Finite Group Databasebeta

← #30575883

Subgroups — #30575883

Order 15616.

1772 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459727C211yesmaximal, characteristic, complemented
2#21459385C211yesmaximal, characteristic, complemented
3#21458773C211yesmaximal, characteristic, complemented
4#21458648C211yesmaximal, characteristic, complemented
5#21458646C211yesmaximal, characteristic, complemented
6#21458386C211yesmaximal, characteristic, complemented
7#21458378C211yesmaximal, characteristic, complemented
8#21458333C211yesmaximal, characteristic, complemented
9#21458331C211yesmaximal, characteristic, complemented
10#21458326C211yesmaximal, characteristic, complemented
11#21458318C211yesmaximal, characteristic, complemented
12#21458025C211yesmaximal, characteristic, complemented
13#21458017C211yesmaximal, characteristic, complemented
14#21457980C211yesmaximal, characteristic, complemented
15#21457972C211yesmaximal, characteristic, complemented
16#21457800C211yesmaximal, characteristic, complemented
17#21457792C211yesmaximal, characteristic, complemented
18#21457208C211yesmaximal, characteristic, complemented
19#21457180C211yesmaximal, characteristic, complemented
20#21457144C211yesmaximal, characteristic, complemented
21#21457041C211yesmaximal, characteristic, complemented
22#21457034C211yesmaximal, characteristic, complemented
23#21456999C211yesmaximal, characteristic, complemented
24#21455966C211yesmaximal, characteristic, complemented
25#21455908C211yesmaximal, characteristic, complemented
26#21455875C211yesmaximal, characteristic, complemented
27#21455627C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29#21455604C211yesmaximal, characteristic, complemented
30#21454935C211yesmaximal, characteristic, complemented
31C61×#3389C211yesmaximal, characteristic, complemented
32#16840485C2211yescharacteristic
33#16840483—21no—
34#16840478C2211yescharacteristic
35#16840478C2211yescharacteristic
36#16840477C2211yescharacteristic
37#16840472C2211yescharacteristic, complemented
38#16840465C2211yescharacteristic
39#16840465C2211yescharacteristic, complemented
40#16840462C2211yescharacteristic
41#16840462C2211yescharacteristic, complemented
42#16840460—21no—
43#16840454—21no—
44#16840450C2211yescharacteristic
45#16840450C2211yescharacteristic
46#16840439—21no—
47#16840439—21no—
48#16840422—21no—
49#16840422—21no—
50#16840416C2211yescharacteristic
51#16840413—21no—
52#16840407C2211yescharacteristic
53#16840407C2211yescharacteristic
54#16840382—21no—
55#16840382—21no—
56#16840342—21no—
57#16840318C2211yescharacteristic
58#16840318C2211yescharacteristic, complemented
59#16840317C2211yescharacteristic
60#16840309C2211yescharacteristic
61#16840309C2211yescharacteristic, complemented
62#16840309C2211yescharacteristic, complemented
63C4⋊Q8×D61C2211yescharacteristic, complemented
64#16840298—21no—
65#16840298—21no—
66#16840297C2211yescharacteristic
67#16840297C2211yescharacteristic
68#16840275—21no—
69#16840243—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C4×#11758224C2211yescharacteristic
73C4×D4×D61C2211yescharacteristic
74C2×#14519735—21no—
75#16840172C2211yescharacteristic, complemented
76#16840168C2211yescharacteristic, complemented
77#16840161C2211yescharacteristic, complemented
78#16840132C2211yescharacteristic, complemented
79#16840131C2211yescharacteristic, complemented
80#16840124C2211yescharacteristic
81#16840122C2211yescharacteristic
82#16840119C2211yescharacteristic
83#16840117C2211yescharacteristic
84#16840106C2211yescharacteristic
85#16840106C2211yescharacteristic
86#16840106C2211yescharacteristic, complemented
87#16840105C2211yescharacteristic
88#16840105C2211yescharacteristic
89#16840105C2211yescharacteristic, complemented
90#16840094C2211yescharacteristic, complemented
91#16840094C2211yescharacteristic, complemented
