic
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61—21no—
609C4⋊C4×C61—21no—
610C4⋊C4×C61—21no—
611C4⋊C4×C61—21no—
612C4⋊C4×C61—21no—
613C4⋊C4×C61C2×D411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C4⋊C4×C61C2411yescharacteristic
616C4⋊C4×C61C2411yescharacteristic
617C4⋊C4×C61C2411yescharacteristic
618C22⋊C4×C61—21no—
619C22⋊C4×C61—21no—
620C22⋊C4×C61—21no—
621C22⋊C4×C61—21no—
622C22⋊C4×C61—21no—
623C22⋊C4×C61—21no—
624C22⋊C4×C61—21no—
625C22⋊C4×C61C2×D411yescharacteristic
626C22⋊C4×C61C2×D411yescharacteristic
627C42×C61—21no—
628C42×C61C2411yescharacteristic
629C22⋊Dic61—21no—
630C22⋊Dic61—21no—
631C22⋊Dic61—21no—
632C22⋊Dic61C2×D411yescharacteristic
633C22⋊Dic61C2×D411yescharacteristic
634#11758202—22no—
635#11758202—41no—
636#11758201—41no—
637#11758201—41no—
638#11758199—22no—
639#11758199—41no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198C2×D411yescharacteristic
663#11758198C2×D411yescharacteristic
664#11758198C2×D411yescharacteristic
665#11758198C2×D411yescharacteristic
666C4⋊Dic61—21no—
667C4⋊Dic61—21no—
668C4⋊Dic61—21no—
669C4⋊Dic61—21no—
670C4⋊Dic61—21no—
671C4⋊Dic61—21no—
672C4⋊Dic61—21no—
673C4⋊Dic61C2×D411yescharacteristic
674C4⋊Dic61C2411yescharacteristic
675C4⋊Dic61C2411yescharacteristic
676C4⋊Dic61C2411yescharacteristic
677C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
689#11758196C2×D411yescharacteristic
690C4×Dic61—21no—
691C4×Dic61—21no—
692C4×Dic61—21no—
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
710D488—41no—
711#11758190—22no—
712#11758190—41no—
713#11758189—41no—
714#11758189—41no—
715C8×D61—22no—
716C8×D61—22no—
717C8×D61—22no—
718C8×D61—22no—
719C8×D61—41no—
720C8×D61—41no—
721C23×C61—21no—
722C23×C61—21no—
723C23×C61—42no—
724C23×C61—42no—
725C23×C61—81no—
726C23×C61C22×D411yescharacteristic
727C23×C61C22×D411yescharacteristic
728C22×D61—22no—
729C22×D61—22no—
730C22×D61—22no—
731C22×D61—21no—
732C22×D61—21no—
733C22×D61—41no—
734C22×D61—41no—
735C22×D61—41no—
736C22×D61—42no—
737C22×D61—42no—
738C22×D61—81no—
739C22×D61C22×D411yescharacteristic
740C22×D61C22×D411yescharacteristic
741C22×D61C22×D411yescharacteristic
742Q8×C61—21no—
743Q8×C61—21no—
744Q8×C61—21no—
745Q8×C61—21no—
746Q8×C61—81no—
747D4×C61—22no—
748D4×C61—21no—
749D4×C61—21no—
750D4×C61—21no—
751D4×C61—42no—
752D4×C61—42no—
753D4×C61—81no—
754D4×C61C2×#4112yes—
755C2×C4×C61—21no—
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—42no—
766C2×C4×C61—81no—
767C2×C4×C61—81no—
768C2×C4×C61—81no—
769C2×C4×C61C22×D411yescharacteristic
770C2×C4×C61C22×D411yescharacteristic
771C2×C4×C61C22×D411yescharacteristic
772C2×C4×C61C22×D411yescharacteristic
773C2×C4×C61C2511yescharacteristic
774C22⋊D61—22no—
775C22⋊D61—24no—
776C22⋊D61—41no—
777C22⋊D61—42no—
778C22⋊D61—42no—
779C22⋊D61—42no—
780C22⋊D61—42no—
781C22⋊D61—42no—
782C22⋊D61—42no—
783C22⋊D61—42no—
784C22⋊D61—42no—
785C22⋊D61—42no—
786C22⋊D61—42no—
787C22⋊D61—81no—
788C2×Dic61—21no—
789C2×Dic61—22no—
790C2×Dic61—22no—
791C2×Dic61—24no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—21no—
797C2×Dic61—42no—
798C2×Dic61—42no—
799C2×Dic61—42no—
800C2×Dic61—42no—
801C2×Dic61—42no—
802C2×Dic61—42no—
803C2×Dic61—42no—
804C2×Dic61C22×D411yescharacteristic
805C2×Dic61C22×D411yescharacteristic
806C2×Dic61C22×D411yescharacteristic
807C2×Dic61C22×D411yescharacteristic
