Finite Group Databasebeta

← #30575980

Subgroups — #30575980

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459797C211yesmaximal, characteristic, complemented
2#21458773C211yesmaximal, characteristic, complemented
3#21458764C211yesmaximal, characteristic, complemented
4#21458581C211yesmaximal, characteristic, complemented
5#21458566C211yesmaximal, characteristic, complemented
6#21458419C211yesmaximal, characteristic, complemented
7#21458373C211yesmaximal, characteristic, complemented
8#21458304C211yesmaximal, characteristic, complemented
9#21458298C211yesmaximal, characteristic, complemented
10#21458283C211yesmaximal, characteristic, complemented
11#21458268C211yesmaximal, characteristic, complemented
12#21458035C211yesmaximal, characteristic, complemented
13#21458020C211yesmaximal, characteristic, complemented
14#21457960C211yesmaximal, characteristic, complemented
15#21457900C211yesmaximal, characteristic, complemented
16#21457840C211yesmaximal, characteristic, complemented
17#21457780C211yesmaximal, characteristic, complemented
18#21457215C211yesmaximal, characteristic, complemented
19#21457175C211yesmaximal, characteristic, complemented
20#21457166C211yesmaximal, characteristic, complemented
21#21457055C211yesmaximal, characteristic, complemented
22#21457005C211yesmaximal, characteristic, complemented
23#21456983C211yesmaximal, characteristic, complemented
24#21455957C211yesmaximal, characteristic, complemented
25#21455928C211yesmaximal, characteristic, complemented
26#21455866C211yesmaximal, characteristic, complemented
27#21455641C211yesmaximal, characteristic, complemented
28#21455616C211yesmaximal, characteristic, complemented
29C2×#16840062C211yesmaximal, characteristic, complemented
30#21454936C211yesmaximal, characteristic, complemented
31C61×#3481C211yesmaximal, characteristic, complemented
32#16840490C2211yescharacteristic, complemented
33#16840472C2211yescharacteristic, complemented
34#16840469C2211yescharacteristic, complemented
35#16840458C2211yescharacteristic
36#16840458C2211yescharacteristic, complemented
37#16840452C2211yescharacteristic
38#16840452C2211yescharacteristic, complemented
39#16840451—21no—
40#16840445—21no—
41#16840445—21no—
42#16840416C2211yescharacteristic, complemented
43#16840411—21no—
44#16840370—21no—
45#16840354—21no—
46#16840354—21no—
47#16840319C2211yescharacteristic, complemented
48#16840296C2211yescharacteristic, complemented
49#16840296C2211yescharacteristic, complemented
50#16840296C2211yescharacteristic, complemented
51C2×#14519769C2211yescharacteristic, complemented
52C2×#14519769C2211yescharacteristic, complemented
53#16840241—21no—
54#16840172C2211yescharacteristic, complemented
55#16840172C2211yescharacteristic, complemented
56#16840168C2211yescharacteristic, complemented
57#16840168C2211yescharacteristic, complemented
58#16840161C2211yescharacteristic, complemented
59#16840161C2211yescharacteristic, complemented
60#16840126C2211yescharacteristic
61#16840126C2211yescharacteristic
62#16840121C2211yescharacteristic, complemented
63#16840121C2211yescharacteristic, complemented
64#16840116C2211yescharacteristic, complemented
65#16840116C2211yescharacteristic, complemented
66#16840103C2211yescharacteristic, complemented
67#16840100C2211yescharacteristic, complemented
68#16840100C2211yescharacteristic, complemented
69#16840097C2211yescharacteristic, complemented
70#16840095C2211yescharacteristic, complemented
71#16840092C2211yescharacteristic, complemented
72#16840090C2211yescharacteristic, complemented
73#16840086C2211yescharacteristic, complemented
74#16840083C2211yescharacteristic
75#16840083C2211yescharacteristic
76#16840080C2211yescharacteristic, complemented
77#16840078C2211yescharacteristic
78#16840078C2211yescharacteristic, complemented
79#16840078C2211yescharacteristic, complemented
80#16840075C2211yescharacteristic, complemented
81#16840073C2211yescharacteristic
82#16840073C2211yescharacteristic, complemented
83#16840073C2211yescharacteristic, complemented
84#16840069C2211yescharacteristic, complemented
85#16840069C2211yescharacteristic, complemented
86#16840069C2211yescharacteristic, complemented
87#16840069C2211yescharacteristic, complemented
88#16840069C2211yescharacteristic, complemented
89#16840066C2211yescharacteristic, complemented
90#16840066C2211yescharacteristic, complemented
91#16840062C2211yescharacteristic
92#16840062C2211yescharacteristic
93#16840062C2211yescharacteristic
94#16840062C2211yescharacteristic
95#16840062C2211yescharacteristic
96#16840062C2211yescharacteristic
