Finite Group Databasebeta

← #30563029

Subgroups — #30563029

Order 15616.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459926C211yesmaximal, characteristic, complemented
2#21459893C211yesmaximal, characteristic, complemented
3#21458884C211yesmaximal, characteristic, complemented
4#21458759C211yesmaximal, characteristic, complemented
5#21458509C211yesmaximal, characteristic, complemented
6#21458476C211yesmaximal, characteristic, complemented
7#21458374C211yesmaximal, characteristic, complemented
8#21458344C211yesmaximal, characteristic, complemented
9#21458318C211yesmaximal, characteristic, complemented
10#21457753C211yesmaximal, characteristic, complemented
11#21457746C211yesmaximal, characteristic, complemented
12#21457720C211yesmaximal, characteristic, complemented
13#21457701C211yesmaximal, characteristic, complemented
14#21457675C211yesmaximal, characteristic, complemented
15#21457660C211yesmaximal, characteristic, complemented
16#21457447C211yesmaximal, characteristic, complemented
17#21457373C211yesmaximal, characteristic, complemented
18#21457366C211yesmaximal, characteristic, complemented
19#21456498C211yesmaximal, characteristic, complemented
20#21456392C211yesmaximal, characteristic, complemented
21#21456052C211yesmaximal, characteristic, complemented
22#21456027C211yesmaximal, characteristic, complemented
23#21456016C211yesmaximal, characteristic, complemented
24#21455997C211yesmaximal, characteristic, complemented
25#21455934C211yesmaximal, characteristic, complemented
26#21455932C211yesmaximal, characteristic, complemented
27#21454790C211yesmaximal, characteristic, complemented
28#21454657C211yesmaximal, characteristic, complemented
29#21454653C211yesmaximal, characteristic, complemented
30C4×#14519798C211yesmaximal, characteristic, complemented
31C61×#3178C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519805C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35#16840494—21no—
36#16840494C2211yescharacteristic, complemented
37#16840487C2211yescharacteristic, complemented
38#16840486C2211yescharacteristic
39#16840483C2211yescharacteristic
40#16840478C2211yescharacteristic, complemented
41#16840474—21no—
42#16840468C2211yescharacteristic
43#16840465—21no—
44#16840465C2211yescharacteristic
45#16840464C2211yescharacteristic
46#16840463—21no—
47#16840454C2211yescharacteristic
48#16840448—21no—
49#16840446C2211yescharacteristic
50#16840444—21no—
51#16840437—21no—
52#16840437—21no—
53#16840430C2211yescharacteristic
54#16840422C2211yescharacteristic
55#16840420C2211yescharacteristic, complemented
56#16840415C2211yescharacteristic
57#16840403C2211yescharacteristic
58#16840403C2211yescharacteristic
59#16840384C2211yescharacteristic
60#16840382—21no—
61#16840364—21no—
62#16840363C2211yescharacteristic, complemented
63#16840360—21no—
64#16840351—21no—
65#16840299C2211yescharacteristic
66#16840299C2211yescharacteristic, complemented
67#16840298—21no—
68#16840297—21no—
69#16840290C2211yescharacteristic
70#16840289—21no—
71#126×D61—21no—
72#16840244C2211yescharacteristic
73#16840242C2211yescharacteristic
74#16840238C2211yescharacteristic, complemented
75#16840236C2211yescharacteristic
76C4×#11758226C2211yescharacteristic
77C4×#11758224C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840148C2211yescharacteristic
81#16840147C2211yescharacteristic
82#16840118C2211yescharacteristic
83#16840118C2211yescharacteristic
84#16840118C2211yescharacteristic, complemented
85#16840107C2211yescharacteristic, complemented
86#16840102C2211yescharacteristic, complemented
87#16840102C2211yescharacteristic, complemented
88#16840101C2211yescharacteristic, complemented
89#16840100C2211yescharacteristic
90#16840095C2211yescharacteristic
91#16840090C2211yescharacteristic
92#16840089C2211yescharacteristic
93#16840088C2211yescharacteristic
94#16840088C2211yescharacteristic, complemented
95#16840083C2211yescharacteristic
96#16840079C2211yescharacteristic, complemented
97#16840077C2211yescharacteristic, complemented
98#16840068C2211yescharacteristic, complemented
99#16840067C2211yescharacteristic, complemented
100#16840067C2211yescharacteristic, complemented
101#16840066C2211yescharacteristic, complemented
102#16840065C2211yescharacteristic
103#16840061C2211yescharacteristic
