Finite Group Databasebeta

← #30573482

Subgroups — #30573482

Order 15616.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460399C211yesmaximal, characteristic, complemented
2#21459828C211yesmaximal, characteristic, complemented
3#21458893C211yesmaximal, characteristic, complemented
4#21458892C211yesmaximal, characteristic, complemented
5#21458636C211yesmaximal, characteristic, complemented
6#21458562C211yesmaximal, characteristic, complemented
7#21458002C211yesmaximal, characteristic, complemented
8#21457972C211yesmaximal, characteristic, complemented
9#21457891C211yesmaximal, characteristic, complemented
10#21457861C211yesmaximal, characteristic, complemented
11#21457753C211yesmaximal, characteristic, complemented
12#21457731C211yesmaximal, characteristic, complemented
13#21457563C211yesmaximal, characteristic, complemented
14#21457533C211yesmaximal, characteristic, complemented
15#21457401C211yesmaximal, characteristic, complemented
16#21457395C211yesmaximal, characteristic, complemented
17#21457371C211yesmaximal, characteristic, complemented
18#21457335C211yesmaximal, characteristic, complemented
19#21457251C211yesmaximal, characteristic, complemented
20#21457236C211yesmaximal, characteristic, complemented
21#21456933C211yesmaximal, characteristic, complemented
22#21456920C211yesmaximal, characteristic, complemented
23#21456826C211yesmaximal, characteristic, complemented
24#21456121C211yesmaximal, characteristic, complemented
25#21456112C211yesmaximal, characteristic, complemented
26#21455922C211yesmaximal, characteristic, complemented
27#21455347C211yesmaximal, characteristic, complemented
28#21455338C211yesmaximal, characteristic, complemented
29#21455276C211yesmaximal, characteristic, complemented
30#21454955C211yesmaximal, characteristic, complemented
31C61×#3248C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C2×#14519799C2211yescharacteristic
35C2×#14519799C2211yescharacteristic, complemented
36C2×Q16×D61C2211yescharacteristic, complemented
37C2×SD16×D61C2211yescharacteristic
38#16840509—21no—
39#16840502—21no—
40#16840495C2211yescharacteristic
41#16840492C2211yescharacteristic, complemented
42#16840486C2211yescharacteristic, complemented
43#16840484—21no—
44#16840484—21no—
45#16840484C2211yescharacteristic
46#16840483C2211yescharacteristic
47#16840483C2211yescharacteristic, complemented
48#16840480—21no—
49#16840478C2211yescharacteristic
50#16840475—21no—
51#16840456—21no—
52#16840436—21no—
53#16840430C2211yescharacteristic
54#16840427C2211yescharacteristic
55#16840424C2211yescharacteristic
56#16840422C2211yescharacteristic
57#16840422C2211yescharacteristic
58#16840422C2211yescharacteristic, complemented
59#16840414C2211yescharacteristic
60#16840409C2211yescharacteristic
61#16840407C2211yescharacteristic
62#16840384C2211yescharacteristic
63#16840384C2211yescharacteristic, complemented
64#16840382—21no—
65#16840382—21no—
66#16840375C2211yescharacteristic
67#16840368C2211yescharacteristic
68#16840363—21no—
69#16840353—21no—
70#16840351—21no—
71#16840345—21no—
72#16840332C2211yescharacteristic
73#16840330C2211yescharacteristic
74#16840318—21no—
75#16840312C2211yescharacteristic
76#16840297—21no—
77#16840296C2211yescharacteristic
78#16840238C2211yescharacteristic
79#16840238C2211yescharacteristic, complemented
80C4×#11758222C2211yescharacteristic, complemented
81#16840155C2211yescharacteristic, complemented
82#16840154C2211yescharacteristic
83#16840154C2211yescharacteristic, complemented
84#16840148C2211yescharacteristic
85#16840147C2211yescharacteristic
86#16840143C2211yescharacteristic
87#16840124C2211yescharacteristic
88#16840124C2211yescharacteristic, complemented
89#16840123C2211yescharacteristic
90#16840120C2211yescharacteristic
91#16840111C2211yescharacteristic, complemented
92#16840107C2211yescharacteristic
93#16840106C2211yescharacteristic
94#16840105C2211yescharacteristic
95#16840100C2211yescharacteristic, complemented
96#16840089C2211yescharacteristic
97#16840088C2211yescharacteristic, complemented
98#16840083C2211yescharacteristic
99#16840066C2211yescharacteristic, complemented
100#16840059C2211yescharacteristic, complemented
101#16840056C2211yescharacteristic, complemented
102#16840051C2211yescharacteristic
103#16840046C2211yescharacteristic, complemented
104#16840041C2211yescharacteristic, complemented
105#16840019C2211yescharacteristic
106#16840016C2211yescharacteristic, complemented