97#16840062C2211yescharacteristic
98#16840062C2211yescharacteristic, complemented
99#16840062C2211yescharacteristic, complemented
100#16840062C2211yescharacteristic, complemented
101#16840062C2211yescharacteristic, complemented
102#16840062C2211yescharacteristic, complemented
103#16840062C2211yescharacteristic, complemented
104#16840062C2211yescharacteristic, complemented
105#16840062C2211yescharacteristic, complemented
106#16840059C2211yescharacteristic, complemented
107#16840059C2211yescharacteristic, complemented
108#16840052C2211yescharacteristic
109#16840052C2211yescharacteristic, complemented
110#16840044C2211yescharacteristic, complemented
111#16840042C2211yescharacteristic
112#16840042C2211yescharacteristic, complemented
113#16840039C2211yescharacteristic, complemented
114#16840018C2211yescharacteristic, complemented
115#16840013C2211yescharacteristic
116#16840013C2211yescharacteristic, complemented
117#16840013C2211yescharacteristic, complemented
118#16840010C2211yescharacteristic, complemented
119#16840006C2211yescharacteristic
120#16840006C2211yescharacteristic, complemented
121#16840006C2211yescharacteristic, complemented
122#16840001C2211yescharacteristic, complemented
123#16839996C2211yescharacteristic
124#16839993C2211yescharacteristic, complemented
125#16839989C2211yescharacteristic
126#16839984C2211yescharacteristic, complemented
127#16839981C2211yescharacteristic, complemented
128#16839981C2211yescharacteristic, complemented
129#16839977C2211yescharacteristic
130#16839977C2211yescharacteristic, complemented
131#16839977C2211yescharacteristic, complemented
132#16839974C2211yescharacteristic, complemented
133#16839974C2211yescharacteristic, complemented
134#16839959C2211yescharacteristic
135#16839954C2211yescharacteristic
136#16839924C2211yescharacteristic
137#16839913C2211yescharacteristic
138#16839913C2211yescharacteristic
139#16839907C2211yescharacteristic
140#16839896C2211yescharacteristic
141#16839896C2211yescharacteristic
142#16839893C2211yescharacteristic, complemented
143#16839893C2211yescharacteristic, complemented
144#16839872C2211yescharacteristic
145#16839872C2211yescharacteristic
146#16839872C2211yescharacteristic, complemented
147#16839867C2211yescharacteristic, complemented
148#16839862C2211yescharacteristic
149#16839862C2211yescharacteristic
150#16839862C2211yescharacteristic, complemented
151#16839860C2211yescharacteristic, complemented
152C4×#11758200C2211yescharacteristic
153C4×#11758200C2211yescharacteristic, complemented
154C4×#11758199C2211yescharacteristic
155C4×#11758199C2211yescharacteristic, complemented
156#16839840C2211yescharacteristic, complemented
157#16839840C2211yescharacteristic, complemented
158#16839834C2211yescharacteristic
159#16839834C2211yescharacteristic
160#16839834C2211yescharacteristic, complemented
161#16839834C2211yescharacteristic, complemented
162#16839819C2211yescharacteristic, complemented
163#16839819C2211yescharacteristic, complemented
164#16839815C2211yescharacteristic, complemented
165#16839805C2211yescharacteristic, complemented
166#16839805C2211yescharacteristic, complemented
167#16839802C2211yescharacteristic, complemented
168#16839802C2211yescharacteristic, complemented
169C2×#14519710C2211yescharacteristic, complemented
170C2×#14519708C2211yescharacteristic, complemented
171#16839786C2211yescharacteristic, complemented
172#16839786C2211yescharacteristic, complemented
173C2×C4⋊#92418C2211yescharacteristic, complemented
174#16839767C2211yescharacteristic
175#16839767C2211yescharacteristic
176#16839763C2211yescharacteristic
177#16839763C2211yescharacteristic
178C2×#14519698C2211yescharacteristic
179C2×#14519698C2211yescharacteristic
180C61×#559C2211yescharacteristic
181C61×#554C2211yescharacteristic
182C61×#554C2211yescharacteristic
183C61×#553—21no—
184C61×#553C2211yescharacteristic
185C61×#553C2211yescharacteristic
186C61×#551—21no—
187C61×#551—21no—
188C61×#546—21no—
189C61×#546C2211yescharacteristic
190C61×#546C2211yescharacteristic
191D42×C61C2211yescharacteristic
192C61×#532C2211yescharacteristic
193C61×#529—21no—
194C61×#529C2211yescharacteristic
195C61×#529C2211yescharacteristic
196C61×#525—21no—
197C61×#525—21no—
198C4×#41×C61C2211yescharacteristic
199C4×#41×C61C2211yescharacteristic
200C2×C4×D4×C61—21no—
201C2×C4×D4×C61C2211yescharacteristic
202C2×C4×D4×C61C2211yescharacteristic
203C2×#11758224—21no—
204C2×#11758202C2311yescharacteristic
205C2×#11758200C2311yescharacteristic
206C2×#11758200C2311yescharacteristic
207C2×#11758200C2311yescharacteristic
