Finite Group Databasebeta

← #30563039

Subgroups — #30563039

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#21459918C211yesmaximal, characteristic, complemented
2#21459887C211yesmaximal, characteristic, complemented
3#21458889C211yesmaximal, characteristic, complemented
4#21458768C211yesmaximal, characteristic, complemented
5#21458507C211yesmaximal, characteristic, complemented
6#21458474C211yesmaximal, characteristic, complemented
7#21458376C211yesmaximal, characteristic, complemented
8#21458347C211yesmaximal, characteristic, complemented
9#21458317C211yesmaximal, characteristic, complemented
10#21457756C211yesmaximal, characteristic, complemented
11#21457740C211yesmaximal, characteristic, complemented
12#21457724C211yesmaximal, characteristic, complemented
13#21457713C211yesmaximal, characteristic, complemented
14#21457666C211yesmaximal, characteristic, complemented
15#21457647C211yesmaximal, characteristic, complemented
16#21457456C211yesmaximal, characteristic, complemented
17#21457378C211yesmaximal, characteristic, complemented
18#21457363C211yesmaximal, characteristic, complemented
19#21456500C211yesmaximal, characteristic, complemented
20#21456493C211yesmaximal, characteristic, complemented
21#21456383C211yesmaximal, characteristic, complemented
22#21456052C211yesmaximal, characteristic, complemented
23#21456037C211yesmaximal, characteristic, complemented
24#21456022C211yesmaximal, characteristic, complemented
25#21456007C211yesmaximal, characteristic, complemented
26#21455930C211yesmaximal, characteristic, complemented
27#21454788C211yesmaximal, characteristic, complemented
28#21454659C211yesmaximal, characteristic, complemented
29#21454648C211yesmaximal, characteristic, complemented
30C4×#14519797C211yesmaximal, characteristic, complemented
31C61×#3111C211yesmaximal, characteristic, complemented
32C2×#14519806C2211yescharacteristic
33C2×#14519801C2211yescharacteristic
34C2×#14519797C2211yescharacteristic
35#16840495—21no—
36#16840494C2211yescharacteristic, complemented
37#16840489C2211yescharacteristic, complemented
38#16840484C2211yescharacteristic
39#16840480C2211yescharacteristic
40#16840476C2211yescharacteristic, complemented
41#16840475—21no—
42#16840471C2211yescharacteristic
43#16840465C2211yescharacteristic
44#16840461—21no—
45#16840461—21no—
46#16840456C2211yescharacteristic
47#16840453C2211yescharacteristic
48#16840446C2211yescharacteristic
49#16840445—21no—
50#16840445—21no—
51#16840441—21no—
52#16840436—21no—
53#16840430C2211yescharacteristic
54#16840422C2211yescharacteristic, complemented
55#16840420C2211yescharacteristic
56#16840411C2211yescharacteristic
57#16840407C2211yescharacteristic
58#16840400C2211yescharacteristic
59#16840384C2211yescharacteristic
60#16840384C2211yescharacteristic
61#16840380—21no—
62#16840370C2211yescharacteristic
63#16840364—21no—
64#16840363C2211yescharacteristic, complemented
65#16840354—21no—
66#16840345—21no—
67#16840296—21no—
68#16840296C2211yescharacteristic
69#16840296C2211yescharacteristic
70#16840295—21no—
71#16840295—21no—
72C2×#14519771—21no—
73#16840241C2211yescharacteristic
74#16840241C2211yescharacteristic
75#16840238C2211yescharacteristic, complemented
76#16840234C2211yescharacteristic
77C4×#11758222C2211yescharacteristic, complemented
78#16840170C2211yescharacteristic, complemented
79#16840169C2211yescharacteristic, complemented
80#16840161C2211yescharacteristic, complemented
81#16840155C2211yescharacteristic, complemented
82#16840148C2211yescharacteristic
83#16840144C2211yescharacteristic
84#16840119C2211yescharacteristic
85#16840118C2211yescharacteristic
86#16840118C2211yescharacteristic, complemented
87#16840116C2211yescharacteristic, complemented
88#16840111C2211yescharacteristic, complemented
89#16840107C2211yescharacteristic, complemented