808C2×Dic61C22×D411yescharacteristic
809D244—21no—
810D244—21no—
811D244—21no—
812D244—21no—
813D244—41no—
814D244—42no—
815D244—42no—
816D244—81no—
817D244—81no—
818D244—81no—
819C4×D61—22no—
820C4×D61—22no—
821C4×D61—21no—
822C4×D61—21no—
823C4×D61—21no—
824C4×D61—21no—
825C4×D61—22no—
826C4×D61—22no—
827C4×D61—41no—
828C4×D61—41no—
829C4×D61—42no—
830C4×D61—42no—
831C4×D61—42no—
832C4×D61—42no—
833C4×D61—42no—
834C4×D61—81no—
835C4×D61C2×#4112yes—
836C4×D61H(5,𝔽2)12yes—
837Dic122—21no—
838Dic122—21no—
839Dic122—21no—
840Dic122—42no—
841Dic122—42no—
842Dic122—42no—
843Dic122C2×#4112yes—
844C8×C61—21no—
845C8×C61—21no—
846C8×C61—21no—
847C8×C61—21no—
848#92418—21no—
849#92418—21no—
850#92418—21no—
851#92418—21no—
852#61141—611nomaximal, Sylow
853C22×C61—21no—
854C22×C61—21no—
855C22×C61—21no—
856C22×C61—22no—
857C22×C61—21no—
858C22×C61—21no—
859C22×C61—41no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61—84no—
865C22×C61#57512yes—
866C22×C61C23×D411yescharacteristic
867C2×D61—21no—
868C2×D61—21no—
869C2×D61—21no—
870C2×D61—21no—
871C2×D61—21no—
872C2×D61—21no—
873C2×D61—21no—
874C2×D61—21no—
875C2×D61—44no—
876C2×D61—41no—
877C2×D61—41no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—41no—
881C2×D61—41no—
882C2×D61—82no—
883C2×D61—84no—
884C2×D61#54612yes—
885C4×C61—21no—
886C4×C61—21no—
887C4×C61—21no—
888C4×C61—21no—
889C4×C61—41no—
890C4×C61—41no—
891C4×C61—41no—
892C4×C61—41no—
893C4×C61—41no—
894C4×C61—41no—
895C4×C61C22×#4111yescharacteristic
896C4×C61C2×H(5,𝔽2)11yescharacteristic
897Dic61—21no—
898Dic61—22no—
899Dic61—21no—
900Dic61—21no—
901Dic61—21no—
902Dic61—41no—
903Dic61—41no—
904Dic61—41no—
905Dic61—41no—
906Dic61—41no—
907Dic61#54612yes—
908#3475—611no—
909D4×#41—611no—
910#3321—611no—
911#3320—611no—
912#3319—611no—
913#3318—611no—
914#3317—611no—
915#3316—611no—
916#3315—611no—
917#3314D6111yescharacteristic, complemented
918#3313—611no—
919#3312—611no—
920#3311—611no—
921#3310—611no—
922#3309—611no—
923#3308—611no—
924#3307—611no—
925#3306—611no—
926#3135—611no—
927#3091—611no—
928#3091—611no—
929#3076—611no—
930#3054—611no—
931#3050—611no—
932#3035—611no—
933#3002—611no—
934#3002—611no—
935#2943—611no—
936C2×#435—611no—
937#2896—611no—
938C2×#416—611no—
939C2×C61—22no—
940C2×C61—41no—
941C2×C61—42no—
942C2×C61—81no—
943C2×C61C2×#54611yescharacteristic
944C2×C61C2×#57511yescharacteristic
945C2×C61#358411yescharacteristic
946D61—22no—
947D61—41no—
948D61—41no—
949D61—81no—
950D61—81no—
951C22×#41—611no—
952C22×#41—611no—
953C2×#135—611no—
954C2×#135—611no—
955C2×#135—611no—
956C22×M16—611no—
957C23×C8—611no—
958#556—611no—
959#555—611no—
960#554C2×D6111yescharacteristic, complemented
961#553—611no—
962#553—611no—
963#552—611no—
964#552—611no—
965#552—1221no—
966#551—1221no—
967#551—1221no—
968#550—611no—
969D4×Q8—611no—
970#548—611no—
971#548—611no—
972#547—611no—
973#547—611no—
974#547—1221no—
975#546—611no—
976#546—1221no—
977#546—1221no—
978#546—1221no—
979#546C2×D6111yescharacteristic
980D42—611no—
981D42—1221no—
982#533—611no—
983#532—611no—
984#532—1221no—
985#529—1221no—
986#529—1221no—
987#529—1221no—
988#525—611no—
989#525—611no—
990#525—611no—
991#525—611no—
992#525—1221no—
993#525—1221no—
994C4×#41—611no—
995C4×#41—611no—
996C4×#41—1221no—
997C2×C4×D4—611no—
998C2×C4×D4—1221no—