208C2×#11758201C2311yescharacteristic
209C2×#11758199C2311yescharacteristic
210C2×#11758199C2311yescharacteristic
211C2×#11758199C2311yescharacteristic
212C2×#11758194C2311yescharacteristic
213C2×#11758194C2311yescharacteristic
214C2×#11758194C2311yescharacteristic
215C2×#11758194C2311yescharacteristic
216C22×#92418C2311yescharacteristic
217C22×#92418C2311yescharacteristic
218#14519777C2311yescharacteristic
219#14519777C2311yescharacteristic
220#14519775—21no—
221#14519772—21no—
222#14519772—21no—
223#14519771—21no—
224#14519771—21no—
225#14519771—21no—
226#14519770—21no—
227#14519770—21no—
228#14519769—21no—
229#14519769—21no—
230#14519769—21no—
231#14519769—21no—
232#14519769C2311yescharacteristic
233#14519769C2311yescharacteristic
234#14519769C2311yescharacteristic
235#14519769C2311yescharacteristic
236#14519769C2311yescharacteristic
237#14519769C2311yescharacteristic
238#14519769C2311yescharacteristic
239#14519768—21no—
240#14519767—21no—
241#14519767—21no—
242#14519767—21no—
243#14519767—21no—
244#14519765C2311yescharacteristic
245#14519761—21no—
246#14519761—21no—
247#14519760—21no—
248#14519760—21no—
249#14519760—21no—
250#14519759—21no—
251#14519759—21no—
252#14519758—21no—
253#14519758—21no—
254#14519757—21no—
255#14519756—21no—
256#14519756—21no—
257#14519756C2311yescharacteristic
258#14519756C2311yescharacteristic
259#14519756C2311yescharacteristic
260#14519755—21no—
261#14519755—21no—
262#14519754—21no—
263#14519754—21no—
264#14519753—21no—
265#14519751C2311yescharacteristic
266#14519751C2311yescharacteristic
267#14519751C2311yescharacteristic
268#14519749—21no—
269#14519749—21no—
270C4×Dic122—21no—
271C4×Dic122—21no—
272C4×Dic122C2311yescharacteristic
273C4×Dic122C2311yescharacteristic
274C4×Dic122C2311yescharacteristic
275#14519742—21no—
276C4×D244C2311yescharacteristic
277C4×D244C2311yescharacteristic
278C4×D244C2311yescharacteristic
279D4×Dic61—21no—
280C4×C22⋊D61—21no—
281C4×C22⋊D61—21no—
282C4×C22⋊D61—21no—
283#14519737—21no—
284#14519737—21no—
285#14519736C2311yescharacteristic
286#14519736C2311yescharacteristic
287#14519734—21no—
288#14519734—21no—
289#14519734—21no—
290#14519733—21no—
291#14519733—21no—
292C2×C4⋊Dic61C2311yescharacteristic
293C2×C4⋊Dic61C2311yescharacteristic
294C2×C4⋊Dic61C2311yescharacteristic
295C2×C4⋊Dic61C2311yescharacteristic
296C2×#11758196—21no—
297C2×#11758196—21no—
298C2×#11758196—21no—
299C2×#11758196—21no—
300C4⋊C4×D61—21no—
301#14519710C2311yescharacteristic
302#14519710C2311yescharacteristic
303#14519710C2311yescharacteristic
304#14519710C2311yescharacteristic
305#14519710C2311yescharacteristic
306#14519710C2311yescharacteristic
307#14519710C2311yescharacteristic
308#14519710C2311yescharacteristic
309#14519710C2311yescharacteristic
310#14519710C2311yescharacteristic
311#14519710C2311yescharacteristic
312#14519710C2311yescharacteristic
313#14519708C2311yescharacteristic
314#14519708C2311yescharacteristic
315#14519708C2311yescharacteristic
316#14519708C2311yescharacteristic
317#14519708C2311yescharacteristic
318#14519708C2311yescharacteristic
319#14519708C2311yescharacteristic
320#14519708C2311yescharacteristic
321#14519708C2311yescharacteristic
322#14519708C2311yescharacteristic
323#14519708C2311yescharacteristic
324#14519708C2311yescharacteristic
325C4⋊#92418C2311yescharacteristic
326C4⋊#92418C2311yescharacteristic
327C4⋊#92418C2311yescharacteristic
328C4⋊#92418C2311yescharacteristic
329C4⋊#92418C2311yescharacteristic
330C4⋊#92418C2311yescharacteristic
331C4⋊#92418C2311yescharacteristic
332C4⋊#92418C2311yescharacteristic
333C4⋊#92418C2311yescharacteristic
334C4⋊#92418C2311yescharacteristic
335#14519701C2311yescharacteristic
336#14519701C2311yescharacteristic
337#14519701C2311yescharacteristic
338#14519701C2311yescharacteristic
339#14519701C2311yescharacteristic
340#14519701C2311yescharacteristic
341#14519700C2311yescharacteristic
342#14519700C2311yescharacteristic
343#14519700C2311yescharacteristic
344#14519700C2311yescharacteristic
345#14519698C2311yescharacteristic
346#14519698C2311yescharacteristic
347#14519698C2311yescharacteristic
348#14519698C2311yescharacteristic
349#14519698C2311yescharacteristic
350#14519698C2311yescharacteristic
351#14519698C2311yescharacteristic
352#14519698C2311yescharacteristic
353#14519698C2311yescharacteristic
354#14519698C2311yescharacteristic
355#14519698C2311yescharacteristic
356#14519698C2311yescharacteristic
357#14519698C2311yescharacteristic
358#14519698C2311yescharacteristic
359#14519698C2311yescharacteristic
360#14519698C2311yescharacteristic
361#14519698C2311yescharacteristic
