Finite Group Databasebeta

← #30573473

Subgroups — #30573473

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#21460410C211yesmaximal, characteristic, complemented
2#21459831C211yesmaximal, characteristic, complemented
3#21458893C211yesmaximal, characteristic, complemented
4#21458884C211yesmaximal, characteristic, complemented
5#21458628C211yesmaximal, characteristic, complemented
6#21458560C211yesmaximal, characteristic, complemented
7#21458005C211yesmaximal, characteristic, complemented
8#21457977C211yesmaximal, characteristic, complemented
9#21457878C211yesmaximal, characteristic, complemented
10#21457850C211yesmaximal, characteristic, complemented
11#21457753C211yesmaximal, characteristic, complemented
12#21457729C211yesmaximal, characteristic, complemented
13#21457560C211yesmaximal, characteristic, complemented
14#21457519C211yesmaximal, characteristic, complemented
15#21457407C211yesmaximal, characteristic, complemented
16#21457368C211yesmaximal, characteristic, complemented
17#21457330C211yesmaximal, characteristic, complemented
18#21457240C211yesmaximal, characteristic, complemented
19#21457233C211yesmaximal, characteristic, complemented
20#21457154C211yesmaximal, characteristic, complemented
21#21456934C211yesmaximal, characteristic, complemented
22#21456919C211yesmaximal, characteristic, complemented
23#21456825C211yesmaximal, characteristic, complemented
24#21456113C211yesmaximal, characteristic, complemented
25#21456104C211yesmaximal, characteristic, complemented
26#21455934C211yesmaximal, characteristic, complemented
27#21455346C211yesmaximal, characteristic, complemented
28#21455342C211yesmaximal, characteristic, complemented
29#21455273C211yesmaximal, characteristic, complemented
30#21454954C211yesmaximal, characteristic, complemented
31C61×#3270C211yesmaximal, characteristic, complemented
32C2×#14519808C2211yescharacteristic
33C2×#14519800C2211yescharacteristic
34C2×#14519798C2211yescharacteristic, complemented
35C22×#11758201C2211yescharacteristic
36#16840508—21no—
37#16840500—21no—
38#16840494C2211yescharacteristic
39Q8×Dic122C2211yescharacteristic, complemented
40#16840486—21no—
41#16840486C2211yescharacteristic, complemented
42#16840484C2211yescharacteristic
43#16840483—21no—
44#16840483—21no—
45#16840483C2211yescharacteristic
46#16840483C2211yescharacteristic, complemented
47#16840477—21no—
48#16840477C2211yescharacteristic
49#16840461—21no—
50#16840442—21no—
51#16840430C2211yescharacteristic
52#16840423C2211yescharacteristic
53#16840423C2211yescharacteristic
54#16840423C2211yescharacteristic, complemented
55#16840411C2211yescharacteristic
56#16840408C2211yescharacteristic
57#16840403C2211yescharacteristic
58#16840385—21no—
59#16840385—21no—
60#16840385C2211yescharacteristic
61#16840385C2211yescharacteristic, complemented
62#16840372C2211yescharacteristic
63#16840365C2211yescharacteristic
64#16840363—21no—
65#16840361—21no—
66#16840346—21no—
67#16840344—21no—
68#16840336C2211yescharacteristic
69#16840326C2211yescharacteristic
70#16840317—21no—
71#16840317C2211yescharacteristic, complemented
72#16840311C2211yescharacteristic
73#16840299C2211yescharacteristic
74#16840294—21no—
75#16840294C2211yescharacteristic
76#16840240C2211yescharacteristic
77#16840240C2211yescharacteristic, complemented
78C4×#11758226C2211yescharacteristic, complemented
79#16840155C2211yescharacteristic, complemented
80#16840154C2211yescharacteristic
81#16840148C2211yescharacteristic
82#16840147C2211yescharacteristic
83#16840147C2211yescharacteristic
84#16840123C2211yescharacteristic
85#16840123C2211yescharacteristic
86#16840122C2211yescharacteristic
87#16840121C2211yescharacteristic, complemented
88#16840111C2211yescharacteristic, complemented
89#16840107C2211yescharacteristic
90#16840104C2211yescharacteristic
91#16840101C2211yescharacteristic, complemented
92#16840100C2211yescharacteristic
93#16840088C2211yescharacteristic
94#16840087C2211yescharacteristic
95#16840083C2211yescharacteristic, complemented
96#16840071C2211yescharacteristic, complemented
