Finite Group Databasebeta

← #30573712

Subgroups — #30573712

Order 15616.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460178C211yesmaximal, characteristic, complemented
2#21459882C211yesmaximal, characteristic, complemented
3#21458899C211yesmaximal, characteristic, complemented
4#21458843C211yesmaximal, characteristic, complemented
5#21458644C211yesmaximal, characteristic, complemented
6#21458523C211yesmaximal, characteristic, complemented
7#21457916C211yesmaximal, characteristic, complemented
8#21457851C211yesmaximal, characteristic, complemented
9#21457838C211yesmaximal, characteristic, complemented
10#21457756C211yesmaximal, characteristic, complemented
11#21457663C211yesmaximal, characteristic, complemented
12#21457549C211yesmaximal, characteristic, complemented
13#21457502C211yesmaximal, characteristic, complemented
14#21457356C211yesmaximal, characteristic, complemented
15#21457349C211yesmaximal, characteristic, complemented
16#21457337C211yesmaximal, characteristic, complemented
17#21457306C211yesmaximal, characteristic, complemented
18#21457289C211yesmaximal, characteristic, complemented
19#21457251C211yesmaximal, characteristic, complemented
20#21457138C211yesmaximal, characteristic, complemented
21#21456911C211yesmaximal, characteristic, complemented
22#21456892C211yesmaximal, characteristic, complemented
23#21456854C211yesmaximal, characteristic, complemented
24#21456076C211yesmaximal, characteristic, complemented
25#21456007C211yesmaximal, characteristic, complemented
26#21455965C211yesmaximal, characteristic, complemented
27#21455357C211yesmaximal, characteristic, complemented
28#21455317C211yesmaximal, characteristic, complemented
29#21455272C211yesmaximal, characteristic, complemented
30#21454959C211yesmaximal, characteristic, complemented
31C61×#3309C211yesmaximal, characteristic, complemented
32C2×#14519805C2211yescharacteristic
33C2×#14519801C2211yescharacteristic, complemented
34C2×#14519799C2211yescharacteristic, complemented
35C2×#14519797C2211yescharacteristic, complemented
36C2×#14519797C2211yescharacteristic, complemented
37C2×D8×D61C2211yescharacteristic
38#16840500—21no—
39#16840499—21no—
40#16840484C2211yescharacteristic, complemented
41#16840482C2211yescharacteristic, complemented
42#16840480C2211yescharacteristic, complemented
43#16840468C2211yescharacteristic, complemented
44#16840461—21no—
45#16840459—21no—
46#16840448—21no—
47#16840447C2211yescharacteristic
48#16840441—21no—
49#16840435—21no—
50#16840432C2211yescharacteristic, complemented
51#16840430C2211yescharacteristic
52#16840417C2211yescharacteristic, complemented
53#16840411C2211yescharacteristic
54#16840409C2211yescharacteristic
55#16840409C2211yescharacteristic, complemented
56#16840408C2211yescharacteristic, complemented
57#16840401—21no—
58#16840400C2211yescharacteristic
59#16840396C2211yescharacteristic
60#16840384C2211yescharacteristic
61#16840379C2211yescharacteristic, complemented
62#16840379C2211yescharacteristic, complemented
63#16840375C2211yescharacteristic, complemented
64#16840355—21no—
65#16840345—21no—
66#16840344—21no—
67#16840344—21no—
68#16840339—21no—
69#16840326C2211yescharacteristic, complemented
70#16840325—21no—
71#16840325C2211yescharacteristic
72#16840308C2211yescharacteristic, complemented
73#16840307C2211yescharacteristic, complemented
74#16840294—21no—
75#16840293C2211yescharacteristic, complemented
76#16840292C2211yescharacteristic
77#126×D61—21no—
78#16840243C2211yescharacteristic, complemented
79#16840234C2211yescharacteristic, complemented
80#16840230C2211yescharacteristic, complemented
81#16840156C2211yescharacteristic, complemented
82#16840153C2211yescharacteristic, complemented
83#16840150C2211yescharacteristic
84#16840150C2211yescharacteristic, complemented
85#16840143C2211yescharacteristic
86#16840134C2211yescharacteristic, complemented
87#16840129C2211yescharacteristic, complemented
88#16840125C2211yescharacteristic, complemented
89#16840123C2211yescharacteristic, complemented
90#16840119C2211yescharacteristic, complemented
91#16840107C2211yescharacteristic, complemented
92#16840101C2211yescharacteristic, complemented
93#16840097C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic
95#16840086C2211yescharacteristic, complemented
96#16840065C2211yescharacteristic, complemented
97#16840064C2211yescharacteristic, complemented
98#16840059C2211yescharacteristic, complemented
99#16840056C2211yescharacteristic, complemented
100#16840050C2211yescharacteristic, complemented
101#16840050C2211yescharacteristic, complemented
102#16840046C2211yescharacteristic, complemented
103#16840046C2211yescharacteristic, complemented
104#16840041C2211yescharacteristic, complemented
105#16840020C2211yescharacteristic, complemented
106#16840019C2211yescharacteristic, complemented
107#16840009C2211yescharacteristic
108#16840002C2211yescharacteristic, complemented
109#16839996C2211yescharacteristic
110#16839992C2211yescharacteristic