999C2×#117—611no—
1000C2×#117—611no—
1001#491—611no—
1002#491—611no—
1003#490—611no—
1004#490—611no—
1005#489—611no—
1006#489—611no—
1007#489—611no—
1008#489C2×D6111yescharacteristic, complemented
1009#485—611no—
1010#485—611no—
1011#485—611no—
1012#485—611no—
1013#484—611no—
1014#484C2×D6111yescharacteristic, complemented
1015#483—611no—
1016#483—611no—
1017#482—611no—
1018#482—611no—
1019#482—611no—
1020#482—611no—
1021#481—611no—
1022#481—611no—
1023#480—611no—
1024#480C2×D6111yescharacteristic, complemented
1025#479—611no—
1026#479—611no—
1027#478—611no—
1028#478—611no—
1029#477—611no—
1030#476—611no—
1031#475—611no—
1032#474C2×D6111yescharacteristic, complemented
1033#470—611no—
1034#470—611no—
1035#469—611no—
1036#469—611no—
1037#468—611no—
1038#468—611no—
1039#468—611no—
1040#468C2×D6111yescharacteristic, complemented
1041#467—611no—
1042#467C2×D6111yescharacteristic, complemented
1043#466—611no—
1044#466—611no—
1045#465—611no—
1046#465—611no—
1047#465—611no—
1048#465—611no—
1049#464—611no—
1050#464C2×D6111yescharacteristic, complemented
1051#463—611no—
1052#463—611no—
1053#462—611no—
1054#461—611no—
1055#460—611no—
1056#459—611no—
1057#452—611no—
1058#452—611no—
1059#452—611no—
1060#452C2×D6111yescharacteristic, complemented
1061#451—611no—
1062#451—611no—
1063#450—611no—
1064#450C2×D6111yescharacteristic, complemented
1065#449—611no—
1066#449—611no—
1067#449—611no—
1068#449—611no—
1069#448—611no—
1070#448—611no—
1071#447—611no—
1072#447—611no—
1073#442—611no—
1074#442—611no—
1075#441—611no—
1076#441—611no—
1077#440—611no—
1078#440—611no—
1079#440—611no—
1080#440C2×D6111yescharacteristic, complemented
1081#435—611no—
1082#435—611no—
1083#435—611no—
1084#435—611no—
1085#435—611no—
1086#435—611no—
1087#435—611no—
1088#435C2×D6111yescharacteristic, complemented
1089#427—611no—
1090#427—611no—
1091#427—611no—
1092C2×C4⋊C8—611no—
1093#419—611no—
1094#419—611no—
1095#418—611no—
1096#418—611no—
1097#417—611no—
1098#417—611no—
1099#417—611no—
1100#417C2×D6111yescharacteristic, complemented
1101#416—611no—
1102#416—611no—
1103#416—611no—
1104#416—611no—
1105#416—611no—
1106#416—611no—
1107#416—611no—
1108#416—611no—
1109#416—611no—
1110#416—611no—
1111#416—611no—
1112#416—611no—
1113#416—611no—
1114#416—611no—
1115C2×#103—611no—
1116C2×#103—611no—
1117C2×#102—611no—
1118C2×#102C2×D6111yescharacteristic, complemented
1119C2×C22⋊C8—611no—
1120C2×C22⋊C8—611no—
1121C2×#97—611no—
1122C61#6114111yescharacteristic, complemented, Sylow
1123C2×#41—611no—
1124C2×#41—611no—
1125C2×#41—611no—
1126C2×#41—611no—
1127C2×#41—611no—
1128C2×#41—611no—
1129C2×#41—611no—
1130C2×#41—1221no—
1131C2×#41—1221no—
1132C2×#41—1221no—
1133C2×#41—1221no—
1134C2×#41—1221no—
1135C2×#41—1224no—
1136C2×#41—1224no—
1137C2×#41—2442no—
1138C2×#41—2442no—
1139C2×#41C22×D6111yescharacteristic
1140C22×Q8—611no—
1141C22×Q8—611no—
1142C22×D4—611no—
1143C22×D4—611no—
1144C22×D4—1221no—
1145C22×D4—1221no—
1146C22×D4—1221no—
1147C22×D4C22×D6111yescharacteristic
1148C23×C4—611no—
1149C23×C4—611no—
1150C23×C4—1221no—
1151C23×C4—1221no—
1152#135—1224no—
1153#135—2442no—
1154#135—2442no—
1155C2×Q16—611no—
1156C2×Q16—611no—
1157C2×Q16C22×D6111yescharacteristic
1158C2×SD16—611no—
1159C2×SD16—611no—
1160C2×SD16—611no—
1161C2×SD16—611no—
1162C2×SD16C22×D6111yescharacteristic
