Finite Group Databasebeta

← #30573427

Subgroups — #30573427

Order 15616.

1792 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459799C211yesmaximal, characteristic, complemented
2#21458872C211yesmaximal, characteristic, complemented
3#21458850C211yesmaximal, characteristic, complemented
4#21458640C211yesmaximal, characteristic, complemented
5#21458566C211yesmaximal, characteristic, complemented
6#21457945C211yesmaximal, characteristic, complemented
7#21457930C211yesmaximal, characteristic, complemented
8#21457915C211yesmaximal, characteristic, complemented
9#21457900C211yesmaximal, characteristic, complemented
10#21457706C211yesmaximal, characteristic, complemented
11#21457654C211yesmaximal, characteristic, complemented
12#21457549C211yesmaximal, characteristic, complemented
13#21457537C211yesmaximal, characteristic, complemented
14#21457375C211yesmaximal, characteristic, complemented
15#21457375C211yesmaximal, characteristic, complemented
16#21457340C211yesmaximal, characteristic, complemented
17#21457340C211yesmaximal, characteristic, complemented
18#21457269C211yesmaximal, characteristic, complemented
19#21457265C211yesmaximal, characteristic, complemented
20#21457156C211yesmaximal, characteristic, complemented
21#21456902C211yesmaximal, characteristic, complemented
22#21456891C211yesmaximal, characteristic, complemented
23#21456830C211yesmaximal, characteristic, complemented
24#21456027C211yesmaximal, characteristic, complemented
25#21456012C211yesmaximal, characteristic, complemented
26#21455922C211yesmaximal, characteristic, complemented
27#21455365C211yesmaximal, characteristic, complemented
28#21455354C211yesmaximal, characteristic, complemented
29#21455268C211yesmaximal, characteristic, complemented
30#21454958C211yesmaximal, characteristic, complemented
31C61×#3562C211yesmaximal, characteristic, complemented
32C2×#14519808C2211yescharacteristic, complemented
33C2×#14519803C2211yescharacteristic
34C2×#14519797C2211yescharacteristic
35C2×#14519797C2211yescharacteristic
36C2×#14519797C2211yescharacteristic
37C2×#14519797C2211yescharacteristic, complemented
38#16840491C2211yescharacteristic, complemented
39#16840472C2211yescharacteristic, complemented
40#16840469C2211yescharacteristic
41#16840459—21no—
42#16840452C2211yescharacteristic
43#16840452C2211yescharacteristic, complemented
44#16840448—21no—
45#16840448—21no—
46#16840446—21no—
47#16840417C2211yescharacteristic
48#16840417C2211yescharacteristic
49#16840417C2211yescharacteristic, complemented
50#16840374C2211yescharacteristic
51#16840374C2211yescharacteristic, complemented
52#16840355—21no—
53#16840355—21no—
54#16840319C2211yescharacteristic, complemented
55#16840291—21no—
56#125×D61—21no—
57#16840242C2211yescharacteristic
58#16840242C2211yescharacteristic, complemented
59C4×#11758222C2211yescharacteristic, complemented
60#16840157C2211yescharacteristic
61#16840157C2211yescharacteristic
62#16840157C2211yescharacteristic
63#16840157C2211yescharacteristic, complemented
64#16840141C2211yescharacteristic, complemented
65#16840134C2211yescharacteristic
66#16840130C2211yescharacteristic, complemented
67#16840126C2211yescharacteristic
68#16840121C2211yescharacteristic
69#16840121C2211yescharacteristic, complemented
70#16840116C2211yescharacteristic
71#16840116C2211yescharacteristic
72#16840100C2211yescharacteristic, complemented
73#16840095C2211yescharacteristic
74#16840090C2211yescharacteristic
75#16840083C2211yescharacteristic
76#16840078C2211yescharacteristic, complemented
77#16840073C2211yescharacteristic
78#16840069C2211yescharacteristic, complemented
79#16840069C2211yescharacteristic, complemented
80#16840066C2211yescharacteristic, complemented
81#16840066C2211yescharacteristic, complemented
82#16840066C2211yescharacteristic, complemented
83#16840062C2211yescharacteristic
84#16840062C2211yescharacteristic, complemented
85#16840059C2211yescharacteristic, complemented
86#16840047C2211yescharacteristic, complemented
87#16840042C2211yescharacteristic
88#16840018C2211yescharacteristic
89#16840018C2211yescharacteristic
90#16840006C2211yescharacteristic
91#16840006C2211yescharacteristic, complemented
92#16840001C2211yescharacteristic
93#16840001C2211yescharacteristic
94#16840001C2211yescharacteristic, complemented
95#16840001C2211yescharacteristic, complemented
96#16839989C2211yescharacteristic
97#16839989C2211yescharacteristic
98#16839989C2211yescharacteristic
99#16839989C2211yescharacteristic, complemented
100#16839981C2211yescharacteristic
101#16839981C2211yescharacteristic
102#16839981C2211yescharacteristic
103#16839981C2211yescharacteristic
104#16839981C2211yescharacteristic
105#16839981C2211yescharacteristic
106#16839981C2211yescharacteristic, complemented
107#16839974C2211yescharacteristic
108#16839974C2211yescharacteristic