111#16839991C2211yescharacteristic, complemented
112#16839989C2211yescharacteristic, complemented
113#16839989C2211yescharacteristic, complemented
114#16839989C2211yescharacteristic, complemented
115#16839987C2211yescharacteristic, complemented
116#16839987C2211yescharacteristic, complemented
117#16839987C2211yescharacteristic, complemented
118#16839983C2211yescharacteristic, complemented
119#16839983C2211yescharacteristic, complemented
120#16839983C2211yescharacteristic, complemented
121#16839980C2211yescharacteristic
122#16839980C2211yescharacteristic, complemented
123#16839979C2211yescharacteristic, complemented
124#16839978C2211yescharacteristic
125#16839977C2211yescharacteristic
126#16839976C2211yescharacteristic
127#16839976C2211yescharacteristic, complemented
128#16839975C2211yescharacteristic, complemented
129#16839975C2211yescharacteristic, complemented
130#16839975C2211yescharacteristic, complemented
131#16839972C2211yescharacteristic, complemented
132#16839971C2211yescharacteristic, complemented
133#16839968C2211yescharacteristic, complemented
134#16839966C2211yescharacteristic, complemented
135#16839961C2211yescharacteristic, complemented
136#16839961C2211yescharacteristic, complemented
137#16839961C2211yescharacteristic, complemented
138#16839961C2211yescharacteristic, complemented
139#16839956C2211yescharacteristic
140#16839956C2211yescharacteristic
141#16839956C2211yescharacteristic, complemented
142#16839955C2211yescharacteristic
143#16839954C2211yescharacteristic, complemented
144#16839926C2211yescharacteristic, complemented
145#16839926C2211yescharacteristic, complemented
146#16839925C2211yescharacteristic, complemented
147#16839925C2211yescharacteristic, complemented
148#16839924C2211yescharacteristic, complemented
149#16839924C2211yescharacteristic, complemented
150#16839915C2211yescharacteristic, complemented
151#16839914C2211yescharacteristic
152#16839914C2211yescharacteristic
153#16839911C2211yescharacteristic, complemented
154#16839909C2211yescharacteristic
155#16839905C2211yescharacteristic
156#16839905C2211yescharacteristic, complemented
157#16839905C2211yescharacteristic, complemented
158#16839897C2211yescharacteristic
159#16839895C2211yescharacteristic
160#16839890C2211yescharacteristic, complemented
161#16839889C2211yescharacteristic, complemented
162#16839875C2211yescharacteristic, complemented
163#16839873C2211yescharacteristic
164#16839871C2211yescharacteristic, complemented
165#16839861C2211yescharacteristic, complemented
166#16839861C2211yescharacteristic, complemented
167#16839859C2211yescharacteristic, complemented
168#16839859C2211yescharacteristic, complemented
169#16839856C2211yescharacteristic, complemented
170C4×#11758201C2211yescharacteristic, complemented
171C4×#11758199C2211yescharacteristic, complemented
172#16839842C2211yescharacteristic, complemented
173#16839833C2211yescharacteristic, complemented
174#16839831C2211yescharacteristic
175#16839830C2211yescharacteristic
176D4×#92418C2211yescharacteristic, complemented
177#16839825C2211yescharacteristic, complemented
178#16839824C2211yescharacteristic, complemented
179#16839820C2211yescharacteristic, complemented
180#16839816C2211yescharacteristic, complemented
181#16839790C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic, complemented
183C2×#14519706C2211yescharacteristic, complemented
184#16839765C2211yescharacteristic
185#16839756C2211yescharacteristic, complemented
186#16839755C2211yescharacteristic, complemented
187C2×#14519697C2211yescharacteristic, complemented
188C61×#553C2211yescharacteristic, complemented
189C61×#550C2211yescharacteristic, complemented
190C61×#490C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#480C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic
195C61×#466C2211yescharacteristic, complemented
196C61×#459C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic, complemented
198C61×#449C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224C2311yescharacteristic
209C22×D244C2311yescharacteristic
210C2×D4×D61—21no—
211C2×D4×D61C2311yescharacteristic
212C2×D4×D61C2311yescharacteristic
213#14519805—42no—
214#14519801—42no—
215#14519799—42no—
216#14519797—42no—
217#14519797—42no—
218C2×Dic244C2311yescharacteristic
219C2×Dic244C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758190C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×D488C2311yescharacteristic
234C2×D488C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239D8×D61—42no—
240C2×#11758189C2311yescharacteristic
241C22×#92418C2311yescharacteristic
242C22×#92418C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244#14519777C2311yescharacteristic
245#14519776C2311yescharacteristic
246#14519776C2311yescharacteristic
247#14519775C2311yescharacteristic
248#14519773—21no—
249#14519773C2311yescharacteristic
250#14519773C2311yescharacteristic
251#14519773C2311yescharacteristic
252#14519772—21no—