104#16840060C2211yescharacteristic, complemented
105#16840059C2211yescharacteristic, complemented
106#16840055C2211yescharacteristic, complemented
107#16840049C2211yescharacteristic
108#16840046C2211yescharacteristic, complemented
109#16840039C2211yescharacteristic
110#16840016C2211yescharacteristic
111#16840005C2211yescharacteristic, complemented
112#16840000C2211yescharacteristic, complemented
113#16839999C2211yescharacteristic
114#16839997C2211yescharacteristic
115#16839994C2211yescharacteristic
116#16839994C2211yescharacteristic, complemented
117#16839994C2211yescharacteristic, complemented
118#16839987C2211yescharacteristic
119#16839987C2211yescharacteristic
120#16839986C2211yescharacteristic
121#16839986C2211yescharacteristic, complemented
122#16839980C2211yescharacteristic
123#16839979C2211yescharacteristic
124#16839974C2211yescharacteristic
125#16839974C2211yescharacteristic
126#16839969C2211yescharacteristic, complemented
127#16839964C2211yescharacteristic, complemented
128#16839960C2211yescharacteristic, complemented
129#16839956C2211yescharacteristic
130#16839923C2211yescharacteristic
131#16839922C2211yescharacteristic
132#16839922C2211yescharacteristic
133#16839921C2211yescharacteristic, complemented
134#16839916C2211yescharacteristic, complemented
135#16839912C2211yescharacteristic
136#16839910C2211yescharacteristic
137#16839910C2211yescharacteristic
138#16839908C2211yescharacteristic
139#16839906C2211yescharacteristic
140#16839902C2211yescharacteristic
141#16839895C2211yescharacteristic
142#16839890C2211yescharacteristic, complemented
143C8×Dic122C2211yescharacteristic, complemented
144#16839875C2211yescharacteristic
145#16839875C2211yescharacteristic
146#16839872C2211yescharacteristic
147#16839869C2211yescharacteristic, complemented
148#16839867C2211yescharacteristic, complemented
149#16839864C2211yescharacteristic
150#16839864C2211yescharacteristic
151#16839861C2211yescharacteristic
152#16839860C2211yescharacteristic
153#16839860C2211yescharacteristic, complemented
154C4×#11758202C2211yescharacteristic, complemented
155#16839854C2211yescharacteristic, complemented
156#16839854C2211yescharacteristic, complemented
157C4×#11758190C2211yescharacteristic
158C4×#11758190C2211yescharacteristic
159SD16×Dic61C2211yescharacteristic, complemented
160C4×#11758201C2211yescharacteristic
161C4×#11758201C2211yescharacteristic, complemented
162#16839849C2211yescharacteristic
163#16839847C2211yescharacteristic
164C4×D488C2211yescharacteristic
165C4×D488C2211yescharacteristic
166C4×#11758199C2211yescharacteristic
167#16839842C2211yescharacteristic
168#16839838C2211yescharacteristic
169#16839835C2211yescharacteristic, complemented
170#16839831C2211yescharacteristic
171C8×D244C2211yescharacteristic, complemented
172C8×C22⋊D61C2211yescharacteristic
173C8×C22⋊D61C2211yescharacteristic
174#16839824C2211yescharacteristic, complemented
175#16839823C2211yescharacteristic
176#16839817C2211yescharacteristic, complemented
177#16839804C2211yescharacteristic
178#16839803C2211yescharacteristic, complemented
179#16839797C2211yescharacteristic, complemented
180#16839759C2211yescharacteristic
181#16839757C2211yescharacteristic
182#16839757C2211yescharacteristic
183#16839755C2211yescharacteristic, complemented
184#103×D61C2211yescharacteristic, complemented
185C2×#14519699C2211yescharacteristic
186#16839716C2211yescharacteristic, complemented
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#542C2211yescharacteristic
189C61×#541C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#497C2211yescharacteristic, complemented
192C61×#488C2211yescharacteristic, complemented
193C61×#487C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic
195C61×#468C2211yescharacteristic
196C61×#467C2211yescharacteristic
197C61×#465C2211yescharacteristic
198C61×#441C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C4×Q16×C61C2211yescharacteristic, complemented
201C4×SD16×C61C2211yescharacteristic, complemented
202C61×#405C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C22×D244C2311yescharacteristic
209#14519809—24no—
210#14519805—24no—
211#14519798—24no—
212C2×#11758202C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758201C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×#11758201C2311yescharacteristic