107#16840011C2211yescharacteristic
108#16840009C2211yescharacteristic
109#16840002C2211yescharacteristic
110#16839999C2211yescharacteristic
111#16839994C2211yescharacteristic, complemented
112#16839992C2211yescharacteristic
113#16839987C2211yescharacteristic
114#16839987C2211yescharacteristic, complemented
115#16839987C2211yescharacteristic, complemented
116#16839986C2211yescharacteristic
117#16839985C2211yescharacteristic
118#16839985C2211yescharacteristic, complemented
119#16839983C2211yescharacteristic
120#16839982C2211yescharacteristic
121#16839981C2211yescharacteristic
122#16839980C2211yescharacteristic
123#16839980C2211yescharacteristic, complemented
124#16839978C2211yescharacteristic
125#16839978C2211yescharacteristic, complemented
126#16839974C2211yescharacteristic
127#16839973C2211yescharacteristic, complemented
128#16839972C2211yescharacteristic, complemented
129#16839972C2211yescharacteristic, complemented
130#16839971C2211yescharacteristic, complemented
131#16839970C2211yescharacteristic, complemented
132#16839968C2211yescharacteristic, complemented
133#16839963C2211yescharacteristic
134#16839962C2211yescharacteristic
135#16839962C2211yescharacteristic
136#16839961C2211yescharacteristic
137#16839960C2211yescharacteristic
138#16839958C2211yescharacteristic
139#16839923C2211yescharacteristic
140#16839922C2211yescharacteristic
141#16839922C2211yescharacteristic
142#16839922C2211yescharacteristic, complemented
143#16839922C2211yescharacteristic, complemented
144#16839922C2211yescharacteristic, complemented
145#16839921C2211yescharacteristic
146#16839919C2211yescharacteristic
147#16839919C2211yescharacteristic
148#16839916C2211yescharacteristic, complemented
149#16839911C2211yescharacteristic
150#16839910C2211yescharacteristic
151#16839908C2211yescharacteristic
152#16839905C2211yescharacteristic
153#16839902C2211yescharacteristic
154#16839902C2211yescharacteristic, complemented
155#16839902C2211yescharacteristic, complemented
156#16839897C2211yescharacteristic
157#16839891C2211yescharacteristic, complemented
158#16839891C2211yescharacteristic, complemented
159#16839872C2211yescharacteristic
160#16839868C2211yescharacteristic, complemented
161#16839867C2211yescharacteristic, complemented
162#16839866C2211yescharacteristic, complemented
163#16839865C2211yescharacteristic
164#16839862C2211yescharacteristic
165#16839861C2211yescharacteristic, complemented
166#16839860C2211yescharacteristic, complemented
167#16839856C2211yescharacteristic, complemented
168#16839854C2211yescharacteristic, complemented
169#16839849C2211yescharacteristic
170#16839847C2211yescharacteristic, complemented
171#16839833C2211yescharacteristic
172#16839833C2211yescharacteristic, complemented
173#16839832C2211yescharacteristic
174#16839832C2211yescharacteristic
175C8×C22⋊D61C2211yescharacteristic
176C8×C22⋊D61C2211yescharacteristic, complemented
177#16839822C2211yescharacteristic
178#16839822C2211yescharacteristic, complemented
179#16839819C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic
181#16839787C2211yescharacteristic, complemented
182#16839769C2211yescharacteristic, complemented
183#16839765C2211yescharacteristic
184#16839759C2211yescharacteristic
185#16839759C2211yescharacteristic, complemented
186#16839757C2211yescharacteristic
187#16839755C2211yescharacteristic
188C61×#533C2211yescharacteristic, complemented
189C61×#529C2211yescharacteristic
190C61×#479C2211yescharacteristic, complemented
191C61×#479C2211yescharacteristic, complemented
192C61×#475C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic
194C61×#467C2211yescharacteristic, complemented
195C61×#467C2211yescharacteristic, complemented
196C61×#465C2211yescharacteristic
197C61×#465C2211yescharacteristic
198C61×#464C2211yescharacteristic
199C61×#464C2211yescharacteristic
200C61×#462C2211yescharacteristic, complemented
201C61×#461C2211yescharacteristic
202C2×C4⋊C8×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758224C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211C2×D4×D61C2311yescharacteristic
212#14519809—42no—
213#14519806—42no—
214#14519799—42no—
215#14519799—42no—
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223Q16×D61—42no—
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234SD16×D61—42no—
235C2×D488C2311yescharacteristic
236C2×D488C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758189C2311yescharacteristic