92#16840089C2211yescharacteristic
93#16840089C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic
95#16840088C2211yescharacteristic, complemented
96#16840085C2211yescharacteristic, complemented
97#16840084C2211yescharacteristic, complemented
98#16840082C2211yescharacteristic
99#16840079C2211yescharacteristic
100#16840077C2211yescharacteristic
101#16840077C2211yescharacteristic
102#16840070C2211yescharacteristic, complemented
103#16840066C2211yescharacteristic, complemented
104#16840063C2211yescharacteristic
105#16840062C2211yescharacteristic
106#16840062C2211yescharacteristic
107#16840059C2211yescharacteristic
108#16840059C2211yescharacteristic, complemented
109#16840059C2211yescharacteristic, complemented
110#16840056C2211yescharacteristic, complemented
111#16840056C2211yescharacteristic, complemented
112#16840056C2211yescharacteristic, complemented
113#16840056C2211yescharacteristic, complemented
114#16840051C2211yescharacteristic
115#16840051C2211yescharacteristic
116#16840050C2211yescharacteristic
117#16840050C2211yescharacteristic
118#16840048C2211yescharacteristic, complemented
119#16840046C2211yescharacteristic, complemented
120#16840046C2211yescharacteristic, complemented
121#16840044C2211yescharacteristic, complemented
122#16840042C2211yescharacteristic
123#16840041C2211yescharacteristic
124#16840040C2211yescharacteristic
125#16840039C2211yescharacteristic, complemented
126#16840016C2211yescharacteristic
127#16840014C2211yescharacteristic
128#16840009C2211yescharacteristic
129#16840009C2211yescharacteristic
130#16840009C2211yescharacteristic, complemented
131#16840007C2211yescharacteristic
132#16840007C2211yescharacteristic
133#16840007C2211yescharacteristic, complemented
134#16839999C2211yescharacteristic
135#16839997C2211yescharacteristic
136#16839992C2211yescharacteristic, complemented
137#16839990C2211yescharacteristic, complemented
138#16839978C2211yescharacteristic
139#16839978C2211yescharacteristic
140#16839977C2211yescharacteristic
141#16839977C2211yescharacteristic
142#16839968C2211yescharacteristic, complemented
143#16839967C2211yescharacteristic, complemented
144#16839961C2211yescharacteristic, complemented
145#16839961C2211yescharacteristic, complemented
146#16839956C2211yescharacteristic
147#16839955C2211yescharacteristic
148#16839908C2211yescharacteristic
149#16839908C2211yescharacteristic
150#16839904C2211yescharacteristic
151#16839904C2211yescharacteristic
152#16839897C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839875C2211yescharacteristic
156#16839872C2211yescharacteristic
157#16839872C2211yescharacteristic
158#16839872C2211yescharacteristic
159#16839864C2211yescharacteristic, complemented
160#16839862C2211yescharacteristic, complemented
161C4×#11758190C2211yescharacteristic, complemented
162C4×#11758200C2211yescharacteristic, complemented
163C4×#11758199C2211yescharacteristic
164#16839841C2211yescharacteristic
165#16839839C2211yescharacteristic
166#16839835C2211yescharacteristic
167#16839835C2211yescharacteristic, complemented
168#16839832C2211yescharacteristic
169#16839832C2211yescharacteristic, complemented
170#16839817C2211yescharacteristic
171#16839817C2211yescharacteristic, complemented
172#16839813C2211yescharacteristic, complemented
173#16839803C2211yescharacteristic
174#16839803C2211yescharacteristic, complemented
175#16839803C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic
177#16839799C2211yescharacteristic, complemented
178#16839797C2211yescharacteristic, complemented
179#16839784C2211yescharacteristic
180#16839784C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839760C2211yescharacteristic
185#16839760C2211yescharacteristic
186#16839755C2211yescharacteristic
187#16839755C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#554C2211yescharacteristic, complemented
190C61×#501C2211yescharacteristic, complemented