109#16839974C2211yescharacteristic
110#16839974C2211yescharacteristic
111#16839974C2211yescharacteristic, complemented
112#16839972C2211yescharacteristic, complemented
113#16839972C2211yescharacteristic, complemented
114#16839972C2211yescharacteristic, complemented
115#16839969C2211yescharacteristic, complemented
116#16839969C2211yescharacteristic, complemented
117#16839969C2211yescharacteristic, complemented
118#16839969C2211yescharacteristic, complemented
119#16839967C2211yescharacteristic
120#16839967C2211yescharacteristic
121#16839967C2211yescharacteristic, complemented
122#16839964C2211yescharacteristic, complemented
123#16839964C2211yescharacteristic, complemented
124#16839959C2211yescharacteristic
125#16839959C2211yescharacteristic
126#16839959C2211yescharacteristic
127#16839959C2211yescharacteristic
128#16839954C2211yescharacteristic
129#16839954C2211yescharacteristic
130#16839924C2211yescharacteristic
131#16839924C2211yescharacteristic
132#16839924C2211yescharacteristic
133#16839924C2211yescharacteristic
134#16839924C2211yescharacteristic
135#16839924C2211yescharacteristic
136#16839924C2211yescharacteristic, complemented
137#16839924C2211yescharacteristic, complemented
138#16839922C2211yescharacteristic
139#16839922C2211yescharacteristic
140#16839922C2211yescharacteristic, complemented
141#16839918C2211yescharacteristic, complemented
142#16839918C2211yescharacteristic, complemented
143#16839913C2211yescharacteristic
144#16839913C2211yescharacteristic
145#16839905C2211yescharacteristic
146#16839905C2211yescharacteristic
147#16839905C2211yescharacteristic, complemented
148#16839893C2211yescharacteristic, complemented
149#16839893C2211yescharacteristic, complemented
150#16839872C2211yescharacteristic
151#16839872C2211yescharacteristic
152#16839867C2211yescharacteristic, complemented
153#16839867C2211yescharacteristic, complemented
154#16839862C2211yescharacteristic
155#16839862C2211yescharacteristic, complemented
156#16839860C2211yescharacteristic, complemented
157#16839860C2211yescharacteristic, complemented
158C4×#11758202C2211yescharacteristic, complemented
159C4×#11758201C2211yescharacteristic, complemented
160C4×#11758200C2211yescharacteristic
161C4×#11758199C2211yescharacteristic, complemented
162#16839834C2211yescharacteristic
163#16839834C2211yescharacteristic
164#16839834C2211yescharacteristic
165#16839834C2211yescharacteristic, complemented
166D4×#92418C2211yescharacteristic
167D4×#92418C2211yescharacteristic, complemented
168#16839823C2211yescharacteristic
169#16839823C2211yescharacteristic, complemented
170#16839819C2211yescharacteristic, complemented
171#16839789C2211yescharacteristic
172#16839789C2211yescharacteristic, complemented
173C2×C4⋊#92418C2211yescharacteristic, complemented
174#16839763C2211yescharacteristic
175#16839763C2211yescharacteristic
176#16839758C2211yescharacteristic
177#16839758C2211yescharacteristic, complemented
178C2×#14519701C2211yescharacteristic, complemented
179C2×#14519698C2211yescharacteristic
180C61×#562—21no—
181C61×#560—21no—
182C61×#559C2211yescharacteristic
183C61×#556C2211yescharacteristic
184C61×#553—21no—
185C61×#551—21no—
186C61×#550C2211yescharacteristic
187C61×#548C2211yescharacteristic
188C61×#548C2211yescharacteristic
189C61×#547C2211yescharacteristic
190C61×#546C2211yescharacteristic
191C61×#546C2211yescharacteristic
192C61×#541C2211yescharacteristic
193C61×#540—21no—
194C61×#540C2211yescharacteristic
195C61×#539—21no—
196C61×#538—21no—
197C61×#538—21no—
198C61×#536C2211yescharacteristic
199C61×#535C2211yescharacteristic
200C61×#532C2211yescharacteristic
201C61×#529C2211yescharacteristic
202C61×#529C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206#14519808—42no—
207#14519803—42no—
208#14519797—42no—
209#14519797—42no—
210#14519797—42no—
211#14519797—42no—
212C2×#11758202C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758200C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×#11758199C2311yescharacteristic
234C2×#11758199C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758194C2311yescharacteristic
237C2×#11758194C2311yescharacteristic
238C22×#92418C2311yescharacteristic
239C22×#92418C2311yescharacteristic
240C22×#92418C2311yescharacteristic
241C22×#92418C2311yescharacteristic
242#14519777C2311yescharacteristic
243#14519777C2311yescharacteristic
244#14519777C2311yescharacteristic
245#14519777C2311yescharacteristic
246#14519770—21no—
247#14519770—21no—
248#14519770—21no—
249#14519770—21no—
250#14519770—21no—
251#14519770—21no—
252#14519769—21no—
253#14519769C2311yescharacteristic
254#14519769C2311yescharacteristic
255#14519768—21no—
256#14519768—21no—
257#14519768—21no—
258#14519768—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519759—21no—
266#14519759—21no—
267#14519759—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519758—21no—