239C2×#11758189C2311yescharacteristic
240C2×C8×D61C2311yescharacteristic
241C2×C8×D61C2311yescharacteristic
242#14519777C2311yescharacteristic
243#14519776—21no—
244#14519776—21no—
245#14519776C2311yescharacteristic
246#14519776C2311yescharacteristic
247#14519775—21no—
248#14519775—21no—
249#14519775C2311yescharacteristic
250#14519774C2311yescharacteristic
251#14519773—21no—
252#14519773C2311yescharacteristic
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519772—21no—
259#14519772—21no—
260#14519771—21no—
261#14519771—21no—
262#14519771—21no—
263#14519771D411yescharacteristic
264#14519771D411yescharacteristic
265#14519770—21no—
266#14519770—21no—
267#14519769D411yescharacteristic
268#14519768—21no—
269#14519768—21no—
270#14519766—21no—
271#14519766—21no—
272#14519766C2311yescharacteristic
273#14519766C2311yescharacteristic
274#14519766C2311yescharacteristic
275#14519765—21no—
276#14519765—21no—
277#14519765—21no—
278#14519765D411yescharacteristic
279#14519765C2311yescharacteristic
280#14519765C2311yescharacteristic
281#14519764C2311yescharacteristic
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519763—21no—
286#14519763—21no—
287#14519763—21no—
288#14519762—21no—
289#14519762—21no—
290#14519762—21no—
291#14519762—21no—
292#14519762—21no—
293#14519761—21no—
294#14519760—21no—
295#14519760D411yescharacteristic
296#14519760D411yescharacteristic
297#14519759—21no—
298#14519759—21no—
299#14519759—21no—
300#14519759—21no—
301#14519759—21no—
302#14519757—21no—
303#14519757—21no—
304#14519757C2311yescharacteristic
305#14519757C2311yescharacteristic
306#14519756D411yescharacteristic
307#14519755—21no—
308#14519755—21no—
309#14519755—21no—
310#14519755—21no—
311#14519755—21no—
312#14519755—21no—
313#14519755—21no—
314#14519755—21no—
315#14519754—21no—
316#14519754—21no—
317#14519753C2311yescharacteristic
318#14519753C2311yescharacteristic
319#14519752—21no—
320#14519752—21no—
321#14519752—21no—
322#14519752—21no—
323#14519752C2311yescharacteristic
324#14519752C2311yescharacteristic
325#14519752C2311yescharacteristic
326#14519752C2311yescharacteristic
327#14519751—21no—
328#14519751—21no—
329#14519751—21no—
330#14519751D411yescharacteristic
331#14519750—21no—
332#14519750—21no—
333#14519750—21no—
334#14519750—21no—
335#14519750—21no—
336#14519750—21no—
337#14519750—21no—
338#14519749—21no—
339#14519748—21no—
340#14519747—21no—
341#14519747—21no—
342#14519747—21no—
343#14519745—21no—
344Q8×Dic61C2311yescharacteristic
345Q8×Dic61C2311yescharacteristic
346C4×Dic122—21no—
347C4×Dic122—21no—
348C4×Dic122C2311yescharacteristic
349C4×Dic122C2311yescharacteristic
350C4×Dic122C2311yescharacteristic
351#14519742—21no—
352#14519742—21no—
353#14519742—21no—
354#14519742—21no—
355#14519742—21no—
356#14519742C2311yescharacteristic
357#14519742C2311yescharacteristic
358#14519742C2311yescharacteristic
359#14519742C2311yescharacteristic
360C4×D244—21no—
361C4×D244—21no—
362C4×D244—21no—
363C4×D244C2311yescharacteristic
364C4×D244C2311yescharacteristic
365C4×D244C2311yescharacteristic
366#14519739—21no—
367#14519739—21no—
368#14519739—21no—
369#14519739—21no—
370#14519739C2311yescharacteristic
371#14519739C2311yescharacteristic
372C4×C22⋊D61—21no—
373C4×C22⋊D61—21no—
374C4×C22⋊D61—21no—
375C4×C22⋊D61C2311yescharacteristic
376C4×C22⋊D61C2311yescharacteristic
377#14519737—21no—
378#14519736C2311yescharacteristic
379#14519735—21no—
380#14519735—21no—
381#14519735—21no—
382#14519735—21no—
383#14519735C2311yescharacteristic
384#14519735C2311yescharacteristic
385#14519734—21no—
386#14519734—21no—
387#14519734—21no—
388#14519734—21no—
389#14519734C2311yescharacteristic
390#14519734C2311yescharacteristic
391C4⋊C4×D61—21no—
392C2×#11758198—21no—
393C22⋊C4×D61—21no—
394C42×D61—21no—
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429C22⋊#92418C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519688C2311yescharacteristic
436#14519688C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×Q16×C61C2311yescharacteristic
442C2×Q16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C22×C8×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C4⋊Q8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449#126×C61—21no—
450#125×C61—21no—
451#125×C61C2311yescharacteristic
452#124×C61C2311yescharacteristic
453#123×C61—21no—
454C22⋊Q8×C61—21no—
455C22⋊Q8×C61C2311yescharacteristic
456C22⋊Q8×C61C2311yescharacteristic