191C61×#501C2211yescharacteristic, complemented
192C61×#499C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#478C2211yescharacteristic, complemented
196C61×#478C2211yescharacteristic, complemented
197C61×#474C2211yescharacteristic
198C61×#474C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic
201C61×#442C2211yescharacteristic
202C4×D8×C61C2211yescharacteristic
203C2×#11758226D411yescharacteristic
204C2×#11758222—21no—
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758224C2311yescharacteristic
208C2×#11758224C2311yescharacteristic
209C2×Q8×D61—21no—
210C2×D4×D61C2311yescharacteristic
211C22×C4×D61—21no—
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×D488C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218C2×#11758199C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×#11758189C2311yescharacteristic
222C2×#11758189C2311yescharacteristic
223C2×C8×D61C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225#14519777C2311yescharacteristic
226#14519777C2311yescharacteristic
227#14519776—21no—
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519775—21no—
232#14519773C2311yescharacteristic
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519770—21no—
242#14519770—21no—
243#14519769C2311yescharacteristic
244#14519769C2311yescharacteristic
245#14519768—21no—
246#14519768—21no—
247#14519768—21no—
248#14519766—21no—
249#14519766—21no—
250#14519766—21no—
251#14519766—21no—
252#14519765C2311yescharacteristic
253#14519765C2311yescharacteristic
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519762—21no—
265#14519761—21no—
266#14519761—21no—
267#14519761—21no—
268#14519761—21no—
269#14519760—21no—
270#14519760—21no—
271#14519757C2311yescharacteristic
272#14519757C2311yescharacteristic
273#14519757C2311yescharacteristic
274#14519757C2311yescharacteristic
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519753—21no—
282#14519753—21no—
283#14519753—21no—
284#14519752—21no—
285#14519752—21no—
286#14519752—21no—
287#14519752—21no—
288#14519752C2311yescharacteristic
289#14519752C2311yescharacteristic
290#14519752C2311yescharacteristic
291#14519752C2311yescharacteristic
292#14519752C2311yescharacteristic
293#14519751—21no—
294#14519751—21no—
295#14519751—21no—
296#14519751—21no—
297#14519750—21no—
298#14519750—21no—
299#14519750—21no—
300#14519750—21no—
301#14519750—21no—
302#14519748C2311yescharacteristic
303#14519748C2311yescharacteristic
304#14519748C2311yescharacteristic
305#14519747—21no—
306#14519747—21no—
307Q8×Dic61—21no—
308Q8×Dic61D411yescharacteristic
309C4×Dic122C2311yescharacteristic
310C4×Dic122C2311yescharacteristic
311#14519742—21no—
312#14519742—21no—
313#14519742—21no—
314#14519742—21no—
315#14519742C2311yescharacteristic
316#14519742C2311yescharacteristic
317C4×D244C2311yescharacteristic
318C4×D244C2311yescharacteristic
319C4×D244C2311yescharacteristic
320C4×D244C2311yescharacteristic
321C4×D244C2311yescharacteristic
322C4×D244C2311yescharacteristic
323C4×D244C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325#14519739—21no—
326#14519739—21no—
327#14519739—21no—
328#14519739—21no—
329#14519739D411yescharacteristic
330#14519739D411yescharacteristic
331#14519739D411yescharacteristic
332#14519739C2311yescharacteristic
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519736—21no—
345#14519735—21no—
346#14519735—21no—
347#14519735—21no—
348#14519735—21no—
349#14519735—21no—
350#14519735—21no—
351#14519735—21no—
352#14519735—21no—
353#14519735D411yescharacteristic
354#14519735D411yescharacteristic
355#14519735D411yescharacteristic
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519735C2311yescharacteristic
360#14519735C2311yescharacteristic
361#14519735C2311yescharacteristic
362#14519733—21no—
363#14519733—21no—
364C2×C4⋊Dic61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×#11758198—21no—