272#14519758—21no—
273#14519756—21no—
274#14519756C2311yescharacteristic
275#14519756C2311yescharacteristic
276#14519756C2311yescharacteristic
277#14519756C2311yescharacteristic
278#14519756C2311yescharacteristic
279#14519756C2311yescharacteristic
280#14519755—21no—
281#14519755—21no—
282#14519754—21no—
283#14519754—21no—
284#14519753—21no—
285#14519748—21no—
286#14519748—21no—
287#14519748—21no—
288Q8×Dic61—21no—
289C4×Dic122—21no—
290C4×Dic122C2311yescharacteristic
291C4×Dic122C2311yescharacteristic
292C4×Dic122C2311yescharacteristic
293C4×Dic122C2311yescharacteristic
294C4×Dic122C2311yescharacteristic
295C4×Dic122C2311yescharacteristic
296C4×D244C2311yescharacteristic
297C4×D244C2311yescharacteristic
298C4×D244C2311yescharacteristic
299C4×D244C2311yescharacteristic
300D4×Dic61—21no—
301C4×C22⋊D61—21no—
302C4×C22⋊D61—21no—
303#14519737—21no—
304#14519737—21no—
305#14519737—21no—
306#14519737—21no—
307#14519736—21no—
308#14519736C2311yescharacteristic
309#14519735—21no—
310#14519735—21no—
311#14519734—21no—
312#14519733—21no—
313#14519733—21no—
314C2×C4⋊Dic61C2311yescharacteristic
315C2×C4⋊Dic61C2311yescharacteristic
316C4⋊C4×D61—21no—
317C4⋊C4×D61—21no—
318C4⋊C4×D61—21no—
319C4⋊C4×D61—21no—
320C4⋊C4×D61—21no—
321C4⋊C4×D61—21no—
322C42×D61—21no—
323#14519710C2311yescharacteristic
324#14519710C2311yescharacteristic
325#14519710C2311yescharacteristic
326#14519710C2311yescharacteristic
327#14519708C2311yescharacteristic
328#14519708C2311yescharacteristic
329#14519708C2311yescharacteristic
330#14519708C2311yescharacteristic
331C4⋊#92418C2311yescharacteristic
332C4⋊#92418C2311yescharacteristic
333C4⋊#92418C2311yescharacteristic
334C4⋊#92418C2311yescharacteristic
335C4⋊#92418C2311yescharacteristic
336C4⋊#92418C2311yescharacteristic
337C4⋊#92418C2311yescharacteristic
338C4⋊#92418C2311yescharacteristic
339C4⋊#92418C2311yescharacteristic
340C4⋊#92418C2311yescharacteristic
341#14519701C2311yescharacteristic
342#14519701C2311yescharacteristic
343#14519701C2311yescharacteristic
344#14519701C2311yescharacteristic
345#14519701C2311yescharacteristic
346#14519701C2311yescharacteristic
347#14519701C2311yescharacteristic
348#14519701C2311yescharacteristic
349#14519701C2311yescharacteristic
350#14519701C2311yescharacteristic
351#14519701C2311yescharacteristic
352#14519701C2311yescharacteristic
353#14519700C2311yescharacteristic
354#14519700C2311yescharacteristic
355#14519700C2311yescharacteristic
356#14519700C2311yescharacteristic
357#14519700C2311yescharacteristic
358#14519700C2311yescharacteristic
359#14519698C2311yescharacteristic
360#14519698C2311yescharacteristic
361#14519698C2311yescharacteristic
362#14519698C2311yescharacteristic
363#14519698C2311yescharacteristic
364#14519698C2311yescharacteristic
365#14519698C2311yescharacteristic
366#14519698C2311yescharacteristic
367#14519698C2311yescharacteristic
368#14519698C2311yescharacteristic
369#14519698C2311yescharacteristic
370#14519698C2311yescharacteristic
371#14519697C2311yescharacteristic
372#14519697C2311yescharacteristic
373C22⋊#92418C2311yescharacteristic
374C22⋊#92418C2311yescharacteristic
375C22⋊#92418C2311yescharacteristic
376C22⋊#92418C2311yescharacteristic
377C22⋊#92418C2311yescharacteristic
378C22⋊#92418C2311yescharacteristic
379#14519688C2311yescharacteristic
380#14519688C2311yescharacteristic
381#14519688C2311yescharacteristic
382#14519688C2311yescharacteristic
383C4×#92418C2311yescharacteristic
384C4×#92418C2311yescharacteristic
385C2×#41×C61C2311yescharacteristic
386C2×#41×C61C2311yescharacteristic
387C2×#41×C61C2311yescharacteristic
388C2×#41×C61C2311yescharacteristic
389C22×Q8×C61C2311yescharacteristic
390C22×D4×C61C2311yescharacteristic
391C4⋊Q8×C61C2311yescharacteristic
392C4⋊Q8×C61C2311yescharacteristic
393#127×C61—21no—
394#127×C61C2311yescharacteristic
395#127×C61C2311yescharacteristic
396#126×C61—21no—
397#126×C61—21no—
398#126×C61—21no—
399#126×C61—21no—
400#126×C61—21no—
401#126×C61D411yescharacteristic
402#126×C61D411yescharacteristic
403#125×C61—21no—
404#125×C61—21no—
405#125×C61D411yescharacteristic
406#125×C61C2311yescharacteristic
407#124×C61—21no—
408#124×C61—21no—
409#124×C61—21no—
410#124×C61D411yescharacteristic
411#124×C61C2311yescharacteristic
412#124×C61C2311yescharacteristic
413#124×C61C2311yescharacteristic
414#124×C61C2311yescharacteristic
415#124×C61C2311yescharacteristic
416#123×C61—21no—
417#123×C61—21no—
418#123×C61—21no—
419#123×C61—21no—
420#123×C61—21no—
421#123×C61—21no—
422#123×C61—21no—
423#123×C61—21no—
424#123×C61—21no—
425#123×C61—21no—
426#123×C61—21no—
427#123×C61D411yescharacteristic
428#123×C61D411yescharacteristic
429C22⋊Q8×C61—21no—
430C22⋊Q8×C61—21no—
431C22⋊Q8×C61—21no—
432C22⋊Q8×C61—21no—
433C22⋊Q8×C61—21no—
434C22⋊Q8×C61D411yescharacteristic
435C22⋊Q8×C61C2311yescharacteristic