457C22⋊Q8×C61C2311yescharacteristic
458#121×C61C2311yescharacteristic
459C4×Q8×C61—21no—
460C4×Q8×C61C2311yescharacteristic
461C4×Q8×C61C2311yescharacteristic
462C4×Q8×C61C2311yescharacteristic
463C4×D4×C61—21no—
464C4×D4×C61C2311yescharacteristic
465#117×C61—21no—
466#117×C61—21no—
467C2×C42×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#107×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472C4⋊C8×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475C4⋊C8×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C23×D61—21no—
485C2×Q8×C61—21no—
486C2×Q8×C61C2411yescharacteristic
487C2×Q8×C61C2411yescharacteristic
488C2×Q8×C61C2411yescharacteristic
489C2×D4×C61—21no—
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61C2×D411yescharacteristic
493C22×C4×C61C2×D411yescharacteristic
494C22×C4×C61C2411yescharacteristic
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61C2×D411yescharacteristic
503C2×C22⋊D61C2×D411yescharacteristic
504C22×Dic61—21no—
505#11758226—41no—
506#11758226—41no—
507Q8×D61—22no—
508Q8×D61—22no—
509Q8×D61—41no—
510Q8×D61—41no—
511Q8×D61—41no—
512Q8×D61—41no—
513#11758224—41no—
514#11758224—41no—
515D4×D61—41no—
516D4×D61—41no—
517#11758222—22no—
518#11758222—41no—
519#11758222—41no—
520#11758222—41no—
521#11758222—41no—
522#11758222—41no—
523C2×D244—21no—
524C2×D244—21no—
525C2×D244—21no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244—21no—
530C2×D244C2×D411yescharacteristic
531C2×D244C2411yescharacteristic
532C2×D244C2411yescharacteristic
533C2×D244C2411yescharacteristic
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61C2411yescharacteristic
546C2×C4×D61C2411yescharacteristic
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122C2×D411yescharacteristic
553C2×Dic122C2411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556Q16×C61—41no—
557Q16×C61—41no—
558SD16×C61—41no—
559SD16×C61—41no—
560C2×C8×C61—41no—
561C2×C8×C61—41no—
562C2×C8×C61C2411yescharacteristic
563C2×C8×C61C2411yescharacteristic
564C2×C8×C61C2411yescharacteristic
565C2×C8×C61C2411yescharacteristic
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61C2411yescharacteristic
578C4⋊C4×C61C2411yescharacteristic
579C4⋊C4×C61C2411yescharacteristic
580C4⋊C4×C61C2411yescharacteristic
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C42×C61—21no—
589C42×C61—21no—
590C42×C61—21no—
591C42×C61C2×D411yescharacteristic
592C42×C61C2×D411yescharacteristic
593C42×C61C2411yescharacteristic
594C42×C61C2411yescharacteristic
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61C2×D411yescharacteristic
599C22⋊Dic61C2×D411yescharacteristic
600#11758202—22no—
601#11758202—41no—
602#11758202—41no—
603#11758202—41no—
604#11758202—41no—
605#11758201—41no—
606#11758201—41no—
607#11758201—41no—
608#11758201—41no—
609#11758201—41no—
610#11758200—22no—
611#11758199—41no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198C2×D411yescharacteristic
637#11758198C2×D411yescharacteristic
638#11758198C2×D411yescharacteristic
639#11758198C2×D411yescharacteristic
640#11758198C2×D411yescharacteristic
641#11758198C2×D411yescharacteristic
642#11758198C2×D411yescharacteristic
643#11758198C2×D411yescharacteristic
644C4⋊Dic61—21no—
645C4⋊Dic61—21no—
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61C2×D411yescharacteristic
651C4⋊Dic61C2×D411yescharacteristic
652C4⋊Dic61C2411yescharacteristic
653C4⋊Dic61C2411yescharacteristic
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61C2411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C2×#92418C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691Dic244—22no—
692Dic244—22no—
693D488—41no—
694D488—41no—
695#11758190—22no—
696#11758190—22no—
697#11758190—41no—
698#11758190—41no—
699#11758189—41no—
700#11758189—41no—
701C8×D61—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61C22×D411yescharacteristic
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—81no—
709C22×D61—81no—
710C22×D61—81no—
711C22×D61C22×D411yescharacteristic
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61—21no—
719Q8×C61—81no—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—81no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—41no—
733C2×C4×C61—41no—
734C2×C4×C61—81no—
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C22×D411yescharacteristic
740C2×C4×C61C2511yescharacteristic
741C22⋊D61—41no—
742C22⋊D61—41no—
743C22⋊D61—42no—
744C22⋊D61—81no—