220C2×D488C2311yescharacteristic
221C2×D488C2311yescharacteristic
222C2×#11758199C2311yescharacteristic
223C2×#11758199C2311yescharacteristic
224C2×#11758189C2311yescharacteristic
225C2×C8×D61C2311yescharacteristic
226C2×C8×D61C2311yescharacteristic
227C2×C8×D61C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519775—21no—
230#14519773—21no—
231#14519773C2311yescharacteristic
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772D411yescharacteristic
240#14519771—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770D411yescharacteristic
245#14519768—21no—
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767D411yescharacteristic
253#14519766—21no—
254#14519766—21no—
255#14519766C2311yescharacteristic
256#14519766C2311yescharacteristic
257#14519766C2311yescharacteristic
258#14519765—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519763D411yescharacteristic
264#14519762—21no—
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519762—21no—
270#14519762—21no—
271#14519762—21no—
272#14519762D411yescharacteristic
273#14519761—21no—
274#14519761—21no—
275#14519761—21no—
276#14519760—21no—
277#14519759—21no—
278#14519759—21no—
279#14519759—21no—
280#14519759D411yescharacteristic
281#14519757—21no—
282#14519757—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755D411yescharacteristic
288#14519754—21no—
289#14519753C2311yescharacteristic
290#14519753C2311yescharacteristic
291#14519753C2311yescharacteristic
292#14519752—21no—
293#14519752—21no—
294#14519752—21no—
295#14519752—21no—
296#14519752—21no—
297#14519752C2311yescharacteristic
298#14519752C2311yescharacteristic
299#14519752C2311yescharacteristic
300#14519752C2311yescharacteristic
301#14519751—21no—
302#14519750—21no—
303#14519750—21no—
304#14519750—21no—
305#14519750—21no—
306#14519750D411yescharacteristic
307#14519749—21no—
308#14519749—21no—
309#14519748C2311yescharacteristic
310#14519747—21no—
311#14519747—21no—
312Q8×Dic61—21no—
313Q8×Dic61C2311yescharacteristic
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316C4×Dic122—21no—
317C4×Dic122C2311yescharacteristic
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320#14519742—21no—
321#14519742—21no—
322#14519742C2311yescharacteristic
323#14519742C2311yescharacteristic
324C4×D244—21no—
325C4×D244—21no—
326C4×D244—21no—
327C4×D244—21no—
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330C4×D244C2311yescharacteristic
331C4×D244C2311yescharacteristic
332C4×D244C2311yescharacteristic
333C4×D244C2311yescharacteristic
334C4×D244C2311yescharacteristic
335D4×Dic61—21no—
336D4×Dic61C2311yescharacteristic
337#14519739—21no—
338#14519739—21no—
339#14519739—21no—
340#14519739—21no—
341#14519739—21no—
342#14519739—21no—
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345C4×C22⋊D61—21no—
346C4×C22⋊D61C2311yescharacteristic
347C4×C22⋊D61C2311yescharacteristic
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519736C2311yescharacteristic
355#14519735—21no—
356#14519735—21no—
357#14519735—21no—
358#14519735—21no—
359#14519735—21no—
360#14519735—21no—
361#14519735C2311yescharacteristic
362#14519735C2311yescharacteristic
363#14519735C2311yescharacteristic
364#14519734—21no—
365#14519734—21no—
366#14519734—21no—
367#14519734—21no—
368#14519734C2311yescharacteristic
369#14519733—21no—
370#14519733—21no—
371C2×C4⋊Dic61C2311yescharacteristic
372C4⋊C4×D61—21no—
373C4⋊C4×D61—21no—
374C4⋊C4×D61—21no—
375C4⋊C4×D61—21no—
376C4⋊C4×D61C2311yescharacteristic
377C22⋊C4×D61—21no—
378C22⋊C4×D61—21no—
379C22⋊C4×D61—21no—
380C22⋊C4×D61—21no—
381C2×C4×Dic61—21no—
382C42×D61—21no—
383C42×D61C2311yescharacteristic
384#14519711C2311yescharacteristic
385#14519711C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519688C2311yescharacteristic
433#14519687C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×Q16×C61C2311yescharacteristic
439C2×Q16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×M16×C61C2311yescharacteristic
443C22×C8×C61C2311yescharacteristic
444C4⋊Q8×C61C2311yescharacteristic
445C4⋊Q8×C61C2311yescharacteristic
446#126×C61—21no—
447#126×C61—21no—
448#126×C61—21no—
449#125×C61—21no—
450#125×C61—21no—
451#125×C61C2311yescharacteristic
452#124×C61—21no—
453#124×C61C2311yescharacteristic
454#123×C61—21no—