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519772D411yescharacteristic
257#14519771—21no—
258#14519771—21no—
259#14519771—21no—
260#14519770—21no—
261#14519770—21no—
262#14519770—21no—
263#14519770—21no—
264#14519770—21no—
265#14519770—21no—
266#14519770D411yescharacteristic
267#14519768—21no—
268#14519768—21no—
269#14519768C2311yescharacteristic
270#14519767—21no—
271#14519767D411yescharacteristic
272#14519766C2311yescharacteristic
273#14519766C2311yescharacteristic
274#14519765—21no—
275#14519765C2311yescharacteristic
276#14519764—21no—
277#14519764—21no—
278#14519764C2311yescharacteristic
279#14519764C2311yescharacteristic
280#14519764C2311yescharacteristic
281#14519763—21no—
282#14519763—21no—
283#14519763D411yescharacteristic
284#14519762—21no—
285#14519762—21no—
286#14519761D411yescharacteristic
287#14519760—21no—
288#14519760—21no—
289#14519760—21no—
290#14519759—21no—
291#14519759—21no—
292#14519759—21no—
293#14519759—21no—
294#14519758—21no—
295#14519758—21no—
296#14519758—21no—
297#14519758—21no—
298#14519758D411yescharacteristic
299#14519757—21no—
300#14519757C2311yescharacteristic
301#14519757C2311yescharacteristic
302#14519756—21no—
303#14519756C2311yescharacteristic
304#14519756C2311yescharacteristic
305#14519756C2311yescharacteristic
306#14519755—21no—
307#14519755—21no—
308#14519755—21no—
309#14519755—21no—
310#14519754—21no—
311#14519754—21no—
312#14519754D411yescharacteristic
313#14519753C2311yescharacteristic
314#14519752C2311yescharacteristic
315#14519751—21no—
316#14519751—21no—
317#14519751C2311yescharacteristic
318#14519750—21no—
319#14519750—21no—
320#14519750—21no—
321#14519749—21no—
322#14519749—21no—
323#14519749—21no—
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749—21no—
328#14519749—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749D411yescharacteristic
332#14519748—21no—
333#14519748—21no—
334#14519748—21no—
335#14519748—21no—
336#14519747—21no—
337#14519745—21no—
338#14519745—21no—
339#14519745—21no—
340#14519745—21no—
341#14519745—21no—
342#14519745—21no—
343#14519745—21no—
344#14519745—21no—
345#14519745—21no—
346C4×Dic122—21no—
347C4×Dic122C2311yescharacteristic
348#14519742C2311yescharacteristic
349#14519742C2311yescharacteristic
350#14519742C2311yescharacteristic
351#14519742C2311yescharacteristic
352#14519742C2311yescharacteristic
353C4×D244C2311yescharacteristic
354C4×D244C2311yescharacteristic
355D4×Dic61—21no—
356D4×Dic61C2311yescharacteristic
357D4×Dic61C2311yescharacteristic
358D4×Dic61C2311yescharacteristic
359#14519739C2311yescharacteristic
360#14519739C2311yescharacteristic
361#14519739C2311yescharacteristic
362#14519739C2311yescharacteristic
363C4×C22⋊D61—21no—
364C4×C22⋊D61—21no—
365C4×C22⋊D61—21no—
366C4×C22⋊D61—21no—
367C4×C22⋊D61—21no—
368C4×C22⋊D61C2311yescharacteristic
369C4×C22⋊D61C2311yescharacteristic
370#14519737—21no—
371#14519737—21no—
372#14519737—21no—
373#14519737—21no—
374#14519737—21no—
375#14519736—21no—
376#14519736—21no—
377#14519736C2311yescharacteristic
378#14519735—21no—
379#14519735C2311yescharacteristic
380#14519734—21no—
381#14519734—21no—
382#14519734C2311yescharacteristic
383#14519733—21no—
384C2×#11758196—21no—
385C4⋊C4×D61—21no—
386C4⋊C4×D61—21no—
387C4⋊C4×D61—21no—
388C2×#11758198—21no—
389C2×#11758198—21no—
390C22⋊C4×D61—21no—
391C22⋊C4×D61—21no—
392C22⋊C4×D61—21no—
393C22⋊C4×D61—21no—
394C2×C4×Dic61C2311yescharacteristic
395C42×D61—21no—
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C4×#92418C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C2×#41×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446C2×M16×C61C2311yescharacteristic
447C22×C8×C61C2311yescharacteristic
448#127×C61—21no—
449#127×C61C2311yescharacteristic
450#126×C61—21no—
451#125×C61C2311yescharacteristic
452#123×C61—21no—
453#121×C61—21no—
454#121×C61—21no—
455#121×C61—21no—
456#121×C61C2311yescharacteristic
457#121×C61C2311yescharacteristic
458#121×C61C2311yescharacteristic
459#121×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×D4×C61—21no—
462C4×D4×C61—21no—
463C4×D4×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466C2×C4⋊C4×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483#97×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486C23×D61—21no—
487#41×C61—41no—
488#41×C61—41no—
489#41×C61—41no—
490#41×C61—41no—
491C2×Q8×C61C2411yescharacteristic
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—21no—
499C2×D4×C61—21no—
500C2×D4×C61C2×D411yescharacteristic
501C2×D4×C61C2411yescharacteristic
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—21no—
523C2×C22⋊D61C2×D411yescharacteristic
524C2×C22⋊D61C2×D411yescharacteristic
525C22×Dic61—21no—
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61C2×D411yescharacteristic
530C22×Dic61C2×D411yescharacteristic
531#11758224—41no—
532#11758224—41no—
533#11758224—82no—
534#11758224—82no—
535D4×D61—22no—
536D4×D61—41no—
537D4×D61—41no—
538D4×D61—41no—
539D4×D61—82no—
540#11758222—22no—
541#11758222—22no—