436C22⋊Q8×C61C2311yescharacteristic
437C22⋊Q8×C61C2311yescharacteristic
438#121×C61—21no—
439#121×C61—21no—
440#121×C61—21no—
441#121×C61—21no—
442#121×C61—21no—
443#121×C61—21no—
444#121×C61—21no—
445#121×C61—21no—
446#121×C61—21no—
447#121×C61—21no—
448#121×C61—21no—
449#121×C61—21no—
450#121×C61—21no—
451#121×C61D411yescharacteristic
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454#121×C61C2311yescharacteristic
455#120×C61—21no—
456#120×C61—21no—
457#120×C61—21no—
458#120×C61—21no—
459C4×Q8×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×Q8×C61C2311yescharacteristic
462C4×Q8×C61C2311yescharacteristic
463C4×D4×C61—21no—
464C4×D4×C61—21no—
465C4×D4×C61—21no—
466C4×D4×C61—21no—
467C4×D4×C61—21no—
468C4×D4×C61—21no—
469C4×D4×C61—21no—
470C4×D4×C61C2311yescharacteristic
471C4×D4×C61C2311yescharacteristic
472C4×D4×C61C2311yescharacteristic
473C4×D4×C61C2311yescharacteristic
474C4×D4×C61C2311yescharacteristic
475C4×D4×C61C2311yescharacteristic
476#117×C61—21no—
477#117×C61—21no—
478#117×C61C2311yescharacteristic
479#117×C61C2311yescharacteristic
480C2×C4⋊C4×C61—21no—
481C2×C22⋊C4×C61—21no—
482C2×C22⋊C4×C61—21no—
483C2×C42×C61C2311yescharacteristic
484C24×C61—21no—
485#41×C61—41no—
486#41×C61—41no—
487#41×C61—41no—
488#41×C61—41no—
489#41×C61—41no—
490#41×C61—41no—
491#41×C61—41no—
492#41×C61—41no—
493C2×Q8×C61—21no—
494C2×Q8×C61—41no—
495C2×Q8×C61—41no—
496C2×Q8×C61C2×D411yescharacteristic
497C2×Q8×C61C2411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×Q8×C61C2411yescharacteristic
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
511C2×D4×C61—21no—
512C2×D4×C61—41no—
513C2×D4×C61—41no—
514C2×D4×C61C2×D411yescharacteristic
515C2×D4×C61C2×D411yescharacteristic
516C2×D4×C61C2×D411yescharacteristic
517C2×D4×C61C2411yescharacteristic
518C2×D4×C61C2411yescharacteristic
519C2×D4×C61C2411yescharacteristic
520C22×C4×C61—21no—
521C22×C4×C61—21no—
522C22×C4×C61—21no—
523C22×C4×C61—21no—
524C22×C4×C61—21no—
525C22×C4×C61—21no—
526C22×C4×C61—21no—
527C22×C4×C61—21no—
528C22×C4×C61C2×D411yescharacteristic
529C22×C4×C61C2×D411yescharacteristic
530C22×C4×C61C2411yescharacteristic
531C22×C4×C61C2411yescharacteristic
532C22×C4×C61C2411yescharacteristic
533C2×C22⋊D61—21no—
534C2×C22⋊D61—21no—
535C2×C22⋊D61—21no—
536C22×Dic61—21no—
537C22×Dic61—21no—
538#11758222—22no—
539#11758222—22no—
540#11758222—22no—
541#11758222—41no—
542#11758222—41no—
543#11758222—41no—
544C2×D244C2411yescharacteristic
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61—21no—
549C2×C4×D61—21no—
550C2×C4×D61—21no—
551C2×C4×D61—21no—
552C2×Dic122—21no—
553C2×Dic122C2411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61C2×D411yescharacteristic
569C4⋊C4×C61C2×D411yescharacteristic
570C4⋊C4×C61C2×D411yescharacteristic
571C4⋊C4×C61C2×D411yescharacteristic
572C4⋊C4×C61C2×D411yescharacteristic
573C4⋊C4×C61C2×D411yescharacteristic
574C4⋊C4×C61C2×D411yescharacteristic
575C4⋊C4×C61C2×D411yescharacteristic
576C4⋊C4×C61C2×D411yescharacteristic
577C4⋊C4×C61C2×D411yescharacteristic
578C4⋊C4×C61C2411yescharacteristic
579C4⋊C4×C61C2411yescharacteristic
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61C2×D411yescharacteristic
600C22⋊C4×C61C2×D411yescharacteristic
601C22⋊C4×C61C2×D411yescharacteristic
602C22⋊C4×C61C2×D411yescharacteristic
603C22⋊C4×C61C2×D411yescharacteristic
604C22⋊C4×C61C2×D411yescharacteristic
605C22⋊C4×C61C2×D411yescharacteristic
606C22⋊C4×C61C2×D411yescharacteristic
607C22⋊C4×C61C2×D411yescharacteristic
608C22⋊C4×C61C2×D411yescharacteristic
609C42×C61—21no—
610C42×C61—21no—
611C42×C61—21no—
612C42×C61C2×D411yescharacteristic
613C42×C61C2×D411yescharacteristic
614C42×C61C2411yescharacteristic
615C42×C61C2411yescharacteristic
616C42×C61C2411yescharacteristic
617C42×C61C2411yescharacteristic
618C22⋊Dic61—21no—
619C22⋊Dic61—21no—
620C22⋊Dic61—21no—
621C22⋊Dic61—21no—
622C22⋊Dic61—21no—
623C22⋊Dic61—21no—
624C22⋊Dic61—21no—
625#11758202—41no—
626#11758202—41no—
627#11758202—41no—
628#11758202—41no—
629#11758202—41no—
630#11758202—41no—
631#11758202—41no—
632#11758202—41no—
633#11758202—41no—
634#11758201—22no—
635#11758201—22no—
636#11758201—22no—
637#11758200—41no—
638#11758200—41no—
639#11758200—41no—
640#11758200—41no—
641#11758200—41no—
642#11758200—41no—
643#11758200—41no—
644#11758200—41no—
645#11758200—41no—
646#11758199—22no—
647#11758199—22no—
648#11758199—22no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61—21no—
657C4⋊Dic61—21no—
658C4⋊Dic61—21no—
659C4⋊Dic61—21no—
660C4⋊Dic61—21no—
661C4⋊Dic61—21no—
662C4⋊Dic61C2411yescharacteristic
663C4⋊Dic61C2411yescharacteristic
664C4⋊Dic61C2411yescharacteristic
665C4⋊Dic61C2411yescharacteristic
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61—21no—
688C4×Dic61—21no—
689#11758194—41no—
690#11758194—41no—
691C2×#92418—41no—
692C2×#92418—41no—