97#16840071C2211yescharacteristic, complemented
98#16840067C2211yescharacteristic, complemented
99#16840061C2211yescharacteristic, complemented
100#16840055C2211yescharacteristic, complemented
101#16840051C2211yescharacteristic
102#16840047C2211yescharacteristic, complemented
103#16840046C2211yescharacteristic, complemented
104#16840043C2211yescharacteristic
105#16840040C2211yescharacteristic, complemented
106#16840013C2211yescharacteristic, complemented
107#16840010C2211yescharacteristic
108#16840008C2211yescharacteristic
109#16840001C2211yescharacteristic
110#16840000C2211yescharacteristic, complemented
111#16840000C2211yescharacteristic, complemented
112#16839998C2211yescharacteristic
113#16839994C2211yescharacteristic
114#16839994C2211yescharacteristic
115#16839993C2211yescharacteristic
116#16839987C2211yescharacteristic, complemented
117#16839986C2211yescharacteristic
118#16839986C2211yescharacteristic
119#16839986C2211yescharacteristic
120#16839986C2211yescharacteristic
121#16839986C2211yescharacteristic
122#16839986C2211yescharacteristic
123#16839986C2211yescharacteristic
124#16839986C2211yescharacteristic, complemented
125#16839984C2211yescharacteristic
126#16839980C2211yescharacteristic
127#16839980C2211yescharacteristic
128#16839979C2211yescharacteristic, complemented
129#16839978C2211yescharacteristic
130#16839974C2211yescharacteristic, complemented
131#16839970C2211yescharacteristic, complemented
132#16839970C2211yescharacteristic, complemented
133#16839970C2211yescharacteristic, complemented
134#16839970C2211yescharacteristic, complemented
135#16839970C2211yescharacteristic, complemented
136#16839966C2211yescharacteristic, complemented
137#16839964C2211yescharacteristic
138#16839960C2211yescharacteristic
139#16839960C2211yescharacteristic
140#16839960C2211yescharacteristic
141#16839960C2211yescharacteristic
142#16839960C2211yescharacteristic
143#16839956C2211yescharacteristic
144#16839923C2211yescharacteristic
145#16839923C2211yescharacteristic
146#16839923C2211yescharacteristic, complemented
147#16839922C2211yescharacteristic
148#16839921C2211yescharacteristic, complemented
149#16839921C2211yescharacteristic, complemented
150#16839918C2211yescharacteristic
151#16839912C2211yescharacteristic
152#16839910C2211yescharacteristic
153#16839909C2211yescharacteristic
154#16839907C2211yescharacteristic
155#16839901C2211yescharacteristic
156#16839901C2211yescharacteristic, complemented
157#16839898C2211yescharacteristic
158#16839891C2211yescharacteristic, complemented
159#16839890C2211yescharacteristic, complemented
160#16839875C2211yescharacteristic
161#16839869C2211yescharacteristic, complemented
162#16839866C2211yescharacteristic, complemented
163#16839865C2211yescharacteristic
164#16839863C2211yescharacteristic, complemented
165#16839860C2211yescharacteristic
166#16839860C2211yescharacteristic, complemented
167Q16×Dic61C2211yescharacteristic, complemented
168#16839854C2211yescharacteristic, complemented
169SD16×Dic61C2211yescharacteristic, complemented
170#16839847C2211yescharacteristic
171#16839836C2211yescharacteristic, complemented
172#16839834C2211yescharacteristic
173#16839831C2211yescharacteristic
174C8×C22⋊D61C2211yescharacteristic, complemented
175#16839825C2211yescharacteristic
176#16839820C2211yescharacteristic
177#16839820C2211yescharacteristic, complemented
178#16839817C2211yescharacteristic, complemented
179#16839790C2211yescharacteristic
180#16839788C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839771C2211yescharacteristic, complemented
183#16839768C2211yescharacteristic
184#16839759C2211yescharacteristic
185#16839758C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839755C2211yescharacteristic, complemented
188C2×#137×C61C2211yescharacteristic
189C22×Q16×C61C2211yescharacteristic, complemented
190D4×Q8×C61C2211yescharacteristic
191C61×#548C2211yescharacteristic
192C61×#497C2211yescharacteristic, complemented
193C61×#470C2211yescharacteristic
194C61×#465C2211yescharacteristic, complemented
195C61×#464C2211yescharacteristic, complemented
