Finite Group Databasebeta

← #30563022

Subgroups — #30563022

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#21459927C211yesmaximal, characteristic, complemented
2#21459894C211yesmaximal, characteristic, complemented
3#21458881C211yesmaximal, characteristic, complemented
4#21458770C211yesmaximal, characteristic, complemented
5#21458507C211yesmaximal, characteristic, complemented
6#21458482C211yesmaximal, characteristic, complemented
7#21458350C211yesmaximal, characteristic, complemented
8#21458320C211yesmaximal, characteristic, complemented
9#21457756C211yesmaximal, characteristic, complemented
10#21457745C211yesmaximal, characteristic, complemented
11#21457719C211yesmaximal, characteristic, complemented
12#21457700C211yesmaximal, characteristic, complemented
13#21457663C211yesmaximal, characteristic, complemented
14#21457652C211yesmaximal, characteristic, complemented
15#21457455C211yesmaximal, characteristic, complemented
16#21457381C211yesmaximal, characteristic, complemented
17#21457366C211yesmaximal, characteristic, complemented
18#21456495C211yesmaximal, characteristic, complemented
19#21456480C211yesmaximal, characteristic, complemented
20#21456391C211yesmaximal, characteristic, complemented
21#21456051C211yesmaximal, characteristic, complemented
22#21456036C211yesmaximal, characteristic, complemented
23#21456013C211yesmaximal, characteristic, complemented
24#21455998C211yesmaximal, characteristic, complemented
25#21455935C211yesmaximal, characteristic, complemented
26#21455933C211yesmaximal, characteristic, complemented
27#21454797C211yesmaximal, characteristic, complemented
28#21454660C211yesmaximal, characteristic, complemented
29#21454649C211yesmaximal, characteristic, complemented
30C4×#14519798C211yesmaximal, characteristic, complemented
31C61×#3351C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic
33C2×#14519805C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35#16840495—21no—
36#16840495C2211yescharacteristic, complemented
37#16840489C2211yescharacteristic, complemented
38#16840484C2211yescharacteristic
39#16840480C2211yescharacteristic
40#16840476—21no—
41#16840475C2211yescharacteristic, complemented
42#16840468C2211yescharacteristic
43#16840460C2211yescharacteristic
44#16840457—21no—
45#16840456—21no—
46#16840450—21no—
47#16840448—21no—
48#16840447C2211yescharacteristic
49#16840440—21no—
50#16840437—21no—
51#16840430C2211yescharacteristic
52#16840421C2211yescharacteristic
53#16840418C2211yescharacteristic, complemented
54#16840414C2211yescharacteristic
55#16840408C2211yescharacteristic
56#16840403C2211yescharacteristic
57#16840385C2211yescharacteristic
58#16840379C2211yescharacteristic
59#16840378—21no—
60#16840372C2211yescharacteristic
61#16840365C2211yescharacteristic, complemented
62#16840362—21no—
63#16840360—21no—
64#16840348—21no—
65#16840297C2211yescharacteristic
66#16840297C2211yescharacteristic, complemented
67#16840294C2211yescharacteristic
68#16840292—21no—
69#16840290—21no—
70#16840289—21no—
71#126×D61—21no—
72#16840243C2211yescharacteristic
73#16840243C2211yescharacteristic
74#16840239C2211yescharacteristic, complemented
75#16840236C2211yescharacteristic
76C4×#11758226C2211yescharacteristic
77C4×#11758224C2211yescharacteristic, complemented
78#16840170C2211yescharacteristic, complemented
79#16840170C2211yescharacteristic, complemented
80#16840153C2211yescharacteristic, complemented
81#16840148C2211yescharacteristic
82#16840146C2211yescharacteristic
83#16840119C2211yescharacteristic
84#16840119C2211yescharacteristic, complemented
85#16840118C2211yescharacteristic
86#16840115C2211yescharacteristic, complemented
87#16840111C2211yescharacteristic, complemented
88#16840107C2211yescharacteristic, complemented
89#16840106C2211yescharacteristic, complemented
90#16840105C2211yescharacteristic, complemented
91#16840103C2211yescharacteristic
92#16840097C2211yescharacteristic
93#16840089C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic
95#16840086C2211yescharacteristic
96#16840075C2211yescharacteristic, complemented
97#16840072C2211yescharacteristic, complemented
98#16840072C2211yescharacteristic, complemented
99#16840066C2211yescharacteristic, complemented
100#16840061C2211yescharacteristic
101#16840061C2211yescharacteristic, complemented
102#16840059C2211yescharacteristic
103#16840056C2211yescharacteristic, complemented
104#16840051C2211yescharacteristic
105#16840046C2211yescharacteristic, complemented
106#16840041C2211yescharacteristic
107#16840020C2211yescharacteristic
108#16840015C2211yescharacteristic
109#16840004C2211yescharacteristic, complemented
110#16840001C2211yescharacteristic
111#16839999C2211yescharacteristic
112#16839996C2211yescharacteristic
113#16839993C2211yescharacteristic, complemented
114#16839992C2211yescharacteristic
115#16839992C2211yescharacteristic, complemented
116#16839989C2211yescharacteristic
117#16839987C2211yescharacteristic
118#16839987C2211yescharacteristic
119#16839985C2211yescharacteristic
120#16839984C2211yescharacteristic, complemented
121#16839978C2211yescharacteristic
122#16839977C2211yescharacteristic
123#16839976C2211yescharacteristic
124#16839976C2211yescharacteristic
125#16839971C2211yescharacteristic, complemented
126#16839966C2211yescharacteristic, complemented
127#16839961C2211yescharacteristic, complemented
128#16839956C2211yescharacteristic
129#16839927C2211yescharacteristic
130#16839926C2211yescharacteristic
131#16839925C2211yescharacteristic, complemented
132#16839922C2211yescharacteristic
133#16839917C2211yescharacteristic, complemented
134#16839915C2211yescharacteristic
135#16839910C2211yescharacteristic
136#16839909C2211yescharacteristic
137#16839908C2211yescharacteristic
138#16839905C2211yescharacteristic
139#16839903C2211yescharacteristic
140#16839895C2211yescharacteristic
141#16839892C2211yescharacteristic, complemented
142#16839886C2211yescharacteristic, complemented
143#16839873C2211yescharacteristic
144#16839873C2211yescharacteristic
145#16839871C2211yescharacteristic
146#16839868C2211yescharacteristic, complemented
147#16839868C2211yescharacteristic, complemented
148#16839866C2211yescharacteristic, complemented
149#16839865C2211yescharacteristic, complemented
150#16839861C2211yescharacteristic
151#16839861C2211yescharacteristic
152#16839861C2211yescharacteristic
153#16839861C2211yescharacteristic
154#16839859C2211yescharacteristic, complemented
155#16839856C2211yescharacteristic, complemented
156#16839856C2211yescharacteristic, complemented
157C4×#11758202C2211yescharacteristic, complemented
158#16839854C2211yescharacteristic, complemented
159C4×#11758190C2211yescharacteristic
160SD16×Dic61C2211yescharacteristic, complemented
161#16839849C2211yescharacteristic
162#16839849C2211yescharacteristic
163#16839849C2211yescharacteristic
164#16839849C2211yescharacteristic
165#16839849C2211yescharacteristic, complemented
166#16839844C2211yescharacteristic
167#16839844C2211yescharacteristic
168C4×#11758199C2211yescharacteristic
169#16839842C2211yescharacteristic
170#16839831C2211yescharacteristic
171#16839831C2211yescharacteristic, complemented
172D4×#92418C2211yescharacteristic
173#16839825C2211yescharacteristic
174#16839825C2211yescharacteristic, complemented
175#16839820C2211yescharacteristic
176#16839820C2211yescharacteristic, complemented
177#16839818C2211yescharacteristic, complemented
178#16839797C2211yescharacteristic, complemented
179#16839757C2211yescharacteristic
180#16839756C2211yescharacteristic
181#16839756C2211yescharacteristic
182#16839755C2211yescharacteristic, complemented
183C2×#14519700C2211yescharacteristic, complemented
184C2×#14519697C2211yescharacteristic
185#16839720C2211yescharacteristic
186#16839720C2211yescharacteristic, complemented
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#553C2211yescharacteristic
189C61×#552C2211yescharacteristic
190C61×#499C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#483C2211yescharacteristic