693C2×#92418—41no—
694C2×#92418—41no—
695C2×#92418C2411yescharacteristic
696C2×#92418C2411yescharacteristic
697C2×#92418C2411yescharacteristic
698C2×#92418C2411yescharacteristic
699C2×#92418C2411yescharacteristic
700C2×#92418C2411yescharacteristic
701C2×#92418C2411yescharacteristic
702C2×#92418C2411yescharacteristic
703C23×C61—21no—
704C23×C61—21no—
705C23×C61—21no—
706C23×C61—81no—
707C23×C61—81no—
708C23×C61—81no—
709C23×C61C22×D411yescharacteristic
710C23×C61C22×D411yescharacteristic
711C23×C61C22×D411yescharacteristic
712C22×D61—21no—
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61—21no—
719Q8×C61—41no—
720Q8×C61—81no—
721D4×C61—21no—
722D4×C61—21no—
723D4×C61—21no—
724D4×C61—21no—
725D4×C61—21no—
726D4×C61—21no—
727D4×C61—41no—
728D4×C61—41no—
729D4×C61—41no—
730D4×C61—81no—
731D4×C61—81no—
732D4×C61—81no—
733D4×C61—81no—
734D4×C61—81no—
735D4×C61—81no—
736D4×C61—81no—
737D4×C61—81no—
738D4×C61—81no—
739D4×C61—81no—
740D4×C61—81no—
741D4×C61—81no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—41no—
754C2×C4×C61—41no—
755C2×C4×C61—81no—
756C2×C4×C61—81no—
757C2×C4×C61—81no—
758C2×C4×C61—81no—
759C2×C4×C61—81no—
760C2×C4×C61—81no—
761C2×C4×C61—81no—
762C2×C4×C61—81no—
763C2×C4×C61C22×D411yescharacteristic
764C2×C4×C61C22×D411yescharacteristic
765C2×C4×C61C22×D411yescharacteristic
766C2×C4×C61C22×D411yescharacteristic
767C2×C4×C61C22×D411yescharacteristic
768C2×C4×C61C22×D411yescharacteristic
769C2×C4×C61C22×D411yescharacteristic
770C2×C4×C61C22×D411yescharacteristic
771C2×C4×C61C22×D411yescharacteristic
772C2×C4×C61C22×D411yescharacteristic
773C2×C4×C61C22×D411yescharacteristic
774C2×C4×C61C2511yescharacteristic
775C22⋊D61—42no—
776C22⋊D61—42no—
777C22⋊D61—42no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—81no—
786C2×Dic61—81no—
787D244—21no—
788D244H(5,𝔽2)12yes—
789C4×D61—42no—
790C4×D61—42no—
791C4×D61—42no—
792C4×D61—42no—
793C4×D61—81no—
794C4×D61—81no—
795C4×D61—81no—
796Dic122—21no—
797Dic122—21no—
798Dic122—21no—
799Dic122—21no—
800Dic122—21no—
801Dic122—21no—
802Dic122—81no—
803#92418—21no—
804#92418—21no—
805#92418—21no—
806#92418—21no—
807#92418—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#62012—611nomaximal, Sylow
812C22×C61—21no—
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—21no—
816C22×C61—21no—
817C22×C61—21no—
818C22×C61—21no—
819C22×C61—21no—
820C22×C61—21no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—162no—
831C22×C61C23×D411yescharacteristic
832C2×D61—22no—
833C2×D61—41no—
834C2×D61—41no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61—21no—
840C4×C61—21no—
841C4×C61—21no—
842C4×C61—21no—
843C4×C61—21no—
844C4×C61—21no—
845C4×C61—21no—
846C4×C61—41no—
847C4×C61—41no—
848C4×C61—41no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61C2×H(5,𝔽2)11yescharacteristic
852C4×C61#58511yescharacteristic
853Dic61—41no—
854Dic61—41no—
855Dic61—41no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860#3562D6111yescharacteristic, complemented
861#3515—611no—
862#3400—611no—
863#3398—611no—
864#3376—611no—
865#3370—611no—
866#3317—611no—
867#3316—611no—
868#3315—611no—
869#3314—611no—
870#3300—611no—
871#3296—611no—
872#3284—611no—
873#3283—611no—
874#3269—611no—
875#3269—611no—
876#3267—611no—
877#3267—611no—
878#3261—611no—
879#3260—611no—
880#3248—611no—
881#3223—611no—
882#3222—611no—
883#3216—611no—
884#3120—611no—
885#3119—611no—
886#3111—611no—
887#3046—611no—
888#3045—611no—
889#3035—611no—
890#2992—611no—
891C2×C61—41no—
892C2×C61—41no—
893C2×C61—41no—
894C2×C61—81no—
895C2×C61—81no—
896C2×C61—81no—
897C2×C61#348811yescharacteristic
898C2×C61#358411yescharacteristic
899C2×C61#358611yescharacteristic
900D61—42no—
901C2×#137—611no—
902C2×AGL(1,ℤ/8)—611no—
903C2×#135—611no—
904C2×#135—611no—
905C2×#135—611no—
906C2×#135—611no—
907#562—21no—
908#560—21no—
909#559C2×D6111yescharacteristic
910#557—611no—
911#556C2×D6111yescharacteristic
912#554—611no—
913#554—611no—
914#553—21no—
915#553—1221no—
916#552—611no—
917#552—611no—
918#552—1221no—
919#552—1221no—
920#552—1221no—
921#551—21no—
922#550C2×D6111yescharacteristic
923#548C2×D6111yescharacteristic
924#548C2×D6111yescharacteristic
925#547—611no—
926#547—611no—
927#547—611no—
928#547C2×D6111yescharacteristic
929#546C2×D6111yescharacteristic
930#546C2×D6111yescharacteristic
931#541—611no—
932#541—611no—
933#541C2×D6111yescharacteristic
934#540—21no—
935#540C2×D6111yescharacteristic
936#539—21no—
937#539—1221no—
938#539—1221no—
939#538—21no—
940#538—21no—
941#536C2×D6111yescharacteristic
942#535C2×D6111yescharacteristic
943#533—611no—
944#532C2×D6111yescharacteristic
945#529—1221no—
946#529C2×D6111yescharacteristic
947#529C2×D6111yescharacteristic
948C2×#125—1221no—
949#520—611no—
950#520—611no—
951C4×#41—611no—
952#497—611no—
953#497—611no—
954#497—611no—
955#497—611no—