196C61×#462C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic
198C61×#451C2211yescharacteristic
199C61×#451C2211yescharacteristic, complemented
200C61×#448C2211yescharacteristic, complemented
201C61×#441C2211yescharacteristic, complemented
202C61×#435C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C22×D244C2311yescharacteristic
208#14519808—42no—
209#14519800—42no—
210#14519798—42no—
211C2×#11758202C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758201—42no—
216C2×#11758201C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×#11758201C2311yescharacteristic
220C2×#11758201C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223C2×#11758201C2311yescharacteristic
224C2×D488C2311yescharacteristic
225C2×D488C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227C2×#11758194C2311yescharacteristic
228C22×#92418C2311yescharacteristic
229C2×C8×D61C2311yescharacteristic
230C2×C8×D61C2311yescharacteristic
231#14519777—21no—
232#14519777C2311yescharacteristic
233#14519776—21no—
234#14519776—21no—
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519775C2311yescharacteristic
238#14519775C2311yescharacteristic
239#14519773—21no—
240#14519773C2311yescharacteristic
241#14519773C2311yescharacteristic
242#14519772—21no—
243#14519772—21no—
244#14519772—21no—
245#14519772—21no—
246#14519772—21no—
247#14519772—21no—
248#14519772—21no—
249#14519772—21no—
250#14519771—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770D411yescharacteristic
256#14519770D411yescharacteristic
257#14519768—21no—
258#14519768—21no—
259#14519768D411yescharacteristic
260#14519768C2311yescharacteristic
261#14519767—21no—
262#14519766—21no—
263#14519766—21no—
264#14519766—21no—
265#14519766C2311yescharacteristic
266#14519766C2311yescharacteristic
267#14519766C2311yescharacteristic
268#14519766C2311yescharacteristic
269#14519766C2311yescharacteristic
270#14519765C2311yescharacteristic
271#14519764D411yescharacteristic
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519761—21no—
283#14519761—21no—
284#14519760—21no—
285#14519760—21no—
286#14519760—21no—
287#14519759—21no—
288#14519759—21no—
289#14519759—21no—
290#14519759—21no—
291#14519759D411yescharacteristic
292#14519759D411yescharacteristic
293#14519758—21no—
294#14519757—21no—
295#14519757—21no—
296#14519757—21no—
297#14519757—21no—
298#14519757D411yescharacteristic
299#14519756C2311yescharacteristic
300#14519755—21no—
301#14519753—21no—
302#14519753—21no—
303#14519753—21no—
304#14519753—21no—
305#14519753—21no—
306#14519753C2311yescharacteristic
307#14519753C2311yescharacteristic
308#14519753C2311yescharacteristic
309#14519752—21no—
310#14519752C2311yescharacteristic
311#14519751—21no—
312#14519751—21no—
313#14519751—21no—
314#14519751—21no—
315#14519751—21no—
316#14519751C2311yescharacteristic
317#14519751C2311yescharacteristic
318#14519751C2311yescharacteristic
319#14519750—21no—
320#14519750—21no—
321#14519750—21no—
322#14519750—21no—
323#14519749—21no—
324#14519749—21no—
325#14519749—21no—
326#14519748—21no—
327#14519748—21no—
328#14519748D411yescharacteristic
329#14519747—21no—
330#14519745—21no—
331#14519745—21no—
332#14519745—21no—
333Q8×Dic61—21no—
334Q8×Dic61—21no—
335Q8×Dic61—21no—
336Q8×Dic61—21no—
337Q8×Dic61C2311yescharacteristic
338Q8×Dic61C2311yescharacteristic
339Q8×Dic61C2311yescharacteristic
340Q8×Dic61C2311yescharacteristic
341Q8×Dic61C2311yescharacteristic
342Q8×Dic61C2311yescharacteristic
343Q8×Dic61C2311yescharacteristic
344Q8×Dic61C2311yescharacteristic
345C4×Dic122—21no—
346C4×Dic122C2311yescharacteristic
347#14519742—21no—
348#14519742—21no—
349#14519742—21no—
350#14519742C2311yescharacteristic
351C4×D244—21no—
352C4×D244—21no—
353C4×D244C2311yescharacteristic
354C4×D244C2311yescharacteristic
355D4×Dic61C2311yescharacteristic
356#14519739—21no—
357#14519739C2311yescharacteristic
358#14519739C2311yescharacteristic
359C4×C22⋊D61—21no—
360C4×C22⋊D61—21no—
361C4×C22⋊D61—21no—
362C4×C22⋊D61C2311yescharacteristic
363C4×C22⋊D61C2311yescharacteristic
364#14519737—21no—