1163C2×SD16C22×D6111yescharacteristic
1164C2×D8—611no—
1165C2×D8—611no—
1166C2×D8—611no—
1167C2×M16—611no—
1168C2×M16—611no—
1169C2×M16—611no—
1170C2×M16—2442no—
1171C2×M16C22×D6111yescharacteristic
1172C22×C8—611no—
1173C22×C8—611no—
1174C22×C8—611no—
1175C22×C8—611no—
1176C22×C8—611no—
1177C22×C8—611no—
1178C22×C8—611no—
1179C22×C8—2442no—
1180C22×C8C22×D6111yescharacteristic
1181C4⋊Q8—611no—
1182C4⋊Q8—611no—
1183C4⋊Q8—1221no—
1184C4⋊Q8C22×D6111yescharacteristic
1185#127—611no—
1186#127—1221no—
1187#126—1221no—
1188#126—1221no—
1189#126—1221no—
1190#126—1221no—
1191#126—1221no—
1192#126—1221no—
1193#125—21no—
1194#125—611no—
1195#125—611no—
1196#125—1221no—
1197#125—1221no—
1198#124—611no—
1199#124—1221no—
1200#124—1221no—
1201#124—1221no—
1202#124—1221no—
1203#124—1221no—
1204#124C22×D6111yescharacteristic
1205#123—21no—
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—
1217#123—1221no—
1218#123—1221no—
1219C22⋊Q8—21no—
1220C22⋊Q8—21no—
1221C22⋊Q8—611no—
1222C22⋊Q8—611no—
1223C22⋊Q8—611no—
1224C22⋊Q8—611no—
1225C22⋊Q8—611no—
1226C22⋊Q8—1221no—
1227C22⋊Q8—1221no—
1228C22⋊Q8—1221no—
1229C22⋊Q8—1221no—
1230C22⋊Q8—1221no—
1231C22⋊Q8—1221no—
1232C22⋊Q8—1221no—
1233C22⋊Q8C22×D6111yescharacteristic
1234C22⋊Q8C22×D6111yescharacteristic
1235C22⋊Q8C22×D6111yescharacteristic
1236#121—21no—
1237#121—611no—
1238#121—611no—
1239#121—611no—
1240#121—611no—
1241#121—611no—
1242#121—611no—
1243#121—611no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121—1221no—
1251#121—1221no—
1252#121—1221no—
1253#121—1221no—
1254#121—1221no—
1255#121—1221no—
1256#121C22×D6111yescharacteristic
1257#120—21no—
1258#120—1221no—
1259#120—1221no—
1260#120—1221no—
1261#120—1221no—
1262#120—1221no—
1263#120—1221no—
1264#120—1221no—
1265C4×Q8—611no—
1266C4×Q8—611no—
1267C4×Q8—611no—
1268C4×Q8—1221no—
1269C4×Q8—1221no—
1270C4×Q8—1221no—
1271C4×Q8C22×D6111yescharacteristic
1272C4×D4—21no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—611no—
1280C4×D4—611no—
1281C4×D4—611no—
1282C4×D4—611no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4—1221no—
1297C4×D4—1221no—
1298C4×D4—1221no—
1299C4×D4—1221no—
1300C4×D4—1221no—
1301C4×D4—1221no—
1302C4×D4—1221no—
1303C4×D4C22×D6111yescharacteristic
1304C4×D4C22×D6111yescharacteristic
1305#117—611no—
1306#117—611no—
1307#117—611no—
1308#117—611no—
1309#117—611no—
1310#117—611no—
1311#117—611no—
1312#117—611no—
1313#117—1221no—
1314#117—1221no—
1315#117—1221no—
1316#117—1221no—
1317#117—1221no—
1318#117—1221no—
1319#117—1221no—
1320#117—1221no—
1321#117—1221no—
1322C2×C4⋊C4—611no—
1323C2×C4⋊C4—611no—
1324C2×C4⋊C4—611no—
1325C2×C4⋊C4—1221no—
1326C2×C4⋊C4C22×D6111yescharacteristic
1327C2×C4⋊C4C22×D6111yescharacteristic
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—611no—
1330C2×C22⋊C4—611no—
1331C2×C22⋊C4—1221no—
1332C2×C22⋊C4—1221no—
1333C2×C22⋊C4—1221no—
1334C2×C42—611no—
1335C2×C42—1221no—
1336C2×C42—1221no—
1337C2×C42—1221no—
1338C2×C42—1221no—
1339#107—611no—
1340#107—611no—
1341#107—611no—
1342#107C22×D6111yescharacteristic
1343#107C22×D6111yescharacteristic
1344#107C22×D6111yescharacteristic
1345#106—611no—
1346#106—611no—
1347#106—611no—
1348#106—611no—
1349#106—611no—
1350#106—611no—
1351C4⋊C8—611no—
1352C4⋊C8—611no—
1353C4⋊C8—611no—
1354C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1366#103—611no—