90#16840104C2211yescharacteristic, complemented
91#16840102C2211yescharacteristic, complemented
92#16840101C2211yescharacteristic
93#16840099C2211yescharacteristic
94#16840091C2211yescharacteristic
95#16840089C2211yescharacteristic
96#16840088C2211yescharacteristic
97#16840087C2211yescharacteristic
98#16840082C2211yescharacteristic, complemented
99#16840074C2211yescharacteristic, complemented
100#16840072C2211yescharacteristic, complemented
101#16840070C2211yescharacteristic, complemented
102#16840068C2211yescharacteristic, complemented
103#16840064C2211yescharacteristic, complemented
104#16840063C2211yescharacteristic, complemented
105#16840060C2211yescharacteristic
106#16840055C2211yescharacteristic, complemented
107#16840050C2211yescharacteristic
108#16840046C2211yescharacteristic, complemented
109#16840041C2211yescharacteristic
110#16840019C2211yescharacteristic
111#16840014C2211yescharacteristic
112#16840011C2211yescharacteristic
113#16840011C2211yescharacteristic, complemented
114#16840001C2211yescharacteristic, complemented
115#16840000C2211yescharacteristic
116#16839999C2211yescharacteristic
117#16839996C2211yescharacteristic
118#16839993C2211yescharacteristic
119#16839992C2211yescharacteristic
120#16839989C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839987C2211yescharacteristic
123#16839986C2211yescharacteristic
124#16839985C2211yescharacteristic
125#16839980C2211yescharacteristic
126#16839979C2211yescharacteristic
127#16839978C2211yescharacteristic
128#16839971C2211yescharacteristic, complemented
129#16839965C2211yescharacteristic, complemented
130#16839961C2211yescharacteristic, complemented
131#16839955C2211yescharacteristic
132#16839926C2211yescharacteristic, complemented
133#16839925C2211yescharacteristic
134#16839921C2211yescharacteristic
135#16839916C2211yescharacteristic, complemented
136#16839911C2211yescharacteristic
137#16839909C2211yescharacteristic
138#16839908C2211yescharacteristic
139#16839904C2211yescharacteristic
140#16839902C2211yescharacteristic
141#16839897C2211yescharacteristic
142#16839889C2211yescharacteristic, complemented
143#16839886C2211yescharacteristic, complemented
144#16839875C2211yescharacteristic
145#16839871C2211yescharacteristic
146#16839870C2211yescharacteristic, complemented
147#16839866C2211yescharacteristic, complemented
148#16839864C2211yescharacteristic
149#16839864C2211yescharacteristic, complemented
150#16839859C2211yescharacteristic
151#16839859C2211yescharacteristic
152#16839856C2211yescharacteristic, complemented
153C4×#11758202C2211yescharacteristic, complemented
154C4×#11758202C2211yescharacteristic, complemented
155C4×#11758202C2211yescharacteristic, complemented
156SD16×Dic61C2211yescharacteristic
157C4×#11758201C2211yescharacteristic
158C4×#11758201C2211yescharacteristic, complemented
159C4×#11758201C2211yescharacteristic, complemented
160#16839849C2211yescharacteristic
161C4×#11758200C2211yescharacteristic
162C4×#11758200C2211yescharacteristic
163C4×#11758200C2211yescharacteristic, complemented
164D8×Dic61C2211yescharacteristic
165C4×#11758199C2211yescharacteristic
166C4×#11758199C2211yescharacteristic
167C4×#11758199C2211yescharacteristic
168#16839839C2211yescharacteristic
169#16839830C2211yescharacteristic
170#16839830C2211yescharacteristic, complemented
171#16839827C2211yescharacteristic
172#16839825C2211yescharacteristic
173#16839825C2211yescharacteristic, complemented
174#16839824C2211yescharacteristic
175#16839824C2211yescharacteristic, complemented
176#16839803C2211yescharacteristic, complemented
177#16839801C2211yescharacteristic
178#16839798C2211yescharacteristic, complemented
179#16839758C2211yescharacteristic
180#16839756C2211yescharacteristic, complemented
181#16839755C2211yescharacteristic
182#16839755C2211yescharacteristic
183#103×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic
185#16839719C2211yescharacteristic
186#16839719C2211yescharacteristic, complemented
187C2×C4×#92418C2211yescharacteristic, complemented
188C61×#529C2211yescharacteristic, complemented
189C4×#41×C61C2211yescharacteristic
190C61×#485C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#479C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic
194C61×#464C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic
196C61×#452C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#442C2211yescharacteristic
199C61×#441C2211yescharacteristic, complemented
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic, complemented
202C61×#432C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C2×D4×D61C2311yescharacteristic
208#14519806—24no—
209#14519801—24no—
210#14519797—24no—
211C2×Dic244C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×#11758200C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×#11758201C2311yescharacteristic
220C2×D488C2311yescharacteristic
221C2×#11758199C2311yescharacteristic
222C2×#11758199C2311yescharacteristic
223C2×#11758189C2311yescharacteristic
224C2×#11758189C2311yescharacteristic
225C22×#92418C2311yescharacteristic
226C22×#92418C2311yescharacteristic
227C2×C8×D61C2311yescharacteristic
228C2×C8×D61C2311yescharacteristic
229#14519776—21no—
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519775C2311yescharacteristic
233#14519773—21no—
234#14519773C2311yescharacteristic
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519771—21no—
239#14519771—21no—
240#14519771—21no—
241#14519771—21no—
242#14519771—21no—
243#14519771—21no—
244#14519771—21no—
245#14519771—21no—
246#14519771D411yescharacteristic
247#14519771D411yescharacteristic
248#14519770—21no—
249#14519770—21no—
250#14519769—21no—
251#14519769D411yescharacteristic
252#14519769C2311yescharacteristic
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519766C2311yescharacteristic
261#14519766C2311yescharacteristic
262#14519765—21no—
263#14519765—21no—
264#14519765D411yescharacteristic
265#14519765C2311yescharacteristic
266#14519764—21no—
267#14519763—21no—
268#14519763—21no—
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519762—21no—
273#14519762—21no—
274#14519762—21no—
275#14519762—21no—
276#14519761—21no—
277#14519761—21no—
278#14519760—21no—
279#14519760—21no—
280#14519760—21no—
281#14519760—21no—
282#14519760D411yescharacteristic
283#14519760D411yescharacteristic
284#14519759—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759—21no—
288#14519758—21no—
289#14519757C2311yescharacteristic
290#14519756—21no—
291#14519756D411yescharacteristic
292#14519756C2311yescharacteristic
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519753C2311yescharacteristic
301#14519753C2311yescharacteristic
302#14519753C2311yescharacteristic
303#14519752—21no—
304#14519752C2311yescharacteristic
305#14519752C2311yescharacteristic
306#14519752C2311yescharacteristic
307#14519751—21no—
308#14519751—21no—
309#14519751D411yescharacteristic
310#14519751C2311yescharacteristic
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519750—21no—
316#14519749—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519748C2311yescharacteristic
321#14519747—21no—
322#14519745—21no—
323Q8×Dic61C2311yescharacteristic
324C4×Dic122—21no—
325C4×Dic122—21no—
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330#14519742—21no—
331#14519742—21no—
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335C4×D244—21no—
336C4×D244C2311yescharacteristic
337C4×D244C2311yescharacteristic
338C4×D244C2311yescharacteristic
339C4×D244C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342D4×Dic61C2311yescharacteristic
343#14519739—21no—
344#14519739—21no—
345#14519739C2311yescharacteristic
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61—21no—