956#494—611no—
957#492—611no—
958#491—611no—
959#490—611no—
960#489—611no—
961#489—611no—
962#488—611no—
963#488—611no—
964#485—611no—
965#484—611no—
966#483—611no—
967#482—611no—
968#481—611no—
969#480—611no—
970#479—611no—
971#479—611no—
972#479—611no—
973#479—611no—
974#479—611no—
975#478—611no—
976#478—611no—
977#478—611no—
978#475—611no—
979#474—611no—
980#470—611no—
981#470—611no—
982#468—611no—
983#468—611no—
984#467—611no—
985#467—611no—
986#467—611no—
987#467—611no—
988#465—611no—
989#465—611no—
990#465—611no—
991#465—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#463—611no—
1000#463—611no—
1001#463—611no—
1002#463—611no—
1003#463—611no—
1004#462—611no—
1005#462—611no—
1006#462—611no—
1007#462—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#461—611no—
1012#461—611no—
1013#461—611no—
1014#461—611no—
1015#461—611no—
1016#460—611no—
1017#460—611no—
1018#460—611no—
1019#460—611no—
1020#459—611no—
1021#459—611no—
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452—611no—
1028#452—611no—
1029#452—611no—
1030#452—611no—
1031#452—611no—
1032#452—611no—
1033#451—611no—
1034#451—611no—
1035#450—611no—
1036#450—611no—
1037#449—611no—
1038#449—611no—
1039#449—611no—
1040#446—611no—
1041#446—611no—
1042#442—611no—
1043#442—611no—
1044#441—611no—
1045#441—611no—
1046#440—611no—
1047#440—611no—
1048#440—611no—
1049#440—611no—
1050C4×Q16—611no—
1051C4×SD16—611no—
1052C4×SD16—611no—
1053C4×D8—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058C8×D4—611no—
1059C8×D4—611no—
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424—611no—
1065C2×C4⋊C8—611no—
1066#417—611no—
1067#417—611no—
1068#416—611no—
1069#416—611no—
1070C2×#103—611no—
1071C2×#102—611no—
1072C61#6201211yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41C22×D6111yescharacteristic
1077C2×#41C22×D6111yescharacteristic
1078C2×#41C22×D6111yescharacteristic
1079C2×#41C22×D6111yescharacteristic
1080C22×Q8C22×D6111yescharacteristic
1081C22×D4C22×D6111yescharacteristic
1082#137—2442no—
1083AGL(1,ℤ/8)—2442no—
1084#135—2442no—
1085#135—2442no—
1086#135—2442no—
1087#135—2442no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16—611no—
1093C2×Q16—611no—
1094C2×Q16—611no—
1095C2×Q16—611no—
1096C2×Q16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16—611no—
1104C2×SD16—611no—
1105C2×SD16—611no—
1106C2×SD16—611no—
1107C2×SD16—611no—
1108C2×SD16—611no—
1109C2×D8—611no—
1110C2×D8—611no—
1111C2×D8—611no—
1112C2×M16—611no—
1113C2×M16—611no—
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8—611no—
1117C22×C8—611no—
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8C22×D6111yescharacteristic
1123C4⋊Q8C22×D6111yescharacteristic
1124#127—21no—
1125#127C22×D6111yescharacteristic
1126#127C22×D6111yescharacteristic
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—1221no—
1133#126—1221no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126C22⋊D6111yescharacteristic
1139#126C22⋊D6111yescharacteristic
1140#125—21no—
1141#125—21no—
1142#125—611no—
1143#125—611no—
1144#125—1221no—
1145#125—1221no—
1146#125—1221no—
1147#125—1221no—
1148#125—1221no—
1149#125—1221no—
1150#125—1221no—
1151#125—1221no—
1152#125—1221no—
1153#125—1221no—
1154#125—1221no—
1155#125C22⋊D6111yescharacteristic
1156#125C22×D6111yescharacteristic
1157#124—21no—
1158#124—21no—
1159#124—21no—
1160#124C22⋊D6111yescharacteristic
1161#124C22×D6111yescharacteristic
1162#124C22×D6111yescharacteristic
1163#124C22×D6111yescharacteristic
1164#124C22×D6111yescharacteristic
1165#124C22×D6111yescharacteristic
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185#123C22⋊D6111yescharacteristic
1186#123C22⋊D6111yescharacteristic
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—611no—
1193C22⋊Q8—611no—
1194C22⋊Q8—611no—
1195C22⋊Q8—611no—
1196C22⋊Q8—611no—
1197C22⋊Q8—611no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8C22⋊D6111yescharacteristic
1205C22⋊Q8C22×D6111yescharacteristic
1206C22⋊Q8C22×D6111yescharacteristic
1207C22⋊Q8C22×D6111yescharacteristic
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121C22⋊D6111yescharacteristic
1225#121C22×D6111yescharacteristic
1226#121C22×D6111yescharacteristic
1227#121C22×D6111yescharacteristic
1228#120—21no—
1229#120—21no—
1230#120—21no—
1231#120—21no—
1232C4×Q8—611no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—1221no—
1239C4×Q8—1221no—
1240C4×Q8C22×D6111yescharacteristic
1241C4×Q8C22×D6111yescharacteristic
1242C4×Q8C22×D6111yescharacteristic
1243C4×Q8C22×D6111yescharacteristic
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—611no—
1252C4×D4—611no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—1221no—
1256C4×D4—1221no—
1257C4×D4—1221no—
1258C4×D4—1221no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4C22×D6111yescharacteristic
1263C4×D4C22×D6111yescharacteristic