371C2×#11758198—21no—
372C22⋊C4×D61—21no—
373C2×C4×Dic61—21no—
374C2×C4×Dic61—21no—
375C42×D61C2311yescharacteristic
376C42×D61C2311yescharacteristic
377C42×D61C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519688C2311yescharacteristic
433#14519688C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C2×D8×C61C2311yescharacteristic
436C4⋊Q8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438#125×C61C2311yescharacteristic
439#125×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442C22⋊Q8×C61—21no—
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C4×Q8×C61C2311yescharacteristic
449C4×D4×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C2×C4⋊C4×C61—21no—
456C2×C4⋊C4×C61—21no—
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2×D411yescharacteristic
482C2×D4×C61C2411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501#11758226—42no—
502Q8×D61—82no—
503#11758224—22no—
504#11758224—22no—
505#11758224—41no—
506#11758224—41no—
507D4×D61—22no—
508D4×D61—41no—
509#11758222—44no—
510#11758222—82no—
511#11758222—82no—
512C2×D244—21no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244C2×D411yescharacteristic
518C2×D244C2×D411yescharacteristic
519C2×D244C2×D411yescharacteristic
520C2×D244C2411yescharacteristic
521C2×D244C2411yescharacteristic
522C2×C4×D61—21no—
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—44no—
531C2×C4×D61C2×D411yescharacteristic
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122C2411yescharacteristic
545C2×Dic122C2411yescharacteristic
546D8×C61—22no—
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
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×C61C2×D411yescharacteristic
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2×D411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C42×C61C2411yescharacteristic
577C42×C61C2411yescharacteristic
578C42×C61C2411yescharacteristic
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583#11758200—41no—
584#11758200—41no—
585#11758199—22no—
586#11758199—41no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
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#11758198C2×D411yescharacteristic
612#11758198C2×D411yescharacteristic
613#11758198C2×D411yescharacteristic
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616#11758198C2×D411yescharacteristic
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61C2×D411yescharacteristic
625C4⋊Dic61C2×D411yescharacteristic
626C4⋊Dic61C2×D411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
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—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666D488—41no—
667#11758190—41no—
668#11758190—41no—
669#11758189—41no—
670#11758189—41no—
671#11758189—41no—
672#11758189—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61—21no—
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—42no—
680C22×D61—42no—
681C22×D61—81no—
682C22×D61C22×D411yescharacteristic
683C22×D61C22×D411yescharacteristic
684C22×D61C22×D411yescharacteristic
685Q8×C61—41no—
686Q8×C61—81no—
687Q8×C61—81no—
688D4×C61—21no—
689D4×C61—21no—
690D4×C61—21no—
691D4×C612−1+412yes—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—42no—
699C2×C4×C61—42no—
700C2×C4×C61—81no—
701C2×C4×C61—81no—
702C2×C4×C61—81no—
703C2×C4×C61—81no—
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C2511yescharacteristic
711C22⋊D61—42no—
712C22⋊D61—42no—
713C22⋊D61—42no—
714C22⋊D61—42no—
715C22⋊D61—42no—
716C22⋊D61—42no—
717C22⋊D61—81no—
718C22⋊D61—81no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—42no—
726C2×Dic61—42no—
727C2×Dic61—42no—
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733D244—21no—
734D244—21no—
735D244—21no—
736D244—21no—
737D244—41no—
738D244—41no—
739D244—41no—
740D244—42no—
741D244—81no—
742D244—81no—
743D244—81no—
744D244—81no—