365#14519737—21no—
366#14519737—21no—
367#14519737—21no—
368#14519736—21no—
369#14519736—21no—
370#14519736—21no—
371#14519736—21no—
372#14519736C2311yescharacteristic
373#14519736C2311yescharacteristic
374#14519736C2311yescharacteristic
375#14519736C2311yescharacteristic
376#14519735—21no—
377#14519735—21no—
378#14519735—21no—
379#14519735—21no—
380#14519735C2311yescharacteristic
381#14519734—21no—
382#14519734—21no—
383C2×#11758196—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C42×D61—21no—
387C42×D61C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519711C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431C22⋊#92418C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519688C2311yescharacteristic
435#14519687C2311yescharacteristic
436#14519687C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C22×Q8×C61C2311yescharacteristic
441C22×Q8×C61C2311yescharacteristic
442C22×Q8×C61C2311yescharacteristic
443#137×C61—42no—
444C2×Q16×C61—42no—
445C2×Q16×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×Q16×C61C2311yescharacteristic
448C2×Q16×C61C2311yescharacteristic
449C2×Q16×C61C2311yescharacteristic
450C2×Q16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×SD16×C61C2311yescharacteristic
453C2×SD16×C61C2311yescharacteristic
454C2×M16×C61C2311yescharacteristic
455C22×C8×C61C2311yescharacteristic
456C4⋊Q8×C61—21no—
457C4⋊Q8×C61C2311yescharacteristic
458#124×C61—21no—
459#124×C61C2311yescharacteristic
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61—21no—
462C22⋊Q8×C61—21no—
463C22⋊Q8×C61C2311yescharacteristic
464C22⋊Q8×C61C2311yescharacteristic
465C22⋊Q8×C61C2311yescharacteristic
466#121×C61—21no—
467#121×C61C2311yescharacteristic
468C4×Q8×C61C2311yescharacteristic
469C4×Q8×C61C2311yescharacteristic
470C4×D4×C61—21no—
471C4×D4×C61—21no—
472C4×D4×C61C2311yescharacteristic
473#106×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483#97×C61C2311yescharacteristic
484C23×D61—21no—
485#41×C61—41no—
486#41×C61—41no—
487C2×Q8×C61—21no—
488C2×Q8×C61—21no—
489C2×Q8×C61—21no—
490C2×Q8×C61—22no—
491C2×Q8×C61—22no—
492C2×Q8×C61—41no—
493C2×Q8×C61—41no—
494C2×Q8×C61—41no—
495C2×Q8×C61—41no—
496C2×Q8×C61C2411yescharacteristic
497C2×Q8×C61C2411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×Q8×C61C2411yescharacteristic
500C2×Q8×C61C2411yescharacteristic
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61C2×D411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C22×C4×C61—21no—
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61C2411yescharacteristic
510C22×C4×C61C2411yescharacteristic
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61C2×D411yescharacteristic
521C2×C22⋊D61C2×D411yescharacteristic
522C22×Dic61—21no—
523C22×Dic61—21no—
524#11758226—22no—
525#11758226—41no—
526#11758226—41no—
527#11758226—41no—
528#11758224—41no—
529#11758224—41no—
530#11758222—41no—
531#11758222—41no—
532C2×D244—21no—
533C2×D244—21no—
534C2×D244—21no—
535C2×D244—21no—
536C2×D244—41no—
537C2×D244—41no—
538C2×D244C2411yescharacteristic
539C2×D244C2411yescharacteristic
540C2×D244C2411yescharacteristic
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61C2×D411yescharacteristic
549C2×C4×D61C2×D411yescharacteristic
550C2×C4×D61C2411yescharacteristic
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—21no—
554C2×Dic122C2×D411yescharacteristic
555C2×Dic122C2411yescharacteristic
556Q16×C61—22no—
557Q16×C61—22no—
558Q16×C61—41no—
559Q16×C61—41no—
560Q16×C61—41no—
561Q16×C61—41no—
562SD16×C61—22no—
563SD16×C61—41no—
564SD16×C61—41no—
565M16×C61—41no—
566C2×C8×C61—41no—
567C2×C8×C61C2411yescharacteristic
568C2×C8×C61C2411yescharacteristic
569C2×C8×C61C2411yescharacteristic
570C2×C8×C61C2411yescharacteristic
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×C61—21no—
578C4⋊C4×C61C2×D411yescharacteristic
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×C61C2×D411yescharacteristic
588C22⋊C4×C61C2×D411yescharacteristic
589C42×C61—21no—
590C42×C61—21no—
591C42×C61C2411yescharacteristic
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61C2×D411yescharacteristic