352C4×C22⋊D61C2311yescharacteristic
353C4×C22⋊D61C2311yescharacteristic
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519737—21no—
359#14519737—21no—
360#14519736C2311yescharacteristic
361#14519735—21no—
362#14519735—21no—
363#14519735C2311yescharacteristic
364#14519735C2311yescharacteristic
365#14519734—21no—
366#14519734—21no—
367#14519734—21no—
368#14519734—21no—
369#14519734—21no—
370#14519734C2311yescharacteristic
371#14519734C2311yescharacteristic
372#14519733—21no—
373#14519733—21no—
374#14519733—21no—
375C2×#11758196—21no—
376C2×#11758196—21no—
377C2×#11758196—21no—
378C2×#11758196—21no—
379C4⋊C4×D61C2311yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C2×#11758198—21no—
382C2×#11758198—21no—
383C2×#11758198—21no—
384C22⋊C4×D61—21no—
385C42×D61—21no—
386#14519711C2311yescharacteristic
387#14519711C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C4×#92418C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×#41×C61C2311yescharacteristic
439C2×Q16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×D8×C61C2311yescharacteristic
443#126×C61—21no—
444#125×C61C2311yescharacteristic
445#124×C61C2311yescharacteristic
446#123×C61—21no—
447C22⋊Q8×C61C2311yescharacteristic
448#121×C61C2311yescharacteristic
449C4×Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61—21no—
454C4×D4×C61—21no—
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458#117×C61—21no—
459#117×C61—21no—
460#117×C61C2311yescharacteristic
461C2×C42×C61—21no—
462C2×C42×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479#97×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481C23×D61—21no—
482#41×C61—22no—
483#41×C61—41no—
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61C2×D411yescharacteristic
495C22×C4×C61C2×D411yescharacteristic
496C22×C4×C61C2411yescharacteristic
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61C2×D411yescharacteristic
506C2×C22⋊D61C2×D411yescharacteristic
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512Q8×D61—22no—
513Q8×D61—41no—
514#11758224—22no—
515#11758224—22no—
516#11758224—41no—
517#11758224—41no—
518D4×D61—22no—
519D4×D61—41no—
520#11758222—22no—
521#11758222—41no—
522C2×D244—21no—
523C2×D244—21no—
524C2×D244—21no—
525C2×D244C2×D411yescharacteristic
526C2×D244C2411yescharacteristic
527C2×D244C2411yescharacteristic
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×D61C2411yescharacteristic
537C2×C4×D61C2411yescharacteristic
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122C2×D411yescharacteristic
542C2×Dic122C2411yescharacteristic
543C2×Dic122C2411yescharacteristic
544Q16×C61—41no—
545SD16×C61—22no—
546SD16×C61—41no—
547D8×C61—22no—
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
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×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C42×C61—21no—
571C42×C61—21no—
572C42×C61—21no—
573C42×C61—21no—
574C42×C61C2×D411yescharacteristic
575C42×C61C2×D411yescharacteristic
576C42×C61C2411yescharacteristic
577C42×C61C2411yescharacteristic
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61C2×D411yescharacteristic
585C22⋊Dic61C2×D411yescharacteristic
586#11758202—22no—
587#11758202—22no—
588#11758201—22no—
589#11758201—41no—
590#11758200—41no—
591#11758200#4114yes—
592#11758199—22no—
593#11758199—22no—
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#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616#11758198C2×D411yescharacteristic
617#11758198C2×D411yescharacteristic
618#11758198C2×D411yescharacteristic
619#11758198C2×D411yescharacteristic
620#11758198C2×D411yescharacteristic
621#11758198C2×D411yescharacteristic
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61C2×D411yescharacteristic
627C4⋊Dic61C2×D411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