542#11758222—41no—
543#11758222—41no—
544#11758222—41no—
545#11758222—41no—
546C2×D244—21no—
547C2×D244—21no—
548C2×D244—41no—
549C2×D244—41no—
550C2×D244C2411yescharacteristic
551C2×D244C2411yescharacteristic
552C2×D244C2411yescharacteristic
553C2×C4×D61—21no—
554C2×C4×D61—21no—
555C2×C4×D61—21no—
556C2×C4×D61—21no—
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61C2411yescharacteristic
563C2×Dic122—21no—
564C2×Dic122—21no—
565C2×Dic122C2×D411yescharacteristic
566C2×Dic122C2411yescharacteristic
567C2×Dic122C2411yescharacteristic
568C2×Dic122C2411yescharacteristic
569SD16×C61—41no—
570D8×C61—41no—
571D8×C61—41no—
572M16×C61—41no—
573C2×C8×C61—41no—
574C2×C8×C61C2411yescharacteristic
575C2×C8×C61C2411yescharacteristic
576C2×C8×C61C2411yescharacteristic
577C2×C8×C61C2411yescharacteristic
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61C2×D411yescharacteristic
583C4⋊C4×C61C2411yescharacteristic
584C4⋊C4×C61C2411yescharacteristic
585C4⋊C4×C61C2411yescharacteristic
586C4⋊C4×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
594C22⋊C4×C61C2×D411yescharacteristic
595C42×C61—21no—
596C42×C61—21no—
597C42×C61C2411yescharacteristic
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61C2×D411yescharacteristic
611C22⋊Dic61C2×D411yescharacteristic
612C22⋊Dic61C2×D411yescharacteristic
613C22⋊Dic61C2×D411yescharacteristic
614#11758202—41no—
615#11758202—41no—
616#11758201—22no—
617#11758200—41no—
618#11758200—41no—
619#11758200—41no—
620#11758200—41no—
621#11758200—41no—
622#11758199—22no—
623#11758199—22no—
624#11758199—41no—
625#11758199—41no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198C2×D411yescharacteristic
645#11758198C2×D411yescharacteristic
646#11758198C2×D411yescharacteristic
647#11758198C2×D411yescharacteristic
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61—21no—
653C4⋊Dic61C2×D411yescharacteristic
654C4⋊Dic61C2×D411yescharacteristic
655C4⋊Dic61C2×D411yescharacteristic
656C4⋊Dic61C2411yescharacteristic
657C4⋊Dic61C2411yescharacteristic
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C4×Dic61C2411yescharacteristic
688C4×Dic61C2411yescharacteristic
689C2×#92418—41no—
690C2×#92418—41no—
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695Dic244—41no—
696Dic244—41no—
697D488—22no—
698D488—22no—
699#11758190—22no—
700#11758190—41no—
701#11758190—41no—
702#11758190—41no—
703#11758190—41no—
704#11758189—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61C22×D411yescharacteristic
710C23×C61C22×D411yescharacteristic
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—42no—
715C22×D61—81no—
716C22×D61—81no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61—81no—
720C22×D61—81no—
721C22×D61—81no—
722C22×D61—81no—
723C22×D61C22×D411yescharacteristic
724Q8×C61—21no—
725Q8×C61—21no—
726D4×C61—21no—
727D4×C61—21no—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—41no—
733D4×C61—81no—
734D4×C61—81no—
735D4×C61—81no—
736D4×C61—81no—
737D4×C61—81no—
738D4×C61—81no—
739D4×C61—81no—
740D4×C61—81no—
741C2×C4×C61—21no—
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—81no—
751C2×C4×C61—81no—
752C2×C4×C61—81no—
753C2×C4×C61—81no—
754C2×C4×C61C22×D411yescharacteristic
755C2×C4×C61C22×D411yescharacteristic
756C2×C4×C61C22×D411yescharacteristic
757C2×C4×C61C22×D411yescharacteristic
758C2×C4×C61C2511yescharacteristic
759C22⋊D61—41no—
760C22⋊D61—41no—
761C22⋊D61—42no—
762C22⋊D61—42no—
763C22⋊D61—42no—
764C22⋊D61—42no—
765C22⋊D61—81no—
766C22⋊D61—81no—
767C22⋊D61—81no—
768C22⋊D61—81no—
769C22⋊D61—81no—
770C22⋊D61—81no—
771C22⋊D61—81no—
772C22⋊D61—81no—
773C22⋊D61—81no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—41no—
780C2×Dic61—41no—
781C2×Dic61—42no—
782C2×Dic61—81no—
783C2×Dic61—81no—
784C2×Dic61—81no—
785C2×Dic61C22×D411yescharacteristic
786C2×Dic61C22×D411yescharacteristic
787C2×Dic61C22×D411yescharacteristic
788C2×Dic61C22×D411yescharacteristic
789C2×Dic61C22×D411yescharacteristic
790C2×Dic61C22×D411yescharacteristic
791C2×Dic61C22×D411yescharacteristic
792D244—21no—
793D244—21no—
794D244—21no—
795D244—21no—
796D244—21no—
797D244—81no—
798D244—81no—
799D244H(5,𝔽2)12yes—
800C4×D61—21no—
801C4×D61—21no—
802C4×D61—42no—
803C4×D61—42no—
804C4×D61—42no—
805C4×D61—81no—
806C4×D61—81no—
807C4×D61—81no—
808C4×D61—81no—
809C4×D61—81no—
810C4×D61—81no—
811Dic122—21no—
812Dic122—21no—
813Dic122—21no—
814Dic122—21no—
815Dic122—21no—
816Dic122—21no—
817Dic122—41no—
818Dic122—81no—
819Dic122—81no—
820C8×C61—21no—
821C8×C61—21no—
822C8×C61—21no—
823C8×C61—21no—
824#92418—21no—
825#92418—21no—
826#92418—21no—
827#92418—21no—
828#62024—611nomaximal, Sylow
829C22×C61—21no—
830C22×C61—21no—
831C22×C61—21no—
832C22×C61—21no—
833C22×C61—21no—
834C22×C61—21no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61C23×D411yescharacteristic
845C2×D61—21no—
846C2×D61—21no—
847C2×D61—21no—
848C2×D61—22no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—162no—
858C2×D61—162no—