745C22⋊D61—81no—
746C22⋊D61—81no—
747C22⋊D61—81no—
748C22⋊D61—81no—
749C22⋊D61—81no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—81no—
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762D244—21no—
763D244—21no—
764D244—21no—
765D244—21no—
766D244—21no—
767D244—21no—
768D244—41no—
769D244—81no—
770D244—81no—
771D244—81no—
772D244—81no—
773D244—81no—
774D244—81no—
775D244—81no—
776C4×D61—21no—
777C4×D61—21no—
778C4×D61—21no—
779C4×D61—21no—
780C4×D61—42no—
781C4×D61—42no—
782C4×D61—42no—
783C4×D61—42no—
784C4×D61—81no—
785C4×D61—81no—
786C4×D61—81no—
787C4×D61—81no—
788C4×D61—81no—
789C4×D61—81no—
790C4×D61—81no—
791Dic122—21no—
792Dic122—21no—
793Dic122—21no—
794Dic122—21no—
795Dic122—21no—
796Dic122—41no—
797Dic122—42no—
798Dic122—42no—
799Dic122—81no—
800Dic122—81no—
801Dic122—81no—
802Dic122H(5,𝔽2)12yes—
803C8×C61—21no—
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807#92418—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#62013—611nomaximal, Sylow
812C22×C61—21no—
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61C23×D411yescharacteristic
819C2×D61—21no—
820C2×D61—21no—
821C2×D61—21no—
822C2×D61—21no—
823C2×D61—21no—
824C2×D61—21no—
825C2×D61—41no—
826C2×D61—41no—
827C2×D61—41no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—162no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61—21no—
840C4×C61—41no—
841C4×C61—41no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61—41no—
845C4×C61—41no—
846C4×C61—41no—
847C4×C61C2×H(5,𝔽2)11yescharacteristic
848C4×C61#58511yescharacteristic
849Dic61—21no—
850Dic61—21no—
851Dic61—21no—
852Dic61—21no—
853Dic61—22no—
854Dic61—21no—
855Dic61—21no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860#3562—611no—
861#3518—611no—
862#3402—611no—
863#3401—611no—
864#3375—611no—
865#3369—611no—
866#3321—611no—
867#3319—611no—
868#3313—611no—
869#3311—611no—
870#3304—611no—
871#3302—611no—
872#3285—611no—
873#3282—611no—
874#3271—611no—
875#3270—611no—
876#3269—611no—
877#3266—611no—
878#3258—611no—
879#3257—611no—
880#3248D6111yescharacteristic, complemented
881#3225—611no—
882#3224—611no—
883#3216—611no—
884#3127—611no—
885#3126—611no—
886#3111—611no—
887#3044—611no—
888#3043—611no—
889#3035—611no—
890#2992—611no—
891C2×C61—41no—
892C2×C61—81no—
893C2×C61#348811yescharacteristic
894C2×C61#358411yescharacteristic
895C2×C61#358611yescharacteristic
896D61—41no—
897D61—41no—
898D61—81no—
899D61—81no—
900D61—81no—
901C2×#137—611no—
902C2×#137—611no—
903C2×#135—611no—
904C2×#135—611no—
905C22×Q16—611no—
906C22×SD16—611no—
907#562—1221no—
908#560—1221no—
909#559—611no—
910Q82—611no—
911#556—611no—
912#556—611no—
913#556—611no—
914#556—611no—
915#556—1221no—
916#556—1221no—
917#556—1221no—
918#555—611no—
919#555—1221no—
920#553—1221no—
921#551—1221no—
922#550—611no—
923D4×Q8—611no—
924#548—611no—
925#548—611no—
926#548—611no—
927#548—611no—
928#547—611no—
929#546—611no—
930#546—611no—
931#542—611no—
932#542—611no—
933#542—1221no—
934#542—1221no—
935#541—611no—
936#540—611no—
937#540—1221no—
938#539—1221no—
939#538—1221no—
940#538—1221no—
941#536—611no—
942#535—611no—
943#533—1221no—
944#533C2×D6111yescharacteristic, complemented
945#532—611no—
946#529—611no—
947#529—1221no—
948#529C2×D6111yescharacteristic
949#519—611no—
950#519—611no—
951C4×#41—611no—
952#497—611no—
953#497—611no—
954#497—611no—
955#496—611no—
956#495—611no—
957#495—611no—
958#489—611no—
959#489—611no—
960#489—611no—
961#489—611no—
962#487—611no—
963#486—611no—
964#485—611no—
965#485—611no—
966#485—611no—
967#482—611no—
968#482—611no—
969#482—611no—
970#479—611no—
971#479C2×D6111yescharacteristic, complemented
972#479C2×D6111yescharacteristic, complemented
973#478—611no—
974#477—611no—
975#476—611no—
976#475—611no—
977#475C2×D6111yescharacteristic, complemented
978#474—611no—
979#474C2×D6111yescharacteristic
980#470—611no—
981#469—611no—
982#468—611no—
983#468—611no—
984#467—611no—
985#467C2×D6111yescharacteristic, complemented
986#467C2×D6111yescharacteristic, complemented
987#466—611no—
988#465—611no—
989#465—611no—
990#465C2×D6111yescharacteristic
991#465C2×D6111yescharacteristic
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#464—611no—
1000#464—611no—
1001#464C2×D6111yescharacteristic
1002#464C2×D6111yescharacteristic
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#462C2×D6111yescharacteristic, complemented
1014#461—611no—
1015#461C2×D6111yescharacteristic