193C61×#482C2211yescharacteristic
194C61×#481C2211yescharacteristic, complemented
195C61×#479C2211yescharacteristic, complemented
196C61×#478C2211yescharacteristic, complemented
197C61×#468C2211yescharacteristic
198C61×#468C2211yescharacteristic, complemented
199C4×SD16×C61C2211yescharacteristic, complemented
200C61×#436C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C61×#428C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C22×Dic122C2311yescharacteristic
208C22×D244C2311yescharacteristic
209#14519810—24no—
210#14519805—24no—
211#14519798—24no—
212C2×Dic244C2311yescharacteristic
213C2×Dic244C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758190C2311yescharacteristic
219C2×#11758190C2311yescharacteristic
220C2×#11758190C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223C2×D488C2311yescharacteristic
224C2×D488C2311yescharacteristic
225C2×#11758199C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227C22×#92418C2311yescharacteristic
228C22×#92418C2311yescharacteristic
229C2×C8×D61C2311yescharacteristic
230C2×C8×D61C2311yescharacteristic
231#14519776—21no—
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519775C2311yescharacteristic
235#14519773—21no—
236#14519773C2311yescharacteristic
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519772—21no—
242#14519772—21no—
243#14519771—21no—
244#14519771—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770—21no—
249#14519770D411yescharacteristic
250#14519770D411yescharacteristic
251#14519768—21no—
252#14519768D411yescharacteristic
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519766C2311yescharacteristic
260#14519765—21no—
261#14519765C2311yescharacteristic
262#14519765C2311yescharacteristic
263#14519764—21no—
264#14519764D411yescharacteristic
265#14519764C2311yescharacteristic
266#14519763—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#14519762—21no—
277#14519762—21no—
278#14519761—21no—
279#14519760—21no—
280#14519760—21no—
281#14519759—21no—
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759D411yescharacteristic
286#14519759D411yescharacteristic
287#14519758—21no—
288#14519757—21no—
289#14519757—21no—
290#14519757D411yescharacteristic
291#14519757C2311yescharacteristic
292#14519757C2311yescharacteristic
293#14519756C2311yescharacteristic
294#14519756C2311yescharacteristic
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519754—21no—
300#14519754—21no—
301#14519752—21no—
302#14519752C2311yescharacteristic
303#14519752C2311yescharacteristic
304#14519751—21no—
305#14519751C2311yescharacteristic
306#14519751C2311yescharacteristic
307#14519750—21no—
308#14519750—21no—
309#14519750—21no—
310#14519750—21no—
311#14519749—21no—
312#14519749—21no—
313#14519749—21no—
314#14519749—21no—
315#14519748—21no—
316#14519748D411yescharacteristic
317#14519747—21no—
318#14519745—21no—
319Q8×Dic61C2311yescharacteristic
320C4×Dic122—21no—
321C4×Dic122—21no—
322C4×Dic122—21no—
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325#14519742—21no—
326#14519742C2311yescharacteristic
327#14519742C2311yescharacteristic
328#14519742C2311yescharacteristic
329#14519742C2311yescharacteristic
330#14519742C2311yescharacteristic
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333C4×D244—21no—
334C4×D244—21no—
335C4×D244—21no—
336C4×D244C2311yescharacteristic
337D4×Dic61—21no—
338D4×Dic61C2311yescharacteristic
339#14519739—21no—
340#14519739—21no—
341#14519739—21no—
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61—21no—
352C4×C22⋊D61—21no—
353C4×C22⋊D61—21no—
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61C2311yescharacteristic
357C4×C22⋊D61C2311yescharacteristic
358#14519737—21no—
359#14519737—21no—
360#14519737—21no—
361#14519736—21no—
362#14519736C2311yescharacteristic
363#14519736C2311yescharacteristic
364#14519735—21no—
365#14519735—21no—
366#14519735—21no—
367#14519735—21no—
368#14519735—21no—
369#14519735C2311yescharacteristic
370#14519735C2311yescharacteristic
371#14519734—21no—
372#14519734—21no—