859C2×D61—162no—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—21no—
863C4×C61—21no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61C2×H(5,𝔽2)11yescharacteristic
870C4×C61#58511yescharacteristic
871Dic61—21no—
872Dic61—21no—
873Dic61—21no—
874Dic61—21no—
875Dic61—21no—
876Dic61—21no—
877Dic61—21no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882Dic61—41no—
883#3546—611no—
884#3521—611no—
885#3402—611no—
886#3397—611no—
887#3376—611no—
888#3366—611no—
889#3315—611no—
890#3311—611no—
891#3310—611no—
892#3309D6111yescharacteristic, complemented
893#3304—611no—
894#3297—611no—
895#3284—611no—
896#3280—611no—
897#3268—611no—
898#3267—611no—
899#3267—611no—
900#3264—611no—
901#3263—611no—
902#3258—611no—
903#3247—611no—
904#3224—611no—
905#3222—611no—
906#3219—611no—
907#3124—611no—
908#3118—611no—
909#3115—611no—
910#3045—611no—
911#3041—611no—
912#3035—611no—
913#2992—611no—
914C2×C61—41no—
915C2×C61—41no—
916C2×C61—81no—
917C2×C61—81no—
918C2×C61—81no—
919C2×C61#348811yescharacteristic
920C2×C61#358411yescharacteristic
921C2×C61#358511yescharacteristic
922D61—41no—
923D61—42no—
924D61—81no—
925D61—81no—
926C2×AGL(1,ℤ/8)—611no—
927C2×AGL(1,ℤ/8)—611no—
928C2×#135—611no—
929C2×#135—611no—
930C2×#135—611no—
931C22×D8—611no—
932#560—1221no—
933#560—1221no—
934#556—611no—
935#556—611no—
936#556—611no—
937#554—611no—
938#553—1221no—
939#553—1221no—
940#553C2×D6111yescharacteristic, complemented
941#552—611no—
942#552—1221no—
943#551—1221no—
944#551—1221no—
945#550—611no—
946#550—611no—
947#550C2×D6111yescharacteristic, complemented
948#547—611no—
949#547—611no—
950#546—611no—
951#546—611no—
952#546—611no—
953#546—611no—
954#546—1221no—
955D42—611no—
956#542—611no—
957#542—611no—
958#542—611no—
959#541—611no—
960#539—1221no—
961#538—1221no—
962#538—1221no—
963#538—1221no—
964#537—1221no—
965#535—611no—
966#535—611no—
967#535—1221no—
968#532—611no—
969#532—611no—
970#529—611no—
971#529—611no—
972#529—1221no—
973C2×#126—1221no—
974#520—611no—
975#518—611no—
976C4×#41—611no—
977#497—611no—
978#497—611no—
979#496—611no—
980#496—611no—
981#495—611no—
982#492—611no—
983#491—611no—
984#490—611no—
985#490C2×D6111yescharacteristic, complemented
986#489—611no—
987#488—611no—
988#486—611no—
989#485—611no—
990#484—611no—
991#482—611no—
992#482—611no—
993#482C2×D6111yescharacteristic, complemented
994#480C2×D6111yescharacteristic, complemented
995#479C2×D6111yescharacteristic, complemented
996#478—611no—
997#478—611no—
998#478—611no—
999#477—611no—
1000#476—611no—
1001#476—611no—
1002#475—611no—
1003#475—611no—
1004#474—611no—
1005#470—611no—
1006#470—611no—
1007#469C2×D6111yescharacteristic
1008#468—611no—
1009#467—611no—
1010#466—611no—
1011#466C2×D6111yescharacteristic, complemented
1012#465—611no—
1013#465—611no—
1014#465—611no—
1015#465—611no—
1016#465—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#464—611no—
1021#464—611no—
1022#464—611no—
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463—611no—
1029#463—611no—
1030#463—611no—
1031#463—611no—
1032#463—611no—
1033#462—611no—
1034#462—611no—
1035#461—611no—
1036#461—611no—
1037#460—611no—
1038#460—611no—
1039#460—611no—
1040#460—611no—
1041#459—611no—
1042#459—611no—
1043#459—611no—
1044#459—611no—
1045#459—611no—
1046#459C2×D6111yescharacteristic, complemented
1047#452—611no—
1048#452—611no—
1049#452—611no—
1050#452—611no—
1051#452—611no—
1052#452—611no—
1053#450—611no—
1054#450—611no—
1055#450—611no—
1056#450—611no—
1057#449—611no—
1058#449—611no—
1059#449—611no—
1060#449—611no—
1061#449C2×D6111yescharacteristic, complemented
1062#449C2×D6111yescharacteristic, complemented
1063#447—611no—
1064#447—611no—
1065#446—611no—
1066#446—611no—
1067#442—611no—
1068#442—611no—
1069#442—611no—
1070#440—611no—
1071#440—611no—
1072#440—611no—
1073#440—611no—
1074#440C2×D6111yescharacteristic, complemented
1075C4×Q16—611no—
1076C4×SD16—611no—
1077C4×D8—611no—
1078C4×D8—611no—
1079#435—611no—
1080#435—611no—
1081#435—611no—
1082#435C2×D6111yescharacteristic, complemented
1083C8×D4—611no—
1084C8×D4—611no—
1085#433—611no—
1086#433—611no—
1087#432—611no—
1088#424—611no—
1089#424—611no—
1090C2×C4⋊C8—611no—
1091#418—611no—
1092#417C2×D6111yescharacteristic, complemented
1093#416—611no—
1094#416—611no—
1095#416C2×D6111yescharacteristic, complemented
1096C2×#102—611no—
1097C61#6202411yescharacteristic, complemented, Sylow
1098C2×#41—611no—
1099C2×#41—611no—
1100C2×#41—611no—
1101C2×#41—611no—
1102C2×#41—1221no—
1103C2×#41—1221no—
1104C2×#41C22×D6111yescharacteristic
1105C2×#41C22×D6111yescharacteristic
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—611no—
1109C22×D4—1221no—
1110AGL(1,ℤ/8)—2442no—
1111AGL(1,ℤ/8)—2442no—
1112#135—2442no—
1113#135—2442no—
1114#135—2442no—
1115C2×Q16—611no—
1116C2×Q16—611no—
1117C2×Q16—611no—
1118C2×Q16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—611no—
1122C2×SD16—611no—
1123C2×SD16—611no—
1124C2×SD16—611no—
1125C2×SD16—611no—
1126C2×SD16—611no—
1127C2×SD16—611no—