745C4×D61—21no—
746C4×D61—21no—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—21no—
751C4×D61—22no—
752C4×D61—22no—
753C4×D61—22no—
754C4×D61—41no—
755C4×D61—41no—
756C4×D61—41no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—81no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765Dic122—21no—
766Dic122—21no—
767Dic122—21no—
768Dic122—21no—
769Dic122—42no—
770Dic122—42no—
771Dic122—42no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62115—611nomaximal, Sylow
782C22×C61—22no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61C23×D411yescharacteristic
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—21no—
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—21no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—84no—
805C4×C61—21no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61C2×2−1+411yescharacteristic
818C4×C61#58511yescharacteristic
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—41no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61#57512yes—
830#3511—611no—
831#3475—611no—
832#3389—611no—
833#3389D6111yescharacteristic, complemented
834#3376—611no—
835#3376—611no—
836#3351—611no—
837#3351—611no—
838#3348—611no—
839#3348—611no—
840#3347—611no—
841#3347—611no—
842#3322—611no—
843#3322—611no—
844#3319—611no—
845#3319—611no—
846#3307—611no—
847#3307—611no—
848#3254—611no—
849#3251—611no—
850#3247—611no—
851#3238—611no—
852#3237—611no—
853#3233—611no—
854#3115—611no—
855#3109—611no—
856#3106—611no—
857#3079—611no—
858#3077—611no—
859#3076—611no—
860#2989—611no—
861C2×C61—42no—
862C2×C61—81no—
863C2×C61#348911yescharacteristic
864C2×C61C2×#57511yescharacteristic
865C2×C61#358511yescharacteristic
866D61—41no—
867D61—41no—
868D61—41no—
869D61—81no—
870D61—81no—
871#556—611no—
872#556—1221no—
873#555—611no—
874#555—611no—
875#555—611no—
876#554—611no—
877#554C2×D6111yescharacteristic
878#554C2×D6111yescharacteristic, complemented
879#553—611no—
880#553—611no—
881#553—611no—
882#553—611no—
883#553—1221no—
884#552—611no—
885#552—611no—
886#552—1221no—
887#551—1221no—
888#551—1221no—
889#548—1221no—
890#548—1221no—
891#547—611no—
892#547—1221no—
893#546—611no—
894#546—611no—
895#542—1221no—
896#542—1221no—
897#537—1221no—
898#533—611no—
899#533—611no—
900#533—611no—
901#532—611no—
902#532—611no—
903#532—611no—
904C2×C4⋊Q8—611no—
905#529—611no—
906#529—611no—
907#529—1221no—
908#529—1221no—
909#525—1221no—
910#520—1221no—
911C4×#41—611no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×#117—1221no—
916#501—611no—
917#501—611no—
918#501C2×D6111yescharacteristic, complemented
919#501C2×D6111yescharacteristic, complemented
920#499—611no—
921#499C2×D6111yescharacteristic, complemented
922#491—611no—
923#491—611no—
924#489—611no—
925#489—611no—
926#488—611no—
927#488—611no—
928#485—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#485—611no—
933#485—611no—
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#482—611no—
940#482—611no—
941#482—611no—
942#481—611no—
943#481—611no—
944#480—611no—
945#480—611no—
946#479—611no—
947#479—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478—611no—
954#478C2×D6111yescharacteristic
955#478C2×D6111yescharacteristic
956#478C2×D6111yescharacteristic, complemented
957#478C2×D6111yescharacteristic, complemented
958#477—611no—
959#477—611no—
960#477—611no—
961#477—611no—
962#476—611no—
963#476—611no—
964#476—611no—
965#476—611no—
966#475—611no—
967#475—611no—
968#475—611no—
969#475—611no—
970#474—611no—
971#474—611no—
972#474—611no—
973#474—611no—
974#474C2×D6111yescharacteristic
975#474C2×D6111yescharacteristic, complemented
976#469—611no—
977#469—611no—
978#468—611no—
979#468—611no—
980#468—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#466—611no—
985#466—611no—
986#465—611no—
987#465—611no—
988#463—611no—
989#463—611no—
990#463—611no—
991#463—611no—