373#14519733—21no—
374#14519733—21no—
375#14519733—21no—
376C4⋊C4×D61—21no—
377C4⋊C4×D61—21no—
378C4⋊C4×D61—21no—
379C4⋊C4×D61—21no—
380C22⋊C4×D61—21no—
381C22⋊C4×D61—21no—
382C22⋊C4×D61—21no—
383C22⋊C4×D61—21no—
384C2×C4×Dic61—21no—
385C42×D61—21no—
386C42×D61C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519700C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519697C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425C22⋊#92418C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×M16×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441#126×C61—21no—
442#126×C61—21no—
443#125×C61—21no—
444#125×C61C2311yescharacteristic
445#125×C61C2311yescharacteristic
446#123×C61—21no—
447#123×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61—21no—
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×D4×C61—21no—
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457#117×C61—21no—
458#117×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461C2×C4⋊C4×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C23×D61—21no—
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61C2×D411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61C2411yescharacteristic
491C22×C4×C61C2411yescharacteristic
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61C2×D411yescharacteristic
500C2×C22⋊D61C2×D411yescharacteristic
501C22×Dic61—21no—
502C22×Dic61—21no—
503C22×Dic61—21no—
504#11758226—22no—
505#11758226—41no—
506#11758224—22no—
507#11758224—41no—
508#11758222—22no—
509#11758222—22no—
510#11758222—41no—
511#11758222—41no—
512C2×D244—22no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244—41no—
518C2×D244C2411yescharacteristic
519C2×D244C2411yescharacteristic
520C2×D244C2411yescharacteristic
521C2×C4×D61—21no—
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—21no—
531C2×C4×D61—21no—
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2411yescharacteristic
535C2×Dic122—22no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—41no—
540C2×Dic122C2×D411yescharacteristic
541C2×Dic122C2411yescharacteristic
542C2×Dic122C2411yescharacteristic
543C2×Dic122C2411yescharacteristic
544SD16×C61—22no—
545M16×C61—22no—
546M16×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×C61C2×D411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61C2×D411yescharacteristic
575C22⋊C4×C61C2×D411yescharacteristic
576C42×C61—21no—
577C42×C61—21no—
578C42×C61—21no—
579C42×C61C2411yescharacteristic
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61C2×D411yescharacteristic
586C22⋊Dic61C2×D411yescharacteristic
587C22⋊Dic61C2×D411yescharacteristic
588C22⋊Dic61C2×D411yescharacteristic
589C22⋊Dic61C2×D411yescharacteristic
590C22⋊Dic61C2×D411yescharacteristic
591#11758202—22no—
592#11758202—41no—
593#11758201—41no—
594#11758200—41no—
595#11758199—22no—
596#11758199—41no—
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#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198C2×D411yescharacteristic
620#11758198C2×D411yescharacteristic
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61C2×D411yescharacteristic
627C4⋊Dic61C2×D411yescharacteristic
628C4⋊Dic61C2×D411yescharacteristic
629C4⋊Dic61C2×D411yescharacteristic
630C4⋊Dic61C2×D411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61C2×D411yescharacteristic
665C4×Dic61C2×D411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C4×Dic61C2411yescharacteristic
668C4×Dic61C2411yescharacteristic
669C2×#92418—41no—
670C2×#92418—41no—
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673C2×#92418C2411yescharacteristic
674C2×#92418C2411yescharacteristic
675Dic244—22no—
676Dic244—22no—
677D488—22no—
678D488—22no—
679#11758190—22no—
680#11758190—22no—
681#11758190—41no—
682#11758190—41no—
683#11758190#4114yes—
684C8×D61—22no—
685C8×D61—41no—
686C23×C61—21no—
687C23×C61C22×D411yescharacteristic
688C23×C61C22×D411yescharacteristic
689C22×D61—21no—
690C22×D61—21no—
691C22×D61—21no—
692C22×D61—42no—
693C22×D61—81no—
694C22×D61—81no—