1367#103—611no—
1368#103—611no—
1369#103—611no—
1370#103—611no—
1371#103C22×D6111yescharacteristic
1372#103C22×D6111yescharacteristic
1373#103C22×D6111yescharacteristic
1374#103C22×D6111yescharacteristic
1375#102—611no—
1376#102—611no—
1377#102—611no—
1378#102—611no—
1379#102—611no—
1380#102—611no—
1381#102—611no—
1382#102—611no—
1383#102—611no—
1384#102—611no—
1385#102—611no—
1386#102—611no—
1387#102—611no—
1388#102—611no—
1389#102C22×D6111yescharacteristic
1390#102C22×D6111yescharacteristic
1391#102C22×D6111yescharacteristic
1392#102C22×D6111yescharacteristic
1393#102C22×D6111yescharacteristic
1394#102C22×D6111yescharacteristic
1395C22⋊C8—611no—
1396C22⋊C8—611no—
1397C22⋊C8—611no—
1398C22⋊C8—611no—
1399C22⋊C8—611no—
1400C22⋊C8—611no—
1401C22⋊C8C22×D6111yescharacteristic
1402C22⋊C8C22×D6111yescharacteristic
1403#97—611no—
1404#97—611no—
1405#97—611no—
1406#97C22×D6111yescharacteristic
1407C24—21no—
1408C24—611no—
1409C24—611no—
1410C24—1221no—
1411#41—22no—
1412#41—41no—
1413#41—614no—
1414#41—1222no—
1415#41—1222no—
1416#41—1222no—
1417#41—1222no—
1418#41—1222no—
1419#41—1222no—
1420#41—1222no—
1421#41—1222no—
1422#41—1222no—
1423#41—1222no—
1424#41—2441no—
1425#41—2444no—
1426#41—2444no—
1427#41—2444no—
1428#41—2441no—
1429#41—2441no—
1430#41—2444no—
1431#41—2444no—
1432C2×Q8—21no—
1433C2×Q8—611no—
1434C2×Q8—611no—
1435C2×Q8—1221no—
1436C2×Q8—1222no—
1437C2×Q8—1221no—
1438C2×Q8—1221no—
1439C2×Q8—1222no—
1440C2×Q8—2441no—
1441C2×Q8—2441no—
1442C2×Q8C23×D6111yescharacteristic
1443C2×Q8C23×D6111yescharacteristic
1444C2×D4—22no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—41no—
1449C2×D4—611no—
1450C2×D4—611no—
1451C2×D4—611no—
1452C2×D4—611no—
1453C2×D4—611no—
1454C2×D4—1221no—
1455C2×D4—1221no—
1456C2×D4—1221no—
1457C2×D4—1221no—
1458C2×D4—1221no—
1459C2×D4—1221no—
1460C2×D4—1221no—
1461C2×D4—1221no—
1462C2×D4—1221no—
1463C2×D4—1222no—
1464C2×D4—1221no—
1465C2×D4—1221no—
1466C2×D4—1221no—
1467C2×D4—1221no—
1468C2×D4—1221no—
1469C2×D4—1221no—
1470C2×D4—1221no—
1471C2×D4—1221no—
1472C2×D4—2441no—
1473C2×D4—2442no—
1474C2×D4—2444no—
1475C2×D4—2444no—
1476C2×D4—2444no—
1477C2×D4D4×D6111yescharacteristic
1478C2×D4C23×D6111yescharacteristic
1479C2×D4C23×D6111yescharacteristic
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—611no—
1485C22×C4—611no—
1486C22×C4—611no—
1487C22×C4—611no—
1488C22×C4—611no—
1489C22×C4—611no—
1490C22×C4—611no—
1491C22×C4—611no—
1492C22×C4—611no—
1493C22×C4—611no—
1494C22×C4—611no—
1495C22×C4—1222no—
1496C22×C4—1222no—
1497C22×C4—1222no—
1498C22×C4—1222no—
1499C22×C4—1221no—
1500C22×C4—1221no—
1501C22×C4—1221no—
1502C22×C4—1221no—
1503C22×C4—1221no—
1504C22×C4—1221no—
1505C22×C4—1221no—
1506C22×C4—1221no—
1507C22×C4—1221no—
1508C22×C4—1221no—
1509C22×C4—1221no—
1510C22×C4—1221no—
1511C22×C4—1221no—
1512C22×C4—1221no—
1513C22×C4—2444no—
1514C22×C4—2444no—
1515C22×C4C23×D6111yescharacteristic
1516C22×C4C23×D6111yescharacteristic
1517Q16—41no—
1518Q16—1222no—
1519Q16—2441no—
1520SD16—22no—
1521SD16—41no—
1522SD16—1222no—
1523SD16—2441no—
1524SD16—2441no—
1525SD16—2441no—
1526D8—1222no—
1527D8—2441no—
1528D8—2441no—
1529M16—41no—
1530M16—2441no—
1531M16—2441no—
1532M16—2441no—
1533C2×C8—41no—
1534C2×C8—611no—
1535C2×C8—611no—
1536C2×C8—611no—
1537C2×C8—611no—
1538C2×C8—1222no—