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—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196C2×D411yescharacteristic
653#11758196C2×D411yescharacteristic
654#11758196C2×D411yescharacteristic
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659#11758196C2×D411yescharacteristic
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×Dic61C2411yescharacteristic
671C4×Dic61C2411yescharacteristic
672C2×#92418—22no—
673C2×#92418—41no—
674C2×#92418C2411yescharacteristic
675C2×#92418C2411yescharacteristic
676C2×#92418C2411yescharacteristic
677C2×#92418C2411yescharacteristic
678Dic244—22no—
679D488—41no—
680#11758190—22no—
681#11758190—41no—
682#11758189—22no—
683#11758189—22no—
684C8×D61—41no—
685C8×D61—41no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61C22×D411yescharacteristic
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—
700D4×C61—21no—
701D4×C61—21no—
702D4×C61—21no—
703D4×C61—42no—
704D4×C61—81no—
705D4×C61C2×#4112yes—
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—41no—
715C2×C4×C61—41no—
716C2×C4×C61—42no—
717C2×C4×C61—81no—
718C2×C4×C61—81no—
719C2×C4×C61—81no—
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C22×D411yescharacteristic
724C2×C4×C61C22×D411yescharacteristic
725C2×C4×C61C2511yescharacteristic
726C22⋊D61—41no—
727C22⋊D61—41no—
728C22⋊D61—42no—
729C22⋊D61—42no—
730C22⋊D61—42no—
731C22⋊D61—42no—
732C22⋊D61—81no—
733C22⋊D61—81no—
734C22⋊D61—81no—
735C22⋊D61—81no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—42no—
743C2×Dic61—42no—
744C2×Dic61—81no—
745C2×Dic61—81no—
746C2×Dic61—81no—
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753D244—21no—
754D244—21no—
755D244—21no—
756D244—21no—
757D244—41no—
758D244—81no—
759D244—81no—
760D244—81no—
761C4×D61—21no—
762C4×D61—21no—
763C4×D61—21no—
764C4×D61—21no—
765C4×D61—42no—
766C4×D61—42no—
767C4×D61—81no—
768C4×D61—81no—
769C4×D61—81no—
770C4×D61—81no—
771C4×D61—81no—
772C4×D61—81no—
773Dic122—21no—
774Dic122—21no—
775Dic122—21no—
776Dic122—41no—
777Dic122—42no—
778Dic122—81no—
779Dic122—81no—
780Dic122C2×#4112yes—
781C8×C61—21no—
782C8×C61—21no—
783C8×C61—21no—
784C8×C61—21no—
785#92418—21no—
786#92418—21no—
787#92418—21no—
788#92418C2×#4112yes—
789#61500—611nomaximal, Sylow
790C22×C61—21no—
791C22×C61—21no—
792C22×C61—22no—
793C22×C61—21no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61C23×D411yescharacteristic
800C2×D61—21no—
801C2×D61—21no—
802C2×D61—21no—
803C2×D61—21no—
804C2×D61—21no—
805C2×D61—21no—
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×C61C22×#4111yescharacteristic
825C4×C61#58511yescharacteristic
826Dic61—21no—
827Dic61—21no—
828Dic61—21no—
829Dic61—21no—
830Dic61—22no—
831Dic61—21no—
832Dic61—21no—
833Dic61—41no—
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#3178—611no—
858#3168—611no—
859#3121—611no—
860#3120—611no—
861#3119—611no—
862#3118—611no—
863#3111—611no—
864#3111D6111yescharacteristic, complemented
865#2966—611no—
866#2947—611no—
867#2946—611no—
868C4×#135—611no—
869C2×C61—42no—
870C2×C61—41no—
871C2×C61—81no—
872C2×C61D4×#4111yescharacteristic
873C2×C61#358411yescharacteristic
874C2×C61#358411yescharacteristic
875D61—41no—
876D61—41no—
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—611no—
908#542—1221no—
909#541—611no—
910#540—611no—
911#540—1221no—
912#539—1221no—
913#538—1221no—
914#529—611no—
915#529—611no—
916#529—1221no—
917#529—1221no—
918#529—1221no—
919#529C2×D6111yescharacteristic, complemented
920C2×#126—1221no—
921#520—611no—
922#520—611no—
923#519—611no—
924#518—611no—
925C4×#41—611no—
926C4×#41C2×D6111yescharacteristic
927#501—611no—
928#501—611no—
929#499—611no—
930#497—611no—
931#496—611no—
932#495—611no—
933#488—611no—
934#488—611no—
935#488—611no—
936#488—611no—
937#487—611no—
938#486—611no—
939#485—611no—
940#485—611no—
941#485—611no—
942#485C2×D6111yescharacteristic, complemented
943#484—611no—