992#461—611no—
993#461—611no—
994#460—611no—
995#460—611no—
996#459—611no—
997#459—611no—
998#449—611no—
999#449—611no—
1000#449—611no—
1001#449—611no—
1002#447—611no—
1003#447—611no—
1004#446—611no—
1005#446C2×D6111yescharacteristic, complemented
1006#442—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#442C2×D6111yescharacteristic
1011#442C2×D6111yescharacteristic
1012#440—611no—
1013#440—611no—
1014C4×SD16—611no—
1015C4×SD16—611no—
1016C4×D8—611no—
1017C4×D8C2×D6111yescharacteristic
1018#436—611no—
1019#436—611no—
1020#435—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#432—611no—
1025#432—611no—
1026#431—611no—
1027#428—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#427—611no—
1032#427—611no—
1033#423—611no—
1034#423—611no—
1035C2×C4⋊C8—611no—
1036#418—611no—
1037#418—611no—
1038#417—611no—
1039#417—611no—
1040#416—611no—
1041#416—611no—
1042C61#6211511yescharacteristic, complemented, Sylow
1043C2×#41—611no—
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C2×#41—1221no—
1049C22×Q8—1221no—
1050C22×D4—611no—
1051C23×C4—1221no—
1052C2×SD16—611no—
1053C2×SD16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×D8—611no—
1057C2×D8—611no—
1058C2×D8—611no—
1059C2×D8C22×D6111yescharacteristic
1060C2×M16—611no—
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C22×C8—611no—
1065C22×C8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—611no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8C22×D6111yescharacteristic
1074C4⋊Q8C22×D6111yescharacteristic
1075#127—611no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#125—611no—
1087#125—611no—
1088#125—1221no—
1089#125—1221no—
1090#125—1221no—
1091#125C22×D6111yescharacteristic
1092#125C22×D6111yescharacteristic
1093#125C22×D6111yescharacteristic
1094#125C22×D6111yescharacteristic
1095#124—611no—
1096#124—611no—
1097#124—1221no—
1098#124—1221no—
1099#124—1221no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#123—1221no—
1107#123—1221no—
1108#123—1221no—
1109#123—1221no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118C22⋊Q8—21no—
1119C22⋊Q8—21no—
1120C22⋊Q8—21no—
1121C22⋊Q8—21no—
1122C22⋊Q8—21no—
1123C22⋊Q8—21no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137#121—611no—
1138#121—611no—
1139#121—611no—
1140#121—611no—
1141#121—611no—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#121—1221no—
1158#120—1221no—
1159#120—1221no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—1221no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4C22×D6111yescharacteristic
1199C4×D4C22×D6111yescharacteristic
1200C4×D4C22×D6111yescharacteristic
1201C4×D4C22×D6111yescharacteristic
1202C4×D4C22×D6111yescharacteristic
1203C4×D4C22×D6111yescharacteristic
1204#117—611no—
1205#117—611no—
1206#117—611no—
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117—1221no—
1223#117—1221no—
1224C2×C4⋊C4—21no—
1225C2×C4⋊C4—21no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4—611no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C22⋊C4—1221no—
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C42—611no—
1236C2×C42—611no—
1237C2×C42—611no—
1238C2×C42—1221no—
1239C2×C42—1221no—
1240#107—611no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107C22×D6111yescharacteristic
1248#107C22×D6111yescharacteristic
1249#107C22×D6111yescharacteristic
1250#107C22×D6111yescharacteristic
1251#107C22×D6111yescharacteristic
1252#106—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106C22×D6111yescharacteristic
1261#106C22×D6111yescharacteristic
1262#106C22×D6111yescharacteristic
1263#106C22×D6111yescharacteristic
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8C22×D6111yescharacteristic
1272C4⋊C8C22×D6111yescharacteristic
1273C4⋊C8C22×D6111yescharacteristic
1274#103—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#103—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#102C22×D6111yescharacteristic