1128C2×SD16—611no—
1129C2×SD16—611no—
1130C2×SD16C22×D6111yescharacteristic
1131C2×D8—611no—
1132C2×D8—611no—
1133C2×D8—611no—
1134C2×D8—611no—
1135C2×D8—611no—
1136C2×D8—611no—
1137C2×D8—2442no—
1138C2×D8C22×D6111yescharacteristic
1139C2×D8C22×D6111yescharacteristic
1140C2×M16—611no—
1141C2×M16C22×D6111yescharacteristic
1142C22×C8—611no—
1143C22×C8—611no—
1144C22×C8—611no—
1145C22×C8C22×D6111yescharacteristic
1146C4⋊Q8—611no—
1147C4⋊Q8—611no—
1148C4⋊Q8—611no—
1149C4⋊Q8—611no—
1150#127—21no—
1151#127—611no—
1152#127—611no—
1153#127—611no—
1154#127—1221no—
1155#127C22×D6111yescharacteristic
1156#126—21no—
1157#126—611no—
1158#126—611no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#126—1221no—
1163#126—1221no—
1164#126—1221no—
1165#126—1221no—
1166#126—1221no—
1167#126—1221no—
1168#126—1221no—
1169#126—1221no—
1170#126—1221no—
1171#126—1221no—
1172#125—611no—
1173#125—611no—
1174#125—1221no—
1175#125—1221no—
1176#125—1221no—
1177#125C22×D6111yescharacteristic
1178#124—611no—
1179#124—611no—
1180#124—611no—
1181#124—611no—
1182#124—611no—
1183#124—611no—
1184#124—611no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124—1221no—
1189#124—1221no—
1190#123—21no—
1191#123—611no—
1192#123—611no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205#123—1221no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—611no—
1210C22⋊Q8—611no—
1211C22⋊Q8—611no—
1212C22⋊Q8—611no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218C22⋊Q8—1221no—
1219C22⋊Q8—1221no—
1220C22⋊Q8—1221no—
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121—611no—
1225#121—611no—
1226#121—611no—
1227#121—1221no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121C22×D6111yescharacteristic
1247#121C22×D6111yescharacteristic
1248#121C22×D6111yescharacteristic
1249#121C22×D6111yescharacteristic
1250#120—1221no—
1251#120—1221no—
1252#120—1221no—
1253#120—1221no—
1254#120—1221no—
1255#120—1221no—
1256#120—1221no—
1257#120—1221no—
1258#120—1221no—
1259#120—1221no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—611no—
1263C4×Q8—611no—
1264C4×Q8—611no—
1265C4×Q8—611no—
1266C4×Q8—1221no—
1267C4×Q8C22×D6111yescharacteristic
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
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—1221no—
1282C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1293C4×D4C22×D6111yescharacteristic
1294#117—611no—
1295#117—611no—
1296#117—611no—
1297#117—1221no—
1298#117—1221no—
1299#117—1221no—
1300#117—1221no—
1301#117—1221no—
1302#117—1221no—
1303#117C22×D6111yescharacteristic
1304C2×C4⋊C4—1221no—
1305C2×C4⋊C4—1221no—
1306C2×C4⋊C4—1221no—
1307C2×C4⋊C4—1221no—
1308C2×C4⋊C4C22×D6111yescharacteristic
1309C2×C22⋊C4—1221no—
1310C2×C22⋊C4—1221no—
1311C2×C22⋊C4—1221no—
1312C2×C22⋊C4—1221no—
1313C2×C22⋊C4—1221no—
1314C2×C22⋊C4—1221no—
1315C2×C42—611no—
1316C2×C42—1221no—
1317#107—611no—
1318#107—611no—
1319#107C22×D6111yescharacteristic
1320#107C22×D6111yescharacteristic
1321#106—611no—
1322#106—611no—
1323#106—611no—
1324#106C22×D6111yescharacteristic
1325C4⋊C8—611no—
1326C4⋊C8—611no—
1327C4⋊C8—611no—
1328C4⋊C8—611no—
1329C4⋊C8—611no—
1330C4⋊C8—611no—
1331C4⋊C8—611no—
1332C4⋊C8—611no—
1333C4⋊C8—611no—
1334C4⋊C8C22×D6111yescharacteristic
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103—611no—
1340#103—611no—
1341#103—611no—
1342#103—611no—
1343#103—611no—
1344#103C22×D6111yescharacteristic
1345#103C22×D6111yescharacteristic
1346#103C22×D6111yescharacteristic
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102C22×D6111yescharacteristic
1361#102C22×D6111yescharacteristic
1362#102C22×D6111yescharacteristic
1363#102C22×D6111yescharacteristic
1364#102C22×D6111yescharacteristic
1365#102C22×D6111yescharacteristic
1366#102C22×D6111yescharacteristic
1367C22⋊C8—611no—
1368C22⋊C8—611no—
1369C22⋊C8—611no—
1370C22⋊C8—611no—
1371C22⋊C8C22×D6111yescharacteristic
1372C22⋊C8C22×D6111yescharacteristic
1373#97—611no—
1374#97—611no—
1375#97—611no—
1376#97C22×D6111yescharacteristic
1377C4×C8—611no—
1378C4×C8—611no—
1379C24—1221no—
1380C24—1221no—
1381C24—1221no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—1222no—
1387#41—1222no—
1388#41—4882no—
1389#41—4882no—
1390#41—2441no—
1391#41—2441no—
1392#41—2441no—
1393#41—2441no—
1394#41—2441no—
1395#41—2441no—
1396C2×Q8—611no—
1397C2×Q8—611no—
1398C2×Q8—611no—
1399C2×Q8—611no—
1400C2×Q8—1221no—
1401C2×Q8—1221no—
1402C2×Q8C23×D6111yescharacteristic
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—611no—
1412C2×D4—611no—
1413C2×D4—611no—
1414C2×D4—611no—
1415C2×D4—611no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—1222no—
1426C2×D4—1221no—
1427C2×D4—1221no—
1428C2×D4—1221no—
1429C2×D4—1221no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—4882no—
1433C2×D4—2441no—
1434C2×D4—2441no—
1435C2×D4—2441no—
1436C2×D4—2441no—
1437C2×D4—2441no—
1438C2×D4D4×D6111yescharacteristic
1439C2×D4C23×D6111yescharacteristic
1440C2×D4C23×D6111yescharacteristic