944#483—611no—
945#482—611no—
946#482—611no—
947#482—611no—
948#482C2×D6111yescharacteristic, complemented
949#481—611no—
950#480—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#479C2×D6111yescharacteristic, complemented
955#478—611no—
956#478—611no—
957#478—611no—
958#478C2×D6111yescharacteristic
959#477—611no—
960#476—611no—
961#475—611no—
962#474—611no—
963#470—611no—
964#469—611no—
965#468—611no—
966#468—611no—
967#467—611no—
968#467—611no—
969#466—611no—
970#466—611no—
971#465—611no—
972#465—611no—
973#465—611no—
974#465—611no—
975#464—611no—
976#464—611no—
977#464—611no—
978#464C2×D6111yescharacteristic, complemented
979#463—611no—
980#463—611no—
981#463—611no—
982#463C2×D6111yescharacteristic
983#462—611no—
984#461—611no—
985#460—611no—
986#459—611no—
987#452—611no—
988#452—611no—
989#452—611no—
990#452C2×D6111yescharacteristic
991#451—611no—
992#450—611no—
993#449—611no—
994#449—611no—
995#449—611no—
996#449C2×D6111yescharacteristic
997#448—611no—
998#447—611no—
999#446—611no—
1000C8×Q8—611no—
1001#442—611no—
1002#442—611no—
1003#442C2×D6111yescharacteristic
1004#441—611no—
1005#441—611no—
1006#441C2×D6111yescharacteristic, complemented
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440C2×D6111yescharacteristic
1012#440C2×D6111yescharacteristic, complemented
1013C4×Q16—611no—
1014C4×Q16—611no—
1015C4×Q16—611no—
1016C4×Q16—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
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#432C2×D6111yescharacteristic, complemented
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#405—611no—
1049C2×C4×C8—611no—
1050C61#6150011yescharacteristic, complemented, Sylow
1051C2×#41—611no—
1052C2×#41—611no—
1053C2×#41—611no—
1054C2×#41C22×D6111yescharacteristic
1055C22×Q8—611no—
1056C22×D4—611no—
1057#137—1224no—
1058AGL(1,ℤ/8)—1224no—
1059#135—1224no—
1060C2×Q16—611no—
1061C2×Q16—611no—
1062C2×Q16—611no—
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×D8C22×D6111yescharacteristic
1076C2×M16—611no—
1077C2×M16—611no—
1078C22×C8—611no—
1079C22×C8—611no—
1080C22×C8—611no—
1081C22×C8—611no—
1082C4⋊Q8—611no—
1083C4⋊Q8—611no—
1084C4⋊Q8—611no—
1085C4⋊Q8—1221no—
1086#127—611no—
1087#127—1221no—
1088#126—21no—
1089#126—611no—
1090#126—611no—
1091#126—1221no—
1092#126—1221no—
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—611no—
1105#125—611no—
1106#125—611no—
1107#125—611no—
1108#125—1221no—
1109#125—1221no—
1110#125—1221no—
1111#125—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125C22×D6111yescharacteristic
1115#124—611no—
1116#124—611no—
1117#124—611no—
1118#124—611no—
1119#124—1221no—
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—611no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—611no—
1151C22⋊Q8—611no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
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—21no—
1198C4×D4—21no—
1199C4×D4—21no—
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—611no—
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×D4C22×D6111yescharacteristic
1226C4×D4C22×D6111yescharacteristic
1227C4×D4C22×D6111yescharacteristic
1228#117—21no—
1229#117—21no—
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—611no—
1234#117—611no—
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—21no—
1257C2×C42—1221no—
1258C2×C42C22×D6111yescharacteristic
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⋊C8C22×D6111yescharacteristic
1280C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1292#103—611no—
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#102C22×D6111yescharacteristic
1310#102C22×D6111yescharacteristic
1311#102C22×D6111yescharacteristic
1312#102C22×D6111yescharacteristic
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8—611no—
1317C22⋊C8C22×D6111yescharacteristic
1318C22⋊C8C22×D6111yescharacteristic