455C22⋊Q8×C61—21no—
456C22⋊Q8×C61C2311yescharacteristic
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459#121×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×Q8×C61C2311yescharacteristic
462C4×Q8×C61C2311yescharacteristic
463C4×D4×C61C2311yescharacteristic
464#117×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479C4×C8×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C23×D61—21no—
482C2×Q8×C61—21no—
483C2×Q8×C61C2411yescharacteristic
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×D4×C61—21no—
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61C2411yescharacteristic
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61C2×D411yescharacteristic
496C2×C22⋊D61C2×D411yescharacteristic
497C22×Dic61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500#11758226—22no—
501#11758226—22no—
502#11758226—41no—
503#11758226—41no—
504Q8×D61—22no—
505Q8×D61—41no—
506#11758224—22no—
507#11758224—41no—
508#11758222—22no—
509#11758222—41no—
510C2×D244—22no—
511C2×D244—21no—
512C2×D244—21no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244—41no—
519C2×D244C2×D411yescharacteristic
520C2×D244C2411yescharacteristic
521C2×D244C2411yescharacteristic
522C2×D244C2411yescharacteristic
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122C2×D411yescharacteristic
543C2×Dic122C2411yescharacteristic
544Q16×C61—22no—
545Q16×C61—41no—
546SD16×C61—22no—
547SD16×C61—41no—
548M16×C61—22no—
549C2×C8×C61—41no—
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61C2×D411yescharacteristic
566C4⋊C4×C61C2×D411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
579C22⋊C4×C61C2×D411yescharacteristic
580C42×C61—21no—
581C42×C61—21no—
582C42×C61—21no—
583C42×C61C2411yescharacteristic
584C42×C61C2411yescharacteristic
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61C2×D411yescharacteristic
589C22⋊Dic61C2×D411yescharacteristic
590#11758202—22no—
591#11758202—22no—
592#11758201—22no—
593#11758201—41no—
594#11758201—41no—
595#11758201—41no—
596#11758199—22no—
597#11758199—41no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198C2×D411yescharacteristic
623#11758198C2×D411yescharacteristic
624#11758198C2×D411yescharacteristic
625#11758198C2×D411yescharacteristic
626#11758198C2×D411yescharacteristic
627#11758198C2×D411yescharacteristic
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61—21no—
634C4⋊Dic61—21no—
635C4⋊Dic61C2×D411yescharacteristic
636C4⋊Dic61C2×D411yescharacteristic
637C4⋊Dic61C2411yescharacteristic
638C4⋊Dic61C2411yescharacteristic
639C4⋊Dic61C2411yescharacteristic
640C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
654#11758196C2×D411yescharacteristic
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61C2×D411yescharacteristic
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2411yescharacteristic
673C4×Dic61C2411yescharacteristic
674C2×#92418C2411yescharacteristic
675C2×#92418C2411yescharacteristic
676C2×#92418C2411yescharacteristic
677C2×#92418C2411yescharacteristic
678D488—22no—
679D488—22no—
680#11758190—22no—
681#11758190#4114yes—
682#11758189—22no—
683C8×D61—22no—
684C8×D61—41no—
685C8×D61—41no—
686C23×C61—21no—
687C23×C61C22×D411yescharacteristic
688C22×D61—21no—
689C22×D61—21no—
690C22×D61—21no—
691C22×D61—42no—
692C22×D61—81no—
693C22×D61—81no—
694C22×D61C22×D411yescharacteristic
695C22×D61C22×D411yescharacteristic
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—21no—
702Q8×C61—81no—
703D4×C61—21no—
704D4×C61—21no—
705D4×C61—81no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—81no—
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C2511yescharacteristic
722C22⋊D61—41no—
723C22⋊D61—41no—
724C22⋊D61—42no—
725C22⋊D61—42no—
726C22⋊D61—81no—
727C22⋊D61—81no—
728C22⋊D61—81no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—42no—
735C2×Dic61—81no—
736C2×Dic61—81no—
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742C2×Dic61C22×D411yescharacteristic
743D244—21no—
744D244—21no—
745D244—21no—
746D244—21no—
747D244—21no—
748D244—41no—
749D244—42no—
750D244—42no—
751D244—42no—
752D244—81no—
753D244—81no—
754D244—81no—
755D244—81no—
756D244C2×#4112yes—
757C4×D61—21no—
758C4×D61—21no—
759C4×D61—21no—
760C4×D61—21no—
761C4×D61—41no—
762C4×D61—41no—
763C4×D61—42no—
764C4×D61—42no—
765C4×D61—42no—