597C22⋊Dic61C2×D411yescharacteristic
598C22⋊Dic61C2×D411yescharacteristic
599C22⋊Dic61C2×D411yescharacteristic
600C22⋊Dic61C2×D411yescharacteristic
601C22⋊Dic61C2×D411yescharacteristic
602#11758202—22no—
603#11758202—41no—
604#11758202—41no—
605#11758201—22no—
606#11758201—22no—
607#11758201—41no—
608#11758201—41no—
609#11758201—41no—
610#11758201—41no—
611#11758201—41no—
612#11758201—41no—
613#11758199—41no—
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#11758198—21no—
637#11758198—21no—
638#11758198C2×D411yescharacteristic
639#11758198C2×D411yescharacteristic
640C4⋊Dic61—21no—
641C4⋊Dic61—21no—
642C4⋊Dic61—21no—
643C4⋊Dic61—21no—
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⋊Dic61C2×D411yescharacteristic
653C4⋊Dic61C2×D411yescharacteristic
654C4⋊Dic61C2×D411yescharacteristic
655C4⋊Dic61C2411yescharacteristic
656C4⋊Dic61C2411yescharacteristic
657C4⋊Dic61C2411yescharacteristic
658C4⋊Dic61C2411yescharacteristic
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
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×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61C2×D411yescharacteristic
688C4×Dic61C2×D411yescharacteristic
689C4×Dic61C2411yescharacteristic
690C4×Dic61C2411yescharacteristic
691C4×Dic61C2411yescharacteristic
692#11758194—41no—
693C2×#92418—41no—
694C2×#92418C2411yescharacteristic
695C2×#92418C2411yescharacteristic
696C2×#92418C2411yescharacteristic
697C2×#92418C2411yescharacteristic
698D488—41no—
699D488—41no—
700#11758190—41no—
701C8×D61—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61C22×D411yescharacteristic
705C23×C61C22×D411yescharacteristic
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—81no—
710C22×D61—81no—
711C22×D61—81no—
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61—21no—
719Q8×C61—21no—
720Q8×C61—21no—
721Q8×C61—21no—
722Q8×C61—42no—
723Q8×C61—42no—
724Q8×C61—81no—
725Q8×C61H(5,𝔽2)12yes—
726D4×C61—21no—
727D4×C61—21no—
728D4×C61—41no—
729D4×C61—81no—
730D4×C61—81no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—42no—
743C2×C4×C61—42no—
744C2×C4×C61—81no—
745C2×C4×C61—81no—
746C2×C4×C61C22×D411yescharacteristic
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C22×D411yescharacteristic
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C2511yescharacteristic
751C22⋊D61—41no—
752C22⋊D61—41no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C22⋊D61—81no—
756C22⋊D61—81no—
757C22⋊D61—81no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C22⋊D61—81no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—81no—
768C2×Dic61—81no—
769C2×Dic61C22×D411yescharacteristic
770C2×Dic61C22×D411yescharacteristic
771C2×Dic61C22×D411yescharacteristic
772C2×Dic61C22×D411yescharacteristic
773C2×Dic61C22×D411yescharacteristic
774C2×Dic61C22×D411yescharacteristic
775C2×Dic61C22×D411yescharacteristic
776D244—21no—
777D244—21no—
778D244—21no—
779D244—21no—
780D244—21no—
781D244—21no—
782D244—42no—
783D244—81no—
784D244—81no—
785D244—81no—
786C4×D61—21no—
787C4×D61—21no—
788C4×D61—41no—
789C4×D61—41no—
790C4×D61—42no—
791C4×D61—42no—
792C4×D61—81no—
793C4×D61—81no—
794C4×D61—81no—
795C4×D61—81no—
796C4×D61—81no—
797Dic122—21no—
798Dic122—21no—
799Dic122—41no—
800Dic122—81no—
801Dic122—81no—
802Dic122—81no—
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—21no—
816C22×C61—21no—
817C22×C61—21no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61C23×D411yescharacteristic
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—22no—
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×C61C2×H(5,𝔽2)11yescharacteristic
847C4×C61#58511yescharacteristic
848Dic61—21no—
849Dic61—21no—
850Dic61—21no—
851Dic61—21no—
852Dic61—21no—
853Dic61—21no—
854Dic61—21no—
855Dic61—41no—
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#3270D6111yescharacteristic, complemented
876#3269—611no—
877#3266—611no—
878#3258—611no—
879#3257—611no—
880#3248—611no—
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—41no—
893C2×C61—81no—
894C2×C61#348811yescharacteristic