1301#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305#102C22×D6111yescharacteristic
1306C22⋊C8—611no—
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8—611no—
1312#97—611no—
1313#97—611no—
1314#97C22×D6111yescharacteristic
1315#97C22×D6111yescharacteristic
1316C4×C8—611no—
1317C4×C8C22×D6111yescharacteristic
1318C24—1221no—
1319#41—1222no—
1320#41—1222no—
1321#41—4882no—
1322#41—4882no—
1323#41—2444no—
1324#41—2442no—
1325#41—2441no—
1326#41—2441no—
1327C2×Q8—21no—
1328C2×Q8—21no—
1329C2×Q8—611no—
1330C2×Q8—611no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—1221no—
1334C2×Q8—1221no—
1335C2×Q8—4882no—
1336C2×Q8D4×D6111yescharacteristic
1337C2×D4—611no—
1338C2×D4—611no—
1339C2×D4—611no—
1340C2×D4—611no—
1341C2×D4—611no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1222no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—1221no—
1356C2×D4—2441no—
1357C2×D4C23×D6111yescharacteristic
1358C2×D4C23×D6111yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—611no—
1374C22×C4—1221no—
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—2444no—
1386SD16—2441no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—22no—
1391D8—1222no—
1392D8—2441no—
1393D8—2441no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397M16—2441no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—2441no—
1403C2×C8—2441no—
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C2×C8C23×D6111yescharacteristic
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—611no—
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⋊C4D4×D6111yescharacteristic
1447C4⋊C4D4×D6111yescharacteristic
1448C4⋊C4D4×D6111yescharacteristic
1449C4⋊C4C23×D6111yescharacteristic
1450C4⋊C4C23×D6111yescharacteristic
1451C4⋊C4C23×D6111yescharacteristic
1452C4⋊C4C23×D6111yescharacteristic
1453C4⋊C4C23×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
1463C22⋊C4—611no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
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⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C42—611no—
1496C42—611no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42C23×D6111yescharacteristic
1513C42C23×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C23—21no—
1516C23—21no—
1517C23—611no—
1518C23—611no—
1519C23—611no—
1520C23—1221no—
1521C23—1221no—
1522C23—4881no—
1523C23—2442no—
1524C23—2442no—
1525Q8—41no—
1526Q8—81no—
1527Q8—81no—
1528Q8—1221no—
1529Q8—1221no—
1530Q8—1221no—
1531Q8—1221no—
1532Q8—4881no—
1533Q8—2442no—
1534Q8—2442no—
1535Q8—2442no—
1536D4—21no—
1537D4—21no—
1538D4—21no—
1539D4—1221no—
1540D4—1221no—
1541D4—1221no—
1542D4—1221no—
1543D4—4881no—
1544D4—4881no—
1545D4—4881no—
1546D4—4881no—
1547D4—4881no—
1548D4—4881no—
1549D4—2441no—
1550D4—2441no—
1551D4—2441no—
1552D4—2442no—
1553D4—2442no—
1554D4—2442no—
1555D4—2442no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4#1451982512yes—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—42no—
1567C2×C4—42no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—611no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—1222no—
1578C2×C4—1222no—
1579C2×C4—1222no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—2441no—
1597C2×C4—2441no—
1598C2×C4—2441no—
1599C2×C4—2442no—
1600C2×C4—2442no—
1601C2×C4—2442no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4C2×D4×D6111yescharacteristic
1607C2×C4C2×D4×D6111yescharacteristic
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C24×D6111yescharacteristic
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—1221no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—1221no—
1628C22—1221no—
1629C22—1221no—
1630C22—1221no—
1631C22—1221no—
1632C22—1221no—
1633C22—1221no—
1634C22—1221no—
1635C22—1221no—
1636C22—4884no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22C22×D4×D6111yescharacteristic