1016#460—611no—
1017#460—611no—
1018#460—611no—
1019#460—611no—
1020#460—611no—
1021#459—611no—
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452—611no—
1028#452—611no—
1029#451—611no—
1030#451—611no—
1031#451—611no—
1032#450—611no—
1033#449—611no—
1034#449—611no—
1035#449—611no—
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#447—611no—
1040#446—611no—
1041#446—611no—
1042#442—611no—
1043#441—611no—
1044#441—611no—
1045#441—611no—
1046#440—611no—
1047#440—611no—
1048#440—611no—
1049#440—611no—
1050C4×Q16—611no—
1051C4×Q16—611no—
1052C4×SD16—611no—
1053C4×SD16—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058C8×D4—611no—
1059C8×D4—611no—
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424—611no—
1065C2×C4⋊C8C2×D6111yescharacteristic, complemented
1066#419—611no—
1067#418—611no—
1068#416—611no—
1069#416—611no—
1070#416—611no—
1071#416—611no—
1072C61#6201311yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41—611no—
1077C2×#41—611no—
1078C22×Q8—611no—
1079C22×Q8—611no—
1080C22×Q8—611no—
1081C22×D4—611no—
1082#137—2442no—
1083#137—2442no—
1084#135—2442no—
1085#135—2442no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16—611no—
1093C2×Q16—2442no—
1094C2×Q16C22×D6111yescharacteristic
1095C2×Q16C22×D6111yescharacteristic
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16—611no—
1104C2×SD16—611no—
1105C2×SD16—611no—
1106C2×SD16—2442no—
1107C2×SD16C22×D6111yescharacteristic
1108C2×SD16C22×D6111yescharacteristic
1109C2×D8—611no—
1110C2×D8—611no—
1111C2×D8—611no—
1112C2×M16—611no—
1113C2×M16—611no—
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8C22×D6111yescharacteristic
1117C22×C8C22×D6111yescharacteristic
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—1221no—
1123C4⋊Q8—1221no—
1124C4⋊Q8—1221no—
1125C4⋊Q8—1221no—
1126C4⋊Q8C22×D6111yescharacteristic
1127C4⋊Q8C22×D6111yescharacteristic
1128#127—611no—
1129#127—611no—
1130#127—1221no—
1131#126—21no—
1132#126—611no—
1133#126—611no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#126—1221no—
1143#126—1221no—
1144#126—1221no—
1145#126—1221no—
1146#125—21no—
1147#125—611no—
1148#125—1221no—
1149#125—1221no—
1150#125C22×D6111yescharacteristic
1151#124—611no—
1152#124—611no—
1153#124—611no—
1154#124—611no—
1155#124—611no—
1156#124—611no—
1157#124—611no—
1158#124—1221no—
1159#124—1221no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124—1221no—
1165#124—1221no—
1166#124—1221no—
1167#124—1221no—
1168#124—1221no—
1169#124C22×D6111yescharacteristic
1170#123—21no—
1171#123—611no—
1172#123—611no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185C22⋊Q8—21no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
1191C22⋊Q8—1221no—
1192C22⋊Q8—1221no—
1193C22⋊Q8—1221no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8C22×D6111yescharacteristic
1204C22⋊Q8C22×D6111yescharacteristic
1205C22⋊Q8C22×D6111yescharacteristic
1206#121—611no—
1207#121—611no—
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—1221no—
1212#121—1221no—
1213#121—1221no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121C22×D6111yescharacteristic
1228#120—1221no—
1229#120—1221no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—21no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—611no—
1240C4×Q8—611no—
1241C4×Q8—611no—
1242C4×Q8—1221no—
1243C4×Q8—1221no—
1244C4×Q8—1221no—
1245C4×Q8—1221no—
1246C4×Q8—1221no—
1247C4×Q8—1221no—
1248C4×Q8—1221no—
1249C4×Q8C22×D6111yescharacteristic
1250C4×Q8C22×D6111yescharacteristic
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—21no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—611no—
1259C4×D4—611no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4—1221no—
1271C4×D4C22×D6111yescharacteristic
1272#117—21no—
1273#117—21no—
1274#117—611no—
1275#117—611no—
1276#117—611no—
1277#117—611no—
1278#117—611no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117—1221no—
1286#117—1221no—
1287C2×C4⋊C4—1221no—
1288C2×C22⋊C4—1221no—
1289C2×C22⋊C4—1221no—
1290C2×C42—1221no—
1291C2×C42C22×D6111yescharacteristic
1292#107—611no—
1293#107—611no—
1294#107C22×D6111yescharacteristic
1295#107C22×D6111yescharacteristic
1296#106—611no—
1297#106—611no—
1298#106C22×D6111yescharacteristic
1299#106C22×D6111yescharacteristic
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8C22×D6111yescharacteristic
1307C4⋊C8C22×D6111yescharacteristic
1308C4⋊C8C22×D6111yescharacteristic
1309C4⋊C8C22×D6111yescharacteristic