362#14519698C2311yescharacteristic
363#14519697C2311yescharacteristic
364#14519697C2311yescharacteristic
365#14519697C2311yescharacteristic
366#14519697C2311yescharacteristic
367C22⋊#92418C2311yescharacteristic
368C22⋊#92418C2311yescharacteristic
369C22⋊#92418C2311yescharacteristic
370C22⋊#92418C2311yescharacteristic
371C22⋊#92418C2311yescharacteristic
372C22⋊#92418C2311yescharacteristic
373#14519688C2311yescharacteristic
374#14519688C2311yescharacteristic
375#14519688C2311yescharacteristic
376#14519688C2311yescharacteristic
377C4×#92418C2311yescharacteristic
378C4×#92418C2311yescharacteristic
379C2×#41×C61—21no—
380C2×#41×C61D411yescharacteristic
381C2×#41×C61C2311yescharacteristic
382C22×D4×C61—21no—
383C22×D4×C61C2311yescharacteristic
384C22×D4×C61C2311yescharacteristic
385C23×C4×C61—21no—
386C23×C4×C61—21no—
387C4⋊Q8×C61C2311yescharacteristic
388#127×C61C2311yescharacteristic
389#126×C61—21no—
390#126×C61—21no—
391#126×C61—21no—
392#126×C61—21no—
393#125×C61—21no—
394#125×C61C2311yescharacteristic
395#125×C61C2311yescharacteristic
396#124×C61—21no—
397#124×C61—21no—
398#124×C61C2311yescharacteristic
399#124×C61C2311yescharacteristic
400#123×C61—21no—
401#123×C61—21no—
402#123×C61—21no—
403#123×C61—21no—
404#123×C61—21no—
405#123×C61—21no—
406#123×C61—21no—
407#123×C61—21no—
408C22⋊Q8×C61—21no—
409C22⋊Q8×C61—21no—
410C22⋊Q8×C61—21no—
411C22⋊Q8×C61—21no—
412C22⋊Q8×C61—21no—
413C22⋊Q8×C61C2311yescharacteristic
414C22⋊Q8×C61C2311yescharacteristic
415#121×C61—21no—
416#121×C61—21no—
417#121×C61—21no—
418#121×C61—21no—
419#121×C61—21no—
420#121×C61—21no—
421#121×C61C2311yescharacteristic
422#121×C61C2311yescharacteristic
423#121×C61C2311yescharacteristic
424#121×C61C2311yescharacteristic
425#120×C61—21no—
426#120×C61—21no—
427#120×C61—21no—
428#120×C61—21no—
429C4×Q8×C61D411yescharacteristic
430C4×Q8×C61C2311yescharacteristic
431C4×Q8×C61C2311yescharacteristic
432C4×Q8×C61C2311yescharacteristic
433C4×D4×C61—21no—
434C4×D4×C61—21no—
435C4×D4×C61—21no—
436C4×D4×C61—21no—
437C4×D4×C61—21no—
438C4×D4×C61—21no—
439C4×D4×C61—21no—
440C4×D4×C61—21no—
441C4×D4×C61—21no—
442C4×D4×C61—21no—
443C4×D4×C61—21no—
444C4×D4×C61—21no—
445C4×D4×C61—21no—
446C4×D4×C61D411yescharacteristic
447C4×D4×C61D411yescharacteristic
448C4×D4×C61D411yescharacteristic
449C4×D4×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460#117×C61—21no—
461#117×C61—21no—
462#117×C61—21no—
463#117×C61D411yescharacteristic
464#117×C61D411yescharacteristic
465#117×C61D411yescharacteristic
466#117×C61C2311yescharacteristic
467C2×C4⋊C4×C61—21no—
468C2×C4⋊C4×C61C2311yescharacteristic
469C2×C4⋊C4×C61C2311yescharacteristic
470C2×C22⋊C4×C61—21no—
471C2×C22⋊C4×C61—21no—
472C2×C22⋊C4×C61—21no—
473C2×C22⋊C4×C61—21no—
474C2×C42×C61—21no—
475C2×C42×C61C2311yescharacteristic
476C2×C42×C61C2311yescharacteristic
477C2×C42×C61C2311yescharacteristic
478C24×C61—21no—
479C24×C61—21no—
480#41×C61—22no—
481#41×C61—42no—
482#41×C61—41no—
483#41×C61—82no—
484C2×Q8×C61—21no—
485C2×Q8×C61C2×D411yescharacteristic
486C2×Q8×C61C2411yescharacteristic
487C2×D4×C61—22no—
488C2×D4×C61—22no—
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—41no—
499C2×D4×C61—41no—
500C2×D4×C61—44no—
501C2×D4×C61C2×D411yescharacteristic
502C2×D4×C61C2×D411yescharacteristic
503C2×D4×C61C2×D411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61—21no—
512C22×C4×C61—21no—
513C22×C4×C61—21no—
514C22×C4×C61—21no—
515C22×C4×C61—21no—
516C22×C4×C61—21no—
517C22×C4×C61—21no—
518C22×C4×C61—82no—
519C22×C4×C61—82no—
520C22×C4×C61C2×D411yescharacteristic
521C22×C4×C61C2×D411yescharacteristic
522C22×C4×C61C2×D411yescharacteristic
523C22×C4×C61C2×D411yescharacteristic
524C22×C4×C61C2×D411yescharacteristic
525C22×C4×C61C2×D411yescharacteristic
526C22×C4×C61C2411yescharacteristic
527C22×C4×C61C2411yescharacteristic
528C22×C4×C61C2411yescharacteristic
529C2×C22⋊D61—21no—
530C2×C22⋊D61—21no—
531C2×C22⋊D61—21no—
532C22×Dic61—21no—
533C22×Dic61—21no—
534C22×Dic61—21no—
535C22×Dic61—21no—
536#11758224—44no—
537C2×D244C2411yescharacteristic
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122C2411yescharacteristic
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61C2×D411yescharacteristic
556C4⋊C4×C61C2×D411yescharacteristic
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61C2×D411yescharacteristic
585C22⋊C4×C61C2×D411yescharacteristic
586C22⋊C4×C61C2×D411yescharacteristic
587C22⋊C4×C61C2×D411yescharacteristic
588C22⋊C4×C61C2×D411yescharacteristic
589C22⋊C4×C61C2×D411yescharacteristic
590C42×C61—21no—
591C42×C61—21no—
592C42×C61—21no—