1441C2×D4C23×D6111yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—611no—
1447C22×C4—611no—
1448C22×C4—611no—
1449C22×C4—1221no—
1450C22×C4—1221no—
1451C22×C4—1221no—
1452C22×C4—1221no—
1453C22×C4—1221no—
1454C22×C4—1221no—
1455C22×C4—1221no—
1456C22×C4—1221no—
1457C22×C4—1221no—
1458C22×C4—1221no—
1459C22×C4—1221no—
1460C22×C4—1221no—
1461C22×C4—1221no—
1462C22×C4C23×D6111yescharacteristic
1463C22×C4C23×D6111yescharacteristic
1464Q16—2441no—
1465Q16—2441no—
1466Q16—2441no—
1467Q16—2441no—
1468SD16—41no—
1469SD16—1222no—
1470SD16—1222no—
1471SD16—2441no—
1472SD16—2441no—
1473SD16—2441no—
1474SD16—2441no—
1475SD16—2441no—
1476SD16—2441no—
1477SD16—2441no—
1478SD16—2441no—
1479SD16—2441no—
1480D8—41no—
1481D8—41no—
1482D8—1222no—
1483D8—1222no—
1484D8—1222no—
1485D8—1222no—
1486D8—2441no—
1487D8—2441no—
1488M16—41no—
1489M16—2441no—
1490C2×C8—41no—
1491C2×C8—611no—
1492C2×C8—611no—
1493C2×C8—611no—
1494C2×C8—611no—
1495C2×C8—2441no—
1496C2×C8—2441no—
1497C2×C8—2441no—
1498C2×C8C23×D6111yescharacteristic
1499C2×C8C23×D6111yescharacteristic
1500C2×C8C23×D6111yescharacteristic
1501C2×C8C23×D6111yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—611no—
1507C4⋊C4—611no—
1508C4⋊C4—611no—
1509C4⋊C4—611no—
1510C4⋊C4—611no—
1511C4⋊C4—611no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—611no—
1515C4⋊C4—611no—
1516C4⋊C4—611no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4—1221no—
1525C4⋊C4—1221no—
1526C4⋊C4—1221no—
1527C4⋊C4—1221no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4—1221no—
1536C4⋊C4D4×D6111yescharacteristic
1537C4⋊C4C23×D6111yescharacteristic
1538C4⋊C4C23×D6111yescharacteristic
1539C4⋊C4C23×D6111yescharacteristic
1540C4⋊C4C23×D6111yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—611no—
1548C22⋊C4—611no—
1549C22⋊C4—611no—
1550C22⋊C4—611no—
1551C22⋊C4—611no—
1552C22⋊C4—611no—
1553C22⋊C4—611no—
1554C22⋊C4—611no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4—1221no—
1583C22⋊C4—1221no—
1584C22⋊C4—1221no—
1585C22⋊C4D4×D6111yescharacteristic
1586C22⋊C4D4×D6111yescharacteristic
1587C42—21no—
1588C42—21no—
1589C42—611no—
1590C42—611no—
1591C42—611no—
1592C42—611no—
1593C42—611no—
1594C42—1221no—
1595C42—1221no—
1596C42—1221no—
1597C42—1221no—
1598C42—1221no—
1599C42—1221no—
1600C42C23×D6111yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—611no—
1605C23—1221no—
1606C23—1221no—
1607C23—1221no—
1608C23—4881no—
1609C23—4881no—
1610C23—4881no—
1611C23—4881no—
1612C23—4881no—
1613C23—4881no—
1614C23—4881no—
1615C23—4881no—
1616C23—2442no—
1617C23C2×D4×D6111yescharacteristic
1618C23C2×D4×D6111yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—1221no—
1622Q8—1221no—
1623Q8—1221no—
1624Q8—1221no—
1625Q8—1221no—
1626Q8—1221no—
1627Q8—4881no—
1628Q8—4881no—
1629Q8—2441no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—41no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—612no—
1646D4—1221no—
1647D4—1221no—
1648D4—1221no—
1649D4—1221no—
1650D4—1221no—
1651D4—4881no—
1652D4—4881no—
1653D4—4881no—
1654D4—4881no—
1655D4—4881no—
1656D4—4881no—
1657D4—4881no—
1658D4—4881no—
1659D4—4881no—
1660D4—4881no—
1661D4—4881no—
1662D4—2441no—
1663D4—2441no—
1664D4—2442no—
1665D4—2442no—
1666D4—2442no—
1667D4—2442no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—611no—
1682C2×C4—611no—
1683C2×C4—611no—
1684C2×C4—611no—
1685C2×C4—611no—
1686C2×C4—611no—
1687C2×C4—611no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—4881no—
1696C2×C4—4881no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—4881no—
1700C2×C4—4881no—
1701C2×C4—4881no—
1702C2×C4—4881no—
1703C2×C4—4881no—
1704C2×C4—2442no—
1705C2×C4—2442no—
1706C2×C4—2442no—
1707C2×C4—2441no—
1708C2×C4—2441no—
1709C2×C4—2442no—
1710C2×C4C2×D4×D6111yescharacteristic
1711C2×C4C2×D4×D6111yescharacteristic
1712C2×C4C2×D4×D6111yescharacteristic
1713C2×C4C2×D4×D6111yescharacteristic
1714C2×C4C24×D6111yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1221no—
1720C8—1221no—
1721C8—1221no—
1722C8—1221no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—1221no—
1739C22—1222no—
1740C22—1221no—
1741C22—1221no—
1742C22—9762no—
1743C22—9762no—
1744C22—9762no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22—2441no—
1752C22—2441no—
1753C22C22×D4×D6111yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—1221no—
1764C4—1221no—
1765C4—1221no—
1766C4—1221no—
1767C4—1221no—
1768C4—1221no—
1769C4—1221no—
1770C4—2441no—
1771C4—2441no—
1772C4—2441no—
1773C4—2441no—
1774C4—2441no—
1775C4H(5,𝔽2)×D6111yescharacteristic
1776C4#1684059811yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2—4881no—
1783C2—4881no—
1784C2—2441no—
1785C2—2442no—
1786C2#2145948211yescharacteristic
1787C2#2146059211yescharacteristic
1788C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3309C2
socleC22×C61C23×D4
hypercenter#3309D61
hypocenterC61#62024
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3309

Complements

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

NH ≅ G/Ntype
1. #21460178C2semidirect