695C22×D61C22×D411yescharacteristic
696Q8×C61—21no—
697Q8×C61—21no—
698D4×C61—21no—
699D4×C61—21no—
700D4×C61—41no—
701D4×C61—81no—
702D4×C61—81no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
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—81no—
715C2×C4×C61—81no—
716C2×C4×C61—81no—
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—42no—
727C22⋊D61—81no—
728C22⋊D61—81no—
729C22⋊D61—81no—
730C22⋊D61—81no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—42no—
737C2×Dic61—42no—
738C2×Dic61—81no—
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746D244—21no—
747D244—21no—
748D244—21no—
749D244—21no—
750D244—21no—
751D244—42no—
752D244—42no—
753D244—81no—
754D244—81no—
755D244C2×#4112yes—
756C4×D61—21no—
757C4×D61—21no—
758C4×D61—41no—
759C4×D61—41no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767C4×D61—81no—
768C4×D61—81no—
769C4×D61—81no—
770C4×D61—81no—
771Dic122—21no—
772Dic122—21no—
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×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—21no—
794C22×C61—21no—
795C22×C61—21no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61C23×D411yescharacteristic
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—41no—
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—21no—
831Dic61—21no—
832Dic61—22no—
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#3351D6111yescharacteristic, complemented
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#3111—611no—
865#2966—611no—
866#2947—611no—
867#2946—611no—
868C4×#135—611no—
869C2×C61—41no—
870C2×C61—41no—
871C2×C61—81no—
872C2×C61D4×#4111yescharacteristic
873C2×C61#358411yescharacteristic
874C2×C61#358411yescharacteristic
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—1221no—
892#553—1221no—
893#553C2×D6111yescharacteristic
894#552—611no—
895#552—1221no—
896#552—1221no—
897#552C2×D6111yescharacteristic
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—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#501—611no—
929#499C2×D6111yescharacteristic, complemented
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#483C2×D6111yescharacteristic
945#482—611no—
946#482—611no—
947#482—611no—
948#482C2×D6111yescharacteristic
949#481C2×D6111yescharacteristic, complemented
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, complemented
959#477—611no—
960#476—611no—
961#475—611no—
962#474—611no—
963#470—611no—
964#469—611no—
965#468C2×D6111yescharacteristic
966#468C2×D6111yescharacteristic, complemented
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#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#441—611no—
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440—611no—
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×SD16C2×D6111yescharacteristic, complemented
1025C4×D8—611no—
1026C4×D8—611no—
1027C4×D8—611no—
1028C4×D8—611no—
1029#436C2×D6111yescharacteristic
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#428C2×D6111yescharacteristic
1039#428C2×D6111yescharacteristic, complemented
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×#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×Q16—611no—
1063C2×Q16—611no—
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16—611no—
1071C2×SD16C22×D6111yescharacteristic
1072C2×D8—611no—
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8—611no—
1076C2×M16C22×D6111yescharacteristic
1077C2×M16C22×D6111yescharacteristic
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—21no—
1090#126—611no—
1091#126—611no—
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—21no—
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#125C22×D6111yescharacteristic
1114#125C22×D6111yescharacteristic
1115#124—611no—
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#124—1221no—
1128#123—21no—
1129#123—21no—
1130#123—611no—
1131#123—611no—
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—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8C22×D6111yescharacteristic
1160C22⋊Q8C22×D6111yescharacteristic