593C42×C61C2×D411yescharacteristic
594C42×C61C2×D411yescharacteristic
595C42×C61C2×D411yescharacteristic
596C42×C61C2×D411yescharacteristic
597C42×C61C2×D411yescharacteristic
598C42×C61C2×D411yescharacteristic
599C42×C61C2411yescharacteristic
600C42×C61C2411yescharacteristic
601C42×C61C2411yescharacteristic
602C42×C61C2411yescharacteristic
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608#11758202—41no—
609#11758201—41no—
610#11758200—22no—
611#11758200—41no—
612#11758200—41no—
613#11758199—22no—
614#11758199—41no—
615#11758199—41no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
633C4⋊Dic61C2411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661#11758194—41no—
662#11758194—41no—
663#11758194—41no—
664#11758194—41no—
665C2×#92418—41no—
666C2×#92418—41no—
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673C2×#92418C2411yescharacteristic
674C2×#92418C2411yescharacteristic
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—42no—
679C23×C61—42no—
680C23×C61—42no—
681C23×C61—42no—
682C23×C61—81no—
683C23×C61—81no—
684C23×C61C22×D411yescharacteristic
685C23×C61C22×D411yescharacteristic
686C23×C61C22×D411yescharacteristic
687C22×D61—21no—
688Q8×C61—21no—
689Q8×C61—21no—
690Q8×C61—41no—
691Q8×C61—81no—
692D4×C61—22no—
693D4×C61—22no—
694D4×C61—21no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—21no—
698D4×C61—21no—
699D4×C61—41no—
700D4×C61—42no—
701D4×C61—42no—
702D4×C61—42no—
703D4×C61—42no—
704D4×C61—42no—
705D4×C61—42no—
706D4×C61—81no—
707D4×C61—81no—
708D4×C61—81no—
709D4×C612−1+412yes—
710C2×C4×C61—22no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—41no—
723C2×C4×C61—41no—
724C2×C4×C61—41no—
725C2×C4×C61—41no—
726C2×C4×C61—41no—
727C2×C4×C61—42no—
728C2×C4×C61—42no—
729C2×C4×C61—42no—
730C2×C4×C61—42no—
731C2×C4×C61—42no—
732C2×C4×C61—81no—
733C2×C4×C61—81no—
734C2×C4×C61—81no—
735C2×C4×C61—81no—
736C2×C4×C61—81no—
737C2×C4×C61—81no—
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C22×D411yescharacteristic
740C2×C4×C61C22×D411yescharacteristic
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C22×D411yescharacteristic
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C22×D411yescharacteristic
749C2×C4×C61C2511yescharacteristic
750C22⋊D61—42no—
751C22⋊D61—42no—
752C22⋊D61—81no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—42no—
761C2×Dic61—42no—
762C2×Dic61—81no—
763C2×Dic61—81no—
764D244—21no—
765D244—21no—
766C4×D61—42no—
767C4×D61—81no—
768C4×D61—81no—
769Dic122—21no—
770Dic122—21no—
771Dic122—42no—
772Dic122—81no—
773#92418—21no—
774#92418—21no—
775#92418—21no—
776#92418—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62119—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61—21no—
788C22×C61—22no—
789C22×C61—21no—
790C22×C61—21no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—84no—
800C22×C61—84no—
801C22×C61#57512yes—
802C22×C61C23×D411yescharacteristic
803C2×D61—41no—
804C2×D61—41no—
805C2×D61—41no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—21no—
812C4×C61—21no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61C2×2−1+411yescharacteristic
823C4×C61#58511yescharacteristic
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515—611no—
832#3481D6111yescharacteristic, complemented
833#3389—611no—
834#3388—611no—
835#3371—611no—
836#3370—611no—
837#3355—611no—
838#3351—611no—
839#3346—611no—
840#3346—611no—
841#3345—611no—
842#3344—611no—
843#3323—611no—
844#3322—611no—
845#3318—611no—
846#3314—611no—
847#3310—611no—
848#3306—611no—
849#3256—611no—
850#3251—611no—
851#3250—611no—
852#3240—611no—
853#3234—611no—
854#3232—611no—
855#3114—611no—
856#3111—611no—
857#3105—611no—
858#3080—611no—
859#3077—611no—
860C2×#478—611no—
861#2989—611no—
862C2×C61—22no—
863C2×C61—41no—
864C2×C61—41no—
865C2×C61—42no—
866C2×C61—81no—
867C2×C61—81no—
868C2×C61#348911yescharacteristic
869C2×C61C2×#57511yescharacteristic
870C2×C61#358511yescharacteristic
871D61—81no—
872#559C2×D6111yescharacteristic
873#557—611no—
874#554—611no—
875#554—611no—
876#554C2×D6111yescharacteristic
877#554C2×D6111yescharacteristic
878#553—21no—
879#553—611no—
880#553—611no—
881#553C2×D6111yescharacteristic
882#553C2×D6111yescharacteristic
883#552—611no—
884#552—611no—
885#552—1221no—
886#552—1221no—
887#552—1221no—
888#551—21no—
889#551—21no—
890#547—611no—
891#547—1221no—
892#546—21no—
893#546C2×D6111yescharacteristic
894#546C2×D6111yescharacteristic
895D42C2×D6111yescharacteristic
896#541—1221no—
897#539—1221no—
898#539—1221no—
899#533—611no—
900#532C2×D6111yescharacteristic
901#529—21no—
902#529—611no—