766C4×D61—42no—
767C4×D61—81no—
768C4×D61—81no—
769C4×D61—81no—
770C4×D61—81no—
771C4×D61—81no—
772C4×D61—81no—
773C4×D61—81no—
774C4×D61—81no—
775C4×D61—81no—
776Dic122—21no—
777Dic122—41no—
778Dic122—42no—
779Dic122—81no—
780Dic122C2×#4112yes—
781C8×C61—21no—
782C8×C61—21no—
783C8×C61—21no—
784C8×C61C2×#4112yes—
785#92418—21no—
786#92418—21no—
787#92418—21no—
788#92418—21no—
789#61500—611nomaximal, Sylow
790C22×C61—21no—
791C22×C61—21no—
792C22×C61—21no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61C23×D411yescharacteristic
797C2×D61—21no—
798C2×D61—21no—
799C2×D61—21no—
800C2×D61—21no—
801C2×D61—21no—
802C2×D61—21no—
803C2×D61—22no—
804C2×D61—41no—
805C2×D61—41no—
806C2×D61—41no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—162no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—21no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61—41no—
823C4×C61—41no—
824C4×C61—41no—
825C4×C61C22×#4111yescharacteristic
826C4×C61#58511yescharacteristic
827Dic61—21no—
828Dic61—21no—
829Dic61—21no—
830Dic61—21no—
831Dic61—22no—
832Dic61—21no—
833Dic61—21no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61—41no—
838#3524—611no—
839#3521—611no—
840#3401—611no—
841#3388—611no—
842#3364—611no—
843#3361—611no—
844#3351—611no—
845#3349—611no—
846#3347—611no—
847#3304—611no—
848#3303—611no—
849#3301—611no—
850#3300—611no—
851#3297—611no—
852#3296—611no—
853#3275—611no—
854#3269—611no—
855#3268—611no—
856#3179—611no—
857#3178D6111yescharacteristic, complemented
858#3168—611no—
859#3121—611no—
860#3120—611no—
861#3119—611no—
862#3118—611no—
863#3111—611no—
864#3111—611no—
865#2966—611no—
866#2947—611no—
867#2946—611no—
868C4×#135—611no—
869C2×C61—41no—
870C2×C61—81no—
871C2×C61D4×#4111yescharacteristic
872C2×C61#358411yescharacteristic
873C2×C61#358411yescharacteristic
874D61—41no—
875D61—41no—
876D61—42no—
877D61—81no—
878D61—81no—
879C2×#137—611no—
880C2×AGL(1,ℤ/8)—611no—
881C2×#135—611no—
882#559—611no—
883#559—1221no—
884#557—611no—
885#556—611no—
886#556—611no—
887#555—611no—
888#555—1221no—
889#554—611no—
890#553—611no—
891#553—611no—
892#553—1221no—
893#553—1221no—
894#552—611no—
895#552—611no—
896#552—1221no—
897#552—1221no—
898#551—1221no—
899#551—1221no—
900#550—611no—
901#548—611no—
902#548—611no—
903#547—611no—
904#546—611no—
905#546—611no—
906#542—611no—
907#542—1221no—
908#542C2×D6111yescharacteristic
909#541C2×D6111yescharacteristic
910#540—611no—
911#540—1221no—
912#539—1221no—
913#538—1221no—
914#529—611no—
915#529—611no—
916#529—611no—
917#529—1221no—
918#529—1221no—
919#529—1221no—
920C2×#126—1221no—
921#520—611no—
922#520—611no—
923#519—611no—
924#518—611no—
925C4×#41—611no—
926C4×#41—611no—
927#501—611no—
928#501C2×D6111yescharacteristic, complemented
929#499—611no—
930#497C2×D6111yescharacteristic, complemented
931#496—611no—
932#495—611no—
933#488—611no—
934#488—611no—
935#488—611no—
936#488C2×D6111yescharacteristic, complemented
937#487C2×D6111yescharacteristic, complemented
938#486—611no—
939#485—611no—
940#485—611no—
941#485—611no—
942#485—611no—
943#484—611no—
944#483—611no—
945#482—611no—
946#482—611no—
947#482—611no—
948#482—611no—
949#481—611no—
950#480—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#479—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#477—611no—
960#476—611no—
961#475—611no—
962#474—611no—
963#470C2×D6111yescharacteristic
964#469—611no—
965#468—611no—
966#468C2×D6111yescharacteristic
967#467—611no—
968#467C2×D6111yescharacteristic
969#466—611no—
970#466—611no—
971#465—611no—
972#465—611no—
973#465—611no—
974#465C2×D6111yescharacteristic
975#464—611no—
976#464—611no—
977#464—611no—
978#464—611no—
979#463—611no—
980#463—611no—
981#463—611no—
982#463—611no—
983#462—611no—
984#461—611no—
985#460—611no—
986#459—611no—
987#452—611no—
988#452—611no—
989#452—611no—
990#452—611no—
991#451—611no—
992#450—611no—
993#449—611no—
994#449—611no—
995#449—611no—
996#449—611no—
997#448—611no—
998#447—611no—
999#446—611no—
1000C8×Q8—611no—
1001#442—611no—
1002#442—611no—
1003#442—611no—
1004#441—611no—
1005#441—611no—
1006#441C2×D6111yescharacteristic, complemented
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440C2×D6111yescharacteristic, complemented
1013C4×Q16—611no—
1014C4×Q16—611no—
1015C4×Q16—611no—