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×C8—611no—
1328C4×C8—611no—
1329C24—1221no—
1330#41—22no—
1331#41—41no—
1332#41—1222no—
1333#41—1222no—
1334#41—1222no—
1335#41—2441no—
1336#41—2441no—
1337#41—2441no—
1338C2×Q8—611no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—1221no—
1342C2×Q8—1221no—
1343C2×Q8—1221no—
1344C2×Q8—1222no—
1345C2×Q8—2441no—
1346C2×Q8C23×D6111yescharacteristic
1347C2×Q8C23×D6111yescharacteristic
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—611no—
1351C2×D4—611no—
1352C2×D4—611no—
1353C2×D4—611no—
1354C2×D4—611no—
1355C2×D4—1221no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—1221no—
1360C2×D4—1221no—
1361C2×D4—1222no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—2441no—
1368C2×D4C23×D6111yescharacteristic
1369C2×D4C23×D6111yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—611no—
1375C22×C4—611no—
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×C4D4×D6111yescharacteristic
1390C22×C4D4×D6111yescharacteristic
1391C22×C4C23×D6111yescharacteristic
1392Q16—41no—
1393Q16—1222no—
1394Q16—1222no—
1395Q16—1222no—
1396SD16—22no—
1397SD16—41no—
1398SD16—614no—
1399SD16—1222no—
1400SD16—1222no—
1401SD16—2441no—
1402SD16—2441no—
1403SD16—2441no—
1404D8—22no—
1405D8—1222no—
1406D8—1222no—
1407D8—2441no—
1408M16—1222no—
1409M16—1222no—
1410C2×C8—611no—
1411C2×C8—611no—
1412C2×C8—611no—
1413C2×C8—611no—
1414C2×C8—1222no—
1415C2×C8—2441no—
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—611no—
1429C4⋊C4—611no—
1430C4⋊C4—611no—
1431C4⋊C4—611no—
1432C4⋊C4—611no—
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—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
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⋊C4—1221no—
1465C4⋊C4—1221no—
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—21no—
1478C22⋊C4—611no—
1479C22⋊C4—611no—
1480C22⋊C4—611no—
1481C22⋊C4—611no—
1482C22⋊C4—611no—
1483C22⋊C4—611no—
1484C22⋊C4—611no—
1485C22⋊C4—611no—
1486C22⋊C4—611no—
1487C22⋊C4—611no—
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⋊C4—1221no—
1513C22⋊C4—1221no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—611no—
1519C42—611no—
1520C42—1221no—
1521C42—1221no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42D4×D6111yescharacteristic
1531C42D4×D6111yescharacteristic
1532C42C23×D6111yescharacteristic
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—611no—
1537C23—611no—
1538C23—1221no—
1539C23—1221no—
1540C23—4881no—
1541C23—4881no—
1542C23—2442no—
1543C23C2×D4×D6111yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—612no—
1549Q8—1221no—
1550Q8—1221no—
1551Q8—1221no—
1552Q8—4881no—
1553Q8—4881no—
1554Q8—2441no—
1555Q8—2442no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—42no—
1560D4—81no—
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—2441no—
1574D4—2441no—
1575D4—2442no—
1576D4—2442no—
1577D4—2442no—
1578D4—2442no—
1579D4#41×D6112yes—
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—41no—
1589C2×C4—41no—
1590C2×C4—42no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—81no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—611no—
1597C2×C4—611no—
1598C2×C4—611no—
1599C2×C4—611no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—1221no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—4881no—
1616C2×C4—4881no—
1617C2×C4—4881no—
1618C2×C4—4881no—
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—21no—
1633C8—612no—
1634C8—1221no—
1635C8—1221no—
1636C8—1221no—
1637C22—21no—
1638C22—22no—
1639C22—21no—
1640C22—21no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—1221no—
1647C22—1221no—
1648C22—1221no—
1649C22—1221no—
1650C22—1221no—
1651C22—1221no—
1652C22—9762no—
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—1221no—
1672C4—1221no—
1673C4—1222no—
1674C4—1221no—
1675C4—1221no—
1676C4—1221no—