1161#121—21no—
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#121C22×D6111yescharacteristic
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—611no—
1191C4×Q8—611no—
1192C4×Q8—1221no—
1193C4×Q8—1221no—
1194C4×Q8—1221no—
1195C4×Q8—1221no—
1196C4×Q8C22×D6111yescharacteristic
1197C4×D4—21no—
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×D4C22×D6111yescharacteristic
1227C4×D4C22×D6111yescharacteristic
1228#117—21no—
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#117C22×D6111yescharacteristic
1245#117C22×D6111yescharacteristic
1246C2×C4⋊C4—1221no—
1247C2×C4⋊C4—1221no—
1248C2×C4⋊C4—1221no—
1249C2×C4⋊C4—1221no—
1250C2×C4⋊C4C22×D6111yescharacteristic
1251C2×C4⋊C4C22×D6111yescharacteristic
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#107C22×D6111yescharacteristic
1264#107C22×D6111yescharacteristic
1265#107C22×D6111yescharacteristic
1266#107C22×D6111yescharacteristic
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106C22×D6111yescharacteristic
1271#106C22×D6111yescharacteristic
1272#106C22×D6111yescharacteristic
1273#106C22×D6111yescharacteristic
1274#106C22×D6111yescharacteristic
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—611no—
1279C4⋊C8—611no—
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#103—611no—
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#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#97—611no—
1322#97—611no—
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8—611no—
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—611no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—611no—
1342C2×Q8—1221no—
1343C2×Q8—1221no—
1344C2×Q8—1222no—
1345C2×Q8—1221no—
1346C2×Q8—2441no—
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—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—2441no—
1368C2×D4D4×D6111yescharacteristic
1369C2×D4C23×D6111yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—611no—
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×C4—1221no—
1390C22×C4C23×D6111yescharacteristic
1391C22×C4C23×D6111yescharacteristic
1392Q16—1222no—
1393Q16—1222no—
1394Q16—1222no—
1395Q16—2441no—
1396SD16—22no—
1397SD16—614no—
1398SD16—1222no—
1399SD16—1222no—
1400SD16—2441no—
1401SD16—2441no—
1402SD16—2441no—
1403SD16—2441no—
1404D8—1222no—
1405D8—1222no—
1406D8—1222no—
1407D8—2441no—
1408M16—22no—
1409M16—22no—
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—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
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⋊C4D4×D6111yescharacteristic
1464C4⋊C4C23×D6111yescharacteristic
1465C4⋊C4C23×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—611no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—611no—
1536C23—1221no—
1537C23—1221no—
1538C23—1221no—
1539C23—4881no—
1540C23—4881no—
1541C23—2442no—
1542C23C2×D4×D6111yescharacteristic
1543C23C2×D4×D6111yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—612no—
1547Q8—1221no—
1548Q8—1221no—
1549Q8—1221no—
1550Q8—1221no—
1551Q8—1221no—
1552Q8—4881no—
1553Q8—4881no—
1554Q8—2441no—
1555Q8—2442no—
1556D4—21no—
1557D4—21no—
1558D4—41no—
1559D4—81no—
1560D4—81no—
1561D4—612no—
1562D4—1221no—
1563D4—1221no—
1564D4—1221no—
1565D4—1221no—
1566D4—1221no—
1567D4—4881no—
1568D4—4881no—
1569D4—4881no—
1570D4—4881no—
1571D4—4881no—
1572D4—4881no—
1573D4—2442no—
1574D4—2442no—
1575D4—2441no—
1576D4—2441no—
1577D4—2442no—
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—21no—
1590C2×C4—21no—
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—611no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
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—4881no—
1617C2×C4—2441no—
1618C2×C4—2441no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4—2442no—
1622C2×C4—2442no—
1623C2×C4—2442no—
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—21no—
1641C22—21no—
1642C22—21no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—1221no—
1647C22—1222no—