1016C4×Q16C2×D6111yescharacteristic, complemented
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16C2×D6111yescharacteristic, complemented
1025C4×D8—611no—
1026C4×D8—611no—
1027C4×D8—611no—
1028C4×D8—611no—
1029#436—611no—
1030#435—611no—
1031#435—611no—
1032C8×D4—611no—
1033C8×D4—611no—
1034C8×D4—611no—
1035#433—611no—
1036#433—611no—
1037#432—611no—
1038#428—611no—
1039#428—611no—
1040#427—611no—
1041#416—611no—
1042#416—611no—
1043#416—611no—
1044#416—611no—
1045C2×#103—611no—
1046C2×#102—611no—
1047#405—611no—
1048#405C2×D6111yescharacteristic
1049C2×C4×C8—611no—
1050C61#6150011yescharacteristic, complemented, Sylow
1051C2×#41—611no—
1052C2×#41—611no—
1053C2×#41—611no—
1054C2×#41—611no—
1055C22×Q8—611no—
1056C22×D4—611no—
1057#137—1224no—
1058AGL(1,ℤ/8)—1224no—
1059#135—1224no—
1060C2×Q16—611no—
1061C2×Q16—611no—
1062C2×Q16C22×D6111yescharacteristic
1063C2×Q16C22×D6111yescharacteristic
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16C22×D6111yescharacteristic
1071C2×SD16C22×D6111yescharacteristic
1072C2×D8—611no—
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8—611no—
1076C2×M16—611no—
1077C2×M16C22×D6111yescharacteristic
1078C22×C8—611no—
1079C22×C8—611no—
1080C22×C8—611no—
1081C22×C8C22×D6111yescharacteristic
1082C4⋊Q8—611no—
1083C4⋊Q8—1221no—
1084C4⋊Q8C22×D6111yescharacteristic
1085C4⋊Q8C22×D6111yescharacteristic
1086#127—611no—
1087#127—1221no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—611no—
1092#126—611no—
1093#126—1221no—
1094#126—1221no—
1095#126—1221no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#126—1221no—
1104#125—21no—
1105#125—21no—
1106#125—611no—
1107#125—611no—
1108#125—611no—
1109#125—611no—
1110#125—1221no—
1111#125—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125C22×D6111yescharacteristic
1115#124—21no—
1116#124—611no—
1117#124—611no—
1118#124—611no—
1119#124—611no—
1120#124—1221no—
1121#124—1221no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124—1221no—
1126#124—1221no—
1127#124C22×D6111yescharacteristic
1128#123—21no—
1129#123—611no—
1130#123—611no—
1131#123—1221no—
1132#123—1221no—
1133#123—1221no—
1134#123—1221no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144#123—1221no—
1145#123—1221no—
1146C22⋊Q8—21no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—611no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8C22×D6111yescharacteristic
1159C22⋊Q8C22×D6111yescharacteristic
1160C22⋊Q8C22×D6111yescharacteristic
1161#121—611no—
1162#121—611no—
1163#121—611no—
1164#121—611no—
1165#121—611no—
1166#121—611no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#121—1221no—
1175#121—1221no—
1176#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121C22×D6111yescharacteristic
1180#120—1221no—
1181#120—1221no—
1182C4×Q8—611no—
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—611no—
1190C4×Q8—1221no—
1191C4×Q8—1221no—
1192C4×Q8—1221no—
1193C4×Q8—1221no—
1194C4×Q8C22×D6111yescharacteristic
1195C4×Q8C22×D6111yescharacteristic
1196C4×Q8C22×D6111yescharacteristic
1197C4×D4—611no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—611no—
1208C4×D4—611no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4C22×D6111yescharacteristic
1228#117—611no—
1229#117—611no—
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—1221no—
1234#117—1221no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117C22×D6111yescharacteristic
1246C2×C4⋊C4—611no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—1221no—
1249C2×C4⋊C4—1221no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4—1221no—
1252C2×C22⋊C4—1221no—
1253C2×C22⋊C4—1221no—
1254C2×C22⋊C4—1221no—
1255C2×C22⋊C4—1221no—
1256C2×C42—611no—
1257C2×C42—1221no—
1258C2×C42—1221no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107C22×D6111yescharacteristic
1266#107C22×D6111yescharacteristic
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106C22×D6111yescharacteristic
1274#106C22×D6111yescharacteristic
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—611no—
1279C4⋊C8—611no—
1280C4⋊C8—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103C22×D6111yescharacteristic
1292#103C22×D6111yescharacteristic
1293#103C22×D6111yescharacteristic
1294#103C22×D6111yescharacteristic
1295#103C22×D6111yescharacteristic
1296#103C22×D6111yescharacteristic