1539C2×C8—1222no—
1540C2×C8—1222no—
1541C2×C8—1222no—
1542C2×C8—2441no—
1543C2×C8—2441no—
1544C2×C8—2441no—
1545C2×C8C23×D6111yescharacteristic
1546C2×C8C23×D6111yescharacteristic
1547C2×C8C23×D6111yescharacteristic
1548C2×C8C23×D6111yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—611no—
1557C4⋊C4—611no—
1558C4⋊C4—611no—
1559C4⋊C4—611no—
1560C4⋊C4—611no—
1561C4⋊C4—611no—
1562C4⋊C4—611no—
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⋊C4—1221no—
1579C4⋊C4—1221no—
1580C4⋊C4D4×D6111yescharacteristic
1581C4⋊C4C23×D6111yescharacteristic
1582C4⋊C4C23×D6111yescharacteristic
1583C4⋊C4C23×D6111yescharacteristic
1584C4⋊C4C23×D6111yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—611no—
1593C22⋊C4—611no—
1594C22⋊C4—611no—
1595C22⋊C4—611no—
1596C22⋊C4—611no—
1597C22⋊C4—611no—
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⋊C4—1221no—
1617C22⋊C4—1221no—
1618C22⋊C4—1221no—
1619C22⋊C4—1221no—
1620C22⋊C4—1221no—
1621C22⋊C4—1221no—
1622C22⋊C4—1221no—
1623C22⋊C4D4×D6111yescharacteristic
1624C22⋊C4D4×D6111yescharacteristic
1625C42—21no—
1626C42—611no—
1627C42—611no—
1628C42—611no—
1629C42—1221no—
1630C42—1221no—
1631C42—1221no—
1632C42—1221no—
1633C42—1221no—
1634C42—1221no—
1635C42—1221no—
1636C42—1221no—
1637C42—1221no—
1638C42—1221no—
1639C42—1221no—
1640C42C23×D6111yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—42no—
1644C23—42no—
1645C23—81no—
1646C23—611no—
1647C23—611no—
1648C23—611no—
1649C23—1222no—
1650C23—1222no—
1651C23—1222no—
1652C23—1221no—
1653C23—1221no—
1654C23—4881no—
1655C23—2441no—
1656C23—2441no—
1657C23—2441no—
1658C23—2442no—
1659C23—2442no—
1660C23C2×D4×D6111yescharacteristic
1661C23C2×D4×D6111yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—81no—
1667Q8—612no—
1668Q8—1221no—
1669Q8—1221no—
1670Q8—1221no—
1671Q8—2442no—
1672Q8—2442no—
1673Q8—2442no—
1674D4—22no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—42no—
1679D4—42no—
1680D4—81no—
1681D4—1224no—
1682D4—1222no—
1683D4—1221no—
1684D4—1221no—
1685D4—1221no—
1686D4—1221no—
1687D4—4881no—
1688D4—4881no—
1689D4—4881no—
1690D4—4881no—
1691D4—2441no—
1692D4—2442no—
1693D4—2442no—
1694D4—2441no—
1695D4—2442no—
1696D4—2442no—
1697D4—2442no—
1698D4—2442no—
1699D4—2442no—
1700D4—2442no—
1701D4—2442no—
1702D4—2442no—
1703D4—2442no—
1704D4—2442no—
1705D4#41×D6112yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—42no—
1717C2×C4—81no—
1718C2×C4—81no—
1719C2×C4—81no—
1720C2×C4—611no—
1721C2×C4—612no—
1722C2×C4—612no—
1723C2×C4—611no—
1724C2×C4—611no—
1725C2×C4—611no—
1726C2×C4—611no—
1727C2×C4—1222no—
1728C2×C4—1222no—
1729C2×C4—1222no—
1730C2×C4—1222no—
1731C2×C4—1222no—
1732C2×C4—1222no—
1733C2×C4—1224no—
1734C2×C4—1221no—
1735C2×C4—1221no—
1736C2×C4—1221no—
1737C2×C4—1221no—
1738C2×C4—1221no—
1739C2×C4—1221no—
1740C2×C4—1221no—
1741C2×C4—1221no—
1742C2×C4—1221no—
1743C2×C4—1221no—
1744C2×C4—4881no—
1745C2×C4—2441no—
1746C2×C4—2441no—
1747C2×C4—2442no—
1748C2×C4—2442no—
1749C2×C4—2442no—
1750C2×C4—2442no—
1751C2×C4—2442no—
1752C2×C4—2442no—
1753C2×C4—2442no—
1754C2×C4—2442no—
1755C2×C4—2442no—
1756C2×C4—2442no—
1757C2×C4—2442no—
1758C2×C4—2442no—
1759C2×C4C2×D4×D6111yescharacteristic
1760C2×C4C2×D4×D6111yescharacteristic
1761C2×C4C2×D4×D6111yescharacteristic
1762C2×C4C2×D4×D6111yescharacteristic