1264C4×D4C22×D6111yescharacteristic
1265C4×D4C22×D6111yescharacteristic
1266C4×D4C22×D6111yescharacteristic
1267C4×D4C22×D6111yescharacteristic
1268#117—21no—
1269#117—21no—
1270#117—611no—
1271#117—1221no—
1272#117—1221no—
1273#117—1221no—
1274#117—1221no—
1275#117—1221no—
1276#117—1221no—
1277#117C22×D6111yescharacteristic
1278#117C22×D6111yescharacteristic
1279C2×C4⋊C4—21no—
1280C2×C4⋊C4—611no—
1281C2×C4⋊C4—611no—
1282C2×C4⋊C4—1221no—
1283C2×C4⋊C4—1221no—
1284C2×C4⋊C4—1221no—
1285C2×C4⋊C4—1221no—
1286C2×C4⋊C4—1221no—
1287C2×C4⋊C4—1221no—
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C42—1221no—
1291C2×C42C22×D6111yescharacteristic
1292#107—611no—
1293#107—611no—
1294#107—611no—
1295#107—611no—
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106—611no—
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8—611no—
1308C4⋊C8—611no—
1309C4⋊C8—611no—
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103—611no—
1323#103—611no—
1324#103—611no—
1325#103—611no—
1326#103—611no—
1327#103—611no—
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102—611no—
1337#102—611no—
1338#102—611no—
1339#102—611no—
1340#102—611no—
1341#102—611no—
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8—611no—
1347C22⋊C8—611no—
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97—611no—
1352C4×C8—611no—
1353C4×C8—611no—
1354C24—21no—
1355#41—41no—
1356#41—41no—
1357#41—41no—
1358#41—41no—
1359#41—41no—
1360#41—41no—
1361#41—41no—
1362#41—41no—
1363#41—1222no—
1364#41—1222no—
1365#41—1222no—
1366#41—2441no—
1367#41—2441no—
1368#41—2441no—
1369C2×Q8—21no—
1370C2×Q8—41no—
1371C2×Q8—41no—
1372C2×Q8—611no—
1373C2×Q8—611no—
1374C2×Q8—611no—
1375C2×Q8—1221no—
1376C2×Q8C2×C22⋊D6111yescharacteristic
1377C2×Q8C23×D6111yescharacteristic
1378C2×Q8C23×D6111yescharacteristic
1379C2×Q8C23×D6111yescharacteristic
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—611no—
1395C2×D4—1221no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4C2×C22⋊D6111yescharacteristic
1399C2×D4C2×C22⋊D6111yescharacteristic
1400C2×D4C2×C22⋊D6111yescharacteristic
1401C2×D4C23×D6111yescharacteristic
1402C2×D4C23×D6111yescharacteristic
1403C2×D4C23×D6111yescharacteristic
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—1221no—
1413C22×C4—1221no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4C2×C22⋊D6111yescharacteristic
1422C22×C4C2×C22⋊D6111yescharacteristic
1423C22×C4C23×D6111yescharacteristic
1424C22×C4C23×D6111yescharacteristic
1425C22×C4C23×D6111yescharacteristic
1426Q16—2441no—
1427Q16—2441no—
1428Q16—2441no—
1429Q16—2441no—
1430Q16—2441no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—1222no—
1436SD16—1222no—
1437SD16—1222no—
1438SD16—2441no—
1439SD16—2441no—
1440SD16—2441no—
1441SD16—2441no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—1222no—
1448D8—1222no—
1449D8—1222no—
1450M16—2441no—
1451M16—2441no—
1452C2×C8—611no—
1453C2×C8—611no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—611no—
1457C2×C8—611no—
1458C2×C8—611no—
1459C2×C8—611no—
1460C2×C8—2441no—
1461C2×C8—2441no—
1462C2×C8—2441no—
1463C2×C8—2441no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4C2×C22⋊D6111yescharacteristic
1506C4⋊C4C2×C22⋊D6111yescharacteristic
1507C4⋊C4C2×C22⋊D6111yescharacteristic
1508C4⋊C4C2×C22⋊D6111yescharacteristic
1509C4⋊C4C2×C22⋊D6111yescharacteristic
1510C4⋊C4C2×C22⋊D6111yescharacteristic
1511C4⋊C4C2×C22⋊D6111yescharacteristic
1512C4⋊C4C2×C22⋊D6111yescharacteristic
1513C4⋊C4C2×C22⋊D6111yescharacteristic
1514C4⋊C4C2×C22⋊D6111yescharacteristic
1515C4⋊C4C23×D6111yescharacteristic
1516C4⋊C4C23×D6111yescharacteristic
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4C2×C22⋊D6111yescharacteristic
1548C22⋊C4C2×C22⋊D6111yescharacteristic
1549C22⋊C4C2×C22⋊D6111yescharacteristic
1550C22⋊C4C2×C22⋊D6111yescharacteristic
1551C22⋊C4C2×C22⋊D6111yescharacteristic
1552C22⋊C4C2×C22⋊D6111yescharacteristic
1553C22⋊C4C2×C22⋊D6111yescharacteristic
1554C22⋊C4C2×C22⋊D6111yescharacteristic
1555C22⋊C4C2×C22⋊D6111yescharacteristic
1556C22⋊C4C2×C22⋊D6111yescharacteristic
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42C2×C22⋊D6111yescharacteristic
1568C42C2×C22⋊D6111yescharacteristic
1569C42C23×D6111yescharacteristic
1570C42C23×D6111yescharacteristic
1571C42C23×D6111yescharacteristic
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—81no—
1577C23—81no—
1578C23—81no—
1579C23—1221no—
1580C23C22×C22⋊D6111yescharacteristic
1581C23C22×C22⋊D6111yescharacteristic
1582C23C22×C22⋊D6111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—41no—
1590Q8—81no—
1591Q8—1221no—
1592Q8—1221no—
1593Q8—1221no—
1594Q8—1221no—
1595Q8—1221no—
1596Q8—1221no—
1597Q8—4881no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—41no—
1605D4—41no—
1606D4—41no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—612no—
1620D4—1221no—
1621D4—2442no—
1622D4—2442no—