2. #21459882C2semidirect
3. #21458899C2semidirect
4. #21458843C2semidirect
5. #21458644C2semidirect
6. #21458523C2semidirect
7. #21457916C2semidirect
8. #21457851C2semidirect
9. #21457838C2semidirect
10. #21457756C2semidirect
11. #21457663C2semidirect
12. #21457549C2semidirect
13. #21457502C2semidirect
14. #21457356C2semidirect
15. #21457349C2semidirect
16. #21457337C2semidirect
17. #21457306C2semidirect
18. #21457289C2semidirect
19. #21457251C2semidirect
20. #21457138C2semidirect
21. #21456911C2semidirect
22. #21456892C2semidirect
23. #21456854C2semidirect
24. #21456076C2semidirect
25. #21456007C2semidirect
26. #21455965C2semidirect
27. #21455357C2semidirect
28. #21455317C2semidirect
29. #21455272C2semidirect
30. #21454959C2semidirect
31. C61×#3309C2semidirect
33. C2×#14519801C22semidirect
34. C2×#14519799C22semidirect
35. C2×#14519797C22semidirect
36. C2×#14519797C22semidirect
40. #16840484C22semidirect
41. #16840482C22semidirect
42. #16840480C22semidirect
43. #16840468C22semidirect
50. #16840432C22semidirect
52. #16840417C22semidirect
55. #16840409C22semidirect
56. #16840408C22semidirect
61. #16840379C22semidirect
62. #16840379C22semidirect
63. #16840375C22semidirect
69. #16840326C22semidirect
72. #16840308C22semidirect
73. #16840307C22semidirect
75. #16840293C22semidirect
78. #16840243C22semidirect
79. #16840234C22semidirect
80. #16840230C22semidirect
81. #16840156C22semidirect
82. #16840153C22semidirect
84. #16840150C22semidirect
86. #16840134C22semidirect
87. #16840129C22semidirect
88. #16840125C22semidirect
89. #16840123C22semidirect
90. #16840119C22semidirect
91. #16840107C22semidirect
92. #16840101C22semidirect
93. #16840097C22semidirect
95. #16840086C22semidirect
96. #16840065C22semidirect
97. #16840064C22semidirect
98. #16840059C22semidirect
99. #16840056C22semidirect
100. #16840050C22semidirect
101. #16840050C22semidirect
102. #16840046C22semidirect
103. #16840046C22semidirect
104. #16840041C22semidirect
105. #16840020C22semidirect
106. #16840019C22semidirect
108. #16840002C22semidirect
111. #16839991C22semidirect
112. #16839989C22semidirect
113. #16839989C22semidirect
114. #16839989C22semidirect
115. #16839987C22semidirect
116. #16839987C22semidirect
117. #16839987C22semidirect
118. #16839983C22semidirect
119. #16839983C22semidirect
120. #16839983C22semidirect
122. #16839980C22semidirect
123. #16839979C22semidirect
127. #16839976C22semidirect
128. #16839975C22semidirect
129. #16839975C22semidirect
130. #16839975C22semidirect
131. #16839972C22semidirect
132. #16839971C22semidirect
133. #16839968C22semidirect
134. #16839966C22semidirect
135. #16839961C22semidirect
136. #16839961C22semidirect
137. #16839961C22semidirect
138. #16839961C22semidirect
141. #16839956C22semidirect
143. #16839954C22semidirect
144. #16839926C22semidirect
145. #16839926C22semidirect
146. #16839925C22semidirect
147. #16839925C22semidirect
148. #16839924C22semidirect
149. #16839924C22semidirect
150. #16839915C22semidirect
153. #16839911C22semidirect
156. #16839905C22semidirect
157. #16839905C22semidirect
160. #16839890C22semidirect
161. #16839889C22semidirect
162. #16839875C22semidirect
164. #16839871C22semidirect
165. #16839861C22semidirect
166. #16839861C22semidirect
167. #16839859C22semidirect
168. #16839859C22semidirect
169. #16839856C22semidirect
170. C4×#11758201C22semidirect
171. C4×#11758199C22semidirect
172. #16839842C22semidirect
173. #16839833C22semidirect
176. D4×#92418C22semidirect
177. #16839825C22semidirect
178. #16839824C22semidirect
179. #16839820C22semidirect
180. #16839816C22semidirect
181. #16839790C22semidirect
182. #16839787C22semidirect
183. C2×#14519706C22semidirect
185. #16839756C22semidirect
186. #16839755C22semidirect
187. C2×#14519697C22semidirect
188. C61×#553C22semidirect
189. C61×#550C22semidirect
190. C61×#490C22semidirect
191. C61×#482C22semidirect
192. C61×#480C22semidirect
193. C61×#479C22semidirect
195. C61×#466C22semidirect
196. C61×#459C22semidirect
197. C61×#449C22semidirect
198. C61×#449C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
202. C61×#416C22semidirect
892. #3309D61semidirect
940. #553C2×D61semidirect
947. #550C2×D61semidirect
985. #490C2×D61semidirect
993. #482C2×D61semidirect
994. #480C2×D61semidirect
995. #479C2×D61semidirect
1011. #466C2×D61semidirect
1046. #459C2×D61semidirect
1061. #449C2×D61semidirect
1062. #449C2×D61semidirect
1074. #440C2×D61semidirect
1082. #435C2×D61semidirect
1092. #417C2×D61semidirect
1095. #416C2×D61semidirect
1097. C61#62024semidirect

Maximal subgroups

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

subgroupindex
#214601782
#214598822
#214588992
#214588432
#214586442
#214585232
#214579162
#214578512
#214578382
#214577562
#214576632
#214575492
#214575022
#214573562
#214573492
#214573372
#214573062
#214572892
#214572512
#214571382
#214569112
#214568922
#214568542
#214560762
#214560072
#214559652
#214553572
#214553172
#214552722
#214549592
C61×#33092
#6202461