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—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—1221no—
1672C4—1222no—
1673C4—1221no—
1674C4—1221no—
1675C4—1221no—
1676C4—1221no—
1677C4—1221no—
1678C4—1221no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4—2441no—
1683C4C2×#41×D6111yescharacteristic
1684C4#1684059911yescharacteristic
1685C2—41no—
1686C2—41no—
1687C2—81no—
1688C2—4881no—
1689C2—4881no—
1690C2—2441no—
1691C2—2442no—
1692C2#2145930611yescharacteristic
1693C2#2146059111yescharacteristic
1694C2#2146059211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3351C2
socleC22×C61C23×D4
hypercenter#3351D61
hypocenterC61#61500
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
1. #21459927C2semidirect
2. #21459894C2semidirect
3. #21458881C2semidirect
4. #21458770C2semidirect
5. #21458507C2semidirect
6. #21458482C2semidirect
7. #21458350C2semidirect
8. #21458320C2semidirect
9. #21457756C2semidirect
10. #21457745C2semidirect
11. #21457719C2semidirect
12. #21457700C2semidirect
13. #21457663C2semidirect
14. #21457652C2semidirect
15. #21457455C2semidirect
16. #21457381C2semidirect
17. #21457366C2semidirect
18. #21456495C2semidirect
19. #21456480C2semidirect
20. #21456391C2semidirect
21. #21456051C2semidirect
22. #21456036C2semidirect
23. #21456013C2semidirect
24. #21455998C2semidirect
25. #21455935C2semidirect
26. #21455933C2semidirect
27. #21454797C2semidirect
28. #21454660C2semidirect
29. #21454649C2semidirect
30. C4×#14519798C2semidirect
31. C61×#3351C2semidirect
36. #16840495C22semidirect
37. #16840489C22semidirect
41. #16840475C22semidirect
53. #16840418C22semidirect
61. #16840365C22semidirect
66. #16840297C22semidirect
74. #16840239C22semidirect
77. C4×#11758224C22semidirect
78. #16840170C22semidirect
79. #16840170C22semidirect
80. #16840153C22semidirect
84. #16840119C22semidirect
86. #16840115C22semidirect
87. #16840111C22semidirect
88. #16840107C22semidirect
89. #16840106C22semidirect
90. #16840105C22semidirect
93. #16840089C22semidirect
96. #16840075C22semidirect
97. #16840072C22semidirect
98. #16840072C22semidirect
99. #16840066C22semidirect
101. #16840061C22semidirect
103. #16840056C22semidirect
105. #16840046C22semidirect
109. #16840004C22semidirect
113. #16839993C22semidirect
115. #16839992C22semidirect
120. #16839984C22semidirect
125. #16839971C22semidirect
126. #16839966C22semidirect
127. #16839961C22semidirect
131. #16839925C22semidirect
133. #16839917C22semidirect
141. #16839892C22semidirect
142. #16839886C22semidirect
146. #16839868C22semidirect
147. #16839868C22semidirect
148. #16839866C22semidirect
149. #16839865C22semidirect
154. #16839859C22semidirect
155. #16839856C22semidirect
156. #16839856C22semidirect
157. C4×#11758202C22semidirect
158. #16839854C22semidirect
160. SD16×Dic61C22semidirect
165. #16839849C22semidirect
171. #16839831C22semidirect
174. #16839825C22semidirect
176. #16839820C22semidirect
177. #16839818C22semidirect
178. #16839797C22semidirect
182. #16839755C22semidirect
183. C2×#14519700C22semidirect
186. #16839720C22semidirect
187. C4×C8×D61C22semidirect
190. C61×#499C22semidirect
191. C61×#485C22semidirect
194. C61×#481C22semidirect
195. C61×#479C22semidirect
196. C61×#478C22semidirect
198. C61×#468C22semidirect
199. C4×SD16×C61C22semidirect
202. C61×#428C22semidirect
844. #3351D61semidirect
929. #499C2×D61semidirect
942. #485C2×D61semidirect
949. #481C2×D61semidirect
954. #479C2×D61semidirect
958. #478C2×D61semidirect
966. #468C2×D61semidirect
1024. C4×SD16C2×D61semidirect
1039. #428C2×D61semidirect
1050. C61#61500semidirect

Maximal subgroups

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

subgroupindex
#214599272
#214598942
#214588812
#214587702
#214585072
#214584822
#214583502
#214583202
#214577562
#214577452
#214577192
#214577002
#214576632
#214576522
#214574552
#214573812
#214573662
#214564952
#214564802
#214563912
#214560512
#214560362
#214560132
#214559982
#214559352
#214559332
#214547972
#214546602
#214546492
C4×#145197982
C61×#33512
#6150061