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—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102C22×D6111yescharacteristic
1312#102C22×D6111yescharacteristic
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8—611no—
1317C22⋊C8—611no—
1318C22⋊C8—611no—
1319#97—611no—
1320#97—611no—
1321#97C22×D6111yescharacteristic
1322#97C22×D6111yescharacteristic
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8C22×D6111yescharacteristic
1328C4×C8C22×D6111yescharacteristic
1329C24—1221no—
1330#41—1222no—
1331#41—1222no—
1332#41—1222no—
1333#41—1222no—
1334#41—2441no—
1335#41—2441no—
1336#41—2441no—
1337#41—2441no—
1338C2×Q8—21no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—1221no—
1342C2×Q8—1221no—
1343C2×Q8—1222no—
1344C2×Q8—2441no—
1345C2×Q8C23×D6111yescharacteristic
1346C2×Q8C23×D6111yescharacteristic
1347C2×Q8C23×D6111yescharacteristic
1348C2×D4—21no—
1349C2×D4—611no—
1350C2×D4—611no—
1351C2×D4—611no—
1352C2×D4—611no—
1353C2×D4—611no—
1354C2×D4—611no—
1355C2×D4—1222no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—1221no—
1360C2×D4—1221no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—2441no—
1369C2×D4C23×D6111yescharacteristic
1370C22×C4—21no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—611no—
1374C22×C4—611no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4—1221no—
1391C22×C4C23×D6111yescharacteristic
1392Q16—22no—
1393Q16—41no—
1394Q16—1222no—
1395Q16—1222no—
1396SD16—22no—
1397SD16—41no—
1398SD16—614no—
1399SD16—1222no—
1400SD16—1222no—
1401SD16—2441no—
1402SD16—2441no—
1403SD16—2441no—
1404D8—1222no—
1405D8—1222no—
1406D8—1222no—
1407D8—2441no—
1408M16—22no—
1409M16—1222no—
1410C2×C8—41no—
1411C2×C8—611no—
1412C2×C8—611no—
1413C2×C8—611no—
1414C2×C8—611no—
1415C2×C8—1222no—
1416C2×C8—2441no—
1417C2×C8—2441no—
1418C2×C8C23×D6111yescharacteristic
1419C2×C8C23×D6111yescharacteristic
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—611no—
1443C4⋊C4—611no—
1444C4⋊C4—611no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4D4×D6111yescharacteristic
1465C4⋊C4D4×D6111yescharacteristic
1466C4⋊C4C23×D6111yescharacteristic
1467C4⋊C4C23×D6111yescharacteristic
1468C4⋊C4C23×D6111yescharacteristic
1469C4⋊C4C23×D6111yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—611no—
1478C22⋊C4—611no—
1479C22⋊C4—611no—
1480C22⋊C4—611no—
1481C22⋊C4—611no—
1482C22⋊C4—611no—
1483C22⋊C4—611no—
1484C22⋊C4—611no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4D4×D6111yescharacteristic
1513C22⋊C4D4×D6111yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—611no—
1518C42—611no—
1519C42—611no—
1520C42—611no—
1521C42—1221no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42C23×D6111yescharacteristic
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—611no—
1536C23—611no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—4881no—
1541C23—4881no—
1542C23—2442no—
1543C23C2×D4×D6111yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—81no—
1551Q8—612no—
1552Q8—1221no—
1553Q8—4881no—
1554Q8—2441no—
1555Q8—2442no—
1556D4—21no—
1557D4—21no—
1558D4—81no—
1559D4—612no—
1560D4—1221no—
1561D4—1221no—
1562D4—1221no—
1563D4—1221no—
1564D4—1221no—
1565D4—4881no—
1566D4—4881no—
1567D4—4881no—
1568D4—4881no—
1569D4—4881no—
1570D4—4881no—
1571D4—4881no—
1572D4—2441no—
1573D4—2442no—
1574D4—2442no—
1575D4—2442no—
1576D4—2441no—
1577D4—2441no—
1578D4—2442no—
1579D4—2442no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—81no—
1590C2×C4—611no—
1591C2×C4—611no—
1592C2×C4—611no—
1593C2×C4—611no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—1221no—
1597C2×C4—1221no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—4881no—
1606C2×C4—4881no—
1607C2×C4—4881no—
1608C2×C4—4881no—
1609C2×C4—4881no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—4881no—
1616C2×C4—2441no—
1617C2×C4—2441no—
1618C2×C4—2442no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4—2442no—
1622C2×C4—2442no—
1623C2×C4C2×D4×D6111yescharacteristic
1624C2×C4C2×D4×D6111yescharacteristic
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C24×D6111yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—1221no—
1633C8—1221no—
1634C8—1221no—
1635C8—1221no—
1636C8#41×D6112yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—1221no—
1644C22—1221no—
1645C22—1222no—