903#529—611no—
904#529—611no—
905#529C2×D6111yescharacteristic
906#529C2×D6111yescharacteristic
907C2×#125—611no—
908C2×#125—611no—
909#525—21no—
910#525—21no—
911#520—1221no—
912C4×#41C2×D6111yescharacteristic
913C4×#41C2×D6111yescharacteristic
914C2×C4×D4—21no—
915C2×C4×D4C2×D6111yescharacteristic
916C2×C4×D4C2×D6111yescharacteristic
917#501—611no—
918#501—611no—
919#501—611no—
920#501—611no—
921#499—611no—
922#499—611no—
923#490—611no—
924#490—611no—
925#489—611no—
926#489—611no—
927#488—611no—
928#488—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#484—611no—
933#484—611no—
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#481—611no—
940#481—611no—
941#481—611no—
942#481—611no—
943#480—611no—
944#480—611no—
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478—611no—
970#478—611no—
971#476—611no—
972#476—611no—
973#475—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#469—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#467—611no—
986#466—611no—
987#465—611no—
988#465—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463—611no—
996#463—611no—
997#460—611no—
998#459—611no—
999#452—611no—
1000#450—611no—
1001#450—611no—
1002#449—611no—
1003#447—611no—
1004#447—611no—
1005#446—611no—
1006#446—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019#436—611no—
1020#436—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435—611no—
1025#432—611no—
1026#432—611no—
1027#431—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428—611no—
1032C2×#107—611no—
1033C2×#106—611no—
1034#423—611no—
1035#423—611no—
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102—611no—
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—21no—
1045C2×#41—1221no—
1046C2×#41C22⋊D6111yescharacteristic
1047C2×#41C22×D6111yescharacteristic
1048C22×D4—21no—
1049C22×D4C22×D6111yescharacteristic
1050C22×D4C22×D6111yescharacteristic
1051C23×C4—21no—
1052C23×C4—21no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16—611no—
1057C2×SD16—611no—
1058C2×D8—611no—
1059C2×D8—611no—
1060C2×D8—611no—
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C2×M16—611no—
1065C22×C8—611no—
1066C22×C8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—1221no—
1070C4⋊Q8C22×D6111yescharacteristic
1071#127C22×D6111yescharacteristic
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—21no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125C22×D6111yescharacteristic
1101#125C22×D6111yescharacteristic
1102#124—21no—
1103#124—21no—
1104#124—611no—
1105#124C22×D6111yescharacteristic
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—21no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—611no—
1130C22⋊Q8—611no—
1131C22⋊Q8—611no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8C22×D6111yescharacteristic
1141C22⋊Q8C22×D6111yescharacteristic
1142#121—21no—
1143#121—21no—
1144#121—21no—
1145#121—21no—
1146#121—21no—
1147#121—21no—
1148#121—611no—
1149#121—611no—
1150#121—611no—
1151#121—1221no—
1152#121—1221no—
1153#121C22×D6111yescharacteristic
1154#121C22×D6111yescharacteristic
1155#121C22×D6111yescharacteristic
1156#121C22×D6111yescharacteristic
1157#120—21no—
1158#120—21no—
1159#120—21no—
1160#120—21no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8C22⋊D6111yescharacteristic
1168C4×Q8C22×D6111yescharacteristic
1169C4×Q8C22×D6111yescharacteristic
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—21no—
1172C4×D4—21no—
1173C4×D4—21no—
1174C4×D4—21no—
1175C4×D4—21no—
1176C4×D4—21no—
1177C4×D4—21no—
1178C4×D4—21no—
1179C4×D4—21no—
1180C4×D4—21no—
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4C22⋊D6111yescharacteristic
1194C4×D4C22⋊D6111yescharacteristic
1195C4×D4C22⋊D6111yescharacteristic
1196C4×D4C22×D6111yescharacteristic
1197C4×D4C22×D6111yescharacteristic
1198C4×D4C22×D6111yescharacteristic
1199C4×D4C22×D6111yescharacteristic
1200C4×D4C22×D6111yescharacteristic
1201C4×D4C22×D6111yescharacteristic
1202C4×D4C22×D6111yescharacteristic
1203C4×D4C22×D6111yescharacteristic
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—21no—
1208#117—21no—
1209#117—21no—
1210#117—611no—
1211#117—611no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117C22⋊D6111yescharacteristic
1218#117C22⋊D6111yescharacteristic
1219#117C22⋊D6111yescharacteristic
1220#117C22×D6111yescharacteristic
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4C22×D6111yescharacteristic
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4—21no—
1234C2×C22⋊C4—21no—
1235C2×C22⋊C4—21no—
1236C2×C22⋊C4—21no—
1237C2×C42—21no—
1238C2×C42C22×D6111yescharacteristic
1239C2×C42C22×D6111yescharacteristic