1763C2×C4C24×D6111yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1221no—
1769C8—1221no—
1770C8—1221no—
1771C8—1221no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—22no—
1776C22—21no—
1777C22—21no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—84no—
1784C22—612no—
1785C22—1221no—
1786C22—1221no—
1787C22—1221no—
1788C22—1221no—
1789C22—1221no—
1790C22—1221no—
1791C22—1221no—
1792C22—1221no—
1793C22—4882no—
1794C22—4884no—
1795C22—2444no—
1796C22—2441no—
1797C22—2441no—
1798C22—2441no—
1799C22—2441no—
1800C22—2441no—
1801C22—2441no—
1802C22#1684056112yes—
1803C22C22×D4×D6111yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—612no—
1815C4—1221no—
1816C4—1221no—
1817C4—1222no—
1818C4—1221no—
1819C4—1221no—
1820C4—2441no—
1821C4—2441no—
1822C4—2441no—
1823C4—2441no—
1824C4—2441no—
1825C4C2×#41×D6111yescharacteristic
1826C4H(5,𝔽2)×D6111yescharacteristic
1827C2—22no—
1828C2—41no—
1829C2—42no—
1830C2—81no—
1831C2—1222no—
1832C2—4881no—
1833C2—4881no—
1834C2—2441no—
1835C2—2441no—
1836C2#546×D6111yescharacteristic
1837C2C2×#1684056111yescharacteristic
1838C2#2146058711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3314C2
socleC22×C61C23×D4
hypercenter#3314D61
hypocenterC61#61141
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #21459385C2semidirect
2. #21459303C2semidirect
3. #21458004C2semidirect
4. #21457988C2semidirect
5. #21457972C2semidirect
6. #21457956C2semidirect
7. #21457940C2semidirect
8. #21457924C2semidirect
9. #21457908C2semidirect
10. #21457892C2semidirect
11. #21457876C2semidirect
12. #21457860C2semidirect
13. #21457844C2semidirect
14. #21457828C2semidirect
15. #21457812C2semidirect
16. #21457796C2semidirect
17. #21457780C2semidirect
18. #21456161C2semidirect
19. #21455735C2semidirect
20. #21455727C2semidirect
21. #21455600C2semidirect
22. #21455423C2semidirect
23. #21455402C2semidirect
24. #21455273C2semidirect
25. #21455040C2semidirect
26. #21455038C2semidirect
27. #21454614C2semidirect
28. #435×D61C2semidirect
29. #21454335C2semidirect
30. C2×#16839755C2semidirect
31. C61×#3314C2semidirect
34. C2×#14519800C22semidirect
36. C2×#14519798C22semidirect
37. C2×M16×D61C22semidirect
38. C22×C8×D61C22semidirect
39. #16840485C22semidirect
40. #16840478C22semidirect
42. #16840460C22semidirect
44. #16840454C22semidirect
52. #16840416C22semidirect
61. #16840317C22semidirect
68. #16840275C22semidirect
69. #16840275C22semidirect
73. C4×#11758226C22semidirect
78. C2×#14519735C22semidirect
79. C2×#14519735C22semidirect
80. #16840129C22semidirect
81. #16840129C22semidirect
82. #16840125C22semidirect
83. #16840125C22semidirect
84. #16840124C22semidirect
85. #16840122C22semidirect
86. #16840121C22semidirect
87. #16840105C22semidirect
88. #16840105C22semidirect
89. #16840102C22semidirect
90. #16840102C22semidirect
91. #16840098C22semidirect
92. #16840092C22semidirect
93. #16840090C22semidirect
94. #16840089C22semidirect
95. #16840089C22semidirect
96. #16840084C22semidirect
97. #16840084C22semidirect
98. #16840080C22semidirect
99. #16840078C22semidirect
100. #16840076C22semidirect
101. #16840068C22semidirect
102. #16840068C22semidirect
103. #16840060C22semidirect
104. #16840060C22semidirect
105. #16840058C22semidirect
106. #16840052C22semidirect
107. #16840044C22semidirect
108. #16840019C22semidirect
109. #16840018C22semidirect