1623D4—2442no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—81no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—4881no—
1653C2×C4—4881no—
1654C2×C4—4881no—
1655C2×C4—4881no—
1656C2×C4—4881no—
1657C2×C4—2442no—
1658C2×C4—2442no—
1659C2×C4—2442no—
1660C2×C4—2442no—
1661C2×C4C22×C22⋊D6111yescharacteristic
1662C2×C4C22×C22⋊D6111yescharacteristic
1663C2×C4C22×C22⋊D6111yescharacteristic
1664C2×C4C22×C22⋊D6111yescharacteristic
1665C2×C4C22×C22⋊D6111yescharacteristic
1666C2×C4C22×C22⋊D6111yescharacteristic
1667C2×C4C22×C22⋊D6111yescharacteristic
1668C2×C4C22×C22⋊D6111yescharacteristic
1669C2×C4C22×C22⋊D6111yescharacteristic
1670C2×C4C22×C22⋊D6111yescharacteristic
1671C2×C4C22×C22⋊D6111yescharacteristic
1672C2×C4C24×D6111yescharacteristic
1673C8—1221no—
1674C8—1221no—
1675C8—1221no—
1676C8—1221no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C8—1221no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—21no—
1689C22—21no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—162no—
1700C22—1222no—
1701C22—2441no—
1702C22—2441no—
1703C22C23×C22⋊D6111yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—2441no—
1721C4—2441no—
1722C4—2441no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4H(5,𝔽2)×D6111yescharacteristic
1728C4#1684059711yescharacteristic
1729C2—41no—
1730C2—41no—
1731C2—41no—
1732C2—81no—
1733C2—81no—
1734C2—81no—
1735C2—2442no—
1736C2#2145948111yescharacteristic
1737C2#2146059011yescharacteristic
1738C2#2146060511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3562C2
socleC22×C61C23×D4
hypercenter#3562D61
hypocenterC61#62012
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #529 ◁ #3562

Complements

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

NH ≅ G/Ntype
1. #21459799C2semidirect
2. #21458872C2semidirect
3. #21458850C2semidirect
4. #21458640C2semidirect
5. #21458566C2semidirect
6. #21457945C2semidirect
7. #21457930C2semidirect
8. #21457915C2semidirect
9. #21457900C2semidirect
10. #21457706C2semidirect
11. #21457654C2semidirect
12. #21457549C2semidirect
13. #21457537C2semidirect
14. #21457375C2semidirect
15. #21457375C2semidirect
16. #21457340C2semidirect
17. #21457340C2semidirect
18. #21457269C2semidirect
19. #21457265C2semidirect
20. #21457156C2semidirect
21. #21456902C2semidirect
22. #21456891C2semidirect
23. #21456830C2semidirect
24. #21456027C2semidirect
25. #21456012C2semidirect
26. #21455922C2semidirect
27. #21455365C2semidirect
28. #21455354C2semidirect
29. #21455268C2semidirect
30. #21454958C2semidirect
31. C61×#3562C2semidirect
32. C2×#14519808C22semidirect
37. C2×#14519797C22semidirect
38. #16840491C22semidirect
39. #16840472C22semidirect
43. #16840452C22semidirect
49. #16840417C22semidirect
51. #16840374C22semidirect
54. #16840319C22semidirect
58. #16840242C22semidirect
59. C4×#11758222C22semidirect
63. #16840157C22semidirect
64. #16840141C22semidirect
66. #16840130C22semidirect
69. #16840121C22semidirect
72. #16840100C22semidirect
76. #16840078C22semidirect
78. #16840069C22semidirect
79. #16840069C22semidirect
80. #16840066C22semidirect
81. #16840066C22semidirect
82. #16840066C22semidirect
84. #16840062C22semidirect
85. #16840059C22semidirect
86. #16840047C22semidirect
91. #16840006C22semidirect
94. #16840001C22semidirect
95. #16840001C22semidirect
99. #16839989C22semidirect
106. #16839981C22semidirect
111. #16839974C22semidirect
112. #16839972C22semidirect
113. #16839972C22semidirect
114. #16839972C22semidirect
115. #16839969C22semidirect
116. #16839969C22semidirect
117. #16839969C22semidirect
118. #16839969C22semidirect
121. #16839967C22semidirect
122. #16839964C22semidirect
123. #16839964C22semidirect
136. #16839924C22semidirect
137. #16839924C22semidirect
140. #16839922C22semidirect
141. #16839918C22semidirect
142. #16839918C22semidirect
147. #16839905C22semidirect
148. #16839893C22semidirect
149. #16839893C22semidirect
152. #16839867C22semidirect
153. #16839867C22semidirect
155. #16839862C22semidirect
156. #16839860C22semidirect
157. #16839860C22semidirect
158. C4×#11758202C22semidirect
159. C4×#11758201C22semidirect
161. C4×#11758199C22semidirect
165. #16839834C22semidirect
167. D4×#92418C22semidirect
169. #16839823C22semidirect
170. #16839819C22semidirect
172. #16839789C22semidirect
173. C2×C4⋊#92418C22semidirect
177. #16839758C22semidirect
178. C2×#14519701C22semidirect
860. #3562D61semidirect
1072. C61#62012semidirect

Maximal subgroups

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

subgroupindex
#214597992
#214588722
#214588502
#214586402
#214585662
#214579452
#214579302
#214579152
#214579002
#214577062
#214576542
#214575492
#214575372
#214573752
#214573402
#214572692
#214572652
#214571562
#214569022
#214568912
#214568302
#214560272
#214560122
#214559222
#214553652
#214553542
#214552682
#214549582
C61×#35622
#6201261