1240C2×C42C22×D6111yescharacteristic
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107—611no—
1251#107—611no—
1252#107—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106—611no—
1262#106—611no—
1263#106—611no—
1264#106—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8—611no—
1273C4⋊C8—611no—
1274C4⋊C8—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8—611no—
1312C22⋊C8—611no—
1313#97—611no—
1314#97—611no—
1315#97—611no—
1316#97—611no—
1317C4×C8—611no—
1318C4×C8—611no—
1319C24—21no—
1320C24—21no—
1321#41—22no—
1322#41—42no—
1323#41—41no—
1324#41—82no—
1325#41—2444no—
1326C2×Q8—21no—
1327C2×Q8—611no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8C2×C22⋊D6111yescharacteristic
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—44no—
1346C2×D4—611no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4C2×C22⋊D6111yescharacteristic
1351C2×D4C2×C22⋊D6111yescharacteristic
1352C2×D4C2×C22⋊D6111yescharacteristic
1353C2×D4C23×D6111yescharacteristic
1354C2×D4C23×D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—82no—
1368C22×C4—82no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4C2×C22⋊D6111yescharacteristic
1377C22×C4C2×C22⋊D6111yescharacteristic
1378C22×C4C2×C22⋊D6111yescharacteristic
1379C22×C4C2×C22⋊D6111yescharacteristic
1380C22×C4C2×C22⋊D6111yescharacteristic
1381C22×C4C2×C22⋊D6111yescharacteristic
1382C22×C4C23×D6111yescharacteristic
1383C22×C4C23×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—2441no—
1386SD16—1222no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—1222no—
1391D8—2441no—
1392D8—2441no—
1393M16—2441no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—611no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—611no—
1403C2×C8—611no—
1404C2×C8—611no—
1405C2×C8—2441no—
1406C2×C8—2441no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4C2×C22⋊D6111yescharacteristic
1451C4⋊C4C2×C22⋊D6111yescharacteristic
1452C4⋊C4C2×C22⋊D6111yescharacteristic
1453C4⋊C4C2×C22⋊D6111yescharacteristic
1454C4⋊C4C2×C22⋊D6111yescharacteristic
1455C4⋊C4C2×C22⋊D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C4⋊C4C23×D6111yescharacteristic
1459C4⋊C4C23×D6111yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4C2×C22⋊D6111yescharacteristic
1493C22⋊C4C2×C22⋊D6111yescharacteristic
1494C22⋊C4C2×C22⋊D6111yescharacteristic
1495C22⋊C4C2×C22⋊D6111yescharacteristic
1496C22⋊C4C2×C22⋊D6111yescharacteristic
1497C22⋊C4C2×C22⋊D6111yescharacteristic
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42C2×C22⋊D6111yescharacteristic
1507C42C2×C22⋊D6111yescharacteristic
1508C42C2×C22⋊D6111yescharacteristic
1509C42C2×C22⋊D6111yescharacteristic
1510C42C2×C22⋊D6111yescharacteristic
1511C42C2×C22⋊D6111yescharacteristic
1512C42C23×D6111yescharacteristic
1513C42C23×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—42no—
1520C23—42no—
1521C23—42no—
1522C23—42no—
1523C23—81no—
1524C23—81no—
1525C23—1221no—
1526C23C22×C22⋊D6111yescharacteristic
1527C23C22×C22⋊D6111yescharacteristic
1528C23C22×C22⋊D6111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—41no—
1532Q8—81no—
1533Q8—1221no—
1534Q8—1221no—
1535Q8—4881no—
1536Q8—2442no—
1537D4—22no—
1538D4—22no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—41no—
1545D4—42no—
1546D4—42no—
1547D4—42no—
1548D4—42no—
1549D4—42no—
1550D4—42no—
1551D4—81no—
1552D4—81no—
1553D4—81no—
1554D4—1221no—
1555D4—1221no—
1556D4—4881no—
1557D4—2442no—
1558D4—2442no—
1559D4#1451982412yes—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—42no—
1578C2×C4—42no—
1579C2×C4—42no—
1580C2×C4—42no—
1581C2×C4—42no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—1221no—
1593C2×C4—1221no—
1594C2×C4—1221no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—4881no—
1599C2×C4—2442no—
1600C2×C4—2442no—
1601C2×C4—2442no—
1602C2×C4C22×C22⋊D6111yescharacteristic
1603C2×C4C22×C22⋊D6111yescharacteristic
1604C2×C4C22×C22⋊D6111yescharacteristic
1605C2×C4C22×C22⋊D6111yescharacteristic
1606C2×C4C22×C22⋊D6111yescharacteristic
1607C2×C4C22×C22⋊D6111yescharacteristic
1608C2×C4C22×C22⋊D6111yescharacteristic
1609C2×C4C22×C22⋊D6111yescharacteristic
1610C2×C4C22×C22⋊D6111yescharacteristic
1611C2×C4C22×C22⋊D6111yescharacteristic
1612C2×C4C22×C22⋊D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—1221no—
1615C8—1221no—
1616C8—1221no—
1617C8—1221no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—22no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—21no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—84no—
1640C22—84no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22#1684056012yes—