1677C4—1221no—
1678C4—2441no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4—2441no—
1683C4C2×#41×D6111yescharacteristic
1684C4#1684059811yescharacteristic
1685C2—41no—
1686C2—42no—
1687C2—81no—
1688C2—4881no—
1689C2—4881no—
1690C2—2441no—
1691C2—2441no—
1692C2#2145930211yescharacteristic
1693C2#2146059211yescharacteristic
1694C2#2146059211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3111C2
socleC22×C61C23×D4
hypercenter#3111D61
hypocenterC61#61500
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #21459918C2semidirect
2. #21459887C2semidirect
3. #21458889C2semidirect
4. #21458768C2semidirect
5. #21458507C2semidirect
6. #21458474C2semidirect
7. #21458376C2semidirect
8. #21458347C2semidirect
9. #21458317C2semidirect
10. #21457756C2semidirect
11. #21457740C2semidirect
12. #21457724C2semidirect
13. #21457713C2semidirect
14. #21457666C2semidirect
15. #21457647C2semidirect
16. #21457456C2semidirect
17. #21457378C2semidirect
18. #21457363C2semidirect
19. #21456500C2semidirect
20. #21456493C2semidirect
21. #21456383C2semidirect
22. #21456052C2semidirect
23. #21456037C2semidirect
24. #21456022C2semidirect
25. #21456007C2semidirect
26. #21455930C2semidirect
27. #21454788C2semidirect
28. #21454659C2semidirect
29. #21454648C2semidirect
30. C4×#14519797C2semidirect
31. C61×#3111C2semidirect
36. #16840494C22semidirect
37. #16840489C22semidirect
40. #16840476C22semidirect
54. #16840422C22semidirect
64. #16840363C22semidirect
75. #16840238C22semidirect
77. C4×#11758222C22semidirect
78. #16840170C22semidirect
79. #16840169C22semidirect
80. #16840161C22semidirect
81. #16840155C22semidirect
86. #16840118C22semidirect
87. #16840116C22semidirect
88. #16840111C22semidirect
89. #16840107C22semidirect
90. #16840104C22semidirect
91. #16840102C22semidirect
98. #16840082C22semidirect
99. #16840074C22semidirect
100. #16840072C22semidirect
101. #16840070C22semidirect
102. #16840068C22semidirect
103. #16840064C22semidirect
104. #16840063C22semidirect
106. #16840055C22semidirect
108. #16840046C22semidirect
113. #16840011C22semidirect
114. #16840001C22semidirect
120. #16839989C22semidirect
121. #16839988C22semidirect
128. #16839971C22semidirect
129. #16839965C22semidirect
130. #16839961C22semidirect
132. #16839926C22semidirect
135. #16839916C22semidirect
142. #16839889C22semidirect
143. #16839886C22semidirect
146. #16839870C22semidirect
147. #16839866C22semidirect
149. #16839864C22semidirect
152. #16839856C22semidirect
153. C4×#11758202C22semidirect
154. C4×#11758202C22semidirect
155. C4×#11758202C22semidirect
158. C4×#11758201C22semidirect
159. C4×#11758201C22semidirect
163. C4×#11758200C22semidirect
170. #16839830C22semidirect
173. #16839825C22semidirect
175. #16839824C22semidirect
176. #16839803C22semidirect
178. #16839798C22semidirect
180. #16839756C22semidirect
183. #103×D61C22semidirect
186. #16839719C22semidirect
187. C2×C4×#92418C22semidirect
188. C61×#529C22semidirect
190. C61×#485C22semidirect
191. C61×#482C22semidirect
192. C61×#479C22semidirect
194. C61×#464C22semidirect
199. C61×#441C22semidirect
201. C61×#440C22semidirect
202. C61×#432C22semidirect
864. #3111D61semidirect
919. #529C2×D61semidirect
942. #485C2×D61semidirect
948. #482C2×D61semidirect
954. #479C2×D61semidirect
978. #464C2×D61semidirect
1006. #441C2×D61semidirect
1012. #440C2×D61semidirect
1037. #432C2×D61semidirect
1050. C61#61500semidirect

Maximal subgroups

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

subgroupindex
#214599182
#214598872
#214588892
#214587682
#214585072
#214584742
#214583762
#214583472
#214583172
#214577562
#214577402
#214577242
#214577132
#214576662
#214576472
#214574562
#214573782
#214573632
#214565002
#214564932
#214563832
#214560522
#214560372
#214560222
#214560072
#214559302
#214547882
#214546592
#214546482
C4×#145197972
C61×#31112
#6150061