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—612no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4C2×#1451982511yescharacteristic
1668C4#1684059911yescharacteristic
1669C2—42no—
1670C2—81no—
1671C2—4881no—
1672C2—4881no—
1673C2—2441no—
1674C2—2441no—
1675C2—2441no—
1676C2#2145949611yescharacteristic
1677C2#575×D6111yescharacteristic
1678C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3389C2
socleC22×C61C23×D4
hypercenter#3389D61
hypocenterC61#62115
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #21459727C2semidirect
2. #21459385C2semidirect
3. #21458773C2semidirect
4. #21458648C2semidirect
5. #21458646C2semidirect
6. #21458386C2semidirect
7. #21458378C2semidirect
8. #21458333C2semidirect
9. #21458331C2semidirect
10. #21458326C2semidirect
11. #21458318C2semidirect
12. #21458025C2semidirect
13. #21458017C2semidirect
14. #21457980C2semidirect
15. #21457972C2semidirect
16. #21457800C2semidirect
17. #21457792C2semidirect
18. #21457208C2semidirect
19. #21457180C2semidirect
20. #21457144C2semidirect
21. #21457041C2semidirect
22. #21457034C2semidirect
23. #21456999C2semidirect
24. #21455966C2semidirect
25. #21455908C2semidirect
26. #21455875C2semidirect
27. #21455627C2semidirect
28. #21455614C2semidirect
29. #21455604C2semidirect
30. #21454935C2semidirect
31. C61×#3389C2semidirect
37. #16840472C22semidirect
39. #16840465C22semidirect
41. #16840462C22semidirect
58. #16840318C22semidirect
61. #16840309C22semidirect
62. #16840309C22semidirect
63. C4⋊Q8×D61C22semidirect
75. #16840172C22semidirect
76. #16840168C22semidirect
77. #16840161C22semidirect
78. #16840132C22semidirect
79. #16840131C22semidirect
86. #16840106C22semidirect
89. #16840105C22semidirect
90. #16840094C22semidirect
91. #16840094C22semidirect
93. #16840089C22semidirect
95. #16840088C22semidirect
96. #16840085C22semidirect
97. #16840084C22semidirect
102. #16840070C22semidirect
103. #16840066C22semidirect
108. #16840059C22semidirect
109. #16840059C22semidirect
110. #16840056C22semidirect
111. #16840056C22semidirect
112. #16840056C22semidirect
113. #16840056C22semidirect
118. #16840048C22semidirect
119. #16840046C22semidirect
120. #16840046C22semidirect
121. #16840044C22semidirect
125. #16840039C22semidirect
130. #16840009C22semidirect
133. #16840007C22semidirect
136. #16839992C22semidirect
137. #16839990C22semidirect
142. #16839968C22semidirect
143. #16839967C22semidirect
144. #16839961C22semidirect
145. #16839961C22semidirect
154. #16839893C22semidirect
159. #16839864C22semidirect
160. #16839862C22semidirect
161. C4×#11758190C22semidirect
162. C4×#11758200C22semidirect
167. #16839835C22semidirect
169. #16839832C22semidirect
171. #16839817C22semidirect
172. #16839813C22semidirect
174. #16839803C22semidirect
175. #16839803C22semidirect
177. #16839799C22semidirect
178. #16839797C22semidirect
180. #16839784C22semidirect
181. C4⋊C8×D61C22semidirect
189. C61×#554C22semidirect
190. C61×#501C22semidirect
191. C61×#501C22semidirect
192. C61×#499C22semidirect
195. C61×#478C22semidirect
196. C61×#478C22semidirect
198. C61×#474C22semidirect
199. C61×#446C22semidirect
833. #3389D61semidirect
878. #554C2×D61semidirect
918. #501C2×D61semidirect
919. #501C2×D61semidirect
921. #499C2×D61semidirect
956. #478C2×D61semidirect
957. #478C2×D61semidirect
975. #474C2×D61semidirect
1005. #446C2×D61semidirect
1042. C61#62115semidirect

Maximal subgroups

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

subgroupindex
#214597272
#214593852
#214587732
#214586482
#214586462
#214583862
#214583782
#214583332
#214583312
#214583262
#214583182
#214580252
#214580172
#214579802
#214579722
#214578002
#214577922
#214572082
#214571802
#214571442
#214570412
#214570342
#214569992
#214559662
#214559082
#214558752
#214556272
#214556142
#214556042
#214549352
C61×#33892
#6211561