1645C22C23×C22⋊D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—21no—
1655C4—21no—
1656C4—21no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C4C2×#1451982411yescharacteristic
1670C4#1684059811yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—41no—
1674C2—42no—
1675C2—81no—
1676C2—81no—
1677C2—4881no—
1678C2#2145949911yescharacteristic
1679C2C2×#1684056011yescharacteristic
1680C2#2146059911yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3481C2
socleC22×C61C23×D4
hypercenter#3481D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3481

Complements

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

NH ≅ G/Ntype
1. #21459797C2semidirect
2. #21458773C2semidirect
3. #21458764C2semidirect
4. #21458581C2semidirect
5. #21458566C2semidirect
6. #21458419C2semidirect
7. #21458373C2semidirect
8. #21458304C2semidirect
9. #21458298C2semidirect
10. #21458283C2semidirect
11. #21458268C2semidirect
12. #21458035C2semidirect
13. #21458020C2semidirect
14. #21457960C2semidirect
15. #21457900C2semidirect
16. #21457840C2semidirect
17. #21457780C2semidirect
18. #21457215C2semidirect
19. #21457175C2semidirect
20. #21457166C2semidirect
21. #21457055C2semidirect
22. #21457005C2semidirect
23. #21456983C2semidirect
24. #21455957C2semidirect
25. #21455928C2semidirect
26. #21455866C2semidirect
27. #21455641C2semidirect
28. #21455616C2semidirect
29. C2×#16840062C2semidirect
30. #21454936C2semidirect
31. C61×#3481C2semidirect
32. #16840490C22semidirect
33. #16840472C22semidirect
34. #16840469C22semidirect
36. #16840458C22semidirect
38. #16840452C22semidirect
42. #16840416C22semidirect
47. #16840319C22semidirect
48. #16840296C22semidirect
49. #16840296C22semidirect
50. #16840296C22semidirect
51. C2×#14519769C22semidirect
52. C2×#14519769C22semidirect
54. #16840172C22semidirect
55. #16840172C22semidirect
56. #16840168C22semidirect
57. #16840168C22semidirect
58. #16840161C22semidirect
59. #16840161C22semidirect
62. #16840121C22semidirect
63. #16840121C22semidirect
64. #16840116C22semidirect
65. #16840116C22semidirect
66. #16840103C22semidirect
67. #16840100C22semidirect
68. #16840100C22semidirect
69. #16840097C22semidirect
70. #16840095C22semidirect
71. #16840092C22semidirect
72. #16840090C22semidirect
73. #16840086C22semidirect
76. #16840080C22semidirect
78. #16840078C22semidirect
79. #16840078C22semidirect
80. #16840075C22semidirect
82. #16840073C22semidirect
83. #16840073C22semidirect
84. #16840069C22semidirect
85. #16840069C22semidirect
86. #16840069C22semidirect
87. #16840069C22semidirect
88. #16840069C22semidirect
89. #16840066C22semidirect
90. #16840066C22semidirect
98. #16840062C22semidirect
99. #16840062C22semidirect
100. #16840062C22semidirect
101. #16840062C22semidirect
102. #16840062C22semidirect
103. #16840062C22semidirect
104. #16840062C22semidirect
105. #16840062C22semidirect
106. #16840059C22semidirect
107. #16840059C22semidirect
109. #16840052C22semidirect
110. #16840044C22semidirect
112. #16840042C22semidirect
113. #16840039C22semidirect
114. #16840018C22semidirect
116. #16840013C22semidirect
117. #16840013C22semidirect
118. #16840010C22semidirect
120. #16840006C22semidirect
121. #16840006C22semidirect
122. #16840001C22semidirect
124. #16839993C22semidirect
126. #16839984C22semidirect
127. #16839981C22semidirect
128. #16839981C22semidirect
130. #16839977C22semidirect
131. #16839977C22semidirect
132. #16839974C22semidirect
133. #16839974C22semidirect
142. #16839893C22semidirect
143. #16839893C22semidirect
146. #16839872C22semidirect
147. #16839867C22semidirect
150. #16839862C22semidirect
151. #16839860C22semidirect
153. C4×#11758200C22semidirect
155. C4×#11758199C22semidirect
156. #16839840C22semidirect
157. #16839840C22semidirect
160. #16839834C22semidirect
161. #16839834C22semidirect
162. #16839819C22semidirect
163. #16839819C22semidirect
164. #16839815C22semidirect
165. #16839805C22semidirect
166. #16839805C22semidirect
167. #16839802C22semidirect
168. #16839802C22semidirect
169. C2×#14519710C22semidirect
170. C2×#14519708C22semidirect
171. #16839786C22semidirect
172. #16839786C22semidirect
173. C2×C4⋊#92418C22semidirect
832. #3481D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597972
#214587732
#214587642
#214585812
#214585662
#214584192
#214583732
#214583042
#214582982
#214582832
#214582682
#214580352
#214580202
#214579602
#214579002
#214578402
#214577802
#214572152
#214571752
#214571662
#214570552
#214570052
#214569832
#214559572
#214559282
#214558662
#214556412
#214556162
C2×#168400622
#214549362
C61×#34812
#6211961