895C2×C61#358411yescharacteristic
896C2×C61#358611yescharacteristic
897D61—41no—
898D61—81no—
899D61—81no—
900D61—81no—
901C2×#137—611no—
902C2×#137C2×D6111yescharacteristic
903C2×#135—611no—
904C2×#135—611no—
905C22×Q16C2×D6111yescharacteristic, complemented
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×Q8C2×D6111yescharacteristic
924#548—611no—
925#548—611no—
926#548—611no—
927#548C2×D6111yescharacteristic
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—611no—
944#533—1221no—
945#532—611no—
946#529—611no—
947#529—611no—
948#529—1221no—
949#519—611no—
950#519—611no—
951C4×#41—611no—
952#497—611no—
953#497—611no—
954#497C2×D6111yescharacteristic, complemented
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#479—611no—
972#479—611no—
973#478—611no—
974#477—611no—
975#476—611no—
976#475—611no—
977#475—611no—
978#474—611no—
979#474—611no—
980#470C2×D6111yescharacteristic
981#469—611no—
982#468—611no—
983#468—611no—
984#467—611no—
985#467—611no—
986#467—611no—
987#466—611no—
988#465—611no—
989#465—611no—
990#465—611no—
991#465C2×D6111yescharacteristic, complemented
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#464—611no—
1002#464C2×D6111yescharacteristic, complemented
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#461—611no—
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#452C2×D6111yescharacteristic
1029#451—611no—
1030#451C2×D6111yescharacteristic
1031#451C2×D6111yescharacteristic, complemented
1032#450—611no—
1033#449—611no—
1034#449—611no—
1035#449—611no—
1036#448—611no—
1037#448—611no—
1038#448C2×D6111yescharacteristic, complemented
1039#447—611no—
1040#446—611no—
1041#446—611no—
1042#442—611no—
1043#441—611no—
1044#441—611no—
1045#441C2×D6111yescharacteristic, complemented
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#435C2×D6111yescharacteristic
1058C8×D4—611no—
1059C8×D4—611no—
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424—611no—
1065C2×C4⋊C8—611no—
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×#41C22×D6111yescharacteristic
1078C22×Q8C22×D6111yescharacteristic
1079C22×Q8C22×D6111yescharacteristic
1080C22×Q8C22×D6111yescharacteristic
1081C22×D4—611no—
1082#137—42no—
1083#137—2442no—
1084#135—2442no—
1085#135—2442no—
1086C2×Q16—42no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16C22×D6111yescharacteristic
1091C2×Q16C22×D6111yescharacteristic
1092C2×Q16C22×D6111yescharacteristic
1093C2×Q16C22×D6111yescharacteristic
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—2442no—
1106C2×SD16C22×D6111yescharacteristic
1107C2×SD16C22×D6111yescharacteristic
1108C2×SD16C22×D6111yescharacteristic
1109C2×D8—611no—
1110C2×D8—611no—
1111C2×D8—611no—
1112C2×M16—611no—
1113C2×M16C22×D6111yescharacteristic
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8—611no—
1117C22×C8C22×D6111yescharacteristic
1118C4⋊Q8—21no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—611no—
1123C4⋊Q8—611no—
1124C4⋊Q8—1221no—
1125C4⋊Q8—1221no—
1126C4⋊Q8—1221no—
1127C4⋊Q8C22×D6111yescharacteristic
1128#127—611no—
1129#127—611no—
1130#127—1221no—
1131#126—611no—
1132#126—611no—
1133#126—1221no—
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—611no—
1147#125—611no—
1148#125—1221no—
1149#125—1221no—
1150#125—1221no—
1151#124—21no—
1152#124—611no—
1153#124—611no—
1154#124—611no—
1155#124—611no—
1156#124—611no—
1157#124—611no—
1158#124—611no—
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—611no—
1171#123—611no—
1172#123—1221no—
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—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
1191C22⋊Q8—611no—
1192C22⋊Q8—611no—
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—21no—
1207#121—611no—
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—611no—
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—611no—
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×Q8—1221no—
1250C4×Q8C22×D6111yescharacteristic
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—611no—
1259C4×D4—611no—
1260C4×D4—611no—
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—611no—