110. #16840014C22semidirect
111. #16840013C22semidirect
112. #16840009C22semidirect
113. #16840008C22semidirect
114. #16840005C22semidirect
115. #16840000C22semidirect
116. #16839999C22semidirect
117. #16839998C22semidirect
118. #16839994C22semidirect
119. #16839994C22semidirect
120. #16839993C22semidirect
121. #16839993C22semidirect
122. #16839984C22semidirect
123. #16839978C22semidirect
124. #16839974C22semidirect
125. #16839970C22semidirect
126. #16839966C22semidirect
127. #16839960C22semidirect
128. #16839956C22semidirect
129. #16839922C22semidirect
130. #16839921C22semidirect
131. #16839921C22semidirect
132. #16839917C22semidirect
133. #16839916C22semidirect
134. #16839911C22semidirect
135. #16839909C22semidirect
136. #16839908C22semidirect
137. #16839908C22semidirect
138. #16839907C22semidirect
139. #16839903C22semidirect
140. #16839902C22semidirect
141. #16839897C22semidirect
142. #16839896C22semidirect
143. #16839872C22semidirect
144. #16839871C22semidirect
145. #16839867C22semidirect
146. #16839866C22semidirect
147. #16839864C22semidirect
148. #16839863C22semidirect
149. #16839861C22semidirect
150. #16839836C22semidirect
151. #16839835C22semidirect
152. #16839834C22semidirect
154. #16839832C22semidirect
155. #16839831C22semidirect
157. #16839799C22semidirect
158. #16839799C22semidirect
159. #16839799C22semidirect
160. C4⋊C8×D61C22semidirect
161. #16839769C22semidirect
162. #16839769C22semidirect
163. #16839765C22semidirect
164. #16839765C22semidirect
165. #16839764C22semidirect
166. #16839763C22semidirect
167. #16839761C22semidirect
168. #16839757C22semidirect
169. #16839757C22semidirect
170. #16839757C22semidirect
171. #16839757C22semidirect
175. #16839755C22semidirect
176. #16839755C22semidirect
177. #16839755C22semidirect
178. #16839755C22semidirect
179. #16839755C22semidirect
180. #16839755C22semidirect
181. #16839755C22semidirect
182. C2×#14519702C22semidirect
183. C2×#14519700C22semidirect
184. C2×#14519698C22semidirect
185. C22⋊C8×D61C22semidirect
186. C22⋊C8×D61C22semidirect
187. #97×D61C22semidirect
188. C61×#554C22semidirect
190. C61×#489C22semidirect
191. C61×#484C22semidirect
192. C61×#480C22semidirect
193. C61×#474C22semidirect
194. C61×#468C22semidirect
195. C61×#467C22semidirect
196. C61×#464C22semidirect
197. C61×#452C22semidirect
198. C61×#450C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
202. C2×#102×C61C22semidirect
554. #11758224#41semidirect
917. #3314D61semidirect
960. #554C2×D61semidirect
1008. #489C2×D61semidirect
1014. #484C2×D61semidirect
1024. #480C2×D61semidirect
1032. #474C2×D61semidirect
1040. #468C2×D61semidirect
1042. #467C2×D61semidirect
1050. #464C2×D61semidirect
1060. #452C2×D61semidirect
1064. #450C2×D61semidirect
1080. #440C2×D61semidirect
1088. #435C2×D61semidirect
1100. #417C2×D61semidirect
1118. C2×#102C2×D61semidirect
1122. C61#61141semidirect

Maximal subgroups

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

subgroupindex
#214593852
#214593032
#214580042
#214579882
#214579722
#214579562
#214579402
#214579242
#214579082
#214578922
#214578762
#214578602
#214578442
#214578282
#214578122
#214577962
#214577802
#214561612
#214557352
#214557272
#214556002
#214554232
#214554022
#214552732
#214550402
#214550382
#214546142
#435×D612
#214543352
C2×#168397552
C61×#33142
#6114161