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103C22×D6111yescharacteristic
1323#103C22×D6111yescharacteristic
1324#103C22×D6111yescharacteristic
1325#103C22×D6111yescharacteristic
1326#103C22×D6111yescharacteristic
1327#103C22×D6111yescharacteristic
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102—611no—
1337#102—611no—
1338#102—611no—
1339#102—611no—
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8—611no—
1347C22⋊C8—611no—
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97—611no—
1352C4×C8—611no—
1353C4×C8—611no—
1354C24—1221no—
1355#41—1222no—
1356#41—2441no—
1357#41—2441no—
1358#41—2441no—
1359#41—2441no—
1360#41—2441no—
1361#41—2441no—
1362#41—2441no—
1363#41—2441no—
1364#41—2441no—
1365C2×Q8—21no—
1366C2×Q8—611no—
1367C2×Q8—611no—
1368C2×Q8—611no—
1369C2×Q8—611no—
1370C2×Q8—1221no—
1371C2×Q8—1221no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1221no—
1375C2×Q8—1222no—
1376C2×Q8—1222no—
1377C2×Q8—2441no—
1378C2×Q8—2441no—
1379C2×Q8—2441no—
1380C2×Q8—2441no—
1381C2×Q8C23×D6111yescharacteristic
1382C2×Q8C23×D6111yescharacteristic
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—611no—
1386C2×D4—611no—
1387C2×D4—611no—
1388C2×D4—611no—
1389C2×D4—611no—
1390C2×D4—611no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4—1221no—
1394C2×D4—1221no—
1395C2×D4—1221no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4—1221no—
1405C2×D4—2441no—
1406C2×D4—2441no—
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—611no—
1410C22×C4—611no—
1411C22×C4—1221no—
1412C22×C4—1221no—
1413C22×C4—1221no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4D4×D6111yescharacteristic
1424C22×C4D4×D6111yescharacteristic
1425C22×C4C23×D6111yescharacteristic
1426Q16—41no—
1427Q16—41no—
1428Q16—1222no—
1429Q16—1222no—
1430Q16—1222no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—41no—
1436SD16—41no—
1437SD16—1222no—
1438SD16—1222no—
1439SD16—1222no—
1440SD16—2441no—
1441SD16—2441no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—2441no—
1448D8—2441no—
1449D8—2441no—
1450M16—2441no—
1451M16—2441no—
1452C2×C8—41no—
1453C2×C8—41no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—611no—
1457C2×C8—611no—
1458C2×C8—2441no—
1459C2×C8—2441no—
1460C2×C8C23×D6111yescharacteristic
1461C2×C8C23×D6111yescharacteristic
1462C2×C8C23×D6111yescharacteristic
1463C2×C8C23×D6111yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—611no—
1481C4⋊C4—611no—
1482C4⋊C4—611no—
1483C4⋊C4—611no—
1484C4⋊C4—611no—
1485C4⋊C4—611no—
1486C4⋊C4—611no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4C23×D6111yescharacteristic
1506C4⋊C4C23×D6111yescharacteristic
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—611no—
1517C22⋊C4—611no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—611no—
1524C22⋊C4—611no—
1525C22⋊C4—611no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4—1221no—
1552C22⋊C4—1221no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—611no—
1557C42—611no—
1558C42—1221no—
1559C42—1221no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42D4×D6111yescharacteristic
1570C42D4×D6111yescharacteristic
1571C42C23×D6111yescharacteristic
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—611no—
1575C23—611no—
1576C23—1221no—
1577C23—1221no—
1578C23—1221no—
1579C23—4881no—
1580C23—4881no—
1581C23—4881no—
1582C23C2×D4×D6111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—81no—
1590Q8—612no—
1591Q8—1221no—
1592Q8—1221no—
1593Q8—1221no—
1594Q8—1221no—
1595Q8—1221no—
1596Q8—4881no—
1597Q8—4881no—
1598Q8—4881no—
1599Q8—2441no—
1600Q8—2442no—
1601Q8—2442no—
1602D4—21no—
1603D4—21no—
1604D4—81no—
1605D4—1221no—
1606D4—1221no—
1607D4—1221no—
1608D4—1221no—
1609D4—1221no—
1610D4—1221no—
1611D4—4881no—
1612D4—4881no—
1613D4—4881no—
1614D4—4881no—
1615D4—4881no—
1616D4—4881no—
1617D4—4881no—
1618D4—4881no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—2441no—
1625D4—2441no—
1626D4—2441no—
1627D4—2442no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—81no—
1640C2×C4—611no—
1641C2×C4—611no—
1642C2×C4—611no—
1643C2×C4—611no—
1644C2×C4—611no—
1645C2×C4—611no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—4881no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—4881no—
1662C2×C4—4881no—
1663C2×C4—2442no—
1664C2×C4—2442no—
1665C2×C4—2442no—
1666C2×C4—2442no—
1667C2×C4C2×D4×D6111yescharacteristic
1668C2×C4C2×D4×D6111yescharacteristic