1273#117—611no—
1274#117—611no—
1275#117—611no—
1276#117—611no—
1277#117—1221no—
1278#117—1221no—
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—611no—
1291C2×C42—1221no—
1292#107—611no—
1293#107—611no—
1294#107—611no—
1295#107—611no—
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106C22×D6111yescharacteristic
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8—611no—
1308C4⋊C8—611no—
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#103—611no—
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#102—611no—
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8C22×D6111yescharacteristic
1347C22⋊C8C22×D6111yescharacteristic
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97C22×D6111yescharacteristic
1352C4×C8—611no—
1353C4×C8—611no—
1354C24—1221no—
1355#41—41no—
1356#41—41no—
1357#41—1222no—
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—21no—
1367C2×Q8—21no—
1368C2×Q8—22no—
1369C2×Q8—22no—
1370C2×Q8—41no—
1371C2×Q8—41no—
1372C2×Q8—41no—
1373C2×Q8—41no—
1374C2×Q8—611no—
1375C2×Q8—611no—
1376C2×Q8—1221no—
1377C2×Q8—1221no—
1378C2×Q8—1221no—
1379C2×Q8C23×D6111yescharacteristic
1380C2×Q8C23×D6111yescharacteristic
1381C2×Q8C23×D6111yescharacteristic
1382C2×Q8C23×D6111yescharacteristic
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—21no—
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—2441no—
1405C2×D4—2441no—
1406C2×D4D4×D6111yescharacteristic
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—611no—
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×C4—1221no—
1424C22×C4C23×D6111yescharacteristic
1425C22×C4C23×D6111yescharacteristic
1426Q16—22no—
1427Q16—22no—
1428Q16—41no—
1429Q16—41no—
1430Q16—41no—
1431Q16—41no—
1432Q16—1222no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—22no—
1436SD16—41no—
1437SD16—41no—
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—41no—
1451M16—2441no—
1452C2×C8—41no—
1453C2×C8—611no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—611no—
1457C2×C8—2441no—
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—611no—
1472C4⋊C4—611no—
1473C4⋊C4—611no—
1474C4⋊C4—611no—
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—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
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⋊C4—1221no—
1506C4⋊C4D4×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—611no—
1516C22⋊C4—611no—
1517C22⋊C4—611no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1552C22⋊C4D4×D6111yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—611no—
1556C42—611no—
1557C42—611no—
1558C42—611no—
1559C42—611no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42—1221no—
1570C42—1221no—
1571C42—1221no—
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—611no—
1575C23—1221no—
1576C23—1221no—
1577C23—1221no—
1578C23—4881no—
1579C23—4881no—
1580C23—4881no—
1581C23C2×D4×D6111yescharacteristic
1582C23C2×D4×D6111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—21no—
1592Q8—42no—
1593Q8—42no—
1594Q8—81no—
1595Q8—1221no—
1596Q8—1221no—
1597Q8—4881no—
1598Q8—4881no—
1599Q8—4881no—
1600Q8—2441no—
1601Q8#1451982212yes—
1602D4—21no—
1603D4—21no—
1604D4—41no—
1605D4—81no—
1606D4—81no—
1607D4—1221no—
1608D4—1221no—
1609D4—1221no—
1610D4—1221no—
1611D4—1221no—
1612D4—1221no—
1613D4—4881no—
1614D4—4881no—
1615D4—4881no—
1616D4—4881no—
1617D4—4881no—
1618D4—4881no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—4881no—
1625D4—2442no—
1626D4—2441no—
1627D4—2441no—
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—21no—
1638C2×C4—21no—
1639C2×C4—42no—
1640C2×C4—42no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—611no—
1644C2×C4—611no—
1645C2×C4—611no—
1646C2×C4—611no—
1647C2×C4—611no—
1648C2×C4—611no—
1649C2×C4—611no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—4881no—
1662C2×C4—4881no—
1663C2×C4—4881no—
1664C2×C4—2441no—
1665C2×C4—2441no—
1666C2×C4—2442no—
1667C2×C4—2442no—
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—21no—
1685C22—21no—
1686C22—21no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