1646C22—1221no—
1647C22—1221no—
1648C22—1221no—
1649C22—1221no—
1650C22—9762no—
1651C22—2441no—
1652C22—2441no—
1653C22—2441no—
1654C22—2441no—
1655C22—2441no—
1656C22—2441no—
1657C22—2441no—
1658C22—2441no—
1659C22C22×D4×D6111yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—1221no—
1673C4—1221no—
1674C4—1222no—
1675C4—1221no—
1676C4—1221no—
1677C4—1221no—
1678C4—1221no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4—2441no—
1683C4C2×#41×D6111yescharacteristic
1684C4#1684059811yescharacteristic
1685C2—41no—
1686C2—81no—
1687C2—4881no—
1688C2—4881no—
1689C2—2441no—
1690C2—2441no—
1691C2—2442no—
1692C2#2145930511yescharacteristic
1693C2#2146058911yescharacteristic
1694C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3178C2
socleC22×C61C23×D4
hypercenter#3178D61
hypocenterC61#61500
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3178

Complements

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

NH ≅ G/Ntype
1. #21459926C2semidirect
2. #21459893C2semidirect
3. #21458884C2semidirect
4. #21458759C2semidirect
5. #21458509C2semidirect
6. #21458476C2semidirect
7. #21458374C2semidirect
8. #21458344C2semidirect
9. #21458318C2semidirect
10. #21457753C2semidirect
11. #21457746C2semidirect
12. #21457720C2semidirect
13. #21457701C2semidirect
14. #21457675C2semidirect
15. #21457660C2semidirect
16. #21457447C2semidirect
17. #21457373C2semidirect
18. #21457366C2semidirect
19. #21456498C2semidirect
20. #21456392C2semidirect
21. #21456052C2semidirect
22. #21456027C2semidirect
23. #21456016C2semidirect
24. #21455997C2semidirect
25. #21455934C2semidirect
26. #21455932C2semidirect
27. #21454790C2semidirect
28. #21454657C2semidirect
29. #21454653C2semidirect
30. C4×#14519798C2semidirect
31. C61×#3178C2semidirect
36. #16840494C22semidirect
37. #16840487C22semidirect
40. #16840478C22semidirect
55. #16840420C22semidirect
62. #16840363C22semidirect
66. #16840299C22semidirect
74. #16840238C22semidirect
77. C4×#11758224C22semidirect
78. #16840169C22semidirect
79. #16840163C22semidirect
84. #16840118C22semidirect
85. #16840107C22semidirect
86. #16840102C22semidirect
87. #16840102C22semidirect
88. #16840101C22semidirect
94. #16840088C22semidirect
96. #16840079C22semidirect
97. #16840077C22semidirect
98. #16840068C22semidirect
99. #16840067C22semidirect
100. #16840067C22semidirect
101. #16840066C22semidirect
104. #16840060C22semidirect
105. #16840059C22semidirect
106. #16840055C22semidirect
108. #16840046C22semidirect
111. #16840005C22semidirect
112. #16840000C22semidirect
116. #16839994C22semidirect
117. #16839994C22semidirect
121. #16839986C22semidirect
126. #16839969C22semidirect
127. #16839964C22semidirect
128. #16839960C22semidirect
133. #16839921C22semidirect
134. #16839916C22semidirect
142. #16839890C22semidirect
143. C8×Dic122C22semidirect
147. #16839869C22semidirect
148. #16839867C22semidirect
153. #16839860C22semidirect
154. C4×#11758202C22semidirect
155. #16839854C22semidirect
156. #16839854C22semidirect
159. SD16×Dic61C22semidirect
161. C4×#11758201C22semidirect
169. #16839835C22semidirect
171. C8×D244C22semidirect
174. #16839824C22semidirect
176. #16839817C22semidirect
178. #16839803C22semidirect
179. #16839797C22semidirect
183. #16839755C22semidirect
184. #103×D61C22semidirect
186. #16839716C22semidirect
187. C4×C8×D61C22semidirect
190. C61×#501C22semidirect
191. C61×#497C22semidirect
192. C61×#488C22semidirect
193. C61×#487C22semidirect
198. C61×#441C22semidirect
199. C61×#440C22semidirect
200. C4×Q16×C61C22semidirect
201. C4×SD16×C61C22semidirect
857. #3178D61semidirect
928. #501C2×D61semidirect
930. #497C2×D61semidirect
936. #488C2×D61semidirect
937. #487C2×D61semidirect
1006. #441C2×D61semidirect
1012. #440C2×D61semidirect
1016. C4×Q16C2×D61semidirect
1024. C4×SD16C2×D61semidirect
1050. C61#61500semidirect

Maximal subgroups

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

subgroupindex
#214599262
#214598932
#214588842
#214587592
#214585092
#214584762
#214583742
#214583442
#214583182
#214577532
#214577462
#214577202
#214577012
#214576752
#214576602
#214574472
#214573732
#214573662
#214564982
#214563922
#214560522
#214560272
#214560162
#214559972
#214559342
#214559322
#214547902
#214546572
#214546532
C4×#145197982
C61×#31782
#6150061