1669C2×C4C2×D4×D6111yescharacteristic
1670C2×C4C2×D4×D6111yescharacteristic
1671C2×C4C2×D4×D6111yescharacteristic
1672C2×C4C24×D6111yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C8—1221no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—1221no—
1688C22—1221no—
1689C22—1221no—
1690C22—1221no—
1691C22—1221no—
1692C22—1221no—
1693C22—9762no—
1694C22—2441no—
1695C22—2441no—
1696C22—2441no—
1697C22—2441no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22C22×D4×D6111yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—1221no—
1717C4—1221no—
1718C4—1222no—
1719C4—1221no—
1720C4—1221no—
1721C4—1221no—
1722C4—1221no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4H(5,𝔽2)×D6111yescharacteristic
1728C4#1684059911yescharacteristic
1729C2—41no—
1730C2—81no—
1731C2—4881no—
1732C2—4881no—
1733C2—4881no—
1734C2—2441no—
1735C2—2441no—
1736C2#2145948311yescharacteristic
1737C2#2146058811yescharacteristic
1738C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3248C2
socleC22×C61C23×D4
hypercenter#3248D61
hypocenterC61#62013
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3248

Complements

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

NH ≅ G/Ntype
1. #21460399C2semidirect
2. #21459828C2semidirect
3. #21458893C2semidirect
4. #21458892C2semidirect
5. #21458636C2semidirect
6. #21458562C2semidirect
7. #21458002C2semidirect
8. #21457972C2semidirect
9. #21457891C2semidirect
10. #21457861C2semidirect
11. #21457753C2semidirect
12. #21457731C2semidirect
13. #21457563C2semidirect
14. #21457533C2semidirect
15. #21457401C2semidirect
16. #21457395C2semidirect
17. #21457371C2semidirect
18. #21457335C2semidirect
19. #21457251C2semidirect
20. #21457236C2semidirect
21. #21456933C2semidirect
22. #21456920C2semidirect
23. #21456826C2semidirect
24. #21456121C2semidirect
25. #21456112C2semidirect
26. #21455922C2semidirect
27. #21455347C2semidirect
28. #21455338C2semidirect
29. #21455276C2semidirect
30. #21454955C2semidirect
31. C61×#3248C2semidirect
35. C2×#14519799C22semidirect
36. C2×Q16×D61C22semidirect
41. #16840492C22semidirect
42. #16840486C22semidirect
47. #16840483C22semidirect
58. #16840422C22semidirect
63. #16840384C22semidirect
79. #16840238C22semidirect
80. C4×#11758222C22semidirect
81. #16840155C22semidirect
83. #16840154C22semidirect
88. #16840124C22semidirect
91. #16840111C22semidirect
95. #16840100C22semidirect
97. #16840088C22semidirect
99. #16840066C22semidirect
100. #16840059C22semidirect
101. #16840056C22semidirect
103. #16840046C22semidirect
104. #16840041C22semidirect
106. #16840016C22semidirect
111. #16839994C22semidirect
114. #16839987C22semidirect
115. #16839987C22semidirect
118. #16839985C22semidirect
123. #16839980C22semidirect
125. #16839978C22semidirect
127. #16839973C22semidirect
128. #16839972C22semidirect
129. #16839972C22semidirect
130. #16839971C22semidirect
131. #16839970C22semidirect
132. #16839968C22semidirect
142. #16839922C22semidirect
143. #16839922C22semidirect
144. #16839922C22semidirect
148. #16839916C22semidirect
154. #16839902C22semidirect
155. #16839902C22semidirect
157. #16839891C22semidirect
158. #16839891C22semidirect
160. #16839868C22semidirect
161. #16839867C22semidirect
162. #16839866C22semidirect
165. #16839861C22semidirect
166. #16839860C22semidirect
167. #16839856C22semidirect
168. #16839854C22semidirect
170. #16839847C22semidirect
172. #16839833C22semidirect
176. C8×C22⋊D61C22semidirect
178. #16839822C22semidirect
179. #16839819C22semidirect
181. #16839787C22semidirect
182. #16839769C22semidirect
185. #16839759C22semidirect
188. C61×#533C22semidirect
190. C61×#479C22semidirect
191. C61×#479C22semidirect
192. C61×#475C22semidirect
194. C61×#467C22semidirect
195. C61×#467C22semidirect
200. C61×#462C22semidirect
202. C2×C4⋊C8×C61C22semidirect
880. #3248D61semidirect
944. #533C2×D61semidirect
971. #479C2×D61semidirect
972. #479C2×D61semidirect
977. #475C2×D61semidirect
985. #467C2×D61semidirect
986. #467C2×D61semidirect
1013. #462C2×D61semidirect
1065. C2×C4⋊C8C2×D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214603992
#214598282
#214588932
#214588922
#214586362
#214585622
#214580022
#214579722
#214578912
#214578612
#214577532
#214577312
#214575632
#214575332
#214574012
#214573952
#214573712
#214573352
#214572512
#214572362
#214569332
#214569202
#214568262
#214561212
#214561122
#214559222
#214553472
#214553382
#214552762
#214549552
C61×#32482
#6201361