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—22no—
1707C4—21no—
1708C4—21no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—1221no—
1716C4—1221no—
1717C4—1221no—
1718C4—1221no—
1719C4—1221no—
1720C4—1221no—
1721C4—1221no—
1722C4—2441no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4C2×#1451982211yescharacteristic
1728C4#1684059711yescharacteristic
1729C2—41no—
1730C2—41no—
1731C2—81no—
1732C2—4881no—
1733C2—4881no—
1734C2—4881no—
1735C2—2441no—
1736C2#2145947911yescharacteristic
1737C2#2146058911yescharacteristic
1738C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3270C2
socleC22×C61C23×D4
hypercenter#3270D61
hypocenterC61#62013
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3270

Complements

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

NH ≅ G/Ntype
1. #21460410C2semidirect
2. #21459831C2semidirect
3. #21458893C2semidirect
4. #21458884C2semidirect
5. #21458628C2semidirect
6. #21458560C2semidirect
7. #21458005C2semidirect
8. #21457977C2semidirect
9. #21457878C2semidirect
10. #21457850C2semidirect
11. #21457753C2semidirect
12. #21457729C2semidirect
13. #21457560C2semidirect
14. #21457519C2semidirect
15. #21457407C2semidirect
16. #21457368C2semidirect
17. #21457330C2semidirect
18. #21457240C2semidirect
19. #21457233C2semidirect
20. #21457154C2semidirect
21. #21456934C2semidirect
22. #21456919C2semidirect
23. #21456825C2semidirect
24. #21456113C2semidirect
25. #21456104C2semidirect
26. #21455934C2semidirect
27. #21455346C2semidirect
28. #21455342C2semidirect
29. #21455273C2semidirect
30. #21454954C2semidirect
31. C61×#3270C2semidirect
34. C2×#14519798C22semidirect
39. Q8×Dic122C22semidirect
41. #16840486C22semidirect
46. #16840483C22semidirect
54. #16840423C22semidirect
61. #16840385C22semidirect
71. #16840317C22semidirect
77. #16840240C22semidirect
78. C4×#11758226C22semidirect
79. #16840155C22semidirect
87. #16840121C22semidirect
88. #16840111C22semidirect
91. #16840101C22semidirect
95. #16840083C22semidirect
96. #16840071C22semidirect
97. #16840071C22semidirect
98. #16840067C22semidirect
99. #16840061C22semidirect
100. #16840055C22semidirect
102. #16840047C22semidirect
103. #16840046C22semidirect
105. #16840040C22semidirect
106. #16840013C22semidirect
110. #16840000C22semidirect
111. #16840000C22semidirect
116. #16839987C22semidirect
124. #16839986C22semidirect
128. #16839979C22semidirect
130. #16839974C22semidirect
131. #16839970C22semidirect
132. #16839970C22semidirect
133. #16839970C22semidirect
134. #16839970C22semidirect
135. #16839970C22semidirect
136. #16839966C22semidirect
146. #16839923C22semidirect
148. #16839921C22semidirect
149. #16839921C22semidirect
156. #16839901C22semidirect
158. #16839891C22semidirect
159. #16839890C22semidirect
161. #16839869C22semidirect
162. #16839866C22semidirect
164. #16839863C22semidirect
166. #16839860C22semidirect
167. Q16×Dic61C22semidirect
168. #16839854C22semidirect
169. SD16×Dic61C22semidirect
171. #16839836C22semidirect
174. C8×C22⋊D61C22semidirect
177. #16839820C22semidirect
178. #16839817C22semidirect
180. #16839788C22semidirect
181. C4⋊C8×D61C22semidirect
182. #16839771C22semidirect
187. #16839755C22semidirect
189. C22×Q16×C61C22semidirect
192. C61×#497C22semidirect
194. C61×#465C22semidirect
195. C61×#464C22semidirect
196. C61×#462C22semidirect
199. C61×#451C22semidirect
200. C61×#448C22semidirect
201. C61×#441C22semidirect
875. #3270D61semidirect
905. C22×Q16C2×D61semidirect
954. #497C2×D61semidirect
991. #465C2×D61semidirect
1002. #464C2×D61semidirect
1013. #462C2×D61semidirect
1031. #451C2×D61semidirect
1038. #448C2×D61semidirect
1045. #441C2×D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214604102
#214598312
#214588932
#214588842
#214586282
#214585602
#214580052
#214579772
#214578782
#214578502
#214577532
#214577292
#214575602
#214575192
#214574072
#214573682
#214573302
#214572402
#214572332
#214571542
#214569342
#214569192
#214568252
#214561132
#214561042
#214559342
#214553462
#214553422
#214552732
#214549542
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